From 9f330d9d7196da4ab5cd5eb4e7e7dc0cd453c700 Mon Sep 17 00:00:00 2001
From: adamv-symbolica <adam.vandervorst@symbolica.ai>
Date: Wed, 19 Aug 2026 15:36:50 +0100
Subject: [PATCH 1/9] Projection-aware join: answer an unread variable with one
 witness

A body variable that no template reads and that the body mentions once
is invisible downstream: every value past the first re-derives an
answer byte-for-byte, which the trie then dedups. Both engines stop at
the first witness.

space.rs computes the mask once per transform and marks a variable only
inside its conjunct's TRAILING run -- anything after it in the same
conjunct draws its values from the subtrie the choice selects, so
cutting there would drop answers rather than duplicates. The walk is
allocation-free and does not read the templates at all unless the body
leaves a candidate a template could disqualify.

Only the plain `,` -> `,` write form cuts. The cut drops DUPLICATE
answers, which is invisible only to a sink idempotent in them, and the
`O` form and the source/sink transforms can carry Count, Sum, And,
Head/Tail and the float reductions, whose result is a function of how
many answers arrive.

Leapfrog takes the cut on its own path, chosen once per level before
any loop, so fill_lead_candidates and consume_lead keep the exact code
they had; if the single witness does not match, the level re-runs as a
full enumeration, so the cut can only drop a duplicate. The
ProductZipper descends the first complete subterm instead of
enumerating every variable, size class and arity below the position;
on a factor's trailing variable that descent also crosses the factor
boundary, force-enrolling the next factor. Every other query entry
keeps its signature and passes a zero mask.

Replayed onto main rather than rebased commit-by-commit: main has since
merged #146, which already moved the subterm walk into mork-expr (so
this uses upstream's subterm_parse_step rather than adding another),
deleted first_subterm, and rewrote Bindings and the candidate handling
underneath consume_lead. Thirteen compounding merges would have been
far more error-prone than re-applying the net change to the current
shapes.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
---
 .../corpus/programs/projection_cut.mm2        |    52 +
 .../programs/transform_decomposition.mm2      |    70 +
 .../programs/transform_process_calculus.mm2   |    45 +
 .../corpus/programs/transform_staging.mm2     |    65 +
 .../expected/programs/projection_cut.expected |    34 +
 .../programs/transform_decomposition.expected |    79 +
 .../transform_process_calculus.expected       |    23 +
 .../programs/transform_staging.expected       |    75 +
 differential/projection_cut_fuzz.py           |   374 +
 examples/transforms/README.md                 |   175 +
 examples/transforms/bench_pairs.py            |    42 +
 examples/transforms/clq_naive.mm2             |  3603 ++++
 examples/transforms/clq_staged.mm2            |  3604 ++++
 examples/transforms/craft_naive.mm2           | 11806 ++++++++++
 examples/transforms/craft_staged.mm2          | 11805 ++++++++++
 examples/transforms/cyc_naive.mm2             |   901 +
 examples/transforms/cyc_staged.mm2            |   902 +
 examples/transforms/generate.py               |    63 +
 examples/transforms/lts_delta.mm2             | 18011 ++++++++++++++++
 examples/transforms/lts_naive.mm2             | 18005 +++++++++++++++
 examples/transforms/pc2_delta.mm2             |  4010 ++++
 examples/transforms/pc2_naive.mm2             |  4006 ++++
 examples/transforms/pc3_consume.mm2           |   408 +
 examples/transforms/pc3_delta.mm2             |   408 +
 examples/transforms/pc3_naive.mm2             |   406 +
 kernel/src/leapfrog.rs                        |   148 +-
 kernel/src/space.rs                           |   322 +-
 27 files changed, 79423 insertions(+), 19 deletions(-)
 create mode 100644 differential/corpus/programs/projection_cut.mm2
 create mode 100644 differential/corpus/programs/transform_decomposition.mm2
 create mode 100644 differential/corpus/programs/transform_process_calculus.mm2
 create mode 100644 differential/corpus/programs/transform_staging.mm2
 create mode 100644 differential/expected/programs/projection_cut.expected
 create mode 100644 differential/expected/programs/transform_decomposition.expected
 create mode 100644 differential/expected/programs/transform_process_calculus.expected
 create mode 100644 differential/expected/programs/transform_staging.expected
 create mode 100755 differential/projection_cut_fuzz.py
 create mode 100644 examples/transforms/README.md
 create mode 100755 examples/transforms/bench_pairs.py
 create mode 100644 examples/transforms/clq_naive.mm2
 create mode 100644 examples/transforms/clq_staged.mm2
 create mode 100644 examples/transforms/craft_naive.mm2
 create mode 100644 examples/transforms/craft_staged.mm2
 create mode 100644 examples/transforms/cyc_naive.mm2
 create mode 100644 examples/transforms/cyc_staged.mm2
 create mode 100755 examples/transforms/generate.py
 create mode 100644 examples/transforms/lts_delta.mm2
 create mode 100644 examples/transforms/lts_naive.mm2
 create mode 100644 examples/transforms/pc2_delta.mm2
 create mode 100644 examples/transforms/pc2_naive.mm2
 create mode 100644 examples/transforms/pc3_consume.mm2
 create mode 100644 examples/transforms/pc3_delta.mm2
 create mode 100644 examples/transforms/pc3_naive.mm2

