diff --git a/drivers/c.drv b/drivers/c.drv index c4faebeb923c6d6cb6b252c8ecd653a12dd02910..42599d0e7831bdd61e8811bd63a09a95a6d796d5 100644 --- a/drivers/c.drv +++ b/drivers/c.drv @@ -553,8 +553,8 @@ end module mach.c.C - prelude "#define IGNORE2(x,y) do {} while (0)" - interface "#define IGNORE2(x,y) do {} while (0)" + prelude "#define IGNORE2(x,y) do { (void)(x); (void)(y); } while (0)" + interface "#define IGNORE2(x,y) do { (void)(x); (void)(y); } while (0)" syntax type ptr "%1 *" syntax type bool "int" (* ? *) @@ -563,6 +563,9 @@ module mach.c.C syntax val free "free(%1)" syntax val realloc "realloc(%1, (%2) * sizeof(%v0))" + syntax val salloc "alloca((%1) * sizeof(%v0))" + syntax val sfree "(void)(%1)" + (* syntax val is_null "(%1) == NULL" *) syntax val is_not_null "(%1) != NULL" syntax val null "NULL" diff --git a/examples/multiprecision/Makefile b/examples/multiprecision/Makefile index 43a3d57ce167ac9650d4ed48cf0fbc86dbac4f8f..2dc1a0cea68ae18ff219c2bc5544db279e548f7c 100644 --- a/examples/multiprecision/Makefile +++ b/examples/multiprecision/Makefile @@ -35,7 +35,7 @@ tests: extract check-gmp ./build/minitests bench-tests: extract - gcc -O2 -Wall -g -std=c11 tests.c $(CFILES) -Ibench-include -Irandom -fomit-frame-pointer -fno-tree-vectorize -lgmp -o build/bench-tests + gcc -O2 -Wall -Wno-unused-function -g -std=c11 tests.c $(CFILES) -Ibench-include -Irandom -fomit-frame-pointer -fno-tree-vectorize -lgmp -o build/bench-tests build/why3%bench: extract check-gmp diff --git a/examples/multiprecision/add/why3shapes.gz b/examples/multiprecision/add/why3shapes.gz index d167f42c4bc7870bbe9030c717be3642fd04d2f8..dba5bbab19bc73b188136c72b06a5039aa5f254d 100644 Binary files a/examples/multiprecision/add/why3shapes.gz and b/examples/multiprecision/add/why3shapes.gz differ diff --git a/examples/multiprecision/compare/why3shapes.gz b/examples/multiprecision/compare/why3shapes.gz index 183d216301b1db7664bbcf9cb6abbfb50d08a726..5b1e8fe46d1e6864980e3e62a3dfd328832421e8 100644 Binary files a/examples/multiprecision/compare/why3shapes.gz and b/examples/multiprecision/compare/why3shapes.gz differ diff --git a/examples/multiprecision/div/why3shapes.gz b/examples/multiprecision/div/why3shapes.gz index 1f3468abc07a16913b1ea7e0cfa4e1a39031062c..b017c4972baa50d10ae6598afcea8fb44110ccb6 100644 Binary files a/examples/multiprecision/div/why3shapes.gz and b/examples/multiprecision/div/why3shapes.gz differ diff --git a/examples/multiprecision/lemmas.mlw b/examples/multiprecision/lemmas.mlw index 128b767a303c2adb6b6c0285f74d6800b0151296..320dfc879086f7440998872f307eccb661dea867 100644 --- a/examples/multiprecision/lemmas.mlw +++ b/examples/multiprecision/lemmas.mlw @@ -55,12 +55,21 @@ module Lemmas requires { 0 < c } ensures { c * a < c * b } = () + let lemma prod_compat_r (a b c:int) requires { 0 <= a <= b } requires { 0 <= c } ensures { c * a <= c * b } = () + let lemma prod_compat_strict_lr (a b c d:int) + requires { 0 <= a < b } + requires { 0 <= c < d } + ensures { a * c < b * d } + = () (* assert { a * c < a * d = d * a < d * b = b * d } *) + + meta remove_prop axiom prod_compat_strict_lr + (** {3 Integer value of a natural number} *) (** `value_sub x n m` denotes the integer represented by @@ -204,4 +213,14 @@ module Lemmas = value_sub_concat (pelts x) x.offset (x.offset + p2i n) (x.offset + p2i m) + + let lemma value_sub_eq (x1 x2: map int limb) (n1 n2 m1 m2: int) + requires { x1 = x2 } + requires { n1 = n2 } + requires { m1 = m2 } + ensures { value_sub x1 n1 m1 = value_sub x2 n2 m2 } + = () + + meta remove_prop axiom value_sub_eq + end diff --git a/examples/multiprecision/lemmas/why3session.xml b/examples/multiprecision/lemmas/why3session.xml index 7f83fba0d40585a176aff9568dcfae28994e8311..388a9d8e92e9233e760a299adbf9167bd2b63318 100644 --- a/examples/multiprecision/lemmas/why3session.xml +++ b/examples/multiprecision/lemmas/why3session.xml @@ -7,8 +7,8 @@ <prover id="2" name="CVC4" version="1.5" timelimit="5" steplimit="0" memlimit="1000"/> <prover id="3" name="Z3" version="4.5.0" timelimit="5" steplimit="0" memlimit="1000"/> <prover id="5" name="Alt-Ergo" version="2.0.0" timelimit="5" steplimit="0" memlimit="1000"/> -<file name="../lemmas.mlw" proved="true"> -<theory name="Lemmas" proved="true"> +<file name="../lemmas.mlw"> +<theory name="Lemmas"> <goal name="VC map_eq_shift" expl="VC for map_eq_shift" proved="true"> <transf name="split_goal_right" proved="true" > <goal name="VC map_eq_shift.0" expl="postcondition" proved="true"> @@ -56,6 +56,9 @@ <goal name="VC prod_compat_r" expl="VC for prod_compat_r" proved="true"> <proof prover="5" memlimit="2000"><result status="valid" time="0.02" steps="10"/></proof> </goal> + <goal name="VC prod_compat_strict_lr" expl="VC for prod_compat_strict_lr" proved="true"> + <proof prover="2" timelimit="1"><result status="valid" time="0.04"/></proof> + </goal> <goal name="VC value_sub" expl="VC for value_sub" proved="true"> <transf name="split_goal_right" proved="true" > <goal name="VC value_sub.0" expl="variant decrease" proved="true"> @@ -265,6 +268,8 @@ <goal name="VC value_concat" expl="VC for value_concat" proved="true"> <proof prover="5" timelimit="1"><result status="valid" time="0.04" steps="26"/></proof> </goal> + <goal name="VC value_sub_eq" expl="VC for value_sub_eq"> + </goal> </theory> </file> </why3session> diff --git a/examples/multiprecision/lemmas/why3shapes.gz b/examples/multiprecision/lemmas/why3shapes.gz index 606ccd30f409cff24c41b442f5eda2b89d52168b..4f0951c1e5912716f26e450ad6ddd34774e60999 100644 Binary files a/examples/multiprecision/lemmas/why3shapes.gz and b/examples/multiprecision/lemmas/why3shapes.gz differ diff --git a/examples/multiprecision/logical/why3shapes.gz b/examples/multiprecision/logical/why3shapes.gz index ef3141eb84b0ed6e6f2e6fe7e18481ba0b22fd33..7a3e57e282799c731f0d413c4101f37f2c73730d 100644 Binary files a/examples/multiprecision/logical/why3shapes.gz and b/examples/multiprecision/logical/why3shapes.gz differ diff --git a/examples/multiprecision/mul.mlw b/examples/multiprecision/mul.mlw index 0ddf120a491024d4bd6ab08315ffb4895717ec07..7750693ad05305a42ede3d72b9c4716b4153ced5 100644 --- a/examples/multiprecision/mul.mlw +++ b/examples/multiprecision/mul.mlw @@ -312,10 +312,10 @@ module Mul done; !c - (** `wmpn_mul r x y sx sy` multiplies `(x, sx)` and `(y,sy)` and writes + (** `wmpn_mul_basecase r x y sx sy` multiplies `(x, sx)` and `(y,sy)` and writes the result in `(r, sx+sy)`. `sx` must be greater than or equal to `sy`. Corresponds to `mpn_mul`. *) - let wmpn_mul (r x y:t) (sx sy:int32) : unit + let wmpn_mul_basecase (r x y:t) (sx sy:int32) : unit requires { 0 < sy <= sx } requires { valid x sx } requires { valid y sy } diff --git a/examples/multiprecision/mul/why3session.xml b/examples/multiprecision/mul/why3session.xml index d9aa44d569b19327f0aca29ebb6ae797a0b7e8ae..6e65875a7bcd15d32c062b14436efec3aac5a333 100644 --- a/examples/multiprecision/mul/why3session.xml +++ b/examples/multiprecision/mul/why3session.xml @@ -886,542 +886,542 @@ </goal> </transf> </goal> - <goal name="VC wmpn_mul" expl="VC for wmpn_mul" proved="true"> + <goal name="VC wmpn_mul_basecase" expl="VC for wmpn_mul_basecase" proved="true"> <transf name="split_goal_right" proved="true" > - <goal name="VC wmpn_mul.0" expl="precondition" proved="true"> + <goal name="VC wmpn_mul_basecase.0" expl="precondition" proved="true"> <transf name="split_goal_right" proved="true" > - <goal name="VC wmpn_mul.0.0" expl="VC for wmpn_mul" proved="true"> + <goal name="VC wmpn_mul_basecase.0.0" expl="VC for wmpn_mul_basecase" proved="true"> <proof prover="5" timelimit="1"><result status="valid" time="0.04" steps="12"/></proof> </goal> - <goal name="VC wmpn_mul.0.1" expl="VC for wmpn_mul" proved="true"> + <goal name="VC wmpn_mul_basecase.0.1" expl="VC for wmpn_mul_basecase" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> </transf> </goal> - <goal name="VC wmpn_mul.1" expl="precondition" proved="true"> + <goal name="VC wmpn_mul_basecase.1" expl="precondition" proved="true"> <proof prover="5" memlimit="2000"><result status="valid" time="0.01" steps="11"/></proof> </goal> - <goal name="VC wmpn_mul.2" expl="precondition" proved="true"> + <goal name="VC wmpn_mul_basecase.2" expl="precondition" proved="true"> <proof prover="5" memlimit="2000"><result status="valid" time="0.02" steps="30"/></proof> </goal> - <goal name="VC wmpn_mul.3" expl="precondition" proved="true"> + <goal name="VC wmpn_mul_basecase.3" expl="precondition" proved="true"> <proof prover="5" memlimit="2000"><result status="valid" time="0.01" steps="17"/></proof> </goal> - <goal name="VC wmpn_mul.4" expl="precondition" proved="true"> + <goal name="VC wmpn_mul_basecase.4" expl="precondition" proved="true"> <proof prover="5" memlimit="2000"><result status="valid" time="0.04" steps="18"/></proof> </goal> - <goal name="VC wmpn_mul.5" expl="precondition" proved="true"> + <goal name="VC wmpn_mul_basecase.5" expl="precondition" proved="true"> <proof prover="5" timelimit="1"><result status="valid" time="0.03" steps="36"/></proof> </goal> - <goal name="VC wmpn_mul.6" expl="precondition" proved="true"> + <goal name="VC wmpn_mul_basecase.6" expl="precondition" proved="true"> <proof prover="5" memlimit="2000"><result status="valid" time="0.04" steps="25"/></proof> </goal> - <goal name="VC wmpn_mul.7" expl="assertion" proved="true"> + <goal name="VC wmpn_mul_basecase.7" expl="assertion" proved="true"> <transf name="split_goal_right" proved="true" > - <goal name="VC wmpn_mul.7.0" expl="VC for wmpn_mul" proved="true"> + <goal name="VC wmpn_mul_basecase.7.0" expl="VC for wmpn_mul_basecase" proved="true"> <proof prover="0"><result status="valid" time="0.69"/></proof> </goal> - <goal name="VC wmpn_mul.7.1" expl="VC for wmpn_mul" proved="true"> + <goal name="VC wmpn_mul_basecase.7.1" expl="VC for wmpn_mul_basecase" proved="true"> <proof prover="0"><result status="valid" time="0.44"/></proof> </goal> - <goal name="VC wmpn_mul.7.2" expl="VC for wmpn_mul" proved="true"> + <goal name="VC wmpn_mul_basecase.7.2" expl="VC for wmpn_mul_basecase" proved="true"> <proof prover="5" timelimit="1"><result status="valid" time="0.03" steps="72"/></proof> </goal> </transf> </goal> - <goal name="VC wmpn_mul.8" expl="integer overflow" proved="true"> + <goal name="VC wmpn_mul_basecase.8" expl="integer overflow" proved="true"> <proof prover="5" memlimit="2000"><result status="valid" time="0.04" steps="46"/></proof> </goal> - <goal name="VC wmpn_mul.9" expl="integer overflow" proved="true"> + <goal name="VC wmpn_mul_basecase.9" expl="integer overflow" proved="true"> <proof prover="5" memlimit="2000"><result status="valid" time="0.03" steps="47"/></proof> </goal> - <goal name="VC wmpn_mul.10" expl="precondition" proved="true"> + <goal name="VC wmpn_mul_basecase.10" expl="precondition" proved="true"> <proof prover="5" memlimit="2000"><result status="valid" time="0.03" steps="47"/></proof> </goal> - <goal name="VC wmpn_mul.11" expl="integer overflow" proved="true"> + <goal name="VC wmpn_mul_basecase.11" expl="integer overflow" proved="true"> <proof prover="5" memlimit="2000"><result status="valid" time="0.07" steps="55"/></proof> </goal> - <goal name="VC wmpn_mul.12" expl="loop invariant init" proved="true"> + <goal name="VC wmpn_mul_basecase.12" expl="loop invariant init" proved="true"> <proof prover="5" memlimit="2000"><result status="valid" time="0.04" steps="37"/></proof> </goal> - <goal name="VC wmpn_mul.13" expl="loop invariant init" proved="true"> + <goal name="VC wmpn_mul_basecase.13" expl="loop invariant init" proved="true"> <proof prover="5" memlimit="2000"><result status="valid" time="0.04" steps="39"/></proof> </goal> - <goal name="VC wmpn_mul.14" expl="loop invariant init" proved="true"> + <goal name="VC wmpn_mul_basecase.14" expl="loop invariant init" proved="true"> <proof prover="5" memlimit="2000"><result status="valid" time="0.09" steps="40"/></proof> </goal> - <goal name="VC wmpn_mul.15" expl="loop invariant init" proved="true"> + <goal name="VC wmpn_mul_basecase.15" expl="loop invariant init" proved="true"> <transf name="split_goal_right" proved="true" > - <goal name="VC wmpn_mul.15.0" expl="loop invariant init" proved="true"> + <goal name="VC wmpn_mul_basecase.15.0" expl="loop invariant init" proved="true"> <proof prover="5" memlimit="2000"><result status="valid" time="0.04" steps="41"/></proof> </goal> </transf> </goal> - <goal name="VC wmpn_mul.16" expl="loop invariant init" proved="true"> + <goal name="VC wmpn_mul_basecase.16" expl="loop invariant init" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.17" expl="loop invariant init" proved="true"> + <goal name="VC wmpn_mul_basecase.17" expl="loop invariant init" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.18" expl="loop invariant init" proved="true"> + <goal name="VC wmpn_mul_basecase.18" expl="loop invariant init" proved="true"> <proof prover="5" memlimit="2000"><result status="valid" time="0.03" steps="41"/></proof> </goal> - <goal name="VC wmpn_mul.19" expl="loop invariant init" proved="true"> + <goal name="VC wmpn_mul_basecase.19" expl="loop invariant init" proved="true"> <proof prover="5" timelimit="1"><result status="valid" time="0.06" steps="86"/></proof> </goal> - <goal name="VC wmpn_mul.20" expl="integer overflow" proved="true"> + <goal name="VC wmpn_mul_basecase.20" expl="integer overflow" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC wmpn_mul.21" expl="precondition" proved="true"> + <goal name="VC wmpn_mul_basecase.21" expl="precondition" proved="true"> <proof prover="5" memlimit="2000"><result status="valid" time="0.04" steps="52"/></proof> </goal> - <goal name="VC wmpn_mul.22" expl="assertion" proved="true"> + <goal name="VC wmpn_mul_basecase.22" expl="assertion" proved="true"> <proof prover="5" timelimit="1"><result status="valid" time="0.03" steps="90"/></proof> </goal> - <goal name="VC wmpn_mul.23" expl="precondition" proved="true"> + <goal name="VC wmpn_mul_basecase.23" expl="precondition" proved="true"> <proof prover="5" memlimit="2000"><result status="valid" time="0.04" steps="72"/></proof> </goal> - <goal name="VC wmpn_mul.24" expl="precondition" proved="true"> + <goal name="VC wmpn_mul_basecase.24" expl="precondition" proved="true"> <proof prover="5" memlimit="2000"><result status="valid" time="0.04" steps="55"/></proof> </goal> - <goal name="VC wmpn_mul.25" expl="precondition" proved="true"> + <goal name="VC wmpn_mul_basecase.25" expl="precondition" proved="true"> <proof prover="5" memlimit="2000"><result status="valid" time="0.14" steps="108"/></proof> </goal> - <goal name="VC wmpn_mul.26" expl="assertion" proved="true"> + <goal name="VC wmpn_mul_basecase.26" expl="assertion" proved="true"> <proof prover="5" memlimit="2000"><result status="valid" time="0.14" steps="67"/></proof> </goal> - <goal name="VC wmpn_mul.27" expl="assertion" proved="true"> + <goal name="VC wmpn_mul_basecase.27" expl="assertion" proved="true"> <proof prover="5" memlimit="2000"><result status="valid" time="0.54" steps="137"/></proof> </goal> - <goal name="VC wmpn_mul.28" expl="precondition" proved="true"> + <goal name="VC wmpn_mul_basecase.28" expl="precondition" proved="true"> <proof prover="0"><result status="valid" time="0.60"/></proof> </goal> - <goal name="VC wmpn_mul.29" expl="precondition" proved="true"> + <goal name="VC wmpn_mul_basecase.29" expl="precondition" proved="true"> <transf name="split_goal_right" proved="true" > - <goal name="VC wmpn_mul.29.0" expl="precondition" proved="true"> + <goal name="VC wmpn_mul_basecase.29.0" expl="precondition" proved="true"> <proof prover="5" memlimit="2000"><result status="valid" time="0.13" steps="69"/></proof> </goal> </transf> </goal> - <goal name="VC wmpn_mul.30" expl="precondition" proved="true"> + <goal name="VC wmpn_mul_basecase.30" expl="precondition" proved="true"> <transf name="split_goal_right" proved="true" > - <goal name="VC wmpn_mul.30.0" expl="VC for wmpn_mul" proved="true"> + <goal name="VC wmpn_mul_basecase.30.0" expl="VC for wmpn_mul_basecase" proved="true"> <proof prover="2"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC wmpn_mul.30.1" expl="VC for wmpn_mul" proved="true"> + <goal name="VC wmpn_mul_basecase.30.1" expl="VC for wmpn_mul_basecase" proved="true"> <proof prover="3" memlimit="2000"><result status="valid" time="0.01"/></proof> </goal> </transf> </goal> - <goal name="VC wmpn_mul.31" expl="assertion" proved="true"> + <goal name="VC wmpn_mul_basecase.31" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.39"/></proof> </goal> - <goal name="VC wmpn_mul.32" expl="assertion" proved="true"> + <goal name="VC wmpn_mul_basecase.32" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.14"/></proof> </goal> - <goal name="VC wmpn_mul.33" expl="integer overflow" proved="true"> + <goal name="VC wmpn_mul_basecase.33" expl="integer overflow" proved="true"> <proof prover="3"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC wmpn_mul.34" expl="precondition" proved="true"> + <goal name="VC wmpn_mul_basecase.34" expl="precondition" proved="true"> <proof prover="5" memlimit="2000"><result status="valid" time="0.14" steps="86"/></proof> </goal> - <goal name="VC wmpn_mul.35" expl="precondition" proved="true"> + <goal name="VC wmpn_mul_basecase.35" expl="precondition" proved="true"> <proof prover="5" memlimit="2000"><result status="valid" time="0.22" steps="87"/></proof> </goal> - <goal name="VC wmpn_mul.36" expl="integer overflow" proved="true"> + <goal name="VC wmpn_mul_basecase.36" expl="integer overflow" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC wmpn_mul.37" expl="precondition" proved="true"> + <goal name="VC wmpn_mul_basecase.37" expl="precondition" proved="true"> <proof prover="0"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC wmpn_mul.38" expl="assertion" proved="true"> + <goal name="VC wmpn_mul_basecase.38" expl="assertion" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC wmpn_mul.38.0" expl="assertion" proved="true"> + <goal name="VC wmpn_mul_basecase.38.0" expl="assertion" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC wmpn_mul.38.0.0" expl="assertion" proved="true"> + <goal name="VC wmpn_mul_basecase.38.0.0" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC wmpn_mul.39" expl="assertion" proved="true"> + <goal name="VC wmpn_mul_basecase.39" expl="assertion" proved="true"> <proof prover="5" timelimit="10" memlimit="2000"><result status="valid" time="3.14" steps="134"/></proof> </goal> - <goal name="VC wmpn_mul.40" expl="assertion" proved="true"> + <goal name="VC wmpn_mul_basecase.40" expl="assertion" proved="true"> <proof prover="5" memlimit="2000"><result status="valid" time="2.24" steps="92"/></proof> </goal> - <goal name="VC wmpn_mul.41" expl="assertion" proved="true"> + <goal name="VC wmpn_mul_basecase.41" expl="assertion" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC wmpn_mul.41.0" expl="assertion" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0" expl="assertion" proved="true"> <transf name="rewrite" proved="true" arg1="H4" arg2="in" arg3="H3"> - <goal name="VC wmpn_mul.41.0.0" expl="assertion" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0" expl="assertion" proved="true"> <transf name="rewrite" proved="true" arg1="H7" arg2="in" arg3="H6"> - <goal name="VC wmpn_mul.41.0.0.0" expl="assertion" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0" expl="assertion" proved="true"> <transf name="rewrite" proved="true" arg1="H54" arg2="in" arg3="H53"> - <goal name="VC wmpn_mul.41.0.0.0.0" expl="assertion" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0" expl="assertion" proved="true"> <transf name="use_th" proved="true" arg1="lineardecision.LinearDecisionIntMP"> - <goal name="VC wmpn_mul.41.0.0.0.0.0" expl="assertion" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0" expl="assertion" proved="true"> <transf name="reflection_f" proved="true" arg1="mp_decision"> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0" expl="assertion" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0" expl="assertion" proved="true"> <transf name="apply" proved="true" arg1="HR"> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.0" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.0" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.1" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.1" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.2" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.2" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.3" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.3" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - 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proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.84" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.84" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.85" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.85" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.86" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.86" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.87" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.87" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.88" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.88" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.89" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.89" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.90" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.90" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.91" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.91" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.92" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.92" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.93" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.93" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.94" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.94" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.95" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.95" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.96" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.96" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.97" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.97" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.98" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.98" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.99" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.99" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.100" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.100" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.101" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.101" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.102" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.102" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.103" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.103" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.104" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.104" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.105" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.105" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.106" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.106" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.107" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.107" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.108" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.108" proved="true"> <proof prover="2" timelimit="1"><result status="valid" time="0.16"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.109" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.109" proved="true"> <proof prover="2" timelimit="1"><result status="valid" time="0.15"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.110" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.110" proved="true"> <proof prover="2" timelimit="1"><result status="valid" time="0.18"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.111" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.111" proved="true"> <proof prover="2" timelimit="1"><result status="valid" time="0.13"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.112" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.112" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.113" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.113" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.114" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.114" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.115" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.115" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.116" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.116" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.0.117" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.0.117" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> </transf> </goal> - <goal name="VC wmpn_mul.41.0.0.0.0.0.1" proved="true"> + <goal name="VC wmpn_mul_basecase.41.0.0.0.0.0.1" proved="true"> <proof prover="2"><result status="valid" time="0.24"/></proof> </goal> </transf> @@ -1436,43 +1436,43 @@ </goal> </transf> </goal> - <goal name="VC wmpn_mul.42" expl="integer overflow" proved="true"> + <goal name="VC wmpn_mul_basecase.42" expl="integer overflow" proved="true"> <proof prover="3"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC wmpn_mul.43" expl="precondition" proved="true"> + <goal name="VC wmpn_mul_basecase.43" expl="precondition" proved="true"> <proof prover="2"><result status="valid" time="0.16"/></proof> </goal> - <goal name="VC wmpn_mul.44" expl="loop variant decrease" proved="true"> + <goal name="VC wmpn_mul_basecase.44" expl="loop variant decrease" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC wmpn_mul.45" expl="loop invariant preservation" proved="true"> + <goal name="VC wmpn_mul_basecase.45" expl="loop invariant preservation" proved="true"> <proof prover="3"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC wmpn_mul.46" expl="loop invariant preservation" proved="true"> + <goal name="VC wmpn_mul_basecase.46" expl="loop invariant preservation" proved="true"> <proof prover="0"><result status="valid" time="2.80"/></proof> </goal> - <goal name="VC wmpn_mul.47" expl="loop invariant preservation" proved="true"> + <goal name="VC wmpn_mul_basecase.47" expl="loop invariant preservation" proved="true"> <proof prover="2"><result status="valid" time="0.19"/></proof> </goal> - <goal name="VC wmpn_mul.48" expl="loop invariant preservation" proved="true"> + <goal name="VC wmpn_mul_basecase.48" expl="loop invariant preservation" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC wmpn_mul.49" expl="loop invariant preservation" proved="true"> + <goal name="VC wmpn_mul_basecase.49" expl="loop invariant preservation" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC wmpn_mul.50" expl="loop invariant preservation" proved="true"> + <goal name="VC wmpn_mul_basecase.50" expl="loop invariant preservation" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC wmpn_mul.51" expl="loop invariant preservation" proved="true"> + <goal name="VC wmpn_mul_basecase.51" expl="loop invariant preservation" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC wmpn_mul.52" expl="loop invariant preservation" proved="true"> + <goal name="VC wmpn_mul_basecase.52" expl="loop invariant preservation" proved="true"> <proof prover="2"><result status="valid" time="0.46"/></proof> </goal> - <goal name="VC wmpn_mul.53" expl="postcondition" proved="true"> + <goal name="VC wmpn_mul_basecase.53" expl="postcondition" proved="true"> <proof prover="5" memlimit="2000"><result status="valid" time="0.04" steps="51"/></proof> </goal> - <goal name="VC wmpn_mul.54" expl="postcondition" proved="true"> + <goal name="VC wmpn_mul_basecase.54" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> </transf> diff --git a/examples/multiprecision/mul/why3shapes.gz b/examples/multiprecision/mul/why3shapes.gz index 52fbf6295f5efd60fc6e017b5bfcb73169da5e79..18b96f6e1372c1e2b5e35f72ea950c7ef24c2e08 100644 Binary files a/examples/multiprecision/mul/why3shapes.gz and b/examples/multiprecision/mul/why3shapes.gz differ diff --git a/examples/multiprecision/sub/why3shapes.gz b/examples/multiprecision/sub/why3shapes.gz index bc8af0349f7c37695e97c8615559522ca74f419a..274ca9550031701e778871244b47a37349ad59bd 100644 Binary files a/examples/multiprecision/sub/why3shapes.gz and b/examples/multiprecision/sub/why3shapes.gz differ diff --git a/examples/multiprecision/tests.c b/examples/multiprecision/tests.c index c72e4675a70cc49e064377ee54654a31695242fe..32814a9e203197b5917a647c51b10d825ca8f4f2 100644 --- a/examples/multiprecision/tests.c +++ b/examples/multiprecision/tests.c @@ -72,7 +72,7 @@ int main () { /* Re-interpret reps argument as a size argument. */ init_genrand64((unsigned long long)time(NULL)); - max_n = 200; + max_n = 1000; max_add = 50; max_mul = 20; max_toom = 95; @@ -215,8 +215,9 @@ int main () { for (bn = 35; bn <= max_toom; bn += 2) { - mp_ptr ws = TMP_ALLOC_LIMBS(9 * bn / 2 + 32); - an = (bn * 3) / 2; + //mp_ptr ws = TMP_ALLOC_LIMBS(9 * bn / 2 + 32); + //an = (bn * 3) / 2; + an = bn * 6; init_valid (ap, bp, an, bn); #ifdef BENCH elapsed = 0; @@ -230,7 +231,7 @@ int main () { mpn_mul (refp, ap, an, bp, bn); #endif #ifdef TEST_WHY3 - toom32_mul (rp, ap, bp, ws, an, bn); + wmpn_mul (rp, ap, bp, an, bn); #endif #ifdef BENCH @@ -257,6 +258,7 @@ int main () { abort(); } #endif + //free(ws); } #ifdef COMPARE printf ("toom ok\n"); diff --git a/examples/multiprecision/toom.mlw b/examples/multiprecision/toom.mlw index ee68ca5c6c496e52fa35fd75b7354f6ad2cb041e..be5ef899e847d8ca6c099f0250872480c7da1ee4 100644 --- a/examples/multiprecision/toom.mlw +++ b/examples/multiprecision/toom.mlw @@ -19,7 +19,7 @@ module Toom use mul.Mul use logical.Logical -let constant toom22_threshold : int32 = 30 +let constant toom22_threshold : int32 = 29 let lemma no_borrow (x y r b m:int) requires { 0 <= y <= x } @@ -37,14 +37,14 @@ let lemma no_borrow_ptr (x y r: ptr limb) (nx ny:int) (b:limb) ensures { b = 0 } = no_borrow (value x nx) (value y ny) (value r nx) (l2i b) (power radix nx) -let rec toom22_mul (r x y scratch: ptr limb) (sx sy:int32) (ghost k: int) : unit +let rec wmpn_toom22_mul (r x y scratch: ptr limb) (sx sy:int32) (ghost k: int) : unit requires { valid x sx } requires { valid y sy } requires { valid r (sx + sy) } requires { toom22_threshold < sy } - requires { 0 < k } + requires { 0 < k <= 64 } requires { sx <= toom22_threshold * power 2 k } - requires { valid scratch (2 * (sx + k)) } + requires { valid scratch (2 * (sx + k)) } (*TODO faire en fonction de sy *) requires { 8 * sx < max_int32 } requires { 2 < sy <= sx < sy + sy - 1 } requires { 4 * sx < 5 * sy } @@ -59,6 +59,7 @@ let rec toom22_mul (r x y scratch: ptr limb) (sx sy:int32) (ghost k: int) : unit -> (pelts r)[j] = old (pelts r)[j] } ensures { forall j. min scratch <= j < offset scratch -> (pelts scratch)[j] = old (pelts scratch)[j] } + raises { StackOverflow -> true } variant { k + k } = let s = Int32.(/) sx 2 in (* TODO sx >> 1 *) @@ -194,7 +195,7 @@ let rec toom22_mul (r x y scratch: ptr limb) (sx sy:int32) (ghost k: int) : unit let ghost asm1_abs = value xsm1 (int32'int n) in let ghost bsm1_abs = value ysm1 (int32'int n) in label RecM1 in - toom22_mul_n_rec scratch xsm1 ysm1 s_out n (k-1); + wmpn_toom22_mul_n_rec scratch xsm1 ysm1 s_out n (k-1); assert { value scratch (n+n) = asm1_abs * bsm1_abs }; join r ysm1; assert { min scratch = offset scratch }; @@ -230,9 +231,9 @@ let rec toom22_mul (r x y scratch: ptr limb) (sx sy:int32) (ghost k: int) : unit valid_monotonous s n; valid_monotonous t n; (if Int32.(>) s t - then toom22_mul_rec vinf x1 y1 s_out s t (k-1) - else toom22_mul_n_rec vinf x1 y1 s_out s (k-1)); - toom22_mul_n_rec v0 x0 y0 s_out n (k-1); + then wmpn_toom22_mul_rec vinf x1 y1 s_out s t (k-1) + else wmpn_toom22_mul_n_rec vinf x1 y1 s_out s (k-1)); + wmpn_toom22_mul_n_rec v0 x0 y0 s_out n (k-1); end; label Adds in value_concat v0 n (Int32.(+) n n); @@ -775,16 +776,16 @@ let rec toom22_mul (r x y scratch: ptr limb) (sx sy:int32) (ghost k: int) : unit (* Choose which multiplication algorithm is called recursively. - Equivalent to the macros TOOM22_MUL_REC and TOOM22_MUL_N_REC - respectively, in toom22_mul.c *) -with toom22_mul_rec (r x y scratch: ptr limb) (sx sy: int32) (ghost k: int) + Equivalent to the macros WMPN_TOOM22_MUL_REC and WMPN_TOOM22_MUL_N_REC + respectively, in wmpn_toom22_mul.c *) +with wmpn_toom22_mul_rec (r x y scratch: ptr limb) (sx sy: int32) (ghost k: int) : unit requires { valid x sx } requires { valid y sy } requires { valid r (sx + sy) } requires { 0 < sy <= sx <= sy + sy } requires { 8 * sx < max_int32 } - requires { 0 <= k } + requires { 0 <= k <= 64 } requires { sx <= toom22_threshold * power 2 k } requires { valid scratch (2 * (sx + k)) } ensures { value r (sx + sy) = value x sx * value y sy } @@ -798,22 +799,23 @@ with toom22_mul_rec (r x y scratch: ptr limb) (sx sy: int32) (ghost k: int) ensures { min scratch = old min scratch } ensures { max scratch = old max scratch } ensures { plength scratch = old plength scratch } + raises { StackOverflow -> true } variant { k + k + 1 } = if Int32.(<=) sy toom22_threshold - then wmpn_mul r x y sx sy + then wmpn_mul_basecase r x y sx sy else if Int32.(<) (Int32.( *) 4 sx) (Int32.( *) 5 sy) (* ? *) - then toom22_mul r x y scratch sx sy k - else toom32_mul r x y scratch sx sy k + then wmpn_toom22_mul r x y scratch sx sy k + else wmpn_toom32_mul r x y scratch sx sy k -with toom22_mul_n_rec (r x y scratch: ptr limb) (sz:int32) (ghost k: int) : unit +with wmpn_toom22_mul_n_rec (r x y scratch: ptr limb) (sz:int32) (ghost k: int) : unit requires { valid x sz } requires { valid y sz } requires { valid r (sz + sz) } requires { 0 < sz } requires { 8 * sz < max_int32 } - requires { 0 <= k } + requires { 0 <= k <= 64 } requires { sz <= toom22_threshold * power 2 k } requires { valid scratch (2 * (sz + k)) } ensures { value r (sz + sz) = value x sz * value y sz } @@ -827,21 +829,22 @@ with toom22_mul_n_rec (r x y scratch: ptr limb) (sz:int32) (ghost k: int) : unit ensures { min scratch = old min scratch } ensures { max scratch = old max scratch } ensures { plength scratch = old plength scratch } + raises { StackOverflow -> true } variant { k + k + 1 } = if Int32.(<=) sz toom22_threshold - then wmpn_mul r x y sz sz - else toom22_mul r x y scratch sz sz k + then wmpn_mul_basecase r x y sz sz + else wmpn_toom22_mul r x y scratch sz sz k -with toom32_mul (r x y scratch: ptr limb) (sx sy:int32) (ghost k: int) : unit +with wmpn_toom32_mul (r x y scratch: ptr limb) (sx sy:int32) (ghost k: int) : unit requires { valid x sx } requires { valid y sy } requires { valid r (sx + sy) } - requires { toom22_threshold < sx } - requires { 0 < k } + requires { toom22_threshold < sy } + requires { 0 < k <= 64 } requires { sx <= toom22_threshold * power 2 k } requires { valid scratch (2 * (sx + k)) } - requires { 8 * sx <= max_int32 } + requires { 8 * sx < max_int32 } requires { 4 < sy + 2 <= sx } requires { sx + 6 <= 3 * sy } ensures { min r = old min r } @@ -855,6 +858,7 @@ with toom32_mul (r x y scratch: ptr limb) (sx sy:int32) (ghost k: int) : unit -> (pelts r)[j] = old (pelts r)[j] } ensures { forall j. min scratch <= j < offset scratch -> (pelts scratch)[j] = old (pelts scratch)[j] } + raises { StackOverflow -> true } variant { k + k } = let n = 1 + (if 2 * sx >= 3 * sy @@ -1007,7 +1011,7 @@ with toom32_mul (r x y scratch: ptr limb) (sx sy:int32) (ghost k: int) : unit let ghost am1_abs = value xm1 (int32'int n) + m * (uint64'int !hi) in let ghost bm1_abs = value ym1 (int32'int n) in label RecP1 in - toom22_mul_n_rec v1 xp1 yp1 sor n (k-1); + wmpn_toom22_mul_n_rec v1 xp1 yp1 sor n (k-1); let cy = ref 0 in begin ensures { value scratch (2 * n) + power radix (n + n) * !cy = (a0 + a1 + a2) * (b0 + b1) } @@ -1145,17 +1149,10 @@ with toom32_mul (r x y scratch: ptr limb) (sx sy:int32) (ghost k: int) : unit = (a0 + a1 + a2) * (b0 + b1) } end else assert { b0 + b1 = value yp1 n } end; - (* label Set in - value_sub_shift_no_change (pelts scratch) (offset scratch) - (2 * p2i n) - (2 * p2i n) !cy; - set_ofs scratch (2*n) !cy; - assert { value scratch (2 * n) = value (scratch at Set) (2 * n) }; - value_tail scratch (2*n); *) end; label RecM1 in join vm1 yp1; - toom22_mul_n_rec vm1 xm1 ym1 sor n (k-1); + wmpn_toom22_mul_n_rec vm1 xm1 ym1 sor n (k-1); begin ensures { value vm1 (2*n) + m * m * !hi = am1_abs * bm1_abs } ensures { min r = old min r } ensures { max r = old max r } @@ -1467,15 +1464,20 @@ with toom32_mul (r x y scratch: ptr limb) (sx sy:int32) (ghost k: int) : unit end; label Split3 in let ghost ovy1 = { vy1 } in - toom22_mul_n_rec r x y sor n (k-1); + wmpn_toom22_mul_n_rec r x y sor n (k-1); let r3n = incr_split xm1 n in value_sub_frame (pelts vy1) (pelts ovy1) (offset vy1) (offset vy1 + int32'int n); assert { value vy1 n = value ovy1 n }; assert { value r (n+n) = vx0 by value x n = a0 so value y n = b0 }; - begin ensures { value r3n (s+t) = vx3 } - if (Int32.(>) s t) then wmpn_mul r3n x2 y1 s t else wmpn_mul r3n y1 x2 t s + begin + ensures { value r3n (s+t) = vx3 } + ensures { min r3n = old min r3n /\ max r3n = old max r3n } + ensures { plength r3n = old plength r3n } + if (Int32.(>) s t) + then wmpn_mul r3n x2 y1 s t (k-1) + else wmpn_mul r3n y1 x2 t s (k-1) end; assert { (a0 + m * a1 + m * m * a2) * (b0 + m * b1) = m * vy + vx0 + m * m * m * vx3 - m * m * vx0 - m * vx3 }; @@ -1757,6 +1759,339 @@ with toom32_mul (r x y scratch: ptr limb) (sx sy:int32) (ghost k: int) : unit by value r (sx + sy) = value r (sx + sy) at JoinL = value r (sx + sy) at JoinR } -(* toom32_mul_n_rec = toom22_mul_n_rec for now, TODO replace with mpn_mul_n *) + + with wmpn_mul (r x y:ptr limb) (sx sy:int32) (ghost k: int) : unit + requires { valid x sx } + requires { valid y sy } + requires { valid r (sx + sy) } + requires { 0 < sy <= sx } + requires { 8 * sx < max_int32 } + requires { sx <= toom22_threshold * power 2 k } + requires { 0 <= k <= 64 } + ensures { min r = old min r } + ensures { max r = old max r } + ensures { plength r = old plength r } + ensures { value r (sx + sy) = value x sx * value y sy } + ensures { forall j. min r <= j < offset r \/ offset r + sx + sy <= j < max r + -> (pelts r)[j] = old (pelts r)[j] } + raises { StackOverflow -> true } + variant { k+k+1 } + = + if sy <= toom22_threshold + then + (* TODO block product if sx large, for memory locality according to GMP *) + wmpn_mul_basecase r x y sx sy + else begin + (* this would be faster with salloc *) + (*let ghost k = 64 in*) (* is always enough *) + let scratch = salloc (UInt32.of_int32 (Int32.(+) (Int32.( *) 5 sy) 128)) in + (* c_assert (is_not_null scratch); *) + let rol = decr_split r 0 in + let ror = incr_split r (Int32.(+) sx sy) in + if (Int32.(>=) (Int32.( *) 2 sx) (Int32.( *) 5 sy)) + then begin + let un = ref sx in + let su = Int32.(/) (Int32.( *) 3 sy) 2 in + assert { 0 < su }; + let ghost sr = Int32.(+) su sy in + let ws = salloc (UInt32.of_int32 (Int32.( *) 4 sy)) in + (* c_assert (is_not_null ws); *) + wmpn_toom32_mul r x y scratch su sy k; + un := Int32.(-) !un su; + let up = ref (C.incr x su) in + let rp = ref (C.incr r su) in + let ghost ou = ref su in + let ghost or = ref sr in + while (Int32.(>=) !un (Int32.( *) 2 sy)) do (* 5/2?*) + invariant { min_int32 <= 2 * !un <= max_int32 } + invariant { !ou + !un = sx } + invariant { !or = !ou + sy } + invariant { su <= !ou < sx } + invariant { !un < sx } + invariant { 2 * sy - su <= !un } + invariant { value r !or = value x !ou * value y sy } + invariant { offset !rp = offset r + !ou } + invariant { offset !up = offset x + !ou } + invariant { min !up = min x /\ max !up = max x } + invariant { plength !up = plength x } + invariant { min !rp = min r /\ max !rp = max r } + invariant { plength !rp = plength r } + invariant { min ws = 0 /\ max ws = plength ws = 4 * sy } + invariant { min scratch = 0 /\ max scratch = plength scratch } + invariant { plength scratch = 5 * sy + 128 } + invariant { pelts !rp = pelts r } + invariant { pelts !up = pelts x } + variant { p2i !un } + (*wmpn_copyi ws !rp sy; + let rr = rp.contents in + wmpn_toom32_mul rr !up y scratch su sy k; + let cy = wmpn_add_in_place rr ws sy sy in + let rpn = C.incr rr sy in + wmpn_incr rpn cy su; + un := Int32.