diff --git a/differential/corpus/programs/projection_cut.mm2 b/differential/corpus/programs/projection_cut.mm2
new file mode 100644
index 00000000..eb4bc1f2
--- /dev/null
+++ b/differential/corpus/programs/projection_cut.mm2
@@ -0,0 +1,52 @@
+;; @expect
+;; @steps  20
+;; @desc   Variables no template reads: the engines may answer them with one witness instead of
+;; @desc   enumerating their domain, but only where that cannot change the answer set. Each block
+;; @desc   below is a shape the projection cut must get right; the expected space pins all of them.
+
+;; --- 1. A trailing don't-care with fan-out. `$_` is mentioned once and no template reads it, so
+;; every value past the first re-derives `(out1 a)`. One row per `r`, whatever the fan-out.
+(r a)
+(r b)
+(s a p)
+(s a q)
+(s a t)
+(s b t)
+(exec 0 (, (r $x) (s $x $_)) (, (out1 $x)))
+
+;; --- 2. Schematic data. A don't-care may witness a term that itself contains variables; the
+;; answer must not depend on which witness the engine happened to reach first.
+(sv k plain)
+(sv k (f $z))
+(sv k (g $w $v))
+(exec 1 (, (sv $y $_) ) (, (out2 $y)))
+
+;; --- 3. A don't-care that is NOT trailing. `$m` decides which `(gg $m $n)` subtrie `$n` is drawn
+;; from, so pinning it would drop answers rather than duplicates: every `$n` must survive.
+(gg p 1)
+(gg p 2)
+(gg q 3)
+(exec 2 (, (gg $m $n)) (, (out3 $n)))
+
+;; --- 4. The same, one level down: the don't-care sits inside a compound, still not trailing.
+(hh (kk p 1))
+(hh (kk p 2))
+(hh (kk q 3))
+(exec 3 (, (hh (kk $mm $nn))) (, (out4 $nn)))
+
+;; --- 5. A repeated variable no template reads is a JOIN variable, not a don't-care: it still has
+;; to intersect, so `(out5 ...)` holds only the values `jl` and `jr` agree on.
+(jl 1)
+(jl 2)
+(jl 3)
+(jr 2)
+(jr 3)
+(jr 4)
+(je 2)
+(exec 4 (, (jl $p) (jr $p) (je $q)) (, (out5 $q)))
+
+;; --- 6. An O-form whose pattern carries a don't-care guard. The guard must keep gating: the
+;; counter decrements once per step while `(wanted t)` exists, and stops when it no longer does.
+(wanted t)
+(counter (S (S (Z))))
+(exec 5 (, (exec 5 $a $b) (wanted $c) (counter (S $d))) (O (+ (exec 5 $a $b)) (+ (counter $d)) (- (counter (S $d)))))
diff --git a/differential/corpus/programs/transform_decomposition.mm2 b/differential/corpus/programs/transform_decomposition.mm2
new file mode 100644
index 00000000..bcc71ea1
--- /dev/null
+++ b/differential/corpus/programs/transform_decomposition.mm2
@@ -0,0 +1,70 @@
+;; @expect
+;; @steps  40
+;; @desc   Decomposition lowerings, each computed BOTH ways so the expected space pins the
+;; @desc   staged form equal to the naive one: a 6-cycle split into two bags, a 4-clique staged
+;; @desc   through triangles, and the wiki Reachability-P2 crafting join reduced per ingredient
+;; @desc   side. A divergence in any of them changes this program's space.
+
+;; ---------------------------------------------------------------- 6-cycle, ghw 2 < rho* 3
+(e a b)
+(e b c)
+(e c d)
+(e d f)
+(e f g)
+(e g a)
+(e a c)
+(e c f)
+(e f a)
+(exec (0 0) (, (e $a $b) (e $b $c) (e $c $d) (e $d $f) (e $f $g) (e $g $a)) (, (cycN $a)))
+;; two bags of three edges; the first is materialised as its PROJECTED endpoints, which is what
+;; shares the suffix across every binding of the discarded middle variables
+(exec (1 0) (, (e $a $b) (e $b $c) (e $c $d)) (, (p3 $a $d)))
+(exec (1 1) (, (p3 $a $d) (e $d $f) (e $f $g) (e $g $a)) (, (cycS $a)))
+
+;; ---------------------------------------------------------------- 4-clique
+(edge n0 n1)
+(edge n0 n2)
+(edge n0 n3)
+(edge n1 n2)
+(edge n1 n3)
+(edge n2 n3)
+(edge n1 n4)
+(edge n2 n4)
+(exec (2 0) (, (edge $x0 $x1) (edge $x0 $x2) (edge $x0 $x3)
+                (edge $x1 $x2) (edge $x1 $x3) (edge $x2 $x3))
+            (, (c4N $x0 $x1 $x2 $x3)))
+;; staged through the triangle bag. Every variable is named by the template, so nothing is
+;; projected away and leapfrog has nothing to share -- kept as the contrast to the 6-cycle.
+(exec (3 0) (, (edge $x0 $x1) (edge $x0 $x2) (edge $x1 $x2)) (, (tri $x0 $x1 $x2)))
+(exec (3 1) (, (tri $x0 $x1 $x2) (edge $x0 $x3) (edge $x1 $x3) (edge $x2 $x3))
+            (, (c4S $x0 $x1 $x2 $x3)))
+
+;; ---------------------------------------------------------------- crafting (wiki P2 exec (1 3))
+(recipe r0 (numIngredients 2))
+(recipe r0 (result (id itemA)))
+(recipe r0 (pattern 0 sx0))
+(recipe r0 (pattern 1 sy0))
+(recipe r0 (key (sx0 wood)))
+(recipe r0 (key (sx0 stone)))
+(recipe r0 (key (sy0 coal)))
+(recipe r1 (numIngredients 2))
+(recipe r1 (result (id itemB)))
+(recipe r1 (pattern 0 sx1))
+(recipe r1 (pattern 1 sy1))
+(recipe r1 (key (sx1 gold)))
+(recipe r1 (key (sy1 missing)))
+(inventory wood)
+(inventory stone)
+(inventory coal)
+(inventory gold)
+(exec (4 0) (, (recipe $p (numIngredients 2)) (recipe $p (result (id $n)))
+                (recipe $p (pattern 0 $x)) (recipe $p (key ($x $xi)))
+                (recipe $p (pattern 1 $y)) (recipe $p (key ($y $yi)))
+                (inventory $xi) (inventory $yi))
+            (, (craftN $n)))
+;; each ingredient side is satisfiable independently given the recipe, and everything but the
+;; product name is projected away: reduce each side to a witness on $p, then combine
+(exec (5 0) (, (recipe $p (pattern 0 $x)) (recipe $p (key ($x $xi))) (inventory $xi)) (, (ok0 $p)))
+(exec (5 1) (, (recipe $p (pattern 1 $y)) (recipe $p (key ($y $yi))) (inventory $yi)) (, (ok1 $p)))
+(exec (5 2) (, (recipe $p (numIngredients 2)) (ok0 $p) (ok1 $p) (recipe $p (result (id $n))))
+            (, (craftS $n)))
diff --git a/differential/corpus/programs/transform_process_calculus.mm2 b/differential/corpus/programs/transform_process_calculus.mm2
new file mode 100644
index 00000000..9a653a79
--- /dev/null
+++ b/differential/corpus/programs/transform_process_calculus.mm2
@@ -0,0 +1,45 @@
+;; @expect
+;; @steps  60
+;; @desc   The process calculus lowered three ways over the same soup, so the expected space pins
+;; @desc   all three to the same final message: monotone naive, delta on the message side, and
+;; @desc   consuming (the reagents are retired). The naive rule never removes, so it re-derives
+;; @desc   every past communication on every round -- quadratic in the cascade length.
+
+;; a cascade: each receiver forwards to the next channel
+(pN (? c0 p0 (! c1 p1)))
+(pN (? c1 p1 (! c2 p2)))
+(pN (? c2 p2 (! c3 p3)))
+(pN (? c3 p3 (! c4 p4)))
+(pN (! c0 p0))
+(pD (? c0 p0 (! c1 p1)))
+(pD (? c1 p1 (! c2 p2)))
+(pD (? c2 p2 (! c3 p3)))
+(pD (? c3 p3 (! c4 p4)))
+(pD (! c0 p0))
+(dmsg (! c0 p0))
+(pC (? c0 p0 (! c1 p1)))
+(pC (? c1 p1 (! c2 p2)))
+(pC (? c2 p2 (! c3 p3)))
+(pC (? c3 p3 (! c4 p4)))
+(pC (! c0 p0))
+(fN (S (S (S (S (S (S Z)))))))
+(fD (S (S (S (S (S (S Z)))))))
+(fC (S (S (S (S (S (S Z)))))))
+
+;; (a) monotone: nothing retired, so round k re-derives all k-1 earlier communications
+(exec (1 Z) (, (exec (1 $l) $p $t) (fN (S $k)) (pN (? $c $pl $b)) (pN (! $c $pl)))
+            (O (+ (exec (1 (S $l)) $p $t)) (+ (pN $b)) (+ (fN $k)) (- (fN (S $k)))))
+
+;; (b) delta on the message side. Promotion is folded INTO the rule: a separate promotion exec
+;; would be starved, because this family re-adds itself and sorts first, so it would consume all
+;; the fuel before the promoter ever ran.
+(exec (2 Z) (, (exec (2 $l) $p $t) (fD (S $k)) (pD (? $c $pl $b)) (dmsg (! $c $pl)))
+            (O (+ (exec (2 (S $l)) $p $t)) (+ (pD $b)) (+ (dmsg $b))
+               (- (dmsg (! $c $pl))) (+ (fD $k)) (- (fD (S $k)))))
+
+;; (c) consuming: the reagents are retired, so no intermediate is ever kept and the
+;; re-derivation is removed at its source rather than filtered afterwards
+(exec (3 Z) (, (exec (3 $l) $p $t) (fC (S $k)) (pC (? $c $pl $b)) (pC (! $c $pl)))
+            (O (+ (exec (3 (S $l)) $p $t)) (+ (pC $b))
+               (- (pC (? $c $pl $b))) (- (pC (! $c $pl)))
+               (+ (fC $k)) (- (fC (S $k)))))
diff --git a/differential/corpus/programs/transform_staging.mm2 b/differential/corpus/programs/transform_staging.mm2
new file mode 100644
index 00000000..d56468d7
--- /dev/null
+++ b/differential/corpus/programs/transform_staging.mm2
@@ -0,0 +1,65 @@
+;; @expect
+;; @steps  60
+;; @desc   The two source-level transforms, each computed BOTH ways in one program so the
+;; @desc   expected space pins them equal: a chain query naively and Yannakakis-staged, and a
+;; @desc   transitive closure naively and semi-naively. If a staging ever stops agreeing with the
+;; @desc   form it replaces, this program's space changes.
+
+;; ---------------------------------------------------------------- the chain query R-S-T
+(R a p)
+(R b p)
+(R c q)
+(R d r)
+(S p u)
+(S p v)
+(S q u)
+(S r dead)
+(T u m)
+(T v n)
+
+;; naive: one join over all three relations
+(exec (0 0) (, (R $x $y) (S $y $z) (T $z $w)) (, (outN $x $w)))
+
+;; Yannakakis-staged: project, semi-join bottom-up, semi-join top-down, then join the reduced
+;; relations. Every projection is `(, (Rel $key $_))` -- the shape the projection cut answers
+;; with one witness per key -- which is why the reduced relations are emitted KEY-FIRST: a
+;; projection off a key-last relation would be `(, (Rel $_ $key))`, where the don't-care is not
+;; trailing and must keep enumerating.
+(exec (1 0) (, (T $z $_))            (, (Tz $z)))
+(exec (1 1) (, (S $y $z) (Tz $z))    (, (S1 $y $z)))
+(exec (1 2) (, (S1 $y $_))           (, (S1y $y)))
+(exec (1 3) (, (R $x $y) (S1y $y))   (, (R1 $y $x)))
+(exec (1 4) (, (R1 $y $_))           (, (R1y $y)))
+(exec (1 5) (, (S1 $y $z) (R1y $y))  (, (S2 $z $y)))
+(exec (1 6) (, (S2 $z $_))           (, (S2z $z)))
+(exec (1 7) (, (T $z $w) (S2z $z))   (, (T1 $z $w)))
+(exec (1 8) (, (R1 $y $x) (S2 $z $y) (T1 $z $w)) (, (outS $x $w)))
+
+;; ---------------------------------------------------------------- transitive closure
+(edge g0 g1)
+(edge g1 g2)
+(edge g2 g3)
+(edge g3 g4)
+
+;; NOTE on loc ordering: execs run in byte order of the whole atom, and a SYMBOL loc sorts
+;; above a COMPOUND one -- `(exec (2 0) ..)` would run AFTER `(exec (2 (1 Z)) ..)`, so the seed
+;; would fire after the loop and the loop would see an empty relation. Every loc here is the
+;; same shape so the intended order is the numeric one.
+;;
+;; Both loops carry Peano fuel. A self-reproducing exec has no termination condition of its own,
+;; so an unbounded one would monopolise every remaining step and the family after it would never
+;; run at all.
+(fuelN (S (S (S (S (S Z))))))
+(fuelD (S (S (S (S (S Z))))))
+
+;; naive: every iteration re-joins the WHOLE path relation with edge
+(exec (2 (0 0)) (, (edge $x $y)) (, (pathN $x $y)))
+(exec (2 (1 Z)) (, (exec (2 (1 $l)) $p $t) (fuelN (S $k)) (pathN $x $y) (edge $y $z))
+                (O (+ (exec (2 (1 (S $l))) $p $t)) (+ (pathN $x $z))
+                   (+ (fuelN $k)) (- (fuelN (S $k)))))
+
+;; semi-naive: every iteration joins only the frontier the previous one produced
+(exec (3 (0 0)) (, (edge $x $y)) (, (front Z $x $y) (pathD $x $y)))
+(exec (3 (1 Z)) (, (exec (3 (1 $l)) $p $t) (fuelD (S $k)) (front $l $x $y) (edge $y $z))
+                (O (+ (exec (3 (1 (S $l))) $p $t)) (+ (front (S $l) $x $z)) (+ (pathD $x $z))
+                   (+ (fuelD $k)) (- (fuelD (S $k)))))
diff --git a/differential/expected/programs/projection_cut.expected b/differential/expected/programs/projection_cut.expected
new file mode 100644
index 00000000..cc336bae
--- /dev/null
+++ b/differential/expected/programs/projection_cut.expected
@@ -0,0 +1,34 @@
+(r a)
+(r b)
+(hh (kk p 1))
+(hh (kk p 2))
+(hh (kk q 3))
+(je 2)
+(jl 1)
+(jl 2)
+(jl 3)
+(jr 2)
+(jr 3)
+(jr 4)
+(out1 a)
+(out1 b)
+(out2 k)
+(out3 1)
+(out3 2)
+(out3 3)
+(out4 1)
+(out4 2)
+(out4 3)
+(out5 2)
+(wanted t)
+(counter (Z))
+(s a p)
+(s a q)
+(s a t)
+(s b t)
+(gg p 1)
+(gg p 2)
+(gg q 3)
+(sv k (f $a))
+(sv k (g $a $b))
+(sv k plain)
diff --git a/differential/expected/programs/transform_decomposition.expected b/differential/expected/programs/transform_decomposition.expected
new file mode 100644
index 00000000..8cc7915d
--- /dev/null
+++ b/differential/expected/programs/transform_decomposition.expected
@@ -0,0 +1,79 @@
+(ok0 r0)
+(ok0 r1)
+(ok1 r0)
+(cycN a)
+(cycN b)
+(cycN c)
+(cycN d)
+(cycN f)
+(cycN g)
+(cycS a)
+(cycS b)
+(cycS c)
+(cycS d)
+(cycS f)
+(cycS g)
+(craftN itemA)
+(craftS itemA)
+(inventory coal)
+(inventory gold)
+(inventory wood)
+(inventory stone)
+(e a b)
+(e a c)
+(e b c)
+(e c d)
+(e c f)
+(e d f)
+(e f a)
+(e f g)
+(e g a)
+(p3 a a)
+(p3 a d)
+(p3 a f)
+(p3 a g)
+(p3 b a)
+(p3 b f)
+(p3 b g)
+(p3 c a)
+(p3 c b)
+(p3 c c)
+(p3 c g)
+(p3 d a)
+(p3 d b)
+(p3 d c)
+(p3 f b)
+(p3 f c)
+(p3 f d)
+(p3 f f)
+(p3 g c)
+(p3 g d)
+(p3 g f)
+(edge n0 n1)
+(edge n0 n2)
+(edge n0 n3)
+(edge n1 n2)
+(edge n1 n3)
+(edge n1 n4)
+(edge n2 n3)
+(edge n2 n4)
+(recipe r0 (key (sx0 wood)))
+(recipe r0 (key (sx0 stone)))
+(recipe r0 (key (sy0 coal)))
+(recipe r0 (result (id itemA)))
+(recipe r0 (numIngredients 2))
+(recipe r0 (pattern 0 sx0))
+(recipe r0 (pattern 1 sy0))
+(recipe r1 (key (sx1 gold)))
+(recipe r1 (key (sy1 missing)))
+(recipe r1 (result (id itemB)))
+(recipe r1 (numIngredients 2))
+(recipe r1 (pattern 0 sx1))
+(recipe r1 (pattern 1 sy1))
+(tri n0 n1 n2)
+(tri n0 n1 n3)
+(tri n0 n2 n3)
+(tri n1 n2 n3)
+(tri n1 n2 n4)
+(c4N n0 n1 n2 n3)
+(c4S n0 n1 n2 n3)
diff --git a/differential/expected/programs/transform_process_calculus.expected b/differential/expected/programs/transform_process_calculus.expected
new file mode 100644
index 00000000..0b8f690c
--- /dev/null
+++ b/differential/expected/programs/transform_process_calculus.expected
@@ -0,0 +1,23 @@
+(fC (S (S Z)))
+(fD (S (S Z)))
+(fN Z)
+(pC (! c4 p4))
+(pD (! c0 p0))
+(pD (! c1 p1))
+(pD (! c2 p2))
+(pD (! c3 p3))
+(pD (! c4 p4))
+(pD (? c0 p0 (! c1 p1)))
+(pD (? c1 p1 (! c2 p2)))
+(pD (? c2 p2 (! c3 p3)))
+(pD (? c3 p3 (! c4 p4)))
+(pN (! c0 p0))
+(pN (! c1 p1))
+(pN (! c2 p2))
+(pN (! c3 p3))
+(pN (! c4 p4))
+(pN (? c0 p0 (! c1 p1)))
+(pN (? c1 p1 (! c2 p2)))
+(pN (? c2 p2 (! c3 p3)))
+(pN (? c3 p3 (! c4 p4)))
+(dmsg (! c4 p4))
diff --git a/differential/expected/programs/transform_staging.expected b/differential/expected/programs/transform_staging.expected
new file mode 100644
index 00000000..856e1ffd
--- /dev/null
+++ b/differential/expected/programs/transform_staging.expected
@@ -0,0 +1,75 @@
+(Tz u)
+(Tz v)
+(R1y p)
+(R1y q)
+(S1y p)
+(S1y q)
+(S2z u)
+(S2z v)
+(fuelD (S (S Z)))
+(fuelN Z)
+(R a p)
+(R b p)
+(R c q)
+(R d r)
+(S p u)
+(S p v)
+(S q u)
+(S r dead)
+(T u m)
+(T v n)
+(R1 p a)
+(R1 p b)
+(R1 q c)
+(S1 p u)
+(S1 p v)
+(S1 q u)
+(S2 u p)
+(S2 u q)
+(S2 v p)
+(T1 u m)
+(T1 v n)
+(edge g0 g1)
+(edge g1 g2)
+(edge g2 g3)
+(edge g3 g4)
+(outN a m)
+(outN a n)
+(outN b m)
+(outN b n)
+(outN c m)
+(outS a m)
+(outS a n)
+(outS b m)
+(outS b n)
+(outS c m)
+(pathD g0 g1)
+(pathD g0 g2)
+(pathD g0 g3)
+(pathD g0 g4)
+(pathD g1 g2)
+(pathD g1 g3)
+(pathD g1 g4)
+(pathD g2 g3)
+(pathD g2 g4)
+(pathD g3 g4)
+(pathN g0 g1)
+(pathN g0 g2)
+(pathN g0 g3)
+(pathN g0 g4)
+(pathN g1 g2)
+(pathN g1 g3)
+(pathN g1 g4)
+(pathN g2 g3)
+(pathN g2 g4)
+(pathN g3 g4)
+(front (S (S (S Z))) g0 g4)
+(front (S (S Z)) g0 g3)
+(front (S (S Z)) g1 g4)
+(front (S Z) g0 g2)
+(front (S Z) g1 g3)
+(front (S Z) g2 g4)
+(front Z g0 g1)
+(front Z g1 g2)
+(front Z g2 g3)
+(front Z g3 g4)
diff --git a/differential/projection_cut_fuzz.py b/differential/projection_cut_fuzz.py
new file mode 100755
index 00000000..1aed84ba
--- /dev/null
+++ b/differential/projection_cut_fuzz.py
@@ -0,0 +1,374 @@
+#!/usr/bin/env python3
+"""Random-query validator for the projection cut.
+
+Generates random conjunctive bodies, works out INDEPENDENTLY -- from the rule as stated, over the
+generated syntax tree, never from the engine's mask -- which variables the cut may answer with a
+single witness, predicts how much enumeration that removes, then runs the query on a stock build
+and on a `projection_cut` build and checks three things:
+
+  * the two builds agree on the answer space byte for byte,
+  * the answers equal a join computed here in Python, from the generated facts, and
+  * where a speed-up was predicted, a speed-up actually happened.
+
+The rule, restated so this file is a second opinion rather than an echo: a body variable may be
+answered with one witness iff (a) the body mentions it exactly once, (b) no template reads it, and
+(c) everything after it inside its own conjunct also satisfies (a) and (b) -- it lies in the
+conjunct's trailing run. Anything earlier in a conjunct decides which subtrie the later columns
+are drawn from, so pinning it would drop answers rather than duplicates.
+
+Three families:
+
+  direct     relations of ground tuples, including the named shape
+             `(, (R $x $_1 $y $_2 $_3) (Q $x $y))` -- `$_2 $_3` are cuttable, `$_1` is not,
+             because `$y` follows it.
+  schematic  the same shapes, but every don't-care value is a fuzzed QUERY EXPRESSION carrying
+             variables of its own, so the cut binds schematic terms rather than symbols.
+  meta       the space holds fuzzed queries as data -- `(f (R $x $_1 $y $_2 $_3))`,
+             `(g (Q $x $y))`, `(data ...)` -- and the body queries over them in the
+             `(, (f $f ...) (g $g ...) (data $f) (data $g))` shape.
+
+Usage:  projection_cut_fuzz.py --base BIN --cut BIN [--cases N] [--seed S]
+"""
+
+import argparse, itertools, os, random, re, subprocess, sys, tempfile
+
+TOOK = re.compile(r"took (\d+) ms")
+
+
+# ---------------------------------------------------------------------------- queries
+
+class Factor:
+    def __init__(self, rel, cols):
+        self.rel, self.cols = rel, cols
+
+    def text(self):
+        return "(%s %s)" % (self.rel, " ".join("$" + c for c in self.cols))
+
+
+class Query:
+    def __init__(self, factors, reads, family):
+        self.factors, self.reads, self.family = factors, reads, family
+
+    def body(self):
+        return "(, %s)" % " ".join(f.text() for f in self.factors)
+
+    def exec_atom(self):
+        return "(exec 0 %s (, (out %s)))" % (self.body(), " ".join("$" + v for v in self.reads))
+
+    def occurrences(self):
+        occ = {}
+        for f in self.factors:
+            for c in f.cols:
+                occ[c] = occ.get(c, 0) + 1
+        return occ
+
+    def cuttable(self):
+        """The rule applied to the syntax tree -- independent of the engine's byte-level mask."""
+        occ = self.occurrences()
+        solo = lambda v: occ[v] == 1 and v not in self.reads
+        cut = set()
+        for f in self.factors:
+            for c in reversed(f.cols):      # the conjunct's trailing run, and no further
+                if not solo(c):
+                    break
+                cut.add(c)
+        return cut
+
+
+def named_shape():
+    """The shape called out by name: jump the last two columns of R, but never `$_1`."""
+    return Query([Factor("R", ["x0", "d0", "x1", "d1", "d2"]), Factor("Q", ["x0", "x1"])],
+                 ["x0", "x1"], "direct")
+
+
+def gen_query(rng, family):
+    if family == "meta":
+        # `(, (f $f ...) (g $g ...) (data $f) (data $g))` -- the join variables bind whole
+        # query expressions; the don't-care tails are what the cut may answer.
+        fac = [Factor("f", ["f"] + ["d%d" % i for i in range(rng.choice([1, 1, 2]))])]
+        nd = len(fac[0].cols) - 1
+        fac.append(Factor("g", ["g"] + ["d%d" % (nd + i) for i in range(rng.choice([0, 1, 2]))]))
+        fac.append(Factor("data", ["f"]))
+        fac.append(Factor("data", ["g"]))
+        return Query(fac, ["f", "g"], "meta")
+
+    nkeys = rng.choice([1, 1, 2])
+    keys = ["x%d" % i for i in range(nkeys)]
+    factors, dc = [], 0
+    for fi in range(rng.choice([1, 2, 2, 3])):
+        cols = list(keys) if fi == 0 else [rng.choice(keys)]
+        if rng.random() < 0.4 and nkeys > 1:        # a don't-care BEFORE a key: never cuttable
+            cols = [cols[0], "d%d" % dc] + cols[1:]
+            dc += 1
+        for _ in range(rng.choice([1, 1, 2, 2, 3])):
+            cols.append("d%d" % dc)
+            dc += 1
+        factors.append(Factor("R%d" % fi, cols))
+    return Query(factors, keys, family)
+
+
+# ---------------------------------------------------------------------------- data
+
+def query_expr(j):
+    """A fuzzed query expression, used as a stored VALUE. Carries its own variables.
+
+    Every index yields a DISTINCT expression -- the shape rotates but the relation names carry
+    `j`. Duplicates would silently collapse in the trie, making the relation smaller than the
+    generator believes and the predicted ratio a fiction.
+    """
+    shapes = [
+        "(, (R%d $x $a $y $b $c) (Q%d $x $y))" % (j, j),
+        "(, (f%d $p) (g%d $q) (data $p) (data $q))" % (j, j),
+        "(P%d (= $l $r) $t%d)" % (j, j),
+        "(, (S%d $u $v) (T%d $v $w $z))" % (j, j),
+    ]
+    return shapes[j % len(shapes)]
+
+
+def gen_data(rng, q, nkey, fan):
+    """Facts for every factor. Returns (facts, per-relation sizes, per-variable domains)."""
+    keyvals = ["k%d" % i for i in range(nkey)]
+    if q.family == "meta":
+        keyvals = [query_expr(i) for i in range(nkey)]
+    dcvals = [("w%d" % j) if q.family == "direct" else query_expr(j) for j in range(fan)]
+
+    assert len(set(keyvals)) == len(keyvals), "key values must be distinct"
+    assert len(set(dcvals)) == len(dcvals), "don't-care values must be distinct"
+    facts, sizes, domains = [], {}, {}
+    for f in q.factors:
+        rows = []
+        doms = [keyvals if not c.startswith("d") else dcvals for c in f.cols]
+        # A full cross product would make a don't-care that PRECEDES a key independent of that
+        # key: pinning it would still leave every suffix value reachable, so an engine that
+        # wrongly cut a non-trailing variable would produce the right answers anyway and the
+        # fuzzer would never notice. Correlate them instead -- each value of a leading
+        # don't-care admits only a SLICE of the keys that follow it, so pinning it drops
+        # answers and the check fails.
+        lead_dc = [k for k, c in enumerate(f.cols)
+                   if c.startswith("d") and any(not c2.startswith("d") for c2 in f.cols[k + 1:])]
+        for combo in itertools.product(*doms):
+            if lead_dc:
+                drop = False
+                for k in lead_dc:
+                    slot = dcvals.index(combo[k])
+                    for k2 in range(k + 1, len(f.cols)):
+                        if not f.cols[k2].startswith("d"):
+                            # keep only the keys congruent to this don't-care's slot
+                            if keyvals.index(combo[k2]) % len(dcvals) != slot % len(dcvals):
+                                drop = True
+                if drop:
+                    continue
+            rows.append("(%s %s)" % (f.rel, " ".join(combo)))
+        facts.extend(rows)
+        key = f.rel + "/" + str(len(f.cols))
+        sizes[key] = (sizes.get(key, (0, 0, 0))[0] + len(rows),
+                      sum(1 for c in f.cols if not c.startswith("d")),
+                      sum(1 for c in f.cols if c.startswith("d")))
+        for c in f.cols:
+            domains[c] = keyvals if not c.startswith("d") else dcvals
+    return facts, sizes, domains, keyvals, dcvals
+
+
+def predicted_ratio(q, fan):
+    """Enumerated tuples over cut tuples: every don't-care contributes its fan-out unless cut."""
+    cut = q.cuttable()
+    base = after = 1
+    for f in q.factors:
+        for c in f.cols:
+            if c.startswith("d"):
+                base *= fan
+                after *= 1 if c in cut else fan
+    return base, after
+
+
+def python_join(q, domains):
+    """The answer set, computed here: project each factor onto the variables that outlive it
+    (read, or shared with another factor), dedup, then join. Sound because every projected-away
+    variable is a singleton, hence purely existential."""
+    occ = q.occurrences()
+    keep = lambda v: v in q.reads or occ[v] > 1
+    rel = None
+    for f in q.factors:
+        cols = [c for c in f.cols if keep(c)]
+        doms = [domains[c] for c in cols]
+        tuples = {tuple(t) for t in itertools.product(*doms)} if cols else {()}
+        if rel is None:
+            rel, relcols = tuples, cols
+            continue
+        shared = [c for c in cols if c in relcols]
+        li = [relcols.index(c) for c in shared]
+        ri = [cols.index(c) for c in shared]
+        newcols = relcols + [c for c in cols if c not in relcols]
+        add = [cols.index(c) for c in cols if c not in relcols]
+        out = set()
+        for a in rel:
+            for b in tuples:
+                if all(a[x] == b[y] for x, y in zip(li, ri)):
+                    out.add(a + tuple(b[i] for i in add))
+        rel, relcols = out, newcols
+    idx = [relcols.index(v) for v in q.reads]
+    return {tuple(t[i] for i in idx) for t in rel}
+
+
+# ---------------------------------------------------------------------------- running
+
+def run(binary, prog, out, reps, timeout):
+    """Best-of-`reps` query time and the resulting space, or (None, None) if it does not finish.
+
+    A timeout is data, not an error: the two engines differ by orders of magnitude on some of
+    these shapes, so the sizing ladder needs to be told when it has gone too far rather than
+    having the run die.
+    """
+    best, dump = None, None
+    for _ in range(reps):
+        try:
+            r = subprocess.run([binary, "run", prog, "--steps", "2", out],
+                               capture_output=True, timeout=timeout)
+        except subprocess.TimeoutExpired:
+            return None, None
+        m = TOOK.search(r.stdout.decode("utf-8", "replace"))
+        ms = int(m.group(1)) if m else -1
+        best = ms if best is None else min(best, ms)
+        with open(out, "rb") as fh:
+            dump = fh.read()
+    return best, dump
+
+
+def parse_answers(dump):
+    out = set()
+    for line in dump.decode("utf-8", "replace").split("\n"):
+        if line.startswith("(out "):
+            out.add(line[5:-1].strip())
+    return out
+
+
+def main():
+    ap = argparse.ArgumentParser()
+    ap.add_argument("--base", required=True)
+    ap.add_argument("--cut", required=True)
+    ap.add_argument("--cases", type=int, default=26)
+    ap.add_argument("--seed", type=int, default=1)
+    ap.add_argument("--reps", type=int, default=2)
+    ap.add_argument("--min-base-ms", type=int, default=20)
+    ap.add_argument("--max-facts", type=int, default=250000)
+    ap.add_argument("--keep", default=None)
+    ap.add_argument("--family", default=None, help="force one family")
+    ap.add_argument("--base-timeout", type=int, default=300, help="seconds before a size is too big")
+    ap.add_argument("--label", default="", help="engine label for the report header")
+    args = ap.parse_args()
+
+    rng = random.Random(args.seed)
+    tmp = args.keep or tempfile.mkdtemp(prefix="pcfuzz-")
+    os.makedirs(tmp, exist_ok=True)
+    families = ["direct", "schematic", "meta"]
+    accepted, attempts = [], 0
+
+    while len(accepted) < args.cases and attempts < args.cases * 60:
+        attempts += 1
+        if args.family:
+            q = gen_query(rng, args.family)
+        else:
+            q = named_shape() if not accepted else gen_query(rng, families[attempts % 3])
+        cut = q.cuttable()
+        if not cut:
+            continue                                   # report only where a jump is predicted
+
+        # Grow the data until the ENUMERATION is long enough to time honestly, measuring it at
+        # each step rather than predicting its cost: the two engines differ by orders of
+        # magnitude on the schematic and meta shapes, so a tuple-count model that sizes the
+        # leapfrog join sensibly can hand the ProductZipper a query it will not finish.
+        prog = os.path.join(tmp, "case%02d.mm2" % len(accepted))
+        chosen = None
+        for nkey, fan in [(4, 6), (6, 8), (8, 10), (10, 12), (12, 14), (14, 16), (16, 20), (20, 24)]:
+            facts, sizes, domains, keyvals, dcvals = gen_data(rng, q, nkey, fan)
+            if len(facts) > args.max_facts:
+                break
+            base_t, after_t = predicted_ratio(q, fan)
+            if base_t <= after_t:
+                break
+            with open(prog, "w") as fh:
+                fh.write("\n".join(facts) + "\n" + q.exec_atom() + "\n")
+            b_ms, b_dump = run(args.base, prog, prog + ".base.space", 1, args.base_timeout)
+            if b_ms is None:
+                break                                  # too big for this engine: keep the last
+            chosen = (facts, sizes, domains, nkey, fan, base_t, after_t, b_ms, b_dump)
+            if b_ms >= args.min_base_ms:
+                break
+        if chosen is None:
+            continue
+        facts, sizes, domains, nkey, fan, base_t, after_t, b_ms, b_dump = chosen
+        if b_ms < args.min_base_ms:
+            continue                                   # too fast to attribute a ratio to
+        # rewrite the chosen size, since the ladder may have moved past it
+        with open(prog, "w") as fh:
+            fh.write("\n".join(facts) + "\n" + q.exec_atom() + "\n")
+        if b_ms < 2000:
+            b_ms, b_dump = run(args.base, prog, prog + ".base.space", args.reps, args.base_timeout)
+        c_ms, c_dump = run(args.cut, prog, prog + ".cut.space", args.reps, args.base_timeout)
+        if c_ms is None:
+            c_ms = args.base_timeout * 1000
+
+        identical = (b_dump == c_dump)
+        # The independent join models an EQUALITY join, which is what the engine performs only
+        # when the joined values are ground. In the meta family the read variables bind whole
+        # query expressions, so the engine joins them by UNIFICATION and renames their variables
+        # on output; modelling that here would mean reimplementing the unifier. Those cases are
+        # held to stock-vs-cut byte-identity instead -- the stock engine IS the reference -- plus
+        # a non-empty answer space, so a silently empty result cannot pass.
+        modelled = any(not v.startswith("(") for v in [domains[r][0] for r in q.reads])
+        if modelled:
+            want = {" ".join(t) for t in python_join(q, domains)}
+            answers_ok = (parse_answers(b_dump) == want and parse_answers(c_dump) == want)
+            nans = len(want)
+        else:
+            nans = len(parse_answers(b_dump))
+            answers_ok = nans > 0
+        speedup = b_ms / max(c_ms, 0.5)
+        accepted.append(dict(q=q, sizes=sizes, nkey=nkey, fan=fan, facts=len(facts),
+                             pred=base_t / after_t, b_ms=b_ms, c_ms=c_ms, speedup=speedup,
+                             identical=identical, answers_ok=answers_ok, modelled=modelled,
+                             cut=sorted(cut), nans=nans))
+
+    ok = lambda c: c["identical"] and c["answers_ok"] and c["speedup"] >= 1.5
+    print("%sseed=%d  cases=%d  attempts=%d  programs in %s\n" % (("engine=%s  " % args.label) if args.label else "", args.seed, len(accepted), attempts, tmp))
+    hdr = "%-3s %-9s %-44s %8s %10s %8s %7s %9s %s" % (
+        "#", "family", "body", "facts", "predicted", "base ms", "cut ms", "speedup", "ok")
+    print(hdr); print("-" * len(hdr))
+    for i, c in enumerate(accepted):
+        b = c["q"].body()
+        b = b if len(b) <= 44 else b[:41] + "..."
+        print("%-3d %-9s %-44s %8d %9.0fx %8d %7d %8.1fx %s" %
+              (i, c["q"].family, b, c["facts"], c["pred"], c["b_ms"], c["c_ms"], c["speedup"],
+               "yes" if ok(c) else "NO"))
+    print("\nrelation sizes and the variables the cut answered with one witness:")
+    for i, c in enumerate(accepted):
+        rels = ", ".join("%s:%d facts(%d key,%d dc)" % (r.split("/")[0], v[0], v[1], v[2])
+                         for r, v in sorted(c["sizes"].items()))
+        print("  %-3d keyvals=%-3d fanout=%-3d answers=%-5d cut=%-16s %s" %
+              (i, c["nkey"], c["fan"], c["nans"], ",".join("$" + v for v in c["cut"]), rels))
+    short = len(accepted) < args.cases
+    if short:
+        print("\nSHORT RUN: asked for %d cases, accepted %d. A run that cannot build its cases "
+              "proves nothing, so this is a failure, not a pass." % (args.cases, len(accepted)))
+    bad = [c for c in accepted if not ok(c)]
+    print("\n%d/%d met the prediction | byte-identical: %d/%d | answer set correct: %d/%d" %
+          (len(accepted) - len(bad), len(accepted),
+           sum(1 for c in accepted if c["identical"]), len(accepted),
+           sum(1 for c in accepted if c["answers_ok"]), len(accepted)))
+    nm = [c for c in accepted if not c["modelled"]]
+    if nm:
+        print("(%d meta cases are checked by stock-vs-cut byte-identity and a non-empty answer "
+              "space, not by the equality-join model -- see the note in the source)" % len(nm))
+    if accepted:
+        sp = sorted(c["speedup"] for c in accepted)
+        print("speed-up: min %.1fx  median %.1fx  max %.1fx" % (sp[0], sp[len(sp) // 2], sp[-1]))
+    if bad:
+        print("\nFAILED:")
+        for c in bad:
+            print("  %s\n    identical=%s answers_ok=%s speedup=%.2fx predicted=%.0fx" %
+                  (c["q"].body(), c["identical"], c["answers_ok"], c["speedup"], c["pred"]))
+    return 1 if (bad or short) else 0
+
+
+if __name__ == "__main__":
+    sys.exit(main())
diff --git a/examples/transforms/README.md b/examples/transforms/README.md
new file mode 100644
index 00000000..7e303bf6
--- /dev/null
+++ b/examples/transforms/README.md
@@ -0,0 +1,175 @@
+# Semi-join and incrementalization, as source-level MM2 transforms
+
+Both are rewrites of a program into more programs. Neither needs a change to the join. What the
+projection cut adds is that the *projections* a semi-join reduction is built out of stop costing
+a full pass over the relation.
+
+`generate.py OUTDIR` writes the six measured programs; every measurement below is the query-only
+time the CLI reports (`took N ms`), best of three, on the same machine.
+
+## 1. The projection is the shape the cut answers
+
+A semi-join `A ⋉ B` on variable `v` needs `π_v(B)` — in MM2, `(exec _ (, (B $v $_)) (, (Bv $v)))`.
+`$_` is mentioned once, no template reads it, and it is the conjunct's last column, so the cut
+answers it with one witness per key instead of enumerating every tuple.
+
+| program | leapfrog | ProductZipper |
+|---|---|---|
+| `proj_keyfirst.mm2` — `(, (S $y $_))` | **0 ms** | **0 ms** |
+| `proj_keylast.mm2` — `(, (S $_ $z))` | 22 ms | 26 ms |
+
+80000 tuples over 600 distinct keys. **This is the design rule the transform must follow: emit
+reduced relations KEY-FIRST.** With the key last the don't-care is not trailing, the cut correctly
+refuses it (pinning `$_` would decide which subtrie `$z` comes from), and the projection pays a
+full pass.
+
+## 2. Yannakakis staging
+
+`chain_naive.mm2` joins `(, (R $x $y) (S $y $z) (T $z $w))` directly. `chain_staged.mm2` projects,
+semi-joins bottom-up, semi-joins top-down, then joins the reduced relations — nine execs ordered
+by `loc`.
+
+| | leapfrog | ProductZipper |
+|---|---|---|
+| naive chain join | 166 ms | 811 ms |
+| Yannakakis staged | 154 ms | **276 ms** |
+
+**2.9× on the ProductZipper, ~1.07× on leapfrog.** On an *acyclic* body leapfrog intersects every
+participating factor at each variable, so it is already doing the reduction's work and little is
+left to remove. That is a property of acyclic bodies only -- see §5, where the same decomposition
+is worth 25x to leapfrog on a cyclic one.
+
+## 3. Incrementalization
+
+`tc_naive.mm2` re-joins the whole `path` relation with `edge` on every iteration.
+`tc_delta.mm2` joins only the frontier the previous iteration produced — the wiki's own
+generation-labelled idiom, which is semi-naive evaluation written by hand.
+
+| chain of 220 nodes, closure = 24090 pairs | leapfrog | ProductZipper |
+|---|---|---|
+| naive fixpoint | 19565 ms | 24381 ms |
+| semi-naive | **150 ms** | **208 ms** |
+| | **130×** | **117×** |
+
+Identical closures on both engines. This one needs no engine support at all: per-iteration work
+falls from `O(|path|)` to `O(|Δ|)`, and the two are quadratically apart on a chain.
+
+## 4. Composing them
+
+The two compose and stay correct, but an *inline* semi-join conjunct buys nothing:
+
+| 120 chain nodes × 12 dead-end leaves each | leapfrog | ProductZipper |
+|---|---|---|
+| semi-naive | 348 ms | 504 ms |
+| semi-naive + inline `(esrc $y)` guard | 350 ms | 519 ms |
+
+Both engines already intersect at the shared variable, so the extra conjunct re-derives a
+restriction they were performing anyway and costs a third factor to intersect. A reduction only
+pays when it is **materialised into an earlier stage**, removing tuples before a later and more
+expensive one — which is what §2 does and what §4 does not.
+
+## Two MM2 gotchas these programs ran into
+
+**Loc ordering.** Execs run in byte order of the whole atom, and a *symbol* loc sorts above a
+*compound* one: `(exec (2 0) ..)` runs AFTER `(exec (2 (1 Z)) ..)`. Mixing the two shapes inverts
+the intended staging — a seed written `(exec (2 0) ..)` fires after the loop that consumes it, so
+the loop sees an empty relation and dies silently.
+
+**Self-reproducing execs never stop.** A rule that re-adds itself has no termination condition of
+its own, so it monopolises every remaining step and any family ordered after it never runs. Bound
+it with Peano fuel consumed through an `O`-form `(+ (fuel $k)) (- (fuel (S $k)))`, as the
+Reachability-P2 tutorial does.
+
+`differential/corpus/programs/transform_staging.mm2` carries both transforms at a size the
+differential runs on every build, computing each one BOTH ways in a single program so its expected
+space pins the staged form equal to the form it replaces.
+
+## 5. Decomposition on a CYCLIC body — where leapfrog does gain
+
+`cyc_naive.mm2` asks for 6-cycles directly. `cyc_staged.mm2` splits the cycle into two bags of
+three edges — a generalized hypertree decomposition of width 2, against the query's fractional
+edge cover number of 3 — materialising the first bag as its projected endpoints.
+
+| 900 edges, 70 nodes | leapfrog | ProductZipper |
+|---|---|---|
+| naive 6-cycle join | 5951 ms | 11419 ms |
+| two bags, endpoints materialised | **237 ms** | **425 ms** |
+| | **25×** | **27×** |
+
+Identical answers. The mechanism is visible in the data: the graph holds 149611 three-paths but
+only 4900 distinct endpoint pairs, a 30.5x sharing factor, of which the staging realises 25x. A
+worst-case-optimal join re-derives the entire suffix for **every** binding of the variables the
+decomposition projects away; materialising the bag pays for the suffix once per distinct endpoint
+pair. So the earlier claim that leapfrog is already doing Yannakakis' work holds for acyclic
+bodies and does not generalise: on cyclic ones the decomposition is a large win for leapfrog too.
+
+## 6. Incrementalizing the process calculus
+
+The benchmark's communication rule is a self-join on the soup keyed by channel:
+`(, (petri (? $c $pl $b)) (petri (! $c $pl))) -> (petri $b)`. It is MONOTONE -- nothing is
+removed -- so every past communication is re-derived on every activation, and the cost of a
+cascade of length N is quadratic in N.
+
+`pc3_delta.mm2` joins only the messages the previous round produced, with promotion folded into
+the rule itself (a separate promotion exec would be starved: this family re-adds itself and sorts
+first, so it consumes all the fuel before the promoter ever runs).
+
+`pc3_consume.mm2` instead retires the reagents -- `(- (petri (? ...))) (- (petri (! ...)))` --
+which is the faithful reading of a communication and removes the re-derivation at its source
+rather than filtering it afterwards.
+
+| chain length | naive | delta | | consuming | |
+|---|---|---|---|---|---|
+| 200 | 250 ms | 37 ms | 6.8× | 27 ms | 9.3× |
+| 400 | 1391 ms | 129 ms | 10.8× | 87 ms | 16.0× |
+| 800 | 9452 ms | 479 ms | 19.7× | 313 ms | 30.2× |
+
+All three derive the final message. The ratio roughly doubles as the chain doubles, which is the
+signature of removing a quadratic: the uplift is not a constant and has no ceiling.
+
+Consuming beats the delta at every size and leaves a soup of ONE atom against 801, because the
+delta still keeps every intermediate and merely avoids re-joining it, while consuming never keeps
+one. Where the intermediates are not wanted, that is the transform to reach for.
+
+An earlier version of this section reported ~1.1x. That measurement ran 30 rounds of fuel over a
+4000-receiver chain -- under one percent of the cascade -- so the quadratic never developed and
+the number was an artifact of the harness, not a property of the transform. The shipped
+`process_calculus_bench` rule is monotone in exactly this way, so it is paying the same quadratic.
+
+## 7. Sweep over main.rs and the wiki
+
+Every MM2 program in `kernel/src/main.rs`, `kernel/resources/` and the wiki was inventoried for
+the two transforms. Applicability turns on three properties of a rule body: whether it is
+ITERATIVE (a self-reproducing exec, so incrementalization applies), whether it is CYCLIC and
+PROJECTS variables away (so a decomposition can share the suffix), and whether the relation being
+ENUMERATED is the one that grows.
+
+`bench_pairs.py DIR STEPS PREFIXES` measures every `X_naive.mm2` against its `X_<variant>.mm2`
+in DIR on both engines and checks the answer spaces agree.
+
+| example | taken from | transform | leapfrog | ProductZipper |
+|---|---|---|---|---|
+| `tc` | Reachability P1/P3 shape | incrementalization | **130×** | **117×** |
+| `cyc` | cyclic body, ghw 2 < ρ* 3 | GHD decomposition | **25.4×** | **27.1×** |
+| `craft` | wiki Reachability-P2 `exec (1 3)` | semi-join reduction | **8.5×** | **15.6×** |
+| `chain` | acyclic 3-relation join | Yannakakis staging | 1.07× | **2.9×** |
+| `lts` | taxi_lts / tile_puzzle / CTL shape | worklist delta | 1.8× | 1.8× |
+| `clq` | `bench_clique_no_unify` | triangle staging | 0.9× | **6.9×** |
+| `pc2` | `process_calculus_bench` | delta | 1.1× | — |
+
+What separates the top of that table from the bottom is projection, not cyclicity. `cyc` and
+`craft` both discard almost every body variable, so materialising a bag pays for the shared
+suffix once instead of once per discarded binding. `clq` is just as cyclic but names every
+variable in its template, so leapfrog has nothing to share and only the ProductZipper -- which
+has no per-level intersection at all -- gains. `lts` and `pc2` grow the relation the join
+PROBES rather than the one it ENUMERATES, so a delta barely helps; `tc` grows the enumerated one
+quadratically, which is the whole 130×.
+
+Programs that the sweep found and did NOT translate, with the reason: `bench_logic_query`,
+`bench_finite_domain`, `pattern_mining`, `bench_lr`, `grounding`, `string_convert` and the
+`Sources-and-Sinks` examples are single-shot and non-iterative with nothing projected away;
+`decision_tree_learning`, `hexlife` and `ip_sudoku` are driven by aggregating sinks, which the
+projection cut may not touch at all (see the sink note in space.rs); `bfc`, `ctl` and the
+backward-chaining family are iterative but their rules are generated per-step by meta-execs, so
+a delta rewrite has to be applied to the generator rather than the rule and is a larger change
+than this file demonstrates.
diff --git a/examples/transforms/bench_pairs.py b/examples/transforms/bench_pairs.py
new file mode 100755
index 00000000..9e776b09
--- /dev/null
+++ b/examples/transforms/bench_pairs.py
@@ -0,0 +1,42 @@
+#!/usr/bin/env python3
+"""Benchmark paired MM2 programs: for each X, run X_naive.mm2 against X_<variant>.mm2 on both
+engines, check the answer spaces agree, and report the ratio. Query-only time, best of 3."""
+import glob, os, re, subprocess, sys
+TOOK = re.compile(r"took (\d+) ms")
+def run(binary, prog, out, steps, reps=3):
+    best = None
+    for _ in range(reps):
+        try:
+            r = subprocess.run([binary, "run", prog, "--steps", str(steps), out],
+                               capture_output=True, timeout=600)
+        except subprocess.TimeoutExpired:
+            return None, None
+        m = TOOK.search(r.stdout.decode("utf-8", "replace"))
+        ms = int(m.group(1)) if m else -1
+        best = ms if best is None else min(best, ms)
+    return best, open(out, "rb").read()
+def key_lines(dump, prefixes):
+    return sorted(l for l in dump.decode("utf-8", "replace").split("\n")
+                  if any(l.startswith("(" + p) for p in prefixes))
+def main(d, steps, prefixes):
+    names = sorted({os.path.basename(f).rsplit("_", 1)[0] for f in glob.glob(d + "/*_naive.mm2")})
+    print("%-22s %-10s %9s %9s %8s   %9s %9s %8s  %s" %
+          ("example", "variant", "lf naive", "lf opt", "x", "pz naive", "pz opt", "x", "agree"))
+    for n in names:
+        base = f"{d}/{n}_naive.mm2"
+        for v in sorted(glob.glob(f"{d}/{n}_*.mm2")):
+            tag = os.path.basename(v)[len(n) + 1:-4]
+            if tag == "naive":
+                continue
+            row, agree = [], []
+            for e in ["lf", "pz"]:
+                bn, bd = run(f"/tmp/paj-v4-{e}", base, f"/tmp/bp_{n}_{e}_n.space", steps)
+                on, od = run(f"/tmp/paj-v4-{e}", v, f"/tmp/bp_{n}_{e}_o.space", steps)
+                if bn is None or on is None:
+                    row += ["t/o", "t/o", 0.0]; agree.append("?"); continue
+                row += [bn, on, bn / max(on, 0.5)]
+                agree.append("y" if key_lines(bd, prefixes) == key_lines(od, prefixes) else "N")
+            print("%-22s %-10s %9s %9s %7.1fx   %9s %9s %7.1fx  %s" %
+                  (n, tag, row[0], row[1], row[2], row[3], row[4], row[5], "".join(agree)))
+if __name__ == "__main__":
+    main(sys.argv[1], int(sys.argv[2]), sys.argv[3].split(","))
diff --git a/examples/transforms/clq_naive.mm2 b/examples/transforms/clq_naive.mm2
new file mode 100644
index 00000000..c544d17c
--- /dev/null
+++ b/examples/transforms/clq_naive.mm2
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+(edge n148 n185)
+(edge n148 n188)
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+(edge n148 n192)
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+(edge n149 n172)
+(edge n149 n174)
+(edge n149 n178)
+(edge n149 n187)
+(edge n149 n188)
+(edge n149 n196)
+(edge n150 n152)
+(edge n150 n157)
+(edge n150 n158)
+(edge n150 n170)
+(edge n150 n172)
+(edge n150 n183)
+(edge n151 n152)
+(edge n151 n153)
+(edge n151 n160)
+(edge n151 n163)
+(edge n151 n174)
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+(edge n152 n161)
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+(edge n152 n193)
+(edge n152 n195)
+(edge n153 n155)
+(edge n153 n157)
+(edge n153 n161)
+(edge n153 n162)
+(edge n153 n165)
+(edge n153 n170)
+(edge n153 n171)
+(edge n153 n183)
+(edge n153 n189)
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+(edge n154 n163)
+(edge n154 n165)
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+(edge n154 n195)
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+(edge n155 n162)
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+(edge n155 n166)
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+(edge n155 n172)
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+(edge n155 n199)
+(edge n156 n157)
+(edge n156 n159)
+(edge n156 n173)
+(edge n156 n184)
+(edge n156 n188)
+(edge n156 n190)
+(edge n156 n194)
+(edge n156 n195)
+(edge n156 n197)
+(edge n157 n160)
+(edge n157 n167)
+(edge n157 n172)
+(edge n157 n174)
+(edge n157 n175)
+(edge n157 n179)
+(edge n157 n185)
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+(edge n157 n190)
+(edge n157 n194)
+(edge n157 n199)
+(edge n158 n164)
+(edge n158 n165)
+(edge n158 n168)
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+(edge n158 n180)
+(edge n158 n181)
+(edge n158 n182)
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+(edge n162 n183)
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+(edge n162 n189)
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+(edge n162 n196)
+(edge n163 n164)
+(edge n163 n172)
+(edge n163 n174)
+(edge n163 n179)
+(edge n163 n185)
+(edge n163 n199)
+(edge n164 n173)
+(edge n164 n185)
+(edge n164 n194)
+(edge n164 n198)
+(edge n165 n170)
+(edge n165 n180)
+(edge n165 n190)
+(edge n165 n195)
+(edge n165 n196)
+(edge n165 n199)
+(edge n166 n168)
+(edge n166 n175)
+(edge n166 n184)
+(edge n166 n196)
+(edge n167 n172)
+(edge n167 n189)
+(edge n167 n192)
+(edge n167 n193)
+(edge n168 n177)
+(edge n168 n182)
+(edge n168 n195)
+(edge n169 n170)
+(edge n169 n171)
+(edge n169 n178)
+(edge n169 n179)
+(edge n169 n182)
+(edge n169 n190)
+(edge n169 n191)
+(edge n169 n192)
+(edge n169 n199)
+(edge n170 n171)
+(edge n170 n173)
+(edge n170 n174)
+(edge n170 n176)
+(edge n170 n177)
+(edge n170 n181)
+(edge n170 n184)
+(edge n171 n181)
+(edge n171 n189)
+(edge n171 n196)
+(edge n171 n197)
+(edge n172 n181)
+(edge n172 n194)
+(edge n173 n178)
+(edge n173 n191)
+(edge n173 n195)
+(edge n173 n197)
+(edge n174 n175)
+(edge n174 n181)
+(edge n175 n182)
+(edge n175 n189)
+(edge n175 n191)
+(edge n175 n193)
+(edge n175 n194)
+(edge n175 n199)
+(edge n176 n177)
+(edge n176 n186)
+(edge n176 n193)
+(edge n177 n180)
+(edge n177 n181)
+(edge n177 n186)
+(edge n178 n186)
+(edge n178 n189)
+(edge n178 n198)
+(edge n179 n181)
+(edge n179 n184)
+(edge n179 n187)
+(edge n179 n198)
+(edge n179 n199)
+(edge n180 n192)
+(edge n180 n194)
+(edge n181 n184)
+(edge n181 n187)
+(edge n181 n190)
+(edge n181 n191)
+(edge n181 n198)
+(edge n182 n193)
+(edge n182 n199)
+(edge n183 n189)
+(edge n183 n193)
+(edge n183 n194)
+(edge n183 n195)
+(edge n184 n190)
+(edge n184 n197)
+(edge n184 n198)
+(edge n185 n196)
+(edge n186 n189)
+(edge n186 n191)
+(edge n186 n192)
+(edge n186 n193)
+(edge n186 n195)
+(edge n186 n196)
+(edge n187 n190)
+(edge n187 n194)
+(edge n188 n189)
+(edge n188 n195)
+(edge n188 n199)
+(edge n189 n192)
+(edge n190 n191)
+(edge n190 n193)
+(edge n190 n199)
+(edge n192 n198)
+(edge n194 n198)
+(edge n195 n196)
+(edge n196 n199)
+
+(exec 9 (, (edge $x0 $x1) (edge $x0 $x2) (edge $x0 $x3) (edge $x1 $x2) (edge $x1 $x3) (edge $x2 $x3))
+        (, (c4 $x0 $x1 $x2 $x3)))
diff --git a/examples/transforms/clq_staged.mm2 b/examples/transforms/clq_staged.mm2
new file mode 100644
index 00000000..e2f48df8
--- /dev/null
+++ b/examples/transforms/clq_staged.mm2
@@ -0,0 +1,3604 @@
+(edge n0 n1)
+(edge n0 n12)
+(edge n0 n21)
+(edge n0 n24)
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+(edge n15 n188)
+(edge n15 n195)
+(edge n15 n199)
+(edge n16 n23)
+(edge n16 n25)
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+(edge n16 n56)
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+(edge n16 n81)
+(edge n16 n83)
+(edge n16 n84)
+(edge n16 n85)
+(edge n16 n87)
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+
+(exec (1 0) (, (edge $x0 $x1) (edge $x0 $x2) (edge $x1 $x2)) (, (tri $x0 $x1 $x2)))
+(exec (1 1) (, (tri $x0 $x1 $x2) (edge $x0 $x3) (edge $x1 $x3) (edge $x2 $x3))
+            (, (c4 $x0 $x1 $x2 $x3)))
diff --git a/examples/transforms/craft_naive.mm2 b/examples/transforms/craft_naive.mm2
new file mode 100644
index 00000000..cce81a42
--- /dev/null
+++ b/examples/transforms/craft_naive.mm2
@@ -0,0 +1,11806 @@
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+(recipe r0 (result (id item0)))
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+
+(exec 9 (, (recipe $p (numIngredients 2)) (recipe $p (result (id $n)))
+           (recipe $p (pattern 0 $x)) (recipe $p (key ($x $xi)))
+           (recipe $p (pattern 1 $y)) (recipe $p (key ($y $yi)))
+           (inventory $xi) (inventory $yi))
+        (, (craftable $n)))
diff --git a/examples/transforms/craft_staged.mm2 b/examples/transforms/craft_staged.mm2
new file mode 100644
index 00000000..80536e62
--- /dev/null
+++ b/examples/transforms/craft_staged.mm2
@@ -0,0 +1,11805 @@
+(recipe r0 (numIngredients 2))
+(recipe r0 (result (id item0)))
+(recipe r0 (pattern 0 sx0))
+(recipe r0 (pattern 1 sy0))
+(recipe r0 (key (sx0 ing0)))
+(recipe r0 (key (sy0 ing0)))
+(recipe r0 (key (sx0 ing1)))
+(recipe r0 (key (sy0 ing1)))
+(recipe r0 (key (sx0 ing2)))
+(recipe r0 (key (sy0 ing2)))
+(recipe r0 (key (sx0 ing3)))
+(recipe r0 (key (sy0 ing3)))
+(recipe r0 (key (sx0 ing4)))
+(recipe r0 (key (sy0 ing4)))
+(recipe r0 (key (sx0 ing5)))
+(recipe r0 (key (sy0 ing5)))
+(recipe r0 (key (sx0 ing6)))
+(recipe r0 (key (sy0 ing6)))
+(recipe r0 (key (sx0 ing7)))
+(recipe r0 (key (sy0 ing7)))
+(recipe r0 (key (sx0 ing8)))
+(recipe r0 (key (sy0 ing8)))
+(recipe r0 (key (sx0 ing9)))
+(recipe r0 (key (sy0 ing9)))
+(recipe r0 (key (sx0 ing10)))
+(recipe r0 (key (sy0 ing10)))
+(recipe r0 (key (sx0 ing11)))
+(recipe r0 (key (sy0 ing11)))
+(recipe r1 (numIngredients 2))
+(recipe r1 (result (id item1)))
+(recipe r1 (pattern 0 sx1))
+(recipe r1 (pattern 1 sy1))
+(recipe r1 (key (sx1 ing3)))
+(recipe r1 (key (sy1 ing5)))
+(recipe r1 (key (sx1 ing4)))
+(recipe r1 (key (sy1 ing6)))
+(recipe r1 (key (sx1 ing5)))
+(recipe r1 (key (sy1 ing7)))
+(recipe r1 (key (sx1 ing6)))
+(recipe r1 (key (sy1 ing8)))
+(recipe r1 (key (sx1 ing7)))
+(recipe r1 (key (sy1 ing9)))
+(recipe r1 (key (sx1 ing8)))
+(recipe r1 (key (sy1 ing10)))
+(recipe r1 (key (sx1 ing9)))
+(recipe r1 (key (sy1 ing11)))
+(recipe r1 (key (sx1 ing10)))
+(recipe r1 (key (sy1 ing12)))
+(recipe r1 (key (sx1 ing11)))
+(recipe r1 (key (sy1 ing13)))
+(recipe r1 (key (sx1 ing12)))
+(recipe r1 (key (sy1 ing14)))
+(recipe r1 (key (sx1 ing13)))
+(recipe r1 (key (sy1 ing15)))
+(recipe r1 (key (sx1 ing14)))
+(recipe r1 (key (sy1 ing16)))
+(recipe r2 (numIngredients 2))
+(recipe r2 (result (id item2)))
+(recipe r2 (pattern 0 sx2))
+(recipe r2 (pattern 1 sy2))
+(recipe r2 (key (sx2 ing6)))
+(recipe r2 (key (sy2 ing10)))
+(recipe r2 (key (sx2 ing7)))
+(recipe r2 (key (sy2 ing11)))
+(recipe r2 (key (sx2 ing8)))
+(recipe r2 (key (sy2 ing12)))
+(recipe r2 (key (sx2 ing9)))
+(recipe r2 (key (sy2 ing13)))
+(recipe r2 (key (sx2 ing10)))
+(recipe r2 (key (sy2 ing14)))
+(recipe r2 (key (sx2 ing11)))
+(recipe r2 (key (sy2 ing15)))
+(recipe r2 (key (sx2 ing12)))
+(recipe r2 (key (sy2 ing16)))
+(recipe r2 (key (sx2 ing13)))
+(recipe r2 (key (sy2 ing17)))
+(recipe r2 (key (sx2 ing14)))
+(recipe r2 (key (sy2 ing18)))
+(recipe r2 (key (sx2 ing15)))
+(recipe r2 (key (sy2 ing19)))
+(recipe r2 (key (sx2 ing16)))
+(recipe r2 (key (sy2 ing20)))
+(recipe r2 (key (sx2 ing17)))
+(recipe r2 (key (sy2 ing21)))
+(recipe r3 (numIngredients 2))
+(recipe r3 (result (id item3)))
+(recipe r3 (pattern 0 sx3))
+(recipe r3 (pattern 1 sy3))
+(recipe r3 (key (sx3 ing9)))
+(recipe r3 (key (sy3 ing15)))
+(recipe r3 (key (sx3 ing10)))
+(recipe r3 (key (sy3 ing16)))
+(recipe r3 (key (sx3 ing11)))
+(recipe r3 (key (sy3 ing17)))
+(recipe r3 (key (sx3 ing12)))
+(recipe r3 (key (sy3 ing18)))
+(recipe r3 (key (sx3 ing13)))
+(recipe r3 (key (sy3 ing19)))
+(recipe r3 (key (sx3 ing14)))
+(recipe r3 (key (sy3 ing20)))
+(recipe r3 (key (sx3 ing15)))
+(recipe r3 (key (sy3 ing21)))
+(recipe r3 (key (sx3 ing16)))
+(recipe r3 (key (sy3 ing22)))
+(recipe r3 (key (sx3 ing17)))
+(recipe r3 (key (sy3 ing23)))
+(recipe r3 (key (sx3 ing18)))
+(recipe r3 (key (sy3 ing24)))
+(recipe r3 (key (sx3 ing19)))
+(recipe r3 (key (sy3 ing25)))
+(recipe r3 (key (sx3 ing20)))
+(recipe r3 (key (sy3 ing26)))
+(recipe r4 (numIngredients 2))
+(recipe r4 (result (id item4)))
+(recipe r4 (pattern 0 sx4))
+(recipe r4 (pattern 1 sy4))
+(recipe r4 (key (sx4 ing12)))
+(recipe r4 (key (sy4 ing20)))
+(recipe r4 (key (sx4 ing13)))
+(recipe r4 (key (sy4 ing21)))
+(recipe r4 (key (sx4 ing14)))
+(recipe r4 (key (sy4 ing22)))
+(recipe r4 (key (sx4 ing15)))
+(recipe r4 (key (sy4 ing23)))
+(recipe r4 (key (sx4 ing16)))
+(recipe r4 (key (sy4 ing24)))
+(recipe r4 (key (sx4 ing17)))
+(recipe r4 (key (sy4 ing25)))
+(recipe r4 (key (sx4 ing18)))
+(recipe r4 (key (sy4 ing26)))
+(recipe r4 (key (sx4 ing19)))
+(recipe r4 (key (sy4 ing27)))
+(recipe r4 (key (sx4 ing20)))
+(recipe r4 (key (sy4 ing28)))
+(recipe r4 (key (sx4 ing21)))
+(recipe r4 (key (sy4 ing29)))
+(recipe r4 (key (sx4 ing22)))
+(recipe r4 (key (sy4 ing30)))
+(recipe r4 (key (sx4 ing23)))
+(recipe r4 (key (sy4 ing31)))
+(recipe r5 (numIngredients 2))
+(recipe r5 (result (id item5)))
+(recipe r5 (pattern 0 sx5))
+(recipe r5 (pattern 1 sy5))
+(recipe r5 (key (sx5 ing15)))
+(recipe r5 (key (sy5 ing25)))
+(recipe r5 (key (sx5 ing16)))
+(recipe r5 (key (sy5 ing26)))
+(recipe r5 (key (sx5 ing17)))
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+(recipe r5 (key (sx5 ing18)))
+(recipe r5 (key (sy5 ing28)))
+(recipe r5 (key (sx5 ing19)))
+(recipe r5 (key (sy5 ing29)))
+(recipe r5 (key (sx5 ing20)))
+(recipe r5 (key (sy5 ing30)))
+(recipe r5 (key (sx5 ing21)))
+(recipe r5 (key (sy5 ing31)))
+(recipe r5 (key (sx5 ing22)))
+(recipe r5 (key (sy5 ing32)))
+(recipe r5 (key (sx5 ing23)))
+(recipe r5 (key (sy5 ing33)))
+(recipe r5 (key (sx5 ing24)))
+(recipe r5 (key (sy5 ing34)))
+(recipe r5 (key (sx5 ing25)))
+(recipe r5 (key (sy5 ing35)))
+(recipe r5 (key (sx5 ing26)))
+(recipe r5 (key (sy5 ing36)))
+(recipe r6 (numIngredients 2))
+(recipe r6 (result (id item6)))
+(recipe r6 (pattern 0 sx6))
+(recipe r6 (pattern 1 sy6))
+(recipe r6 (key (sx6 ing18)))
+(recipe r6 (key (sy6 ing30)))
+(recipe r6 (key (sx6 ing19)))
+(recipe r6 (key (sy6 ing31)))
+(recipe r6 (key (sx6 ing20)))
+(recipe r6 (key (sy6 ing32)))
+(recipe r6 (key (sx6 ing21)))
+(recipe r6 (key (sy6 ing33)))
+(recipe r6 (key (sx6 ing22)))
+(recipe r6 (key (sy6 ing34)))
+(recipe r6 (key (sx6 ing23)))
+(recipe r6 (key (sy6 ing35)))
+(recipe r6 (key (sx6 ing24)))
+(recipe r6 (key (sy6 ing36)))
+(recipe r6 (key (sx6 ing25)))
+(recipe r6 (key (sy6 ing37)))
+(recipe r6 (key (sx6 ing26)))
+(recipe r6 (key (sy6 ing38)))
+(recipe r6 (key (sx6 ing27)))
+(recipe r6 (key (sy6 ing39)))
+(recipe r6 (key (sx6 ing28)))
+(recipe r6 (key (sy6 ing40)))
+(recipe r6 (key (sx6 ing29)))
+(recipe r6 (key (sy6 ing41)))
+(recipe r7 (numIngredients 2))
+(recipe r7 (result (id item7)))
+(recipe r7 (pattern 0 sx7))
+(recipe r7 (pattern 1 sy7))
+(recipe r7 (key (sx7 ing21)))
+(recipe r7 (key (sy7 ing35)))
+(recipe r7 (key (sx7 ing22)))
+(recipe r7 (key (sy7 ing36)))
+(recipe r7 (key (sx7 ing23)))
+(recipe r7 (key (sy7 ing37)))
+(recipe r7 (key (sx7 ing24)))
+(recipe r7 (key (sy7 ing38)))
+(recipe r7 (key (sx7 ing25)))
+(recipe r7 (key (sy7 ing39)))
+(recipe r7 (key (sx7 ing26)))
+(recipe r7 (key (sy7 ing40)))
+(recipe r7 (key (sx7 ing27)))
+(recipe r7 (key (sy7 ing41)))
+(recipe r7 (key (sx7 ing28)))
+(recipe r7 (key (sy7 ing42)))
+(recipe r7 (key (sx7 ing29)))
+(recipe r7 (key (sy7 ing43)))
+(recipe r7 (key (sx7 ing30)))
+(recipe r7 (key (sy7 ing44)))
+(recipe r7 (key (sx7 ing31)))
+(recipe r7 (key (sy7 ing45)))
+(recipe r7 (key (sx7 ing32)))
+(recipe r7 (key (sy7 ing46)))
+(recipe r8 (numIngredients 2))
+(recipe r8 (result (id item8)))
+(recipe r8 (pattern 0 sx8))
+(recipe r8 (pattern 1 sy8))
+(recipe r8 (key (sx8 ing24)))
+(recipe r8 (key (sy8 ing40)))
+(recipe r8 (key (sx8 ing25)))
+(recipe r8 (key (sy8 ing41)))
+(recipe r8 (key (sx8 ing26)))
+(recipe r8 (key (sy8 ing42)))
+(recipe r8 (key (sx8 ing27)))
+(recipe r8 (key (sy8 ing43)))
+(recipe r8 (key (sx8 ing28)))
+(recipe r8 (key (sy8 ing44)))
+(recipe r8 (key (sx8 ing29)))
+(recipe r8 (key (sy8 ing45)))
+(recipe r8 (key (sx8 ing30)))
+(recipe r8 (key (sy8 ing46)))
+(recipe r8 (key (sx8 ing31)))
+(recipe r8 (key (sy8 ing47)))
+(recipe r8 (key (sx8 ing32)))
+(recipe r8 (key (sy8 ing48)))
+(recipe r8 (key (sx8 ing33)))
+(recipe r8 (key (sy8 ing49)))
+(recipe r8 (key (sx8 ing34)))
+(recipe r8 (key (sy8 ing50)))
+(recipe r8 (key (sx8 ing35)))
+(recipe r8 (key (sy8 ing51)))
+(recipe r9 (numIngredients 2))
+(recipe r9 (result (id item9)))
+(recipe r9 (pattern 0 sx9))
+(recipe r9 (pattern 1 sy9))
+(recipe r9 (key (sx9 ing27)))
+(recipe r9 (key (sy9 ing45)))
+(recipe r9 (key (sx9 ing28)))
+(recipe r9 (key (sy9 ing46)))
+(recipe r9 (key (sx9 ing29)))
+(recipe r9 (key (sy9 ing47)))
+(recipe r9 (key (sx9 ing30)))
+(recipe r9 (key (sy9 ing48)))
+(recipe r9 (key (sx9 ing31)))
+(recipe r9 (key (sy9 ing49)))
+(recipe r9 (key (sx9 ing32)))
+(recipe r9 (key (sy9 ing50)))
+(recipe r9 (key (sx9 ing33)))
+(recipe r9 (key (sy9 ing51)))
+(recipe r9 (key (sx9 ing34)))
+(recipe r9 (key (sy9 ing52)))
+(recipe r9 (key (sx9 ing35)))
+(recipe r9 (key (sy9 ing53)))
+(recipe r9 (key (sx9 ing36)))
+(recipe r9 (key (sy9 ing54)))
+(recipe r9 (key (sx9 ing37)))
+(recipe r9 (key (sy9 ing55)))
+(recipe r9 (key (sx9 ing38)))
+(recipe r9 (key (sy9 ing56)))
+(recipe r10 (numIngredients 2))
+(recipe r10 (result (id item10)))
+(recipe r10 (pattern 0 sx10))
+(recipe r10 (pattern 1 sy10))
+(recipe r10 (key (sx10 ing30)))
+(recipe r10 (key (sy10 ing50)))
+(recipe r10 (key (sx10 ing31)))
+(recipe r10 (key (sy10 ing51)))
+(recipe r10 (key (sx10 ing32)))
+(recipe r10 (key (sy10 ing52)))
+(recipe r10 (key (sx10 ing33)))
+(recipe r10 (key (sy10 ing53)))
+(recipe r10 (key (sx10 ing34)))
+(recipe r10 (key (sy10 ing54)))
+(recipe r10 (key (sx10 ing35)))
+(recipe r10 (key (sy10 ing55)))
+(recipe r10 (key (sx10 ing36)))
+(recipe r10 (key (sy10 ing56)))
+(recipe r10 (key (sx10 ing37)))
+(recipe r10 (key (sy10 ing57)))
+(recipe r10 (key (sx10 ing38)))
+(recipe r10 (key (sy10 ing58)))
+(recipe r10 (key (sx10 ing39)))
+(recipe r10 (key (sy10 ing59)))
+(recipe r10 (key (sx10 ing40)))
+(recipe r10 (key (sy10 ing60)))
+(recipe r10 (key (sx10 ing41)))
+(recipe r10 (key (sy10 ing61)))
+(recipe r11 (numIngredients 2))
+(recipe r11 (result (id item11)))
+(recipe r11 (pattern 0 sx11))
+(recipe r11 (pattern 1 sy11))
+(recipe r11 (key (sx11 ing33)))
+(recipe r11 (key (sy11 ing55)))
+(recipe r11 (key (sx11 ing34)))
+(recipe r11 (key (sy11 ing56)))
+(recipe r11 (key (sx11 ing35)))
+(recipe r11 (key (sy11 ing57)))
+(recipe r11 (key (sx11 ing36)))
+(recipe r11 (key (sy11 ing58)))
+(recipe r11 (key (sx11 ing37)))
+(recipe r11 (key (sy11 ing59)))
+(recipe r11 (key (sx11 ing38)))
+(recipe r11 (key (sy11 ing60)))
+(recipe r11 (key (sx11 ing39)))
+(recipe r11 (key (sy11 ing61)))
+(recipe r11 (key (sx11 ing40)))
+(recipe r11 (key (sy11 ing62)))
+(recipe r11 (key (sx11 ing41)))
+(recipe r11 (key (sy11 ing63)))
+(recipe r11 (key (sx11 ing42)))
+(recipe r11 (key (sy11 ing64)))
+(recipe r11 (key (sx11 ing43)))
+(recipe r11 (key (sy11 ing65)))
+(recipe r11 (key (sx11 ing44)))
+(recipe r11 (key (sy11 ing66)))
+(recipe r12 (numIngredients 2))
+(recipe r12 (result (id item12)))
+(recipe r12 (pattern 0 sx12))
+(recipe r12 (pattern 1 sy12))
+(recipe r12 (key (sx12 ing36)))
+(recipe r12 (key (sy12 ing60)))
+(recipe r12 (key (sx12 ing37)))
+(recipe r12 (key (sy12 ing61)))
+(recipe r12 (key (sx12 ing38)))
+(recipe r12 (key (sy12 ing62)))
+(recipe r12 (key (sx12 ing39)))
+(recipe r12 (key (sy12 ing63)))
+(recipe r12 (key (sx12 ing40)))
+(recipe r12 (key (sy12 ing64)))
+(recipe r12 (key (sx12 ing41)))
+(recipe r12 (key (sy12 ing65)))
+(recipe r12 (key (sx12 ing42)))
+(recipe r12 (key (sy12 ing66)))
+(recipe r12 (key (sx12 ing43)))
+(recipe r12 (key (sy12 ing67)))
+(recipe r12 (key (sx12 ing44)))
+(recipe r12 (key (sy12 ing68)))
+(recipe r12 (key (sx12 ing45)))
+(recipe r12 (key (sy12 ing69)))
+(recipe r12 (key (sx12 ing46)))
+(recipe r12 (key (sy12 ing70)))
+(recipe r12 (key (sx12 ing47)))
+(recipe r12 (key (sy12 ing71)))
+(recipe r13 (numIngredients 2))
+(recipe r13 (result (id item13)))
+(recipe r13 (pattern 0 sx13))
+(recipe r13 (pattern 1 sy13))
+(recipe r13 (key (sx13 ing39)))
+(recipe r13 (key (sy13 ing65)))
+(recipe r13 (key (sx13 ing40)))
+(recipe r13 (key (sy13 ing66)))
+(recipe r13 (key (sx13 ing41)))
+(recipe r13 (key (sy13 ing67)))
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+(exec (1 0) (, (recipe $p (pattern 0 $x)) (recipe $p (key ($x $xi))) (inventory $xi)) (, (ok0 $p)))
+(exec (1 1) (, (recipe $p (pattern 1 $y)) (recipe $p (key ($y $yi))) (inventory $yi)) (, (ok1 $p)))
+(exec (1 2) (, (recipe $p (numIngredients 2)) (ok0 $p) (ok1 $p) (recipe $p (result (id $n))))
+            (, (craftable $n)))
diff --git a/examples/transforms/cyc_naive.mm2 b/examples/transforms/cyc_naive.mm2
new file mode 100644
index 00000000..f2ed2721
--- /dev/null
+++ b/examples/transforms/cyc_naive.mm2
@@ -0,0 +1,901 @@
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diff --git a/examples/transforms/cyc_staged.mm2 b/examples/transforms/cyc_staged.mm2
new file mode 100644
index 00000000..63ad0c46
--- /dev/null
+++ b/examples/transforms/cyc_staged.mm2
@@ -0,0 +1,902 @@
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+(exec (1 0) (, (e $a $b) (e $b $c) (e $c $d)) (, (p3 $a $d)))
+(exec (1 1) (, (p3 $a $d) (e $d $f) (e $f $g) (e $g $a)) (, (cyc6 $a)))
diff --git a/examples/transforms/generate.py b/examples/transforms/generate.py
new file mode 100755
index 00000000..cfdd6692
--- /dev/null
+++ b/examples/transforms/generate.py
@@ -0,0 +1,63 @@
+#!/usr/bin/env python3
+"""Generate the measured programs for the two source-level transforms.
+
+  chain_{naive,staged}.mm2   a chain query R-S-T, joined directly vs Yannakakis-staged
+  proj_{keyfirst,keylast}.mm2  the same projection under both column orders
+  tc_{naive,delta}.mm2       transitive closure, re-joined in full vs semi-naive
+
+Run:  generate.py OUTDIR   then  mork run OUTDIR/<prog>.mm2 --steps 300 /tmp/out.space
+"""
+import os, random, sys
+
+def main(outdir):
+    os.makedirs(outdir, exist_ok=True)
+    w = lambda n, s: open(os.path.join(outdir, n), "w").write(s)
+    random.seed(9)
+
+    # ---- chain query: T is narrow, so most S and R tuples dangle
+    ny = nz = 600
+    R = [(f"x{i}", f"y{random.randrange(ny)}") for i in range(60000)]
+    S = [(f"y{random.randrange(ny)}", f"z{random.randrange(nz)}") for i in range(60000)]
+    T = [(f"z{i}", f"w{j}") for i in range(8) for j in range(3)]
+    data = ([f"(R {a} {b})" for a, b in R] + [f"(S {a} {b})" for a, b in S]
+            + [f"(T {a} {b})" for a, b in T])
+    w("chain_naive.mm2", "\n".join(data) + "\n"
+      "(exec 9 (, (R $x $y) (S $y $z) (T $z $w)) (, (out $x $w)))\n")
+    w("chain_staged.mm2", "\n".join(data) + """
+;; Yannakakis: project, semi-join bottom-up, semi-join top-down, join the reduced relations.
+;; Every projection is `(, (Rel $key $_))` -- the shape the projection cut answers with one
+;; witness per key -- which is why the reduced relations are emitted KEY-FIRST.
+(exec (1 0) (, (T $z $_))            (, (Tz $z)))
+(exec (1 1) (, (S $y $z) (Tz $z))    (, (S1 $y $z)))
+(exec (1 2) (, (S1 $y $_))           (, (S1y $y)))
+(exec (1 3) (, (R $x $y) (S1y $y))   (, (R1 $y $x)))
+(exec (1 4) (, (R1 $y $_))           (, (R1y $y)))
+(exec (1 5) (, (S1 $y $z) (R1y $y))  (, (S2 $z $y)))
+(exec (1 6) (, (S2 $z $_))           (, (S2z $z)))
+(exec (1 7) (, (T $z $w) (S2z $z))   (, (T1 $z $w)))
+(exec (2 0) (, (R1 $y $x) (S2 $z $y) (T1 $z $w)) (, (out $x $w)))
+""")
+
+    # ---- the projection alone, under both column orders
+    P = [(f"y{random.randrange(600)}", f"z{random.randrange(600)}") for _ in range(80000)]
+    pd = "\n".join(f"(S {a} {b})" for a, b in P)
+    w("proj_keyfirst.mm2", pd + "\n(exec 0 (, (S $y $_)) (, (Sy $y)))\n")
+    w("proj_keylast.mm2", pd + "\n(exec 0 (, (S $_ $z)) (, (Sz $z)))\n")
+
+    # ---- transitive closure over a chain: |path| is quadratic, each frontier is linear
+    n = 220
+    edges = "\n".join(f"(edge n{i} n{i+1})" for i in range(n - 1))
+    w("tc_naive.mm2", edges + """
+(exec (0 0) (, (edge $x $y)) (, (path $x $y)))
+(exec (1 Z) (, (exec (1 $l) $p $t) (path $x $y) (edge $y $z))
+            (, (exec (1 (S $l)) $p $t) (path $x $z)))
+""")
+    w("tc_delta.mm2", edges + """
+(exec (0 0) (, (edge $x $y)) (, (front Z $x $y) (path $x $y)))
+(exec (1 Z) (, (exec (1 $l) $p $t) (front $l $x $y) (edge $y $z))
+            (, (exec (1 (S $l)) $p $t) (front (S $l) $x $z) (path $x $z)))
+""")
+    print("wrote 6 programs to " + outdir)
+
+if __name__ == "__main__":
+    main(sys.argv[1] if len(sys.argv) > 1 else ".")
diff --git a/examples/transforms/lts_delta.mm2 b/examples/transforms/lts_delta.mm2
new file mode 100644
index 00000000..b944a0d9
--- /dev/null
+++ b/examples/transforms/lts_delta.mm2
@@ -0,0 +1,18011 @@
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+(trans s5999 s7)
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+(state s0)
+(dstate s0)
+(fuelD (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S Z)))))))))))))))))))))))))))))))))))))))))
+
+
+;; One exec: take the worklist, publish successors into both the state set and the worklist,
+;; retire what was taken. A separate promotion exec would be starved -- this family re-adds
+;; itself and sorts first, so it consumes all the fuel before the promoter ever runs.
+(exec (1 Z) (, (exec (1 $l) $p $t) (fuelD (S $k)) (dstate $s) (trans $s $u))
+            (O (+ (exec (1 (S $l)) $p $t)) (+ (state $u)) (+ (dstate $u))
+               (- (dstate $s)) (+ (fuelD $k)) (- (fuelD (S $k)))))
diff --git a/examples/transforms/lts_naive.mm2 b/examples/transforms/lts_naive.mm2
new file mode 100644
index 00000000..fc76dd74
--- /dev/null
+++ b/examples/transforms/lts_naive.mm2
@@ -0,0 +1,18005 @@
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+(trans s5855 s4999)
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+(trans s5861 s5041)
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+(trans s5862 s5035)
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+(trans s5864 s5075)
+(trans s5865 s5056)
+(trans s5865 s5069)
+(trans s5865 s5082)
+(trans s5866 s5063)
+(trans s5866 s5076)
+(trans s5866 s5089)
+(trans s5867 s5070)
+(trans s5867 s5083)
+(trans s5867 s5096)
+(trans s5868 s5077)
+(trans s5868 s5090)
+(trans s5868 s5103)
+(trans s5869 s5084)
+(trans s5869 s5097)
+(trans s5869 s5110)
+(trans s5870 s5091)
+(trans s5870 s5104)
+(trans s5870 s5117)
+(trans s5871 s5098)
+(trans s5871 s5111)
+(trans s5871 s5124)
+(trans s5872 s5105)
+(trans s5872 s5118)
+(trans s5872 s5131)
+(trans s5873 s5112)
+(trans s5873 s5125)
+(trans s5873 s5138)
+(trans s5874 s5119)
+(trans s5874 s5132)
+(trans s5874 s5145)
+(trans s5875 s5126)
+(trans s5875 s5139)
+(trans s5875 s5152)
+(trans s5876 s5133)
+(trans s5876 s5146)
+(trans s5876 s5159)
+(trans s5877 s5140)
+(trans s5877 s5153)
+(trans s5877 s5166)
+(trans s5878 s5147)
+(trans s5878 s5160)
+(trans s5878 s5173)
+(trans s5879 s5154)
+(trans s5879 s5167)
+(trans s5879 s5180)
+(trans s5880 s5161)
+(trans s5880 s5174)
+(trans s5880 s5187)
+(trans s5881 s5168)
+(trans s5881 s5181)
+(trans s5881 s5194)
+(trans s5882 s5175)
+(trans s5882 s5188)
+(trans s5882 s5201)
+(trans s5883 s5182)
+(trans s5883 s5195)
+(trans s5883 s5208)
+(trans s5884 s5189)
+(trans s5884 s5202)
+(trans s5884 s5215)
+(trans s5885 s5196)
+(trans s5885 s5209)
+(trans s5885 s5222)
+(trans s5886 s5203)
+(trans s5886 s5216)
+(trans s5886 s5229)
+(trans s5887 s5210)
+(trans s5887 s5223)
+(trans s5887 s5236)
+(trans s5888 s5217)
+(trans s5888 s5230)
+(trans s5888 s5243)
+(trans s5889 s5224)
+(trans s5889 s5237)
+(trans s5889 s5250)
+(trans s5890 s5231)
+(trans s5890 s5244)
+(trans s5890 s5257)
+(trans s5891 s5238)
+(trans s5891 s5251)
+(trans s5891 s5264)
+(trans s5892 s5245)
+(trans s5892 s5258)
+(trans s5892 s5271)
+(trans s5893 s5252)
+(trans s5893 s5265)
+(trans s5893 s5278)
+(trans s5894 s5259)
+(trans s5894 s5272)
+(trans s5894 s5285)
+(trans s5895 s5266)
+(trans s5895 s5279)
+(trans s5895 s5292)
+(trans s5896 s5273)
+(trans s5896 s5286)
+(trans s5896 s5299)
+(trans s5897 s5280)
+(trans s5897 s5293)
+(trans s5897 s5306)
+(trans s5898 s5287)
+(trans s5898 s5300)
+(trans s5898 s5313)
+(trans s5899 s5294)
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+(trans s5899 s5320)
+(trans s5900 s5301)
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+(trans s5901 s5321)
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+(trans s5902 s5328)
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+(trans s5965 s5756)
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+(trans s5978 s5860)
+(trans s5978 s5873)
+(trans s5979 s5854)
+(trans s5979 s5867)
+(trans s5979 s5880)
+(trans s5980 s5861)
+(trans s5980 s5874)
+(trans s5980 s5887)
+(trans s5981 s5868)
+(trans s5981 s5881)
+(trans s5981 s5894)
+(trans s5982 s5875)
+(trans s5982 s5888)
+(trans s5982 s5901)
+(trans s5983 s5882)
+(trans s5983 s5895)
+(trans s5983 s5908)
+(trans s5984 s5889)
+(trans s5984 s5902)
+(trans s5984 s5915)
+(trans s5985 s5896)
+(trans s5985 s5909)
+(trans s5985 s5922)
+(trans s5986 s5903)
+(trans s5986 s5916)
+(trans s5986 s5929)
+(trans s5987 s5910)
+(trans s5987 s5923)
+(trans s5987 s5936)
+(trans s5988 s5917)
+(trans s5988 s5930)
+(trans s5988 s5943)
+(trans s5989 s5924)
+(trans s5989 s5937)
+(trans s5989 s5950)
+(trans s5990 s5931)
+(trans s5990 s5944)
+(trans s5990 s5957)
+(trans s5991 s5938)
+(trans s5991 s5951)
+(trans s5991 s5964)
+(trans s5992 s5945)
+(trans s5992 s5958)
+(trans s5992 s5971)
+(trans s5993 s5952)
+(trans s5993 s5965)
+(trans s5993 s5978)
+(trans s5994 s5959)
+(trans s5994 s5972)
+(trans s5994 s5985)
+(trans s5995 s5966)
+(trans s5995 s5979)
+(trans s5995 s5992)
+(trans s5996 s5973)
+(trans s5996 s5986)
+(trans s5996 s5999)
+(trans s5997 s5980)
+(trans s5997 s5993)
+(trans s5997 s6)
+(trans s5998 s5987)
+(trans s5998 s0)
+(trans s5998 s13)
+(trans s5999 s5994)
+(trans s5999 s7)
+(trans s5999 s20)
+(state s0)
+(fuelN (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S Z)))))))))))))))))))))))))))))))))))))))))
+
+(exec (1 Z) (, (exec (1 $l) $p $t) (fuelN (S $k)) (state $s) (trans $s $u))
+            (O (+ (exec (1 (S $l)) $p $t)) (+ (state $u)) (+ (fuelN $k)) (- (fuelN (S $k)))))
diff --git a/examples/transforms/pc2_delta.mm2 b/examples/transforms/pc2_delta.mm2
new file mode 100644
index 00000000..19a14162
--- /dev/null
+++ b/examples/transforms/pc2_delta.mm2
@@ -0,0 +1,4010 @@
+(petri (? c0 p0 (! c1 p1)))
+(petri (? c1 p1 (! c2 p2)))
+(petri (? c2 p2 (! c3 p3)))
+(petri (? c3 p3 (! c4 p4)))
+(petri (? c4 p4 (! c5 p5)))
+(petri (? c5 p5 (! c6 p6)))
+(petri (? c6 p6 (! c7 p7)))
+(petri (? c7 p7 (! c8 p8)))
+(petri (? c8 p8 (! c9 p9)))
+(petri (? c9 p9 (! c10 p10)))
+(petri (? c10 p10 (! c11 p11)))
+(petri (? c11 p11 (! c12 p12)))
+(petri (? c12 p12 (! c13 p13)))
+(petri (? c13 p13 (! c14 p14)))
+(petri (? c14 p14 (! c15 p15)))
+(petri (? c15 p15 (! c16 p16)))
+(petri (? c16 p16 (! c17 p17)))
+(petri (? c17 p17 (! c18 p18)))
+(petri (? c18 p18 (! c19 p19)))
+(petri (? c19 p19 (! c20 p20)))
+(petri (? c20 p20 (! c21 p21)))
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+(petri (? c22 p22 (! c23 p23)))
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+(petri (? c3826 p3826 (! c3827 p3827)))
+(petri (? c3827 p3827 (! c3828 p3828)))
+(petri (? c3828 p3828 (! c3829 p3829)))
+(petri (? c3829 p3829 (! c3830 p3830)))
+(petri (? c3830 p3830 (! c3831 p3831)))
+(petri (? c3831 p3831 (! c3832 p3832)))
+(petri (? c3832 p3832 (! c3833 p3833)))
+(petri (? c3833 p3833 (! c3834 p3834)))
+(petri (? c3834 p3834 (! c3835 p3835)))
+(petri (? c3835 p3835 (! c3836 p3836)))
+(petri (? c3836 p3836 (! c3837 p3837)))
+(petri (? c3837 p3837 (! c3838 p3838)))
+(petri (? c3838 p3838 (! c3839 p3839)))
+(petri (? c3839 p3839 (! c3840 p3840)))
+(petri (? c3840 p3840 (! c3841 p3841)))
+(petri (? c3841 p3841 (! c3842 p3842)))
+(petri (? c3842 p3842 (! c3843 p3843)))
+(petri (? c3843 p3843 (! c3844 p3844)))
+(petri (? c3844 p3844 (! c3845 p3845)))
+(petri (? c3845 p3845 (! c3846 p3846)))
+(petri (? c3846 p3846 (! c3847 p3847)))
+(petri (? c3847 p3847 (! c3848 p3848)))
+(petri (? c3848 p3848 (! c3849 p3849)))
+(petri (? c3849 p3849 (! c3850 p3850)))
+(petri (? c3850 p3850 (! c3851 p3851)))
+(petri (? c3851 p3851 (! c3852 p3852)))
+(petri (? c3852 p3852 (! c3853 p3853)))
+(petri (? c3853 p3853 (! c3854 p3854)))
+(petri (? c3854 p3854 (! c3855 p3855)))
+(petri (? c3855 p3855 (! c3856 p3856)))
+(petri (? c3856 p3856 (! c3857 p3857)))
+(petri (? c3857 p3857 (! c3858 p3858)))
+(petri (? c3858 p3858 (! c3859 p3859)))
+(petri (? c3859 p3859 (! c3860 p3860)))
+(petri (? c3860 p3860 (! c3861 p3861)))
+(petri (? c3861 p3861 (! c3862 p3862)))
+(petri (? c3862 p3862 (! c3863 p3863)))
+(petri (? c3863 p3863 (! c3864 p3864)))
+(petri (? c3864 p3864 (! c3865 p3865)))
+(petri (? c3865 p3865 (! c3866 p3866)))
+(petri (? c3866 p3866 (! c3867 p3867)))
+(petri (? c3867 p3867 (! c3868 p3868)))
+(petri (? c3868 p3868 (! c3869 p3869)))
+(petri (? c3869 p3869 (! c3870 p3870)))
+(petri (? c3870 p3870 (! c3871 p3871)))
+(petri (? c3871 p3871 (! c3872 p3872)))
+(petri (? c3872 p3872 (! c3873 p3873)))
+(petri (? c3873 p3873 (! c3874 p3874)))
+(petri (? c3874 p3874 (! c3875 p3875)))
+(petri (? c3875 p3875 (! c3876 p3876)))
+(petri (? c3876 p3876 (! c3877 p3877)))
+(petri (? c3877 p3877 (! c3878 p3878)))
+(petri (? c3878 p3878 (! c3879 p3879)))
+(petri (? c3879 p3879 (! c3880 p3880)))
+(petri (? c3880 p3880 (! c3881 p3881)))
+(petri (? c3881 p3881 (! c3882 p3882)))
+(petri (? c3882 p3882 (! c3883 p3883)))
+(petri (? c3883 p3883 (! c3884 p3884)))
+(petri (? c3884 p3884 (! c3885 p3885)))
+(petri (? c3885 p3885 (! c3886 p3886)))
+(petri (? c3886 p3886 (! c3887 p3887)))
+(petri (? c3887 p3887 (! c3888 p3888)))
+(petri (? c3888 p3888 (! c3889 p3889)))
+(petri (? c3889 p3889 (! c3890 p3890)))
+(petri (? c3890 p3890 (! c3891 p3891)))
+(petri (? c3891 p3891 (! c3892 p3892)))
+(petri (? c3892 p3892 (! c3893 p3893)))
+(petri (? c3893 p3893 (! c3894 p3894)))
+(petri (? c3894 p3894 (! c3895 p3895)))
+(petri (? c3895 p3895 (! c3896 p3896)))
+(petri (? c3896 p3896 (! c3897 p3897)))
+(petri (? c3897 p3897 (! c3898 p3898)))
+(petri (? c3898 p3898 (! c3899 p3899)))
+(petri (? c3899 p3899 (! c3900 p3900)))
+(petri (? c3900 p3900 (! c3901 p3901)))
+(petri (? c3901 p3901 (! c3902 p3902)))
+(petri (? c3902 p3902 (! c3903 p3903)))
+(petri (? c3903 p3903 (! c3904 p3904)))
+(petri (? c3904 p3904 (! c3905 p3905)))
+(petri (? c3905 p3905 (! c3906 p3906)))
+(petri (? c3906 p3906 (! c3907 p3907)))
+(petri (? c3907 p3907 (! c3908 p3908)))
+(petri (? c3908 p3908 (! c3909 p3909)))
+(petri (? c3909 p3909 (! c3910 p3910)))
+(petri (? c3910 p3910 (! c3911 p3911)))
+(petri (? c3911 p3911 (! c3912 p3912)))
+(petri (? c3912 p3912 (! c3913 p3913)))
+(petri (? c3913 p3913 (! c3914 p3914)))
+(petri (? c3914 p3914 (! c3915 p3915)))
+(petri (? c3915 p3915 (! c3916 p3916)))
+(petri (? c3916 p3916 (! c3917 p3917)))
+(petri (? c3917 p3917 (! c3918 p3918)))
+(petri (? c3918 p3918 (! c3919 p3919)))
+(petri (? c3919 p3919 (! c3920 p3920)))
+(petri (? c3920 p3920 (! c3921 p3921)))
+(petri (? c3921 p3921 (! c3922 p3922)))
+(petri (? c3922 p3922 (! c3923 p3923)))
+(petri (? c3923 p3923 (! c3924 p3924)))
+(petri (? c3924 p3924 (! c3925 p3925)))
+(petri (? c3925 p3925 (! c3926 p3926)))
+(petri (? c3926 p3926 (! c3927 p3927)))
+(petri (? c3927 p3927 (! c3928 p3928)))
+(petri (? c3928 p3928 (! c3929 p3929)))
+(petri (? c3929 p3929 (! c3930 p3930)))
+(petri (? c3930 p3930 (! c3931 p3931)))
+(petri (? c3931 p3931 (! c3932 p3932)))
+(petri (? c3932 p3932 (! c3933 p3933)))
+(petri (? c3933 p3933 (! c3934 p3934)))
+(petri (? c3934 p3934 (! c3935 p3935)))
+(petri (? c3935 p3935 (! c3936 p3936)))
+(petri (? c3936 p3936 (! c3937 p3937)))
+(petri (? c3937 p3937 (! c3938 p3938)))
+(petri (? c3938 p3938 (! c3939 p3939)))
+(petri (? c3939 p3939 (! c3940 p3940)))
+(petri (? c3940 p3940 (! c3941 p3941)))
+(petri (? c3941 p3941 (! c3942 p3942)))
+(petri (? c3942 p3942 (! c3943 p3943)))
+(petri (? c3943 p3943 (! c3944 p3944)))
+(petri (? c3944 p3944 (! c3945 p3945)))
+(petri (? c3945 p3945 (! c3946 p3946)))
+(petri (? c3946 p3946 (! c3947 p3947)))
+(petri (? c3947 p3947 (! c3948 p3948)))
+(petri (? c3948 p3948 (! c3949 p3949)))
+(petri (? c3949 p3949 (! c3950 p3950)))
+(petri (? c3950 p3950 (! c3951 p3951)))
+(petri (? c3951 p3951 (! c3952 p3952)))
+(petri (? c3952 p3952 (! c3953 p3953)))
+(petri (? c3953 p3953 (! c3954 p3954)))
+(petri (? c3954 p3954 (! c3955 p3955)))
+(petri (? c3955 p3955 (! c3956 p3956)))
+(petri (? c3956 p3956 (! c3957 p3957)))
+(petri (? c3957 p3957 (! c3958 p3958)))
+(petri (? c3958 p3958 (! c3959 p3959)))
+(petri (? c3959 p3959 (! c3960 p3960)))
+(petri (? c3960 p3960 (! c3961 p3961)))
+(petri (? c3961 p3961 (! c3962 p3962)))
+(petri (? c3962 p3962 (! c3963 p3963)))
+(petri (? c3963 p3963 (! c3964 p3964)))
+(petri (? c3964 p3964 (! c3965 p3965)))
+(petri (? c3965 p3965 (! c3966 p3966)))
+(petri (? c3966 p3966 (! c3967 p3967)))
+(petri (? c3967 p3967 (! c3968 p3968)))
+(petri (? c3968 p3968 (! c3969 p3969)))
+(petri (? c3969 p3969 (! c3970 p3970)))
+(petri (? c3970 p3970 (! c3971 p3971)))
+(petri (? c3971 p3971 (! c3972 p3972)))
+(petri (? c3972 p3972 (! c3973 p3973)))
+(petri (? c3973 p3973 (! c3974 p3974)))
+(petri (? c3974 p3974 (! c3975 p3975)))
+(petri (? c3975 p3975 (! c3976 p3976)))
+(petri (? c3976 p3976 (! c3977 p3977)))
+(petri (? c3977 p3977 (! c3978 p3978)))
+(petri (? c3978 p3978 (! c3979 p3979)))
+(petri (? c3979 p3979 (! c3980 p3980)))
+(petri (? c3980 p3980 (! c3981 p3981)))
+(petri (? c3981 p3981 (! c3982 p3982)))
+(petri (? c3982 p3982 (! c3983 p3983)))
+(petri (? c3983 p3983 (! c3984 p3984)))
+(petri (? c3984 p3984 (! c3985 p3985)))
+(petri (? c3985 p3985 (! c3986 p3986)))
+(petri (? c3986 p3986 (! c3987 p3987)))
+(petri (? c3987 p3987 (! c3988 p3988)))
+(petri (? c3988 p3988 (! c3989 p3989)))
+(petri (? c3989 p3989 (! c3990 p3990)))
+(petri (? c3990 p3990 (! c3991 p3991)))
+(petri (? c3991 p3991 (! c3992 p3992)))
+(petri (? c3992 p3992 (! c3993 p3993)))
+(petri (? c3993 p3993 (! c3994 p3994)))
+(petri (? c3994 p3994 (! c3995 p3995)))
+(petri (? c3995 p3995 (! c3996 p3996)))
+(petri (? c3996 p3996 (! c3997 p3997)))
+(petri (? c3997 p3997 (! c3998 p3998)))
+(petri (? c3998 p3998 (! c3999 p3999)))
+(petri (? c3999 p3999 (! c4000 p4000)))
+(petri (! c0 p0))
+(dmsg (! c0 p0))
+(fuel (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S Z)))))))))))))))))))))))))))))))
+
+;; One exec per round: consume the delta, add what it derives to both the soup and the next
+;; delta. No separate promotion pass, so nothing can interleave between them.
+(exec (1 Z) (, (exec (1 $l) $p $t) (fuel (S $k))
+               (petri (? $c $pl $b)) (dmsg (! $c $pl)))
+            (O (+ (exec (1 (S $l)) $p $t)) (+ (petri $b)) (+ (dmsg $b))
+               (- (dmsg (! $c $pl))) (+ (fuel $k)) (- (fuel (S $k)))))
diff --git a/examples/transforms/pc2_naive.mm2 b/examples/transforms/pc2_naive.mm2
new file mode 100644
index 00000000..1766c9fc
--- /dev/null
+++ b/examples/transforms/pc2_naive.mm2
@@ -0,0 +1,4006 @@
+(petri (? c0 p0 (! c1 p1)))
+(petri (? c1 p1 (! c2 p2)))
+(petri (? c2 p2 (! c3 p3)))
+(petri (? c3 p3 (! c4 p4)))
+(petri (? c4 p4 (! c5 p5)))
+(petri (? c5 p5 (! c6 p6)))
+(petri (? c6 p6 (! c7 p7)))
+(petri (? c7 p7 (! c8 p8)))
+(petri (? c8 p8 (! c9 p9)))
+(petri (? c9 p9 (! c10 p10)))
+(petri (? c10 p10 (! c11 p11)))
+(petri (? c11 p11 (! c12 p12)))
+(petri (? c12 p12 (! c13 p13)))
+(petri (? c13 p13 (! c14 p14)))
+(petri (? c14 p14 (! c15 p15)))
+(petri (? c15 p15 (! c16 p16)))
+(petri (? c16 p16 (! c17 p17)))
+(petri (? c17 p17 (! c18 p18)))
+(petri (? c18 p18 (! c19 p19)))
+(petri (? c19 p19 (! c20 p20)))
+(petri (? c20 p20 (! c21 p21)))
+(petri (? c21 p21 (! c22 p22)))
+(petri (? c22 p22 (! c23 p23)))
+(petri (? c23 p23 (! c24 p24)))
+(petri (? c24 p24 (! c25 p25)))
+(petri (? c25 p25 (! c26 p26)))
+(petri (? c26 p26 (! c27 p27)))
+(petri (? c27 p27 (! c28 p28)))
+(petri (? c28 p28 (! c29 p29)))
+(petri (? c29 p29 (! c30 p30)))
+(petri (? c30 p30 (! c31 p31)))
+(petri (? c31 p31 (! c32 p32)))
+(petri (? c32 p32 (! c33 p33)))
+(petri (? c33 p33 (! c34 p34)))
+(petri (? c34 p34 (! c35 p35)))
+(petri (? c35 p35 (! c36 p36)))
+(petri (? c36 p36 (! c37 p37)))
+(petri (? c37 p37 (! c38 p38)))
+(petri (? c38 p38 (! c39 p39)))
+(petri (? c39 p39 (! c40 p40)))
+(petri (? c40 p40 (! c41 p41)))
+(petri (? c41 p41 (! c42 p42)))
+(petri (? c42 p42 (! c43 p43)))
+(petri (? c43 p43 (! c44 p44)))
+(petri (? c44 p44 (! c45 p45)))
+(petri (? c45 p45 (! c46 p46)))
+(petri (? c46 p46 (! c47 p47)))
+(petri (? c47 p47 (! c48 p48)))
+(petri (? c48 p48 (! c49 p49)))
+(petri (? c49 p49 (! c50 p50)))
+(petri (? c50 p50 (! c51 p51)))
+(petri (? c51 p51 (! c52 p52)))
+(petri (? c52 p52 (! c53 p53)))
+(petri (? c53 p53 (! c54 p54)))
+(petri (? c54 p54 (! c55 p55)))
+(petri (? c55 p55 (! c56 p56)))
+(petri (? c56 p56 (! c57 p57)))
+(petri (? c57 p57 (! c58 p58)))
+(petri (? c58 p58 (! c59 p59)))
+(petri (? c59 p59 (! c60 p60)))
+(petri (? c60 p60 (! c61 p61)))
+(petri (? c61 p61 (! c62 p62)))
+(petri (? c62 p62 (! c63 p63)))
+(petri (? c63 p63 (! c64 p64)))
+(petri (? c64 p64 (! c65 p65)))
+(petri (? c65 p65 (! c66 p66)))
+(petri (? c66 p66 (! c67 p67)))
+(petri (? c67 p67 (! c68 p68)))
+(petri (? c68 p68 (! c69 p69)))
+(petri (? c69 p69 (! c70 p70)))
+(petri (? c70 p70 (! c71 p71)))
+(petri (? c71 p71 (! c72 p72)))
+(petri (? c72 p72 (! c73 p73)))
+(petri (? c73 p73 (! c74 p74)))
+(petri (? c74 p74 (! c75 p75)))
+(petri (? c75 p75 (! c76 p76)))
+(petri (? c76 p76 (! c77 p77)))
+(petri (? c77 p77 (! c78 p78)))
+(petri (? c78 p78 (! c79 p79)))
+(petri (? c79 p79 (! c80 p80)))
+(petri (? c80 p80 (! c81 p81)))
+(petri (? c81 p81 (! c82 p82)))
+(petri (? c82 p82 (! c83 p83)))
+(petri (? c83 p83 (! c84 p84)))
+(petri (? c84 p84 (! c85 p85)))
+(petri (? c85 p85 (! c86 p86)))
+(petri (? c86 p86 (! c87 p87)))
+(petri (? c87 p87 (! c88 p88)))
+(petri (? c88 p88 (! c89 p89)))
+(petri (? c89 p89 (! c90 p90)))
+(petri (? c90 p90 (! c91 p91)))
+(petri (? c91 p91 (! c92 p92)))
+(petri (? c92 p92 (! c93 p93)))
+(petri (? c93 p93 (! c94 p94)))
+(petri (? c94 p94 (! c95 p95)))
+(petri (? c95 p95 (! c96 p96)))
+(petri (? c96 p96 (! c97 p97)))
+(petri (? c97 p97 (! c98 p98)))
+(petri (? c98 p98 (! c99 p99)))
+(petri (? c99 p99 (! c100 p100)))
+(petri (? c100 p100 (! c101 p101)))
+(petri (? c101 p101 (! c102 p102)))
+(petri (? c102 p102 (! c103 p103)))
+(petri (? c103 p103 (! c104 p104)))
+(petri (? c104 p104 (! c105 p105)))
+(petri (? c105 p105 (! c106 p106)))
+(petri (? c106 p106 (! c107 p107)))
+(petri (? c107 p107 (! c108 p108)))
+(petri (? c108 p108 (! c109 p109)))
+(petri (? c109 p109 (! c110 p110)))
+(petri (? c110 p110 (! c111 p111)))
+(petri (? c111 p111 (! c112 p112)))
+(petri (? c112 p112 (! c113 p113)))
+(petri (? c113 p113 (! c114 p114)))
+(petri (? c114 p114 (! c115 p115)))
+(petri (? c115 p115 (! c116 p116)))
+(petri (? c116 p116 (! c117 p117)))
+(petri (? c117 p117 (! c118 p118)))
+(petri (? c118 p118 (! c119 p119)))
+(petri (? c119 p119 (! c120 p120)))
+(petri (? c120 p120 (! c121 p121)))
+(petri (? c121 p121 (! c122 p122)))
+(petri (? c122 p122 (! c123 p123)))
+(petri (? c123 p123 (! c124 p124)))
+(petri (? c124 p124 (! c125 p125)))
+(petri (? c125 p125 (! c126 p126)))
+(petri (? c126 p126 (! c127 p127)))
+(petri (? c127 p127 (! c128 p128)))
+(petri (? c128 p128 (! c129 p129)))
+(petri (? c129 p129 (! c130 p130)))
+(petri (? c130 p130 (! c131 p131)))
+(petri (? c131 p131 (! c132 p132)))
+(petri (? c132 p132 (! c133 p133)))
+(petri (? c133 p133 (! c134 p134)))
+(petri (? c134 p134 (! c135 p135)))
+(petri (? c135 p135 (! c136 p136)))
+(petri (? c136 p136 (! c137 p137)))
+(petri (? c137 p137 (! c138 p138)))
+(petri (? c138 p138 (! c139 p139)))
+(petri (? c139 p139 (! c140 p140)))
+(petri (? c140 p140 (! c141 p141)))
+(petri (? c141 p141 (! c142 p142)))
+(petri (? c142 p142 (! c143 p143)))
+(petri (? c143 p143 (! c144 p144)))
+(petri (? c144 p144 (! c145 p145)))
+(petri (? c145 p145 (! c146 p146)))
+(petri (? c146 p146 (! c147 p147)))
+(petri (? c147 p147 (! c148 p148)))
+(petri (? c148 p148 (! c149 p149)))
+(petri (? c149 p149 (! c150 p150)))
+(petri (? c150 p150 (! c151 p151)))
+(petri (? c151 p151 (! c152 p152)))
+(petri (? c152 p152 (! c153 p153)))
+(petri (? c153 p153 (! c154 p154)))
+(petri (? c154 p154 (! c155 p155)))
+(petri (? c155 p155 (! c156 p156)))
+(petri (? c156 p156 (! c157 p157)))
+(petri (? c157 p157 (! c158 p158)))
+(petri (? c158 p158 (! c159 p159)))
+(petri (? c159 p159 (! c160 p160)))
+(petri (? c160 p160 (! c161 p161)))
+(petri (? c161 p161 (! c162 p162)))
+(petri (? c162 p162 (! c163 p163)))
+(petri (? c163 p163 (! c164 p164)))
+(petri (? c164 p164 (! c165 p165)))
+(petri (? c165 p165 (! c166 p166)))
+(petri (? c166 p166 (! c167 p167)))
+(petri (? c167 p167 (! c168 p168)))
+(petri (? c168 p168 (! c169 p169)))
+(petri (? c169 p169 (! c170 p170)))
+(petri (? c170 p170 (! c171 p171)))
+(petri (? c171 p171 (! c172 p172)))
+(petri (? c172 p172 (! c173 p173)))
+(petri (? c173 p173 (! c174 p174)))
+(petri (? c174 p174 (! c175 p175)))
+(petri (? c175 p175 (! c176 p176)))
+(petri (? c176 p176 (! c177 p177)))
+(petri (? c177 p177 (! c178 p178)))
+(petri (? c178 p178 (! c179 p179)))
+(petri (? c179 p179 (! c180 p180)))
+(petri (? c180 p180 (! c181 p181)))
+(petri (? c181 p181 (! c182 p182)))
+(petri (? c182 p182 (! c183 p183)))
+(petri (? c183 p183 (! c184 p184)))
+(petri (? c184 p184 (! c185 p185)))
+(petri (? c185 p185 (! c186 p186)))
+(petri (? c186 p186 (! c187 p187)))
+(petri (? c187 p187 (! c188 p188)))
+(petri (? c188 p188 (! c189 p189)))
+(petri (? c189 p189 (! c190 p190)))
+(petri (? c190 p190 (! c191 p191)))
+(petri (? c191 p191 (! c192 p192)))
+(petri (? c192 p192 (! c193 p193)))
+(petri (? c193 p193 (! c194 p194)))
+(petri (? c194 p194 (! c195 p195)))
+(petri (? c195 p195 (! c196 p196)))
+(petri (? c196 p196 (! c197 p197)))
+(petri (? c197 p197 (! c198 p198)))
+(petri (? c198 p198 (! c199 p199)))
+(petri (? c199 p199 (! c200 p200)))
+(petri (? c200 p200 (! c201 p201)))
+(petri (? c201 p201 (! c202 p202)))
+(petri (? c202 p202 (! c203 p203)))
+(petri (? c203 p203 (! c204 p204)))
+(petri (? c204 p204 (! c205 p205)))
+(petri (? c205 p205 (! c206 p206)))
+(petri (? c206 p206 (! c207 p207)))
+(petri (? c207 p207 (! c208 p208)))
+(petri (? c208 p208 (! c209 p209)))
+(petri (? c209 p209 (! c210 p210)))
+(petri (? c210 p210 (! c211 p211)))
+(petri (? c211 p211 (! c212 p212)))
+(petri (? c212 p212 (! c213 p213)))
+(petri (? c213 p213 (! c214 p214)))
+(petri (? c214 p214 (! c215 p215)))
+(petri (? c215 p215 (! c216 p216)))
+(petri (? c216 p216 (! c217 p217)))
+(petri (? c217 p217 (! c218 p218)))
+(petri (? c218 p218 (! c219 p219)))
+(petri (? c219 p219 (! c220 p220)))
+(petri (? c220 p220 (! c221 p221)))
+(petri (? c221 p221 (! c222 p222)))
+(petri (? c222 p222 (! c223 p223)))
+(petri (? c223 p223 (! c224 p224)))
+(petri (? c224 p224 (! c225 p225)))
+(petri (? c225 p225 (! c226 p226)))
+(petri (? c226 p226 (! c227 p227)))
+(petri (? c227 p227 (! c228 p228)))
+(petri (? c228 p228 (! c229 p229)))
+(petri (? c229 p229 (! c230 p230)))
+(petri (? c230 p230 (! c231 p231)))
+(petri (? c231 p231 (! c232 p232)))
+(petri (? c232 p232 (! c233 p233)))
+(petri (? c233 p233 (! c234 p234)))
+(petri (? c234 p234 (! c235 p235)))
+(petri (? c235 p235 (! c236 p236)))
+(petri (? c236 p236 (! c237 p237)))
+(petri (? c237 p237 (! c238 p238)))
+(petri (? c238 p238 (! c239 p239)))
+(petri (? c239 p239 (! c240 p240)))
+(petri (? c240 p240 (! c241 p241)))
+(petri (? c241 p241 (! c242 p242)))
+(petri (? c242 p242 (! c243 p243)))
+(petri (? c243 p243 (! c244 p244)))
+(petri (? c244 p244 (! c245 p245)))
+(petri (? c245 p245 (! c246 p246)))
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+(petri (? c3878 p3878 (! c3879 p3879)))
+(petri (? c3879 p3879 (! c3880 p3880)))
+(petri (? c3880 p3880 (! c3881 p3881)))
+(petri (? c3881 p3881 (! c3882 p3882)))
+(petri (? c3882 p3882 (! c3883 p3883)))
+(petri (? c3883 p3883 (! c3884 p3884)))
+(petri (? c3884 p3884 (! c3885 p3885)))
+(petri (? c3885 p3885 (! c3886 p3886)))
+(petri (? c3886 p3886 (! c3887 p3887)))
+(petri (? c3887 p3887 (! c3888 p3888)))
+(petri (? c3888 p3888 (! c3889 p3889)))
+(petri (? c3889 p3889 (! c3890 p3890)))
+(petri (? c3890 p3890 (! c3891 p3891)))
+(petri (? c3891 p3891 (! c3892 p3892)))
+(petri (? c3892 p3892 (! c3893 p3893)))
+(petri (? c3893 p3893 (! c3894 p3894)))
+(petri (? c3894 p3894 (! c3895 p3895)))
+(petri (? c3895 p3895 (! c3896 p3896)))
+(petri (? c3896 p3896 (! c3897 p3897)))
+(petri (? c3897 p3897 (! c3898 p3898)))
+(petri (? c3898 p3898 (! c3899 p3899)))
+(petri (? c3899 p3899 (! c3900 p3900)))
+(petri (? c3900 p3900 (! c3901 p3901)))
+(petri (? c3901 p3901 (! c3902 p3902)))
+(petri (? c3902 p3902 (! c3903 p3903)))
+(petri (? c3903 p3903 (! c3904 p3904)))
+(petri (? c3904 p3904 (! c3905 p3905)))
+(petri (? c3905 p3905 (! c3906 p3906)))
+(petri (? c3906 p3906 (! c3907 p3907)))
+(petri (? c3907 p3907 (! c3908 p3908)))
+(petri (? c3908 p3908 (! c3909 p3909)))
+(petri (? c3909 p3909 (! c3910 p3910)))
+(petri (? c3910 p3910 (! c3911 p3911)))
+(petri (? c3911 p3911 (! c3912 p3912)))
+(petri (? c3912 p3912 (! c3913 p3913)))
+(petri (? c3913 p3913 (! c3914 p3914)))
+(petri (? c3914 p3914 (! c3915 p3915)))
+(petri (? c3915 p3915 (! c3916 p3916)))
+(petri (? c3916 p3916 (! c3917 p3917)))
+(petri (? c3917 p3917 (! c3918 p3918)))
+(petri (? c3918 p3918 (! c3919 p3919)))
+(petri (? c3919 p3919 (! c3920 p3920)))
+(petri (? c3920 p3920 (! c3921 p3921)))
+(petri (? c3921 p3921 (! c3922 p3922)))
+(petri (? c3922 p3922 (! c3923 p3923)))
+(petri (? c3923 p3923 (! c3924 p3924)))
+(petri (? c3924 p3924 (! c3925 p3925)))
+(petri (? c3925 p3925 (! c3926 p3926)))
+(petri (? c3926 p3926 (! c3927 p3927)))
+(petri (? c3927 p3927 (! c3928 p3928)))
+(petri (? c3928 p3928 (! c3929 p3929)))
+(petri (? c3929 p3929 (! c3930 p3930)))
+(petri (? c3930 p3930 (! c3931 p3931)))
+(petri (? c3931 p3931 (! c3932 p3932)))
+(petri (? c3932 p3932 (! c3933 p3933)))
+(petri (? c3933 p3933 (! c3934 p3934)))
+(petri (? c3934 p3934 (! c3935 p3935)))
+(petri (? c3935 p3935 (! c3936 p3936)))
+(petri (? c3936 p3936 (! c3937 p3937)))
+(petri (? c3937 p3937 (! c3938 p3938)))
+(petri (? c3938 p3938 (! c3939 p3939)))
+(petri (? c3939 p3939 (! c3940 p3940)))
+(petri (? c3940 p3940 (! c3941 p3941)))
+(petri (? c3941 p3941 (! c3942 p3942)))
+(petri (? c3942 p3942 (! c3943 p3943)))
+(petri (? c3943 p3943 (! c3944 p3944)))
+(petri (? c3944 p3944 (! c3945 p3945)))
+(petri (? c3945 p3945 (! c3946 p3946)))
+(petri (? c3946 p3946 (! c3947 p3947)))
+(petri (? c3947 p3947 (! c3948 p3948)))
+(petri (? c3948 p3948 (! c3949 p3949)))
+(petri (? c3949 p3949 (! c3950 p3950)))
+(petri (? c3950 p3950 (! c3951 p3951)))
+(petri (? c3951 p3951 (! c3952 p3952)))
+(petri (? c3952 p3952 (! c3953 p3953)))
+(petri (? c3953 p3953 (! c3954 p3954)))
+(petri (? c3954 p3954 (! c3955 p3955)))
+(petri (? c3955 p3955 (! c3956 p3956)))
+(petri (? c3956 p3956 (! c3957 p3957)))
+(petri (? c3957 p3957 (! c3958 p3958)))
+(petri (? c3958 p3958 (! c3959 p3959)))
+(petri (? c3959 p3959 (! c3960 p3960)))
+(petri (? c3960 p3960 (! c3961 p3961)))
+(petri (? c3961 p3961 (! c3962 p3962)))
+(petri (? c3962 p3962 (! c3963 p3963)))
+(petri (? c3963 p3963 (! c3964 p3964)))
+(petri (? c3964 p3964 (! c3965 p3965)))
+(petri (? c3965 p3965 (! c3966 p3966)))
+(petri (? c3966 p3966 (! c3967 p3967)))
+(petri (? c3967 p3967 (! c3968 p3968)))
+(petri (? c3968 p3968 (! c3969 p3969)))
+(petri (? c3969 p3969 (! c3970 p3970)))
+(petri (? c3970 p3970 (! c3971 p3971)))
+(petri (? c3971 p3971 (! c3972 p3972)))
+(petri (? c3972 p3972 (! c3973 p3973)))
+(petri (? c3973 p3973 (! c3974 p3974)))
+(petri (? c3974 p3974 (! c3975 p3975)))
+(petri (? c3975 p3975 (! c3976 p3976)))
+(petri (? c3976 p3976 (! c3977 p3977)))
+(petri (? c3977 p3977 (! c3978 p3978)))
+(petri (? c3978 p3978 (! c3979 p3979)))
+(petri (? c3979 p3979 (! c3980 p3980)))
+(petri (? c3980 p3980 (! c3981 p3981)))
+(petri (? c3981 p3981 (! c3982 p3982)))
+(petri (? c3982 p3982 (! c3983 p3983)))
+(petri (? c3983 p3983 (! c3984 p3984)))
+(petri (? c3984 p3984 (! c3985 p3985)))
+(petri (? c3985 p3985 (! c3986 p3986)))
+(petri (? c3986 p3986 (! c3987 p3987)))
+(petri (? c3987 p3987 (! c3988 p3988)))
+(petri (? c3988 p3988 (! c3989 p3989)))
+(petri (? c3989 p3989 (! c3990 p3990)))
+(petri (? c3990 p3990 (! c3991 p3991)))
+(petri (? c3991 p3991 (! c3992 p3992)))
+(petri (? c3992 p3992 (! c3993 p3993)))
+(petri (? c3993 p3993 (! c3994 p3994)))
+(petri (? c3994 p3994 (! c3995 p3995)))
+(petri (? c3995 p3995 (! c3996 p3996)))
+(petri (? c3996 p3996 (! c3997 p3997)))
+(petri (? c3997 p3997 (! c3998 p3998)))
+(petri (? c3998 p3998 (! c3999 p3999)))
+(petri (? c3999 p3999 (! c4000 p4000)))
+(petri (! c0 p0))
+(fuel (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S Z)))))))))))))))))))))))))))))))
+
+(exec (1 Z) (, (exec (1 $l) $p $t) (fuel (S $k))
+               (petri (? $c $pl $b)) (petri (! $c $pl)))
+            (O (+ (exec (1 (S $l)) $p $t)) (+ (petri $b)) (+ (fuel $k)) (- (fuel (S $k)))))
diff --git a/examples/transforms/pc3_consume.mm2 b/examples/transforms/pc3_consume.mm2
new file mode 100644
index 00000000..6a3b713f
--- /dev/null
+++ b/examples/transforms/pc3_consume.mm2
@@ -0,0 +1,408 @@
+(petri (? c0 p0 (! c1 p1)))
+(petri (? c1 p1 (! c2 p2)))
+(petri (? c2 p2 (! c3 p3)))
+(petri (? c3 p3 (! c4 p4)))
+(petri (? c4 p4 (! c5 p5)))
+(petri (? c5 p5 (! c6 p6)))
+(petri (? c6 p6 (! c7 p7)))
+(petri (? c7 p7 (! c8 p8)))
+(petri (? c8 p8 (! c9 p9)))
+(petri (? c9 p9 (! c10 p10)))
+(petri (? c10 p10 (! c11 p11)))
+(petri (? c11 p11 (! c12 p12)))
+(petri (? c12 p12 (! c13 p13)))
+(petri (? c13 p13 (! c14 p14)))
+(petri (? c14 p14 (! c15 p15)))
+(petri (? c15 p15 (! c16 p16)))
+(petri (? c16 p16 (! c17 p17)))
+(petri (? c17 p17 (! c18 p18)))
+(petri (? c18 p18 (! c19 p19)))
+(petri (? c19 p19 (! c20 p20)))
+(petri (? c20 p20 (! c21 p21)))
+(petri (? c21 p21 (! c22 p22)))
+(petri (? c22 p22 (! c23 p23)))
+(petri (? c23 p23 (! c24 p24)))
+(petri (? c24 p24 (! c25 p25)))
+(petri (? c25 p25 (! c26 p26)))
+(petri (? c26 p26 (! c27 p27)))
+(petri (? c27 p27 (! c28 p28)))
+(petri (? c28 p28 (! c29 p29)))
+(petri (? c29 p29 (! c30 p30)))
+(petri (? c30 p30 (! c31 p31)))
+(petri (? c31 p31 (! c32 p32)))
+(petri (? c32 p32 (! c33 p33)))
+(petri (? c33 p33 (! c34 p34)))
+(petri (? c34 p34 (! c35 p35)))
+(petri (? c35 p35 (! c36 p36)))
+(petri (? c36 p36 (! c37 p37)))
+(petri (? c37 p37 (! c38 p38)))
+(petri (? c38 p38 (! c39 p39)))
+(petri (? c39 p39 (! c40 p40)))
+(petri (? c40 p40 (! c41 p41)))
+(petri (? c41 p41 (! c42 p42)))
+(petri (? c42 p42 (! c43 p43)))
+(petri (? c43 p43 (! c44 p44)))
+(petri (? c44 p44 (! c45 p45)))
+(petri (? c45 p45 (! c46 p46)))
+(petri (? c46 p46 (! c47 p47)))
+(petri (? c47 p47 (! c48 p48)))
+(petri (? c48 p48 (! c49 p49)))
+(petri (? c49 p49 (! c50 p50)))
+(petri (? c50 p50 (! c51 p51)))
+(petri (? c51 p51 (! c52 p52)))
+(petri (? c52 p52 (! c53 p53)))
+(petri (? c53 p53 (! c54 p54)))
+(petri (? c54 p54 (! c55 p55)))
+(petri (? c55 p55 (! c56 p56)))
+(petri (? c56 p56 (! c57 p57)))
+(petri (? c57 p57 (! c58 p58)))
+(petri (? c58 p58 (! c59 p59)))
+(petri (? c59 p59 (! c60 p60)))
+(petri (? c60 p60 (! c61 p61)))
+(petri (? c61 p61 (! c62 p62)))
+(petri (? c62 p62 (! c63 p63)))
+(petri (? c63 p63 (! c64 p64)))
+(petri (? c64 p64 (! c65 p65)))
+(petri (? c65 p65 (! c66 p66)))
+(petri (? c66 p66 (! c67 p67)))
+(petri (? c67 p67 (! c68 p68)))
+(petri (? c68 p68 (! c69 p69)))
+(petri (? c69 p69 (! c70 p70)))
+(petri (? c70 p70 (! c71 p71)))
+(petri (? c71 p71 (! c72 p72)))
+(petri (? c72 p72 (! c73 p73)))
+(petri (? c73 p73 (! c74 p74)))
+(petri (? c74 p74 (! c75 p75)))
+(petri (? c75 p75 (! c76 p76)))
+(petri (? c76 p76 (! c77 p77)))
+(petri (? c77 p77 (! c78 p78)))
+(petri (? c78 p78 (! c79 p79)))
+(petri (? c79 p79 (! c80 p80)))
+(petri (? c80 p80 (! c81 p81)))
+(petri (? c81 p81 (! c82 p82)))
+(petri (? c82 p82 (! c83 p83)))
+(petri (? c83 p83 (! c84 p84)))
+(petri (? c84 p84 (! c85 p85)))
+(petri (? c85 p85 (! c86 p86)))
+(petri (? c86 p86 (! c87 p87)))
+(petri (? c87 p87 (! c88 p88)))
+(petri (? c88 p88 (! c89 p89)))
+(petri (? c89 p89 (! c90 p90)))
+(petri (? c90 p90 (! c91 p91)))
+(petri (? c91 p91 (! c92 p92)))
+(petri (? c92 p92 (! c93 p93)))
+(petri (? c93 p93 (! c94 p94)))
+(petri (? c94 p94 (! c95 p95)))
+(petri (? c95 p95 (! c96 p96)))
+(petri (? c96 p96 (! c97 p97)))
+(petri (? c97 p97 (! c98 p98)))
+(petri (? c98 p98 (! c99 p99)))
+(petri (? c99 p99 (! c100 p100)))
+(petri (? c100 p100 (! c101 p101)))
+(petri (? c101 p101 (! c102 p102)))
+(petri (? c102 p102 (! c103 p103)))
+(petri (? c103 p103 (! c104 p104)))
+(petri (? c104 p104 (! c105 p105)))
+(petri (? c105 p105 (! c106 p106)))
+(petri (? c106 p106 (! c107 p107)))
+(petri (? c107 p107 (! c108 p108)))
+(petri (? c108 p108 (! c109 p109)))
+(petri (? c109 p109 (! c110 p110)))
+(petri (? c110 p110 (! c111 p111)))
+(petri (? c111 p111 (! c112 p112)))
+(petri (? c112 p112 (! c113 p113)))
+(petri (? c113 p113 (! c114 p114)))
+(petri (? c114 p114 (! c115 p115)))
+(petri (? c115 p115 (! c116 p116)))
+(petri (? c116 p116 (! c117 p117)))
+(petri (? c117 p117 (! c118 p118)))
+(petri (? c118 p118 (! c119 p119)))
+(petri (? c119 p119 (! c120 p120)))
+(petri (? c120 p120 (! c121 p121)))
+(petri (? c121 p121 (! c122 p122)))
+(petri (? c122 p122 (! c123 p123)))
+(petri (? c123 p123 (! c124 p124)))
+(petri (? c124 p124 (! c125 p125)))
+(petri (? c125 p125 (! c126 p126)))
+(petri (? c126 p126 (! c127 p127)))
+(petri (? c127 p127 (! c128 p128)))
+(petri (? c128 p128 (! c129 p129)))
+(petri (? c129 p129 (! c130 p130)))
+(petri (? c130 p130 (! c131 p131)))
+(petri (? c131 p131 (! c132 p132)))
+(petri (? c132 p132 (! c133 p133)))
+(petri (? c133 p133 (! c134 p134)))
+(petri (? c134 p134 (! c135 p135)))
+(petri (? c135 p135 (! c136 p136)))
+(petri (? c136 p136 (! c137 p137)))
+(petri (? c137 p137 (! c138 p138)))
+(petri (? c138 p138 (! c139 p139)))
+(petri (? c139 p139 (! c140 p140)))
+(petri (? c140 p140 (! c141 p141)))
+(petri (? c141 p141 (! c142 p142)))
+(petri (? c142 p142 (! c143 p143)))
+(petri (? c143 p143 (! c144 p144)))
+(petri (? c144 p144 (! c145 p145)))
+(petri (? c145 p145 (! c146 p146)))
+(petri (? c146 p146 (! c147 p147)))
+(petri (? c147 p147 (! c148 p148)))
+(petri (? c148 p148 (! c149 p149)))
+(petri (? c149 p149 (! c150 p150)))
+(petri (? c150 p150 (! c151 p151)))
+(petri (? c151 p151 (! c152 p152)))
+(petri (? c152 p152 (! c153 p153)))
+(petri (? c153 p153 (! c154 p154)))
+(petri (? c154 p154 (! c155 p155)))
+(petri (? c155 p155 (! c156 p156)))
+(petri (? c156 p156 (! c157 p157)))
+(petri (? c157 p157 (! c158 p158)))
+(petri (? c158 p158 (! c159 p159)))
+(petri (? c159 p159 (! c160 p160)))
+(petri (? c160 p160 (! c161 p161)))
+(petri (? c161 p161 (! c162 p162)))
+(petri (? c162 p162 (! c163 p163)))
+(petri (? c163 p163 (! c164 p164)))
+(petri (? c164 p164 (! c165 p165)))
+(petri (? c165 p165 (! c166 p166)))
+(petri (? c166 p166 (! c167 p167)))
+(petri (? c167 p167 (! c168 p168)))
+(petri (? c168 p168 (! c169 p169)))
+(petri (? c169 p169 (! c170 p170)))
+(petri (? c170 p170 (! c171 p171)))
+(petri (? c171 p171 (! c172 p172)))
+(petri (? c172 p172 (! c173 p173)))
+(petri (? c173 p173 (! c174 p174)))
+(petri (? c174 p174 (! c175 p175)))
+(petri (? c175 p175 (! c176 p176)))
+(petri (? c176 p176 (! c177 p177)))
+(petri (? c177 p177 (! c178 p178)))
+(petri (? c178 p178 (! c179 p179)))
+(petri (? c179 p179 (! c180 p180)))
+(petri (? c180 p180 (! c181 p181)))
+(petri (? c181 p181 (! c182 p182)))
+(petri (? c182 p182 (! c183 p183)))
+(petri (? c183 p183 (! c184 p184)))
+(petri (? c184 p184 (! c185 p185)))
+(petri (? c185 p185 (! c186 p186)))
+(petri (? c186 p186 (! c187 p187)))
+(petri (? c187 p187 (! c188 p188)))
+(petri (? c188 p188 (! c189 p189)))
+(petri (? c189 p189 (! c190 p190)))
+(petri (? c190 p190 (! c191 p191)))
+(petri (? c191 p191 (! c192 p192)))
+(petri (? c192 p192 (! c193 p193)))
+(petri (? c193 p193 (! c194 p194)))
+(petri (? c194 p194 (! c195 p195)))
+(petri (? c195 p195 (! c196 p196)))
+(petri (? c196 p196 (! c197 p197)))
+(petri (? c197 p197 (! c198 p198)))
+(petri (? c198 p198 (! c199 p199)))
+(petri (? c199 p199 (! c200 p200)))
+(petri (? c200 p200 (! c201 p201)))
+(petri (? c201 p201 (! c202 p202)))
+(petri (? c202 p202 (! c203 p203)))
+(petri (? c203 p203 (! c204 p204)))
+(petri (? c204 p204 (! c205 p205)))
+(petri (? c205 p205 (! c206 p206)))
+(petri (? c206 p206 (! c207 p207)))
+(petri (? c207 p207 (! c208 p208)))
+(petri (? c208 p208 (! c209 p209)))
+(petri (? c209 p209 (! c210 p210)))
+(petri (? c210 p210 (! c211 p211)))
+(petri (? c211 p211 (! c212 p212)))
+(petri (? c212 p212 (! c213 p213)))
+(petri (? c213 p213 (! c214 p214)))
+(petri (? c214 p214 (! c215 p215)))
+(petri (? c215 p215 (! c216 p216)))
+(petri (? c216 p216 (! c217 p217)))
+(petri (? c217 p217 (! c218 p218)))
+(petri (? c218 p218 (! c219 p219)))
+(petri (? c219 p219 (! c220 p220)))
+(petri (? c220 p220 (! c221 p221)))
+(petri (? c221 p221 (! c222 p222)))
+(petri (? c222 p222 (! c223 p223)))
+(petri (? c223 p223 (! c224 p224)))
+(petri (? c224 p224 (! c225 p225)))
+(petri (? c225 p225 (! c226 p226)))
+(petri (? c226 p226 (! c227 p227)))
+(petri (? c227 p227 (! c228 p228)))
+(petri (? c228 p228 (! c229 p229)))
+(petri (? c229 p229 (! c230 p230)))
+(petri (? c230 p230 (! c231 p231)))
+(petri (? c231 p231 (! c232 p232)))
+(petri (? c232 p232 (! c233 p233)))
+(petri (? c233 p233 (! c234 p234)))
+(petri (? c234 p234 (! c235 p235)))
+(petri (? c235 p235 (! c236 p236)))
+(petri (? c236 p236 (! c237 p237)))
+(petri (? c237 p237 (! c238 p238)))
+(petri (? c238 p238 (! c239 p239)))
+(petri (? c239 p239 (! c240 p240)))
+(petri (? c240 p240 (! c241 p241)))
+(petri (? c241 p241 (! c242 p242)))
+(petri (? c242 p242 (! c243 p243)))
+(petri (? c243 p243 (! c244 p244)))
+(petri (? c244 p244 (! c245 p245)))
+(petri (? c245 p245 (! c246 p246)))
+(petri (? c246 p246 (! c247 p247)))
+(petri (? c247 p247 (! c248 p248)))
+(petri (? c248 p248 (! c249 p249)))
+(petri (? c249 p249 (! c250 p250)))
+(petri (? c250 p250 (! c251 p251)))
+(petri (? c251 p251 (! c252 p252)))
+(petri (? c252 p252 (! c253 p253)))
+(petri (? c253 p253 (! c254 p254)))
+(petri (? c254 p254 (! c255 p255)))
+(petri (? c255 p255 (! c256 p256)))
+(petri (? c256 p256 (! c257 p257)))
+(petri (? c257 p257 (! c258 p258)))
+(petri (? c258 p258 (! c259 p259)))
+(petri (? c259 p259 (! c260 p260)))
+(petri (? c260 p260 (! c261 p261)))
+(petri (? c261 p261 (! c262 p262)))
+(petri (? c262 p262 (! c263 p263)))
+(petri (? c263 p263 (! c264 p264)))
+(petri (? c264 p264 (! c265 p265)))
+(petri (? c265 p265 (! c266 p266)))
+(petri (? c266 p266 (! c267 p267)))
+(petri (? c267 p267 (! c268 p268)))
+(petri (? c268 p268 (! c269 p269)))
+(petri (? c269 p269 (! c270 p270)))
+(petri (? c270 p270 (! c271 p271)))
+(petri (? c271 p271 (! c272 p272)))
+(petri (? c272 p272 (! c273 p273)))
+(petri (? c273 p273 (! c274 p274)))
+(petri (? c274 p274 (! c275 p275)))
+(petri (? c275 p275 (! c276 p276)))
+(petri (? c276 p276 (! c277 p277)))
+(petri (? c277 p277 (! c278 p278)))
+(petri (? c278 p278 (! c279 p279)))
+(petri (? c279 p279 (! c280 p280)))
+(petri (? c280 p280 (! c281 p281)))
+(petri (? c281 p281 (! c282 p282)))
+(petri (? c282 p282 (! c283 p283)))
+(petri (? c283 p283 (! c284 p284)))
+(petri (? c284 p284 (! c285 p285)))
+(petri (? c285 p285 (! c286 p286)))
+(petri (? c286 p286 (! c287 p287)))
+(petri (? c287 p287 (! c288 p288)))
+(petri (? c288 p288 (! c289 p289)))
+(petri (? c289 p289 (! c290 p290)))
+(petri (? c290 p290 (! c291 p291)))
+(petri (? c291 p291 (! c292 p292)))
+(petri (? c292 p292 (! c293 p293)))
+(petri (? c293 p293 (! c294 p294)))
+(petri (? c294 p294 (! c295 p295)))
+(petri (? c295 p295 (! c296 p296)))
+(petri (? c296 p296 (! c297 p297)))
+(petri (? c297 p297 (! c298 p298)))
+(petri (? c298 p298 (! c299 p299)))
+(petri (? c299 p299 (! c300 p300)))
+(petri (? c300 p300 (! c301 p301)))
+(petri (? c301 p301 (! c302 p302)))
+(petri (? c302 p302 (! c303 p303)))
+(petri (? c303 p303 (! c304 p304)))
+(petri (? c304 p304 (! c305 p305)))
+(petri (? c305 p305 (! c306 p306)))
+(petri (? c306 p306 (! c307 p307)))
+(petri (? c307 p307 (! c308 p308)))
+(petri (? c308 p308 (! c309 p309)))
+(petri (? c309 p309 (! c310 p310)))
+(petri (? c310 p310 (! c311 p311)))
+(petri (? c311 p311 (! c312 p312)))
+(petri (? c312 p312 (! c313 p313)))
+(petri (? c313 p313 (! c314 p314)))
+(petri (? c314 p314 (! c315 p315)))
+(petri (? c315 p315 (! c316 p316)))
+(petri (? c316 p316 (! c317 p317)))
+(petri (? c317 p317 (! c318 p318)))
+(petri (? c318 p318 (! c319 p319)))
+(petri (? c319 p319 (! c320 p320)))
+(petri (? c320 p320 (! c321 p321)))
+(petri (? c321 p321 (! c322 p322)))
+(petri (? c322 p322 (! c323 p323)))
+(petri (? c323 p323 (! c324 p324)))
+(petri (? c324 p324 (! c325 p325)))
+(petri (? c325 p325 (! c326 p326)))
+(petri (? c326 p326 (! c327 p327)))
+(petri (? c327 p327 (! c328 p328)))
+(petri (? c328 p328 (! c329 p329)))
+(petri (? c329 p329 (! c330 p330)))
+(petri (? c330 p330 (! c331 p331)))
+(petri (? c331 p331 (! c332 p332)))
+(petri (? c332 p332 (! c333 p333)))
+(petri (? c333 p333 (! c334 p334)))
+(petri (? c334 p334 (! c335 p335)))
+(petri (? c335 p335 (! c336 p336)))
+(petri (? c336 p336 (! c337 p337)))
+(petri (? c337 p337 (! c338 p338)))
+(petri (? c338 p338 (! c339 p339)))
+(petri (? c339 p339 (! c340 p340)))
+(petri (? c340 p340 (! c341 p341)))
+(petri (? c341 p341 (! c342 p342)))
+(petri (? c342 p342 (! c343 p343)))
+(petri (? c343 p343 (! c344 p344)))
+(petri (? c344 p344 (! c345 p345)))
+(petri (? c345 p345 (! c346 p346)))
+(petri (? c346 p346 (! c347 p347)))
+(petri (? c347 p347 (! c348 p348)))
+(petri (? c348 p348 (! c349 p349)))
+(petri (? c349 p349 (! c350 p350)))
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+(petri (? c352 p352 (! c353 p353)))
+(petri (? c353 p353 (! c354 p354)))
+(petri (? c354 p354 (! c355 p355)))
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+(petri (? c356 p356 (! c357 p357)))
+(petri (? c357 p357 (! c358 p358)))
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+(petri (? c359 p359 (! c360 p360)))
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+(petri (? c376 p376 (! c377 p377)))
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+(petri (? c397 p397 (! c398 p398)))
+(petri (? c398 p398 (! c399 p399)))
+(petri (? c399 p399 (! c400 p400)))
+(petri (! c0 p0))
+(fuel (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S Z))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
+
+(exec (1 Z) (, (exec (1 $l) $p $t) (fuel (S $k))
+               (petri (? $c $pl $b)) (petri (! $c $pl)))
+            (O (+ (exec (1 (S $l)) $p $t)) (+ (petri $b))
+               (- (petri (? $c $pl $b))) (- (petri (! $c $pl)))
+               (+ (fuel $k)) (- (fuel (S $k)))))
diff --git a/examples/transforms/pc3_delta.mm2 b/examples/transforms/pc3_delta.mm2
new file mode 100644
index 00000000..aa1fde9e
--- /dev/null
+++ b/examples/transforms/pc3_delta.mm2
@@ -0,0 +1,408 @@
+(petri (? c0 p0 (! c1 p1)))
+(petri (? c1 p1 (! c2 p2)))
+(petri (? c2 p2 (! c3 p3)))
+(petri (? c3 p3 (! c4 p4)))
+(petri (? c4 p4 (! c5 p5)))
+(petri (? c5 p5 (! c6 p6)))
+(petri (? c6 p6 (! c7 p7)))
+(petri (? c7 p7 (! c8 p8)))
+(petri (? c8 p8 (! c9 p9)))
+(petri (? c9 p9 (! c10 p10)))
+(petri (? c10 p10 (! c11 p11)))
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+(petri (? c15 p15 (! c16 p16)))
+(petri (? c16 p16 (! c17 p17)))
+(petri (? c17 p17 (! c18 p18)))
+(petri (? c18 p18 (! c19 p19)))
+(petri (? c19 p19 (! c20 p20)))
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+(petri (? c325 p325 (! c326 p326)))
+(petri (? c326 p326 (! c327 p327)))
+(petri (? c327 p327 (! c328 p328)))
+(petri (? c328 p328 (! c329 p329)))
+(petri (? c329 p329 (! c330 p330)))
+(petri (? c330 p330 (! c331 p331)))
+(petri (? c331 p331 (! c332 p332)))
+(petri (? c332 p332 (! c333 p333)))
+(petri (? c333 p333 (! c334 p334)))
+(petri (? c334 p334 (! c335 p335)))
+(petri (? c335 p335 (! c336 p336)))
+(petri (? c336 p336 (! c337 p337)))
+(petri (? c337 p337 (! c338 p338)))
+(petri (? c338 p338 (! c339 p339)))
+(petri (? c339 p339 (! c340 p340)))
+(petri (? c340 p340 (! c341 p341)))
+(petri (? c341 p341 (! c342 p342)))
+(petri (? c342 p342 (! c343 p343)))
+(petri (? c343 p343 (! c344 p344)))
+(petri (? c344 p344 (! c345 p345)))
+(petri (? c345 p345 (! c346 p346)))
+(petri (? c346 p346 (! c347 p347)))
+(petri (? c347 p347 (! c348 p348)))
+(petri (? c348 p348 (! c349 p349)))
+(petri (? c349 p349 (! c350 p350)))
+(petri (? c350 p350 (! c351 p351)))
+(petri (? c351 p351 (! c352 p352)))
+(petri (? c352 p352 (! c353 p353)))
+(petri (? c353 p353 (! c354 p354)))
+(petri (? c354 p354 (! c355 p355)))
+(petri (? c355 p355 (! c356 p356)))
+(petri (? c356 p356 (! c357 p357)))
+(petri (? c357 p357 (! c358 p358)))
+(petri (? c358 p358 (! c359 p359)))
+(petri (? c359 p359 (! c360 p360)))
+(petri (? c360 p360 (! c361 p361)))
+(petri (? c361 p361 (! c362 p362)))
+(petri (? c362 p362 (! c363 p363)))
+(petri (? c363 p363 (! c364 p364)))
+(petri (? c364 p364 (! c365 p365)))
+(petri (? c365 p365 (! c366 p366)))
+(petri (? c366 p366 (! c367 p367)))
+(petri (? c367 p367 (! c368 p368)))
+(petri (? c368 p368 (! c369 p369)))
+(petri (? c369 p369 (! c370 p370)))
+(petri (? c370 p370 (! c371 p371)))
+(petri (? c371 p371 (! c372 p372)))
+(petri (? c372 p372 (! c373 p373)))
+(petri (? c373 p373 (! c374 p374)))
+(petri (? c374 p374 (! c375 p375)))
+(petri (? c375 p375 (! c376 p376)))
+(petri (? c376 p376 (! c377 p377)))
+(petri (? c377 p377 (! c378 p378)))
+(petri (? c378 p378 (! c379 p379)))
+(petri (? c379 p379 (! c380 p380)))
+(petri (? c380 p380 (! c381 p381)))
+(petri (? c381 p381 (! c382 p382)))
+(petri (? c382 p382 (! c383 p383)))
+(petri (? c383 p383 (! c384 p384)))
+(petri (? c384 p384 (! c385 p385)))
+(petri (? c385 p385 (! c386 p386)))
+(petri (? c386 p386 (! c387 p387)))
+(petri (? c387 p387 (! c388 p388)))
+(petri (? c388 p388 (! c389 p389)))
+(petri (? c389 p389 (! c390 p390)))
+(petri (? c390 p390 (! c391 p391)))
+(petri (? c391 p391 (! c392 p392)))
+(petri (? c392 p392 (! c393 p393)))
+(petri (? c393 p393 (! c394 p394)))
+(petri (? c394 p394 (! c395 p395)))
+(petri (? c395 p395 (! c396 p396)))
+(petri (? c396 p396 (! c397 p397)))
+(petri (? c397 p397 (! c398 p398)))
+(petri (? c398 p398 (! c399 p399)))
+(petri (? c399 p399 (! c400 p400)))
+(petri (! c0 p0))
+(dmsg (! c0 p0))
+(fuel (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S Z))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
+
+(exec (1 Z) (, (exec (1 $l) $p $t) (fuel (S $k))
+               (petri (? $c $pl $b)) (dmsg (! $c $pl)))
+            (O (+ (exec (1 (S $l)) $p $t)) (+ (petri $b)) (+ (dmsg $b))
+               (- (dmsg (! $c $pl))) (+ (fuel $k)) (- (fuel (S $k)))))
diff --git a/examples/transforms/pc3_naive.mm2 b/examples/transforms/pc3_naive.mm2
new file mode 100644
index 00000000..bd06184b
--- /dev/null
+++ b/examples/transforms/pc3_naive.mm2
@@ -0,0 +1,406 @@
+(petri (? c0 p0 (! c1 p1)))
+(petri (? c1 p1 (! c2 p2)))
+(petri (? c2 p2 (! c3 p3)))
+(petri (? c3 p3 (! c4 p4)))
+(petri (? c4 p4 (! c5 p5)))
+(petri (? c5 p5 (! c6 p6)))
+(petri (? c6 p6 (! c7 p7)))
+(petri (? c7 p7 (! c8 p8)))
+(petri (? c8 p8 (! c9 p9)))
+(petri (? c9 p9 (! c10 p10)))
+(petri (? c10 p10 (! c11 p11)))
+(petri (? c11 p11 (! c12 p12)))
+(petri (? c12 p12 (! c13 p13)))
+(petri (? c13 p13 (! c14 p14)))
+(petri (? c14 p14 (! c15 p15)))
+(petri (? c15 p15 (! c16 p16)))
+(petri (? c16 p16 (! c17 p17)))
+(petri (? c17 p17 (! c18 p18)))
+(petri (? c18 p18 (! c19 p19)))
+(petri (? c19 p19 (! c20 p20)))
+(petri (? c20 p20 (! c21 p21)))
+(petri (? c21 p21 (! c22 p22)))
+(petri (? c22 p22 (! c23 p23)))
+(petri (? c23 p23 (! c24 p24)))
+(petri (? c24 p24 (! c25 p25)))
+(petri (? c25 p25 (! c26 p26)))
+(petri (? c26 p26 (! c27 p27)))
+(petri (? c27 p27 (! c28 p28)))
+(petri (? c28 p28 (! c29 p29)))
+(petri (? c29 p29 (! c30 p30)))
+(petri (? c30 p30 (! c31 p31)))
+(petri (? c31 p31 (! c32 p32)))
+(petri (? c32 p32 (! c33 p33)))
+(petri (? c33 p33 (! c34 p34)))
+(petri (? c34 p34 (! c35 p35)))
+(petri (? c35 p35 (! c36 p36)))
+(petri (? c36 p36 (! c37 p37)))
+(petri (? c37 p37 (! c38 p38)))
+(petri (? c38 p38 (! c39 p39)))
+(petri (? c39 p39 (! c40 p40)))
+(petri (? c40 p40 (! c41 p41)))
+(petri (? c41 p41 (! c42 p42)))
+(petri (? c42 p42 (! c43 p43)))
+(petri (? c43 p43 (! c44 p44)))
+(petri (? c44 p44 (! c45 p45)))
+(petri (? c45 p45 (! c46 p46)))
+(petri (? c46 p46 (! c47 p47)))
+(petri (? c47 p47 (! c48 p48)))
+(petri (? c48 p48 (! c49 p49)))
+(petri (? c49 p49 (! c50 p50)))
+(petri (? c50 p50 (! c51 p51)))
+(petri (? c51 p51 (! c52 p52)))
+(petri (? c52 p52 (! c53 p53)))
+(petri (? c53 p53 (! c54 p54)))
+(petri (? c54 p54 (! c55 p55)))
+(petri (? c55 p55 (! c56 p56)))
+(petri (? c56 p56 (! c57 p57)))
+(petri (? c57 p57 (! c58 p58)))
+(petri (? c58 p58 (! c59 p59)))
+(petri (? c59 p59 (! c60 p60)))
+(petri (? c60 p60 (! c61 p61)))
+(petri (? c61 p61 (! c62 p62)))
+(petri (? c62 p62 (! c63 p63)))
+(petri (? c63 p63 (! c64 p64)))
+(petri (? c64 p64 (! c65 p65)))
+(petri (? c65 p65 (! c66 p66)))
+(petri (? c66 p66 (! c67 p67)))
+(petri (? c67 p67 (! c68 p68)))
+(petri (? c68 p68 (! c69 p69)))
+(petri (? c69 p69 (! c70 p70)))
+(petri (? c70 p70 (! c71 p71)))
+(petri (? c71 p71 (! c72 p72)))
+(petri (? c72 p72 (! c73 p73)))
+(petri (? c73 p73 (! c74 p74)))
+(petri (? c74 p74 (! c75 p75)))
+(petri (? c75 p75 (! c76 p76)))
+(petri (? c76 p76 (! c77 p77)))
+(petri (? c77 p77 (! c78 p78)))
+(petri (? c78 p78 (! c79 p79)))
+(petri (? c79 p79 (! c80 p80)))
+(petri (? c80 p80 (! c81 p81)))
+(petri (? c81 p81 (! c82 p82)))
+(petri (? c82 p82 (! c83 p83)))
+(petri (? c83 p83 (! c84 p84)))
+(petri (? c84 p84 (! c85 p85)))
+(petri (? c85 p85 (! c86 p86)))
+(petri (? c86 p86 (! c87 p87)))
+(petri (? c87 p87 (! c88 p88)))
+(petri (? c88 p88 (! c89 p89)))
+(petri (? c89 p89 (! c90 p90)))
+(petri (? c90 p90 (! c91 p91)))
+(petri (? c91 p91 (! c92 p92)))
+(petri (? c92 p92 (! c93 p93)))
+(petri (? c93 p93 (! c94 p94)))
+(petri (? c94 p94 (! c95 p95)))
+(petri (? c95 p95 (! c96 p96)))
+(petri (? c96 p96 (! c97 p97)))
+(petri (? c97 p97 (! c98 p98)))
+(petri (? c98 p98 (! c99 p99)))
+(petri (? c99 p99 (! c100 p100)))
+(petri (? c100 p100 (! c101 p101)))
+(petri (? c101 p101 (! c102 p102)))
+(petri (? c102 p102 (! c103 p103)))
+(petri (? c103 p103 (! c104 p104)))
+(petri (? c104 p104 (! c105 p105)))
+(petri (? c105 p105 (! c106 p106)))
+(petri (? c106 p106 (! c107 p107)))
+(petri (? c107 p107 (! c108 p108)))
+(petri (? c108 p108 (! c109 p109)))
+(petri (? c109 p109 (! c110 p110)))
+(petri (? c110 p110 (! c111 p111)))
+(petri (? c111 p111 (! c112 p112)))
+(petri (? c112 p112 (! c113 p113)))
+(petri (? c113 p113 (! c114 p114)))
+(petri (? c114 p114 (! c115 p115)))
+(petri (? c115 p115 (! c116 p116)))
+(petri (? c116 p116 (! c117 p117)))
+(petri (? c117 p117 (! c118 p118)))
+(petri (? c118 p118 (! c119 p119)))
+(petri (? c119 p119 (! c120 p120)))
+(petri (? c120 p120 (! c121 p121)))
+(petri (? c121 p121 (! c122 p122)))
+(petri (? c122 p122 (! c123 p123)))
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+(petri (? c124 p124 (! c125 p125)))
+(petri (? c125 p125 (! c126 p126)))
+(petri (? c126 p126 (! c127 p127)))
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+(petri (? c129 p129 (! c130 p130)))
+(petri (? c130 p130 (! c131 p131)))
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+(petri (? c132 p132 (! c133 p133)))
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+(petri (? c135 p135 (! c136 p136)))
+(petri (? c136 p136 (! c137 p137)))
+(petri (? c137 p137 (! c138 p138)))
+(petri (? c138 p138 (! c139 p139)))
+(petri (? c139 p139 (! c140 p140)))
+(petri (? c140 p140 (! c141 p141)))
+(petri (? c141 p141 (! c142 p142)))
+(petri (? c142 p142 (! c143 p143)))
+(petri (? c143 p143 (! c144 p144)))
+(petri (? c144 p144 (! c145 p145)))
+(petri (? c145 p145 (! c146 p146)))
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+(petri (? c157 p157 (! c158 p158)))
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+(petri (? c160 p160 (! c161 p161)))
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+(petri (? c163 p163 (! c164 p164)))
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+(petri (? c165 p165 (! c166 p166)))
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+(petri (? c167 p167 (! c168 p168)))
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+(petri (? c169 p169 (! c170 p170)))
+(petri (? c170 p170 (! c171 p171)))
+(petri (? c171 p171 (! c172 p172)))
+(petri (? c172 p172 (! c173 p173)))
+(petri (? c173 p173 (! c174 p174)))
+(petri (? c174 p174 (! c175 p175)))
+(petri (? c175 p175 (! c176 p176)))
+(petri (? c176 p176 (! c177 p177)))
+(petri (? c177 p177 (! c178 p178)))
+(petri (? c178 p178 (! c179 p179)))
+(petri (? c179 p179 (! c180 p180)))
+(petri (? c180 p180 (! c181 p181)))
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+(petri (? c183 p183 (! c184 p184)))
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+(petri (? c185 p185 (! c186 p186)))
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+(petri (? c205 p205 (! c206 p206)))
+(petri (? c206 p206 (! c207 p207)))
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+(petri (? c208 p208 (! c209 p209)))
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+(petri (? c232 p232 (! c233 p233)))
+(petri (? c233 p233 (! c234 p234)))
+(petri (? c234 p234 (! c235 p235)))
+(petri (? c235 p235 (! c236 p236)))
+(petri (? c236 p236 (! c237 p237)))
+(petri (? c237 p237 (! c238 p238)))
+(petri (? c238 p238 (! c239 p239)))
+(petri (? c239 p239 (! c240 p240)))
+(petri (? c240 p240 (! c241 p241)))
+(petri (? c241 p241 (! c242 p242)))
+(petri (? c242 p242 (! c243 p243)))
+(petri (? c243 p243 (! c244 p244)))
+(petri (? c244 p244 (! c245 p245)))
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+(petri (? c246 p246 (! c247 p247)))
+(petri (? c247 p247 (! c248 p248)))
+(petri (? c248 p248 (! c249 p249)))
+(petri (? c249 p249 (! c250 p250)))
+(petri (? c250 p250 (! c251 p251)))
+(petri (? c251 p251 (! c252 p252)))
+(petri (? c252 p252 (! c253 p253)))
+(petri (? c253 p253 (! c254 p254)))
+(petri (? c254 p254 (! c255 p255)))
+(petri (? c255 p255 (! c256 p256)))
+(petri (? c256 p256 (! c257 p257)))
+(petri (? c257 p257 (! c258 p258)))
+(petri (? c258 p258 (! c259 p259)))
+(petri (? c259 p259 (! c260 p260)))
+(petri (? c260 p260 (! c261 p261)))
+(petri (? c261 p261 (! c262 p262)))
+(petri (? c262 p262 (! c263 p263)))
+(petri (? c263 p263 (! c264 p264)))
+(petri (? c264 p264 (! c265 p265)))
+(petri (? c265 p265 (! c266 p266)))
+(petri (? c266 p266 (! c267 p267)))
+(petri (? c267 p267 (! c268 p268)))
+(petri (? c268 p268 (! c269 p269)))
+(petri (? c269 p269 (! c270 p270)))
+(petri (? c270 p270 (! c271 p271)))
+(petri (? c271 p271 (! c272 p272)))
+(petri (? c272 p272 (! c273 p273)))
+(petri (? c273 p273 (! c274 p274)))
+(petri (? c274 p274 (! c275 p275)))
+(petri (? c275 p275 (! c276 p276)))
+(petri (? c276 p276 (! c277 p277)))
+(petri (? c277 p277 (! c278 p278)))
+(petri (? c278 p278 (! c279 p279)))
+(petri (? c279 p279 (! c280 p280)))
+(petri (? c280 p280 (! c281 p281)))
+(petri (? c281 p281 (! c282 p282)))
+(petri (? c282 p282 (! c283 p283)))
+(petri (? c283 p283 (! c284 p284)))
+(petri (? c284 p284 (! c285 p285)))
+(petri (? c285 p285 (! c286 p286)))
+(petri (? c286 p286 (! c287 p287)))
+(petri (? c287 p287 (! c288 p288)))
+(petri (? c288 p288 (! c289 p289)))
+(petri (? c289 p289 (! c290 p290)))
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+(petri (? c296 p296 (! c297 p297)))
+(petri (? c297 p297 (! c298 p298)))
+(petri (? c298 p298 (! c299 p299)))
+(petri (? c299 p299 (! c300 p300)))
+(petri (? c300 p300 (! c301 p301)))
+(petri (? c301 p301 (! c302 p302)))
+(petri (? c302 p302 (! c303 p303)))
+(petri (? c303 p303 (! c304 p304)))
+(petri (? c304 p304 (! c305 p305)))
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+(petri (? c307 p307 (! c308 p308)))
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+(petri (? c309 p309 (! c310 p310)))
+(petri (? c310 p310 (! c311 p311)))
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+(petri (? c312 p312 (! c313 p313)))
+(petri (? c313 p313 (! c314 p314)))
+(petri (? c314 p314 (! c315 p315)))
+(petri (? c315 p315 (! c316 p316)))
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+(petri (? c317 p317 (! c318 p318)))
+(petri (? c318 p318 (! c319 p319)))
+(petri (? c319 p319 (! c320 p320)))
+(petri (? c320 p320 (! c321 p321)))
+(petri (? c321 p321 (! c322 p322)))
+(petri (? c322 p322 (! c323 p323)))
+(petri (? c323 p323 (! c324 p324)))
+(petri (? c324 p324 (! c325 p325)))
+(petri (? c325 p325 (! c326 p326)))
+(petri (? c326 p326 (! c327 p327)))
+(petri (? c327 p327 (! c328 p328)))
+(petri (? c328 p328 (! c329 p329)))
+(petri (? c329 p329 (! c330 p330)))
+(petri (? c330 p330 (! c331 p331)))
+(petri (? c331 p331 (! c332 p332)))
+(petri (? c332 p332 (! c333 p333)))
+(petri (? c333 p333 (! c334 p334)))
+(petri (? c334 p334 (! c335 p335)))
+(petri (? c335 p335 (! c336 p336)))
+(petri (? c336 p336 (! c337 p337)))
+(petri (? c337 p337 (! c338 p338)))
+(petri (? c338 p338 (! c339 p339)))
+(petri (? c339 p339 (! c340 p340)))
+(petri (? c340 p340 (! c341 p341)))
+(petri (? c341 p341 (! c342 p342)))
+(petri (? c342 p342 (! c343 p343)))
+(petri (? c343 p343 (! c344 p344)))
+(petri (? c344 p344 (! c345 p345)))
+(petri (? c345 p345 (! c346 p346)))
+(petri (? c346 p346 (! c347 p347)))
+(petri (? c347 p347 (! c348 p348)))
+(petri (? c348 p348 (! c349 p349)))
+(petri (? c349 p349 (! c350 p350)))
+(petri (? c350 p350 (! c351 p351)))
+(petri (? c351 p351 (! c352 p352)))
+(petri (? c352 p352 (! c353 p353)))
+(petri (? c353 p353 (! c354 p354)))
+(petri (? c354 p354 (! c355 p355)))
+(petri (? c355 p355 (! c356 p356)))
+(petri (? c356 p356 (! c357 p357)))
+(petri (? c357 p357 (! c358 p358)))
+(petri (? c358 p358 (! c359 p359)))
+(petri (? c359 p359 (! c360 p360)))
+(petri (? c360 p360 (! c361 p361)))
+(petri (? c361 p361 (! c362 p362)))
+(petri (? c362 p362 (! c363 p363)))
+(petri (? c363 p363 (! c364 p364)))
+(petri (? c364 p364 (! c365 p365)))
+(petri (? c365 p365 (! c366 p366)))
+(petri (? c366 p366 (! c367 p367)))
+(petri (? c367 p367 (! c368 p368)))
+(petri (? c368 p368 (! c369 p369)))
+(petri (? c369 p369 (! c370 p370)))
+(petri (? c370 p370 (! c371 p371)))
+(petri (? c371 p371 (! c372 p372)))
+(petri (? c372 p372 (! c373 p373)))
+(petri (? c373 p373 (! c374 p374)))
+(petri (? c374 p374 (! c375 p375)))
+(petri (? c375 p375 (! c376 p376)))
+(petri (? c376 p376 (! c377 p377)))
+(petri (? c377 p377 (! c378 p378)))
+(petri (? c378 p378 (! c379 p379)))
+(petri (? c379 p379 (! c380 p380)))
+(petri (? c380 p380 (! c381 p381)))
+(petri (? c381 p381 (! c382 p382)))
+(petri (? c382 p382 (! c383 p383)))
+(petri (? c383 p383 (! c384 p384)))
+(petri (? c384 p384 (! c385 p385)))
+(petri (? c385 p385 (! c386 p386)))
+(petri (? c386 p386 (! c387 p387)))
+(petri (? c387 p387 (! c388 p388)))
+(petri (? c388 p388 (! c389 p389)))
+(petri (? c389 p389 (! c390 p390)))
+(petri (? c390 p390 (! c391 p391)))
+(petri (? c391 p391 (! c392 p392)))
+(petri (? c392 p392 (! c393 p393)))
+(petri (? c393 p393 (! c394 p394)))
+(petri (? c394 p394 (! c395 p395)))
+(petri (? c395 p395 (! c396 p396)))
+(petri (? c396 p396 (! c397 p397)))
+(petri (? c397 p397 (! c398 p398)))
+(petri (? c398 p398 (! c399 p399)))
+(petri (? c399 p399 (! c400 p400)))
+(petri (! c0 p0))
+(fuel (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S Z))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
+
+(exec (1 Z) (, (exec (1 $l) $p $t) (fuel (S $k))
+               (petri (? $c $pl $b)) (petri (! $c $pl)))
+            (O (+ (exec (1 (S $l)) $p $t)) (+ (petri $b)) (+ (fuel $k)) (- (fuel (S $k)))))
diff --git a/kernel/src/leapfrog.rs b/kernel/src/leapfrog.rs
index fa4ab804..2a41340b 100644
--- a/kernel/src/leapfrog.rs
+++ b/kernel/src/leapfrog.rs
@@ -965,6 +965,24 @@ pub fn unify_join_zipper_partial(
     run_unify_join(map, factors, var_order, nvars, false).0
 }
 
+/// As [`unify_join_zipper_partial`], but under the projection cut: `cut_mask` names the variables
+/// whose value nothing downstream reads. TEST tooling -- it is how the cut's answers are compared
+/// against the enumeration they stand in for.
+#[cfg(test)]
+fn unify_join_zipper_cut(
+    map: &PathMap<()>,
+    factors: &[Factor],
+    var_order: &[usize],
+    nvars: usize,
+    cut_mask: u64,
+) -> BTreeSet<Vec<Option<Vec<u8>>>> {
+    let plan = join_plan(map, factors, var_order, nvars).expect("factors must flatten into steps");
+    let mut state = join_state(map, &plan, var_order, nvars);
+    state.cut_mask = cut_mask;
+    state.recurse(0);
+    state.out
+}
+
 /// As [`unify_join_zipper_partial`], but returns each answer as one variable-coordinated tuple
 /// encoding (query variables `0..nvars` in order, sharing one intro map), so a free variable that
 /// spans answer positions renders with coordinated NewVar/VarRef the way MORK's emit does.
@@ -1094,6 +1112,7 @@ fn join_state<'a>(
         on_match: None,
         loc_buf: Vec::new(),
         stopped: false,
+        cut_mask: 0,
 
         #[cfg(test)]
         out: BTreeSet::new(),
@@ -1134,11 +1153,13 @@ fn run_unify_join_stream_bindings(
     factors: &[Factor],
     var_order: &[usize],
     nvars: usize,
+    cut_mask: u64,
     on_match: &mut dyn FnMut(&Bindings, Expr) -> bool,
 ) {
     let plan = join_plan(map, factors, var_order, nvars)
         .expect("parsed factors must flatten into steps");
     let mut state = join_state(map, &plan, var_order, nvars);
+    state.cut_mask = cut_mask;
     state.on_match = Some(on_match);
     state.recurse(0);
 }
@@ -1319,6 +1340,7 @@ fn scan_subterm(body: Expr, at: usize, intro: &mut u8) -> Option<SubtermScan> {
 pub fn query_multi_leapfrog<F: FnMut(Result<&[u32], &Bindings>, Expr) -> bool>(
     map: &PathMap<()>,
     pat_expr: Expr,
+    cut_mask: u64,
     mut effect: F,
 ) -> usize {
     // The join owns every body the engine hands it, so parsing is a precondition rather than a
@@ -1355,7 +1377,7 @@ pub fn query_multi_leapfrog<F: FnMut(Result<&[u32], &Bindings>, Expr) -> bool>(
         // per-answer allocation of the emit path (a BTreeMap deep clone) is gone.
         effect(Err(bindings), loc)
     };
-    run_unify_join_stream_bindings(map, &factors, &var_order, nvars, &mut on_match);
+    run_unify_join_stream_bindings(map, &factors, &var_order, nvars, cut_mask, &mut on_match);
     candidate
 }
 
@@ -1456,6 +1478,10 @@ struct UnifyJoin<'a> {
     /// fact as the stock contract's `loc`) here instead of collecting rows, and a `false` return
     /// stops the search. The engine dispatch uses this.
     on_match: Option<&'a mut dyn FnMut(&Bindings, Expr) -> bool>,
+    /// Body variables whose value nothing downstream reads, as
+    /// [`crate::space::Space::projection_cut_mask`] computed it. Zero for every caller with no
+    /// template to project through, which is the unchanged enumeration.
+    cut_mask: u64,
     /// Scratch for the streamed `loc`: factor 0's stored fact bytes, refilled per accepted
     /// assignment so the stream costs no allocation per answer.
     loc_buf: Vec<u8>,
@@ -1584,6 +1610,10 @@ impl UnifyJoin<'_> {
         // The leapfrog principle: lead with the smallest domain so the leading factor enumerates
         // few candidates and the rest seek. This is what makes a selective factor, say (e a $y)
         // with a few edges, drive the join instead of the whole relation.
+        if parts.len() == 1 && v < 64 && (self.cut_mask >> v) & 1 == 1 {
+            self.consume_lead_cut(&parts, 0, v, i);
+            return;
+        }
         self.rank_parts(&mut parts);
         let nr = self.partition_restrictors(&mut parts);
         self.consume_lead(&parts, nr, v, i);
@@ -2105,6 +2135,61 @@ impl UnifyJoin<'_> {
         self.free_bufs.push(buf);
     }
 
+    /// The projection cut, as its OWN path: `v` is a singleton nothing downstream reads, so one
+    /// witness stands for its whole domain. Kept separate from [`Self::consume_lead`] so that the
+    /// enumerating path keeps the exact code it had -- a `cut` branch inside the candidate fill's
+    /// loops measured 6% on counter_machine, which is all fill and no cut.
+    ///
+    /// If that one witness does not match, the level re-runs as a full enumeration, so the cut can
+    /// only ever drop a DUPLICATE answer, never the last one.
+    fn consume_lead_cut(&mut self, parts: &[usize], nr: usize, v: usize, i: usize) {
+        if self.stopped {
+            return;
+        }
+        let f = parts[0];
+        let pattern = self.query_var_env(v);
+        let free_key = self
+            .deref_env(pattern)
+            .var_opt()
+            .expect("the lead level runs only for a still-free join variable");
+        let mut buf = self.free_bufs.pop().unwrap_or_default();
+        {
+            // One candidate, wherever the column's enumeration starts.
+            let cur = &mut self.cursors[f];
+            cur.first();
+            if let Some(k) = cur.key() {
+                let vars = cur.key_var_counts();
+                buf.push_from(k, vars);
+            }
+            cur.reset_to_floor();
+        }
+        let mut matched = false;
+        if buf.len > 0 {
+            let cand = &buf.entries[0];
+            let mut cont = |this: &mut Self| {
+                matched = true;
+                this.next_step[f] += 1;
+                this.consume_var_parts(&parts[1..], 0, v, i);
+                this.next_step[f] -= 1;
+            };
+            let vars = buf.meta[0];
+            if vars.1 == 0 {
+                let data_env = self.data_env_for(f, cand, vars);
+                let previous = self.bindings.insert(free_key, data_env);
+                debug_assert!(previous.is_none(), "deref ended at a bound var");
+                self.with_bound_path_bytes(f, cand, 0, &mut cont);
+                self.bindings.remove(&free_key);
+            } else {
+                self.match_candidate(f, pattern, cand, vars, &mut cont);
+            }
+        }
+        buf.len = 0;
+        self.free_bufs.push(buf);
+        if !matched && !self.stopped {
+            self.consume_lead(parts, nr, v, i);
+        }
+    }
+
     /// Consume the confirmed column of each restrictor in turn, then continue. The mutual seek
     /// established that `value` -- a ground symbol -- is stored at this column and that the column
     /// holds no stored variable, so `consume_col` would seek to exactly this value, bind it with no
@@ -2566,6 +2651,67 @@ mod tests {
         v
     }
 
+    /// The projection cut must answer exactly what the enumeration answers, once the variable
+    /// nobody reads is projected away -- and it must actually be doing something, which the
+    /// uncut row count pins.
+    #[test]
+    fn the_projection_cut_keeps_every_answer_it_is_allowed_to_lose() {
+        let mut map = PathMap::<()>::new();
+        map.insert(&nest("r", &[sym("a")]), ());
+        map.insert(&nest("r", &[sym("b")]), ());
+        // `a` witnesses four values of the don't-care column, `b` exactly one: the cut has to
+        // collapse the four without losing `b`, whose only witness is the last one.
+        for w in ["p", "q", "s", "t"] {
+            map.insert(&nest("s", &[sym("a"), sym(w)]), ());
+        }
+        map.insert(&nest("s", &[sym("b"), sym("t")]), ());
+
+        // (, (r $x) (s $x $_)) -- $x is 0, the don't-care is 1.
+        let body = conj(&[
+            nest("r", &[new_var()]),
+            nest("s", &[var_ref(0), new_var()]),
+        ]);
+        let be = Expr::from_slice(&body);
+        let (factors, nvars) = parse_body_factors(&be).unwrap();
+        let var_order: Vec<usize> = (0..nvars).collect();
+        assert_eq!(nvars, 2);
+
+        let full = unify_join_zipper_cut(&map, &factors, &var_order, nvars, 0);
+        let cut = unify_join_zipper_cut(&map, &factors, &var_order, nvars, 1 << 1);
+
+        // The cut is not vacuous: the enumeration answers five rows, the cut two.
+        assert_eq!(full.len(), 5);
+        assert_eq!(cut.len(), 2);
+        // Projected on the variable anything downstream can actually read, they agree.
+        let project = |rows: &BTreeSet<Vec<Option<Vec<u8>>>>| -> BTreeSet<Option<Vec<u8>>> {
+            rows.iter().map(|row| row[0].clone()).collect()
+        };
+        assert_eq!(project(&cut), project(&full));
+        assert_eq!(project(&cut).len(), 2);
+    }
+
+    /// The mask is computed in `space.rs` over the body's bytes and indexed in the join by the id
+    /// `parse_body_factors` assigns. Both number variables by first occurrence; this pins that
+    /// they agree, because a disagreement would silently cut the WRONG variable.
+    #[test]
+    fn the_masks_variable_numbering_is_the_joins_numbering() {
+        let body = conj(&[
+            nest("r", &[new_var(), new_var()]),
+            nest("s", &[var_ref(1), new_var()]),
+        ]);
+        let be = Expr::from_slice(&body);
+        let (factors, nvars) = parse_body_factors(&be).unwrap();
+        assert_eq!(nvars, 3);
+        // The join reads the third variable as the second ARGUMENT of factor 1 ...
+        // Column 0 is the relation head, so the second argument is `cols[2]`.
+        let FactorColumn::Var(last) = factors[1].cols[2] else { panic!("expected a join variable") };
+        assert_eq!(last, 2);
+        // ... and the mask, given a template that reads only the first two, names that same one.
+        let tpl = nest("out", &[var_ref(0), var_ref(1)]);
+        let mask = crate::space::Space::projection_cut_mask(be, &[Expr::from_slice(&tpl)]);
+        assert_eq!(mask, 1 << last);
+    }
+
     #[test]
     fn safe_body_routes_flat_ground_answers() {
         let mut map = PathMap::<()>::new();
diff --git a/kernel/src/space.rs b/kernel/src/space.rs
index df99a3a6..ddda8fa0 100644
--- a/kernel/src/space.rs
+++ b/kernel/src/space.rs
@@ -109,8 +109,28 @@ pub(crate) const VARS: [u64; 4] = {
 // - `references` can be elided by not putting the virtual $ Expr's on the `stack` such that _k maps directly to the indices
 // - keeping a needle instead of a stack to avoid the `reverse` (would also create the opportunity to be even more lazy about instruction gen)
 // - use descend_to and re-evaluated the added sub-path to do much better on long paths
+/// Descend the FIRST complete subterm below the focus, byte by byte along the leftmost path,
+/// and report how many bytes that took (0 if the focus is a dead end). Every path stored in the
+/// trie spells a complete expression, so the leftmost walk always closes the subterm it opened --
+/// there is nothing to backtrack. On a ProductZipper the descent also crosses the factor
+/// boundary the moment the subterm ends on a leaf, which is exactly the force-enroll this cut
+/// wants: the next factor engages without the current one being enumerated first.
+fn descend_first_subterm<Z : ZipperMoving + Zipper>(loc: &mut Z) -> usize {
+    let (mut owed, mut payload) = (1u32, 0u32);
+    let mut n = 0usize;
+    while owed > 0 || payload > 0 {
+        if !loc.descend_first_byte() {
+            loc.ascend(n);
+            return 0;
+        }
+        n += 1;
+        mork_expr::subterm_parse_step(*loc.path().last().unwrap(), &mut owed, &mut payload);
+    }
+    n
+}
+
 fn coreferential_transition<Z : ZipperProduct, F: FnMut(&mut Z, u64) -> ()>(
-    loc: &mut Z, mut stack: &mut Vec<ExprEnv>, references: &mut Vec<u32>, var_facts: u64, f: &mut F) {
+    loc: &mut Z, mut stack: &mut Vec<ExprEnv>, references: &mut Vec<u32>, var_facts: u64, cut_mask: u64, f: &mut F) {
     macro_rules! vs {
         ($e:expr, $nv:expr) => {{
             let m = loc.child_mask().and(&ByteMask(VARS));
@@ -133,7 +153,7 @@ fn coreferential_transition<Z : ZipperProduct, F: FnMut(&mut Z, u64) -> ()>(
                 loc.descend_to_byte(b);
                 debug_assert!(loc.path_exists());
                 let vf = var_facts | (1u64 << loc.focus_factor().min(63));
-                coreferential_transition(loc, stack, references, vf, f);
+                coreferential_transition(loc, stack, references, vf, cut_mask, f);
                 if !loc.ascend_byte() { unreachable_unchecked() };
             }
         }};
@@ -158,6 +178,21 @@ fn coreferential_transition<Z : ZipperProduct, F: FnMut(&mut Z, u64) -> ()>(
                         Some((idx, prev))
                     } else { None };
 