(-) !un su; + up.contents <- C.incr !up su; + ou := Int32.(+) !ou su; + or := Int32.(+) !or su; + rp.contents <- C.incr !rp su;*) + label StartLoop in + let ghost o_r = { r } in + let ghost rrp = !rp in + let ghost o_rp = { rrp } in (* TODO why not { !rp } ? *) + value_concat r !ou !or; + assert { value r !or = value r !ou + power radix !ou * value !rp sy }; + wmpn_toom32_mul ws !up y scratch su sy k; + let cy = wmpn_add_in_place !rp ws sy sy in + value_sub_frame (pelts r) (pelts o_r) (offset r) (offset r + p2i !ou); + assert { value r !ou = value o_r !ou }; + assert { value !rp sy + (power radix sy) * cy + = value o_rp sy + value ws sy }; + let rpn = C.incr !rp sy in + let wsy = C.incr ws sy in + let orp = { rpn } in + label Copy in + wmpn_copyi rpn wsy su; + value_sub_frame_shift (pelts rpn) (pelts wsy) + (offset rpn) (offset wsy) (int32'int su); + value_sub_frame (pelts r) (pelts orp) (offset r) (offset r + p2i !ou); + value_sub_frame (pelts rpn) (pelts orp) + (offset !rp) (offset !rp + p2i sy); + assert { value rpn su = value wsy su }; + assert { value !rp sy = value (!rp at Copy) sy }; + assert { value r !ou = value o_r !ou }; + value_concat ws sy sr; + assert { value ws sr + = value ws (sy + su) + = value ws sy + power radix sy * value wsy su }; + value_concat r !ou (Int32.(+) !ou sr); + assert { value r (!or + su) = value r (!ou + sr) + = value r !ou + power radix !ou * value !rp sr }; + value_concat !rp sy sr; + assert { value !rp sr = value !rp sy + power radix sy * value rpn su }; + value_concat x !ou (Int32.(+) !ou su); + assert { value x (!ou + su) + = value x !ou + power radix !ou * value !up su }; + assert { value r (!ou + sr) + (power radix !or) * cy + = value x (!ou + su) * value y sy + by value r (!ou + sr) + (power radix !or) * cy + = value r !ou + power radix !ou * value !rp sr + + power radix !ou * (power radix sy) * cy + = value r !ou + power radix !ou * value !rp sy + + power radix !ou * power radix sy * value wsy su + + power radix !ou * power radix sy * cy + = value r !ou + + power radix !ou * (value !rp sy + power radix sy * cy) + + power radix !ou * power radix sy * value wsy su + = value r !ou + + power radix !ou * (value o_rp sy + value ws sy) + + power radix !ou * power radix sy * value wsy su + = value r !ou + power radix !ou * value o_rp sy + + power radix !ou + * (value ws sy + power radix sy * value wsy su) + = value o_r !or + + power radix !ou * value ws sr + = value x !ou * value y sy + + power radix !ou * value !up su * value y sy + = (value x !ou + power radix !ou * value !up su) + * value y sy + = value x (!ou + su) * value y sy }; + value_concat r !or (!ou + sr); + assert { value r (!ou + sr) + = value r !or + power radix !or * value rpn su }; + assert { value rpn su + cy < power radix su + by value x (!ou + su) < power radix (!ou + su) + so value y sy < power radix sy + so value x (!ou + su) * value y sy + < power radix (!ou + su) * power radix sy + = power radix (!ou + su + sy) + = power radix (!or + su) + so value r (!ou + sr) + power radix !or * cy + = value r !or + power radix !or * (value rpn su) + + power radix !or * cy + = value r !or + power radix !or * (value rpn su + cy) + so value r !or + power radix !or * (value rpn su + cy) + < power radix (!or + su) + so 0 <= value r !or + so power radix !or * (value rpn su + cy) + < power radix (!or + su) + = power radix !or * power radix su }; + label Incr in + let orp = { rpn } in + wmpn_incr rpn cy su; + value_sub_frame (pelts r) (pelts orp) (offset r) (offset r + p2i !or); + assert { value r !or = value r !or at Incr }; + value_concat r !or (!ou + sr); + assert { value r (!ou + sr) = value x (!ou + su) * value y sy + by value r (!ou + sr) + = value r !or + power radix !or * value rpn su + = value r !or at Incr + power radix !or * value rpn su + = value r !or at Incr + + power radix !or * (value rpn su at Incr + cy) + = value r !or at Incr + + power radix !or * value rpn su at Incr + + power radix !or * cy + = value r (!ou + sr) at Incr + power radix !or * cy }; + un := Int32.(-) !un su; + up.contents <- C.incr !up su; + ou := Int32.(+) !ou su; + or := Int32.(+) !or su; + rp.contents <- C.incr !rp su; + done; + (* wmpn_copyi ws !rp sy;*) + (* sy <= !un <= 2.5 * sy *) + value_concat r !ou !or; + assert { value r !or = value r !ou + power radix !ou * value !rp sy }; + let ghost o_r = { r } in + let ghost rrp = !rp in + let ghost o_rp = { rrp } in (* TODO why not { !rp } ? *) + begin + ensures { value ws (!un + sy) = value !up !un * value y sy } + ensures { min ws = old min ws /\ max ws = old max ws + /\ plength ws = old plength ws } + ensures { min scratch = old min scratch + /\ max scratch = old max scratch + /\ plength scratch = old plength scratch } + if Int32.(<=) sy !un + then begin + if (Int32.(<) (Int32.( *) 4 !un) (Int32.( *) 5 sy)) + then wmpn_toom22_mul ws !up y scratch !un sy k + else wmpn_toom32_mul ws !up y scratch !un sy k + end + else wmpn_mul ws y !up sy !un (k-1) + end; + let cy = wmpn_add_in_place !rp ws sy sy in + value_sub_frame (pelts r) (pelts o_r) (offset r) (offset r + p2i !ou); + assert { value r !ou = value o_r !ou }; + assert { value !rp sy + (power radix sy) * cy + = value o_rp sy + value ws sy }; + let rpn = C.incr !rp sy in + let wsy = C.incr ws sy in + let orp = { rpn } in + label Copy in + wmpn_copyi rpn wsy !un; + value_sub_frame_shift (pelts rpn) (pelts wsy) + (offset rpn) (offset wsy) (int32'int !un); + value_sub_frame (pelts r) (pelts orp) (offset r) (offset r + p2i !ou); + value_sub_frame (pelts rpn) (pelts orp) + (offset !rp) (offset !rp + p2i sy); + assert { value rpn !un = value wsy !un }; + assert { value !rp sy = value (!rp at Copy) sy }; + assert { value r !ou = value o_r !ou }; + let ghost sr = sy + !un in + value_concat ws sy sr; + assert { value ws sr + = value ws sy + power radix sy * value wsy !un }; + value_concat r !ou (Int32.(+) !ou sr); + assert { value r (!or + !un) = value r (!ou + sr) + = value r !ou + power radix !ou * value !rp sr }; + value_concat !rp sy sr; + assert { value !rp sr = value !rp sy + power radix sy * value rpn !un }; + value_concat x !ou (Int32.(+) !ou !un); + assert { value x (!ou + !un) + = value x !ou + power radix !ou * value !up !un }; + assert { value r (!ou + sr) + (power radix !or) * cy + = value x (!ou + !un) * value y sy + by value r (!ou + sr) + (power radix !or) * cy + = value r !ou + power radix !ou * value !rp sr + + power radix !ou * (power radix sy) * cy + = value r !ou + power radix !ou * value !rp sy + + power radix !ou * power radix sy * value wsy !un + + power radix !ou * power radix sy * cy + = value r !ou + + power radix !ou * (value !rp sy + power radix sy * cy) + + power radix !ou * power radix sy * value wsy !un + = value r !ou + + power radix !ou * (value o_rp sy + value ws sy) + + power radix !ou * power radix sy * value wsy !un + = value r !ou + power radix !ou * value o_rp sy + + power radix !ou + * (value ws sy + power radix sy * value wsy !un) + = value o_r !or + + power radix !ou * value ws sr + = value x !ou * value y sy + + power radix !ou * value !up !un * value y sy + = (value x !ou + power radix !ou * value !up !un) + * value y sy + = value x (!ou + !un) * value y sy }; + value_concat r !or (!ou + sr); + assert { value r (!ou + sr) + = value r !or + power radix !or * value rpn !un }; + assert { value rpn !un + cy < power radix !un + by value x (!ou + !un) < power radix (!ou + !un) + so value y sy < power radix sy + so value x (!ou + !un) * value y sy + < power radix (!ou + !un) * power radix sy + = power radix (!ou + !un + sy) + = power radix (!or + !un) + so value r (!ou + sr) + power radix !or * cy + = value r !or + power radix !or * (value rpn !un) + + power radix !or * cy + = value r !or + power radix !or * (value rpn !un + cy) + so value r !or + power radix !or * (value rpn !un + cy) + < power radix (!or + !un) + so 0 <= value r !or + so power radix !or * (value rpn !un + cy) + < power radix (!or + !un) + = power radix !or * power radix !un }; + let orp = { rpn } in + label Incr in + wmpn_incr rpn cy !un; + value_sub_frame (pelts r) (pelts orp) (offset r) (offset r + p2i !or); + assert { value r !or = value r !or at Incr }; + value_concat r !or (!ou + sr); + assert { value r (!ou + sr) = value x (!ou + !un) * value y sy + by value r (!ou + sr) + = value r !or + power radix !or * value rpn !un + = value r !or at Incr + power radix !or * value rpn !un + = value r !or at Incr + + power radix !or * (value rpn !un at Incr + cy) + = value r !or at Incr + + power radix !or * value rpn !un at Incr + + power radix !or * cy + = value r (!ou + sr) at Incr + power radix !or * cy }; + assert { value r (sx + sy) = value x sx * value y sy + by !ou + sr = sx + sy /\ !ou + !un = sx }; + sfree ws; + end + else begin + if (Int32.(<) (Int32.( *) 4 sx) (Int32.( *) 5 sy)) + then wmpn_toom22_mul r x y scratch sx sy k + else wmpn_toom32_mul r x y scratch sx sy k + end; + sfree scratch; + label JoinR in + let ghost or = { r } in + join r ror; + value_sub_frame (pelts r) (pelts or) (offset r) + (offset r + int32'int sx + int32'int sy); + label JoinL in + join_r rol r; + value_sub_frame (pelts r) (pelts or) (offset r) + (offset r + int32'int sx + int32'int sy); + assert { value r (sx + sy) = value x sx * value y sy + by value r (sx + sy) = value r (sx + sy) at JoinL + = value r (sx + sy) at JoinR } + end + (* sy <= !un <= 2.5 * sy *) + (* if Int32.(<=) sy !un + then begin + if (Int32.(<) (Int32.(*) 4 !un) (Int32.(*) 5 sy)) + then wmpn_toom22_mul ws !up y scratch !un sy k + else wmpn_toom32_mul ws !up y scratch !un sy k + end + else wmpn_mul ws y !up sy !un (k-1); + let cy = wmpn_add_in_place !rp ws sy sy in + let rpn = C.incr !rp sy in + wmpn_copyi rpn (C.incr ws sy) !un; + wmpn_incr rpn cy !un; + sfree ws; + end + else begin + if (Int32.(<) (Int32.(*) 4 sx) (Int32.(*) 5 sy)) + then wmpn_toom22_mul r x y scratch sx sy k + else wmpn_toom32_mul r x y scratch sx sy k + end; + sfree scratch + end*) + end \ No newline at end of file diff --git a/examples/multiprecision/toom/why3session.xml b/examples/multiprecision/toom/why3session.xml index 251598ee97ccddbe6899b6584fdc0125404067f9..30524265c2fda65ae65b8665ff3457958ad5243e 100644 --- a/examples/multiprecision/toom/why3session.xml +++ b/examples/multiprecision/toom/why3session.xml @@ -56,139 +56,139 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.0" expl="division by zero" proved="true"> + <goal name="VC wmpn_toom22_mul.0" expl="division by zero" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.1" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.1" expl="integer overflow" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.2" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.2" expl="integer overflow" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.3" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.3" expl="integer overflow" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.4" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.4" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.33"/></proof> </goal> - <goal name="VC toom22_mul.5" expl="assertion" proved="true"> - <proof prover="1"><result status="valid" time="0.31"/></proof> + <goal name="VC wmpn_toom22_mul.5" expl="assertion" proved="true"> + <proof prover="1"><result status="valid" time="0.46"/></proof> </goal> - <goal name="VC toom22_mul.6" expl="assertion" proved="true"> - <proof prover="5"><result status="valid" time="0.02" steps="30"/></proof> + <goal name="VC wmpn_toom22_mul.6" expl="assertion" proved="true"> + <proof prover="5"><result status="valid" time="0.02" steps="31"/></proof> </goal> - <goal name="VC toom22_mul.7" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.7" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.8" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.8" expl="precondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.09"/></proof> </goal> - <goal name="VC toom22_mul.9" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.9" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.10" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.10" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.11" expl="assertion" proved="true"> - <proof prover="5"><result status="valid" time="0.06" steps="101"/></proof> + <goal name="VC wmpn_toom22_mul.11" expl="assertion" proved="true"> + <proof prover="5"><result status="valid" time="0.06" steps="102"/></proof> </goal> - <goal name="VC toom22_mul.12" expl="assertion" proved="true"> - <proof prover="5"><result status="valid" time="0.13" steps="102"/></proof> + <goal name="VC wmpn_toom22_mul.12" expl="assertion" proved="true"> + <proof prover="5"><result status="valid" time="0.13" steps="103"/></proof> </goal> - <goal name="VC toom22_mul.13" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.13" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.14" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.14" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.15" expl="integer overflow" proved="true"> - <proof prover="0"><result status="valid" time="3.23"/></proof> + <goal name="VC wmpn_toom22_mul.15" expl="integer overflow" proved="true"> + <proof prover="0"><result status="valid" time="4.73"/></proof> </goal> - <goal name="VC toom22_mul.16" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.16" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.17" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.08" steps="66"/></proof> + <goal name="VC wmpn_toom22_mul.17" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="0.08" steps="67"/></proof> </goal> - <goal name="VC toom22_mul.18" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.18" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.19" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.19" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.00"/></proof> </goal> - <goal name="VC toom22_mul.20" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.20" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.21" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.21" expl="integer overflow" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.22" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.18" steps="91"/></proof> + <goal name="VC wmpn_toom22_mul.22" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="0.18" steps="92"/></proof> </goal> - <goal name="VC toom22_mul.23" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.15" steps="93"/></proof> + <goal name="VC wmpn_toom22_mul.23" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="0.15" steps="94"/></proof> </goal> - <goal name="VC toom22_mul.24" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.24" expl="integer overflow" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.25" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.25" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.26" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.26" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.26.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.26.0" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.09"/></proof> </goal> - <goal name="VC toom22_mul.26.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.26.1" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.27" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.27" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.28" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.28" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom22_mul.29" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.36" steps="210"/></proof> + <goal name="VC wmpn_toom22_mul.29" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="0.59" steps="211"/></proof> </goal> - <goal name="VC toom22_mul.30" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.48" steps="199"/></proof> + <goal name="VC wmpn_toom22_mul.30" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="0.48" steps="200"/></proof> </goal> - <goal name="VC toom22_mul.31" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.31" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.19"/></proof> </goal> - <goal name="VC toom22_mul.32" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.37" steps="212"/></proof> + <goal name="VC wmpn_toom22_mul.32" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="0.40" steps="213"/></proof> </goal> - <goal name="VC toom22_mul.33" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.34" steps="164"/></proof> + <goal name="VC wmpn_toom22_mul.33" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="0.38" steps="165"/></proof> </goal> - <goal name="VC toom22_mul.34" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.34" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.34.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.34.0" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.34.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.34.0.0" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.34.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.34.0.0.0" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.15"/></proof> </goal> - <goal name="VC toom22_mul.34.0.0.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.34.0.0.1" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.34.0.0.2" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.34.0.0.2" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.15"/></proof> </goal> - <goal name="VC toom22_mul.34.0.0.3" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.34.0.0.3" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC toom22_mul.34.0.0.4" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.34.0.0.4" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.34.0.0.5" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.34.0.0.5" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.13"/></proof> </goal> </transf> @@ -197,369 +197,369 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.35" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.35" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.36" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.36" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.37" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.37" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.38" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.38" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.39" expl="postcondition" proved="true"> - <proof prover="5"><result status="valid" time="0.43" steps="140"/></proof> + <goal name="VC wmpn_toom22_mul.39" expl="postcondition" proved="true"> + <proof prover="5"><result status="valid" time="0.74" steps="141"/></proof> </goal> - <goal name="VC toom22_mul.40" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.40" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.41" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.41" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.42" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.42" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.43" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.38" steps="211"/></proof> + <goal name="VC wmpn_toom22_mul.43" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="0.41" steps="212"/></proof> </goal> - <goal name="VC toom22_mul.44" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.48" steps="200"/></proof> + <goal name="VC wmpn_toom22_mul.44" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="0.48" steps="201"/></proof> </goal> - <goal name="VC toom22_mul.45" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.45" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.16"/></proof> </goal> - <goal name="VC toom22_mul.46" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.46" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.47" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.47" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.48" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.48" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.49" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.49" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.50" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.50" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC toom22_mul.51" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.51" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.52" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.52" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.53" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.53" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.54" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.38" steps="182"/></proof> + <goal name="VC wmpn_toom22_mul.54" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="0.73" steps="183"/></proof> </goal> - <goal name="VC toom22_mul.55" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.39" steps="213"/></proof> + <goal name="VC wmpn_toom22_mul.55" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="0.70" steps="214"/></proof> </goal> - <goal name="VC toom22_mul.56" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.52" steps="202"/></proof> + <goal name="VC wmpn_toom22_mul.56" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="0.52" steps="203"/></proof> </goal> - <goal name="VC toom22_mul.57" expl="assertion" proved="true"> - <proof prover="3"><result status="valid" time="0.43"/></proof> + <goal name="VC wmpn_toom22_mul.57" expl="assertion" proved="true"> + <proof prover="3"><result status="valid" time="0.44"/></proof> </goal> - <goal name="VC toom22_mul.58" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.58" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.59" expl="assertion" proved="true"> - <proof prover="5" memlimit="2000"><result status="valid" time="0.48" steps="137"/></proof> + <goal name="VC wmpn_toom22_mul.59" expl="assertion" proved="true"> + <proof prover="5" memlimit="2000"><result status="valid" time="0.47" steps="138"/></proof> </goal> - <goal name="VC toom22_mul.60" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.43" steps="220"/></proof> + <goal name="VC wmpn_toom22_mul.60" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="0.79" steps="221"/></proof> </goal> - <goal name="VC toom22_mul.61" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.61" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.16"/></proof> </goal> - <goal name="VC toom22_mul.62" expl="precondition" proved="true"> - <proof prover="5" memlimit="2000"><result status="valid" time="0.54" steps="217"/></proof> + <goal name="VC wmpn_toom22_mul.62" expl="precondition" proved="true"> + <proof prover="5" memlimit="2000"><result status="valid" time="0.76" steps="218"/></proof> </goal> - <goal name="VC toom22_mul.63" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.63" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.64" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.64" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.65" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.65" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.66" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.66" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.67" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.67" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.68" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.68" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.69" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.39" steps="148"/></proof> + <goal name="VC wmpn_toom22_mul.69" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="0.64" steps="149"/></proof> </goal> - <goal name="VC toom22_mul.70" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.70" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.71" expl="postcondition" proved="true"> - <proof prover="5" memlimit="2000"><result status="valid" time="0.66" steps="221"/></proof> + <goal name="VC wmpn_toom22_mul.71" expl="postcondition" proved="true"> + <proof prover="5" memlimit="2000"><result status="valid" time="0.87" steps="222"/></proof> </goal> - <goal name="VC toom22_mul.72" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.72" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.73" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.73" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.74" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.74" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.75" expl="precondition" proved="true"> - <proof prover="5" memlimit="2000"><result status="valid" time="0.50" steps="215"/></proof> + <goal name="VC wmpn_toom22_mul.75" expl="precondition" proved="true"> + <proof prover="5" memlimit="2000"><result status="valid" time="0.72" steps="216"/></proof> </goal> - <goal name="VC toom22_mul.76" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.52" steps="202"/></proof> + <goal name="VC wmpn_toom22_mul.76" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="0.60" steps="203"/></proof> </goal> - <goal name="VC toom22_mul.77" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.40" steps="211"/></proof> + <goal name="VC wmpn_toom22_mul.77" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="0.63" steps="212"/></proof> </goal> - <goal name="VC toom22_mul.78" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.78" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.79" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.79" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.80" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.44" steps="193"/></proof> + <goal name="VC wmpn_toom22_mul.80" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="0.60" steps="194"/></proof> </goal> - <goal name="VC toom22_mul.81" expl="integer overflow" proved="true"> - <proof prover="4" timelimit="20" memlimit="1000"><result status="valid" time="6.29"/></proof> - <proof prover="5" timelimit="20"><result status="valid" time="11.98" steps="379"/></proof> + <goal name="VC wmpn_toom22_mul.81" expl="integer overflow" proved="true"> + <proof prover="4" timelimit="20" memlimit="1000"><result status="valid" time="6.60"/></proof> + <proof prover="5" timelimit="20"><result status="valid" time="12.04" steps="380"/></proof> </goal> - <goal name="VC toom22_mul.82" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.82" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.13"/></proof> </goal> - <goal name="VC toom22_mul.83" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.83" expl="assertion" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.83.