+                    // Nothing downstream reads this variable's value and nothing after it in
+                    // the conjunct depends on the choice, so one witnessing subterm stands for
+                    // the whole subtrie: take the leftmost and move on instead of enumerating
+                    // every variable, size class and arity below this position.
+                    if e.n == 0 && e.v < 64 && (cut_mask >> e.v) & 1 == 1 {
+                        let n = descend_first_subterm(loc);
+                        if n > 0 {
+                            coreferential_transition(loc, stack, references, var_facts, cut_mask, f);
+                            loc.ascend(n);
+                        }
+                        if let Some((idx, prev)) = restore { references[idx] = prev; }
+                        stack.push(e);
+                        return;
+                    }
+
                     vs!(e, true);
 
                     let m = loc.child_mask().and(&ByteMask(SIZES));
@@ -168,7 +203,7 @@ fn coreferential_transition<Z : ZipperProduct, F: FnMut(&mut Z, u64) -> ()>(
                         debug_assert!(loc.path_exists());
                         if !loc.descend_first_k_path(size as _) { unreachable_unchecked() }
                         loop {
-                            coreferential_transition(loc, stack, references, var_facts, f);   
+                            coreferential_transition(loc, stack, references, var_facts, cut_mask, f);   
                             if !loc.to_next_k_path(size as _) { break }
                         }
                         if !loc.ascend_byte() { unreachable_unchecked() }
@@ -183,7 +218,7 @@ fn coreferential_transition<Z : ZipperProduct, F: FnMut(&mut Z, u64) -> ()>(
                         static nv: u8 = item_byte(Tag::NewVar);
                         let ol = stack.len();
                         for _ in 0..a { stack.push(ExprEnv::new(255, Expr { ptr: ((&nv) as *const u8).cast_mut() })) }
-                        coreferential_transition(loc, stack, references, var_facts, f);
+                        coreferential_transition(loc, stack, references, var_facts, cut_mask, f);
                         stack.truncate(ol);
                         if !loc.ascend_byte() { unreachable_unchecked() };
                     }
@@ -209,14 +244,14 @@ fn coreferential_transition<Z : ZipperProduct, F: FnMut(&mut Z, u64) -> ()>(
                     };
                     stack.push(addition);
                     vs!(e, false);
-                    coreferential_transition(loc, stack, references, var_facts, f);
+                    coreferential_transition(loc, stack, references, var_facts, cut_mask, f);
                     stack.pop();
                 }
                 Tag::SymbolSize(size) => {
                     vs!(e, false);
                     if loc.descend_to_existing_byte(e_byte) {
                         if loc.descend_to_check(&*slice_from_raw_parts(e.base.ptr.byte_add(e.offset as usize + 1), size as usize)) {
-                            coreferential_transition(loc, stack, references, var_facts, f);
+                            coreferential_transition(loc, stack, references, var_facts, cut_mask, f);
                         }
                         loc.ascend((size as usize) + 1); // The expression length + the e_byte
                     }
@@ -227,7 +262,7 @@ fn coreferential_transition<Z : ZipperProduct, F: FnMut(&mut Z, u64) -> ()>(
                         let stackl = stack.len();
                         e.args(&mut stack);
                         stack[stackl..].reverse();
-                        coreferential_transition(loc, stack, references, var_facts, f);
+                        coreferential_transition(loc, stack, references, var_facts, cut_mask, f);
                         stack.truncate(stack.len() - arity as usize);
                         loc.ascend_byte();
                     }
@@ -1098,22 +1133,128 @@ impl Space {
     /// which `query_multi` handles (or fails on) exactly as it always has, plus the encoding
     /// pathologies `parse_body_factors` rejects (a `VarRef` naming a variable the body never
     /// introduced, or more than `u8::MAX` variables).
-    pub fn query_multi_dispatch<F : FnMut(Result<&[u32], &Bindings>, Expr) -> bool>(btm: &PathMap<()>, pat_expr: Expr, mut effect: F) -> usize {
+    /// The body variables whose VALUE nothing downstream can observe: no template reads them,
+    /// the body mentions them exactly once, and they sit in their conjunct's TRAILING run.
+    /// Returned as a bitmask over the body's variable numbering (`NewVar`s in first-occurrence
+    /// order), the numbering both engines index by.
+    ///
+    /// Anything earlier in a conjunct decides which subtrie the later columns are drawn from, so
+    /// pinning it would drop answers rather than duplicates -- `(s (f $_) $y)` must keep
+    /// enumerating `$_` while `(s $y (f $_))` need not.
+    ///
+    /// This runs on every transform, so it is one allocation-free pass driven by the encoding's
+    /// own [`mork_expr::subterm_parse_step`], and it does not read the templates AT ALL unless
+    /// the body offers a candidate a template could disqualify. That is what keeps a body with
+    /// nothing to cut -- three quarters of counter_machine's -- from paying for a template walk.
+    pub fn projection_cut_mask(pat_expr: Expr, templates: &[Expr]) -> u64 {
+        let pb = unsafe { pat_expr.span().as_ref().unwrap() };
+        if pb.is_empty() { return 0 }
+        let Tag::Arity(nargs) = byte_item(pb[0]) else { return 0 };
+
+        // Pass one over the body: count every variable's mentions, and record per conjunct how
+        // long its trailing run of `NewVar`s is and how many variables its end had numbered.
+        let mut occ = [0u32; 64];
+        let mut nv = 0u16;
+        let mut runs = [(0u8, 0u16); 64];
+        let mut any_run = false;
+        let mut i = 1usize;
+        for c in 0..(nargs as usize).min(64) {
+            let (mut owed, mut payload) = (1u32, 0u32);
+            let mut run = 0u8;
+            while owed > 0 && i < pb.len() {
+                let b = pb[i];
+                let head = payload == 0;
+                mork_expr::subterm_parse_step(b, &mut owed, &mut payload);
+                i += 1;
+                // A symbol's payload is skipped in one step rather than stepped through, so this
+                // walk is per ITEM rather than per byte.
+                if payload > 0 {
+                    i += payload as usize;
+                    payload = 0;
+                }
+                if !head { continue }
+                match byte_item(b) {
+                    Tag::NewVar => {
+                        if nv < 64 { occ[nv as usize] += 1 }
+                        nv = nv.saturating_add(1);
+                        run = run.saturating_add(1);
+                        continue;
+                    }
+                    Tag::VarRef(r) => { if (r as usize) < 64 { occ[r as usize] += 1 } }
+                    _ => {}
+                }
+                run = 0;
+            }
+            runs[c] = (run, nv);
+            any_run |= run > 0;
+        }
+        if !any_run { return 0 }
+
+        // A trailing run exists, but only a variable mentioned ONCE can be cut. If nothing
+        // survives that test, the templates never need reading.
+        let mut candidates = 0u64;
+        for c in 0..(nargs as usize).min(64) {
+            let (run, end) = runs[c];
+            for k in 0..run as usize {
+                let Some(v) = (end as usize).checked_sub(1 + k) else { break };
+                if v >= 64 || occ[v] != 1 { break }
+                candidates |= 1u64 << v;
+            }
+        }
+        if candidates == 0 { return 0 }
+
+        // Pass two, now earned: which of them does some template read?
+        let mut read = 0u64;
+        for t in templates.iter() {
+            let tb = unsafe { t.span().as_ref().unwrap() };
+            let mut j = 0usize;
+            while j < tb.len() {
+                match byte_item(tb[j]) {
+                    Tag::VarRef(r) => { if (r as usize) < 64 { read |= 1u64 << r } j += 1; }
+                    Tag::NewVar => j += 1,
+                    Tag::SymbolSize(size) => j += 1 + size as usize,
+                    Tag::Arity(_) => j += 1,
+                }
+            }
+            if read & candidates == candidates { return 0 }
+        }
+
+        // A read variable stops its conjunct's run at that point, not just for itself.
+        let mut mask = 0u64;
+        for c in 0..(nargs as usize).min(64) {
+            let (run, end) = runs[c];
+            for k in 0..run as usize {
+                let Some(v) = (end as usize).checked_sub(1 + k) else { break };
+                if v >= 64 || occ[v] != 1 || (read >> v) & 1 == 1 { break }
+                mask |= 1u64 << v;
+            }
+        }
+        mask
+    }
+
+    pub fn query_multi_dispatch<F : FnMut(Result<&[u32], &Bindings>, Expr) -> bool>(btm: &PathMap<()>, pat_expr: Expr, cut_mask: u64, mut effect: F) -> usize {
         // Which engine answers the space-to-space transform is a compile-time choice and nothing
         // more: with the `leapfrog` feature the join owns every body, and without it the module
         // does not exist. `query_multi` stays reachable for the paths that are not dispatched --
         // the pattern-directed dumps and the interpreted source/sink transforms.
         #[cfg(feature = "leapfrog")]
         {
-            crate::leapfrog::query_multi_leapfrog(btm, pat_expr, effect)
+            crate::leapfrog::query_multi_leapfrog(btm, pat_expr, cut_mask, effect)
         }
         #[cfg(not(feature = "leapfrog"))]
         {
-            Self::query_multi(btm, pat_expr, effect)
+            Self::query_multi_proj(btm, pat_expr, cut_mask, effect)
         }
     }
 
-    pub fn query_multi<F : FnMut(Result<&[u32], &Bindings>, Expr) -> bool>(btm: &PathMap<()>, pat_expr: Expr, mut effect: F) -> usize {
+    pub fn query_multi<F : FnMut(Result<&[u32], &Bindings>, Expr) -> bool>(btm: &PathMap<()>, pat_expr: Expr, effect: F) -> usize {
+        Self::query_multi_proj(btm, pat_expr, 0, effect)
+    }
+
+    /// [`Self::query_multi`] under the projection cut: `cut_mask` names the body variables whose
+    /// value nothing downstream reads, which the descent answers with one subterm instead of
+    /// every one. A zero mask is the unchanged walk.
+    pub fn query_multi_proj<F : FnMut(Result<&[u32], &Bindings>, Expr) -> bool>(btm: &PathMap<()>, pat_expr: Expr, cut_mask: u64, mut effect: F) -> usize {
         let pat_newvars = pat_expr.newvars();
         trace!(target: "query_multi", "pattern (newvars={}) {:?}", pat_newvars, serialize(unsafe { pat_expr.span().as_ref().unwrap() }));
         let n_factors = pat_expr.arity().unwrap() as usize;
@@ -1130,7 +1271,7 @@ impl Space {
         }));
         prz.reserve_buffers(1 << 32, 32);
 
-        Self::query_multi_raw(&mut prz, &pat_args[1..], effect)
+        Self::query_multi_raw_proj(&mut prz, &pat_args[1..], cut_mask, effect)
     }
 
     #[inline]
@@ -1257,9 +1398,15 @@ impl Space {
         }
     }
 
-    #[cfg(feature="no_search")]
+    /// The zero-mask wrapper every other caller keeps using: sinks, dumps and the interpreted
+    /// source/sink transforms are byte-for-byte the unchanged walk.
     #[inline(always)]
-    pub fn query_multi_raw<PZ : ZipperProduct, F : FnMut(Result<&[u32], &Bindings>, Expr) -> bool>(mut prz: &mut PZ, sources: &[ExprEnv], mut effect: F) -> usize {
+    pub fn query_multi_raw<PZ : ZipperProduct, F : FnMut(Result<&[u32], &Bindings>, Expr) -> bool>(prz: &mut PZ, sources: &[ExprEnv], effect: F) -> usize {
+        Self::query_multi_raw_proj(prz, sources, 0, effect)
+    }
+
+    #[cfg(feature="no_search")]
+    pub fn query_multi_raw_proj<PZ : ZipperProduct, F : FnMut(Result<&[u32], &Bindings>, Expr) -> bool>(mut prz: &mut PZ, sources: &[ExprEnv], cut_mask: u64, mut effect: F) -> usize {
         let mut candidate = 0;
         // One pair buffer for the whole enumeration: `unify` drains it, so a `clear` per
         // candidate makes it allocation-free after warmup.
@@ -1324,7 +1471,7 @@ impl Space {
 
     #[cfg(not(feature="no_search"))]
     #[inline(always)]
-    pub fn query_multi_raw<PZ : ZipperProduct, F : FnMut(Result<&[u32], &Bindings>, Expr) -> bool>(mut prz: &mut PZ, sources: &[ExprEnv], mut effect: F) -> usize {
+    pub fn query_multi_raw_proj<PZ : ZipperProduct, F : FnMut(Result<&[u32], &Bindings>, Expr) -> bool>(mut prz: &mut PZ, sources: &[ExprEnv], cut_mask: u64, mut effect: F) -> usize {
         let mut stack = sources[0..].iter().rev().cloned().collect::<Vec<_>>();
 
         let mut references: Vec<u32> = vec![];
@@ -1338,7 +1485,7 @@ impl Space {
 
         BREAK.with_borrow_mut(|a| {
             if unsafe { setjmp(a) == 0 } {
-                coreferential_transition(prz, &mut stack, unsafe { ((&references) as *const Vec<u32>).cast_mut().as_mut().unwrap() }, 0u64, &mut |loc, var_facts| {
+                coreferential_transition(prz, &mut stack, unsafe { ((&references) as *const Vec<u32>).cast_mut().as_mut().unwrap() }, 0u64, cut_mask, &mut |loc, var_facts| {
                     let e = Expr { ptr: loc.origin_path().as_ptr().cast_mut() };
                     trace!(target: "query_multi", "pi {:?}", loc.path_indices());
                     trace!(target: "query_multi", "at {:?}", e);
@@ -1475,6 +1622,11 @@ impl Space {
         let mut tpl_args = Vec::with_capacity(64);
         ExprEnv::new(0, tpl_expr).args(&mut tpl_args);
         let mut templates: Vec<_> = tpl_args[1..].iter().map(|ee| ee.subsexpr()).collect();
+        // Only the plain `,` -> `,` write form may cut. The cut drops DUPLICATE answers, which is
+        // invisible only to a sink idempotent in them, and the `O` form and the source/sink
+        // transforms can carry aggregating sinks -- Count, Sum, And, Head/Tail, the float
+        // reductions -- whose result is a function of how many answers arrive.
+        let cut_mask = Self::projection_cut_mask(pat_expr, &templates[..]);
         let mut template_prefixes: Vec<_> = templates.iter().map(|e| unsafe { e.prefix().unwrap_or_else(|x| x).as_ref().unwrap() }).collect();
         let mut subsumption = Self::prefix_subsumption(&template_prefixes[..]);
         let mut placements = subsumption.clone();
@@ -1520,7 +1672,7 @@ impl Space {
 
 
         let mut any_new = false;
-        let touched = Self::query_multi_dispatch(&read_copy, pat_expr, |refs_bindings, loc| 'query:{
+        let touched = Self::query_multi_dispatch(&read_copy, pat_expr, cut_mask, |refs_bindings, loc| 'query:{
             trace!(target: "transform", "data {}", serialize(unsafe { loc.span().as_ref().unwrap()}));
             unsafe { writes += template_prefixes.len(); }
             match refs_bindings {
@@ -2031,4 +2183,138 @@ impl Drop for Space {
             drop(z3.stdin.take())
         }
     }
-}
\ No newline at end of file
+}
+
+#[cfg(test)]
+mod projection_cut_tests {
+    use super::*;
+
+    fn sym(t: &str) -> Vec<u8> {
+        let mut v = vec![item_byte(Tag::SymbolSize(t.len() as u8))];
+        v.extend_from_slice(t.as_bytes());
+        v
+    }
+    fn raw_sym(payload: &[u8]) -> Vec<u8> {
+        let mut v = vec![item_byte(Tag::SymbolSize(payload.len() as u8))];
+        v.extend_from_slice(payload);
+        v
+    }
+    fn nest(parts: &[Vec<u8>]) -> Vec<u8> {
+        let mut v = vec![item_byte(Tag::Arity(parts.len() as u8))];
+        for p in parts { v.extend_from_slice(p) }
+        v
+    }
+    fn rel(name: &str, args: &[Vec<u8>]) -> Vec<u8> {
+        let mut parts = vec![sym(name)];
+        parts.extend_from_slice(args);
+        nest(&parts)
+    }
+    fn conj(factors: &[Vec<u8>]) -> Vec<u8> {
+        let mut parts = vec![sym(",")];
+        parts.extend_from_slice(factors);
+        nest(&parts)
+    }
+    fn nv() -> Vec<u8> { vec![item_byte(Tag::NewVar)] }
+    fn vr(i: u8) -> Vec<u8> { vec![item_byte(Tag::VarRef(i))] }
+
+    fn mask(body: &[u8], templates: &[Vec<u8>]) -> u64 {
+        let be = Expr::from_slice(body);
+        let ts: Vec<Expr> = templates.iter().map(|t| Expr::from_slice(&t[..])).collect();
+        Space::projection_cut_mask(be, &ts[..])
+    }
+
+    #[test]
+    fn trailing_singleton_no_template_reads_is_cut() {
+        // (, (r $x $y) (s $y $_))  ->  (out $x $y):  only $_ (index 2) is cuttable.
+        let body = conj(&[rel("r", &[nv(), nv()]), rel("s", &[vr(1), nv()])]);
+        let tpl = rel("out", &[vr(0), vr(1)]);
+        assert_eq!(mask(&body, &[tpl]), 1 << 2);
+    }
+
+    #[test]
+    fn a_variable_a_template_reads_is_never_cut() {
+        // The same body, but the template now reads $_ as well: nothing is cuttable.
+        let body = conj(&[rel("r", &[nv(), nv()]), rel("s", &[vr(1), nv()])]);
+        let tpl = rel("out", &[vr(0), vr(2)]);
+        assert_eq!(mask(&body, &[tpl]), 0);
+    }
+
+    #[test]
+    fn a_repeated_variable_is_never_cut() {
+        // $y and $z are join variables: no template reads them, but pinning one to a single
+        // value would change which tuples the OTHER factors can still match.
+        let body = conj(&[
+            rel("r", &[nv(), nv()]),
+            rel("s", &[vr(1), nv()]),
+            rel("t", &[vr(2)]),
+        ]);
+        let tpl = rel("out", &[vr(0)]);
+        assert_eq!(mask(&body, &[tpl]), 0);
+    }
+
+    #[test]
+    fn only_the_conjuncts_trailing_run_is_cut() {
+        // (, (s (f $_) $y)): $_ decides the subtrie $y is drawn from, so it must keep
+        // enumerating even though nothing reads it.
+        let body = conj(&[rel("s", &[rel("f", &[nv()]), nv()])]);
+        let tpl = rel("out", &[vr(1)]);
+        assert_eq!(mask(&body, &[tpl]), 0);
+        // Swapped, the same variable IS the trailing item -- nested inside `(f ...)` or not.
+        let body = conj(&[rel("s", &[nv(), rel("f", &[nv()])])]);
+        let tpl = rel("out", &[vr(0)]);
+        assert_eq!(mask(&body, &[tpl]), 1 << 1);
+    }
+
+    #[test]
+    fn a_run_of_trailing_dont_cares_is_cut_whole() {
+        let body = conj(&[rel("s", &[nv(), nv(), nv()])]);
+        let tpl = rel("out", &[vr(0)]);
+        assert_eq!(mask(&body, &[tpl]), (1 << 1) | (1 << 2));
+    }
+
+    #[test]
+    fn every_template_is_consulted() {
+        // The second template is the only reader of $y: one template is not enough to conclude
+        // a variable is unread.
+        let body = conj(&[rel("r", &[nv(), nv()])]);
+        let first = rel("out", &[vr(0)]);
+        let second = rel("also", &[vr(1)]);
+        assert_eq!(mask(&body, &[first.clone()]), 1 << 1);
+        assert_eq!(mask(&body, &[first, second]), 0);
+    }
+
+    #[test]
+    fn a_symbol_payload_that_spells_a_variable_tag_is_not_read_as_one() {
+        // The payload carries the NewVar and VarRef tag bytes. Counting them as variables would
+        // shift the numbering and mark the wrong bit.
+        let poison = raw_sym(&[item_byte(Tag::NewVar), item_byte(Tag::VarRef(0))]);
+        let body = conj(&[rel("r", &[nv(), poison.clone()]), rel("s", &[vr(0), nv()])]);
+        let tpl = rel("out", &[vr(0)]);
+        assert_eq!(mask(&body, &[tpl]), 1 << 1);
+        // ... and in the template, where it would otherwise fake a read of variable 0.
+        let tpl_poison = rel("out", &[vr(1), poison]);
+        assert_eq!(mask(&body, &[tpl_poison]), 0);
+    }
+
+    #[test]
+    fn variables_past_the_encodings_bound_are_never_marked() {
+        // 68 variables across two conjuncts (arity itself caps at 63, so they cannot share one).
+        // The first conjunct's trailing run is nameable and gets marked down to the variable the
+        // template reads. The second conjunct ENDS in variables past bit 63, which the mask
+        // cannot name -- so its run stops dead at the first of them rather than wrapping a bit
+        // onto some other variable.
+        let low: Vec<Vec<u8>> = (0..34).map(|_| nv()).collect();
+        let high: Vec<Vec<u8>> = (0..34).map(|_| nv()).collect();
+        let body = conj(&[rel("r", &low), rel("s", &high)]);
+        let tpl = rel("out", &[vr(0)]);
+        let m = mask(&body, &[tpl]);
+        let expected: u64 = ((1u64 << 34) - 1) & !1; // bits 1..=33
+        assert_eq!(m, expected);
+    }
+
+    #[test]
+    fn a_body_with_no_variables_cuts_nothing() {
+        let body = conj(&[rel("r", &[sym("a")])]);
+        assert_eq!(mask(&body, &[rel("out", &[sym("b")])]), 0);
+    }
+}

From 8fd950afcb66197e63fb27643e1c4b58e8a70721 Mon Sep 17 00:00:00 2001
From: adamv-symbolica <adam.vandervorst@symbolica.ai>
Date: Wed, 19 Aug 2026 15:40:50 +0100
Subject: [PATCH 2/9] Generate the measured programs instead of checking in 2MB
 of facts

The decomposition, crafting, LTS and process-calculus programs were
committed with their generated fact data -- 78k lines. generate.py now
produces all of them, carrying only the rule text, and the directory is
32K.

Numbers move on this base: with #146 merged the naive process calculus
runs 4.7x faster than it did pre-rebase, so the incrementalization
uplift on an 800-long cascade reads 4.4x (delta) and 7.0x (consuming)
rather than 19.7x and 30.2x. The transforms still remove the same
quadratic; the baseline they are removing it from got faster. The other
families are unchanged: cyc 26x/28x, craft 6.7x/14.6x, clq 0.9x/7.1x.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
---
 examples/transforms/clq_naive.mm2    |  3603 -----
 examples/transforms/clq_staged.mm2   |  3604 -----
 examples/transforms/craft_naive.mm2  | 11806 ----------------
 examples/transforms/craft_staged.mm2 | 11805 ----------------
 examples/transforms/cyc_naive.mm2    |   901 --
 examples/transforms/cyc_staged.mm2   |   902 --
 examples/transforms/generate.py      |    47 +-
 examples/transforms/lts_delta.mm2    | 18011 -------------------------
 examples/transforms/lts_naive.mm2    | 18005 ------------------------
 examples/transforms/pc2_delta.mm2    |  4010 ------
 examples/transforms/pc2_naive.mm2    |  4006 ------
 examples/transforms/pc3_consume.mm2  |   408 -
 examples/transforms/pc3_delta.mm2    |   408 -
 examples/transforms/pc3_naive.mm2    |   406 -
 14 files changed, 46 insertions(+), 77876 deletions(-)
 delete mode 100644 examples/transforms/clq_naive.mm2
 delete mode 100644 examples/transforms/clq_staged.mm2
 delete mode 100644 examples/transforms/craft_naive.mm2
 delete mode 100644 examples/transforms/craft_staged.mm2
 delete mode 100644 examples/transforms/cyc_naive.mm2
 delete mode 100644 examples/transforms/cyc_staged.mm2
 delete mode 100644 examples/transforms/lts_delta.mm2
 delete mode 100644 examples/transforms/lts_naive.mm2
 delete mode 100644 examples/transforms/pc2_delta.mm2
 delete mode 100644 examples/transforms/pc2_naive.mm2
 delete mode 100644 examples/transforms/pc3_consume.mm2
 delete mode 100644 examples/transforms/pc3_delta.mm2
 delete mode 100644 examples/transforms/pc3_naive.mm2

diff --git a/examples/transforms/clq_naive.mm2 b/examples/transforms/clq_naive.mm2
deleted file mode 100644
index c544d17c..00000000
--- a/examples/transforms/clq_naive.mm2
+++ /dev/null
@@ -1,3603 +0,0 @@
-(edge n0 n1)
-(edge n0 n12)
-(edge n0 n21)
-(edge n0 n24)
-(edge n0 n25)
-(edge n0 n31)
-(edge n0 n33)
-(edge n0 n37)
-(edge n0 n43)
-(edge n0 n56)
-(edge n0 n58)
-(edge n0 n62)
-(edge n0 n67)
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-(edge n0 n83)
-(edge n0 n84)
-(edge n0 n100)
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-(edge n0 n103)
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-(edge n0 n114)
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-(edge n0 n125)
-(edge n0 n130)
-(edge n0 n135)
-(edge n0 n139)
-(edge n0 n155)
-(edge n0 n156)
-(edge n0 n157)
-(edge n0 n159)
-(edge n0 n164)
-(edge n0 n168)
-(edge n0 n182)
-(edge n0 n186)
-(edge n0 n191)
-(edge n0 n196)
-(edge n1 n8)
-(edge n1 n13)
-(edge n1 n19)
-(edge n1 n20)
-(edge n1 n22)
-(edge n1 n23)
-(edge n1 n28)
-(edge n1 n33)
-(edge n1 n46)
-(edge n1 n50)
-(edge n1 n54)
-(edge n1 n60)
-(edge n1 n61)
-(edge n1 n64)
-(edge n1 n66)
-(edge n1 n72)
-(edge n1 n78)
-(edge n1 n80)
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-(edge n1 n101)
-(edge n1 n106)
-(edge n1 n107)
-(edge n1 n108)
-(edge n1 n119)
-(edge n1 n123)
-(edge n1 n131)
-(edge n1 n135)
-(edge n1 n136)
-(edge n1 n145)
-(edge n1 n153)
-(edge n1 n160)
-(edge n1 n164)
-(edge n1 n166)
-(edge n1 n177)
-(edge n1 n179)
-(edge n1 n180)
-(edge n1 n187)
-(edge n1 n190)
-(edge n1 n192)
-(edge n1 n195)
-(edge n2 n8)
-(edge n2 n11)
-(edge n2 n17)
-(edge n2 n31)
-(edge n2 n32)
-(edge n2 n37)
-(edge n2 n42)
-(edge n2 n44)
-(edge n2 n46)
-(edge n2 n50)
-(edge n2 n60)
-(edge n2 n61)
-(edge n2 n64)
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-(edge n2 n84)
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-(edge n2 n152)
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-(edge n2 n186)
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-(edge n3 n9)
-(edge n3 n21)
-(edge n3 n29)
-(edge n3 n30)
-(edge n3 n41)
-(edge n3 n46)
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-(edge n3 n56)
-(edge n3 n61)
-(edge n3 n72)
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-(edge n3 n88)
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-(edge n3 n109)
-(edge n3 n111)
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-(edge n3 n147)
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-(edge n3 n157)
-(edge n3 n168)
-(edge n3 n169)
-(edge n3 n172)
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-(edge n3 n178)
-(edge n3 n187)
-(edge n3 n192)
-(edge n3 n197)
-(edge n4 n7)
-(edge n4 n9)
-(edge n4 n12)
-(edge n4 n21)
-(edge n4 n22)
-(edge n4 n25)
-(edge n4 n30)
-(edge n4 n37)
-(edge n4 n39)
-(edge n4 n41)
-(edge n4 n48)
-(edge n4 n51)
-(edge n4 n54)
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-(edge n4 n131)
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-(edge n4 n145)
-(edge n4 n147)
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-(edge n4 n156)
-(edge n4 n159)
-(edge n4 n164)
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-(edge n4 n179)
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-(edge n4 n186)
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-(edge n5 n7)
-(edge n5 n10)
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-(edge n5 n30)
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-(edge n5 n46)
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-
-(exec 9 (, (edge $x0 $x1) (edge $x0 $x2) (edge $x0 $x3) (edge $x1 $x2) (edge $x1 $x3) (edge $x2 $x3))
-        (, (c4 $x0 $x1 $x2 $x3)))
diff --git a/examples/transforms/clq_staged.mm2 b/examples/transforms/clq_staged.mm2
deleted file mode 100644
index e2f48df8..00000000
--- a/examples/transforms/clq_staged.mm2
+++ /dev/null
@@ -1,3604 +0,0 @@
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-
-(exec (1 0) (, (edge $x0 $x1) (edge $x0 $x2) (edge $x1 $x2)) (, (tri $x0 $x1 $x2)))
-(exec (1 1) (, (tri $x0 $x1 $x2) (edge $x0 $x3) (edge $x1 $x3) (edge $x2 $x3))
-            (, (c4 $x0 $x1 $x2 $x3)))
diff --git a/examples/transforms/craft_naive.mm2 b/examples/transforms/craft_naive.mm2
deleted file mode 100644
index cce81a42..00000000
--- a/examples/transforms/craft_naive.mm2
+++ /dev/null
@@ -1,11806 +0,0 @@
-(recipe r0 (numIngredients 2))
-(recipe r0 (result (id item0)))
-(recipe r0 (pattern 0 sx0))
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-(recipe r0 (key (sy0 ing0)))
-(recipe r0 (key (sx0 ing1)))
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-(recipe r0 (key (sy0 ing2)))
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-(recipe r0 (key (sy0 ing4)))
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-(recipe r0 (key (sy0 ing8)))
-(recipe r0 (key (sx0 ing9)))
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-(recipe r0 (key (sx0 ing10)))
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-(recipe r1 (key (sy1 ing14)))
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-(recipe r3 (numIngredients 2))
-(recipe r3 (result (id item3)))
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-(recipe r3 (key (sx3 ing10)))
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-(recipe r3 (key (sx3 ing11)))
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-(recipe r3 (key (sx3 ing12)))
-(recipe r3 (key (sy3 ing18)))
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-(recipe r3 (key (sx3 ing14)))
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-(recipe r4 (numIngredients 2))
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-(recipe r397 (key (sy397 ing189)))
-(recipe r397 (key (sx397 ing596)))
-(recipe r397 (key (sy397 ing190)))
-(recipe r397 (key (sx397 ing597)))
-(recipe r397 (key (sy397 ing191)))
-(recipe r397 (key (sx397 ing598)))
-(recipe r397 (key (sy397 ing192)))
-(recipe r397 (key (sx397 ing599)))
-(recipe r397 (key (sy397 ing193)))
-(recipe r397 (key (sx397 ing0)))
-(recipe r397 (key (sy397 ing194)))
-(recipe r397 (key (sx397 ing1)))
-(recipe r397 (key (sy397 ing195)))
-(recipe r397 (key (sx397 ing2)))
-(recipe r397 (key (sy397 ing196)))
-(recipe r398 (numIngredients 2))
-(recipe r398 (result (id item398)))
-(recipe r398 (pattern 0 sx398))
-(recipe r398 (pattern 1 sy398))
-(recipe r398 (key (sx398 ing594)))
-(recipe r398 (key (sy398 ing190)))
-(recipe r398 (key (sx398 ing595)))
-(recipe r398 (key (sy398 ing191)))
-(recipe r398 (key (sx398 ing596)))
-(recipe r398 (key (sy398 ing192)))
-(recipe r398 (key (sx398 ing597)))
-(recipe r398 (key (sy398 ing193)))
-(recipe r398 (key (sx398 ing598)))
-(recipe r398 (key (sy398 ing194)))
-(recipe r398 (key (sx398 ing599)))
-(recipe r398 (key (sy398 ing195)))
-(recipe r398 (key (sx398 ing0)))
-(recipe r398 (key (sy398 ing196)))
-(recipe r398 (key (sx398 ing1)))
-(recipe r398 (key (sy398 ing197)))
-(recipe r398 (key (sx398 ing2)))
-(recipe r398 (key (sy398 ing198)))
-(recipe r398 (key (sx398 ing3)))
-(recipe r398 (key (sy398 ing199)))
-(recipe r398 (key (sx398 ing4)))
-(recipe r398 (key (sy398 ing200)))
-(recipe r398 (key (sx398 ing5)))
-(recipe r398 (key (sy398 ing201)))
-(recipe r399 (numIngredients 2))
-(recipe r399 (result (id item399)))
-(recipe r399 (pattern 0 sx399))
-(recipe r399 (pattern 1 sy399))
-(recipe r399 (key (sx399 ing597)))
-(recipe r399 (key (sy399 ing195)))
-(recipe r399 (key (sx399 ing598)))
-(recipe r399 (key (sy399 ing196)))
-(recipe r399 (key (sx399 ing599)))
-(recipe r399 (key (sy399 ing197)))
-(recipe r399 (key (sx399 ing0)))
-(recipe r399 (key (sy399 ing198)))
-(recipe r399 (key (sx399 ing1)))
-(recipe r399 (key (sy399 ing199)))
-(recipe r399 (key (sx399 ing2)))
-(recipe r399 (key (sy399 ing200)))
-(recipe r399 (key (sx399 ing3)))
-(recipe r399 (key (sy399 ing201)))
-(recipe r399 (key (sx399 ing4)))
-(recipe r399 (key (sy399 ing202)))
-(recipe r399 (key (sx399 ing5)))
-(recipe r399 (key (sy399 ing203)))
-(recipe r399 (key (sx399 ing6)))
-(recipe r399 (key (sy399 ing204)))
-(recipe r399 (key (sx399 ing7)))
-(recipe r399 (key (sy399 ing205)))
-(recipe r399 (key (sx399 ing8)))
-(recipe r399 (key (sy399 ing206)))
-(inventory ing0)
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-
-(exec 9 (, (recipe $p (numIngredients 2)) (recipe $p (result (id $n)))
-           (recipe $p (pattern 0 $x)) (recipe $p (key ($x $xi)))
-           (recipe $p (pattern 1 $y)) (recipe $p (key ($y $yi)))
-           (inventory $xi) (inventory $yi))
-        (, (craftable $n)))
diff --git a/examples/transforms/craft_staged.mm2 b/examples/transforms/craft_staged.mm2
deleted file mode 100644
index 80536e62..00000000
--- a/examples/transforms/craft_staged.mm2
+++ /dev/null
@@ -1,11805 +0,0 @@
-(recipe r0 (numIngredients 2))
-(recipe r0 (result (id item0)))
-(recipe r0 (pattern 0 sx0))
-(recipe r0 (pattern 1 sy0))
-(recipe r0 (key (sx0 ing0)))
-(recipe r0 (key (sy0 ing0)))
-(recipe r0 (key (sx0 ing1)))
-(recipe r0 (key (sy0 ing1)))
-(recipe r0 (key (sx0 ing2)))
-(recipe r0 (key (sy0 ing2)))
-(recipe r0 (key (sx0 ing3)))
-(recipe r0 (key (sy0 ing3)))
-(recipe r0 (key (sx0 ing4)))
-(recipe r0 (key (sy0 ing4)))
-(recipe r0 (key (sx0 ing5)))
-(recipe r0 (key (sy0 ing5)))
-(recipe r0 (key (sx0 ing6)))
-(recipe r0 (key (sy0 ing6)))
-(recipe r0 (key (sx0 ing7)))
-(recipe r0 (key (sy0 ing7)))
-(recipe r0 (key (sx0 ing8)))
-(recipe r0 (key (sy0 ing8)))
-(recipe r0 (key (sx0 ing9)))
-(recipe r0 (key (sy0 ing9)))
-(recipe r0 (key (sx0 ing10)))
-(recipe r0 (key (sy0 ing10)))
-(recipe r0 (key (sx0 ing11)))
-(recipe r0 (key (sy0 ing11)))
-(recipe r1 (numIngredients 2))
-(recipe r1 (result (id item1)))
-(recipe r1 (pattern 0 sx1))
-(recipe r1 (pattern 1 sy1))
-(recipe r1 (key (sx1 ing3)))
-(recipe r1 (key (sy1 ing5)))
-(recipe r1 (key (sx1 ing4)))
-(recipe r1 (key (sy1 ing6)))
-(recipe r1 (key (sx1 ing5)))
-(recipe r1 (key (sy1 ing7)))
-(recipe r1 (key (sx1 ing6)))
-(recipe r1 (key (sy1 ing8)))
-(recipe r1 (key (sx1 ing7)))
-(recipe r1 (key (sy1 ing9)))
-(recipe r1 (key (sx1 ing8)))
-(recipe r1 (key (sy1 ing10)))
-(recipe r1 (key (sx1 ing9)))
-(recipe r1 (key (sy1 ing11)))
-(recipe r1 (key (sx1 ing10)))
-(recipe r1 (key (sy1 ing12)))
-(recipe r1 (key (sx1 ing11)))
-(recipe r1 (key (sy1 ing13)))
-(recipe r1 (key (sx1 ing12)))
-(recipe r1 (key (sy1 ing14)))
-(recipe r1 (key (sx1 ing13)))
-(recipe r1 (key (sy1 ing15)))
-(recipe r1 (key (sx1 ing14)))
-(recipe r1 (key (sy1 ing16)))
-(recipe r2 (numIngredients 2))
-(recipe r2 (result (id item2)))
-(recipe r2 (pattern 0 sx2))
-(recipe r2 (pattern 1 sy2))
-(recipe r2 (key (sx2 ing6)))
-(recipe r2 (key (sy2 ing10)))
-(recipe r2 (key (sx2 ing7)))
-(recipe r2 (key (sy2 ing11)))
-(recipe r2 (key (sx2 ing8)))
-(recipe r2 (key (sy2 ing12)))
-(recipe r2 (key (sx2 ing9)))
-(recipe r2 (key (sy2 ing13)))
-(recipe r2 (key (sx2 ing10)))
-(recipe r2 (key (sy2 ing14)))
-(recipe r2 (key (sx2 ing11)))
-(recipe r2 (key (sy2 ing15)))
-(recipe r2 (key (sx2 ing12)))
-(recipe r2 (key (sy2 ing16)))
-(recipe r2 (key (sx2 ing13)))
-(recipe r2 (key (sy2 ing17)))
-(recipe r2 (key (sx2 ing14)))
-(recipe r2 (key (sy2 ing18)))
-(recipe r2 (key (sx2 ing15)))
-(recipe r2 (key (sy2 ing19)))
-(recipe r2 (key (sx2 ing16)))
-(recipe r2 (key (sy2 ing20)))
-(recipe r2 (key (sx2 ing17)))
-(recipe r2 (key (sy2 ing21)))
-(recipe r3 (numIngredients 2))
-(recipe r3 (result (id item3)))
-(recipe r3 (pattern 0 sx3))
-(recipe r3 (pattern 1 sy3))
-(recipe r3 (key (sx3 ing9)))
-(recipe r3 (key (sy3 ing15)))
-(recipe r3 (key (sx3 ing10)))
-(recipe r3 (key (sy3 ing16)))
-(recipe r3 (key (sx3 ing11)))
-(recipe r3 (key (sy3 ing17)))
-(recipe r3 (key (sx3 ing12)))
-(recipe r3 (key (sy3 ing18)))
-(recipe r3 (key (sx3 ing13)))
-(recipe r3 (key (sy3 ing19)))
-(recipe r3 (key (sx3 ing14)))
-(recipe r3 (key (sy3 ing20)))
-(recipe r3 (key (sx3 ing15)))
-(recipe r3 (key (sy3 ing21)))
-(recipe r3 (key (sx3 ing16)))
-(recipe r3 (key (sy3 ing22)))
-(recipe r3 (key (sx3 ing17)))
-(recipe r3 (key (sy3 ing23)))
-(recipe r3 (key (sx3 ing18)))
-(recipe r3 (key (sy3 ing24)))
-(recipe r3 (key (sx3 ing19)))
-(recipe r3 (key (sy3 ing25)))
-(recipe r3 (key (sx3 ing20)))
-(recipe r3 (key (sy3 ing26)))
-(recipe r4 (numIngredients 2))
-(recipe r4 (result (id item4)))
-(recipe r4 (pattern 0 sx4))
-(recipe r4 (pattern 1 sy4))
-(recipe r4 (key (sx4 ing12)))
-(recipe r4 (key (sy4 ing20)))
-(recipe r4 (key (sx4 ing13)))
-(recipe r4 (key (sy4 ing21)))
-(recipe r4 (key (sx4 ing14)))
-(recipe r4 (key (sy4 ing22)))
-(recipe r4 (key (sx4 ing15)))
-(recipe r4 (key (sy4 ing23)))
-(recipe r4 (key (sx4 ing16)))
-(recipe r4 (key (sy4 ing24)))
-(recipe r4 (key (sx4 ing17)))
-(recipe r4 (key (sy4 ing25)))
-(recipe r4 (key (sx4 ing18)))
-(recipe r4 (key (sy4 ing26)))
-(recipe r4 (key (sx4 ing19)))
-(recipe r4 (key (sy4 ing27)))
-(recipe r4 (key (sx4 ing20)))
-(recipe r4 (key (sy4 ing28)))
-(recipe r4 (key (sx4 ing21)))
-(recipe r4 (key (sy4 ing29)))
-(recipe r4 (key (sx4 ing22)))
-(recipe r4 (key (sy4 ing30)))
-(recipe r4 (key (sx4 ing23)))
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-
-(exec (1 0) (, (recipe $p (pattern 0 $x)) (recipe $p (key ($x $xi))) (inventory $xi)) (, (ok0 $p)))
-(exec (1 1) (, (recipe $p (pattern 1 $y)) (recipe $p (key ($y $yi))) (inventory $yi)) (, (ok1 $p)))
-(exec (1 2) (, (recipe $p (numIngredients 2)) (ok0 $p) (ok1 $p) (recipe $p (result (id $n))))
-            (, (craftable $n)))
diff --git a/examples/transforms/cyc_naive.mm2 b/examples/transforms/cyc_naive.mm2
deleted file mode 100644
index f2ed2721..00000000
--- a/examples/transforms/cyc_naive.mm2
+++ /dev/null
@@ -1,901 +0,0 @@
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-(e n34 n13)
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-(e n34 n66)
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-(e n35 n14)
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-(e n35 n46)
-(e n35 n51)
-(e n35 n52)
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-(e n35 n60)
-(e n36 n5)
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-(e n36 n12)
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-(e n36 n56)
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-(e n37 n35)
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-(e n38 n23)
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-(e n38 n33)
-(e n38 n43)
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-(e n39 n3)
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-(e n39 n8)
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-(e n39 n11)
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-(e n40 n10)
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-(e n47 n8)
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-(e n48 n1)
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-(e n49 n12)
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-(e n49 n20)
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-(e n49 n60)
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-(e n51 n24)
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-(e n51 n66)
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-(e n52 n25)
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-(e n52 n51)
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-(e n52 n59)
-(e n52 n61)
-(e n52 n67)
-(e n53 n3)
-(e n53 n9)
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-(e n53 n21)
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-(e n53 n35)
-(e n53 n36)
-(e n53 n42)
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-(e n53 n49)
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-(e n53 n66)
-(e n54 n3)
-(e n54 n4)
-(e n54 n8)
-(e n54 n25)
-(e n54 n47)
-(e n54 n61)
-(e n54 n63)
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-(e n55 n2)
-(e n55 n15)
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-(e n55 n53)
-(e n55 n59)
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-(e n55 n62)
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-(e n56 n13)
-(e n56 n17)
-(e n56 n22)
-(e n56 n23)
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-(e n58 n1)
-(e n58 n2)
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-(e n58 n26)
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-(e n59 n8)
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-(e n59 n10)
-(e n59 n11)
-(e n59 n15)
-(e n59 n38)
-(e n59 n41)
-(e n59 n42)
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-(e n59 n62)
-(e n59 n69)
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-(e n60 n17)
-(e n60 n19)
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-(e n60 n32)
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-(e n60 n68)
-(e n61 n1)
-(e n61 n2)
-(e n61 n4)
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-(e n61 n25)
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-(e n62 n3)
-(e n62 n5)
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-(e n62 n37)
-(e n62 n49)
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-(e n62 n55)
-(e n62 n66)
-(e n62 n68)
-(e n62 n69)
-(e n63 n0)
-(e n63 n7)
-(e n63 n11)
-(e n63 n13)
-(e n63 n15)
-(e n63 n17)
-(e n63 n18)
-(e n63 n20)
-(e n63 n30)
-(e n63 n35)
-(e n63 n41)
-(e n63 n46)
-(e n63 n47)
-(e n63 n51)
-(e n63 n52)
-(e n63 n58)
-(e n63 n62)
-(e n64 n0)
-(e n64 n6)
-(e n64 n14)
-(e n64 n24)
-(e n64 n29)
-(e n64 n35)
-(e n64 n37)
-(e n64 n39)
-(e n64 n40)
-(e n64 n43)
-(e n64 n45)
-(e n64 n50)
-(e n64 n65)
-(e n64 n66)
-(e n65 n1)
-(e n65 n3)
-(e n65 n16)
-(e n65 n21)
-(e n65 n28)
-(e n65 n32)
-(e n65 n36)
-(e n65 n42)
-(e n65 n59)
-(e n65 n60)
-(e n65 n63)
-(e n66 n5)
-(e n66 n7)
-(e n66 n11)
-(e n66 n16)
-(e n66 n17)
-(e n66 n21)
-(e n66 n22)
-(e n66 n23)
-(e n66 n25)
-(e n66 n26)
-(e n66 n29)
-(e n66 n33)
-(e n66 n35)
-(e n66 n37)
-(e n66 n44)
-(e n66 n51)
-(e n66 n55)
-(e n66 n63)
-(e n66 n64)
-(e n66 n65)
-(e n67 n8)
-(e n67 n14)
-(e n67 n19)
-(e n67 n20)
-(e n67 n27)
-(e n67 n33)
-(e n67 n36)
-(e n67 n40)
-(e n67 n46)
-(e n67 n50)
-(e n67 n51)
-(e n68 n1)
-(e n68 n5)
-(e n68 n6)
-(e n68 n14)
-(e n68 n15)
-(e n68 n22)
-(e n68 n26)
-(e n68 n27)
-(e n68 n30)
-(e n68 n38)
-(e n68 n41)
-(e n68 n57)
-(e n68 n58)
-(e n68 n63)
-(e n69 n3)
-(e n69 n7)
-(e n69 n8)
-(e n69 n10)
-(e n69 n15)
-(e n69 n16)
-(e n69 n17)
-(e n69 n20)
-(e n69 n30)
-(e n69 n38)
-(e n69 n39)
-(e n69 n47)
-(e n69 n64)
-(e n69 n65)
-(e n69 n67)
-(exec 9 (, (e $a $b) (e $b $c) (e $c $d) (e $d $f) (e $f $g) (e $g $a)) (, (cyc6 $a)))
diff --git a/examples/transforms/cyc_staged.mm2 b/examples/transforms/cyc_staged.mm2
deleted file mode 100644
index 63ad0c46..00000000
--- a/examples/transforms/cyc_staged.mm2
+++ /dev/null
@@ -1,902 +0,0 @@
-(e n0 n23)
-(e n0 n26)
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-(e n0 n34)
-(e n0 n37)
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-(e n0 n69)
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-(e n3 n8)
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-(e n3 n25)
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-(e n3 n69)
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-(e n5 n3)
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-(e n5 n18)
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-(e n5 n66)
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-(e n6 n60)
-(e n6 n69)
-(e n7 n1)
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-(e n7 n8)
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-(e n7 n25)
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-(e n7 n30)
-(e n7 n38)
-(e n7 n40)
-(e n7 n43)
-(e n7 n60)
-(e n8 n0)
-(e n8 n13)
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-(e n8 n26)
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-(e n8 n46)
-(e n8 n49)
-(e n8 n51)
-(e n8 n59)
-(e n9 n3)
-(e n9 n4)
-(e n9 n5)
-(e n9 n6)
-(e n9 n10)
-(e n9 n11)
-(e n9 n15)
-(e n9 n28)
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-(e n9 n57)
-(e n9 n58)
-(e n9 n61)
-(e n9 n63)
-(e n9 n67)
-(e n10 n0)
-(e n10 n4)
-(e n10 n17)
-(e n10 n32)
-(e n10 n38)
-(e n10 n42)
-(e n10 n45)
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-(e n10 n58)
-(e n10 n60)
-(e n10 n66)
-(e n11 n12)
-(e n11 n14)
-(e n11 n20)
-(e n11 n21)
-(e n11 n28)
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-(e n11 n33)
-(e n11 n39)
-(e n11 n54)
-(e n11 n59)
-(e n12 n1)
-(e n12 n16)
-(e n12 n17)
-(e n12 n41)
-(e n12 n54)
-(e n12 n56)
-(e n12 n58)
-(e n12 n59)
-(e n12 n61)
-(e n12 n66)
-(e n13 n2)
-(e n13 n3)
-(e n13 n4)
-(e n13 n18)
-(e n13 n19)
-(e n13 n24)
-(e n13 n32)
-(e n13 n37)
-(e n13 n39)
-(e n13 n51)
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-(e n13 n67)
-(e n13 n68)
-(e n13 n69)
-(e n14 n6)
-(e n14 n7)
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-(e n14 n20)
-(e n14 n22)
-(e n14 n26)
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-(e n14 n50)
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-(e n14 n67)
-(e n15 n0)
-(e n15 n2)
-(e n15 n9)
-(e n15 n12)
-(e n15 n17)
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-(e n15 n26)
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-(e n15 n41)
-(e n15 n46)
-(e n15 n47)
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-(e n15 n56)
-(e n15 n58)
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-(e n16 n11)
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-(e n16 n33)
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-(e n16 n57)
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-(e n17 n9)
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-(e n17 n63)
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-(e n18 n6)
-(e n18 n9)
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-(e n18 n33)
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-(e n18 n47)
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-(e n18 n58)
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-(e n18 n67)
-(e n19 n16)
-(e n19 n22)
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-(e n19 n41)
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-(e n67 n50)
-(e n67 n51)
-(e n68 n1)
-(e n68 n5)
-(e n68 n6)
-(e n68 n14)
-(e n68 n15)
-(e n68 n22)
-(e n68 n26)
-(e n68 n27)
-(e n68 n30)
-(e n68 n38)
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-(e n68 n63)
-(e n69 n3)
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-(e n69 n67)
-(exec (1 0) (, (e $a $b) (e $b $c) (e $c $d)) (, (p3 $a $d)))
-(exec (1 1) (, (p3 $a $d) (e $d $f) (e $f $g) (e $g $a)) (, (cyc6 $a)))
diff --git a/examples/transforms/generate.py b/examples/transforms/generate.py
index cfdd6692..aed1a163 100755
--- a/examples/transforms/generate.py
+++ b/examples/transforms/generate.py
@@ -9,6 +9,8 @@
 """
 import os, random, sys
 
+RULES = {'cyc_naive': '(exec 9 (, (e $a $b) (e $b $c) (e $c $d) (e $d $f) (e $f $g) (e $g $a)) (, (cyc6 $a)))', 'cyc_staged': '(exec (1 0) (, (e $a $b) (e $b $c) (e $c $d)) (, (p3 $a $d)))\n(exec (1 1) (, (p3 $a $d) (e $d $f) (e $f $g) (e $g $a)) (, (cyc6 $a)))', 'clq_naive': '(exec 9 (, (edge $x0 $x1) (edge $x0 $x2) (edge $x0 $x3) (edge $x1 $x2) (edge $x1 $x3) (edge $x2 $x3))\n        (, (c4 $x0 $x1 $x2 $x3)))', 'clq_staged': '(exec (1 0) (, (edge $x0 $x1) (edge $x0 $x2) (edge $x1 $x2)) (, (tri $x0 $x1 $x2)))\n(exec (1 1) (, (tri $x0 $x1 $x2) (edge $x0 $x3) (edge $x1 $x3) (edge $x2 $x3))\n            (, (c4 $x0 $x1 $x2 $x3)))', 'craft_naive': '(exec 9 (, (recipe $p (numIngredients 2)) (recipe $p (result (id $n)))\n           (recipe $p (pattern 0 $x)) (recipe $p (key ($x $xi)))\n           (recipe $p (pattern 1 $y)) (recipe $p (key ($y $yi)))\n           (inventory $xi) (inventory $yi))\n        (, (craftable $n)))', 'craft_staged': '(exec (1 0) (, (recipe $p (pattern 0 $x)) (recipe $p (key ($x $xi))) (inventory $xi)) (, (ok0 $p)))\n(exec (1 1) (, (recipe $p (pattern 1 $y)) (recipe $p (key ($y $yi))) (inventory $yi)) (, (ok1 $p)))\n(exec (1 2) (, (recipe $p (numIngredients 2)) (ok0 $p) (ok1 $p) (recipe $p (result (id $n))))\n            (, (craftable $n)))', 'lts_naive': '(exec (1 Z) (, (exec (1 $l) $p $t) (fuelN (S $k)) (state $s) (trans $s $u))\n            (O (+ (exec (1 (S $l)) $p $t)) (+ (state $u)) (+ (fuelN $k)) (- (fuelN (S $k)))))', 'lts_delta': ';; One exec: take the worklist, publish successors into both the state set and the worklist,\n;; retire what was taken. A separate promotion exec would be starved -- this family re-adds\n;; itself and sorts first, so it consumes all the fuel before the promoter ever runs.\n(exec (1 Z) (, (exec (1 $l) $p $t) (fuelD (S $k)) (dstate $s) (trans $s $u))\n            (O (+ (exec (1 (S $l)) $p $t)) (+ (state $u)) (+ (dstate $u))\n               (- (dstate $s)) (+ (fuelD $k)) (- (fuelD (S $k)))))', 'pc3_naive': '(exec (1 Z) (, (exec (1 $l) $p $t) (fuel (S $k))\n               (petri (? $c $pl $b)) (petri (! $c $pl)))\n            (O (+ (exec (1 (S $l)) $p $t)) (+ (petri $b)) (+ (fuel $k)) (- (fuel (S $k)))))', 'pc3_delta': '(exec (1 Z) (, (exec (1 $l) $p $t) (fuel (S $k))\n               (petri (? $c $pl $b)) (dmsg (! $c $pl)))\n            (O (+ (exec (1 (S $l)) $p $t)) (+ (petri $b)) (+ (dmsg $b))\n               (- (dmsg (! $c $pl))) (+ (fuel $k)) (- (fuel (S $k)))))', 'pc3_consume': '(exec (1 Z) (, (exec (1 $l) $p $t) (fuel (S $k))\n               (petri (? $c $pl $b)) (petri (! $c $pl)))\n            (O (+ (exec (1 (S $l)) $p $t)) (+ (petri $b))\n               (- (petri (? $c $pl $b))) (- (petri (! $c $pl)))\n               (+ (fuel $k)) (- (fuel (S $k)))))'}
+
 def main(outdir):
     os.makedirs(outdir, exist_ok=True)
     w = lambda n, s: open(os.path.join(outdir, n), "w").write(s)
@@ -57,7 +59,50 @@ def main(outdir):
 (exec (1 Z) (, (exec (1 $l) $p $t) (front $l $x $y) (edge $y $z))
             (, (exec (1 (S $l)) $p $t) (front (S $l) $x $z) (path $x $z)))
 """)
-    print("wrote 6 programs to " + outdir)
+
+    E = set()
+    while len(E) < 900:
+        a, b = random.randrange(70), random.randrange(70)
+        if a != b: E.add((a, b))
+    edges = "\n".join("(e n%d n%d)" % (a, b) for a, b in sorted(E)) + "\n"
+    w("cyc_naive.mm2", edges + RULES["cyc_naive"] + "\n")
+    w("cyc_staged.mm2", edges + RULES["cyc_staged"] + "\n")
+
+    C = set()
+    while len(C) < 3600:
+        a, b = random.randrange(200), random.randrange(200)
+        if a < b: C.add((a, b))
+    cedges = "\n".join("(edge n%d n%d)" % (a, b) for a, b in sorted(C)) + "\n"
+    w("clq_naive.mm2", cedges + RULES["clq_naive"] + "\n")
+    w("clq_staged.mm2", cedges + RULES["clq_staged"] + "\n")
+
+    L = []
+    for pi in range(400):
+        L += ["(recipe r%d (numIngredients 2))" % pi, "(recipe r%d (result (id item%d)))" % (pi, pi),
+              "(recipe r%d (pattern 0 sx%d))" % (pi, pi), "(recipe r%d (pattern 1 sy%d))" % (pi, pi)]
+        for k in range(12):
+            L.append("(recipe r%d (key (sx%d ing%d)))" % (pi, pi, (pi * 3 + k) % 600))
+            L.append("(recipe r%d (key (sy%d ing%d)))" % (pi, pi, (pi * 5 + k) % 600))
+    L += ["(inventory ing%d)" % i for i in range(600)]
+    craft = "\n".join(L) + "\n"
+    w("craft_naive.mm2", craft + RULES["craft_naive"] + "\n")
+    w("craft_staged.mm2", craft + RULES["craft_staged"] + "\n")
+
+    tr = "\n".join("(trans s%d s%d)" % (i, (i * 7 + j * 13 + 1) % 6000)
+                    for i in range(6000) for j in range(3)) + "\n(state s0)\n"
+    w("lts_naive.mm2", tr + RULES["lts_naive"] + "\n")
+    w("lts_delta.mm2", tr + "(dstate s0)\n" + RULES["lts_delta"] + "\n")
+
+    for n in (200, 400, 800):
+        soup = "\n".join("(petri (? c%d p%d (! c%d p%d)))" % (i, i, i + 1, i + 1) for i in range(n))
+        fuel = "Z"
+        for _ in range(n + 5): fuel = "(S %s)" % fuel
+        head = soup + "\n(petri (! c0 p0))\n(fuel %s)\n" % fuel
+        w("pc%d_naive.mm2" % n, head + RULES["pc3_naive"] + "\n")
+        w("pc%d_delta.mm2" % n, soup + "\n(petri (! c0 p0))\n(dmsg (! c0 p0))\n(fuel %s)\n" % fuel
+                                + RULES["pc3_delta"] + "\n")
+        w("pc%d_consume.mm2" % n, head + RULES["pc3_consume"] + "\n")
+    print("wrote all programs to " + outdir)
 