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.83.0" expl="assertion" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.83.0.0" expl="assertion" proved="true"> - <proof prover="5"><result status="valid" time="0.75" steps="209"/></proof> + <goal name="VC wmpn_toom22_mul.83.0.0" expl="assertion" proved="true"> + <proof prover="5"><result status="valid" time="1.10" steps="210"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom22_mul.84" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.84" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.85" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.85" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.86" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.86" expl="postcondition" proved="true"> <transf name="right" proved="true" > - <goal name="VC toom22_mul.86.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.86.0" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.86.0.0" expl="VC for toom22_mul" proved="true"> - <proof prover="5" memlimit="2000"><result status="valid" time="0.52" steps="154"/></proof> + <goal name="VC wmpn_toom22_mul.86.0.0" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="5" memlimit="2000"><result status="valid" time="0.72" steps="155"/></proof> </goal> - <goal name="VC toom22_mul.86.0.1" expl="VC for toom22_mul" proved="true"> - <proof prover="5"><result status="valid" time="2.40" steps="153"/></proof> + <goal name="VC wmpn_toom22_mul.86.0.1" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="5"><result status="valid" time="2.45" steps="154"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom22_mul.87" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.87" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.88" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.88" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.89" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.89" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.90" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.29"/></proof> + <goal name="VC wmpn_toom22_mul.90" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.35"/></proof> </goal> - <goal name="VC toom22_mul.91" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.43" steps="204"/></proof> + <goal name="VC wmpn_toom22_mul.91" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="0.67" steps="205"/></proof> </goal> - <goal name="VC toom22_mul.92" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.92" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom22_mul.93" expl="precondition" proved="true"> - <proof prover="5" memlimit="2000"><result status="valid" time="0.59" steps="219"/></proof> + <goal name="VC wmpn_toom22_mul.93" expl="precondition" proved="true"> + <proof prover="5" memlimit="2000"><result status="valid" time="0.77" steps="220"/></proof> </goal> - <goal name="VC toom22_mul.94" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.94" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.07"/></proof> </goal> - <goal name="VC toom22_mul.95" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.15"/></proof> + <goal name="VC wmpn_toom22_mul.95" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.18"/></proof> </goal> - <goal name="VC toom22_mul.96" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.96" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.97" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.97" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.98" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.98" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.99" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.99" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.100" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.100" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.15"/></proof> </goal> - <goal name="VC toom22_mul.101" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.101" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.102" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.102" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.103" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.103" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.104" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.104" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.105" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.28"/></proof> + <goal name="VC wmpn_toom22_mul.105" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.57"/></proof> </goal> - <goal name="VC toom22_mul.106" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.56" steps="205"/></proof> + <goal name="VC wmpn_toom22_mul.106" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="0.60" steps="206"/></proof> </goal> - <goal name="VC toom22_mul.107" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.44" steps="214"/></proof> + <goal name="VC wmpn_toom22_mul.107" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="0.71" steps="215"/></proof> </goal> - <goal name="VC toom22_mul.108" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.108" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.109" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.109" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.110" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.110" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.111" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.111" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.112" expl="postcondition" proved="true"> - <proof prover="5"><result status="valid" time="0.58" steps="144"/></proof> + <goal name="VC wmpn_toom22_mul.112" expl="postcondition" proved="true"> + <proof prover="5"><result status="valid" time="0.89" steps="145"/></proof> </goal> - <goal name="VC toom22_mul.113" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.113" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.114" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.114" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.115" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.115" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.116" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.116" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.117" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.117" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.118" expl="integer overflow" proved="true"> - <proof prover="5"><result status="valid" time="0.66" steps="203"/></proof> + <goal name="VC wmpn_toom22_mul.118" expl="integer overflow" proved="true"> + <proof prover="5"><result status="valid" time="0.88" steps="204"/></proof> </goal> - <goal name="VC toom22_mul.119" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.66" steps="227"/></proof> + <goal name="VC wmpn_toom22_mul.119" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="0.90" steps="228"/></proof> </goal> - <goal name="VC toom22_mul.120" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.73" steps="232"/></proof> + <goal name="VC wmpn_toom22_mul.120" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="0.90" steps="233"/></proof> </goal> - <goal name="VC toom22_mul.121" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.16"/></proof> + <goal name="VC wmpn_toom22_mul.121" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.28"/></proof> </goal> - <goal name="VC toom22_mul.122" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.122" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.60"/></proof> </goal> - <goal name="VC toom22_mul.123" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.123" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul.124" expl="assertion" proved="true"> - <proof prover="5"><result status="valid" time="0.82" steps="216"/></proof> + <goal name="VC wmpn_toom22_mul.124" expl="assertion" proved="true"> + <proof prover="5"><result status="valid" time="1.00" steps="217"/></proof> </goal> - <goal name="VC toom22_mul.125" expl="precondition" proved="true"> - <proof prover="5" memlimit="2000"><result status="valid" time="0.60" steps="238"/></proof> + <goal name="VC wmpn_toom22_mul.125" expl="precondition" proved="true"> + <proof prover="5" memlimit="2000"><result status="valid" time="0.99" steps="239"/></proof> </goal> - <goal name="VC toom22_mul.126" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.51" steps="188"/></proof> + <goal name="VC wmpn_toom22_mul.126" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="0.68" steps="189"/></proof> </goal> - <goal name="VC toom22_mul.127" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.56" steps="233"/></proof> + <goal name="VC wmpn_toom22_mul.127" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="0.87" steps="234"/></proof> </goal> - <goal name="VC toom22_mul.128" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.128" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.129" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.129" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.130" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.130" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.131" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.131" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.132" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.132" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.133" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.68" steps="163"/></proof> + <goal name="VC wmpn_toom22_mul.133" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="0.83" steps="164"/></proof> </goal> - <goal name="VC toom22_mul.134" expl="integer overflow" proved="true"> - <proof prover="5"><result status="valid" time="0.84" steps="197"/></proof> + <goal name="VC wmpn_toom22_mul.134" expl="integer overflow" proved="true"> + <proof prover="5"><result status="valid" time="1.37" steps="198"/></proof> </goal> - <goal name="VC toom22_mul.135" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.135" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.135.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.135.0" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.135.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.135.0.0" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.135.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.135.0.0.0" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.07"/></proof> </goal> - <goal name="VC toom22_mul.135.0.0.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.135.0.0.1" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom22_mul.135.0.0.2" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.135.0.0.2" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul.135.0.0.3" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.75" steps="171"/></proof> + <goal name="VC wmpn_toom22_mul.135.0.0.3" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="0.94" steps="172"/></proof> </goal> - <goal name="VC toom22_mul.135.0.0.4" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.135.0.0.4" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.135.0.0.5" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.135.0.0.5" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.08"/></proof> </goal> </transf> @@ -568,124 +568,124 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.136" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.136" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.136.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.136.0" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.136.0.0" expl="precondition" proved="true"> - <proof prover="5" memlimit="2000"><result status="valid" time="1.84" steps="252"/></proof> + <goal name="VC wmpn_toom22_mul.136.0.0" expl="precondition" proved="true"> + <proof prover="5" memlimit="2000"><result status="valid" time="2.65" steps="253"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom22_mul.137" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.137" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.138" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.138" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.139" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.139" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom22_mul.140" expl="assertion" proved="true"> - <proof prover="0"><result status="valid" time="1.15"/></proof> + <goal name="VC wmpn_toom22_mul.140" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="2.20"/></proof> </goal> - <goal name="VC toom22_mul.141" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.141" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom22_mul.142" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.142" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.143" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.143" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.144" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.144" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.145" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.145" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.146" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.146" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.147" expl="assertion" proved="true"> - <proof prover="5"><result status="valid" time="0.57" steps="201"/></proof> + <goal name="VC wmpn_toom22_mul.147" expl="assertion" proved="true"> + <proof prover="5"><result status="valid" time="0.73" steps="202"/></proof> </goal> - <goal name="VC toom22_mul.148" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.148" expl="assertion" proved="true"> <transf name="split_goal_right" proved="true" > - <goal name="VC toom22_mul.148.