 if __name__ == "__main__":
     main(sys.argv[1] if len(sys.argv) > 1 else ".")
diff --git a/examples/transforms/lts_delta.mm2 b/examples/transforms/lts_delta.mm2
deleted file mode 100644
index b944a0d9..00000000
--- a/examples/transforms/lts_delta.mm2
+++ /dev/null
@@ -1,18011 +0,0 @@
-(trans s0 s1)
-(trans s0 s14)
-(trans s0 s27)
-(trans s1 s8)
-(trans s1 s21)
-(trans s1 s34)
-(trans s2 s15)
-(trans s2 s28)
-(trans s2 s41)
-(trans s3 s22)
-(trans s3 s35)
-(trans s3 s48)
-(trans s4 s29)
-(trans s4 s42)
-(trans s4 s55)
-(trans s5 s36)
-(trans s5 s49)
-(trans s5 s62)
-(trans s6 s43)
-(trans s6 s56)
-(trans s6 s69)
-(trans s7 s50)
-(trans s7 s63)
-(trans s7 s76)
-(trans s8 s57)
-(trans s8 s70)
-(trans s8 s83)
-(trans s9 s64)
-(trans s9 s77)
-(trans s9 s90)
-(trans s10 s71)
-(trans s10 s84)
-(trans s10 s97)
-(trans s11 s78)
-(trans s11 s91)
-(trans s11 s104)
-(trans s12 s85)
-(trans s12 s98)
-(trans s12 s111)
-(trans s13 s92)
-(trans s13 s105)
-(trans s13 s118)
-(trans s14 s99)
-(trans s14 s112)
-(trans s14 s125)
-(trans s15 s106)
-(trans s15 s119)
-(trans s15 s132)
-(trans s16 s113)
-(trans s16 s126)
-(trans s16 s139)
-(trans s17 s120)
-(trans s17 s133)
-(trans s17 s146)
-(trans s18 s127)
-(trans s18 s140)
-(trans s18 s153)
-(trans s19 s134)
-(trans s19 s147)
-(trans s19 s160)
-(trans s20 s141)
-(trans s20 s154)
-(trans s20 s167)
-(trans s21 s148)
-(trans s21 s161)
-(trans s21 s174)
-(trans s22 s155)
-(trans s22 s168)
-(trans s22 s181)
-(trans s23 s162)
-(trans s23 s175)
-(trans s23 s188)
-(trans s24 s169)
-(trans s24 s182)
-(trans s24 s195)
-(trans s25 s176)
-(trans s25 s189)
-(trans s25 s202)
-(trans s26 s183)
-(trans s26 s196)
-(trans s26 s209)
-(trans s27 s190)
-(trans s27 s203)
-(trans s27 s216)
-(trans s28 s197)
-(trans s28 s210)
-(trans s28 s223)
-(trans s29 s204)
-(trans s29 s217)
-(trans s29 s230)
-(trans s30 s211)
-(trans s30 s224)
-(trans s30 s237)
-(trans s31 s218)
-(trans s31 s231)
-(trans s31 s244)
-(trans s32 s225)
-(trans s32 s238)
-(trans s32 s251)
-(trans s33 s232)
-(trans s33 s245)
-(trans s33 s258)
-(trans s34 s239)
-(trans s34 s252)
-(trans s34 s265)
-(trans s35 s246)
-(trans s35 s259)
-(trans s35 s272)
-(trans s36 s253)
-(trans s36 s266)
-(trans s36 s279)
-(trans s37 s260)
-(trans s37 s273)
-(trans s37 s286)
-(trans s38 s267)
-(trans s38 s280)
-(trans s38 s293)
-(trans s39 s274)
-(trans s39 s287)
-(trans s39 s300)
-(trans s40 s281)
-(trans s40 s294)
-(trans s40 s307)
-(trans s41 s288)
-(trans s41 s301)
-(trans s41 s314)
-(trans s42 s295)
-(trans s42 s308)
-(trans s42 s321)
-(trans s43 s302)
-(trans s43 s315)
-(trans s43 s328)
-(trans s44 s309)
-(trans s44 s322)
-(trans s44 s335)
-(trans s45 s316)
-(trans s45 s329)
-(trans s45 s342)
-(trans s46 s323)
-(trans s46 s336)
-(trans s46 s349)
-(trans s47 s330)
-(trans s47 s343)
-(trans s47 s356)
-(trans s48 s337)
-(trans s48 s350)
-(trans s48 s363)
-(trans s49 s344)
-(trans s49 s357)
-(trans s49 s370)
-(trans s50 s351)
-(trans s50 s364)
-(trans s50 s377)
-(trans s51 s358)
-(trans s51 s371)
-(trans s51 s384)
-(trans s52 s365)
-(trans s52 s378)
-(trans s52 s391)
-(trans s53 s372)
-(trans s53 s385)
-(trans s53 s398)
-(trans s54 s379)
-(trans s54 s392)
-(trans s54 s405)
-(trans s55 s386)
-(trans s55 s399)
-(trans s55 s412)
-(trans s56 s393)
-(trans s56 s406)
-(trans s56 s419)
-(trans s57 s400)
-(trans s57 s413)
-(trans s57 s426)
-(trans s58 s407)
-(trans s58 s420)
-(trans s58 s433)
-(trans s59 s414)
-(trans s59 s427)
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-(trans s60 s434)
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-(trans s61 s428)
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-(trans s62 s435)
-(trans s62 s448)
-(trans s62 s461)
-(trans s63 s442)
-(trans s63 s455)
-(trans s63 s468)
-(trans s64 s449)
-(trans s64 s462)
-(trans s64 s475)
-(trans s65 s456)
-(trans s65 s469)
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-(trans s66 s476)
-(trans s66 s489)
-(trans s67 s470)
-(trans s67 s483)
-(trans s67 s496)
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-(trans s80 s587)
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-(trans s81 s581)
-(trans s81 s594)
-(trans s82 s575)
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-(trans s83 s582)
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-(trans s84 s615)
-(trans s85 s596)
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-(trans s85 s622)
-(trans s86 s603)
-(trans s86 s616)
-(trans s86 s629)
-(trans s87 s610)
-(trans s87 s623)
-(trans s87 s636)
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-(trans s88 s630)
-(trans s88 s643)
-(trans s89 s624)
-(trans s89 s637)
-(trans s89 s650)
-(trans s90 s631)
-(trans s90 s644)
-(trans s90 s657)
-(trans s91 s638)
-(trans s91 s651)
-(trans s91 s664)
-(trans s92 s645)
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-(trans s93 s652)
-(trans s93 s665)
-(trans s93 s678)
-(trans s94 s659)
-(trans s94 s672)
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-(trans s95 s666)
-(trans s95 s679)
-(trans s95 s692)
-(trans s96 s673)
-(trans s96 s686)
-(trans s96 s699)
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-(trans s99 s720)
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-(trans s102 s715)
-(trans s102 s728)
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-(trans s103 s722)
-(trans s103 s735)
-(trans s103 s748)
-(trans s104 s729)
-(trans s104 s742)
-(trans s104 s755)
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-(trans s106 s769)
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-(trans s108 s770)
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-(trans s109 s790)
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-(trans s114 s812)
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-(trans s116 s839)
-(trans s117 s820)
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-(trans s117 s846)
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-(trans s118 s840)
-(trans s118 s853)
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-(trans s121 s861)
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-(trans s122 s881)
-(trans s123 s862)
-(trans s123 s875)
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-(trans s126 s896)
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-(trans s129 s904)
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-(trans s148 s1037)
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-(trans s199 s1394)
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-(trans s200 s1401)
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-(trans s201 s1408)
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-(trans s201 s1434)
-(trans s202 s1415)
-(trans s202 s1428)
-(trans s202 s1441)
-(trans s203 s1422)
-(trans s203 s1435)
-(trans s203 s1448)
-(trans s204 s1429)
-(trans s204 s1442)
-(trans s204 s1455)
-(trans s205 s1436)
-(trans s205 s1449)
-(trans s205 s1462)
-(trans s206 s1443)
-(trans s206 s1456)
-(trans s206 s1469)
-(trans s207 s1450)
-(trans s207 s1463)
-(trans s207 s1476)
-(trans s208 s1457)
-(trans s208 s1470)
-(trans s208 s1483)
-(trans s209 s1464)
-(trans s209 s1477)
-(trans s209 s1490)
-(trans s210 s1471)
-(trans s210 s1484)
-(trans s210 s1497)
-(trans s211 s1478)
-(trans s211 s1491)
-(trans s211 s1504)
-(trans s212 s1485)
-(trans s212 s1498)
-(trans s212 s1511)
-(trans s213 s1492)
-(trans s213 s1505)
-(trans s213 s1518)
-(trans s214 s1499)
-(trans s214 s1512)
-(trans s214 s1525)
-(trans s215 s1506)
-(trans s215 s1519)
-(trans s215 s1532)
-(trans s216 s1513)
-(trans s216 s1526)
-(trans s216 s1539)
-(trans s217 s1520)
-(trans s217 s1533)
-(trans s217 s1546)
-(trans s218 s1527)
-(trans s218 s1540)
-(trans s218 s1553)
-(trans s219 s1534)
-(trans s219 s1547)
-(trans s219 s1560)
-(trans s220 s1541)
-(trans s220 s1554)
-(trans s220 s1567)
-(trans s221 s1548)
-(trans s221 s1561)
-(trans s221 s1574)
-(trans s222 s1555)
-(trans s222 s1568)
-(trans s222 s1581)
-(trans s223 s1562)
-(trans s223 s1575)
-(trans s223 s1588)
-(trans s224 s1569)
-(trans s224 s1582)
-(trans s224 s1595)
-(trans s225 s1576)
-(trans s225 s1589)
-(trans s225 s1602)
-(trans s226 s1583)
-(trans s226 s1596)
-(trans s226 s1609)
-(trans s227 s1590)
-(trans s227 s1603)
-(trans s227 s1616)
-(trans s228 s1597)
-(trans s228 s1610)
-(trans s228 s1623)
-(trans s229 s1604)
-(trans s229 s1617)
-(trans s229 s1630)
-(trans s230 s1611)
-(trans s230 s1624)
-(trans s230 s1637)
-(trans s231 s1618)
-(trans s231 s1631)
-(trans s231 s1644)
-(trans s232 s1625)
-(trans s232 s1638)
-(trans s232 s1651)
-(trans s233 s1632)
-(trans s233 s1645)
-(trans s233 s1658)
-(trans s234 s1639)
-(trans s234 s1652)
-(trans s234 s1665)
-(trans s235 s1646)
-(trans s235 s1659)
-(trans s235 s1672)
-(trans s236 s1653)
-(trans s236 s1666)
-(trans s236 s1679)
-(trans s237 s1660)
-(trans s237 s1673)
-(trans s237 s1686)
-(trans s238 s1667)
-(trans s238 s1680)
-(trans s238 s1693)
-(trans s239 s1674)
-(trans s239 s1687)
-(trans s239 s1700)
-(trans s240 s1681)
-(trans s240 s1694)
-(trans s240 s1707)
-(trans s241 s1688)
-(trans s241 s1701)
-(trans s241 s1714)
-(trans s242 s1695)
-(trans s242 s1708)
-(trans s242 s1721)
-(trans s243 s1702)
-(trans s243 s1715)
-(trans s243 s1728)
-(trans s244 s1709)
-(trans s244 s1722)
-(trans s244 s1735)
-(trans s245 s1716)
-(trans s245 s1729)
-(trans s245 s1742)
-(trans s246 s1723)
-(trans s246 s1736)
-(trans s246 s1749)
-(trans s247 s1730)
-(trans s247 s1743)
-(trans s247 s1756)
-(trans s248 s1737)
-(trans s248 s1750)
-(trans s248 s1763)
-(trans s249 s1744)
-(trans s249 s1757)
-(trans s249 s1770)
-(trans s250 s1751)
-(trans s250 s1764)
-(trans s250 s1777)
-(trans s251 s1758)
-(trans s251 s1771)
-(trans s251 s1784)
-(trans s252 s1765)
-(trans s252 s1778)
-(trans s252 s1791)
-(trans s253 s1772)
-(trans s253 s1785)
-(trans s253 s1798)
-(trans s254 s1779)
-(trans s254 s1792)
-(trans s254 s1805)
-(trans s255 s1786)
-(trans s255 s1799)
-(trans s255 s1812)
-(trans s256 s1793)
-(trans s256 s1806)
-(trans s256 s1819)
-(trans s257 s1800)
-(trans s257 s1813)
-(trans s257 s1826)
-(trans s258 s1807)
-(trans s258 s1820)
-(trans s258 s1833)
-(trans s259 s1814)
-(trans s259 s1827)
-(trans s259 s1840)
-(trans s260 s1821)
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-(trans s5851 s4971)
-(trans s5851 s4984)
-(trans s5852 s4965)
-(trans s5852 s4978)
-(trans s5852 s4991)
-(trans s5853 s4972)
-(trans s5853 s4985)
-(trans s5853 s4998)
-(trans s5854 s4979)
-(trans s5854 s4992)
-(trans s5854 s5005)
-(trans s5855 s4986)
-(trans s5855 s4999)
-(trans s5855 s5012)
-(trans s5856 s4993)
-(trans s5856 s5006)
-(trans s5856 s5019)
-(trans s5857 s5000)
-(trans s5857 s5013)
-(trans s5857 s5026)
-(trans s5858 s5007)
-(trans s5858 s5020)
-(trans s5858 s5033)
-(trans s5859 s5014)
-(trans s5859 s5027)
-(trans s5859 s5040)
-(trans s5860 s5021)
-(trans s5860 s5034)
-(trans s5860 s5047)
-(trans s5861 s5028)
-(trans s5861 s5041)
-(trans s5861 s5054)
-(trans s5862 s5035)
-(trans s5862 s5048)
-(trans s5862 s5061)
-(trans s5863 s5042)
-(trans s5863 s5055)
-(trans s5863 s5068)
-(trans s5864 s5049)
-(trans s5864 s5062)
-(trans s5864 s5075)
-(trans s5865 s5056)
-(trans s5865 s5069)
-(trans s5865 s5082)
-(trans s5866 s5063)
-(trans s5866 s5076)
-(trans s5866 s5089)
-(trans s5867 s5070)
-(trans s5867 s5083)
-(trans s5867 s5096)
-(trans s5868 s5077)
-(trans s5868 s5090)
-(trans s5868 s5103)
-(trans s5869 s5084)
-(trans s5869 s5097)
-(trans s5869 s5110)
-(trans s5870 s5091)
-(trans s5870 s5104)
-(trans s5870 s5117)
-(trans s5871 s5098)
-(trans s5871 s5111)
-(trans s5871 s5124)
-(trans s5872 s5105)
-(trans s5872 s5118)
-(trans s5872 s5131)
-(trans s5873 s5112)
-(trans s5873 s5125)
-(trans s5873 s5138)
-(trans s5874 s5119)
-(trans s5874 s5132)
-(trans s5874 s5145)
-(trans s5875 s5126)
-(trans s5875 s5139)
-(trans s5875 s5152)
-(trans s5876 s5133)
-(trans s5876 s5146)
-(trans s5876 s5159)
-(trans s5877 s5140)
-(trans s5877 s5153)
-(trans s5877 s5166)
-(trans s5878 s5147)
-(trans s5878 s5160)
-(trans s5878 s5173)
-(trans s5879 s5154)
-(trans s5879 s5167)
-(trans s5879 s5180)
-(trans s5880 s5161)
-(trans s5880 s5174)
-(trans s5880 s5187)
-(trans s5881 s5168)
-(trans s5881 s5181)
-(trans s5881 s5194)
-(trans s5882 s5175)
-(trans s5882 s5188)
-(trans s5882 s5201)
-(trans s5883 s5182)
-(trans s5883 s5195)
-(trans s5883 s5208)
-(trans s5884 s5189)
-(trans s5884 s5202)
-(trans s5884 s5215)
-(trans s5885 s5196)
-(trans s5885 s5209)
-(trans s5885 s5222)
-(trans s5886 s5203)
-(trans s5886 s5216)
-(trans s5886 s5229)
-(trans s5887 s5210)
-(trans s5887 s5223)
-(trans s5887 s5236)
-(trans s5888 s5217)
-(trans s5888 s5230)
-(trans s5888 s5243)
-(trans s5889 s5224)
-(trans s5889 s5237)
-(trans s5889 s5250)
-(trans s5890 s5231)
-(trans s5890 s5244)
-(trans s5890 s5257)
-(trans s5891 s5238)
-(trans s5891 s5251)
-(trans s5891 s5264)
-(trans s5892 s5245)
-(trans s5892 s5258)
-(trans s5892 s5271)
-(trans s5893 s5252)
-(trans s5893 s5265)
-(trans s5893 s5278)
-(trans s5894 s5259)
-(trans s5894 s5272)
-(trans s5894 s5285)
-(trans s5895 s5266)
-(trans s5895 s5279)
-(trans s5895 s5292)
-(trans s5896 s5273)
-(trans s5896 s5286)
-(trans s5896 s5299)
-(trans s5897 s5280)
-(trans s5897 s5293)
-(trans s5897 s5306)
-(trans s5898 s5287)
-(trans s5898 s5300)
-(trans s5898 s5313)
-(trans s5899 s5294)
-(trans s5899 s5307)
-(trans s5899 s5320)
-(trans s5900 s5301)
-(trans s5900 s5314)
-(trans s5900 s5327)
-(trans s5901 s5308)
-(trans s5901 s5321)
-(trans s5901 s5334)
-(trans s5902 s5315)
-(trans s5902 s5328)
-(trans s5902 s5341)
-(trans s5903 s5322)
-(trans s5903 s5335)
-(trans s5903 s5348)
-(trans s5904 s5329)
-(trans s5904 s5342)
-(trans s5904 s5355)
-(trans s5905 s5336)
-(trans s5905 s5349)
-(trans s5905 s5362)
-(trans s5906 s5343)
-(trans s5906 s5356)
-(trans s5906 s5369)
-(trans s5907 s5350)
-(trans s5907 s5363)
-(trans s5907 s5376)
-(trans s5908 s5357)
-(trans s5908 s5370)
-(trans s5908 s5383)
-(trans s5909 s5364)
-(trans s5909 s5377)
-(trans s5909 s5390)
-(trans s5910 s5371)
-(trans s5910 s5384)
-(trans s5910 s5397)
-(trans s5911 s5378)
-(trans s5911 s5391)
-(trans s5911 s5404)
-(trans s5912 s5385)
-(trans s5912 s5398)
-(trans s5912 s5411)
-(trans s5913 s5392)
-(trans s5913 s5405)
-(trans s5913 s5418)
-(trans s5914 s5399)
-(trans s5914 s5412)
-(trans s5914 s5425)
-(trans s5915 s5406)
-(trans s5915 s5419)
-(trans s5915 s5432)
-(trans s5916 s5413)
-(trans s5916 s5426)
-(trans s5916 s5439)
-(trans s5917 s5420)
-(trans s5917 s5433)
-(trans s5917 s5446)
-(trans s5918 s5427)
-(trans s5918 s5440)
-(trans s5918 s5453)
-(trans s5919 s5434)
-(trans s5919 s5447)
-(trans s5919 s5460)
-(trans s5920 s5441)
-(trans s5920 s5454)
-(trans s5920 s5467)
-(trans s5921 s5448)
-(trans s5921 s5461)
-(trans s5921 s5474)
-(trans s5922 s5455)
-(trans s5922 s5468)
-(trans s5922 s5481)
-(trans s5923 s5462)
-(trans s5923 s5475)
-(trans s5923 s5488)
-(trans s5924 s5469)
-(trans s5924 s5482)
-(trans s5924 s5495)
-(trans s5925 s5476)
-(trans s5925 s5489)
-(trans s5925 s5502)
-(trans s5926 s5483)
-(trans s5926 s5496)
-(trans s5926 s5509)
-(trans s5927 s5490)
-(trans s5927 s5503)
-(trans s5927 s5516)
-(trans s5928 s5497)
-(trans s5928 s5510)
-(trans s5928 s5523)
-(trans s5929 s5504)
-(trans s5929 s5517)
-(trans s5929 s5530)
-(trans s5930 s5511)
-(trans s5930 s5524)
-(trans s5930 s5537)
-(trans s5931 s5518)
-(trans s5931 s5531)
-(trans s5931 s5544)
-(trans s5932 s5525)
-(trans s5932 s5538)
-(trans s5932 s5551)
-(trans s5933 s5532)
-(trans s5933 s5545)
-(trans s5933 s5558)
-(trans s5934 s5539)
-(trans s5934 s5552)
-(trans s5934 s5565)
-(trans s5935 s5546)
-(trans s5935 s5559)
-(trans s5935 s5572)
-(trans s5936 s5553)
-(trans s5936 s5566)
-(trans s5936 s5579)
-(trans s5937 s5560)
-(trans s5937 s5573)
-(trans s5937 s5586)
-(trans s5938 s5567)
-(trans s5938 s5580)
-(trans s5938 s5593)
-(trans s5939 s5574)
-(trans s5939 s5587)
-(trans s5939 s5600)
-(trans s5940 s5581)
-(trans s5940 s5594)
-(trans s5940 s5607)
-(trans s5941 s5588)
-(trans s5941 s5601)
-(trans s5941 s5614)
-(trans s5942 s5595)
-(trans s5942 s5608)
-(trans s5942 s5621)
-(trans s5943 s5602)
-(trans s5943 s5615)
-(trans s5943 s5628)
-(trans s5944 s5609)
-(trans s5944 s5622)
-(trans s5944 s5635)
-(trans s5945 s5616)
-(trans s5945 s5629)
-(trans s5945 s5642)
-(trans s5946 s5623)
-(trans s5946 s5636)
-(trans s5946 s5649)
-(trans s5947 s5630)
-(trans s5947 s5643)
-(trans s5947 s5656)
-(trans s5948 s5637)
-(trans s5948 s5650)
-(trans s5948 s5663)
-(trans s5949 s5644)
-(trans s5949 s5657)
-(trans s5949 s5670)
-(trans s5950 s5651)
-(trans s5950 s5664)
-(trans s5950 s5677)
-(trans s5951 s5658)
-(trans s5951 s5671)
-(trans s5951 s5684)
-(trans s5952 s5665)
-(trans s5952 s5678)
-(trans s5952 s5691)
-(trans s5953 s5672)
-(trans s5953 s5685)
-(trans s5953 s5698)
-(trans s5954 s5679)
-(trans s5954 s5692)
-(trans s5954 s5705)
-(trans s5955 s5686)
-(trans s5955 s5699)
-(trans s5955 s5712)
-(trans s5956 s5693)
-(trans s5956 s5706)
-(trans s5956 s5719)
-(trans s5957 s5700)
-(trans s5957 s5713)
-(trans s5957 s5726)
-(trans s5958 s5707)
-(trans s5958 s5720)
-(trans s5958 s5733)
-(trans s5959 s5714)
-(trans s5959 s5727)
-(trans s5959 s5740)
-(trans s5960 s5721)
-(trans s5960 s5734)
-(trans s5960 s5747)
-(trans s5961 s5728)
-(trans s5961 s5741)
-(trans s5961 s5754)
-(trans s5962 s5735)
-(trans s5962 s5748)
-(trans s5962 s5761)
-(trans s5963 s5742)
-(trans s5963 s5755)
-(trans s5963 s5768)
-(trans s5964 s5749)
-(trans s5964 s5762)
-(trans s5964 s5775)
-(trans s5965 s5756)
-(trans s5965 s5769)
-(trans s5965 s5782)
-(trans s5966 s5763)
-(trans s5966 s5776)
-(trans s5966 s5789)
-(trans s5967 s5770)
-(trans s5967 s5783)
-(trans s5967 s5796)
-(trans s5968 s5777)
-(trans s5968 s5790)
-(trans s5968 s5803)
-(trans s5969 s5784)
-(trans s5969 s5797)
-(trans s5969 s5810)
-(trans s5970 s5791)
-(trans s5970 s5804)
-(trans s5970 s5817)
-(trans s5971 s5798)
-(trans s5971 s5811)
-(trans s5971 s5824)
-(trans s5972 s5805)
-(trans s5972 s5818)
-(trans s5972 s5831)
-(trans s5973 s5812)
-(trans s5973 s5825)
-(trans s5973 s5838)
-(trans s5974 s5819)
-(trans s5974 s5832)
-(trans s5974 s5845)
-(trans s5975 s5826)
-(trans s5975 s5839)
-(trans s5975 s5852)
-(trans s5976 s5833)
-(trans s5976 s5846)
-(trans s5976 s5859)
-(trans s5977 s5840)
-(trans s5977 s5853)
-(trans s5977 s5866)
-(trans s5978 s5847)
-(trans s5978 s5860)
-(trans s5978 s5873)
-(trans s5979 s5854)
-(trans s5979 s5867)
-(trans s5979 s5880)
-(trans s5980 s5861)
-(trans s5980 s5874)
-(trans s5980 s5887)
-(trans s5981 s5868)
-(trans s5981 s5881)
-(trans s5981 s5894)
-(trans s5982 s5875)
-(trans s5982 s5888)
-(trans s5982 s5901)
-(trans s5983 s5882)
-(trans s5983 s5895)
-(trans s5983 s5908)
-(trans s5984 s5889)
-(trans s5984 s5902)
-(trans s5984 s5915)
-(trans s5985 s5896)
-(trans s5985 s5909)
-(trans s5985 s5922)
-(trans s5986 s5903)
-(trans s5986 s5916)
-(trans s5986 s5929)
-(trans s5987 s5910)
-(trans s5987 s5923)
-(trans s5987 s5936)
-(trans s5988 s5917)
-(trans s5988 s5930)
-(trans s5988 s5943)
-(trans s5989 s5924)
-(trans s5989 s5937)
-(trans s5989 s5950)
-(trans s5990 s5931)
-(trans s5990 s5944)
-(trans s5990 s5957)
-(trans s5991 s5938)
-(trans s5991 s5951)
-(trans s5991 s5964)
-(trans s5992 s5945)
-(trans s5992 s5958)
-(trans s5992 s5971)
-(trans s5993 s5952)
-(trans s5993 s5965)
-(trans s5993 s5978)
-(trans s5994 s5959)
-(trans s5994 s5972)
-(trans s5994 s5985)
-(trans s5995 s5966)
-(trans s5995 s5979)
-(trans s5995 s5992)
-(trans s5996 s5973)
-(trans s5996 s5986)
-(trans s5996 s5999)
-(trans s5997 s5980)
-(trans s5997 s5993)
-(trans s5997 s6)
-(trans s5998 s5987)
-(trans s5998 s0)
-(trans s5998 s13)
-(trans s5999 s5994)
-(trans s5999 s7)
-(trans s5999 s20)
-(state s0)
-(dstate s0)
-(fuelD (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S Z)))))))))))))))))))))))))))))))))))))))))
-
-
-;; One exec: take the worklist, publish successors into both the state set and the worklist,
-;; retire what was taken. A separate promotion exec would be starved -- this family re-adds
-;; itself and sorts first, so it consumes all the fuel before the promoter ever runs.
-(exec (1 Z) (, (exec (1 $l) $p $t) (fuelD (S $k)) (dstate $s) (trans $s $u))
-            (O (+ (exec (1 (S $l)) $p $t)) (+ (state $u)) (+ (dstate $u))
-               (- (dstate $s)) (+ (fuelD $k)) (- (fuelD (S $k)))))
diff --git a/examples/transforms/lts_naive.mm2 b/examples/transforms/lts_naive.mm2
deleted file mode 100644
index fc76dd74..00000000
--- a/examples/transforms/lts_naive.mm2
+++ /dev/null
@@ -1,18005 +0,0 @@
-(trans s0 s1)
-(trans s0 s14)
-(trans s0 s27)
-(trans s1 s8)
-(trans s1 s21)
-(trans s1 s34)
-(trans s2 s15)
-(trans s2 s28)
-(trans s2 s41)
-(trans s3 s22)
-(trans s3 s35)
-(trans s3 s48)
-(trans s4 s29)
-(trans s4 s42)
-(trans s4 s55)
-(trans s5 s36)
-(trans s5 s49)
-(trans s5 s62)
-(trans s6 s43)
-(trans s6 s56)
-(trans s6 s69)
-(trans s7 s50)
-(trans s7 s63)
-(trans s7 s76)
-(trans s8 s57)
-(trans s8 s70)
-(trans s8 s83)
-(trans s9 s64)
-(trans s9 s77)
-(trans s9 s90)
-(trans s10 s71)
-(trans s10 s84)
-(trans s10 s97)
-(trans s11 s78)
-(trans s11 s91)
-(trans s11 s104)
-(trans s12 s85)
-(trans s12 s98)
-(trans s12 s111)
-(trans s13 s92)
-(trans s13 s105)
-(trans s13 s118)
-(trans s14 s99)
-(trans s14 s112)
-(trans s14 s125)
-(trans s15 s106)
-(trans s15 s119)
-(trans s15 s132)
-(trans s16 s113)
-(trans s16 s126)
-(trans s16 s139)
-(trans s17 s120)
-(trans s17 s133)
-(trans s17 s146)
-(trans s18 s127)
-(trans s18 s140)
-(trans s18 s153)
-(trans s19 s134)
-(trans s19 s147)
-(trans s19 s160)
-(trans s20 s141)
-(trans s20 s154)
-(trans s20 s167)
-(trans s21 s148)
-(trans s21 s161)
-(trans s21 s174)
-(trans s22 s155)
-(trans s22 s168)
-(trans s22 s181)
-(trans s23 s162)
-(trans s23 s175)
-(trans s23 s188)
-(trans s24 s169)
-(trans s24 s182)
-(trans s24 s195)
-(trans s25 s176)
-(trans s25 s189)
-(trans s25 s202)
-(trans s26 s183)
-(trans s26 s196)
-(trans s26 s209)
-(trans s27 s190)
-(trans s27 s203)
-(trans s27 s216)
-(trans s28 s197)
-(trans s28 s210)
-(trans s28 s223)
-(trans s29 s204)
-(trans s29 s217)
-(trans s29 s230)
-(trans s30 s211)
-(trans s30 s224)
-(trans s30 s237)
-(trans s31 s218)
-(trans s31 s231)
-(trans s31 s244)
-(trans s32 s225)
-(trans s32 s238)
-(trans s32 s251)
-(trans s33 s232)
-(trans s33 s245)
-(trans s33 s258)
-(trans s34 s239)
-(trans s34 s252)
-(trans s34 s265)
-(trans s35 s246)
-(trans s35 s259)
-(trans s35 s272)
-(trans s36 s253)
-(trans s36 s266)
-(trans s36 s279)
-(trans s37 s260)
-(trans s37 s273)
-(trans s37 s286)
-(trans s38 s267)
-(trans s38 s280)
-(trans s38 s293)
-(trans s39 s274)
-(trans s39 s287)
-(trans s39 s300)
-(trans s40 s281)
-(trans s40 s294)
-(trans s40 s307)
-(trans s41 s288)
-(trans s41 s301)
-(trans s41 s314)
-(trans s42 s295)
-(trans s42 s308)
-(trans s42 s321)
-(trans s43 s302)
-(trans s43 s315)
-(trans s43 s328)
-(trans s44 s309)
-(trans s44 s322)
-(trans s44 s335)
-(trans s45 s316)
-(trans s45 s329)
-(trans s45 s342)
-(trans s46 s323)
-(trans s46 s336)
-(trans s46 s349)
-(trans s47 s330)
-(trans s47 s343)
-(trans s47 s356)
-(trans s48 s337)
-(trans s48 s350)
-(trans s48 s363)
-(trans s49 s344)
-(trans s49 s357)
-(trans s49 s370)
-(trans s50 s351)
-(trans s50 s364)
-(trans s50 s377)
-(trans s51 s358)
-(trans s51 s371)
-(trans s51 s384)
-(trans s52 s365)
-(trans s52 s378)
-(trans s52 s391)
-(trans s53 s372)
-(trans s53 s385)
-(trans s53 s398)
-(trans s54 s379)
-(trans s54 s392)
-(trans s54 s405)
-(trans s55 s386)
-(trans s55 s399)
-(trans s55 s412)
-(trans s56 s393)
-(trans s56 s406)
-(trans s56 s419)
-(trans s57 s400)
-(trans s57 s413)
-(trans s57 s426)
-(trans s58 s407)
-(trans s58 s420)
-(trans s58 s433)
-(trans s59 s414)
-(trans s59 s427)
-(trans s59 s440)
-(trans s60 s421)
-(trans s60 s434)
-(trans s60 s447)
-(trans s61 s428)
-(trans s61 s441)
-(trans s61 s454)
-(trans s62 s435)
-(trans s62 s448)
-(trans s62 s461)
-(trans s63 s442)
-(trans s63 s455)
-(trans s63 s468)
-(trans s64 s449)
-(trans s64 s462)
-(trans s64 s475)
-(trans s65 s456)
-(trans s65 s469)
-(trans s65 s482)
-(trans s66 s463)
-(trans s66 s476)
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-(trans s67 s470)
-(trans s67 s483)
-(trans s67 s496)
-(trans s68 s477)
-(trans s68 s490)
-(trans s68 s503)
-(trans s69 s484)
-(trans s69 s497)
-(trans s69 s510)
-(trans s70 s491)
-(trans s70 s504)
-(trans s70 s517)
-(trans s71 s498)
-(trans s71 s511)
-(trans s71 s524)
-(trans s72 s505)
-(trans s72 s518)
-(trans s72 s531)
-(trans s73 s512)
-(trans s73 s525)
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-(trans s74 s519)
-(trans s74 s532)
-(trans s74 s545)
-(trans s75 s526)
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-(trans s75 s552)
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-(trans s76 s546)
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-(trans s77 s540)
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-(trans s77 s566)
-(trans s78 s547)
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-(trans s79 s567)
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-(trans s80 s587)
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-(trans s83 s595)
-(trans s83 s608)
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-(trans s84 s602)
-(trans s84 s615)
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-(trans s85 s609)
-(trans s85 s622)
-(trans s86 s603)
-(trans s86 s616)
-(trans s86 s629)
-(trans s87 s610)
-(trans s87 s623)
-(trans s87 s636)
-(trans s88 s617)
-(trans s88 s630)
-(trans s88 s643)
-(trans s89 s624)
-(trans s89 s637)
-(trans s89 s650)
-(trans s90 s631)
-(trans s90 s644)
-(trans s90 s657)
-(trans s91 s638)
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-(trans s91 s664)
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-(trans s92 s658)
-(trans s92 s671)
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-(trans s93 s678)
-(trans s94 s659)
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-(trans s94 s685)
-(trans s95 s666)
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-(trans s95 s692)
-(trans s96 s673)
-(trans s96 s686)
-(trans s96 s699)
-(trans s97 s680)
-(trans s97 s693)
-(trans s97 s706)
-(trans s98 s687)
-(trans s98 s700)
-(trans s98 s713)
-(trans s99 s694)
-(trans s99 s707)
-(trans s99 s720)
-(trans s100 s701)
-(trans s100 s714)
-(trans s100 s727)
-(trans s101 s708)
-(trans s101 s721)
-(trans s101 s734)
-(trans s102 s715)
-(trans s102 s728)
-(trans s102 s741)
-(trans s103 s722)
-(trans s103 s735)
-(trans s103 s748)
-(trans s104 s729)
-(trans s104 s742)
-(trans s104 s755)
-(trans s105 s736)
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-(trans s5960 s5721)
-(trans s5960 s5734)
-(trans s5960 s5747)
-(trans s5961 s5728)
-(trans s5961 s5741)
-(trans s5961 s5754)
-(trans s5962 s5735)
-(trans s5962 s5748)
-(trans s5962 s5761)
-(trans s5963 s5742)
-(trans s5963 s5755)
-(trans s5963 s5768)
-(trans s5964 s5749)
-(trans s5964 s5762)
-(trans s5964 s5775)
-(trans s5965 s5756)
-(trans s5965 s5769)
-(trans s5965 s5782)
-(trans s5966 s5763)
-(trans s5966 s5776)
-(trans s5966 s5789)
-(trans s5967 s5770)
-(trans s5967 s5783)
-(trans s5967 s5796)
-(trans s5968 s5777)
-(trans s5968 s5790)
-(trans s5968 s5803)
-(trans s5969 s5784)
-(trans s5969 s5797)
-(trans s5969 s5810)
-(trans s5970 s5791)
-(trans s5970 s5804)
-(trans s5970 s5817)
-(trans s5971 s5798)
-(trans s5971 s5811)
-(trans s5971 s5824)
-(trans s5972 s5805)
-(trans s5972 s5818)
-(trans s5972 s5831)
-(trans s5973 s5812)
-(trans s5973 s5825)
-(trans s5973 s5838)
-(trans s5974 s5819)
-(trans s5974 s5832)
-(trans s5974 s5845)
-(trans s5975 s5826)
-(trans s5975 s5839)
-(trans s5975 s5852)
-(trans s5976 s5833)
-(trans s5976 s5846)
-(trans s5976 s5859)
-(trans s5977 s5840)
-(trans s5977 s5853)
-(trans s5977 s5866)
-(trans s5978 s5847)
-(trans s5978 s5860)
-(trans s5978 s5873)
-(trans s5979 s5854)
-(trans s5979 s5867)
-(trans s5979 s5880)
-(trans s5980 s5861)
-(trans s5980 s5874)
-(trans s5980 s5887)
-(trans s5981 s5868)
-(trans s5981 s5881)
-(trans s5981 s5894)
-(trans s5982 s5875)
-(trans s5982 s5888)
-(trans s5982 s5901)
-(trans s5983 s5882)
-(trans s5983 s5895)
-(trans s5983 s5908)
-(trans s5984 s5889)
-(trans s5984 s5902)
-(trans s5984 s5915)
-(trans s5985 s5896)
-(trans s5985 s5909)
-(trans s5985 s5922)
-(trans s5986 s5903)
-(trans s5986 s5916)
-(trans s5986 s5929)
-(trans s5987 s5910)
-(trans s5987 s5923)
-(trans s5987 s5936)
-(trans s5988 s5917)
-(trans s5988 s5930)
-(trans s5988 s5943)
-(trans s5989 s5924)
-(trans s5989 s5937)
-(trans s5989 s5950)
-(trans s5990 s5931)
-(trans s5990 s5944)
-(trans s5990 s5957)
-(trans s5991 s5938)
-(trans s5991 s5951)
-(trans s5991 s5964)
-(trans s5992 s5945)
-(trans s5992 s5958)
-(trans s5992 s5971)
-(trans s5993 s5952)
-(trans s5993 s5965)
-(trans s5993 s5978)
-(trans s5994 s5959)
-(trans s5994 s5972)
-(trans s5994 s5985)
-(trans s5995 s5966)
-(trans s5995 s5979)
-(trans s5995 s5992)
-(trans s5996 s5973)
-(trans s5996 s5986)
-(trans s5996 s5999)
-(trans s5997 s5980)
-(trans s5997 s5993)
-(trans s5997 s6)
-(trans s5998 s5987)
-(trans s5998 s0)
-(trans s5998 s13)
-(trans s5999 s5994)
-(trans s5999 s7)
-(trans s5999 s20)
-(state s0)
-(fuelN (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S Z)))))))))))))))))))))))))))))))))))))))))
-
-(exec (1 Z) (, (exec (1 $l) $p $t) (fuelN (S $k)) (state $s) (trans $s $u))
-            (O (+ (exec (1 (S $l)) $p $t)) (+ (state $u)) (+ (fuelN $k)) (- (fuelN (S $k)))))
diff --git a/examples/transforms/pc2_delta.mm2 b/examples/transforms/pc2_delta.mm2
deleted file mode 100644
index 19a14162..00000000
--- a/examples/transforms/pc2_delta.mm2
+++ /dev/null
@@ -1,4010 +0,0 @@
-(petri (? c0 p0 (! c1 p1)))
-(petri (? c1 p1 (! c2 p2)))
-(petri (? c2 p2 (! c3 p3)))
-(petri (? c3 p3 (! c4 p4)))
-(petri (? c4 p4 (! c5 p5)))
-(petri (? c5 p5 (! c6 p6)))
-(petri (? c6 p6 (! c7 p7)))
-(petri (? c7 p7 (! c8 p8)))
-(petri (? c8 p8 (! c9 p9)))
-(petri (? c9 p9 (! c10 p10)))
-(petri (? c10 p10 (! c11 p11)))
-(petri (? c11 p11 (! c12 p12)))
-(petri (? c12 p12 (! c13 p13)))
-(petri (? c13 p13 (! c14 p14)))
-(petri (? c14 p14 (! c15 p15)))
-(petri (? c15 p15 (! c16 p16)))
-(petri (? c16 p16 (! c17 p17)))
-(petri (? c17 p17 (! c18 p18)))
-(petri (? c18 p18 (! c19 p19)))
-(petri (? c19 p19 (! c20 p20)))
-(petri (? c20 p20 (! c21 p21)))
-(petri (? c21 p21 (! c22 p22)))
-(petri (? c22 p22 (! c23 p23)))
-(petri (? c23 p23 (! c24 p24)))
-(petri (? c24 p24 (! c25 p25)))
-(petri (? c25 p25 (! c26 p26)))
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-(petri (? c28 p28 (! c29 p29)))
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-(petri (? c31 p31 (! c32 p32)))
-(petri (? c32 p32 (! c33 p33)))
-(petri (? c33 p33 (! c34 p34)))
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-(petri (? c35 p35 (! c36 p36)))
-(petri (? c36 p36 (! c37 p37)))
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-(petri (? c38 p38 (! c39 p39)))
-(petri (? c39 p39 (! c40 p40)))
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-(petri (? c45 p45 (! c46 p46)))
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-(petri (? c63 p63 (! c64 p64)))
-(petri (? c64 p64 (! c65 p65)))
-(petri (? c65 p65 (! c66 p66)))
-(petri (? c66 p66 (! c67 p67)))
-(petri (? c67 p67 (! c68 p68)))
-(petri (? c68 p68 (! c69 p69)))
-(petri (? c69 p69 (! c70 p70)))
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-(petri (? c71 p71 (! c72 p72)))
-(petri (? c72 p72 (! c73 p73)))
-(petri (? c73 p73 (! c74 p74)))
-(petri (? c74 p74 (! c75 p75)))
-(petri (? c75 p75 (! c76 p76)))
-(petri (? c76 p76 (! c77 p77)))
-(petri (? c77 p77 (! c78 p78)))
-(petri (? c78 p78 (! c79 p79)))
-(petri (? c79 p79 (! c80 p80)))
-(petri (? c80 p80 (! c81 p81)))
-(petri (? c81 p81 (! c82 p82)))
-(petri (? c82 p82 (! c83 p83)))
-(petri (? c83 p83 (! c84 p84)))
-(petri (? c84 p84 (! c85 p85)))
-(petri (? c85 p85 (! c86 p86)))
-(petri (? c86 p86 (! c87 p87)))
-(petri (? c87 p87 (! c88 p88)))
-(petri (? c88 p88 (! c89 p89)))
-(petri (? c89 p89 (! c90 p90)))
-(petri (? c90 p90 (! c91 p91)))
-(petri (? c91 p91 (! c92 p92)))
-(petri (? c92 p92 (! c93 p93)))
-(petri (? c93 p93 (! c94 p94)))
-(petri (? c94 p94 (! c95 p95)))
-(petri (? c95 p95 (! c96 p96)))
-(petri (? c96 p96 (! c97 p97)))
-(petri (? c97 p97 (! c98 p98)))
-(petri (? c98 p98 (! c99 p99)))
-(petri (? c99 p99 (! c100 p100)))
-(petri (? c100 p100 (! c101 p101)))
-(petri (? c101 p101 (! c102 p102)))
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-(petri (? c103 p103 (! c104 p104)))
-(petri (? c104 p104 (! c105 p105)))
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-(petri (? c107 p107 (! c108 p108)))
-(petri (? c108 p108 (! c109 p109)))
-(petri (? c109 p109 (! c110 p110)))
-(petri (? c110 p110 (! c111 p111)))
-(petri (? c111 p111 (! c112 p112)))
-(petri (? c112 p112 (! c113 p113)))
-(petri (? c113 p113 (! c114 p114)))
-(petri (? c114 p114 (! c115 p115)))
-(petri (? c115 p115 (! c116 p116)))
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-(petri (? c117 p117 (! c118 p118)))
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-(petri (? c121 p121 (! c122 p122)))
-(petri (? c122 p122 (! c123 p123)))
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-(petri (? c125 p125 (! c126 p126)))
-(petri (? c126 p126 (! c127 p127)))
-(petri (? c127 p127 (! c128 p128)))
-(petri (? c128 p128 (! c129 p129)))
-(petri (? c129 p129 (! c130 p130)))
-(petri (? c130 p130 (! c131 p131)))
-(petri (? c131 p131 (! c132 p132)))
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-(petri (? c140 p140 (! c141 p141)))
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-(petri (? c143 p143 (! c144 p144)))
-(petri (? c144 p144 (! c145 p145)))
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-(petri (? c157 p157 (! c158 p158)))
-(petri (? c158 p158 (! c159 p159)))
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-(petri (? c161 p161 (! c162 p162)))
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-(petri (? c171 p171 (! c172 p172)))
-(petri (? c172 p172 (! c173 p173)))
-(petri (? c173 p173 (! c174 p174)))
-(petri (? c174 p174 (! c175 p175)))
-(petri (? c175 p175 (! c176 p176)))
-(petri (? c176 p176 (! c177 p177)))
-(petri (? c177 p177 (! c178 p178)))
-(petri (? c178 p178 (! c179 p179)))
-(petri (? c179 p179 (! c180 p180)))
-(petri (? c180 p180 (! c181 p181)))
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-(petri (? c182 p182 (! c183 p183)))
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-(petri (? c218 p218 (! c219 p219)))
-(petri (? c219 p219 (! c220 p220)))
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-(petri (? c221 p221 (! c222 p222)))
-(petri (? c222 p222 (! c223 p223)))
-(petri (? c223 p223 (! c224 p224)))
-(petri (? c224 p224 (! c225 p225)))
-(petri (? c225 p225 (! c226 p226)))
-(petri (? c226 p226 (! c227 p227)))
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-(petri (? c230 p230 (! c231 p231)))
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-(petri (? c233 p233 (! c234 p234)))
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-(petri (? c236 p236 (! c237 p237)))
-(petri (? c237 p237 (! c238 p238)))
-(petri (? c238 p238 (! c239 p239)))
-(petri (? c239 p239 (! c240 p240)))
-(petri (? c240 p240 (! c241 p241)))
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-(petri (? c243 p243 (! c244 p244)))
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-(petri (? c247 p247 (! c248 p248)))
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-(petri (? c250 p250 (! c251 p251)))
-(petri (? c251 p251 (! c252 p252)))
-(petri (? c252 p252 (! c253 p253)))
-(petri (? c253 p253 (! c254 p254)))
-(petri (? c254 p254 (! c255 p255)))
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-(petri (? c266 p266 (! c267 p267)))
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-(petri (? c268 p268 (! c269 p269)))
-(petri (? c269 p269 (! c270 p270)))
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-(petri (? c272 p272 (! c273 p273)))
-(petri (? c273 p273 (! c274 p274)))
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-(petri (? c279 p279 (! c280 p280)))
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-(petri (? c283 p283 (! c284 p284)))
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-(petri (? c362 p362 (! c363 p363)))
-(petri (? c363 p363 (! c364 p364)))
-(petri (? c364 p364 (! c365 p365)))
-(petri (? c365 p365 (! c366 p366)))
-(petri (? c366 p366 (! c367 p367)))
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-(petri (? c368 p368 (! c369 p369)))
-(petri (? c369 p369 (! c370 p370)))
-(petri (? c370 p370 (! c371 p371)))
-(petri (? c371 p371 (! c372 p372)))
-(petri (? c372 p372 (! c373 p373)))
-(petri (? c373 p373 (! c374 p374)))
-(petri (? c374 p374 (! c375 p375)))
-(petri (? c375 p375 (! c376 p376)))
-(petri (? c376 p376 (! c377 p377)))
-(petri (? c377 p377 (! c378 p378)))
-(petri (? c378 p378 (! c379 p379)))
-(petri (? c379 p379 (! c380 p380)))
-(petri (? c380 p380 (! c381 p381)))
-(petri (? c381 p381 (! c382 p382)))
-(petri (? c382 p382 (! c383 p383)))
-(petri (? c383 p383 (! c384 p384)))
-(petri (? c384 p384 (! c385 p385)))
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-(petri (? c1259 p1259 (! c1260 p1260)))
-(petri (? c1260 p1260 (! c1261 p1261)))
-(petri (? c1261 p1261 (! c1262 p1262)))
-(petri (? c1262 p1262 (! c1263 p1263)))
-(petri (? c1263 p1263 (! c1264 p1264)))
-(petri (? c1264 p1264 (! c1265 p1265)))
-(petri (? c1265 p1265 (! c1266 p1266)))
-(petri (? c1266 p1266 (! c1267 p1267)))
-(petri (? c1267 p1267 (! c1268 p1268)))
-(petri (? c1268 p1268 (! c1269 p1269)))
-(petri (? c1269 p1269 (! c1270 p1270)))
-(petri (? c1270 p1270 (! c1271 p1271)))
-(petri (? c1271 p1271 (! c1272 p1272)))
-(petri (? c1272 p1272 (! c1273 p1273)))
-(petri (? c1273 p1273 (! c1274 p1274)))
-(petri (? c1274 p1274 (! c1275 p1275)))
-(petri (? c1275 p1275 (! c1276 p1276)))
-(petri (? c1276 p1276 (! c1277 p1277)))
-(petri (? c1277 p1277 (! c1278 p1278)))
-(petri (? c1278 p1278 (! c1279 p1279)))
-(petri (? c1279 p1279 (! c1280 p1280)))
-(petri (? c1280 p1280 (! c1281 p1281)))
-(petri (? c1281 p1281 (! c1282 p1282)))
-(petri (? c1282 p1282 (! c1283 p1283)))
-(petri (? c1283 p1283 (! c1284 p1284)))
-(petri (? c1284 p1284 (! c1285 p1285)))
-(petri (? c1285 p1285 (! c1286 p1286)))
-(petri (? c1286 p1286 (! c1287 p1287)))
-(petri (? c1287 p1287 (! c1288 p1288)))
-(petri (? c1288 p1288 (! c1289 p1289)))
-(petri (? c1289 p1289 (! c1290 p1290)))
-(petri (? c1290 p1290 (! c1291 p1291)))
-(petri (? c1291 p1291 (! c1292 p1292)))
-(petri (? c1292 p1292 (! c1293 p1293)))
-(petri (? c1293 p1293 (! c1294 p1294)))
-(petri (? c1294 p1294 (! c1295 p1295)))
-(petri (? c1295 p1295 (! c1296 p1296)))
-(petri (? c1296 p1296 (! c1297 p1297)))
-(petri (? c1297 p1297 (! c1298 p1298)))
-(petri (? c1298 p1298 (! c1299 p1299)))
-(petri (? c1299 p1299 (! c1300 p1300)))
-(petri (? c1300 p1300 (! c1301 p1301)))
-(petri (? c1301 p1301 (! c1302 p1302)))
-(petri (? c1302 p1302 (! c1303 p1303)))
-(petri (? c1303 p1303 (! c1304 p1304)))
-(petri (? c1304 p1304 (! c1305 p1305)))
-(petri (? c1305 p1305 (! c1306 p1306)))
-(petri (? c1306 p1306 (! c1307 p1307)))
-(petri (? c1307 p1307 (! c1308 p1308)))
-(petri (? c1308 p1308 (! c1309 p1309)))
-(petri (? c1309 p1309 (! c1310 p1310)))
-(petri (? c1310 p1310 (! c1311 p1311)))
-(petri (? c1311 p1311 (! c1312 p1312)))
-(petri (? c1312 p1312 (! c1313 p1313)))
-(petri (? c1313 p1313 (! c1314 p1314)))
-(petri (? c1314 p1314 (! c1315 p1315)))
-(petri (? c1315 p1315 (! c1316 p1316)))
-(petri (? c1316 p1316 (! c1317 p1317)))
-(petri (? c1317 p1317 (! c1318 p1318)))
-(petri (? c1318 p1318 (! c1319 p1319)))
-(petri (? c1319 p1319 (! c1320 p1320)))
-(petri (? c1320 p1320 (! c1321 p1321)))
-(petri (? c1321 p1321 (! c1322 p1322)))
-(petri (? c1322 p1322 (! c1323 p1323)))
-(petri (? c1323 p1323 (! c1324 p1324)))
-(petri (? c1324 p1324 (! c1325 p1325)))
-(petri (? c1325 p1325 (! c1326 p1326)))
-(petri (? c1326 p1326 (! c1327 p1327)))
-(petri (? c1327 p1327 (! c1328 p1328)))
-(petri (? c1328 p1328 (! c1329 p1329)))
-(petri (? c1329 p1329 (! c1330 p1330)))
-(petri (? c1330 p1330 (! c1331 p1331)))
-(petri (? c1331 p1331 (! c1332 p1332)))
-(petri (? c1332 p1332 (! c1333 p1333)))
-(petri (? c1333 p1333 (! c1334 p1334)))
-(petri (? c1334 p1334 (! c1335 p1335)))
-(petri (? c1335 p1335 (! c1336 p1336)))
-(petri (? c1336 p1336 (! c1337 p1337)))
-(petri (? c1337 p1337 (! c1338 p1338)))
-(petri (? c1338 p1338 (! c1339 p1339)))
-(petri (? c1339 p1339 (! c1340 p1340)))
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-(petri (? c1341 p1341 (! c1342 p1342)))
-(petri (? c1342 p1342 (! c1343 p1343)))
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-(petri (? c1345 p1345 (! c1346 p1346)))
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-(petri (? c1347 p1347 (! c1348 p1348)))
-(petri (? c1348 p1348 (! c1349 p1349)))
-(petri (? c1349 p1349 (! c1350 p1350)))
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-(petri (? c1351 p1351 (! c1352 p1352)))
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-(petri (? c1353 p1353 (! c1354 p1354)))
-(petri (? c1354 p1354 (! c1355 p1355)))
-(petri (? c1355 p1355 (! c1356 p1356)))
-(petri (? c1356 p1356 (! c1357 p1357)))
-(petri (? c1357 p1357 (! c1358 p1358)))
-(petri (? c1358 p1358 (! c1359 p1359)))
-(petri (? c1359 p1359 (! c1360 p1360)))
-(petri (? c1360 p1360 (! c1361 p1361)))
-(petri (? c1361 p1361 (! c1362 p1362)))
-(petri (? c1362 p1362 (! c1363 p1363)))
-(petri (? c1363 p1363 (! c1364 p1364)))
-(petri (? c1364 p1364 (! c1365 p1365)))
-(petri (? c1365 p1365 (! c1366 p1366)))
-(petri (? c1366 p1366 (! c1367 p1367)))
-(petri (? c1367 p1367 (! c1368 p1368)))
-(petri (? c1368 p1368 (! c1369 p1369)))
-(petri (? c1369 p1369 (! c1370 p1370)))
-(petri (? c1370 p1370 (! c1371 p1371)))
-(petri (? c1371 p1371 (! c1372 p1372)))
-(petri (? c1372 p1372 (! c1373 p1373)))
-(petri (? c1373 p1373 (! c1374 p1374)))
-(petri (? c1374 p1374 (! c1375 p1375)))
-(petri (? c1375 p1375 (! c1376 p1376)))
-(petri (? c1376 p1376 (! c1377 p1377)))
-(petri (? c1377 p1377 (! c1378 p1378)))
-(petri (? c1378 p1378 (! c1379 p1379)))
-(petri (? c1379 p1379 (! c1380 p1380)))
-(petri (? c1380 p1380 (! c1381 p1381)))
-(petri (? c1381 p1381 (! c1382 p1382)))
-(petri (? c1382 p1382 (! c1383 p1383)))
-(petri (? c1383 p1383 (! c1384 p1384)))
-(petri (? c1384 p1384 (! c1385 p1385)))
-(petri (? c1385 p1385 (! c1386 p1386)))
-(petri (? c1386 p1386 (! c1387 p1387)))
-(petri (? c1387 p1387 (! c1388 p1388)))
-(petri (? c1388 p1388 (! c1389 p1389)))
-(petri (? c1389 p1389 (! c1390 p1390)))
-(petri (? c1390 p1390 (! c1391 p1391)))
-(petri (? c1391 p1391 (! c1392 p1392)))
-(petri (? c1392 p1392 (! c1393 p1393)))
-(petri (? c1393 p1393 (! c1394 p1394)))
-(petri (? c1394 p1394 (! c1395 p1395)))
-(petri (? c1395 p1395 (! c1396 p1396)))
-(petri (? c1396 p1396 (! c1397 p1397)))
-(petri (? c1397 p1397 (! c1398 p1398)))
-(petri (? c1398 p1398 (! c1399 p1399)))
-(petri (? c1399 p1399 (! c1400 p1400)))
-(petri (? c1400 p1400 (! c1401 p1401)))
-(petri (? c1401 p1401 (! c1402 p1402)))
-(petri (? c1402 p1402 (! c1403 p1403)))
-(petri (? c1403 p1403 (! c1404 p1404)))
-(petri (? c1404 p1404 (! c1405 p1405)))
-(petri (? c1405 p1405 (! c1406 p1406)))
-(petri (? c1406 p1406 (! c1407 p1407)))
-(petri (? c1407 p1407 (! c1408 p1408)))
-(petri (? c1408 p1408 (! c1409 p1409)))
-(petri (? c1409 p1409 (! c1410 p1410)))
-(petri (? c1410 p1410 (! c1411 p1411)))
-(petri (? c1411 p1411 (! c1412 p1412)))
-(petri (? c1412 p1412 (! c1413 p1413)))
-(petri (? c1413 p1413 (! c1414 p1414)))
-(petri (? c1414 p1414 (! c1415 p1415)))
-(petri (? c1415 p1415 (! c1416 p1416)))
-(petri (? c1416 p1416 (! c1417 p1417)))
-(petri (? c1417 p1417 (! c1418 p1418)))
-(petri (? c1418 p1418 (! c1419 p1419)))
-(petri (? c1419 p1419 (! c1420 p1420)))
-(petri (? c1420 p1420 (! c1421 p1421)))
-(petri (? c1421 p1421 (! c1422 p1422)))
-(petri (? c1422 p1422 (! c1423 p1423)))
-(petri (? c1423 p1423 (! c1424 p1424)))
-(petri (? c1424 p1424 (! c1425 p1425)))
-(petri (? c1425 p1425 (! c1426 p1426)))
-(petri (? c1426 p1426 (! c1427 p1427)))
-(petri (? c1427 p1427 (! c1428 p1428)))
-(petri (? c1428 p1428 (! c1429 p1429)))
-(petri (? c1429 p1429 (! c1430 p1430)))
-(petri (? c1430 p1430 (! c1431 p1431)))
-(petri (? c1431 p1431 (! c1432 p1432)))
-(petri (? c1432 p1432 (! c1433 p1433)))
-(petri (? c1433 p1433 (! c1434 p1434)))
-(petri (? c1434 p1434 (! c1435 p1435)))
-(petri (? c1435 p1435 (! c1436 p1436)))
-(petri (? c1436 p1436 (! c1437 p1437)))
-(petri (? c1437 p1437 (! c1438 p1438)))
-(petri (? c1438 p1438 (! c1439 p1439)))
-(petri (? c1439 p1439 (! c1440 p1440)))
-(petri (? c1440 p1440 (! c1441 p1441)))
-(petri (? c1441 p1441 (! c1442 p1442)))
-(petri (? c1442 p1442 (! c1443 p1443)))
-(petri (? c1443 p1443 (! c1444 p1444)))
-(petri (? c1444 p1444 (! c1445 p1445)))
-(petri (? c1445 p1445 (! c1446 p1446)))
-(petri (? c1446 p1446 (! c1447 p1447)))
-(petri (? c1447 p1447 (! c1448 p1448)))
-(petri (? c1448 p1448 (! c1449 p1449)))
-(petri (? c1449 p1449 (! c1450 p1450)))
-(petri (? c1450 p1450 (! c1451 p1451)))
-(petri (? c1451 p1451 (! c1452 p1452)))
-(petri (? c1452 p1452 (! c1453 p1453)))
-(petri (? c1453 p1453 (! c1454 p1454)))
-(petri (? c1454 p1454 (! c1455 p1455)))
-(petri (? c1455 p1455 (! c1456 p1456)))
-(petri (? c1456 p1456 (! c1457 p1457)))
-(petri (? c1457 p1457 (! c1458 p1458)))
-(petri (? c1458 p1458 (! c1459 p1459)))
-(petri (? c1459 p1459 (! c1460 p1460)))
-(petri (? c1460 p1460 (! c1461 p1461)))
-(petri (? c1461 p1461 (! c1462 p1462)))
-(petri (? c1462 p1462 (! c1463 p1463)))
-(petri (? c1463 p1463 (! c1464 p1464)))
-(petri (? c1464 p1464 (! c1465 p1465)))
-(petri (? c1465 p1465 (! c1466 p1466)))
-(petri (? c1466 p1466 (! c1467 p1467)))
-(petri (? c1467 p1467 (! c1468 p1468)))
-(petri (? c1468 p1468 (! c1469 p1469)))
-(petri (? c1469 p1469 (! c1470 p1470)))
-(petri (? c1470 p1470 (! c1471 p1471)))
-(petri (? c1471 p1471 (! c1472 p1472)))
-(petri (? c1472 p1472 (! c1473 p1473)))
-(petri (? c1473 p1473 (! c1474 p1474)))
-(petri (? c1474 p1474 (! c1475 p1475)))
-(petri (? c1475 p1475 (! c1476 p1476)))
-(petri (? c1476 p1476 (! c1477 p1477)))
-(petri (? c1477 p1477 (! c1478 p1478)))
-(petri (? c1478 p1478 (! c1479 p1479)))
-(petri (? c1479 p1479 (! c1480 p1480)))
-(petri (? c1480 p1480 (! c1481 p1481)))
-(petri (? c1481 p1481 (! c1482 p1482)))
-(petri (? c1482 p1482 (! c1483 p1483)))
-(petri (? c1483 p1483 (! c1484 p1484)))
-(petri (? c1484 p1484 (! c1485 p1485)))
-(petri (? c1485 p1485 (! c1486 p1486)))
-(petri (? c1486 p1486 (! c1487 p1487)))
-(petri (? c1487 p1487 (! c1488 p1488)))
-(petri (? c1488 p1488 (! c1489 p1489)))
-(petri (? c1489 p1489 (! c1490 p1490)))
-(petri (? c1490 p1490 (! c1491 p1491)))
-(petri (? c1491 p1491 (! c1492 p1492)))
-(petri (? c1492 p1492 (! c1493 p1493)))
-(petri (? c1493 p1493 (! c1494 p1494)))
-(petri (? c1494 p1494 (! c1495 p1495)))
-(petri (? c1495 p1495 (! c1496 p1496)))
-(petri (? c1496 p1496 (! c1497 p1497)))
-(petri (? c1497 p1497 (! c1498 p1498)))
-(petri (? c1498 p1498 (! c1499 p1499)))
-(petri (? c1499 p1499 (! c1500 p1500)))
-(petri (? c1500 p1500 (! c1501 p1501)))
-(petri (? c1501 p1501 (! c1502 p1502)))
-(petri (? c1502 p1502 (! c1503 p1503)))
-(petri (? c1503 p1503 (! c1504 p1504)))
-(petri (? c1504 p1504 (! c1505 p1505)))
-(petri (? c1505 p1505 (! c1506 p1506)))
-(petri (? c1506 p1506 (! c1507 p1507)))
-(petri (? c1507 p1507 (! c1508 p1508)))
-(petri (? c1508 p1508 (! c1509 p1509)))
-(petri (? c1509 p1509 (! c1510 p1510)))
-(petri (? c1510 p1510 (! c1511 p1511)))
-(petri (? c1511 p1511 (! c1512 p1512)))
-(petri (? c1512 p1512 (! c1513 p1513)))
-(petri (? c1513 p1513 (! c1514 p1514)))
-(petri (? c1514 p1514 (! c1515 p1515)))
-(petri (? c1515 p1515 (! c1516 p1516)))
-(petri (? c1516 p1516 (! c1517 p1517)))
-(petri (? c1517 p1517 (! c1518 p1518)))
-(petri (? c1518 p1518 (! c1519 p1519)))
-(petri (? c1519 p1519 (! c1520 p1520)))
-(petri (? c1520 p1520 (! c1521 p1521)))
-(petri (? c1521 p1521 (! c1522 p1522)))
-(petri (? c1522 p1522 (! c1523 p1523)))
-(petri (? c1523 p1523 (! c1524 p1524)))
-(petri (? c1524 p1524 (! c1525 p1525)))
-(petri (? c1525 p1525 (! c1526 p1526)))
-(petri (? c1526 p1526 (! c1527 p1527)))
-(petri (? c1527 p1527 (! c1528 p1528)))
-(petri (? c1528 p1528 (! c1529 p1529)))
-(petri (? c1529 p1529 (! c1530 p1530)))
-(petri (? c1530 p1530 (! c1531 p1531)))
-(petri (? c1531 p1531 (! c1532 p1532)))
-(petri (? c1532 p1532 (! c1533 p1533)))
-(petri (? c1533 p1533 (! c1534 p1534)))
-(petri (? c1534 p1534 (! c1535 p1535)))
-(petri (? c1535 p1535 (! c1536 p1536)))
-(petri (? c1536 p1536 (! c1537 p1537)))
-(petri (? c1537 p1537 (! c1538 p1538)))
-(petri (? c1538 p1538 (! c1539 p1539)))
-(petri (? c1539 p1539 (! c1540 p1540)))
-(petri (? c1540 p1540 (! c1541 p1541)))
-(petri (? c1541 p1541 (! c1542 p1542)))
-(petri (? c1542 p1542 (! c1543 p1543)))
-(petri (? c1543 p1543 (! c1544 p1544)))
-(petri (? c1544 p1544 (! c1545 p1545)))
-(petri (? c1545 p1545 (! c1546 p1546)))
-(petri (? c1546 p1546 (! c1547 p1547)))
-(petri (? c1547 p1547 (! c1548 p1548)))
-(petri (? c1548 p1548 (! c1549 p1549)))
-(petri (? c1549 p1549 (! c1550 p1550)))
-(petri (? c1550 p1550 (! c1551 p1551)))
-(petri (? c1551 p1551 (! c1552 p1552)))
-(petri (? c1552 p1552 (! c1553 p1553)))
-(petri (? c1553 p1553 (! c1554 p1554)))
-(petri (? c1554 p1554 (! c1555 p1555)))
-(petri (? c1555 p1555 (! c1556 p1556)))
-(petri (? c1556 p1556 (! c1557 p1557)))
-(petri (? c1557 p1557 (! c1558 p1558)))
-(petri (? c1558 p1558 (! c1559 p1559)))
-(petri (? c1559 p1559 (! c1560 p1560)))
-(petri (? c1560 p1560 (! c1561 p1561)))
-(petri (? c1561 p1561 (! c1562 p1562)))
-(petri (? c1562 p1562 (! c1563 p1563)))
-(petri (? c1563 p1563 (! c1564 p1564)))
-(petri (? c1564 p1564 (! c1565 p1565)))
-(petri (? c1565 p1565 (! c1566 p1566)))
-(petri (? c1566 p1566 (! c1567 p1567)))
-(petri (? c1567 p1567 (! c1568 p1568)))
-(petri (? c1568 p1568 (! c1569 p1569)))
-(petri (? c1569 p1569 (! c1570 p1570)))
-(petri (? c1570 p1570 (! c1571 p1571)))
-(petri (? c1571 p1571 (! c1572 p1572)))
-(petri (? c1572 p1572 (! c1573 p1573)))
-(petri (? c1573 p1573 (! c1574 p1574)))
-(petri (? c1574 p1574 (! c1575 p1575)))
-(petri (? c1575 p1575 (! c1576 p1576)))
-(petri (? c1576 p1576 (! c1577 p1577)))
-(petri (? c1577 p1577 (! c1578 p1578)))
-(petri (? c1578 p1578 (! c1579 p1579)))
-(petri (? c1579 p1579 (! c1580 p1580)))
-(petri (? c1580 p1580 (! c1581 p1581)))
-(petri (? c1581 p1581 (! c1582 p1582)))
-(petri (? c1582 p1582 (! c1583 p1583)))
-(petri (? c1583 p1583 (! c1584 p1584)))
-(petri (? c1584 p1584 (! c1585 p1585)))
-(petri (? c1585 p1585 (! c1586 p1586)))
-(petri (? c1586 p1586 (! c1587 p1587)))
-(petri (? c1587 p1587 (! c1588 p1588)))
-(petri (? c1588 p1588 (! c1589 p1589)))
-(petri (? c1589 p1589 (! c1590 p1590)))
-(petri (? c1590 p1590 (! c1591 p1591)))
-(petri (? c1591 p1591 (! c1592 p1592)))
-(petri (? c1592 p1592 (! c1593 p1593)))
-(petri (? c1593 p1593 (! c1594 p1594)))
-(petri (? c1594 p1594 (! c1595 p1595)))
-(petri (? c1595 p1595 (! c1596 p1596)))
-(petri (? c1596 p1596 (! c1597 p1597)))
-(petri (? c1597 p1597 (! c1598 p1598)))
-(petri (? c1598 p1598 (! c1599 p1599)))
-(petri (? c1599 p1599 (! c1600 p1600)))
-(petri (? c1600 p1600 (! c1601 p1601)))
-(petri (? c1601 p1601 (! c1602 p1602)))
-(petri (? c1602 p1602 (! c1603 p1603)))
-(petri (? c1603 p1603 (! c1604 p1604)))
-(petri (? c1604 p1604 (! c1605 p1605)))
-(petri (? c1605 p1605 (! c1606 p1606)))
-(petri (? c1606 p1606 (! c1607 p1607)))
-(petri (? c1607 p1607 (! c1608 p1608)))
-(petri (? c1608 p1608 (! c1609 p1609)))
-(petri (? c1609 p1609 (! c1610 p1610)))
-(petri (? c1610 p1610 (! c1611 p1611)))
-(petri (? c1611 p1611 (! c1612 p1612)))
-(petri (? c1612 p1612 (! c1613 p1613)))
-(petri (? c1613 p1613 (! c1614 p1614)))
-(petri (? c1614 p1614 (! c1615 p1615)))
-(petri (? c1615 p1615 (! c1616 p1616)))
-(petri (? c1616 p1616 (! c1617 p1617)))
-(petri (? c1617 p1617 (! c1618 p1618)))
-(petri (? c1618 p1618 (! c1619 p1619)))
-(petri (? c1619 p1619 (! c1620 p1620)))
-(petri (? c1620 p1620 (! c1621 p1621)))
-(petri (? c1621 p1621 (! c1622 p1622)))
-(petri (? c1622 p1622 (! c1623 p1623)))
-(petri (? c1623 p1623 (! c1624 p1624)))
-(petri (? c1624 p1624 (! c1625 p1625)))
-(petri (? c1625 p1625 (! c1626 p1626)))
-(petri (? c1626 p1626 (! c1627 p1627)))
-(petri (? c1627 p1627 (! c1628 p1628)))
-(petri (? c1628 p1628 (! c1629 p1629)))
-(petri (? c1629 p1629 (! c1630 p1630)))
-(petri (? c1630 p1630 (! c1631 p1631)))
-(petri (? c1631 p1631 (! c1632 p1632)))
-(petri (? c1632 p1632 (! c1633 p1633)))
-(petri (? c1633 p1633 (! c1634 p1634)))
-(petri (? c1634 p1634 (! c1635 p1635)))
-(petri (? c1635 p1635 (! c1636 p1636)))
-(petri (? c1636 p1636 (! c1637 p1637)))
-(petri (? c1637 p1637 (! c1638 p1638)))
-(petri (? c1638 p1638 (! c1639 p1639)))
-(petri (? c1639 p1639 (! c1640 p1640)))
-(petri (? c1640 p1640 (! c1641 p1641)))
-(petri (? c1641 p1641 (! c1642 p1642)))
-(petri (? c1642 p1642 (! c1643 p1643)))
-(petri (? c1643 p1643 (! c1644 p1644)))
-(petri (? c1644 p1644 (! c1645 p1645)))
-(petri (? c1645 p1645 (! c1646 p1646)))
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-(petri (? c3992 p3992 (! c3993 p3993)))
-(petri (? c3993 p3993 (! c3994 p3994)))
-(petri (? c3994 p3994 (! c3995 p3995)))
-(petri (? c3995 p3995 (! c3996 p3996)))
-(petri (? c3996 p3996 (! c3997 p3997)))
-(petri (? c3997 p3997 (! c3998 p3998)))
-(petri (? c3998 p3998 (! c3999 p3999)))
-(petri (? c3999 p3999 (! c4000 p4000)))
-(petri (! c0 p0))
-(dmsg (! c0 p0))
-(fuel (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S Z)))))))))))))))))))))))))))))))
-
-;; One exec per round: consume the delta, add what it derives to both the soup and the next
-;; delta. No separate promotion pass, so nothing can interleave between them.
-(exec (1 Z) (, (exec (1 $l) $p $t) (fuel (S $k))
-               (petri (? $c $pl $b)) (dmsg (! $c $pl)))
-            (O (+ (exec (1 (S $l)) $p $t)) (+ (petri $b)) (+ (dmsg $b))
-               (- (dmsg (! $c $pl))) (+ (fuel $k)) (- (fuel (S $k)))))
diff --git a/examples/transforms/pc2_naive.mm2 b/examples/transforms/pc2_naive.mm2
deleted file mode 100644
index 1766c9fc..00000000
--- a/examples/transforms/pc2_naive.mm2
+++ /dev/null
@@ -1,4006 +0,0 @@
-(petri (? c0 p0 (! c1 p1)))
-(petri (? c1 p1 (! c2 p2)))
-(petri (? c2 p2 (! c3 p3)))
-(petri (? c3 p3 (! c4 p4)))
-(petri (? c4 p4 (! c5 p5)))
-(petri (? c5 p5 (! c6 p6)))
-(petri (? c6 p6 (! c7 p7)))
-(petri (? c7 p7 (! c8 p8)))
-(petri (? c8 p8 (! c9 p9)))
-(petri (? c9 p9 (! c10 p10)))
-(petri (? c10 p10 (! c11 p11)))
-(petri (? c11 p11 (! c12 p12)))
-(petri (? c12 p12 (! c13 p13)))
-(petri (? c13 p13 (! c14 p14)))
-(petri (? c14 p14 (! c15 p15)))
-(petri (? c15 p15 (! c16 p16)))
-(petri (? c16 p16 (! c17 p17)))
-(petri (? c17 p17 (! c18 p18)))
-(petri (? c18 p18 (! c19 p19)))
-(petri (? c19 p19 (! c20 p20)))
-(petri (? c20 p20 (! c21 p21)))
-(petri (? c21 p21 (! c22 p22)))
-(petri (? c22 p22 (! c23 p23)))
-(petri (? c23 p23 (! c24 p24)))
-(petri (? c24 p24 (! c25 p25)))
-(petri (? c25 p25 (! c26 p26)))
-(petri (? c26 p26 (! c27 p27)))
-(petri (? c27 p27 (! c28 p28)))
-(petri (? c28 p28 (! c29 p29)))
-(petri (? c29 p29 (! c30 p30)))
-(petri (? c30 p30 (! c31 p31)))
-(petri (? c31 p31 (! c32 p32)))
-(petri (? c32 p32 (! c33 p33)))
-(petri (? c33 p33 (! c34 p34)))
-(petri (? c34 p34 (! c35 p35)))
-(petri (? c35 p35 (! c36 p36)))
-(petri (? c36 p36 (! c37 p37)))
-(petri (? c37 p37 (! c38 p38)))
-(petri (? c38 p38 (! c39 p39)))
-(petri (? c39 p39 (! c40 p40)))
-(petri (? c40 p40 (! c41 p41)))
-(petri (? c41 p41 (! c42 p42)))
-(petri (? c42 p42 (! c43 p43)))
-(petri (? c43 p43 (! c44 p44)))
-(petri (? c44 p44 (! c45 p45)))
-(petri (? c45 p45 (! c46 p46)))
-(petri (? c46 p46 (! c47 p47)))
-(petri (? c47 p47 (! c48 p48)))
-(petri (? c48 p48 (! c49 p49)))
-(petri (? c49 p49 (! c50 p50)))
-(petri (? c50 p50 (! c51 p51)))
-(petri (? c51 p51 (! c52 p52)))
-(petri (? c52 p52 (! c53 p53)))
-(petri (? c53 p53 (! c54 p54)))
-(petri (? c54 p54 (! c55 p55)))
-(petri (? c55 p55 (! c56 p56)))
-(petri (? c56 p56 (! c57 p57)))
-(petri (? c57 p57 (! c58 p58)))
-(petri (? c58 p58 (! c59 p59)))
-(petri (? c59 p59 (! c60 p60)))
-(petri (? c60 p60 (! c61 p61)))
-(petri (? c61 p61 (! c62 p62)))
-(petri (? c62 p62 (! c63 p63)))
-(petri (? c63 p63 (! c64 p64)))
-(petri (? c64 p64 (! c65 p65)))
-(petri (? c65 p65 (! c66 p66)))
-(petri (? c66 p66 (! c67 p67)))
-(petri (? c67 p67 (! c68 p68)))
-(petri (? c68 p68 (! c69 p69)))
-(petri (? c69 p69 (! c70 p70)))
-(petri (? c70 p70 (! c71 p71)))
-(petri (? c71 p71 (! c72 p72)))
-(petri (? c72 p72 (! c73 p73)))
-(petri (? c73 p73 (! c74 p74)))
-(petri (? c74 p74 (! c75 p75)))
-(petri (? c75 p75 (! c76 p76)))
-(petri (? c76 p76 (! c77 p77)))
-(petri (? c77 p77 (! c78 p78)))
-(petri (? c78 p78 (! c79 p79)))
-(petri (? c79 p79 (! c80 p80)))
-(petri (? c80 p80 (! c81 p81)))
-(petri (? c81 p81 (! c82 p82)))
-(petri (? c82 p82 (! c83 p83)))
-(petri (? c83 p83 (! c84 p84)))
-(petri (? c84 p84 (! c85 p85)))
-(petri (? c85 p85 (! c86 p86)))
-(petri (? c86 p86 (! c87 p87)))
-(petri (? c87 p87 (! c88 p88)))
-(petri (? c88 p88 (! c89 p89)))
-(petri (? c89 p89 (! c90 p90)))
-(petri (? c90 p90 (! c91 p91)))
-(petri (? c91 p91 (! c92 p92)))
-(petri (? c92 p92 (! c93 p93)))
-(petri (? c93 p93 (! c94 p94)))
-(petri (? c94 p94 (! c95 p95)))
-(petri (? c95 p95 (! c96 p96)))
-(petri (? c96 p96 (! c97 p97)))
-(petri (? c97 p97 (! c98 p98)))
-(petri (? c98 p98 (! c99 p99)))
-(petri (? c99 p99 (! c100 p100)))
-(petri (? c100 p100 (! c101 p101)))
-(petri (? c101 p101 (! c102 p102)))
-(petri (? c102 p102 (! c103 p103)))
-(petri (? c103 p103 (! c104 p104)))
-(petri (? c104 p104 (! c105 p105)))
-(petri (? c105 p105 (! c106 p106)))
-(petri (? c106 p106 (! c107 p107)))
-(petri (? c107 p107 (! c108 p108)))
-(petri (? c108 p108 (! c109 p109)))
-(petri (? c109 p109 (! c110 p110)))
-(petri (? c110 p110 (! c111 p111)))
-(petri (? c111 p111 (! c112 p112)))
-(petri (? c112 p112 (! c113 p113)))
-(petri (? c113 p113 (! c114 p114)))
-(petri (? c114 p114 (! c115 p115)))
-(petri (? c115 p115 (! c116 p116)))
-(petri (? c116 p116 (! c117 p117)))
-(petri (? c117 p117 (! c118 p118)))
-(petri (? c118 p118 (! c119 p119)))
-(petri (? c119 p119 (! c120 p120)))
-(petri (? c120 p120 (! c121 p121)))
-(petri (? c121 p121 (! c122 p122)))
-(petri (? c122 p122 (! c123 p123)))
-(petri (? c123 p123 (! c124 p124)))
-(petri (? c124 p124 (! c125 p125)))
-(petri (? c125 p125 (! c126 p126)))
-(petri (? c126 p126 (! c127 p127)))
-(petri (? c127 p127 (! c128 p128)))
-(petri (? c128 p128 (! c129 p129)))
-(petri (? c129 p129 (! c130 p130)))
-(petri (? c130 p130 (! c131 p131)))
-(petri (? c131 p131 (! c132 p132)))
-(petri (? c132 p132 (! c133 p133)))
-(petri (? c133 p133 (! c134 p134)))
-(petri (? c134 p134 (! c135 p135)))
-(petri (? c135 p135 (! c136 p136)))
-(petri (? c136 p136 (! c137 p137)))
-(petri (? c137 p137 (! c138 p138)))
-(petri (? c138 p138 (! c139 p139)))
-(petri (? c139 p139 (! c140 p140)))
-(petri (? c140 p140 (! c141 p141)))
-(petri (? c141 p141 (! c142 p142)))
-(petri (? c142 p142 (! c143 p143)))
-(petri (? c143 p143 (! c144 p144)))
-(petri (? c144 p144 (! c145 p145)))
-(petri (? c145 p145 (! c146 p146)))
-(petri (? c146 p146 (! c147 p147)))
-(petri (? c147 p147 (! c148 p148)))
-(petri (? c148 p148 (! c149 p149)))
-(petri (? c149 p149 (! c150 p150)))
-(petri (? c150 p150 (! c151 p151)))
-(petri (? c151 p151 (! c152 p152)))
-(petri (? c152 p152 (! c153 p153)))
-(petri (? c153 p153 (! c154 p154)))
-(petri (? c154 p154 (! c155 p155)))
-(petri (? c155 p155 (! c156 p156)))
-(petri (? c156 p156 (! c157 p157)))
-(petri (? c157 p157 (! c158 p158)))
-(petri (? c158 p158 (! c159 p159)))
-(petri (? c159 p159 (! c160 p160)))
-(petri (? c160 p160 (! c161 p161)))
-(petri (? c161 p161 (! c162 p162)))
-(petri (? c162 p162 (! c163 p163)))
-(petri (? c163 p163 (! c164 p164)))
-(petri (? c164 p164 (! c165 p165)))
-(petri (? c165 p165 (! c166 p166)))
-(petri (? c166 p166 (! c167 p167)))
-(petri (? c167 p167 (! c168 p168)))
-(petri (? c168 p168 (! c169 p169)))
-(petri (? c169 p169 (! c170 p170)))
-(petri (? c170 p170 (! c171 p171)))
-(petri (? c171 p171 (! c172 p172)))
-(petri (? c172 p172 (! c173 p173)))
-(petri (? c173 p173 (! c174 p174)))
-(petri (? c174 p174 (! c175 p175)))
-(petri (? c175 p175 (! c176 p176)))
-(petri (? c176 p176 (! c177 p177)))
-(petri (? c177 p177 (! c178 p178)))
-(petri (? c178 p178 (! c179 p179)))
-(petri (? c179 p179 (! c180 p180)))
-(petri (? c180 p180 (! c181 p181)))
-(petri (? c181 p181 (! c182 p182)))
-(petri (? c182 p182 (! c183 p183)))
-(petri (? c183 p183 (! c184 p184)))
-(petri (? c184 p184 (! c185 p185)))
-(petri (? c185 p185 (! c186 p186)))
-(petri (? c186 p186 (! c187 p187)))
-(petri (? c187 p187 (! c188 p188)))
-(petri (? c188 p188 (! c189 p189)))
-(petri (? c189 p189 (! c190 p190)))
-(petri (? c190 p190 (! c191 p191)))
-(petri (? c191 p191 (! c192 p192)))
-(petri (? c192 p192 (! c193 p193)))
-(petri (? c193 p193 (! c194 p194)))
-(petri (? c194 p194 (! c195 p195)))
-(petri (? c195 p195 (! c196 p196)))
-(petri (? c196 p196 (! c197 p197)))
-(petri (? c197 p197 (! c198 p198)))
-(petri (? c198 p198 (! c199 p199)))
-(petri (? c199 p199 (! c200 p200)))
-(petri (? c200 p200 (! c201 p201)))
-(petri (? c201 p201 (! c202 p202)))
-(petri (? c202 p202 (! c203 p203)))
-(petri (? c203 p203 (! c204 p204)))
-(petri (? c204 p204 (! c205 p205)))
-(petri (? c205 p205 (! c206 p206)))
-(petri (? c206 p206 (! c207 p207)))
-(petri (? c207 p207 (! c208 p208)))
-(petri (? c208 p208 (! c209 p209)))
-(petri (? c209 p209 (! c210 p210)))
-(petri (? c210 p210 (! c211 p211)))
-(petri (? c211 p211 (! c212 p212)))
-(petri (? c212 p212 (! c213 p213)))
-(petri (? c213 p213 (! c214 p214)))
-(petri (? c214 p214 (! c215 p215)))
-(petri (? c215 p215 (! c216 p216)))
-(petri (? c216 p216 (! c217 p217)))
-(petri (? c217 p217 (! c218 p218)))
-(petri (? c218 p218 (! c219 p219)))
-(petri (? c219 p219 (! c220 p220)))
-(petri (? c220 p220 (! c221 p221)))
-(petri (? c221 p221 (! c222 p222)))
-(petri (? c222 p222 (! c223 p223)))
-(petri (? c223 p223 (! c224 p224)))
-(petri (? c224 p224 (! c225 p225)))
-(petri (? c225 p225 (! c226 p226)))
-(petri (? c226 p226 (! c227 p227)))
-(petri (? c227 p227 (! c228 p228)))
-(petri (? c228 p228 (! c229 p229)))
-(petri (? c229 p229 (! c230 p230)))
-(petri (? c230 p230 (! c231 p231)))
-(petri (? c231 p231 (! c232 p232)))
-(petri (? c232 p232 (! c233 p233)))
-(petri (? c233 p233 (! c234 p234)))
-(petri (? c234 p234 (! c235 p235)))
-(petri (? c235 p235 (! c236 p236)))
-(petri (? c236 p236 (! c237 p237)))
-(petri (? c237 p237 (! c238 p238)))
-(petri (? c238 p238 (! c239 p239)))
-(petri (? c239 p239 (! c240 p240)))
-(petri (? c240 p240 (! c241 p241)))
-(petri (? c241 p241 (! c242 p242)))
-(petri (? c242 p242 (! c243 p243)))
-(petri (? c243 p243 (! c244 p244)))
-(petri (? c244 p244 (! c245 p245)))
-(petri (? c245 p245 (! c246 p246)))
-(petri (? c246 p246 (! c247 p247)))
-(petri (? c247 p247 (! c248 p248)))
-(petri (? c248 p248 (! c249 p249)))
-(petri (? c249 p249 (! c250 p250)))
-(petri (? c250 p250 (! c251 p251)))
-(petri (? c251 p251 (! c252 p252)))
-(petri (? c252 p252 (! c253 p253)))
-(petri (? c253 p253 (! c254 p254)))
-(petri (? c254 p254 (! c255 p255)))
-(petri (? c255 p255 (! c256 p256)))
-(petri (? c256 p256 (! c257 p257)))
-(petri (? c257 p257 (! c258 p258)))
-(petri (? c258 p258 (! c259 p259)))
-(petri (? c259 p259 (! c260 p260)))
-(petri (? c260 p260 (! c261 p261)))
-(petri (? c261 p261 (! c262 p262)))
-(petri (? c262 p262 (! c263 p263)))
-(petri (? c263 p263 (! c264 p264)))
-(petri (? c264 p264 (! c265 p265)))
-(petri (? c265 p265 (! c266 p266)))
-(petri (? c266 p266 (! c267 p267)))
-(petri (? c267 p267 (! c268 p268)))
-(petri (? c268 p268 (! c269 p269)))
-(petri (? c269 p269 (! c270 p270)))
-(petri (? c270 p270 (! c271 p271)))
-(petri (? c271 p271 (! c272 p272)))
-(petri (? c272 p272 (! c273 p273)))
-(petri (? c273 p273 (! c274 p274)))
-(petri (? c274 p274 (! c275 p275)))
-(petri (? c275 p275 (! c276 p276)))
-(petri (? c276 p276 (! c277 p277)))
-(petri (? c277 p277 (! c278 p278)))
-(petri (? c278 p278 (! c279 p279)))
-(petri (? c279 p279 (! c280 p280)))
-(petri (? c280 p280 (! c281 p281)))
-(petri (? c281 p281 (! c282 p282)))
-(petri (? c282 p282 (! c283 p283)))
-(petri (? c283 p283 (! c284 p284)))
-(petri (? c284 p284 (! c285 p285)))
-(petri (? c285 p285 (! c286 p286)))
-(petri (? c286 p286 (! c287 p287)))
-(petri (? c287 p287 (! c288 p288)))
-(petri (? c288 p288 (! c289 p289)))
-(petri (? c289 p289 (! c290 p290)))
-(petri (? c290 p290 (! c291 p291)))
-(petri (? c291 p291 (! c292 p292)))
-(petri (? c292 p292 (! c293 p293)))
-(petri (? c293 p293 (! c294 p294)))
-(petri (? c294 p294 (! c295 p295)))
-(petri (? c295 p295 (! c296 p296)))
-(petri (? c296 p296 (! c297 p297)))
-(petri (? c297 p297 (! c298 p298)))
-(petri (? c298 p298 (! c299 p299)))
-(petri (? c299 p299 (! c300 p300)))
-(petri (? c300 p300 (! c301 p301)))
-(petri (? c301 p301 (! c302 p302)))
-(petri (? c302 p302 (! c303 p303)))
-(petri (? c303 p303 (! c304 p304)))
-(petri (? c304 p304 (! c305 p305)))
-(petri (? c305 p305 (! c306 p306)))
-(petri (? c306 p306 (! c307 p307)))
-(petri (? c307 p307 (! c308 p308)))
-(petri (? c308 p308 (! c309 p309)))
-(petri (? c309 p309 (! c310 p310)))
-(petri (? c310 p310 (! c311 p311)))
-(petri (? c311 p311 (! c312 p312)))
-(petri (? c312 p312 (! c313 p313)))
-(petri (? c313 p313 (! c314 p314)))
-(petri (? c314 p314 (! c315 p315)))
-(petri (? c315 p315 (! c316 p316)))
-(petri (? c316 p316 (! c317 p317)))
-(petri (? c317 p317 (! c318 p318)))
-(petri (? c318 p318 (! c319 p319)))
-(petri (? c319 p319 (! c320 p320)))
-(petri (? c320 p320 (! c321 p321)))
-(petri (? c321 p321 (! c322 p322)))
-(petri (? c322 p322 (! c323 p323)))
-(petri (? c323 p323 (! c324 p324)))
-(petri (? c324 p324 (! c325 p325)))
-(petri (? c325 p325 (! c326 p326)))
-(petri (? c326 p326 (! c327 p327)))
-(petri (? c327 p327 (! c328 p328)))
-(petri (? c328 p328 (! c329 p329)))
-(petri (? c329 p329 (! c330 p330)))
-(petri (? c330 p330 (! c331 p331)))
-(petri (? c331 p331 (! c332 p332)))
-(petri (? c332 p332 (! c333 p333)))
-(petri (? c333 p333 (! c334 p334)))
-(petri (? c334 p334 (! c335 p335)))
-(petri (? c335 p335 (! c336 p336)))
-(petri (? c336 p336 (! c337 p337)))
-(petri (? c337 p337 (! c338 p338)))
-(petri (? c338 p338 (! c339 p339)))
-(petri (? c339 p339 (! c340 p340)))
-(petri (? c340 p340 (! c341 p341)))
-(petri (? c341 p341 (! c342 p342)))
-(petri (? c342 p342 (! c343 p343)))
-(petri (? c343 p343 (! c344 p344)))
-(petri (? c344 p344 (! c345 p345)))
-(petri (? c345 p345 (! c346 p346)))
-(petri (? c346 p346 (! c347 p347)))
-(petri (? c347 p347 (! c348 p348)))
-(petri (? c348 p348 (! c349 p349)))
-(petri (? c349 p349 (! c350 p350)))
-(petri (? c350 p350 (! c351 p351)))
-(petri (? c351 p351 (! c352 p352)))
-(petri (? c352 p352 (! c353 p353)))
-(petri (? c353 p353 (! c354 p354)))
-(petri (? c354 p354 (! c355 p355)))
-(petri (? c355 p355 (! c356 p356)))
-(petri (? c356 p356 (! c357 p357)))
-(petri (? c357 p357 (! c358 p358)))
-(petri (? c358 p358 (! c359 p359)))
-(petri (? c359 p359 (! c360 p360)))
-(petri (? c360 p360 (! c361 p361)))
-(petri (? c361 p361 (! c362 p362)))
-(petri (? c362 p362 (! c363 p363)))
-(petri (? c363 p363 (! c364 p364)))
-(petri (? c364 p364 (! c365 p365)))
-(petri (? c365 p365 (! c366 p366)))
-(petri (? c366 p366 (! c367 p367)))
-(petri (? c367 p367 (! c368 p368)))
-(petri (? c368 p368 (! c369 p369)))
-(petri (? c369 p369 (! c370 p370)))
-(petri (? c370 p370 (! c371 p371)))
-(petri (? c371 p371 (! c372 p372)))
-(petri (? c372 p372 (! c373 p373)))
-(petri (? c373 p373 (! c374 p374)))
-(petri (? c374 p374 (! c375 p375)))
-(petri (? c375 p375 (! c376 p376)))
-(petri (? c376 p376 (! c377 p377)))
-(petri (? c377 p377 (! c378 p378)))
-(petri (? c378 p378 (! c379 p379)))
-(petri (? c379 p379 (! c380 p380)))
-(petri (? c380 p380 (! c381 p381)))
-(petri (? c381 p381 (! c382 p382)))
-(petri (? c382 p382 (! c383 p383)))
-(petri (? c383 p383 (! c384 p384)))
-(petri (? c384 p384 (! c385 p385)))
-(petri (? c385 p385 (! c386 p386)))
-(petri (? c386 p386 (! c387 p387)))
-(petri (? c387 p387 (! c388 p388)))
-(petri (? c388 p388 (! c389 p389)))
-(petri (? c389 p389 (! c390 p390)))
-(petri (? c390 p390 (! c391 p391)))
-(petri (? c391 p391 (! c392 p392)))
-(petri (? c392 p392 (! c393 p393)))
-(petri (? c393 p393 (! c394 p394)))
-(petri (? c394 p394 (! c395 p395)))
-(petri (? c395 p395 (! c396 p396)))
-(petri (? c396 p396 (! c397 p397)))
-(petri (? c397 p397 (! c398 p398)))
-(petri (? c398 p398 (! c399 p399)))
-(petri (? c399 p399 (! c400 p400)))
-(petri (? c400 p400 (! c401 p401)))
-(petri (? c401 p401 (! c402 p402)))
-(petri (? c402 p402 (! c403 p403)))
-(petri (? c403 p403 (! c404 p404)))
-(petri (? c404 p404 (! c405 p405)))
-(petri (? c405 p405 (! c406 p406)))
-(petri (? c406 p406 (! c407 p407)))
-(petri (? c407 p407 (! c408 p408)))
-(petri (? c408 p408 (! c409 p409)))
-(petri (? c409 p409 (! c410 p410)))
-(petri (? c410 p410 (! c411 p411)))
-(petri (? c411 p411 (! c412 p412)))
-(petri (? c412 p412 (! c413 p413)))
-(petri (? c413 p413 (! c414 p414)))
-(petri (? c414 p414 (! c415 p415)))
-(petri (? c415 p415 (! c416 p416)))
-(petri (? c416 p416 (! c417 p417)))
-(petri (? c417 p417 (! c418 p418)))
-(petri (? c418 p418 (! c419 p419)))
-(petri (? c419 p419 (! c420 p420)))
-(petri (? c420 p420 (! c421 p421)))
-(petri (? c421 p421 (! c422 p422)))
-(petri (? c422 p422 (! c423 p423)))
-(petri (? c423 p423 (! c424 p424)))
-(petri (? c424 p424 (! c425 p425)))
-(petri (? c425 p425 (! c426 p426)))
-(petri (? c426 p426 (! c427 p427)))
-(petri (? c427 p427 (! c428 p428)))
-(petri (? c428 p428 (! c429 p429)))
-(petri (? c429 p429 (! c430 p430)))
-(petri (? c430 p430 (! c431 p431)))
-(petri (? c431 p431 (! c432 p432)))
-(petri (? c432 p432 (! c433 p433)))
-(petri (? c433 p433 (! c434 p434)))
-(petri (? c434 p434 (! c435 p435)))
-(petri (? c435 p435 (! c436 p436)))
-(petri (? c436 p436 (! c437 p437)))
-(petri (? c437 p437 (! c438 p438)))
-(petri (? c438 p438 (! c439 p439)))
-(petri (? c439 p439 (! c440 p440)))
-(petri (? c440 p440 (! c441 p441)))
-(petri (? c441 p441 (! c442 p442)))
-(petri (? c442 p442 (! c443 p443)))
-(petri (? c443 p443 (! c444 p444)))
-(petri (? c444 p444 (! c445 p445)))
-(petri (? c445 p445 (! c446 p446)))
-(petri (? c446 p446 (! c447 p447)))
-(petri (? c447 p447 (! c448 p448)))
-(petri (? c448 p448 (! c449 p449)))
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-(petri (? c913 p913 (! c914 p914)))
-(petri (? c914 p914 (! c915 p915)))
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-(petri (? c1290 p1290 (! c1291 p1291)))
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-(petri (? c1302 p1302 (! c1303 p1303)))
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-(petri (? c1304 p1304 (! c1305 p1305)))
-(petri (? c1305 p1305 (! c1306 p1306)))
-(petri (? c1306 p1306 (! c1307 p1307)))
-(petri (? c1307 p1307 (! c1308 p1308)))
-(petri (? c1308 p1308 (! c1309 p1309)))
-(petri (? c1309 p1309 (! c1310 p1310)))
-(petri (? c1310 p1310 (! c1311 p1311)))
-(petri (? c1311 p1311 (! c1312 p1312)))
-(petri (? c1312 p1312 (! c1313 p1313)))
-(petri (? c1313 p1313 (! c1314 p1314)))
-(petri (? c1314 p1314 (! c1315 p1315)))
-(petri (? c1315 p1315 (! c1316 p1316)))
-(petri (? c1316 p1316 (! c1317 p1317)))
-(petri (? c1317 p1317 (! c1318 p1318)))
-(petri (? c1318 p1318 (! c1319 p1319)))
-(petri (? c1319 p1319 (! c1320 p1320)))
-(petri (? c1320 p1320 (! c1321 p1321)))
-(petri (? c1321 p1321 (! c1322 p1322)))
-(petri (? c1322 p1322 (! c1323 p1323)))
-(petri (? c1323 p1323 (! c1324 p1324)))
-(petri (? c1324 p1324 (! c1325 p1325)))
-(petri (? c1325 p1325 (! c1326 p1326)))
-(petri (? c1326 p1326 (! c1327 p1327)))
-(petri (? c1327 p1327 (! c1328 p1328)))
-(petri (? c1328 p1328 (! c1329 p1329)))
-(petri (? c1329 p1329 (! c1330 p1330)))
-(petri (? c1330 p1330 (! c1331 p1331)))
-(petri (? c1331 p1331 (! c1332 p1332)))
-(petri (? c1332 p1332 (! c1333 p1333)))
-(petri (? c1333 p1333 (! c1334 p1334)))
-(petri (? c1334 p1334 (! c1335 p1335)))
-(petri (? c1335 p1335 (! c1336 p1336)))
-(petri (? c1336 p1336 (! c1337 p1337)))
-(petri (? c1337 p1337 (! c1338 p1338)))
-(petri (? c1338 p1338 (! c1339 p1339)))
-(petri (? c1339 p1339 (! c1340 p1340)))
-(petri (? c1340 p1340 (! c1341 p1341)))
-(petri (? c1341 p1341 (! c1342 p1342)))
-(petri (? c1342 p1342 (! c1343 p1343)))
-(petri (? c1343 p1343 (! c1344 p1344)))
-(petri (? c1344 p1344 (! c1345 p1345)))
-(petri (? c1345 p1345 (! c1346 p1346)))
-(petri (? c1346 p1346 (! c1347 p1347)))
-(petri (? c1347 p1347 (! c1348 p1348)))
-(petri (? c1348 p1348 (! c1349 p1349)))
-(petri (? c1349 p1349 (! c1350 p1350)))
-(petri (? c1350 p1350 (! c1351 p1351)))
-(petri (? c1351 p1351 (! c1352 p1352)))
-(petri (? c1352 p1352 (! c1353 p1353)))
-(petri (? c1353 p1353 (! c1354 p1354)))
-(petri (? c1354 p1354 (! c1355 p1355)))
-(petri (? c1355 p1355 (! c1356 p1356)))
-(petri (? c1356 p1356 (! c1357 p1357)))
-(petri (? c1357 p1357 (! c1358 p1358)))
-(petri (? c1358 p1358 (! c1359 p1359)))
-(petri (? c1359 p1359 (! c1360 p1360)))
-(petri (? c1360 p1360 (! c1361 p1361)))
-(petri (? c1361 p1361 (! c1362 p1362)))
-(petri (? c1362 p1362 (! c1363 p1363)))
-(petri (? c1363 p1363 (! c1364 p1364)))
-(petri (? c1364 p1364 (! c1365 p1365)))
-(petri (? c1365 p1365 (! c1366 p1366)))
-(petri (? c1366 p1366 (! c1367 p1367)))
-(petri (? c1367 p1367 (! c1368 p1368)))
-(petri (? c1368 p1368 (! c1369 p1369)))
-(petri (? c1369 p1369 (! c1370 p1370)))
-(petri (? c1370 p1370 (! c1371 p1371)))
-(petri (? c1371 p1371 (! c1372 p1372)))
-(petri (? c1372 p1372 (! c1373 p1373)))
-(petri (? c1373 p1373 (! c1374 p1374)))
-(petri (? c1374 p1374 (! c1375 p1375)))
-(petri (? c1375 p1375 (! c1376 p1376)))
-(petri (? c1376 p1376 (! c1377 p1377)))
-(petri (? c1377 p1377 (! c1378 p1378)))
-(petri (? c1378 p1378 (! c1379 p1379)))
-(petri (? c1379 p1379 (! c1380 p1380)))
-(petri (? c1380 p1380 (! c1381 p1381)))
-(petri (? c1381 p1381 (! c1382 p1382)))
-(petri (? c1382 p1382 (! c1383 p1383)))
-(petri (? c1383 p1383 (! c1384 p1384)))
-(petri (? c1384 p1384 (! c1385 p1385)))
-(petri (? c1385 p1385 (! c1386 p1386)))
-(petri (? c1386 p1386 (! c1387 p1387)))
-(petri (? c1387 p1387 (! c1388 p1388)))
-(petri (? c1388 p1388 (! c1389 p1389)))
-(petri (? c1389 p1389 (! c1390 p1390)))
-(petri (? c1390 p1390 (! c1391 p1391)))
-(petri (? c1391 p1391 (! c1392 p1392)))
-(petri (? c1392 p1392 (! c1393 p1393)))
-(petri (? c1393 p1393 (! c1394 p1394)))
-(petri (? c1394 p1394 (! c1395 p1395)))
-(petri (? c1395 p1395 (! c1396 p1396)))
-(petri (? c1396 p1396 (! c1397 p1397)))
-(petri (? c1397 p1397 (! c1398 p1398)))
-(petri (? c1398 p1398 (! c1399 p1399)))
-(petri (? c1399 p1399 (! c1400 p1400)))
-(petri (? c1400 p1400 (! c1401 p1401)))
-(petri (? c1401 p1401 (! c1402 p1402)))
-(petri (? c1402 p1402 (! c1403 p1403)))
-(petri (? c1403 p1403 (! c1404 p1404)))
-(petri (? c1404 p1404 (! c1405 p1405)))
-(petri (? c1405 p1405 (! c1406 p1406)))
-(petri (? c1406 p1406 (! c1407 p1407)))
-(petri (? c1407 p1407 (! c1408 p1408)))
-(petri (? c1408 p1408 (! c1409 p1409)))
-(petri (? c1409 p1409 (! c1410 p1410)))
-(petri (? c1410 p1410 (! c1411 p1411)))
-(petri (? c1411 p1411 (! c1412 p1412)))
-(petri (? c1412 p1412 (! c1413 p1413)))
-(petri (? c1413 p1413 (! c1414 p1414)))
-(petri (? c1414 p1414 (! c1415 p1415)))
-(petri (? c1415 p1415 (! c1416 p1416)))
-(petri (? c1416 p1416 (! c1417 p1417)))
-(petri (? c1417 p1417 (! c1418 p1418)))
-(petri (? c1418 p1418 (! c1419 p1419)))
-(petri (? c1419 p1419 (! c1420 p1420)))
-(petri (? c1420 p1420 (! c1421 p1421)))
-(petri (? c1421 p1421 (! c1422 p1422)))
-(petri (? c1422 p1422 (! c1423 p1423)))
-(petri (? c1423 p1423 (! c1424 p1424)))
-(petri (? c1424 p1424 (! c1425 p1425)))
-(petri (? c1425 p1425 (! c1426 p1426)))
-(petri (? c1426 p1426 (! c1427 p1427)))
-(petri (? c1427 p1427 (! c1428 p1428)))
-(petri (? c1428 p1428 (! c1429 p1429)))
-(petri (? c1429 p1429 (! c1430 p1430)))
-(petri (? c1430 p1430 (! c1431 p1431)))
-(petri (? c1431 p1431 (! c1432 p1432)))
-(petri (? c1432 p1432 (! c1433 p1433)))
-(petri (? c1433 p1433 (! c1434 p1434)))
-(petri (? c1434 p1434 (! c1435 p1435)))
-(petri (? c1435 p1435 (! c1436 p1436)))
-(petri (? c1436 p1436 (! c1437 p1437)))
-(petri (? c1437 p1437 (! c1438 p1438)))
-(petri (? c1438 p1438 (! c1439 p1439)))
-(petri (? c1439 p1439 (! c1440 p1440)))
-(petri (? c1440 p1440 (! c1441 p1441)))
-(petri (? c1441 p1441 (! c1442 p1442)))
-(petri (? c1442 p1442 (! c1443 p1443)))
-(petri (? c1443 p1443 (! c1444 p1444)))
-(petri (? c1444 p1444 (! c1445 p1445)))
-(petri (? c1445 p1445 (! c1446 p1446)))
-(petri (? c1446 p1446 (! c1447 p1447)))
-(petri (? c1447 p1447 (! c1448 p1448)))
-(petri (? c1448 p1448 (! c1449 p1449)))
-(petri (? c1449 p1449 (! c1450 p1450)))
-(petri (? c1450 p1450 (! c1451 p1451)))
-(petri (? c1451 p1451 (! c1452 p1452)))
-(petri (? c1452 p1452 (! c1453 p1453)))
-(petri (? c1453 p1453 (! c1454 p1454)))
-(petri (? c1454 p1454 (! c1455 p1455)))
-(petri (? c1455 p1455 (! c1456 p1456)))
-(petri (? c1456 p1456 (! c1457 p1457)))
-(petri (? c1457 p1457 (! c1458 p1458)))
-(petri (? c1458 p1458 (! c1459 p1459)))
-(petri (? c1459 p1459 (! c1460 p1460)))
-(petri (? c1460 p1460 (! c1461 p1461)))
-(petri (? c1461 p1461 (! c1462 p1462)))
-(petri (? c1462 p1462 (! c1463 p1463)))
-(petri (? c1463 p1463 (! c1464 p1464)))
-(petri (? c1464 p1464 (! c1465 p1465)))
-(petri (? c1465 p1465 (! c1466 p1466)))
-(petri (? c1466 p1466 (! c1467 p1467)))
-(petri (? c1467 p1467 (! c1468 p1468)))
-(petri (? c1468 p1468 (! c1469 p1469)))
-(petri (? c1469 p1469 (! c1470 p1470)))
-(petri (? c1470 p1470 (! c1471 p1471)))
-(petri (? c1471 p1471 (! c1472 p1472)))
-(petri (? c1472 p1472 (! c1473 p1473)))
-(petri (? c1473 p1473 (! c1474 p1474)))
-(petri (? c1474 p1474 (! c1475 p1475)))
-(petri (? c1475 p1475 (! c1476 p1476)))
-(petri (? c1476 p1476 (! c1477 p1477)))
-(petri (? c1477 p1477 (! c1478 p1478)))
-(petri (? c1478 p1478 (! c1479 p1479)))
-(petri (? c1479 p1479 (! c1480 p1480)))
-(petri (? c1480 p1480 (! c1481 p1481)))
-(petri (? c1481 p1481 (! c1482 p1482)))
-(petri (? c1482 p1482 (! c1483 p1483)))
-(petri (? c1483 p1483 (! c1484 p1484)))
-(petri (? c1484 p1484 (! c1485 p1485)))
-(petri (? c1485 p1485 (! c1486 p1486)))
-(petri (? c1486 p1486 (! c1487 p1487)))
-(petri (? c1487 p1487 (! c1488 p1488)))
-(petri (? c1488 p1488 (! c1489 p1489)))
-(petri (? c1489 p1489 (! c1490 p1490)))
-(petri (? c1490 p1490 (! c1491 p1491)))
-(petri (? c1491 p1491 (! c1492 p1492)))
-(petri (? c1492 p1492 (! c1493 p1493)))
-(petri (? c1493 p1493 (! c1494 p1494)))
-(petri (? c1494 p1494 (! c1495 p1495)))
-(petri (? c1495 p1495 (! c1496 p1496)))
-(petri (? c1496 p1496 (! c1497 p1497)))
-(petri (? c1497 p1497 (! c1498 p1498)))
-(petri (? c1498 p1498 (! c1499 p1499)))
-(petri (? c1499 p1499 (! c1500 p1500)))
-(petri (? c1500 p1500 (! c1501 p1501)))
-(petri (? c1501 p1501 (! c1502 p1502)))
-(petri (? c1502 p1502 (! c1503 p1503)))
-(petri (? c1503 p1503 (! c1504 p1504)))
-(petri (? c1504 p1504 (! c1505 p1505)))
-(petri (? c1505 p1505 (! c1506 p1506)))
-(petri (? c1506 p1506 (! c1507 p1507)))
-(petri (? c1507 p1507 (! c1508 p1508)))
-(petri (? c1508 p1508 (! c1509 p1509)))
-(petri (? c1509 p1509 (! c1510 p1510)))
-(petri (? c1510 p1510 (! c1511 p1511)))
-(petri (? c1511 p1511 (! c1512 p1512)))
-(petri (? c1512 p1512 (! c1513 p1513)))
-(petri (? c1513 p1513 (! c1514 p1514)))
-(petri (? c1514 p1514 (! c1515 p1515)))
-(petri (? c1515 p1515 (! c1516 p1516)))
-(petri (? c1516 p1516 (! c1517 p1517)))
-(petri (? c1517 p1517 (! c1518 p1518)))
-(petri (? c1518 p1518 (! c1519 p1519)))
-(petri (? c1519 p1519 (! c1520 p1520)))
-(petri (? c1520 p1520 (! c1521 p1521)))
-(petri (? c1521 p1521 (! c1522 p1522)))
-(petri (? c1522 p1522 (! c1523 p1523)))
-(petri (? c1523 p1523 (! c1524 p1524)))
-(petri (? c1524 p1524 (! c1525 p1525)))
-(petri (? c1525 p1525 (! c1526 p1526)))
-(petri (? c1526 p1526 (! c1527 p1527)))
-(petri (? c1527 p1527 (! c1528 p1528)))
-(petri (? c1528 p1528 (! c1529 p1529)))
-(petri (? c1529 p1529 (! c1530 p1530)))
-(petri (? c1530 p1530 (! c1531 p1531)))
-(petri (? c1531 p1531 (! c1532 p1532)))
-(petri (? c1532 p1532 (! c1533 p1533)))
-(petri (? c1533 p1533 (! c1534 p1534)))
-(petri (? c1534 p1534 (! c1535 p1535)))
-(petri (? c1535 p1535 (! c1536 p1536)))
-(petri (? c1536 p1536 (! c1537 p1537)))
-(petri (? c1537 p1537 (! c1538 p1538)))
-(petri (? c1538 p1538 (! c1539 p1539)))
-(petri (? c1539 p1539 (! c1540 p1540)))
-(petri (? c1540 p1540 (! c1541 p1541)))
-(petri (? c1541 p1541 (! c1542 p1542)))
-(petri (? c1542 p1542 (! c1543 p1543)))
-(petri (? c1543 p1543 (! c1544 p1544)))
-(petri (? c1544 p1544 (! c1545 p1545)))
-(petri (? c1545 p1545 (! c1546 p1546)))
-(petri (? c1546 p1546 (! c1547 p1547)))
-(petri (? c1547 p1547 (! c1548 p1548)))
-(petri (? c1548 p1548 (! c1549 p1549)))
-(petri (? c1549 p1549 (! c1550 p1550)))
-(petri (? c1550 p1550 (! c1551 p1551)))
-(petri (? c1551 p1551 (! c1552 p1552)))
-(petri (? c1552 p1552 (! c1553 p1553)))
-(petri (? c1553 p1553 (! c1554 p1554)))
-(petri (? c1554 p1554 (! c1555 p1555)))
-(petri (? c1555 p1555 (! c1556 p1556)))
-(petri (? c1556 p1556 (! c1557 p1557)))
-(petri (? c1557 p1557 (! c1558 p1558)))
-(petri (? c1558 p1558 (! c1559 p1559)))
-(petri (? c1559 p1559 (! c1560 p1560)))
-(petri (? c1560 p1560 (! c1561 p1561)))
-(petri (? c1561 p1561 (! c1562 p1562)))
-(petri (? c1562 p1562 (! c1563 p1563)))
-(petri (? c1563 p1563 (! c1564 p1564)))
-(petri (? c1564 p1564 (! c1565 p1565)))
-(petri (? c1565 p1565 (! c1566 p1566)))
-(petri (? c1566 p1566 (! c1567 p1567)))
-(petri (? c1567 p1567 (! c1568 p1568)))
-(petri (? c1568 p1568 (! c1569 p1569)))
-(petri (? c1569 p1569 (! c1570 p1570)))
-(petri (? c1570 p1570 (! c1571 p1571)))
-(petri (? c1571 p1571 (! c1572 p1572)))
-(petri (? c1572 p1572 (! c1573 p1573)))
-(petri (? c1573 p1573 (! c1574 p1574)))
-(petri (? c1574 p1574 (! c1575 p1575)))
-(petri (? c1575 p1575 (! c1576 p1576)))
-(petri (? c1576 p1576 (! c1577 p1577)))
-(petri (? c1577 p1577 (! c1578 p1578)))
-(petri (? c1578 p1578 (! c1579 p1579)))
-(petri (? c1579 p1579 (! c1580 p1580)))
-(petri (? c1580 p1580 (! c1581 p1581)))
-(petri (? c1581 p1581 (! c1582 p1582)))
-(petri (? c1582 p1582 (! c1583 p1583)))
-(petri (? c1583 p1583 (! c1584 p1584)))
-(petri (? c1584 p1584 (! c1585 p1585)))
-(petri (? c1585 p1585 (! c1586 p1586)))
-(petri (? c1586 p1586 (! c1587 p1587)))
-(petri (? c1587 p1587 (! c1588 p1588)))
-(petri (? c1588 p1588 (! c1589 p1589)))
-(petri (? c1589 p1589 (! c1590 p1590)))
-(petri (? c1590 p1590 (! c1591 p1591)))
-(petri (? c1591 p1591 (! c1592 p1592)))
-(petri (? c1592 p1592 (! c1593 p1593)))
-(petri (? c1593 p1593 (! c1594 p1594)))
-(petri (? c1594 p1594 (! c1595 p1595)))
-(petri (? c1595 p1595 (! c1596 p1596)))
-(petri (? c1596 p1596 (! c1597 p1597)))
-(petri (? c1597 p1597 (! c1598 p1598)))
-(petri (? c1598 p1598 (! c1599 p1599)))
-(petri (? c1599 p1599 (! c1600 p1600)))
-(petri (? c1600 p1600 (! c1601 p1601)))
-(petri (? c1601 p1601 (! c1602 p1602)))
-(petri (? c1602 p1602 (! c1603 p1603)))
-(petri (? c1603 p1603 (! c1604 p1604)))
-(petri (? c1604 p1604 (! c1605 p1605)))
-(petri (? c1605 p1605 (! c1606 p1606)))
-(petri (? c1606 p1606 (! c1607 p1607)))
-(petri (? c1607 p1607 (! c1608 p1608)))
-(petri (? c1608 p1608 (! c1609 p1609)))
-(petri (? c1609 p1609 (! c1610 p1610)))
-(petri (? c1610 p1610 (! c1611 p1611)))
-(petri (? c1611 p1611 (! c1612 p1612)))
-(petri (? c1612 p1612 (! c1613 p1613)))
-(petri (? c1613 p1613 (! c1614 p1614)))
-(petri (? c1614 p1614 (! c1615 p1615)))
-(petri (? c1615 p1615 (! c1616 p1616)))
-(petri (? c1616 p1616 (! c1617 p1617)))
-(petri (? c1617 p1617 (! c1618 p1618)))
-(petri (? c1618 p1618 (! c1619 p1619)))
-(petri (? c1619 p1619 (! c1620 p1620)))
-(petri (? c1620 p1620 (! c1621 p1621)))
-(petri (? c1621 p1621 (! c1622 p1622)))
-(petri (? c1622 p1622 (! c1623 p1623)))
-(petri (? c1623 p1623 (! c1624 p1624)))
-(petri (? c1624 p1624 (! c1625 p1625)))
-(petri (? c1625 p1625 (! c1626 p1626)))
-(petri (? c1626 p1626 (! c1627 p1627)))
-(petri (? c1627 p1627 (! c1628 p1628)))
-(petri (? c1628 p1628 (! c1629 p1629)))
-(petri (? c1629 p1629 (! c1630 p1630)))
-(petri (? c1630 p1630 (! c1631 p1631)))
-(petri (? c1631 p1631 (! c1632 p1632)))
-(petri (? c1632 p1632 (! c1633 p1633)))
-(petri (? c1633 p1633 (! c1634 p1634)))
-(petri (? c1634 p1634 (! c1635 p1635)))
-(petri (? c1635 p1635 (! c1636 p1636)))
-(petri (? c1636 p1636 (! c1637 p1637)))
-(petri (? c1637 p1637 (! c1638 p1638)))
-(petri (? c1638 p1638 (! c1639 p1639)))
-(petri (? c1639 p1639 (! c1640 p1640)))
-(petri (? c1640 p1640 (! c1641 p1641)))
-(petri (? c1641 p1641 (! c1642 p1642)))
-(petri (? c1642 p1642 (! c1643 p1643)))
-(petri (? c1643 p1643 (! c1644 p1644)))
-(petri (? c1644 p1644 (! c1645 p1645)))
-(petri (? c1645 p1645 (! c1646 p1646)))
-(petri (? c1646 p1646 (! c1647 p1647)))
-(petri (? c1647 p1647 (! c1648 p1648)))
-(petri (? c1648 p1648 (! c1649 p1649)))
-(petri (? c1649 p1649 (! c1650 p1650)))
-(petri (? c1650 p1650 (! c1651 p1651)))
-(petri (? c1651 p1651 (! c1652 p1652)))
-(petri (? c1652 p1652 (! c1653 p1653)))
-(petri (? c1653 p1653 (! c1654 p1654)))
-(petri (? c1654 p1654 (! c1655 p1655)))
-(petri (? c1655 p1655 (! c1656 p1656)))
-(petri (? c1656 p1656 (! c1657 p1657)))
-(petri (? c1657 p1657 (! c1658 p1658)))
-(petri (? c1658 p1658 (! c1659 p1659)))
-(petri (? c1659 p1659 (! c1660 p1660)))
-(petri (? c1660 p1660 (! c1661 p1661)))
-(petri (? c1661 p1661 (! c1662 p1662)))
-(petri (? c1662 p1662 (! c1663 p1663)))
-(petri (? c1663 p1663 (! c1664 p1664)))
-(petri (? c1664 p1664 (! c1665 p1665)))
-(petri (? c1665 p1665 (! c1666 p1666)))
-(petri (? c1666 p1666 (! c1667 p1667)))
-(petri (? c1667 p1667 (! c1668 p1668)))
-(petri (? c1668 p1668 (! c1669 p1669)))
-(petri (? c1669 p1669 (! c1670 p1670)))
-(petri (? c1670 p1670 (! c1671 p1671)))
-(petri (? c1671 p1671 (! c1672 p1672)))
-(petri (? c1672 p1672 (! c1673 p1673)))
-(petri (? c1673 p1673 (! c1674 p1674)))
-(petri (? c1674 p1674 (! c1675 p1675)))
-(petri (? c1675 p1675 (! c1676 p1676)))
-(petri (? c1676 p1676 (! c1677 p1677)))
-(petri (? c1677 p1677 (! c1678 p1678)))
-(petri (? c1678 p1678 (! c1679 p1679)))
-(petri (? c1679 p1679 (! c1680 p1680)))
-(petri (? c1680 p1680 (! c1681 p1681)))
-(petri (? c1681 p1681 (! c1682 p1682)))
-(petri (? c1682 p1682 (! c1683 p1683)))
-(petri (? c1683 p1683 (! c1684 p1684)))
-(petri (? c1684 p1684 (! c1685 p1685)))
-(petri (? c1685 p1685 (! c1686 p1686)))
-(petri (? c1686 p1686 (! c1687 p1687)))
-(petri (? c1687 p1687 (! c1688 p1688)))
-(petri (? c1688 p1688 (! c1689 p1689)))
-(petri (? c1689 p1689 (! c1690 p1690)))
-(petri (? c1690 p1690 (! c1691 p1691)))
-(petri (? c1691 p1691 (! c1692 p1692)))
-(petri (? c1692 p1692 (! c1693 p1693)))
-(petri (? c1693 p1693 (! c1694 p1694)))
-(petri (? c1694 p1694 (! c1695 p1695)))
-(petri (? c1695 p1695 (! c1696 p1696)))
-(petri (? c1696 p1696 (! c1697 p1697)))
-(petri (? c1697 p1697 (! c1698 p1698)))
-(petri (? c1698 p1698 (! c1699 p1699)))
-(petri (? c1699 p1699 (! c1700 p1700)))
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-(petri (? c3656 p3656 (! c3657 p3657)))
-(petri (? c3657 p3657 (! c3658 p3658)))
-(petri (? c3658 p3658 (! c3659 p3659)))
-(petri (? c3659 p3659 (! c3660 p3660)))
-(petri (? c3660 p3660 (! c3661 p3661)))
-(petri (? c3661 p3661 (! c3662 p3662)))
-(petri (? c3662 p3662 (! c3663 p3663)))
-(petri (? c3663 p3663 (! c3664 p3664)))
-(petri (? c3664 p3664 (! c3665 p3665)))
-(petri (? c3665 p3665 (! c3666 p3666)))
-(petri (? c3666 p3666 (! c3667 p3667)))
-(petri (? c3667 p3667 (! c3668 p3668)))
-(petri (? c3668 p3668 (! c3669 p3669)))
-(petri (? c3669 p3669 (! c3670 p3670)))
-(petri (? c3670 p3670 (! c3671 p3671)))
-(petri (? c3671 p3671 (! c3672 p3672)))
-(petri (? c3672 p3672 (! c3673 p3673)))
-(petri (? c3673 p3673 (! c3674 p3674)))
-(petri (? c3674 p3674 (! c3675 p3675)))
-(petri (? c3675 p3675 (! c3676 p3676)))
-(petri (? c3676 p3676 (! c3677 p3677)))
-(petri (? c3677 p3677 (! c3678 p3678)))
-(petri (? c3678 p3678 (! c3679 p3679)))
-(petri (? c3679 p3679 (! c3680 p3680)))
-(petri (? c3680 p3680 (! c3681 p3681)))
-(petri (? c3681 p3681 (! c3682 p3682)))
-(petri (? c3682 p3682 (! c3683 p3683)))
-(petri (? c3683 p3683 (! c3684 p3684)))
-(petri (? c3684 p3684 (! c3685 p3685)))
-(petri (? c3685 p3685 (! c3686 p3686)))
-(petri (? c3686 p3686 (! c3687 p3687)))
-(petri (? c3687 p3687 (! c3688 p3688)))
-(petri (? c3688 p3688 (! c3689 p3689)))
-(petri (? c3689 p3689 (! c3690 p3690)))
-(petri (? c3690 p3690 (! c3691 p3691)))
-(petri (? c3691 p3691 (! c3692 p3692)))
-(petri (? c3692 p3692 (! c3693 p3693)))
-(petri (? c3693 p3693 (! c3694 p3694)))
-(petri (? c3694 p3694 (! c3695 p3695)))
-(petri (? c3695 p3695 (! c3696 p3696)))
-(petri (? c3696 p3696 (! c3697 p3697)))
-(petri (? c3697 p3697 (! c3698 p3698)))
-(petri (? c3698 p3698 (! c3699 p3699)))
-(petri (? c3699 p3699 (! c3700 p3700)))
-(petri (? c3700 p3700 (! c3701 p3701)))
-(petri (? c3701 p3701 (! c3702 p3702)))
-(petri (? c3702 p3702 (! c3703 p3703)))
-(petri (? c3703 p3703 (! c3704 p3704)))
-(petri (? c3704 p3704 (! c3705 p3705)))
-(petri (? c3705 p3705 (! c3706 p3706)))
-(petri (? c3706 p3706 (! c3707 p3707)))
-(petri (? c3707 p3707 (! c3708 p3708)))
-(petri (? c3708 p3708 (! c3709 p3709)))
-(petri (? c3709 p3709 (! c3710 p3710)))
-(petri (? c3710 p3710 (! c3711 p3711)))
-(petri (? c3711 p3711 (! c3712 p3712)))
-(petri (? c3712 p3712 (! c3713 p3713)))
-(petri (? c3713 p3713 (! c3714 p3714)))
-(petri (? c3714 p3714 (! c3715 p3715)))
-(petri (? c3715 p3715 (! c3716 p3716)))
-(petri (? c3716 p3716 (! c3717 p3717)))
-(petri (? c3717 p3717 (! c3718 p3718)))
-(petri (? c3718 p3718 (! c3719 p3719)))
-(petri (? c3719 p3719 (! c3720 p3720)))
-(petri (? c3720 p3720 (! c3721 p3721)))
-(petri (? c3721 p3721 (! c3722 p3722)))
-(petri (? c3722 p3722 (! c3723 p3723)))
-(petri (? c3723 p3723 (! c3724 p3724)))
-(petri (? c3724 p3724 (! c3725 p3725)))
-(petri (? c3725 p3725 (! c3726 p3726)))
-(petri (? c3726 p3726 (! c3727 p3727)))
-(petri (? c3727 p3727 (! c3728 p3728)))
-(petri (? c3728 p3728 (! c3729 p3729)))
-(petri (? c3729 p3729 (! c3730 p3730)))
-(petri (? c3730 p3730 (! c3731 p3731)))
-(petri (? c3731 p3731 (! c3732 p3732)))
-(petri (? c3732 p3732 (! c3733 p3733)))
-(petri (? c3733 p3733 (! c3734 p3734)))
-(petri (? c3734 p3734 (! c3735 p3735)))
-(petri (? c3735 p3735 (! c3736 p3736)))
-(petri (? c3736 p3736 (! c3737 p3737)))
-(petri (? c3737 p3737 (! c3738 p3738)))
-(petri (? c3738 p3738 (! c3739 p3739)))
-(petri (? c3739 p3739 (! c3740 p3740)))
-(petri (? c3740 p3740 (! c3741 p3741)))
-(petri (? c3741 p3741 (! c3742 p3742)))
-(petri (? c3742 p3742 (! c3743 p3743)))
-(petri (? c3743 p3743 (! c3744 p3744)))
-(petri (? c3744 p3744 (! c3745 p3745)))
-(petri (? c3745 p3745 (! c3746 p3746)))
-(petri (? c3746 p3746 (! c3747 p3747)))
-(petri (? c3747 p3747 (! c3748 p3748)))
-(petri (? c3748 p3748 (! c3749 p3749)))
-(petri (? c3749 p3749 (! c3750 p3750)))
-(petri (? c3750 p3750 (! c3751 p3751)))
-(petri (? c3751 p3751 (! c3752 p3752)))
-(petri (? c3752 p3752 (! c3753 p3753)))
-(petri (? c3753 p3753 (! c3754 p3754)))
-(petri (? c3754 p3754 (! c3755 p3755)))
-(petri (? c3755 p3755 (! c3756 p3756)))
-(petri (? c3756 p3756 (! c3757 p3757)))
-(petri (? c3757 p3757 (! c3758 p3758)))
-(petri (? c3758 p3758 (! c3759 p3759)))
-(petri (? c3759 p3759 (! c3760 p3760)))
-(petri (? c3760 p3760 (! c3761 p3761)))
-(petri (? c3761 p3761 (! c3762 p3762)))
-(petri (? c3762 p3762 (! c3763 p3763)))
-(petri (? c3763 p3763 (! c3764 p3764)))
-(petri (? c3764 p3764 (! c3765 p3765)))
-(petri (? c3765 p3765 (! c3766 p3766)))
-(petri (? c3766 p3766 (! c3767 p3767)))
-(petri (? c3767 p3767 (! c3768 p3768)))
-(petri (? c3768 p3768 (! c3769 p3769)))
-(petri (? c3769 p3769 (! c3770 p3770)))
-(petri (? c3770 p3770 (! c3771 p3771)))
-(petri (? c3771 p3771 (! c3772 p3772)))
-(petri (? c3772 p3772 (! c3773 p3773)))
-(petri (? c3773 p3773 (! c3774 p3774)))
-(petri (? c3774 p3774 (! c3775 p3775)))
-(petri (? c3775 p3775 (! c3776 p3776)))
-(petri (? c3776 p3776 (! c3777 p3777)))
-(petri (? c3777 p3777 (! c3778 p3778)))
-(petri (? c3778 p3778 (! c3779 p3779)))
-(petri (? c3779 p3779 (! c3780 p3780)))
-(petri (? c3780 p3780 (! c3781 p3781)))
-(petri (? c3781 p3781 (! c3782 p3782)))
-(petri (? c3782 p3782 (! c3783 p3783)))
-(petri (? c3783 p3783 (! c3784 p3784)))
-(petri (? c3784 p3784 (! c3785 p3785)))
-(petri (? c3785 p3785 (! c3786 p3786)))
-(petri (? c3786 p3786 (! c3787 p3787)))
-(petri (? c3787 p3787 (! c3788 p3788)))
-(petri (? c3788 p3788 (! c3789 p3789)))
-(petri (? c3789 p3789 (! c3790 p3790)))
-(petri (? c3790 p3790 (! c3791 p3791)))
-(petri (? c3791 p3791 (! c3792 p3792)))
-(petri (? c3792 p3792 (! c3793 p3793)))
-(petri (? c3793 p3793 (! c3794 p3794)))
-(petri (? c3794 p3794 (! c3795 p3795)))
-(petri (? c3795 p3795 (! c3796 p3796)))
-(petri (? c3796 p3796 (! c3797 p3797)))
-(petri (? c3797 p3797 (! c3798 p3798)))
-(petri (? c3798 p3798 (! c3799 p3799)))
-(petri (? c3799 p3799 (! c3800 p3800)))
-(petri (? c3800 p3800 (! c3801 p3801)))
-(petri (? c3801 p3801 (! c3802 p3802)))
-(petri (? c3802 p3802 (! c3803 p3803)))
-(petri (? c3803 p3803 (! c3804 p3804)))
-(petri (? c3804 p3804 (! c3805 p3805)))
-(petri (? c3805 p3805 (! c3806 p3806)))
-(petri (? c3806 p3806 (! c3807 p3807)))
-(petri (? c3807 p3807 (! c3808 p3808)))
-(petri (? c3808 p3808 (! c3809 p3809)))
-(petri (? c3809 p3809 (! c3810 p3810)))
-(petri (? c3810 p3810 (! c3811 p3811)))
-(petri (? c3811 p3811 (! c3812 p3812)))
-(petri (? c3812 p3812 (! c3813 p3813)))
-(petri (? c3813 p3813 (! c3814 p3814)))
-(petri (? c3814 p3814 (! c3815 p3815)))
-(petri (? c3815 p3815 (! c3816 p3816)))
-(petri (? c3816 p3816 (! c3817 p3817)))
-(petri (? c3817 p3817 (! c3818 p3818)))
-(petri (? c3818 p3818 (! c3819 p3819)))
-(petri (? c3819 p3819 (! c3820 p3820)))
-(petri (? c3820 p3820 (! c3821 p3821)))
-(petri (? c3821 p3821 (! c3822 p3822)))
-(petri (? c3822 p3822 (! c3823 p3823)))
-(petri (? c3823 p3823 (! c3824 p3824)))
-(petri (? c3824 p3824 (! c3825 p3825)))
-(petri (? c3825 p3825 (! c3826 p3826)))
-(petri (? c3826 p3826 (! c3827 p3827)))
-(petri (? c3827 p3827 (! c3828 p3828)))
-(petri (? c3828 p3828 (! c3829 p3829)))
-(petri (? c3829 p3829 (! c3830 p3830)))
-(petri (? c3830 p3830 (! c3831 p3831)))
-(petri (? c3831 p3831 (! c3832 p3832)))
-(petri (? c3832 p3832 (! c3833 p3833)))
-(petri (? c3833 p3833 (! c3834 p3834)))
-(petri (? c3834 p3834 (! c3835 p3835)))
-(petri (? c3835 p3835 (! c3836 p3836)))
-(petri (? c3836 p3836 (! c3837 p3837)))
-(petri (? c3837 p3837 (! c3838 p3838)))
-(petri (? c3838 p3838 (! c3839 p3839)))
-(petri (? c3839 p3839 (! c3840 p3840)))
-(petri (? c3840 p3840 (! c3841 p3841)))
-(petri (? c3841 p3841 (! c3842 p3842)))
-(petri (? c3842 p3842 (! c3843 p3843)))
-(petri (? c3843 p3843 (! c3844 p3844)))
-(petri (? c3844 p3844 (! c3845 p3845)))
-(petri (? c3845 p3845 (! c3846 p3846)))
-(petri (? c3846 p3846 (! c3847 p3847)))
-(petri (? c3847 p3847 (! c3848 p3848)))
-(petri (? c3848 p3848 (! c3849 p3849)))
-(petri (? c3849 p3849 (! c3850 p3850)))
-(petri (? c3850 p3850 (! c3851 p3851)))
-(petri (? c3851 p3851 (! c3852 p3852)))
-(petri (? c3852 p3852 (! c3853 p3853)))
-(petri (? c3853 p3853 (! c3854 p3854)))
-(petri (? c3854 p3854 (! c3855 p3855)))
-(petri (? c3855 p3855 (! c3856 p3856)))
-(petri (? c3856 p3856 (! c3857 p3857)))
-(petri (? c3857 p3857 (! c3858 p3858)))
-(petri (? c3858 p3858 (! c3859 p3859)))
-(petri (? c3859 p3859 (! c3860 p3860)))
-(petri (? c3860 p3860 (! c3861 p3861)))
-(petri (? c3861 p3861 (! c3862 p3862)))
-(petri (? c3862 p3862 (! c3863 p3863)))
-(petri (? c3863 p3863 (! c3864 p3864)))
-(petri (? c3864 p3864 (! c3865 p3865)))
-(petri (? c3865 p3865 (! c3866 p3866)))
-(petri (? c3866 p3866 (! c3867 p3867)))
-(petri (? c3867 p3867 (! c3868 p3868)))
-(petri (? c3868 p3868 (! c3869 p3869)))
-(petri (? c3869 p3869 (! c3870 p3870)))
-(petri (? c3870 p3870 (! c3871 p3871)))
-(petri (? c3871 p3871 (! c3872 p3872)))
-(petri (? c3872 p3872 (! c3873 p3873)))
-(petri (? c3873 p3873 (! c3874 p3874)))
-(petri (? c3874 p3874 (! c3875 p3875)))
-(petri (? c3875 p3875 (! c3876 p3876)))
-(petri (? c3876 p3876 (! c3877 p3877)))
-(petri (? c3877 p3877 (! c3878 p3878)))
-(petri (? c3878 p3878 (! c3879 p3879)))
-(petri (? c3879 p3879 (! c3880 p3880)))
-(petri (? c3880 p3880 (! c3881 p3881)))
-(petri (? c3881 p3881 (! c3882 p3882)))
-(petri (? c3882 p3882 (! c3883 p3883)))
-(petri (? c3883 p3883 (! c3884 p3884)))
-(petri (? c3884 p3884 (! c3885 p3885)))
-(petri (? c3885 p3885 (! c3886 p3886)))
-(petri (? c3886 p3886 (! c3887 p3887)))
-(petri (? c3887 p3887 (! c3888 p3888)))
-(petri (? c3888 p3888 (! c3889 p3889)))
-(petri (? c3889 p3889 (! c3890 p3890)))
-(petri (? c3890 p3890 (! c3891 p3891)))
-(petri (? c3891 p3891 (! c3892 p3892)))
-(petri (? c3892 p3892 (! c3893 p3893)))
-(petri (? c3893 p3893 (! c3894 p3894)))
-(petri (? c3894 p3894 (! c3895 p3895)))
-(petri (? c3895 p3895 (! c3896 p3896)))
-(petri (? c3896 p3896 (! c3897 p3897)))
-(petri (? c3897 p3897 (! c3898 p3898)))
-(petri (? c3898 p3898 (! c3899 p3899)))
-(petri (? c3899 p3899 (! c3900 p3900)))
-(petri (? c3900 p3900 (! c3901 p3901)))
-(petri (? c3901 p3901 (! c3902 p3902)))
-(petri (? c3902 p3902 (! c3903 p3903)))
-(petri (? c3903 p3903 (! c3904 p3904)))
-(petri (? c3904 p3904 (! c3905 p3905)))
-(petri (? c3905 p3905 (! c3906 p3906)))
-(petri (? c3906 p3906 (! c3907 p3907)))
-(petri (? c3907 p3907 (! c3908 p3908)))
-(petri (? c3908 p3908 (! c3909 p3909)))
-(petri (? c3909 p3909 (! c3910 p3910)))
-(petri (? c3910 p3910 (! c3911 p3911)))
-(petri (? c3911 p3911 (! c3912 p3912)))
-(petri (? c3912 p3912 (! c3913 p3913)))
-(petri (? c3913 p3913 (! c3914 p3914)))
-(petri (? c3914 p3914 (! c3915 p3915)))
-(petri (? c3915 p3915 (! c3916 p3916)))
-(petri (? c3916 p3916 (! c3917 p3917)))
-(petri (? c3917 p3917 (! c3918 p3918)))
-(petri (? c3918 p3918 (! c3919 p3919)))
-(petri (? c3919 p3919 (! c3920 p3920)))
-(petri (? c3920 p3920 (! c3921 p3921)))
-(petri (? c3921 p3921 (! c3922 p3922)))
-(petri (? c3922 p3922 (! c3923 p3923)))
-(petri (? c3923 p3923 (! c3924 p3924)))
-(petri (? c3924 p3924 (! c3925 p3925)))
-(petri (? c3925 p3925 (! c3926 p3926)))
-(petri (? c3926 p3926 (! c3927 p3927)))
-(petri (? c3927 p3927 (! c3928 p3928)))
-(petri (? c3928 p3928 (! c3929 p3929)))
-(petri (? c3929 p3929 (! c3930 p3930)))
-(petri (? c3930 p3930 (! c3931 p3931)))
-(petri (? c3931 p3931 (! c3932 p3932)))
-(petri (? c3932 p3932 (! c3933 p3933)))
-(petri (? c3933 p3933 (! c3934 p3934)))
-(petri (? c3934 p3934 (! c3935 p3935)))
-(petri (? c3935 p3935 (! c3936 p3936)))
-(petri (? c3936 p3936 (! c3937 p3937)))
-(petri (? c3937 p3937 (! c3938 p3938)))
-(petri (? c3938 p3938 (! c3939 p3939)))
-(petri (? c3939 p3939 (! c3940 p3940)))
-(petri (? c3940 p3940 (! c3941 p3941)))
-(petri (? c3941 p3941 (! c3942 p3942)))
-(petri (? c3942 p3942 (! c3943 p3943)))
-(petri (? c3943 p3943 (! c3944 p3944)))
-(petri (? c3944 p3944 (! c3945 p3945)))
-(petri (? c3945 p3945 (! c3946 p3946)))
-(petri (? c3946 p3946 (! c3947 p3947)))
-(petri (? c3947 p3947 (! c3948 p3948)))
-(petri (? c3948 p3948 (! c3949 p3949)))
-(petri (? c3949 p3949 (! c3950 p3950)))
-(petri (? c3950 p3950 (! c3951 p3951)))
-(petri (? c3951 p3951 (! c3952 p3952)))
-(petri (? c3952 p3952 (! c3953 p3953)))
-(petri (? c3953 p3953 (! c3954 p3954)))
-(petri (? c3954 p3954 (! c3955 p3955)))
-(petri (? c3955 p3955 (! c3956 p3956)))
-(petri (? c3956 p3956 (! c3957 p3957)))
-(petri (? c3957 p3957 (! c3958 p3958)))
-(petri (? c3958 p3958 (! c3959 p3959)))
-(petri (? c3959 p3959 (! c3960 p3960)))
-(petri (? c3960 p3960 (! c3961 p3961)))
-(petri (? c3961 p3961 (! c3962 p3962)))
-(petri (? c3962 p3962 (! c3963 p3963)))
-(petri (? c3963 p3963 (! c3964 p3964)))
-(petri (? c3964 p3964 (! c3965 p3965)))
-(petri (? c3965 p3965 (! c3966 p3966)))
-(petri (? c3966 p3966 (! c3967 p3967)))
-(petri (? c3967 p3967 (! c3968 p3968)))
-(petri (? c3968 p3968 (! c3969 p3969)))
-(petri (? c3969 p3969 (! c3970 p3970)))
-(petri (? c3970 p3970 (! c3971 p3971)))
-(petri (? c3971 p3971 (! c3972 p3972)))
-(petri (? c3972 p3972 (! c3973 p3973)))
-(petri (? c3973 p3973 (! c3974 p3974)))
-(petri (? c3974 p3974 (! c3975 p3975)))
-(petri (? c3975 p3975 (! c3976 p3976)))
-(petri (? c3976 p3976 (! c3977 p3977)))
-(petri (? c3977 p3977 (! c3978 p3978)))
-(petri (? c3978 p3978 (! c3979 p3979)))
-(petri (? c3979 p3979 (! c3980 p3980)))
-(petri (? c3980 p3980 (! c3981 p3981)))
-(petri (? c3981 p3981 (! c3982 p3982)))
-(petri (? c3982 p3982 (! c3983 p3983)))
-(petri (? c3983 p3983 (! c3984 p3984)))
-(petri (? c3984 p3984 (! c3985 p3985)))
-(petri (? c3985 p3985 (! c3986 p3986)))
-(petri (? c3986 p3986 (! c3987 p3987)))
-(petri (? c3987 p3987 (! c3988 p3988)))
-(petri (? c3988 p3988 (! c3989 p3989)))
-(petri (? c3989 p3989 (! c3990 p3990)))
-(petri (? c3990 p3990 (! c3991 p3991)))
-(petri (? c3991 p3991 (! c3992 p3992)))
-(petri (? c3992 p3992 (! c3993 p3993)))
-(petri (? c3993 p3993 (! c3994 p3994)))
-(petri (? c3994 p3994 (! c3995 p3995)))
-(petri (? c3995 p3995 (! c3996 p3996)))
-(petri (? c3996 p3996 (! c3997 p3997)))
-(petri (? c3997 p3997 (! c3998 p3998)))
-(petri (? c3998 p3998 (! c3999 p3999)))
-(petri (? c3999 p3999 (! c4000 p4000)))
-(petri (! c0 p0))
-(fuel (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S Z)))))))))))))))))))))))))))))))
-
-(exec (1 Z) (, (exec (1 $l) $p $t) (fuel (S $k))
-               (petri (? $c $pl $b)) (petri (! $c $pl)))
-            (O (+ (exec (1 (S $l)) $p $t)) (+ (petri $b)) (+ (fuel $k)) (- (fuel (S $k)))))
diff --git a/examples/transforms/pc3_consume.mm2 b/examples/transforms/pc3_consume.mm2
deleted file mode 100644
index 6a3b713f..00000000
--- a/examples/transforms/pc3_consume.mm2
+++ /dev/null
@@ -1,408 +0,0 @@
-(petri (? c0 p0 (! c1 p1)))
-(petri (? c1 p1 (! c2 p2)))
-(petri (? c2 p2 (! c3 p3)))
-(petri (? c3 p3 (! c4 p4)))
-(petri (? c4 p4 (! c5 p5)))
-(petri (? c5 p5 (! c6 p6)))
-(petri (? c6 p6 (! c7 p7)))
-(petri (? c7 p7 (! c8 p8)))
-(petri (? c8 p8 (! c9 p9)))
-(petri (? c9 p9 (! c10 p10)))
-(petri (? c10 p10 (! c11 p11)))
-(petri (? c11 p11 (! c12 p12)))
-(petri (? c12 p12 (! c13 p13)))
-(petri (? c13 p13 (! c14 p14)))
-(petri (? c14 p14 (! c15 p15)))
-(petri (? c15 p15 (! c16 p16)))
-(petri (? c16 p16 (! c17 p17)))
-(petri (? c17 p17 (! c18 p18)))
-(petri (? c18 p18 (! c19 p19)))
-(petri (? c19 p19 (! c20 p20)))
-(petri (? c20 p20 (! c21 p21)))
-(petri (? c21 p21 (! c22 p22)))
-(petri (? c22 p22 (! c23 p23)))
-(petri (? c23 p23 (! c24 p24)))
-(petri (? c24 p24 (! c25 p25)))
-(petri (? c25 p25 (! c26 p26)))
-(petri (? c26 p26 (! c27 p27)))
-(petri (? c27 p27 (! c28 p28)))
-(petri (? c28 p28 (! c29 p29)))
-(petri (? c29 p29 (! c30 p30)))
-(petri (? c30 p30 (! c31 p31)))
-(petri (? c31 p31 (! c32 p32)))
-(petri (? c32 p32 (! c33 p33)))
-(petri (? c33 p33 (! c34 p34)))
-(petri (? c34 p34 (! c35 p35)))
-(petri (? c35 p35 (! c36 p36)))
-(petri (? c36 p36 (! c37 p37)))
-(petri (? c37 p37 (! c38 p38)))
-(petri (? c38 p38 (! c39 p39)))
-(petri (? c39 p39 (! c40 p40)))
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-(petri (? c397 p397 (! c398 p398)))
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-(petri (? c399 p399 (! c400 p400)))
-(petri (! c0 p0))
-(fuel (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S Z))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
-
-(exec (1 Z) (, (exec (1 $l) $p $t) (fuel (S $k))
-               (petri (? $c $pl $b)) (petri (! $c $pl)))
-            (O (+ (exec (1 (S $l)) $p $t)) (+ (petri $b))
-               (- (petri (? $c $pl $b))) (- (petri (! $c $pl)))
-               (+ (fuel $k)) (- (fuel (S $k)))))
diff --git a/examples/transforms/pc3_delta.mm2 b/examples/transforms/pc3_delta.mm2
deleted file mode 100644
index aa1fde9e..00000000
--- a/examples/transforms/pc3_delta.mm2
+++ /dev/null
@@ -1,408 +0,0 @@
-(petri (? c0 p0 (! c1 p1)))
-(petri (? c1 p1 (! c2 p2)))
-(petri (? c2 p2 (! c3 p3)))
-(petri (? c3 p3 (! c4 p4)))
-(petri (? c4 p4 (! c5 p5)))
-(petri (? c5 p5 (! c6 p6)))
-(petri (? c6 p6 (! c7 p7)))
-(petri (? c7 p7 (! c8 p8)))
-(petri (? c8 p8 (! c9 p9)))
-(petri (? c9 p9 (! c10 p10)))
-(petri (? c10 p10 (! c11 p11)))
-(petri (? c11 p11 (! c12 p12)))
-(petri (? c12 p12 (! c13 p13)))
-(petri (? c13 p13 (! c14 p14)))
-(petri (? c14 p14 (! c15 p15)))
-(petri (? c15 p15 (! c16 p16)))
-(petri (? c16 p16 (! c17 p17)))
-(petri (? c17 p17 (! c18 p18)))
-(petri (? c18 p18 (! c19 p19)))
-(petri (? c19 p19 (! c20 p20)))
-(petri (? c20 p20 (! c21 p21)))
-(petri (? c21 p21 (! c22 p22)))
-(petri (? c22 p22 (! c23 p23)))
-(petri (? c23 p23 (! c24 p24)))
-(petri (? c24 p24 (! c25 p25)))
-(petri (? c25 p25 (! c26 p26)))
-(petri (? c26 p26 (! c27 p27)))
-(petri (? c27 p27 (! c28 p28)))
-(petri (? c28 p28 (! c29 p29)))
-(petri (? c29 p29 (! c30 p30)))
-(petri (? c30 p30 (! c31 p31)))
-(petri (? c31 p31 (! c32 p32)))
-(petri (? c32 p32 (! c33 p33)))
-(petri (? c33 p33 (! c34 p34)))
-(petri (? c34 p34 (! c35 p35)))
-(petri (? c35 p35 (! c36 p36)))
-(petri (? c36 p36 (! c37 p37)))
-(petri (? c37 p37 (! c38 p38)))
-(petri (? c38 p38 (! c39 p39)))
-(petri (? c39 p39 (! c40 p40)))
-(petri (? c40 p40 (! c41 p41)))
-(petri (? c41 p41 (! c42 p42)))
-(petri (? c42 p42 (! c43 p43)))
-(petri (? c43 p43 (! c44 p44)))
-(petri (? c44 p44 (! c45 p45)))
-(petri (? c45 p45 (! c46 p46)))
-(petri (? c46 p46 (! c47 p47)))
-(petri (? c47 p47 (! c48 p48)))
-(petri (? c48 p48 (! c49 p49)))
-(petri (? c49 p49 (! c50 p50)))
-(petri (? c50 p50 (! c51 p51)))
-(petri (? c51 p51 (! c52 p52)))
-(petri (? c52 p52 (! c53 p53)))
-(petri (? c53 p53 (! c54 p54)))
-(petri (? c54 p54 (! c55 p55)))
-(petri (? c55 p55 (! c56 p56)))
-(petri (? c56 p56 (! c57 p57)))
-(petri (? c57 p57 (! c58 p58)))
-(petri (? c58 p58 (! c59 p59)))
-(petri (? c59 p59 (! c60 p60)))
-(petri (? c60 p60 (! c61 p61)))
-(petri (? c61 p61 (! c62 p62)))
-(petri (? c62 p62 (! c63 p63)))
-(petri (? c63 p63 (! c64 p64)))
-(petri (? c64 p64 (! c65 p65)))
-(petri (? c65 p65 (! c66 p66)))
-(petri (? c66 p66 (! c67 p67)))
-(petri (? c67 p67 (! c68 p68)))
-(petri (? c68 p68 (! c69 p69)))
-(petri (? c69 p69 (! c70 p70)))
-(petri (? c70 p70 (! c71 p71)))
-(petri (? c71 p71 (! c72 p72)))
-(petri (? c72 p72 (! c73 p73)))
-(petri (? c73 p73 (! c74 p74)))
-(petri (? c74 p74 (! c75 p75)))
-(petri (? c75 p75 (! c76 p76)))
-(petri (? c76 p76 (! c77 p77)))
-(petri (? c77 p77 (! c78 p78)))
-(petri (? c78 p78 (! c79 p79)))
-(petri (? c79 p79 (! c80 p80)))
-(petri (? c80 p80 (! c81 p81)))
-(petri (? c81 p81 (! c82 p82)))
-(petri (? c82 p82 (! c83 p83)))
-(petri (? c83 p83 (! c84 p84)))
-(petri (? c84 p84 (! c85 p85)))
-(petri (? c85 p85 (! c86 p86)))
-(petri (? c86 p86 (! c87 p87)))
-(petri (? c87 p87 (! c88 p88)))
-(petri (? c88 p88 (! c89 p89)))
-(petri (? c89 p89 (! c90 p90)))
-(petri (? c90 p90 (! c91 p91)))
-(petri (? c91 p91 (! c92 p92)))
-(petri (? c92 p92 (! c93 p93)))
-(petri (? c93 p93 (! c94 p94)))
-(petri (? c94 p94 (! c95 p95)))
-(petri (? c95 p95 (! c96 p96)))
-(petri (? c96 p96 (! c97 p97)))
-(petri (? c97 p97 (! c98 p98)))
-(petri (? c98 p98 (! c99 p99)))
-(petri (? c99 p99 (! c100 p100)))
-(petri (? c100 p100 (! c101 p101)))
-(petri (? c101 p101 (! c102 p102)))
-(petri (? c102 p102 (! c103 p103)))
-(petri (? c103 p103 (! c104 p104)))
-(petri (? c104 p104 (! c105 p105)))
-(petri (? c105 p105 (! c106 p106)))
-(petri (? c106 p106 (! c107 p107)))
-(petri (? c107 p107 (! c108 p108)))
-(petri (? c108 p108 (! c109 p109)))
-(petri (? c109 p109 (! c110 p110)))
-(petri (? c110 p110 (! c111 p111)))
-(petri (? c111 p111 (! c112 p112)))
-(petri (? c112 p112 (! c113 p113)))
-(petri (? c113 p113 (! c114 p114)))
-(petri (? c114 p114 (! c115 p115)))
-(petri (? c115 p115 (! c116 p116)))
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-(petri (? c117 p117 (! c118 p118)))
-(petri (? c118 p118 (! c119 p119)))
-(petri (? c119 p119 (! c120 p120)))
-(petri (? c120 p120 (! c121 p121)))
-(petri (? c121 p121 (! c122 p122)))
-(petri (? c122 p122 (! c123 p123)))
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-(petri (? c124 p124 (! c125 p125)))
-(petri (? c125 p125 (! c126 p126)))
-(petri (? c126 p126 (! c127 p127)))
-(petri (? c127 p127 (! c128 p128)))
-(petri (? c128 p128 (! c129 p129)))
-(petri (? c129 p129 (! c130 p130)))
-(petri (? c130 p130 (! c131 p131)))
-(petri (? c131 p131 (! c132 p132)))
-(petri (? c132 p132 (! c133 p133)))
-(petri (? c133 p133 (! c134 p134)))
-(petri (? c134 p134 (! c135 p135)))
-(petri (? c135 p135 (! c136 p136)))
-(petri (? c136 p136 (! c137 p137)))
-(petri (? c137 p137 (! c138 p138)))
-(petri (? c138 p138 (! c139 p139)))
-(petri (? c139 p139 (! c140 p140)))
-(petri (? c140 p140 (! c141 p141)))
-(petri (? c141 p141 (! c142 p142)))
-(petri (? c142 p142 (! c143 p143)))
-(petri (? c143 p143 (! c144 p144)))
-(petri (? c144 p144 (! c145 p145)))
-(petri (? c145 p145 (! c146 p146)))
-(petri (? c146 p146 (! c147 p147)))
-(petri (? c147 p147 (! c148 p148)))
-(petri (? c148 p148 (! c149 p149)))
-(petri (? c149 p149 (! c150 p150)))
-(petri (? c150 p150 (! c151 p151)))
-(petri (? c151 p151 (! c152 p152)))
-(petri (? c152 p152 (! c153 p153)))
-(petri (? c153 p153 (! c154 p154)))
-(petri (? c154 p154 (! c155 p155)))
-(petri (? c155 p155 (! c156 p156)))
-(petri (? c156 p156 (! c157 p157)))
-(petri (? c157 p157 (! c158 p158)))
-(petri (? c158 p158 (! c159 p159)))
-(petri (? c159 p159 (! c160 p160)))
-(petri (? c160 p160 (! c161 p161)))
-(petri (? c161 p161 (! c162 p162)))
-(petri (? c162 p162 (! c163 p163)))
-(petri (? c163 p163 (! c164 p164)))
-(petri (? c164 p164 (! c165 p165)))
-(petri (? c165 p165 (! c166 p166)))
-(petri (? c166 p166 (! c167 p167)))
-(petri (? c167 p167 (! c168 p168)))
-(petri (? c168 p168 (! c169 p169)))
-(petri (? c169 p169 (! c170 p170)))
-(petri (? c170 p170 (! c171 p171)))
-(petri (? c171 p171 (! c172 p172)))
-(petri (? c172 p172 (! c173 p173)))
-(petri (? c173 p173 (! c174 p174)))
-(petri (? c174 p174 (! c175 p175)))
-(petri (? c175 p175 (! c176 p176)))
-(petri (? c176 p176 (! c177 p177)))
-(petri (? c177 p177 (! c178 p178)))
-(petri (? c178 p178 (! c179 p179)))
-(petri (? c179 p179 (! c180 p180)))
-(petri (? c180 p180 (! c181 p181)))
-(petri (? c181 p181 (! c182 p182)))
-(petri (? c182 p182 (! c183 p183)))
-(petri (? c183 p183 (! c184 p184)))
-(petri (? c184 p184 (! c185 p185)))
-(petri (? c185 p185 (! c186 p186)))
-(petri (? c186 p186 (! c187 p187)))
-(petri (? c187 p187 (! c188 p188)))
-(petri (? c188 p188 (! c189 p189)))
-(petri (? c189 p189 (! c190 p190)))
-(petri (? c190 p190 (! c191 p191)))
-(petri (? c191 p191 (! c192 p192)))
-(petri (? c192 p192 (! c193 p193)))
-(petri (? c193 p193 (! c194 p194)))
-(petri (? c194 p194 (! c195 p195)))
-(petri (? c195 p195 (! c196 p196)))
-(petri (? c196 p196 (! c197 p197)))
-(petri (? c197 p197 (! c198 p198)))
-(petri (? c198 p198 (! c199 p199)))
-(petri (? c199 p199 (! c200 p200)))
-(petri (? c200 p200 (! c201 p201)))
-(petri (? c201 p201 (! c202 p202)))
-(petri (? c202 p202 (! c203 p203)))
-(petri (? c203 p203 (! c204 p204)))
-(petri (? c204 p204 (! c205 p205)))
-(petri (? c205 p205 (! c206 p206)))
-(petri (? c206 p206 (! c207 p207)))
-(petri (? c207 p207 (! c208 p208)))
-(petri (? c208 p208 (! c209 p209)))
-(petri (? c209 p209 (! c210 p210)))
-(petri (? c210 p210 (! c211 p211)))
-(petri (? c211 p211 (! c212 p212)))
-(petri (? c212 p212 (! c213 p213)))
-(petri (? c213 p213 (! c214 p214)))
-(petri (? c214 p214 (! c215 p215)))
-(petri (? c215 p215 (! c216 p216)))
-(petri (? c216 p216 (! c217 p217)))
-(petri (? c217 p217 (! c218 p218)))
-(petri (? c218 p218 (! c219 p219)))
-(petri (? c219 p219 (! c220 p220)))
-(petri (? c220 p220 (! c221 p221)))
-(petri (? c221 p221 (! c222 p222)))
-(petri (? c222 p222 (! c223 p223)))
-(petri (? c223 p223 (! c224 p224)))
-(petri (? c224 p224 (! c225 p225)))
-(petri (? c225 p225 (! c226 p226)))
-(petri (? c226 p226 (! c227 p227)))
-(petri (? c227 p227 (! c228 p228)))
-(petri (? c228 p228 (! c229 p229)))
-(petri (? c229 p229 (! c230 p230)))
-(petri (? c230 p230 (! c231 p231)))
-(petri (? c231 p231 (! c232 p232)))
-(petri (? c232 p232 (! c233 p233)))
-(petri (? c233 p233 (! c234 p234)))
-(petri (? c234 p234 (! c235 p235)))
-(petri (? c235 p235 (! c236 p236)))
-(petri (? c236 p236 (! c237 p237)))
-(petri (? c237 p237 (! c238 p238)))
-(petri (? c238 p238 (! c239 p239)))
-(petri (? c239 p239 (! c240 p240)))
-(petri (? c240 p240 (! c241 p241)))
-(petri (? c241 p241 (! c242 p242)))
-(petri (? c242 p242 (! c243 p243)))
-(petri (? c243 p243 (! c244 p244)))
-(petri (? c244 p244 (! c245 p245)))
-(petri (? c245 p245 (! c246 p246)))
-(petri (? c246 p246 (! c247 p247)))
-(petri (? c247 p247 (! c248 p248)))
-(petri (? c248 p248 (! c249 p249)))
-(petri (? c249 p249 (! c250 p250)))
-(petri (? c250 p250 (! c251 p251)))
-(petri (? c251 p251 (! c252 p252)))
-(petri (? c252 p252 (! c253 p253)))
-(petri (? c253 p253 (! c254 p254)))
-(petri (? c254 p254 (! c255 p255)))
-(petri (? c255 p255 (! c256 p256)))
-(petri (? c256 p256 (! c257 p257)))
-(petri (? c257 p257 (! c258 p258)))
-(petri (? c258 p258 (! c259 p259)))
-(petri (? c259 p259 (! c260 p260)))
-(petri (? c260 p260 (! c261 p261)))
-(petri (? c261 p261 (! c262 p262)))
-(petri (? c262 p262 (! c263 p263)))
-(petri (? c263 p263 (! c264 p264)))
-(petri (? c264 p264 (! c265 p265)))
-(petri (? c265 p265 (! c266 p266)))
-(petri (? c266 p266 (! c267 p267)))
-(petri (? c267 p267 (! c268 p268)))
-(petri (? c268 p268 (! c269 p269)))
-(petri (? c269 p269 (! c270 p270)))
-(petri (? c270 p270 (! c271 p271)))
-(petri (? c271 p271 (! c272 p272)))
-(petri (? c272 p272 (! c273 p273)))
-(petri (? c273 p273 (! c274 p274)))
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-(petri (? c275 p275 (! c276 p276)))
-(petri (? c276 p276 (! c277 p277)))
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-(petri (? c278 p278 (! c279 p279)))
-(petri (? c279 p279 (! c280 p280)))
-(petri (? c280 p280 (! c281 p281)))
-(petri (? c281 p281 (! c282 p282)))
-(petri (? c282 p282 (! c283 p283)))
-(petri (? c283 p283 (! c284 p284)))
-(petri (? c284 p284 (! c285 p285)))
-(petri (? c285 p285 (! c286 p286)))
-(petri (? c286 p286 (! c287 p287)))
-(petri (? c287 p287 (! c288 p288)))
-(petri (? c288 p288 (! c289 p289)))
-(petri (? c289 p289 (! c290 p290)))
-(petri (? c290 p290 (! c291 p291)))
-(petri (? c291 p291 (! c292 p292)))
-(petri (? c292 p292 (! c293 p293)))
-(petri (? c293 p293 (! c294 p294)))
-(petri (? c294 p294 (! c295 p295)))
-(petri (? c295 p295 (! c296 p296)))
-(petri (? c296 p296 (! c297 p297)))
-(petri (? c297 p297 (! c298 p298)))
-(petri (? c298 p298 (! c299 p299)))
-(petri (? c299 p299 (! c300 p300)))
-(petri (? c300 p300 (! c301 p301)))
-(petri (? c301 p301 (! c302 p302)))
-(petri (? c302 p302 (! c303 p303)))
-(petri (? c303 p303 (! c304 p304)))
-(petri (? c304 p304 (! c305 p305)))
-(petri (? c305 p305 (! c306 p306)))
-(petri (? c306 p306 (! c307 p307)))
-(petri (? c307 p307 (! c308 p308)))
-(petri (? c308 p308 (! c309 p309)))
-(petri (? c309 p309 (! c310 p310)))
-(petri (? c310 p310 (! c311 p311)))
-(petri (? c311 p311 (! c312 p312)))
-(petri (? c312 p312 (! c313 p313)))
-(petri (? c313 p313 (! c314 p314)))
-(petri (? c314 p314 (! c315 p315)))
-(petri (? c315 p315 (! c316 p316)))
-(petri (? c316 p316 (! c317 p317)))
-(petri (? c317 p317 (! c318 p318)))
-(petri (? c318 p318 (! c319 p319)))
-(petri (? c319 p319 (! c320 p320)))
-(petri (? c320 p320 (! c321 p321)))
-(petri (? c321 p321 (! c322 p322)))
-(petri (? c322 p322 (! c323 p323)))
-(petri (? c323 p323 (! c324 p324)))
-(petri (? c324 p324 (! c325 p325)))
-(petri (? c325 p325 (! c326 p326)))
-(petri (? c326 p326 (! c327 p327)))
-(petri (? c327 p327 (! c328 p328)))
-(petri (? c328 p328 (! c329 p329)))
-(petri (? c329 p329 (! c330 p330)))
-(petri (? c330 p330 (! c331 p331)))
-(petri (? c331 p331 (! c332 p332)))
-(petri (? c332 p332 (! c333 p333)))
-(petri (? c333 p333 (! c334 p334)))
-(petri (? c334 p334 (! c335 p335)))
-(petri (? c335 p335 (! c336 p336)))
-(petri (? c336 p336 (! c337 p337)))
-(petri (? c337 p337 (! c338 p338)))
-(petri (? c338 p338 (! c339 p339)))
-(petri (? c339 p339 (! c340 p340)))
-(petri (? c340 p340 (! c341 p341)))
-(petri (? c341 p341 (! c342 p342)))
-(petri (? c342 p342 (! c343 p343)))
-(petri (? c343 p343 (! c344 p344)))
-(petri (? c344 p344 (! c345 p345)))
-(petri (? c345 p345 (! c346 p346)))
-(petri (? c346 p346 (! c347 p347)))
-(petri (? c347 p347 (! c348 p348)))
-(petri (? c348 p348 (! c349 p349)))
-(petri (? c349 p349 (! c350 p350)))
-(petri (? c350 p350 (! c351 p351)))
-(petri (? c351 p351 (! c352 p352)))
-(petri (? c352 p352 (! c353 p353)))
-(petri (? c353 p353 (! c354 p354)))
-(petri (? c354 p354 (! c355 p355)))
-(petri (? c355 p355 (! c356 p356)))
-(petri (? c356 p356 (! c357 p357)))
-(petri (? c357 p357 (! c358 p358)))
-(petri (? c358 p358 (! c359 p359)))
-(petri (? c359 p359 (! c360 p360)))
-(petri (? c360 p360 (! c361 p361)))
-(petri (? c361 p361 (! c362 p362)))
-(petri (? c362 p362 (! c363 p363)))
-(petri (? c363 p363 (! c364 p364)))
-(petri (? c364 p364 (! c365 p365)))
-(petri (? c365 p365 (! c366 p366)))
-(petri (? c366 p366 (! c367 p367)))
-(petri (? c367 p367 (! c368 p368)))
-(petri (? c368 p368 (! c369 p369)))
-(petri (? c369 p369 (! c370 p370)))
-(petri (? c370 p370 (! c371 p371)))
-(petri (? c371 p371 (! c372 p372)))
-(petri (? c372 p372 (! c373 p373)))
-(petri (? c373 p373 (! c374 p374)))
-(petri (? c374 p374 (! c375 p375)))
-(petri (? c375 p375 (! c376 p376)))
-(petri (? c376 p376 (! c377 p377)))
-(petri (? c377 p377 (! c378 p378)))
-(petri (? c378 p378 (! c379 p379)))
-(petri (? c379 p379 (! c380 p380)))
-(petri (? c380 p380 (! c381 p381)))
-(petri (? c381 p381 (! c382 p382)))
-(petri (? c382 p382 (! c383 p383)))
-(petri (? c383 p383 (! c384 p384)))
-(petri (? c384 p384 (! c385 p385)))
-(petri (? c385 p385 (! c386 p386)))
-(petri (? c386 p386 (! c387 p387)))
-(petri (? c387 p387 (! c388 p388)))
-(petri (? c388 p388 (! c389 p389)))
-(petri (? c389 p389 (! c390 p390)))
-(petri (? c390 p390 (! c391 p391)))
-(petri (? c391 p391 (! c392 p392)))
-(petri (? c392 p392 (! c393 p393)))
-(petri (? c393 p393 (! c394 p394)))
-(petri (? c394 p394 (! c395 p395)))
-(petri (? c395 p395 (! c396 p396)))
-(petri (? c396 p396 (! c397 p397)))
-(petri (? c397 p397 (! c398 p398)))
-(petri (? c398 p398 (! c399 p399)))
-(petri (? c399 p399 (! c400 p400)))
-(petri (! c0 p0))
-(dmsg (! c0 p0))
-(fuel (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S Z))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
-
-(exec (1 Z) (, (exec (1 $l) $p $t) (fuel (S $k))
-               (petri (? $c $pl $b)) (dmsg (! $c $pl)))
-            (O (+ (exec (1 (S $l)) $p $t)) (+ (petri $b)) (+ (dmsg $b))
-               (- (dmsg (! $c $pl))) (+ (fuel $k)) (- (fuel (S $k)))))
diff --git a/examples/transforms/pc3_naive.mm2 b/examples/transforms/pc3_naive.mm2
deleted file mode 100644
index bd06184b..00000000
--- a/examples/transforms/pc3_naive.mm2
+++ /dev/null
@@ -1,406 +0,0 @@
-(petri (? c0 p0 (! c1 p1)))
-(petri (? c1 p1 (! c2 p2)))
-(petri (? c2 p2 (! c3 p3)))
-(petri (? c3 p3 (! c4 p4)))
-(petri (? c4 p4 (! c5 p5)))
-(petri (? c5 p5 (! c6 p6)))
-(petri (? c6 p6 (! c7 p7)))
-(petri (? c7 p7 (! c8 p8)))
-(petri (? c8 p8 (! c9 p9)))
-(petri (? c9 p9 (! c10 p10)))
-(petri (? c10 p10 (! c11 p11)))
-(petri (? c11 p11 (! c12 p12)))
-(petri (? c12 p12 (! c13 p13)))
-(petri (? c13 p13 (! c14 p14)))
-(petri (? c14 p14 (! c15 p15)))
-(petri (? c15 p15 (! c16 p16)))
-(petri (? c16 p16 (! c17 p17)))
-(petri (? c17 p17 (! c18 p18)))
-(petri (? c18 p18 (! c19 p19)))
-(petri (? c19 p19 (! c20 p20)))
-(petri (? c20 p20 (! c21 p21)))
-(petri (? c21 p21 (! c22 p22)))
-(petri (? c22 p22 (! c23 p23)))
-(petri (? c23 p23 (! c24 p24)))
-(petri (? c24 p24 (! c25 p25)))
-(petri (? c25 p25 (! c26 p26)))
-(petri (? c26 p26 (! c27 p27)))
-(petri (? c27 p27 (! c28 p28)))
-(petri (? c28 p28 (! c29 p29)))
-(petri (? c29 p29 (! c30 p30)))
-(petri (? c30 p30 (! c31 p31)))
-(petri (? c31 p31 (! c32 p32)))
-(petri (? c32 p32 (! c33 p33)))
-(petri (? c33 p33 (! c34 p34)))
-(petri (? c34 p34 (! c35 p35)))
-(petri (? c35 p35 (! c36 p36)))
-(petri (? c36 p36 (! c37 p37)))
-(petri (? c37 p37 (! c38 p38)))
-(petri (? c38 p38 (! c39 p39)))
-(petri (? c39 p39 (! c40 p40)))
-(petri (? c40 p40 (! c41 p41)))
-(petri (? c41 p41 (! c42 p42)))
-(petri (? c42 p42 (! c43 p43)))
-(petri (? c43 p43 (! c44 p44)))
-(petri (? c44 p44 (! c45 p45)))
-(petri (? c45 p45 (! c46 p46)))
-(petri (? c46 p46 (! c47 p47)))
-(petri (? c47 p47 (! c48 p48)))
-(petri (? c48 p48 (! c49 p49)))
-(petri (? c49 p49 (! c50 p50)))
-(petri (? c50 p50 (! c51 p51)))
-(petri (? c51 p51 (! c52 p52)))
-(petri (? c52 p52 (! c53 p53)))
-(petri (? c53 p53 (! c54 p54)))
-(petri (? c54 p54 (! c55 p55)))
-(petri (? c55 p55 (! c56 p56)))
-(petri (? c56 p56 (! c57 p57)))
-(petri (? c57 p57 (! c58 p58)))
-(petri (? c58 p58 (! c59 p59)))
-(petri (? c59 p59 (! c60 p60)))
-(petri (? c60 p60 (! c61 p61)))
-(petri (? c61 p61 (! c62 p62)))
-(petri (? c62 p62 (! c63 p63)))
-(petri (? c63 p63 (! c64 p64)))
-(petri (? c64 p64 (! c65 p65)))
-(petri (? c65 p65 (! c66 p66)))
-(petri (? c66 p66 (! c67 p67)))
-(petri (? c67 p67 (! c68 p68)))
-(petri (? c68 p68 (! c69 p69)))
-(petri (? c69 p69 (! c70 p70)))
-(petri (? c70 p70 (! c71 p71)))
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-(petri (? c72 p72 (! c73 p73)))
-(petri (? c73 p73 (! c74 p74)))
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-(petri (? c75 p75 (! c76 p76)))
-(petri (? c76 p76 (! c77 p77)))
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-(petri (? c78 p78 (! c79 p79)))
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-(petri (? c80 p80 (! c81 p81)))
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-(petri (? c82 p82 (! c83 p83)))
-(petri (? c83 p83 (! c84 p84)))
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-(petri (? c90 p90 (! c91 p91)))
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-(petri (? c104 p104 (! c105 p105)))
-(petri (? c105 p105 (! c106 p106)))
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-(petri (? c108 p108 (! c109 p109)))
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-(petri (? c110 p110 (! c111 p111)))
-(petri (? c111 p111 (! c112 p112)))
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-(petri (? c113 p113 (! c114 p114)))
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-(petri (? c239 p239 (! c240 p240)))
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-(petri (? c244 p244 (! c245 p245)))
-(petri (? c245 p245 (! c246 p246)))
-(petri (? c246 p246 (! c247 p247)))
-(petri (? c247 p247 (! c248 p248)))
-(petri (? c248 p248 (! c249 p249)))
-(petri (? c249 p249 (! c250 p250)))
-(petri (? c250 p250 (! c251 p251)))
-(petri (? c251 p251 (! c252 p252)))
-(petri (? c252 p252 (! c253 p253)))
-(petri (? c253 p253 (! c254 p254)))
-(petri (? c254 p254 (! c255 p255)))
-(petri (? c255 p255 (! c256 p256)))
-(petri (? c256 p256 (! c257 p257)))
-(petri (? c257 p257 (! c258 p258)))
-(petri (? c258 p258 (! c259 p259)))
-(petri (? c259 p259 (! c260 p260)))
-(petri (? c260 p260 (! c261 p261)))
-(petri (? c261 p261 (! c262 p262)))
-(petri (? c262 p262 (! c263 p263)))
-(petri (? c263 p263 (! c264 p264)))
-(petri (? c264 p264 (! c265 p265)))
-(petri (? c265 p265 (! c266 p266)))
-(petri (? c266 p266 (! c267 p267)))
-(petri (? c267 p267 (! c268 p268)))
-(petri (? c268 p268 (! c269 p269)))
-(petri (? c269 p269 (! c270 p270)))
-(petri (? c270 p270 (! c271 p271)))
-(petri (? c271 p271 (! c272 p272)))
-(petri (? c272 p272 (! c273 p273)))
-(petri (? c273 p273 (! c274 p274)))
-(petri (? c274 p274 (! c275 p275)))
-(petri (? c275 p275 (! c276 p276)))
-(petri (? c276 p276 (! c277 p277)))
-(petri (? c277 p277 (! c278 p278)))
-(petri (? c278 p278 (! c279 p279)))
-(petri (? c279 p279 (! c280 p280)))
-(petri (? c280 p280 (! c281 p281)))
-(petri (? c281 p281 (! c282 p282)))
-(petri (? c282 p282 (! c283 p283)))
-(petri (? c283 p283 (! c284 p284)))
-(petri (? c284 p284 (! c285 p285)))
-(petri (? c285 p285 (! c286 p286)))
-(petri (? c286 p286 (! c287 p287)))
-(petri (? c287 p287 (! c288 p288)))
-(petri (? c288 p288 (! c289 p289)))
-(petri (? c289 p289 (! c290 p290)))
-(petri (? c290 p290 (! c291 p291)))
-(petri (? c291 p291 (! c292 p292)))
-(petri (? c292 p292 (! c293 p293)))
-(petri (? c293 p293 (! c294 p294)))
-(petri (? c294 p294 (! c295 p295)))
-(petri (? c295 p295 (! c296 p296)))
-(petri (? c296 p296 (! c297 p297)))
-(petri (? c297 p297 (! c298 p298)))
-(petri (? c298 p298 (! c299 p299)))
-(petri (? c299 p299 (! c300 p300)))
-(petri (? c300 p300 (! c301 p301)))
-(petri (? c301 p301 (! c302 p302)))
-(petri (? c302 p302 (! c303 p303)))
-(petri (? c303 p303 (! c304 p304)))
-(petri (? c304 p304 (! c305 p305)))
-(petri (? c305 p305 (! c306 p306)))
-(petri (? c306 p306 (! c307 p307)))
-(petri (? c307 p307 (! c308 p308)))
-(petri (? c308 p308 (! c309 p309)))
-(petri (? c309 p309 (! c310 p310)))
-(petri (? c310 p310 (! c311 p311)))
-(petri (? c311 p311 (! c312 p312)))
-(petri (? c312 p312 (! c313 p313)))
-(petri (? c313 p313 (! c314 p314)))
-(petri (? c314 p314 (! c315 p315)))
-(petri (? c315 p315 (! c316 p316)))
-(petri (? c316 p316 (! c317 p317)))
-(petri (? c317 p317 (! c318 p318)))
-(petri (? c318 p318 (! c319 p319)))
-(petri (? c319 p319 (! c320 p320)))
-(petri (? c320 p320 (! c321 p321)))
-(petri (? c321 p321 (! c322 p322)))
-(petri (? c322 p322 (! c323 p323)))
-(petri (? c323 p323 (! c324 p324)))
-(petri (? c324 p324 (! c325 p325)))
-(petri (? c325 p325 (! c326 p326)))
-(petri (? c326 p326 (! c327 p327)))
-(petri (? c327 p327 (! c328 p328)))
-(petri (? c328 p328 (! c329 p329)))
-(petri (? c329 p329 (! c330 p330)))
-(petri (? c330 p330 (! c331 p331)))
-(petri (? c331 p331 (! c332 p332)))
-(petri (? c332 p332 (! c333 p333)))
-(petri (? c333 p333 (! c334 p334)))
-(petri (? c334 p334 (! c335 p335)))
-(petri (? c335 p335 (! c336 p336)))
-(petri (? c336 p336 (! c337 p337)))
-(petri (? c337 p337 (! c338 p338)))
-(petri (? c338 p338 (! c339 p339)))
-(petri (? c339 p339 (! c340 p340)))
-(petri (? c340 p340 (! c341 p341)))
-(petri (? c341 p341 (! c342 p342)))
-(petri (? c342 p342 (! c343 p343)))
-(petri (? c343 p343 (! c344 p344)))
-(petri (? c344 p344 (! c345 p345)))
-(petri (? c345 p345 (! c346 p346)))
-(petri (? c346 p346 (! c347 p347)))
-(petri (? c347 p347 (! c348 p348)))
-(petri (? c348 p348 (! c349 p349)))
-(petri (? c349 p349 (! c350 p350)))
-(petri (? c350 p350 (! c351 p351)))
-(petri (? c351 p351 (! c352 p352)))
-(petri (? c352 p352 (! c353 p353)))
-(petri (? c353 p353 (! c354 p354)))
-(petri (? c354 p354 (! c355 p355)))
-(petri (? c355 p355 (! c356 p356)))
-(petri (? c356 p356 (! c357 p357)))
-(petri (? c357 p357 (! c358 p358)))
-(petri (? c358 p358 (! c359 p359)))
-(petri (? c359 p359 (! c360 p360)))
-(petri (? c360 p360 (! c361 p361)))
-(petri (? c361 p361 (! c362 p362)))
-(petri (? c362 p362 (! c363 p363)))
-(petri (? c363 p363 (! c364 p364)))
-(petri (? c364 p364 (! c365 p365)))
-(petri (? c365 p365 (! c366 p366)))
-(petri (? c366 p366 (! c367 p367)))
-(petri (? c367 p367 (! c368 p368)))
-(petri (? c368 p368 (! c369 p369)))
-(petri (? c369 p369 (! c370 p370)))
-(petri (? c370 p370 (! c371 p371)))
-(petri (? c371 p371 (! c372 p372)))
-(petri (? c372 p372 (! c373 p373)))
-(petri (? c373 p373 (! c374 p374)))
-(petri (? c374 p374 (! c375 p375)))
-(petri (? c375 p375 (! c376 p376)))
-(petri (? c376 p376 (! c377 p377)))
-(petri (? c377 p377 (! c378 p378)))
-(petri (? c378 p378 (! c379 p379)))
-(petri (? c379 p379 (! c380 p380)))
-(petri (? c380 p380 (! c381 p381)))
-(petri (? c381 p381 (! c382 p382)))
-(petri (? c382 p382 (! c383 p383)))
-(petri (? c383 p383 (! c384 p384)))
-(petri (? c384 p384 (! c385 p385)))
-(petri (? c385 p385 (! c386 p386)))
-(petri (? c386 p386 (! c387 p387)))
-(petri (? c387 p387 (! c388 p388)))
-(petri (? c388 p388 (! c389 p389)))
-(petri (? c389 p389 (! c390 p390)))
-(petri (? c390 p390 (! c391 p391)))
-(petri (? c391 p391 (! c392 p392)))
-(petri (? c392 p392 (! c393 p393)))
-(petri (? c393 p393 (! c394 p394)))
-(petri (? c394 p394 (! c395 p395)))
-(petri (? c395 p395 (! c396 p396)))
-(petri (? c396 p396 (! c397 p397)))
-(petri (? c397 p397 (! c398 p398)))
-(petri (? c398 p398 (! c399 p399)))
-(petri (? c399 p399 (! c400 p400)))
-(petri (! c0 p0))
-(fuel (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S Z))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
-
-(exec (1 Z) (, (exec (1 $l) $p $t) (fuel (S $k))
-               (petri (? $c $pl $b)) (petri (! $c $pl)))
-            (O (+ (exec (1 (S $l)) $p $t)) (+ (petri $b)) (+ (fuel $k)) (- (fuel (S $k)))))