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.148.0" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.148.1" expl="VC for toom22_mul" proved="true"> - <proof prover="0"><result status="valid" time="0.48"/></proof> + <goal name="VC wmpn_toom22_mul.148.1" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="0"><result status="valid" time="0.79"/></proof> </goal> - <goal name="VC toom22_mul.148.2" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.148.2" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.148.2.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.148.2.0" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="apply" proved="true" arg1="prod_compat_r"> - <goal name="VC toom22_mul.148.2.0.0" proved="true"> + <goal name="VC wmpn_toom22_mul.148.2.0.0" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.148.2.0.1" proved="true"> + <goal name="VC wmpn_toom22_mul.148.2.0.1" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom22_mul.148.3" expl="VC for toom22_mul" proved="true"> - <proof prover="3"><result status="valid" time="0.87"/></proof> + <goal name="VC wmpn_toom22_mul.148.3" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="3"><result status="valid" time="0.84"/></proof> </goal> - <goal name="VC toom22_mul.148.4" expl="VC for toom22_mul" proved="true"> - <proof prover="3"><result status="valid" time="1.02"/></proof> + <goal name="VC wmpn_toom22_mul.148.4" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="3"><result status="valid" time="1.05"/></proof> </goal> - <goal name="VC toom22_mul.148.5" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.148.5" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul.148.6" expl="VC for toom22_mul" proved="true"> - <proof prover="5" memlimit="2000"><result status="valid" time="2.46" steps="469"/></proof> + <goal name="VC wmpn_toom22_mul.148.6" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="5" memlimit="2000"><result status="valid" time="3.04" steps="470"/></proof> </goal> - <goal name="VC toom22_mul.148.7" expl="VC for toom22_mul" proved="true"> - <proof prover="5"><result status="valid" time="0.98" steps="202"/></proof> + <goal name="VC wmpn_toom22_mul.148.7" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="5"><result status="valid" time="1.10" steps="203"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.149" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.149" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.150" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="1.17" steps="238"/></proof> + <goal name="VC wmpn_toom22_mul.150" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="1.52" steps="239"/></proof> </goal> - <goal name="VC toom22_mul.151" expl="precondition" proved="true"> - <proof prover="5" memlimit="2000"><result status="valid" time="1.27" steps="252"/></proof> + <goal name="VC wmpn_toom22_mul.151" expl="precondition" proved="true"> + <proof prover="5" memlimit="2000"><result status="valid" time="1.58" steps="253"/></proof> </goal> - <goal name="VC toom22_mul.152" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.152" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.152.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.152.0" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.152.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.152.0.0" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.152.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.152.0.0.0" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul.152.0.0.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.152.0.0.1" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.152.0.0.2" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.152.0.0.2" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.16"/></proof> </goal> - <goal name="VC toom22_mul.152.0.0.3" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.75" steps="154"/></proof> + <goal name="VC wmpn_toom22_mul.152.0.0.3" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="1.24" steps="155"/></proof> </goal> - <goal name="VC toom22_mul.152.0.0.4" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.152.0.0.4" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.152.0.0.5" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.152.0.0.5" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.16"/></proof> </goal> </transf> @@ -694,375 +694,387 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.153" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.153" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.154" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.154" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.155" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.155" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.156" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.156" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.157" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.157" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul.158" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.158" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.159" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.159" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.160" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.160" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.161" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.161" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.162" expl="variant decrease" proved="true"> + <goal name="VC wmpn_toom22_mul.162" expl="variant decrease" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.163" expl="precondition" proved="true"> - <proof prover="5" memlimit="2000"><result status="valid" time="0.96" steps="241"/></proof> + <goal name="VC wmpn_toom22_mul.163" expl="precondition" proved="true"> + <proof prover="5" memlimit="2000"><result status="valid" time="1.46" steps="242"/></proof> </goal> - <goal name="VC toom22_mul.164" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.70" steps="231"/></proof> + <goal name="VC wmpn_toom22_mul.164" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="1.27" steps="232"/></proof> </goal> - <goal name="VC toom22_mul.165" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.66" steps="252"/></proof> + <goal name="VC wmpn_toom22_mul.165" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="1.40" steps="253"/></proof> </goal> - <goal name="VC toom22_mul.166" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.166" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.167" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.167" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.168" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.168" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.169" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.05"/></proof> + <goal name="VC wmpn_toom22_mul.169" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.170" expl="precondition" proved="true"> - <proof prover="5" memlimit="2000"><result status="valid" time="0.82" steps="287"/></proof> + <goal name="VC wmpn_toom22_mul.170" expl="precondition" proved="true"> + <proof prover="5" memlimit="2000"><result status="valid" time="1.45" steps="289"/></proof> </goal> - <goal name="VC toom22_mul.171" expl="assertion" proved="true"> - <proof prover="5"><result status="valid" time="0.45" steps="149"/></proof> + <goal name="VC wmpn_toom22_mul.171" expl="assertion" proved="true"> + <proof prover="5"><result status="valid" time="0.63" steps="150"/></proof> </goal> - <goal name="VC toom22_mul.172" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.172" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.173" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.173" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom22_mul.174" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.174" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.175" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.175" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.176" expl="assertion" proved="true"> - <proof prover="5"><result status="valid" time="0.53" steps="156"/></proof> + <goal name="VC wmpn_toom22_mul.176" expl="assertion" proved="true"> + <proof prover="5"><result status="valid" time="0.85" steps="157"/></proof> </goal> - <goal name="VC toom22_mul.177" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.177" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.178" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.178" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul.179" expl="assertion" proved="true"> - <proof prover="5"><result status="valid" time="0.81" steps="224"/></proof> + <goal name="VC wmpn_toom22_mul.179" expl="assertion" proved="true"> + <proof prover="5"><result status="valid" time="1.08" steps="225"/></proof> </goal> - <goal name="VC toom22_mul.180" expl="assertion" proved="true"> - <proof prover="5"><result status="valid" time="0.72" steps="161"/></proof> + <goal name="VC wmpn_toom22_mul.180" expl="assertion" proved="true"> + <proof prover="5"><result status="valid" time="0.78" steps="162"/></proof> </goal> - <goal name="VC toom22_mul.181" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.181" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.181.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.181.0" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.181.1" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.181.1" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.182" expl="assertion" proved="true"> - <proof prover="5"><result status="valid" time="1.36" steps="291"/></proof> + <goal name="VC wmpn_toom22_mul.182" expl="assertion" proved="true"> + <proof prover="5"><result status="valid" time="1.90" steps="292"/></proof> </goal> - <goal name="VC toom22_mul.183" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.183" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.184" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="1.67" steps="259"/></proof> + <goal name="VC wmpn_toom22_mul.184" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="1.88" steps="260"/></proof> </goal> - <goal name="VC toom22_mul.185" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.185" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.186" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="1.74" steps="280"/></proof> + <goal name="VC wmpn_toom22_mul.186" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="2.18" steps="281"/></proof> </goal> - <goal name="VC toom22_mul.187" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.187" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.188" expl="variant decrease" proved="true"> + <goal name="VC wmpn_toom22_mul.188" expl="variant decrease" proved="true"> <proof prover="3"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom22_mul.189" expl="precondition" proved="true"> - <proof prover="5" memlimit="2000"><result status="valid" time="0.82" steps="279"/></proof> + <goal name="VC wmpn_toom22_mul.189" expl="precondition" proved="true"> + <proof prover="5" memlimit="2000"><result status="valid" time="1.39" steps="280"/></proof> </goal> - <goal name="VC toom22_mul.190" expl="precondition" proved="true"> - <proof prover="5" memlimit="2000"><result status="valid" time="0.86" steps="298"/></proof> + <goal name="VC wmpn_toom22_mul.190" expl="precondition" proved="true"> + <proof prover="5" memlimit="2000"><result status="valid" time="1.30" steps="299"/></proof> </goal> - <goal name="VC toom22_mul.191" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.85" steps="318"/></proof> + <goal name="VC wmpn_toom22_mul.191" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="1.53" steps="319"/></proof> </goal> - <goal name="VC toom22_mul.192" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.192" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.193" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.193" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.194" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.02"/></proof> + <goal name="VC wmpn_toom22_mul.194" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.195" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.195" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.196" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.02"/></proof> + <goal name="VC wmpn_toom22_mul.196" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.197" expl="variant decrease" proved="true"> + <goal name="VC wmpn_toom22_mul.197" expl="variant decrease" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.198" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="1.11" steps="289"/></proof> + <goal name="VC wmpn_toom22_mul.198" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="1.90" steps="290"/></proof> </goal> - <goal name="VC toom22_mul.199" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.199" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom22_mul.200" expl="precondition" proved="true"> - <proof prover="5" memlimit="2000"><result status="valid" time="1.14" steps="306"/></proof> + <goal name="VC wmpn_toom22_mul.200" expl="precondition" proved="true"> + <proof prover="5" memlimit="2000"><result status="valid" time="1.87" steps="307"/></proof> </goal> - <goal name="VC toom22_mul.201" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.201" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.202" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.202" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.203" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.04"/></proof> + <goal