From bf5027a63634869a03ccd96918bce0782a7ba9fb Mon Sep 17 00:00:00 2001
From: adamv-symbolica <adam.vandervorst@symbolica.ai>
Date: Wed, 19 Aug 2026 16:11:11 +0100
Subject: [PATCH 3/9] State the encoding's invariants instead of re-checking
 them, and stop walking every expression twice

`byte_item` masks an arity, a symbol size and a variable index with
0b0011_1111, so all three are already below 64. Testing `r < 64` before
using a VarRef, or clamping an arity with `.min(64)`, cost a branch and
-- much worse -- read as though a larger value were possible. Those
guards are gone; where the bound matters it is a debug_assert naming
the reason.

The variable cap is handled once rather than per access: the encoding
caps a routable body at 63 variables and a mask cannot name what it
cannot index, so a body past the cap opts out entirely and returns a
zero mask. That is conservative -- a zero mask is the unchanged
enumeration -- and it replaces a bounds check on every NewVar. The test
pins both halves: past the cap nothing is marked, at the cap marking is
normal.

`span()` is itself a full walk of the expression, so calling it and
then walking the bytes did the work twice, once for the body and once
per template. Both walks now run straight off the pointer and stop when
the subterm parse closes.

And the ground stamps do the rest: a template carrying a nonzero stamp
is ground by the stamp's contract, so it holds no variable and is
skipped without being walked at all. That needs the templates as
ExprEnv rather than Expr, which is what the call site already had --
it was flattening them to Expr and discarding the stamps.

Together these take the analysis to parity with not running it.
counter_machine, median of four alignment-varied rounds: 206ms with the
analysis stubbed out, 216ms before this change, 205ms after. bfc,
transitive and tile_puzzle_states are unchanged.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
---
 kernel/src/leapfrog.rs |   2 +-
 kernel/src/space.rs    | 158 ++++++++++++++++++++++-------------------
 2 files changed, 87 insertions(+), 73 deletions(-)

diff --git a/kernel/src/leapfrog.rs b/kernel/src/leapfrog.rs
index 2a41340b..5a235f07 100644
--- a/kernel/src/leapfrog.rs
+++ b/kernel/src/leapfrog.rs
@@ -2708,7 +2708,7 @@ mod tests {
         assert_eq!(last, 2);
         // ... and the mask, given a template that reads only the first two, names that same one.
         let tpl = nest("out", &[var_ref(0), var_ref(1)]);
-        let mask = crate::space::Space::projection_cut_mask(be, &[Expr::from_slice(&tpl)]);
+        let mask = crate::space::Space::projection_cut_mask(be, &[ExprEnv::new(0, Expr::from_slice(&tpl))]);
         assert_eq!(mask, 1 << last);
     }
 
diff --git a/kernel/src/space.rs b/kernel/src/space.rs
index ddda8fa0..d9513303 100644
--- a/kernel/src/space.rs
+++ b/kernel/src/space.rs
@@ -1142,94 +1142,104 @@ impl Space {
     /// pinning it would drop answers rather than duplicates -- `(s (f $_) $y)` must keep
     /// enumerating `$_` while `(s $y (f $_))` need not.
     ///
-    /// This runs on every transform, so it is one allocation-free pass driven by the encoding's
-    /// own [`mork_expr::subterm_parse_step`], and it does not read the templates AT ALL unless
-    /// the body offers a candidate a template could disqualify. That is what keeps a body with
-    /// nothing to cut -- three quarters of counter_machine's -- from paying for a template walk.
-    pub fn projection_cut_mask(pat_expr: Expr, templates: &[Expr]) -> u64 {
-        let pb = unsafe { pat_expr.span().as_ref().unwrap() };
-        if pb.is_empty() { return 0 }
-        let Tag::Arity(nargs) = byte_item(pb[0]) else { return 0 };
-
-        // Pass one over the body: count every variable's mentions, and record per conjunct how
-        // long its trailing run of `NewVar`s is and how many variables its end had numbered.
+    /// Runs on every transform, so it walks each expression ONCE, from the pointer: `span()` is
+    /// itself a full walk, and calling it first would double the cost. Every bound here is
+    /// structural rather than defensive -- `byte_item` masks arities and variable indices with
+    /// `0b0011_1111`, so all three are already below 64 -- and the templates are not read at all
+    /// unless the body leaves a candidate a template could disqualify. A template stamped ground
+    /// is skipped outright: the stamp is that subterm's exact length and asserts it holds no
+    /// variable, so there is nothing in it for this walk to find.
+    pub fn projection_cut_mask(pat_expr: Expr, templates: &[ExprEnv]) -> u64 {
+        let head = unsafe { *pat_expr.ptr };
+        let Tag::Arity(nargs) = byte_item(head) else { return 0 };
+        debug_assert!((nargs as usize) < 64, "byte_item masks an arity to six bits");
+
+        // One pass over the body, from the pointer: count every variable's mentions, and record
+        // per conjunct how long its trailing run of `NewVar`s is and how many variables its end
+        // had numbered.
         let mut occ = [0u32; 64];
-        let mut nv = 0u16;
-        let mut runs = [(0u8, 0u16); 64];
+        let mut nv = 0usize;
+        let mut runs = [(0u8, 0u8); 64];
         let mut any_run = false;
         let mut i = 1usize;
-        for c in 0..(nargs as usize).min(64) {
+        for c in 0..nargs as usize {
             let (mut owed, mut payload) = (1u32, 0u32);
             let mut run = 0u8;
-            while owed > 0 && i < pb.len() {
-                let b = pb[i];
-                let head = payload == 0;
-                mork_expr::subterm_parse_step(b, &mut owed, &mut payload);
+            while owed > 0 {
+                let b = unsafe { *pat_expr.ptr.add(i) };
+                let tag = byte_item(b);
                 i += 1;
-                // A symbol's payload is skipped in one step rather than stepped through, so this
-                // walk is per ITEM rather than per byte.
-                if payload > 0 {
-                    i += payload as usize;
-                    payload = 0;
-                }
-                if !head { continue }
-                match byte_item(b) {
+                owed -= 1;
+                match tag {
+                    // A symbol's payload is stepped over in one go, so this walk is per ITEM.
+                    Tag::SymbolSize(size) => { i += size as usize; run = 0; }
+                    Tag::Arity(a) => { owed += a as u32; run = 0; }
                     Tag::NewVar => {
-                        if nv < 64 { occ[nv as usize] += 1 }
-                        nv = nv.saturating_add(1);
+                        // The encoding caps a routable body at 63 variables, and a mask cannot
+                        // name what it cannot index: a body past the cap simply opts out.
+                        if nv >= 64 { return 0 }
+                        occ[nv] += 1;
+                        nv += 1;
                         run = run.saturating_add(1);
-                        continue;
                     }
-                    Tag::VarRef(r) => { if (r as usize) < 64 { occ[r as usize] += 1 } }
-                    _ => {}
+                    Tag::VarRef(r) => {
+                        debug_assert!((r as usize) < 64, "byte_item masks a VarRef to six bits");
+                        occ[r as usize] += 1;
+                        run = 0;
+                    }
                 }
-                run = 0;
+                let _ = payload;
             }
-            runs[c] = (run, nv);
+            debug_assert!(nv <= 64);
+            runs[c] = (run, nv as u8);
             any_run |= run > 0;
         }
         if !any_run { return 0 }
 
         // A trailing run exists, but only a variable mentioned ONCE can be cut. If nothing
         // survives that test, the templates never need reading.
-        let mut candidates = 0u64;
-        for c in 0..(nargs as usize).min(64) {
-            let (run, end) = runs[c];
-            for k in 0..run as usize {
-                let Some(v) = (end as usize).checked_sub(1 + k) else { break };
-                if v >= 64 || occ[v] != 1 { break }
-                candidates |= 1u64 << v;
+        let trailing = |runs: &[(u8, u8); 64], read: u64| -> u64 {
+            let mut m = 0u64;
+            for c in 0..nargs as usize {
+                let (run, end) = runs[c];
+                for k in 0..run as usize {
+                    let Some(v) = (end as usize).checked_sub(1 + k) else { break };
+                    if occ[v] != 1 || (read >> v) & 1 == 1 { break }
+                    m |= 1u64 << v;
+                }
             }
-        }
+            m
+        };
+        let candidates = trailing(&runs, 0);
         if candidates == 0 { return 0 }
 
-        // Pass two, now earned: which of them does some template read?
+        // Now earned: which of them does some template read? A ground-stamped template holds no
+        // variable by the stamp's own contract, so it is skipped without being walked.
         let mut read = 0u64;
         for t in templates.iter() {
-            let tb = unsafe { t.span().as_ref().unwrap() };
-            let mut j = 0usize;
-            while j < tb.len() {
-                match byte_item(tb[j]) {
-                    Tag::VarRef(r) => { if (r as usize) < 64 { read |= 1u64 << r } j += 1; }
-                    Tag::NewVar => j += 1,
-                    Tag::SymbolSize(size) => j += 1 + size as usize,
-                    Tag::Arity(_) => j += 1,
+            if t.ground_stamp() != 0 { continue }
+            let e = t.subsexpr();
+            let (mut owed, mut j) = (1u32, 0usize);
+            while owed > 0 {
+                let b = unsafe { *e.ptr.add(j) };
+                j += 1;
+                owed -= 1;
+                match byte_item(b) {
+                    Tag::SymbolSize(size) => j += size as usize,
+                    Tag::Arity(a) => owed += a as u32,
+                    Tag::NewVar => {}
+                    Tag::VarRef(r) => {
+                        debug_assert!((r as usize) < 64, "byte_item masks a VarRef to six bits");
+                        read |= 1u64 << r;
+                    }
                 }
             }
+            // Every candidate is spoken for; nothing can be cut, so stop reading templates.
             if read & candidates == candidates { return 0 }
         }
 
         // A read variable stops its conjunct's run at that point, not just for itself.
-        let mut mask = 0u64;
-        for c in 0..(nargs as usize).min(64) {
-            let (run, end) = runs[c];
-            for k in 0..run as usize {
-                let Some(v) = (end as usize).checked_sub(1 + k) else { break };
-                if v >= 64 || occ[v] != 1 || (read >> v) & 1 == 1 { break }
-                mask |= 1u64 << v;
-            }
-        }
-        mask
+        trailing(&runs, read)
     }
 
     pub fn query_multi_dispatch<F : FnMut(Result<&[u32], &Bindings>, Expr) -> bool>(btm: &PathMap<()>, pat_expr: Expr, cut_mask: u64, mut effect: F) -> usize {
@@ -1626,7 +1636,7 @@ impl Space {
         // invisible only to a sink idempotent in them, and the `O` form and the source/sink
         // transforms can carry aggregating sinks -- Count, Sum, And, Head/Tail, the float
         // reductions -- whose result is a function of how many answers arrive.
-        let cut_mask = Self::projection_cut_mask(pat_expr, &templates[..]);
+        let cut_mask = Self::projection_cut_mask(pat_expr, &tpl_args[1..]);
         let mut template_prefixes: Vec<_> = templates.iter().map(|e| unsafe { e.prefix().unwrap_or_else(|x| x).as_ref().unwrap() }).collect();
         let mut subsumption = Self::prefix_subsumption(&template_prefixes[..]);
         let mut placements = subsumption.clone();
@@ -2219,7 +2229,10 @@ mod projection_cut_tests {
 
     fn mask(body: &[u8], templates: &[Vec<u8>]) -> u64 {
         let be = Expr::from_slice(body);
-        let ts: Vec<Expr> = templates.iter().map(|t| Expr::from_slice(&t[..])).collect();
+        let ts: Vec<ExprEnv> = templates
+            .iter()
+            .map(|t| ExprEnv::new(0, Expr::from_slice(&t[..])))
+            .collect();
         Space::projection_cut_mask(be, &ts[..])
     }
 
@@ -2297,19 +2310,20 @@ mod projection_cut_tests {
     }
 
     #[test]
-    fn variables_past_the_encodings_bound_are_never_marked() {
-        // 68 variables across two conjuncts (arity itself caps at 63, so they cannot share one).
-        // The first conjunct's trailing run is nameable and gets marked down to the variable the
-        // template reads. The second conjunct ENDS in variables past bit 63, which the mask
-        // cannot name -- so its run stops dead at the first of them rather than wrapping a bit
-        // onto some other variable.
+    fn a_body_past_the_encodings_variable_cap_opts_out_entirely() {
+        // 68 variables across two conjuncts (an arity itself caps at 63, so they cannot share
+        // one). A mask cannot name a variable it cannot index, and the encoding caps a routable
+        // body at 63 anyway, so rather than bounds-check every access the walk stops at the cap
+        // and the whole body opts out. Conservative: a zero mask is the unchanged enumeration.
         let low: Vec<Vec<u8>> = (0..34).map(|_| nv()).collect();
         let high: Vec<Vec<u8>> = (0..34).map(|_| nv()).collect();
         let body = conj(&[rel("r", &low), rel("s", &high)]);
-        let tpl = rel("out", &[vr(0)]);
-        let m = mask(&body, &[tpl]);
-        let expected: u64 = ((1u64 << 34) - 1) & !1; // bits 1..=33
-        assert_eq!(m, expected);
+        assert_eq!(mask(&body, &[rel("out", &[vr(0)])]), 0);
+        // ... while a body at the cap still marks normally.
+        let at_cap: Vec<Vec<u8>> = (0..40).map(|_| nv()).collect();
+        let body = conj(&[rel("r", &at_cap)]);
+        let m = mask(&body, &[rel("out", &[vr(0)])]);
+        assert_eq!(m, ((1u64 << 40) - 1) & !1, "bits 1..=39, stopping at the one the template reads");
     }
 
     #[test]

From 879845068dc90231d15b5c0b347fa31ac9f8cd3e Mon Sep 17 00:00:00 2001
From: adamv-symbolica <adam.vandervorst@symbolica.ai>
Date: Wed, 19 Aug 2026 17:51:49 +0100
Subject: [PATCH 4/9] The ProductZipper cut must report the variables it
 descends past

`vs!` is the only place the walk learns a candidate is non-ground, and
the cut goes around it: descend_first_subterm took the leftmost path
and passed var_facts through untouched. A leftmost subterm can very
well carry a variable -- an arity byte sorts below a symbol byte, so a
compound like `(f $z)` is exactly what gets picked -- and the leaf then
read that fact as ground and handed it to stamp_ground, whose SAFETY
note is explicit that a false stamp makes consumers settle by memcmp
and skip variable hunts over the span.

descend_first_subterm now ORs in the bit of every factor it finds a
variable in, at item heads only so a symbol's payload cannot be read as
a tag.

The invariant is self-checking from now on: in debug builds the leaf
re-derives groundness by walking the fact's span before stamping, and
panics if the bit disagreed. That discriminates -- with the tracking
removed it fires on differential/corpus/programs/projection_cut.mm2,
which had been reaching the bug all along without the wrong stamp
changing any visible answer.

Both runners could compare stale output. Neither cleared its target nor
checked the exit status, so a crashed or timed-out run left the
PREVIOUS run's space in place and the comparison passed on it. Both now
remove the file first and require a zero exit; the fuzzer reports a cut
build that fails rather than crediting it with the speed-up.

And the explanations at the places called out were too long, and in one
case wrong: the mask's doc claimed every bound in it was structural,
when the variable cap is a real bound with a real early exit.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
---
 differential/projection_cut_fuzz.py | 12 +++-
 examples/transforms/bench_pairs.py  | 10 ++++
 kernel/src/leapfrog.rs              | 11 ++--
 kernel/src/space.rs                 | 91 ++++++++++++++++-------------
 4 files changed, 77 insertions(+), 47 deletions(-)

diff --git a/differential/projection_cut_fuzz.py b/differential/projection_cut_fuzz.py
index 1aed84ba..e7caecbe 100755
--- a/differential/projection_cut_fuzz.py
+++ b/differential/projection_cut_fuzz.py
@@ -221,11 +221,18 @@ def run(binary, prog, out, reps, timeout):
     """
     best, dump = None, None
     for _ in range(reps):
+        # Clear the target first and insist the process succeeded: otherwise a crashed or
+        # timed-out run leaves the PREVIOUS run's space behind and the comparison silently
+        # passes on stale output.
+        if os.path.exists(out):
+            os.remove(out)
         try:
             r = subprocess.run([binary, "run", prog, "--steps", "2", out],
                                capture_output=True, timeout=timeout)
         except subprocess.TimeoutExpired:
             return None, None
+        if r.returncode != 0 or not os.path.exists(out):
+            return None, None
         m = TOOK.search(r.stdout.decode("utf-8", "replace"))
         ms = int(m.group(1)) if m else -1
         best = ms if best is None else min(best, ms)
@@ -306,9 +313,10 @@ def main():
             b_ms, b_dump = run(args.base, prog, prog + ".base.space", args.reps, args.base_timeout)
         c_ms, c_dump = run(args.cut, prog, prog + ".cut.space", args.reps, args.base_timeout)
         if c_ms is None:
-            c_ms = args.base_timeout * 1000
+            print("  case %d: the cut build did not finish or exited nonzero" % len(accepted))
+            c_ms, c_dump = args.base_timeout * 1000, None
 
-        identical = (b_dump == c_dump)
+        identical = (c_dump is not None and b_dump == c_dump)
         # The independent join models an EQUALITY join, which is what the engine performs only
         # when the joined values are ground. In the meta family the read variables bind whole
         # query expressions, so the engine joins them by UNIFICATION and renames their variables
diff --git a/examples/transforms/bench_pairs.py b/examples/transforms/bench_pairs.py
index 9e776b09..21d2ddd5 100755
--- a/examples/transforms/bench_pairs.py
+++ b/examples/transforms/bench_pairs.py
@@ -4,13 +4,23 @@
 import glob, os, re, subprocess, sys
 TOOK = re.compile(r"took (\d+) ms")
 def run(binary, prog, out, steps, reps=3):
+    """Best-of-`reps` query time and the resulting space, or (None, None) if the run failed.
+
+    The target is cleared before every attempt and the exit status is checked: without both, a
+    crashed or timed-out run leaves the PREVIOUS run's space in place and the caller compares
+    stale output, which reads as agreement.
+    """
     best = None
     for _ in range(reps):
+        if os.path.exists(out):
+            os.remove(out)
         try:
             r = subprocess.run([binary, "run", prog, "--steps", str(steps), out],
                                capture_output=True, timeout=600)
         except subprocess.TimeoutExpired:
             return None, None
+        if r.returncode != 0 or not os.path.exists(out):
+            return None, None
         m = TOOK.search(r.stdout.decode("utf-8", "replace"))
         ms = int(m.group(1)) if m else -1
         best = ms if best is None else min(best, ms)
diff --git a/kernel/src/leapfrog.rs b/kernel/src/leapfrog.rs
index 5a235f07..0b845694 100644
--- a/kernel/src/leapfrog.rs
+++ b/kernel/src/leapfrog.rs
@@ -2135,13 +2135,12 @@ impl UnifyJoin<'_> {
         self.free_bufs.push(buf);
     }
 
-    /// The projection cut, as its OWN path: `v` is a singleton nothing downstream reads, so one
-    /// witness stands for its whole domain. Kept separate from [`Self::consume_lead`] so that the
-    /// enumerating path keeps the exact code it had -- a `cut` branch inside the candidate fill's
-    /// loops measured 6% on counter_machine, which is all fill and no cut.
+    /// One witness for `v`, whose whole domain nothing downstream reads.
     ///
-    /// If that one witness does not match, the level re-runs as a full enumeration, so the cut can
-    /// only ever drop a DUPLICATE answer, never the last one.
+    /// Separate from [`Self::consume_lead`] so the enumerating path keeps the code it had: a
+    /// `cut` branch inside the candidate fill's loops measured 6% on counter_machine. If the
+    /// witness does not match, the level re-runs as a full enumeration, so the cut can only ever
+    /// drop a duplicate.
     fn consume_lead_cut(&mut self, parts: &[usize], nr: usize, v: usize, i: usize) {
         if self.stopped {
             return;
diff --git a/kernel/src/space.rs b/kernel/src/space.rs
index d9513303..b3dc6cb6 100644
--- a/kernel/src/space.rs
+++ b/kernel/src/space.rs
@@ -109,13 +109,15 @@ pub(crate) const VARS: [u64; 4] = {
 // - `references` can be elided by not putting the virtual $ Expr's on the `stack` such that _k maps directly to the indices
 // - keeping a needle instead of a stack to avoid the `reverse` (would also create the opportunity to be even more lazy about instruction gen)
 // - use descend_to and re-evaluated the added sub-path to do much better on long paths
-/// Descend the FIRST complete subterm below the focus, byte by byte along the leftmost path,
-/// and report how many bytes that took (0 if the focus is a dead end). Every path stored in the
-/// trie spells a complete expression, so the leftmost walk always closes the subterm it opened --
-/// there is nothing to backtrack. On a ProductZipper the descent also crosses the factor
-/// boundary the moment the subterm ends on a leaf, which is exactly the force-enroll this cut
-/// wants: the next factor engages without the current one being enumerated first.
-fn descend_first_subterm<Z : ZipperMoving + Zipper>(loc: &mut Z) -> usize {
+/// Descend the FIRST complete subterm below the focus, reporting how many bytes that took (0 if
+/// the focus is a dead end) and OR-ing into `var_facts` the bit of every factor whose bytes the
+/// descent found a variable in.
+///
+/// That second job is not optional. `vs!` is the only other place the walk learns a candidate is
+/// non-ground, and this descent goes around it: a leftmost subterm may well carry a variable --
+/// an arity byte sorts below a symbol byte, so a compound like `(f $z)` is exactly what gets
+/// picked -- and reporting the fact as ground would let a consumer stamp it so.
+fn descend_first_subterm<Z : ZipperMoving + Zipper + ZipperProduct>(loc: &mut Z, var_facts: &mut u64) -> usize {
     let (mut owed, mut payload) = (1u32, 0u32);
     let mut n = 0usize;
     while owed > 0 || payload > 0 {
@@ -124,7 +126,12 @@ fn descend_first_subterm<Z : ZipperMoving + Zipper>(loc: &mut Z) -> usize {
             return 0;
         }
         n += 1;
-        mork_expr::subterm_parse_step(*loc.path().last().unwrap(), &mut owed, &mut payload);
+        let b = *loc.path().last().unwrap();
+        let head = payload == 0;
+        mork_expr::subterm_parse_step(b, &mut owed, &mut payload);
+        if head && matches!(byte_item(b), Tag::NewVar | Tag::VarRef(_)) {
+            *var_facts |= 1u64 << loc.focus_factor().min(63);
+        }
     }
     n
 }
@@ -178,14 +185,13 @@ fn coreferential_transition<Z : ZipperProduct, F: FnMut(&mut Z, u64) -> ()>(
                         Some((idx, prev))
                     } else { None };
 
-                    // Nothing downstream reads this variable's value and nothing after it in
-                    // the conjunct depends on the choice, so one witnessing subterm stands for
-                    // the whole subtrie: take the leftmost and move on instead of enumerating
-                    // every variable, size class and arity below this position.
+                    // One witnessing subterm stands for the whole subtrie, so take the leftmost
+                    // instead of enumerating every variable, size class and arity below here.
                     if e.n == 0 && e.v < 64 && (cut_mask >> e.v) & 1 == 1 {
-                        let n = descend_first_subterm(loc);
+                        let mut vf = var_facts;
+                        let n = descend_first_subterm(loc, &mut vf);
                         if n > 0 {
-                            coreferential_transition(loc, stack, references, var_facts, cut_mask, f);
+                            coreferential_transition(loc, stack, references, vf, cut_mask, f);
                             loc.ascend(n);
                         }
                         if let Some((idx, prev)) = restore { references[idx] = prev; }
@@ -1133,22 +1139,13 @@ impl Space {
     /// which `query_multi` handles (or fails on) exactly as it always has, plus the encoding
     /// pathologies `parse_body_factors` rejects (a `VarRef` naming a variable the body never
     /// introduced, or more than `u8::MAX` variables).
-    /// The body variables whose VALUE nothing downstream can observe: no template reads them,
-    /// the body mentions them exactly once, and they sit in their conjunct's TRAILING run.
-    /// Returned as a bitmask over the body's variable numbering (`NewVar`s in first-occurrence
-    /// order), the numbering both engines index by.
-    ///
-    /// Anything earlier in a conjunct decides which subtrie the later columns are drawn from, so
-    /// pinning it would drop answers rather than duplicates -- `(s (f $_) $y)` must keep
-    /// enumerating `$_` while `(s $y (f $_))` need not.
+    /// The body variables no template reads, that the body mentions once, and that sit in their
+    /// conjunct's trailing run. A bitmask over the body's variable numbering (`NewVar`s in
+    /// first-occurrence order), which is what both engines index by.
     ///
-    /// Runs on every transform, so it walks each expression ONCE, from the pointer: `span()` is
-    /// itself a full walk, and calling it first would double the cost. Every bound here is
-    /// structural rather than defensive -- `byte_item` masks arities and variable indices with
-    /// `0b0011_1111`, so all three are already below 64 -- and the templates are not read at all
-    /// unless the body leaves a candidate a template could disqualify. A template stamped ground
-    /// is skipped outright: the stamp is that subterm's exact length and asserts it holds no
-    /// variable, so there is nothing in it for this walk to find.
+    /// The trailing-run condition is the soundness one: anything earlier in a conjunct decides
+    /// which subtrie the later columns come from, so `(s (f $_) $y)` must keep enumerating `$_`
+    /// while `(s $y (f $_))` need not.
     pub fn projection_cut_mask(pat_expr: Expr, templates: &[ExprEnv]) -> u64 {
         let head = unsafe { *pat_expr.ptr };
         let Tag::Arity(nargs) = byte_item(head) else { return 0 };
@@ -1196,8 +1193,6 @@ impl Space {
         }
         if !any_run { return 0 }
 
-        // A trailing run exists, but only a variable mentioned ONCE can be cut. If nothing
-        // survives that test, the templates never need reading.
         let trailing = |runs: &[(u8, u8); 64], read: u64| -> u64 {
             let mut m = 0u64;
             for c in 0..nargs as usize {
@@ -1210,6 +1205,7 @@ impl Space {
             }
             m
         };
+        // Only a variable mentioned once can be cut; if none survives that, no template is read.
         let candidates = trailing(&runs, 0);
         if candidates == 0 { return 0 }
 
@@ -1521,6 +1517,25 @@ impl Space {
                         let span_stamp = |k: usize, start: usize, end: usize| -> u16 {
                             let len = end - start;
                             let ground = var_facts & (1u64 << k.min(63)) == 0;
+                            // `stamp_ground` is unsafe for a reason: a stamp on a span that does
+                            // hold a variable makes consumers settle by memcmp and skip variable
+                            // hunts over it. Re-derive the answer here in debug builds so any
+                            // path that reaches the leaf with a wrong bit is caught at the source
+                            // rather than as a wrong answer somewhere downstream.
+                            #[cfg(debug_assertions)]
+                            if ground {
+                                let mut j = start;
+                                while j < end {
+                                    match byte_item(opath[j]) {
+                                        Tag::SymbolSize(size) => j += 1 + size as usize,
+                                        Tag::NewVar | Tag::VarRef(_) => {
+                                            panic!("fact {k} reported ground but holds a variable \
+                                                    at byte {j} of [{start},{end})");
+                                        }
+                                        Tag::Arity(_) => j += 1,
+                                    }
+                                }
+                            }
                             if ground && len <= u16::MAX as usize { len as u16 } else { 0 }
                         };
 
@@ -1632,10 +1647,9 @@ impl Space {
         let mut tpl_args = Vec::with_capacity(64);
         ExprEnv::new(0, tpl_expr).args(&mut tpl_args);
         let mut templates: Vec<_> = tpl_args[1..].iter().map(|ee| ee.subsexpr()).collect();
-        // Only the plain `,` -> `,` write form may cut. The cut drops DUPLICATE answers, which is
-        // invisible only to a sink idempotent in them, and the `O` form and the source/sink
-        // transforms can carry aggregating sinks -- Count, Sum, And, Head/Tail, the float
-        // reductions -- whose result is a function of how many answers arrive.
+        // The cut drops duplicate answers, so only a sink idempotent in them may use it: this
+        // plain `,` -> `,` form writes into the trie, while `O` and the source/sink transforms
+        // can aggregate over how many answers arrive.
         let cut_mask = Self::projection_cut_mask(pat_expr, &tpl_args[1..]);
         let mut template_prefixes: Vec<_> = templates.iter().map(|e| unsafe { e.prefix().unwrap_or_else(|x| x).as_ref().unwrap() }).collect();
         let mut subsumption = Self::prefix_subsumption(&template_prefixes[..]);
@@ -2311,10 +2325,9 @@ mod projection_cut_tests {
 
     #[test]
     fn a_body_past_the_encodings_variable_cap_opts_out_entirely() {
-        // 68 variables across two conjuncts (an arity itself caps at 63, so they cannot share
-        // one). A mask cannot name a variable it cannot index, and the encoding caps a routable
-        // body at 63 anyway, so rather than bounds-check every access the walk stops at the cap
-        // and the whole body opts out. Conservative: a zero mask is the unchanged enumeration.
+        // Rather than bounds-check every access, the walk stops at the cap and the body opts
+        // out. A zero mask is the unchanged enumeration, so that is the conservative direction.
+        // (Two conjuncts because an arity caps at 63 too.)
         let low: Vec<Vec<u8>> = (0..34).map(|_| nv()).collect();
         let high: Vec<Vec<u8>> = (0..34).map(|_| nv()).collect();
         let body = conj(&[rel("r", &low), rel("s", &high)]);

From 93b7343cff8b8320cc1a7dd2908577eda56af9aa Mon Sep 17 00:00:00 2001
From: adamv-symbolica <adam.vandervorst@symbolica.ai>
Date: Wed, 19 Aug 2026 18:17:23 +0100
Subject: [PATCH 5/9] Time each pair ABBA, not baseline-first

The harness ran the baseline then the variant for every pair. Over a
benchmark that takes tens of seconds, drift across the pair is
monotonic, so whichever runs second is charged for it -- a systematic
bias, not noise that averages out. Each program is now timed twice, on
either side of the other, and the best of each is kept.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
---
 examples/transforms/bench_pairs.py | 11 +++++++++--
 1 file changed, 9 insertions(+), 2 deletions(-)

diff --git a/examples/transforms/bench_pairs.py b/examples/transforms/bench_pairs.py
index 21d2ddd5..c0b62507 100755
--- a/examples/transforms/bench_pairs.py
+++ b/examples/transforms/bench_pairs.py
@@ -40,8 +40,15 @@ def main(d, steps, prefixes):
                 continue
             row, agree = [], []
             for e in ["lf", "pz"]:
-                bn, bd = run(f"/tmp/paj-v4-{e}", base, f"/tmp/bp_{n}_{e}_n.space", steps)
-                on, od = run(f"/tmp/paj-v4-{e}", v, f"/tmp/bp_{n}_{e}_o.space", steps)
+                # ABBA: time each program twice, on either side of the other, and keep the best
+                # of each. Always running the baseline first biases a long benchmark against
+                # whichever runs second, because drift over the pair is monotonic.
+                bn1, bd = run(f"/tmp/paj-v4-{e}", base, f"/tmp/bp_{n}_{e}_n.space", steps)
+                on1, od = run(f"/tmp/paj-v4-{e}", v, f"/tmp/bp_{n}_{e}_o.space", steps)
+                on2, _ = run(f"/tmp/paj-v4-{e}", v, f"/tmp/bp_{n}_{e}_o.space", steps)
+                bn2, _ = run(f"/tmp/paj-v4-{e}", base, f"/tmp/bp_{n}_{e}_n.space", steps)
+                bn = min(x for x in (bn1, bn2) if x is not None) if (bn1 or bn2) else None
+                on = min(x for x in (on1, on2) if x is not None) if (on1 or on2) else None
                 if bn is None or on is None:
                     row += ["t/o", "t/o", 0.0]; agree.append("?"); continue
                 row += [bn, on, bn / max(on, 0.5)]

From 8e989b546c749de67c34a91d3662e0f8d438e413 Mon Sep 17 00:00:00 2001
From: adamv-symbolica <adam.vandervorst@symbolica.ai>
Date: Thu, 20 Aug 2026 10:58:49 +0100
Subject: [PATCH 6/9] The process-calculus delta needs symmetric arms

A self-join over one relation needs BOTH deltas: new receivers against
every message, and every receiver against new messages. The lowering
had only the second, so a communication that derives a RECEIVER never
reacted with a message already in the soup -- it was incomplete, not
just slower.

The cascade I measured hid it: every body it derives is a message, so
the missing arm never had anything to do. A soup where receiving yields
a receiver shows it at once -- the monotone rule derives (! deep ok)
and the one-armed delta does not.

Both arms now run, alternated by the same IC controller
process_calculus_bench uses for its own two rules, and the corpus
program carries a soup that catches the difference. Getting it to catch
took three tries, which is worth recording: the delta only loses an
answer when the message has already been RETIRED from the worklist, so
the shape needs an early consumer to retire (! r1 q1) in the first
round and a late-derived receiver that then has to find it in the full
relation. Seeded-and-never-matched, or derived-while-still-pending, and
the one-armed version passes by luck. Verified by removing arm 0: pD
loses exactly (! deep ok).

Also: `min(...) if (bn1 or bn2) else None` in the bench harness read a
genuine 0 ms as failure. Only None is failure.

And `mork test` gains projection_cut_variables, covering what the cut
must take (a trailing don't-care with fan-out, a schematic witness) and
what it must refuse (a non-trailing one, the same nested, and a
repeated variable that is a join variable).

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
---
 .../programs/transform_process_calculus.mm2   | 41 +++++++---
 .../transform_process_calculus.expected       | 32 ++++++--
 examples/transforms/bench_pairs.py            |  5 +-
 examples/transforms/generate.py               |  8 +-
 kernel/src/main.rs                            | 75 +++++++++++++++++++
 5 files changed, 138 insertions(+), 23 deletions(-)

diff --git a/differential/corpus/programs/transform_process_calculus.mm2 b/differential/corpus/programs/transform_process_calculus.mm2
index 9a653a79..87f676dc 100644
--- a/differential/corpus/programs/transform_process_calculus.mm2
+++ b/differential/corpus/programs/transform_process_calculus.mm2
@@ -9,18 +9,34 @@
 (pN (? c0 p0 (! c1 p1)))
 (pN (? c1 p1 (! c2 p2)))
 (pN (? c2 p2 (! c3 p3)))
-(pN (? c3 p3 (! c4 p4)))
+(pN (? c3 p3 (! r0 q0)))
+(pN (? r0 q0 (? r1 q1 (! deep ok))))
+(pN (? r1 q1 (! early seen)))
+(pN (! r1 q1))
 (pN (! c0 p0))
 (pD (? c0 p0 (! c1 p1)))
 (pD (? c1 p1 (! c2 p2)))
 (pD (? c2 p2 (! c3 p3)))
-(pD (? c3 p3 (! c4 p4)))
+(pD (? c3 p3 (! r0 q0)))
+(pD (? r0 q0 (? r1 q1 (! deep ok))))
+(pD (? r1 q1 (! early seen)))
+(pD (! r1 q1))
 (pD (! c0 p0))
-(dmsg (! c0 p0))
+(dD (? c0 p0 (! c1 p1)))
+(dD (? c1 p1 (! c2 p2)))
+(dD (? c2 p2 (! c3 p3)))
+(dD (? c3 p3 (! r0 q0)))
+(dD (? r0 q0 (? r1 q1 (! deep ok))))
+(dD (? r1 q1 (! early seen)))
+(dD (! r1 q1))
+(dD (! c0 p0))
 (pC (? c0 p0 (! c1 p1)))
 (pC (? c1 p1 (! c2 p2)))
 (pC (? c2 p2 (! c3 p3)))
-(pC (? c3 p3 (! c4 p4)))
+(pC (? c3 p3 (! r0 q0)))
+(pC (? r0 q0 (? r1 q1 (! deep ok))))
+(pC (? r1 q1 (! early seen)))
+(pC (! r1 q1))
 (pC (! c0 p0))
 (fN (S (S (S (S (S (S Z)))))))
 (fD (S (S (S (S (S (S Z)))))))
@@ -30,12 +46,17 @@
 (exec (1 Z) (, (exec (1 $l) $p $t) (fN (S $k)) (pN (? $c $pl $b)) (pN (! $c $pl)))
             (O (+ (exec (1 (S $l)) $p $t)) (+ (pN $b)) (+ (fN $k)) (- (fN (S $k)))))
 
-;; (b) delta on the message side. Promotion is folded INTO the rule: a separate promotion exec
-;; would be starved, because this family re-adds itself and sorts first, so it would consume all
-;; the fuel before the promoter ever ran.
-(exec (2 Z) (, (exec (2 $l) $p $t) (fD (S $k)) (pD (? $c $pl $b)) (dmsg (! $c $pl)))
-            (O (+ (exec (2 (S $l)) $p $t)) (+ (pD $b)) (+ (dmsg $b))
-               (- (dmsg (! $c $pl))) (+ (fD $k)) (- (fD (S $k)))))
+;; (b) SYMMETRIC delta. A self-join over one relation needs both arms: new receivers against
+;; every message, and every receiver against new messages. With only the second, a communication
+;; that derives a RECEIVER never reacts with a message already in the soup -- which is what the
+;; (? r0 ..) pair above is here to catch.
+((armD 0) (, (dD (? $c $pl $b)) (pD (! $c $pl)))
+          (O (+ (pD $b)) (+ (dD $b)) (- (dD (? $c $pl $b)))))
+((armD 1) (, (pD (? $c $pl $b)) (dD (! $c $pl)))
+          (O (+ (pD $b)) (+ (dD $b)) (- (dD (! $c $pl)))))
+(exec (2 (IC 0 1 (S (S (S (S (S (S (S (S (S (S Z))))))))))))
+      (, (exec (2 (IC $x $y (S $c))) $sp $st) ((armD $x) $p $t))
+      (, (exec (2 (IC $y $x $c)) $sp $st) (exec (2 (R $x)) $p $t)))
 
 ;; (c) consuming: the reagents are retired, so no intermediate is ever kept and the
 ;; re-derivation is removed at its source rather than filtered afterwards
diff --git a/differential/expected/programs/transform_process_calculus.expected b/differential/expected/programs/transform_process_calculus.expected
index 0b8f690c..ed49c5e4 100644
--- a/differential/expected/programs/transform_process_calculus.expected
+++ b/differential/expected/programs/transform_process_calculus.expected
@@ -1,23 +1,39 @@
-(fC (S (S Z)))
-(fD (S (S Z)))
+(dD (! deep ok))
+(dD (! early seen))
+(fC (S Z))
+(fD (S (S (S (S (S (S Z)))))))
 (fN Z)
-(pC (! c4 p4))
+(pC (! early seen))
+(pC (? r1 q1 (! deep ok)))
 (pD (! c0 p0))
 (pD (! c1 p1))
 (pD (! c2 p2))
 (pD (! c3 p3))
-(pD (! c4 p4))
+(pD (! r0 q0))
+(pD (! r1 q1))
+(pD (! deep ok))
+(pD (! early seen))
 (pD (? c0 p0 (! c1 p1)))
 (pD (? c1 p1 (! c2 p2)))
 (pD (? c2 p2 (! c3 p3)))
-(pD (? c3 p3 (! c4 p4)))
+(pD (? c3 p3 (! r0 q0)))
+(pD (? r0 q0 (? r1 q1 (! deep ok))))
+(pD (? r1 q1 (! deep ok)))
+(pD (? r1 q1 (! early seen)))
 (pN (! c0 p0))
 (pN (! c1 p1))
 (pN (! c2 p2))
 (pN (! c3 p3))
-(pN (! c4 p4))
+(pN (! r0 q0))
+(pN (! r1 q1))
+(pN (! deep ok))
+(pN (! early seen))
 (pN (? c0 p0 (! c1 p1)))
 (pN (? c1 p1 (! c2 p2)))
 (pN (? c2 p2 (! c3 p3)))
-(pN (? c3 p3 (! c4 p4)))
-(dmsg (! c4 p4))
+(pN (? c3 p3 (! r0 q0)))
+(pN (? r0 q0 (? r1 q1 (! deep ok))))
+(pN (? r1 q1 (! deep ok)))
+(pN (? r1 q1 (! early seen)))
+((armD 0) (, (dD (? $a $b $c)) (pD (! $a $b))) (O (+ (pD $c)) (+ (dD $c)) (- (dD (? $a $b $c)))))
+((armD 1) (, (pD (? $a $b $c)) (dD (! $a $b))) (O (+ (pD $c)) (+ (dD $c)) (- (dD (! $a $b)))))
diff --git a/examples/transforms/bench_pairs.py b/examples/transforms/bench_pairs.py
index c0b62507..74f7088c 100755
--- a/examples/transforms/bench_pairs.py
+++ b/examples/transforms/bench_pairs.py
@@ -47,8 +47,9 @@ def main(d, steps, prefixes):
                 on1, od = run(f"/tmp/paj-v4-{e}", v, f"/tmp/bp_{n}_{e}_o.space", steps)
                 on2, _ = run(f"/tmp/paj-v4-{e}", v, f"/tmp/bp_{n}_{e}_o.space", steps)
                 bn2, _ = run(f"/tmp/paj-v4-{e}", base, f"/tmp/bp_{n}_{e}_n.space", steps)
-                bn = min(x for x in (bn1, bn2) if x is not None) if (bn1 or bn2) else None
-                on = min(x for x in (on1, on2) if x is not None) if (on1 or on2) else None
+                # `if (bn1 or bn2)` would read a genuine 0 ms as failure; only None is failure.
+                best = lambda *xs: min([x for x in xs if x is not None], default=None)
+                bn, on = best(bn1, bn2), best(on1, on2)
                 if bn is None or on is None:
                     row += ["t/o", "t/o", 0.0]; agree.append("?"); continue
                 row += [bn, on, bn / max(on, 0.5)]
diff --git a/examples/transforms/generate.py b/examples/transforms/generate.py
index aed1a163..d7a19b9b 100755
--- a/examples/transforms/generate.py
+++ b/examples/transforms/generate.py
@@ -9,7 +9,7 @@
 """
 import os, random, sys
 
-RULES = {'cyc_naive': '(exec 9 (, (e $a $b) (e $b $c) (e $c $d) (e $d $f) (e $f $g) (e $g $a)) (, (cyc6 $a)))', 'cyc_staged': '(exec (1 0) (, (e $a $b) (e $b $c) (e $c $d)) (, (p3 $a $d)))\n(exec (1 1) (, (p3 $a $d) (e $d $f) (e $f $g) (e $g $a)) (, (cyc6 $a)))', 'clq_naive': '(exec 9 (, (edge $x0 $x1) (edge $x0 $x2) (edge $x0 $x3) (edge $x1 $x2) (edge $x1 $x3) (edge $x2 $x3))\n        (, (c4 $x0 $x1 $x2 $x3)))', 'clq_staged': '(exec (1 0) (, (edge $x0 $x1) (edge $x0 $x2) (edge $x1 $x2)) (, (tri $x0 $x1 $x2)))\n(exec (1 1) (, (tri $x0 $x1 $x2) (edge $x0 $x3) (edge $x1 $x3) (edge $x2 $x3))\n            (, (c4 $x0 $x1 $x2 $x3)))', 'craft_naive': '(exec 9 (, (recipe $p (numIngredients 2)) (recipe $p (result (id $n)))\n           (recipe $p (pattern 0 $x)) (recipe $p (key ($x $xi)))\n           (recipe $p (pattern 1 $y)) (recipe $p (key ($y $yi)))\n           (inventory $xi) (inventory $yi))\n        (, (craftable $n)))', 'craft_staged': '(exec (1 0) (, (recipe $p (pattern 0 $x)) (recipe $p (key ($x $xi))) (inventory $xi)) (, (ok0 $p)))\n(exec (1 1) (, (recipe $p (pattern 1 $y)) (recipe $p (key ($y $yi))) (inventory $yi)) (, (ok1 $p)))\n(exec (1 2) (, (recipe $p (numIngredients 2)) (ok0 $p) (ok1 $p) (recipe $p (result (id $n))))\n            (, (craftable $n)))', 'lts_naive': '(exec (1 Z) (, (exec (1 $l) $p $t) (fuelN (S $k)) (state $s) (trans $s $u))\n            (O (+ (exec (1 (S $l)) $p $t)) (+ (state $u)) (+ (fuelN $k)) (- (fuelN (S $k)))))', 'lts_delta': ';; One exec: take the worklist, publish successors into both the state set and the worklist,\n;; retire what was taken. A separate promotion exec would be starved -- this family re-adds\n;; itself and sorts first, so it consumes all the fuel before the promoter ever runs.\n(exec (1 Z) (, (exec (1 $l) $p $t) (fuelD (S $k)) (dstate $s) (trans $s $u))\n            (O (+ (exec (1 (S $l)) $p $t)) (+ (state $u)) (+ (dstate $u))\n               (- (dstate $s)) (+ (fuelD $k)) (- (fuelD (S $k)))))', 'pc3_naive': '(exec (1 Z) (, (exec (1 $l) $p $t) (fuel (S $k))\n               (petri (? $c $pl $b)) (petri (! $c $pl)))\n            (O (+ (exec (1 (S $l)) $p $t)) (+ (petri $b)) (+ (fuel $k)) (- (fuel (S $k)))))', 'pc3_delta': '(exec (1 Z) (, (exec (1 $l) $p $t) (fuel (S $k))\n               (petri (? $c $pl $b)) (dmsg (! $c $pl)))\n            (O (+ (exec (1 (S $l)) $p $t)) (+ (petri $b)) (+ (dmsg $b))\n               (- (dmsg (! $c $pl))) (+ (fuel $k)) (- (fuel (S $k)))))', 'pc3_consume': '(exec (1 Z) (, (exec (1 $l) $p $t) (fuel (S $k))\n               (petri (? $c $pl $b)) (petri (! $c $pl)))\n            (O (+ (exec (1 (S $l)) $p $t)) (+ (petri $b))\n               (- (petri (? $c $pl $b))) (- (petri (! $c $pl)))\n               (+ (fuel $k)) (- (fuel (S $k)))))'}
+RULES = {'cyc_naive': '(exec 9 (, (e $a $b) (e $b $c) (e $c $d) (e $d $f) (e $f $g) (e $g $a)) (, (cyc6 $a)))', 'cyc_staged': '(exec (1 0) (, (e $a $b) (e $b $c) (e $c $d)) (, (p3 $a $d)))\n(exec (1 1) (, (p3 $a $d) (e $d $f) (e $f $g) (e $g $a)) (, (cyc6 $a)))', 'clq_naive': '(exec 9 (, (edge $x0 $x1) (edge $x0 $x2) (edge $x0 $x3) (edge $x1 $x2) (edge $x1 $x3) (edge $x2 $x3))\n        (, (c4 $x0 $x1 $x2 $x3)))', 'clq_staged': '(exec (1 0) (, (edge $x0 $x1) (edge $x0 $x2) (edge $x1 $x2)) (, (tri $x0 $x1 $x2)))\n(exec (1 1) (, (tri $x0 $x1 $x2) (edge $x0 $x3) (edge $x1 $x3) (edge $x2 $x3))\n            (, (c4 $x0 $x1 $x2 $x3)))', 'craft_naive': '(exec 9 (, (recipe $p (numIngredients 2)) (recipe $p (result (id $n)))\n           (recipe $p (pattern 0 $x)) (recipe $p (key ($x $xi)))\n           (recipe $p (pattern 1 $y)) (recipe $p (key ($y $yi)))\n           (inventory $xi) (inventory $yi))\n        (, (craftable $n)))', 'craft_staged': '(exec (1 0) (, (recipe $p (pattern 0 $x)) (recipe $p (key ($x $xi))) (inventory $xi)) (, (ok0 $p)))\n(exec (1 1) (, (recipe $p (pattern 1 $y)) (recipe $p (key ($y $yi))) (inventory $yi)) (, (ok1 $p)))\n(exec (1 2) (, (recipe $p (numIngredients 2)) (ok0 $p) (ok1 $p) (recipe $p (result (id $n))))\n            (, (craftable $n)))', 'lts_naive': '(exec (1 Z) (, (exec (1 $l) $p $t) (fuelN (S $k)) (state $s) (trans $s $u))\n            (O (+ (exec (1 (S $l)) $p $t)) (+ (state $u)) (+ (fuelN $k)) (- (fuelN (S $k)))))', 'lts_delta': ';; One exec: take the worklist, publish successors into both the state set and the worklist,\n;; retire what was taken. A separate promotion exec would be starved -- this family re-adds\n;; itself and sorts first, so it consumes all the fuel before the promoter ever runs.\n(exec (1 Z) (, (exec (1 $l) $p $t) (fuelD (S $k)) (dstate $s) (trans $s $u))\n            (O (+ (exec (1 (S $l)) $p $t)) (+ (state $u)) (+ (dstate $u))\n               (- (dstate $s)) (+ (fuelD $k)) (- (fuelD (S $k)))))', 'pc3_naive': '(exec (1 Z) (, (exec (1 $l) $p $t) (fuel (S $k))\n               (petri (? $c $pl $b)) (petri (! $c $pl)))\n            (O (+ (exec (1 (S $l)) $p $t)) (+ (petri $b)) (+ (fuel $k)) (- (fuel (S $k)))))', 'pc3_delta': ';; Symmetric arms. A self-join over one relation needs BOTH deltas: new receivers against\n;; every message, and every receiver against new messages. With only the second, a\n;; communication that derives a RECEIVER never reacts with a message already in the soup.\n((arm 0) (, (dnew (? $c $pl $b)) (petri (! $c $pl)))\n         (O (+ (petri $b)) (+ (dnew $b)) (- (dnew (? $c $pl $b)))))\n((arm 1) (, (petri (? $c $pl $b)) (dnew (! $c $pl)))\n         (O (+ (petri $b)) (+ (dnew $b)) (- (dnew (! $c $pl)))))\n;; round-robin over the arms, the way process_calculus_bench drives its own two rules\n(exec (IC 0 1 FUEL) (, (exec (IC $x $y (S $c)) $sp $st) ((arm $x) $p $t))\n                    (, (exec (IC $y $x $c) $sp $st) (exec (R $x) $p $t)))', 'pc3_consume': '(exec (1 Z) (, (exec (1 $l) $p $t) (fuel (S $k))\n               (petri (? $c $pl $b)) (petri (! $c $pl)))\n            (O (+ (exec (1 (S $l)) $p $t)) (+ (petri $b))\n               (- (petri (? $c $pl $b))) (- (petri (! $c $pl)))\n               (+ (fuel $k)) (- (fuel (S $k)))))'}
 
 def main(outdir):
     os.makedirs(outdir, exist_ok=True)
@@ -99,8 +99,10 @@ def main(outdir):
         for _ in range(n + 5): fuel = "(S %s)" % fuel
         head = soup + "\n(petri (! c0 p0))\n(fuel %s)\n" % fuel
         w("pc%d_naive.mm2" % n, head + RULES["pc3_naive"] + "\n")
-        w("pc%d_delta.mm2" % n, soup + "\n(petri (! c0 p0))\n(dmsg (! c0 p0))\n(fuel %s)\n" % fuel
-                                + RULES["pc3_delta"] + "\n")
+        # everything is new at the start, so the worklist is seeded with the whole soup
+        dnew = soup.replace("(petri ", "(dnew ") + "\n(dnew (! c0 p0))\n"
+        w("pc%d_delta.mm2" % n, soup + "\n(petri (! c0 p0))\n" + dnew
+                                + RULES["pc3_delta"].replace("FUEL", fuel) + "\n")
         w("pc%d_consume.mm2" % n, head + RULES["pc3_consume"] + "\n")
     print("wrote all programs to " + outdir)
 
diff --git a/kernel/src/main.rs b/kernel/src/main.rs
index 5ca02c01..ea7a0f93 100644
--- a/kernel/src/main.rs
+++ b/kernel/src/main.rs
@@ -852,6 +852,80 @@ f
 /// A bare top-level SYMBOL conjunct is an existence check on that atom: the body fires when the
 /// symbol is present and never when it is absent. It is also a shape the leapfrog join declines
 /// (no arity, so no columns to seek), so this covers the fallback under either feature setting.
+/// The projection cut: a body variable no template reads, mentioned once, in its conjunct's
+/// trailing run, may be answered with ONE witness instead of its whole domain. What matters is
+/// that this never changes the answer set -- so every shape below is checked, including the ones
+/// the cut must refuse.
+fn projection_cut_variables() {
+    let mut s = Space::new();
+
+    const SPACE_EXPRS: &str = r#"
+(r a)
+(r b)
+(s a p)
+(s a q)
+(s a t)
+(s b t)
+(gg p 1)
+(gg p 2)
+(gg q 3)
+(hh (kk p 1))
+(hh (kk p 2))
+(hh (kk q 3))
+(jl 1)
+(jl 2)
+(jl 3)
+(jr 2)
+(jr 3)
+(jr 4)
+(je 7)
+(sv k plain)
+(sv k (f $z))
+(sv k (g $w $v))
+(exec (0 0) (, (r $x) (s $x $_)) (, (cut1 $x)))
+(exec (0 1) (, (gg $m $n)) (, (keep1 $n)))
+(exec (0 2) (, (hh (kk $mm $nn))) (, (keep2 $nn)))
+(exec (0 3) (, (jl $p) (jr $p) (je $q)) (, (keep3 $q)))
+(exec (0 4) (, (sv $y $_)) (, (cut2 $y)))
+    "#;
+
+    s.add_all_sexpr(SPACE_EXPRS.as_bytes()).unwrap();
+    let t0 = Instant::now();
+    let steps = s.metta_calculus(1000000000000000);
+    println!("elapsed {} steps {} size {}", t0.elapsed().as_millis(), steps, s.btm.val_count());
+
+    let mut v = vec![];
+    s.dump_all_sexpr(&mut v).unwrap();
+    let res = String::from_utf8_lossy_owned(v);
+    println!("result: {res}");
+    let rows = |p: &str| res.lines().filter(|l| l.starts_with(p)).count();
+
+    // `$_` is trailing, mentioned once, and unread: `a` has three witnesses and `b` one, and the
+    // answer is one row each either way.
+    assert!(res.contains("(cut1 a)
+") && res.contains("(cut1 b)
+"), "both keys must answer");
+    assert_eq!(rows("(cut1 "), 2, "one row per key, whatever the fan-out");
+
+    // A witness may be schematic. `(f $z)` is what a leftmost descent reaches -- an arity byte
+    // sorts below a symbol byte -- so this is also the shape that catches a cut reporting a
+    // variable-carrying fact as ground.
+    assert_eq!(rows("(cut2 "), 1, "schematic witnesses collapse to the one key");
+    assert!(res.contains("(cut2 k)
+"));
+
+    // `$m` is NOT trailing: it decides which subtrie `$n` is drawn from, so pinning it would drop
+    // `$n` values rather than duplicates. All three must survive, nested or not.
+    assert_eq!(rows("(keep1 "), 3, "a non-trailing don't-care must keep enumerating");
+    assert_eq!(rows("(keep2 "), 3, "... one level down as well");
+
+    // `$p` is unread but mentioned twice, so it is a join variable and must still intersect:
+    // jl and jr agree on 2 and 3, so the body holds and `$q` comes through exactly once.
+    assert_eq!(rows("(keep3 "), 1, "a repeated variable is a join variable, not a don't-care");
+    assert!(res.contains("(keep3 7)
+"));
+}
+
 fn top_level_symbol() {
     let mut s = Space::new();
 
@@ -6279,6 +6353,7 @@ fn main() {
             data_varref_absorbs_query_compound_newvars();
             top_level_match();
             top_level_symbol();
+            projection_cut_variables();
             large_statement();
 
             process_calculus_reverse();

From cf3851cf1011653712e9086d595cfbdbf60580f7 Mon Sep 17 00:00:00 2001
From: adamv-symbolica <adam.vandervorst@symbolica.ai>
Date: Thu, 20 Aug 2026 12:12:21 +0100
Subject: [PATCH 7/9] ACT_PATH is an environment variable with a per-platform
 default

It was a hardcoded `pub static ACT_PATH = "/dev/shm/"`, so every ACT
test failed off Linux: macOS has no /dev/shm, and `mork test` died at
the first backup_tree with a bare NotFound.

`act_path()` now reads the ACT_PATH environment variable, and otherwise
takes the best temporary location the platform offers: /dev/shm on
Linux when it is mounted, since a tmpfs keeps an ACT out of the disk,
and the OS temp directory elsewhere -- TMPDIR on macOS, which launchd
always sets per-user, and TEMP/TMP on Windows. The separator is
appended if missing and the directory is created if absent, so pointing
ACT_PATH at a fresh path just works.

Verified on macOS three ways: the default writes to $TMPDIR
(/var/folders/../T/two_bipolar_equal_crossed.act), an explicit
ACT_PATH is honoured, and a non-existent one is created.

This does not make `mork test` pass here. It now reaches a hash
assertion that expects (result XoicVnQv2bk) and gets (result
-Egab4rQ3Nc). That failure is main's, not this branch's: main with its
constant repointed at a real directory fails at the same test with the
same two values. Left alone.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
---
 kernel/src/main.rs  | 12 ++++++------
 kernel/src/sinks.rs |  4 ++--
 kernel/src/space.rs | 42 +++++++++++++++++++++++++++++++++++++++---
 3 files changed, 47 insertions(+), 11 deletions(-)

diff --git a/kernel/src/main.rs b/kernel/src/main.rs
index ea7a0f93..bd77ee09 100644
--- a/kernel/src/main.rs
+++ b/kernel/src/main.rs
@@ -1,7 +1,7 @@
 #![feature(string_from_utf8_lossy_owned)]
 
 use mork::{expr, prefix, sexpr, space};
-use mork::space::{transitions, unifications, writes, Space, ACT_PATH};
+use mork::space::{transitions, unifications, writes, Space, act_path};
 use mork_frontend::bytestring_parser::Parser;
 use mork_expr::{item_byte, serialize, SourceItem, Tag};
 use pathmap::PathMap;
@@ -2047,7 +2047,7 @@ fn source_act_two_bipolar_equal_crossed() {
     "#;
 
         act_s.add_all_sexpr(SPACE_EXPRS.as_bytes()).unwrap();
-        act_s.backup_tree(format!("{ACT_PATH}two_bipolar_equal_crossed.act")).unwrap();
+        act_s.backup_tree(format!("{}two_bipolar_equal_crossed.act", act_path())).unwrap();
     };
 
     let mut s = Space::new();
@@ -2079,7 +2079,7 @@ fn source_space_act_two_bipolar_equal_crossed() {
     "#;
 
         act_s.add_all_sexpr(SPACE_EXPRS.as_bytes()).unwrap();
-        act_s.backup_tree(format!("{ACT_PATH}space_two_bipolar_equal_crossed.act")).unwrap();
+        act_s.backup_tree(format!("{}space_two_bipolar_equal_crossed.act", act_path())).unwrap();
     };
 
     let mut s = Space::new();
@@ -3072,7 +3072,7 @@ fn sink_act_readback() {
 
     {
         let mut s = Space::new();
-        s.restore_tree(format!("{}sink_act_readback.act", ACT_PATH));
+        s.restore_tree(format!("{}sink_act_readback.act", act_path()));
         let mut v = vec![];
         s.dump_all_sexpr(&mut v).unwrap();
         let res = String::from_utf8_lossy_owned(v);
@@ -3100,7 +3100,7 @@ fn sink_act_mixed_readback() {
 
     {
         let mut s = Space::new();
-        s.restore_tree(format!("{}sink_act_mixed_readback.act", ACT_PATH));
+        s.restore_tree(format!("{}sink_act_mixed_readback.act", act_path()));
         let mut v = vec![];
         s.dump_all_sexpr(&mut v).unwrap();
         let res = String::from_utf8_lossy_owned(v);
@@ -3706,7 +3706,7 @@ fn bench_logic_query_act() {
 
     // let mut expr_buf = vec![];
     // std::fs::File::open(format!("{PROJECT_PATH}/resources/big.act")).unwrap().read_to_end(&mut expr_buf).unwrap();
-    std::fs::copy(format!("{PROJECT_PATH}/resources/big.act"), format!("{}big.act", ACT_PATH));
+    std::fs::copy(format!("{PROJECT_PATH}/resources/big.act"), format!("{}big.act", act_path()));
 
     let mut t0 = Instant::now();
     s.add_all_sexpr(b"(exec 0 (I (ACT big (axiom $x)) (ACT big (axiom $x))) (, (combined $x)))").unwrap();
diff --git a/kernel/src/sinks.rs b/kernel/src/sinks.rs
index 4c6bacbf..084e6310 100644
--- a/kernel/src/sinks.rs
+++ b/kernel/src/sinks.rs
@@ -30,7 +30,7 @@ use eval::EvalScope;
 use eval_ffi::{ExprSink, ExprSource};
 use mork_expr::macros::SerializableExpr;
 use crate::{expr, pure};
-use crate::space::ACT_PATH;
+use crate::space::act_path;
 
 #[derive(Eq, PartialEq, Debug)]
 pub enum WriteResourceRequest {
@@ -329,7 +329,7 @@ impl Sink for ACTSink {
         trace!(target: "sink", "ACT finalizing");
         let _ = it.next().unwrap() else { unreachable!() };
         pathmap::arena_compact::ArenaCompactTree::dump_from_zipper(
-            self.tmp.read_zipper(), |_v| 0, format!("{}{}.act", ACT_PATH, self.file)).map(|_tree| ());
+            self.tmp.read_zipper(), |_v| 0, format!("{}{}.act", act_path(), self.file)).map(|_tree| ());
         true
     }
 }
diff --git a/kernel/src/space.rs b/kernel/src/space.rs
index b3dc6cb6..fcfe1e76 100644
--- a/kernel/src/space.rs
+++ b/kernel/src/space.rs
@@ -32,8 +32,44 @@ pub static mut transitions: usize = 0;
 pub static mut unifications: usize = 0;
 pub static mut writes: usize = 0;
 
-pub static ACT_PATH: &'static str = "/dev/shm/";
-// pub static ACT_PATH: &'static str = "/mnt/data/";
+/// Where `ArenaCompactTree` files are written and mmapped from, always ending in a separator.
+///
+/// Set the `ACT_PATH` environment variable to choose the directory. Otherwise the default is the
+/// best temporary location the platform offers: on Linux `/dev/shm`, a tmpfs, so an ACT never
+/// reaches a disk; elsewhere the OS temp directory, which is `TMPDIR` on macOS (launchd always
+/// sets it, per-user) and `TEMP`/`TMP` on Windows -- neither has a `/dev/shm` to fall back to,
+/// which is why the old hardcoded one made every ACT test fail off Linux.
+///
+/// The directory is created if it does not exist, so a caller pointing `ACT_PATH` at a fresh
+/// path does not have to make it first.
+pub fn act_path() -> &'static str {
+    static PATH: std::sync::OnceLock<String> = std::sync::OnceLock::new();
+    PATH.get_or_init(|| {
+        let mut p = std::env::var("ACT_PATH")
+            .ok()
+            .filter(|s| !s.is_empty())
+            .unwrap_or_else(default_act_dir);
+        if !p.ends_with('/') && !p.ends_with(std::path::MAIN_SEPARATOR) {
+            p.push(std::path::MAIN_SEPARATOR);
+        }
+        if let Err(e) = std::fs::create_dir_all(&p) {
+            warn!(target: "act", "ACT_PATH {p} is not usable: {e}");
+        }
+        p
+    })
+}
+
+fn default_act_dir() -> String {
+    #[cfg(target_os = "linux")]
+    {
+        // A tmpfs when it is mounted, which is the point: an ACT stays in memory.
+        if std::path::Path::new("/dev/shm").is_dir() {
+            return "/dev/shm".to_string();
+        }
+    }
+    // `temp_dir` reads TMPDIR on macOS and TEMP/TMP on Windows, and falls back to /tmp on unix.
+    std::env::temp_dir().to_string_lossy().into_owned()
+}
 
 /// The pattern's distinct variables as a synthetic expression of `n` `NewVar`s. Only the debug
 /// cross-check of [`mork_expr::pattern_cycles_and_intros`] applies it now; the live path needs no
@@ -1292,7 +1328,7 @@ impl Space {
             ResourceRequest::ACT(name) => {
                 let act = mmaps.as_mut().unwrap().entry(OwnedSourceItem::from(name)).or_insert_with(|| {
                     trace!(target: "query_multi_i", "open new ACT {}", name);
-                    ArenaCompactTree::open_mmap(format!("{ACT_PATH}{name}.act")).unwrap()
+                    ArenaCompactTree::open_mmap(format!("{}{name}.act", act_path())).unwrap()
                 });
                 trace!(target: "query_multi_i", "taking RZ of {}", name);
                 Resource::ACT(act.read_zipper())

From c6b8947536dc50d06d101827442c9be365b2c998 Mon Sep 17 00:00:00 2001
From: adamv-symbolica <adam.vandervorst@symbolica.ai>
Date: Thu, 20 Aug 2026 13:48:11 +0100
Subject: [PATCH 8/9] Update sink_hash_expr to the hash gxhash actually
 produces

The expectation predated #146, which made the hasher compile: the
constants came from whatever was silently used while the `gxhash` cfg
never matched. With gxhash 3.x running, `(myexpr ..)` hashes to
-Egab4rQ3Nc and ru8oOBGFlq0.

Portable, contrary to what I said last round: gxhash documents its
hashes as stable across every supported platform for a given major
version, so this is not pinned to this machine's ISA. It is pinned to
gxhash 3.x, and a major bump will move it again.

With this, `mork test` passes end to end on both engines -- and the
same constant makes main pass too, which is how I know the value is the
hasher's and not this branch's.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
---
 kernel/src/main.rs | 5 ++++-
 1 file changed, 4 insertions(+), 1 deletion(-)

diff --git a/kernel/src/main.rs b/kernel/src/main.rs
index bd77ee09..4f6a0b1a 100644
--- a/kernel/src/main.rs
+++ b/kernel/src/main.rs
@@ -1398,7 +1398,10 @@ fn sink_hash_expr() {
     let res = String::from_utf8_lossy_owned(v);
 
     println!("result: {res}");
-    assert_eq!(res, "(result XoicVnQv2bk)\n(result tspt4QCdRB8)\n");
+    // gxhash 3.x, which #146 made actually compile -- the previous constants came from the
+    // hasher that was silently used while the `gxhash` cfg never matched. Stable across
+    // platforms for a given major version, per gxhash's own guarantee.
+    assert_eq!(res, "(result -Egab4rQ3Nc)\n(result ru8oOBGFlq0)\n");
 }
 
 fn sink_even_half() {

From 590b08caf0d071b6668367127b07530135055042 Mon Sep 17 00:00:00 2001
From: adamv-symbolica <adam.vandervorst@symbolica.ai>
Date: Thu, 20 Aug 2026 15:39:07 +0100
Subject: [PATCH 9/9] Audit data-side aliasing against the cut, and pin it

The query-side rule -- mentioned once, unread, trailing -- says nothing
about the DATA sharing a variable across the columns it names. Facts
like (f $x A $x) tie the don't-care column to the column a template
reads, so the audit asked whether $a still iterates over A and B under
(, (f $a $a $_)). It does, on both engines, and the reason is
structural rather than lucky: the discriminating information lives in
the REPEATED column, which is a trie prefix of the don't-care column,
so it is enumerated before the cut ever applies.

More generally a bare fresh singleton is an unconstrained position: the
binding it takes is read by nothing and constrains nothing else, so the
choice cannot propagate. What could still discriminate is a later query
position drawing from the subtrie the choice selected, and that is
precisely what the trailing condition excludes.

Eight aliasing shapes are pinned, expected generated from a NO-CUT
build so the cut is measured against the semantics it must preserve --
including the middle-position case, which must not be cut at all.

Non-vacuous, checked by the unifications counter: over 400 facts
sharing an aliased prefix and differing at the don't-care column, the
cut takes 400 unifications to 1 with the same single answer; over 400
facts differing at the REPEATED column it takes 400 to 400, collapsing
nothing, which is the audited case at scale.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
---
 .../programs/projection_cut_aliased.mm2       | 53 +++++++++++++++++++
 .../programs/projection_cut_aliased.expected  | 28 ++++++++++
 2 files changed, 81 insertions(+)
 create mode 100644 differential/corpus/programs/projection_cut_aliased.mm2
 create mode 100644 differential/expected/programs/projection_cut_aliased.expected

diff --git a/differential/corpus/programs/projection_cut_aliased.mm2 b/differential/corpus/programs/projection_cut_aliased.mm2
new file mode 100644
index 00000000..4f041ac6
--- /dev/null
+++ b/differential/corpus/programs/projection_cut_aliased.mm2
@@ -0,0 +1,53 @@
+;; @expect
+;; @steps  30
+;; @desc   Data-side aliasing: facts whose own variable ties the don't-care column to a column a
+;; @desc   template reads. The query-side rule (mentioned once, unread, trailing) says nothing
+;; @desc   about the DATA sharing a variable across those columns, so each shape is pinned here.
+;; @desc
+;; @desc   Why it is sound: a bare fresh singleton is an unconstrained position, so whichever
+;; @desc   stored subterm it meets, the binding is read by nothing and constrains nothing else.
+;; @desc   What could still discriminate is a LATER query position drawing from the subtrie the
+;; @desc   choice selected -- and the trailing condition is exactly what excludes that. The
+;; @desc   discriminating information in these shapes lives in the repeated column, which is a
+;; @desc   trie PREFIX of the don't-care column, so it is enumerated before the cut applies.
+
+;; 1. the tail aliases the first column; the facts differ at the REPEATED column, so `$a` must
+;;    still iterate over both A and B
+(f1 $x A $x)
+(f1 $x B $x)
+(exec (0 1) (, (f1 $a $a $_)) (, (o1 $a)))
+
+;; 2. the facts differ at the DON'T-CARE column instead, and `$a` stays free
+(f2 $x $x A)
+(f2 $x $x B)
+(exec (0 2) (, (f2 $a $a $_)) (, (o2 $a)))
+
+;; 3. the don't-care column mixes a back-reference with a ground term
+(f3 $x $x $x)
+(f3 $x $x A)
+(exec (0 3) (, (f3 $a $a $_)) (, (o3 $a)))
+
+;; 4. the read variable is pinned by the FIRST column, with an alias in the tail
+(f4 A $x $x)
+(f4 B $x $x)
+(exec (0 4) (, (f4 $a $a $_)) (, (o4 $a)))
+
+;; 5. two trailing don't-cares, both aliased to the read variable
+(f5 $x A $x $x)
+(f5 $x B $x $x)
+(exec (0 5) (, (f5 $a $a $_ $_2)) (, (o5 $a)))
+
+;; 6. the don't-care sits in the MIDDLE, so it is not cuttable at all
+(f6 $x A $x)
+(f6 $x B $x)
+(exec (0 6) (, (f6 $c $_ $c)) (, (o6 $c)))
+
+;; 7. the don't-care's subterm carries structure over the shared variable
+(f7 $x $x (g $x))
+(f7 $x $x (h $x))
+(exec (0 7) (, (f7 $a $a $_)) (, (o7 $a)))
+
+;; 8. a read variable pinned only via the repeated column, with the tail aliasing it
+(f8 $x $x A $x)
+(f8 $x $x B $x)
+(exec (0 8) (, (f8 $a $a $b $_)) (, (o8 $a $b)))
diff --git a/differential/expected/programs/projection_cut_aliased.expected b/differential/expected/programs/projection_cut_aliased.expected
new file mode 100644
index 00000000..eefc83ea
--- /dev/null
+++ b/differential/expected/programs/projection_cut_aliased.expected
@@ -0,0 +1,28 @@
+(o1 A)
+(o1 B)
+(o2 $a)
+(o3 $a)
+(o4 A)
+(o4 B)
+(o5 A)
+(o5 B)
+(o6 $a)
+(o7 $a)
+(o8 $a A)
+(o8 $a B)
+(f1 $a A $a)
+(f1 $a B $a)
+(f2 $a $a A)
+(f2 $a $a B)
+(f3 $a $a $a)
+(f3 $a $a A)
+(f4 A $a $a)
+(f4 B $a $a)
+(f6 $a A $a)
+(f6 $a B $a)
+(f7 $a $a (g $a))
+(f7 $a $a (h $a))
+(f5 $a A $a $a)
+(f5 $a B $a $a)
+(f8 $a $a A $a)
+(f8 $a $a B $a)