name="VC wmpn_toom22_mul.203" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.204" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.204" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.205" expl="precondition" proved="true"> - <proof prover="5" memlimit="2000"><result status="valid" time="1.31" steps="356"/></proof> + <goal name="VC wmpn_toom22_mul.205" expl="precondition" proved="true"> + <proof prover="5" memlimit="2000"><result status="valid" time="1.87" steps="358"/></proof> </goal> - <goal name="VC toom22_mul.206" expl="postcondition" proved="true"> - <proof prover="3"><result status="valid" time="0.01"/></proof> + <goal name="VC wmpn_toom22_mul.206" expl="postcondition" proved="true"> + <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.207" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.207" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.208" expl="postcondition" proved="true"> - <proof prover="5"><result status="valid" time="1.10" steps="185"/></proof> + <goal name="VC wmpn_toom22_mul.208" expl="postcondition" proved="true"> + <proof prover="5"><result status="valid" time="1.62" steps="186"/></proof> </goal> - <goal name="VC toom22_mul.209" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.209" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.210" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.210" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.211" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.211" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.212" expl="postcondition" proved="true"> - <proof prover="3"><result status="valid" time="0.04"/></proof> - </goal> - <goal name="VC toom22_mul.213" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.212" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.214" expl="postcondition" proved="true"> - <proof prover="3"><result status="valid" time="0.02"/></proof> + <goal name="VC wmpn_toom22_mul.213" expl="postcondition" proved="true"> + <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.215" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.214" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.216" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.215" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.217" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.216" expl="postcondition" proved="true"> + <proof prover="3"><result status="valid" time="0.01"/></proof> + </goal> + <goal name="VC wmpn_toom22_mul.217" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom22_mul.218" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.218" expl="postcondition" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.219" expl="postcondition" proved="true"> - <proof prover="0"><result status="valid" time="0.03"/></proof> + <goal name="VC wmpn_toom22_mul.219" expl="postcondition" proved="true"> + <proof prover="0"><result status="valid" time="0.04"/></proof> + </goal> + <goal name="VC wmpn_toom22_mul.220" expl="exceptional postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.05"/></proof> + </goal> + <goal name="VC wmpn_toom22_mul.221" expl="exceptional postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul.220" expl="variant decrease" proved="true"> + <goal name="VC wmpn_toom22_mul.222" expl="variant decrease" proved="true"> <proof prover="3"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom22_mul.221" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.94" steps="279"/></proof> + <goal name="VC wmpn_toom22_mul.223" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="1.13" steps="280"/></proof> </goal> - <goal name="VC toom22_mul.222" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.17"/></proof> + <goal name="VC wmpn_toom22_mul.224" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.41"/></proof> </goal> - <goal name="VC toom22_mul.223" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.93" steps="307"/></proof> + <goal name="VC wmpn_toom22_mul.225" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="1.37" steps="308"/></proof> </goal> - <goal name="VC toom22_mul.224" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.226" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.225" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.227" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.226" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.228" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.227" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.229" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.228" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.01"/></proof> + <goal name="VC wmpn_toom22_mul.230" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.229" expl="variant decrease" proved="true"> + <goal name="VC wmpn_toom22_mul.231" expl="variant decrease" proved="true"> <proof prover="3"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom22_mul.230" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="1.00" steps="289"/></proof> + <goal name="VC wmpn_toom22_mul.232" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="1.27" steps="290"/></proof> </goal> - <goal name="VC toom22_mul.231" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.233" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.232" expl="precondition" proved="true"> - <proof prover="5"><result status="valid" time="0.99" steps="306"/></proof> + <goal name="VC wmpn_toom22_mul.234" expl="precondition" proved="true"> + <proof prover="5"><result status="valid" time="1.67" steps="307"/></proof> </goal> - <goal name="VC toom22_mul.233" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.235" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.234" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.236" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.235" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.237" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.236" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.04"/></proof> + <goal name="VC wmpn_toom22_mul.238" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom22_mul.237" expl="precondition" proved="true"> - <proof prover="5" memlimit="2000"><result status="valid" time="1.12" steps="356"/></proof> + <goal name="VC wmpn_toom22_mul.239" expl="precondition" proved="true"> + <proof prover="5" memlimit="2000"><result status="valid" time="1.99" steps="358"/></proof> </goal> - <goal name="VC toom22_mul.238" expl="postcondition" proved="true"> - <proof prover="3"><result status="valid" time="0.02"/></proof> + <goal name="VC wmpn_toom22_mul.240" expl="postcondition" proved="true"> + <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.239" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.241" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.240" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.242" expl="postcondition" proved="true"> <proof prover="0"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom22_mul.241" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.243" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.242" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.244" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.243" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.245" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul.244" expl="postcondition" proved="true"> - <proof prover="3"><result status="valid" time="0.03"/></proof> - </goal> - <goal name="VC toom22_mul.245" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.246" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.246" expl="postcondition" proved="true"> - <proof prover="3"><result status="valid" time="0.01"/></proof> + <goal name="VC wmpn_toom22_mul.247" expl="postcondition" proved="true"> + <proof prover="3"><result status="valid" time="0.03"/></proof> + </goal> + <goal name="VC wmpn_toom22_mul.248" expl="postcondition" proved="true"> + <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.247" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.249" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.248" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.250" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.249" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.251" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.250" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.252" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.251" expl="postcondition" proved="true"> - <proof prover="0"><result status="valid" time="0.04"/></proof> + <goal name="VC wmpn_toom22_mul.253" expl="postcondition" proved="true"> + <proof prover="0"><result status="valid" time="0.03"/></proof> + </goal> + <goal name="VC wmpn_toom22_mul.254" expl="exceptional postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.07"/></proof> </goal> - <goal name="VC toom22_mul.252" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.255" expl="exceptional postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.07"/></proof> + </goal> + <goal name="VC wmpn_toom22_mul.256" expl="integer overflow" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.253" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.257" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC toom22_mul.254" expl="integer overflow" proved="true"> - <proof prover="1"><result status="valid" time="0.30"/></proof> + <goal name="VC wmpn_toom22_mul.258" expl="integer overflow" proved="true"> + <proof prover="1"><result status="valid" time="0.44"/></proof> </goal> - <goal name="VC toom22_mul.255" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.259" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul.256" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.260" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.257" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.261" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.16"/></proof> </goal> - <goal name="VC toom22_mul.258" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.262" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.259" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.263" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom22_mul.260" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.264" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.07"/></proof> </goal> - <goal name="VC toom22_mul.261" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.265" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.18"/></proof> </goal> - <goal name="VC toom22_mul.262" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.266" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom22_mul.263" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.267" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.263.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.267.0" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.263.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.267.0.0" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.263.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.267.0.0.0" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC toom22_mul.263.0.0.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.267.0.0.1" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.263.0.0.2" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.267.0.0.2" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.07"/></proof> </goal> - <goal name="VC toom22_mul.263.0.0.3" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.267.0.0.3" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom22_mul.263.0.0.4" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.267.0.0.4" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.263.0.0.5" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.267.0.0.5" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.07"/></proof> </goal> </transf> @@ -1071,28 +1083,28 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.264" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.268" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.264.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.268.0" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.264.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.268.0.0" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.264.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.268.0.0.0" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.13"/></proof> </goal> - <goal name="VC toom22_mul.264.0.0.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.268.0.0.1" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom22_mul.264.0.0.2" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.268.0.0.2" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.14"/></proof> </goal> - <goal name="VC toom22_mul.264.0.0.3" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.268.0.0.3" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom22_mul.264.0.0.4" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.268.0.0.4" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.264.0.0.5" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.268.0.0.5" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.05"/></proof> </goal> </transf> @@ -1101,31 +1113,31 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.265" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.269" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.266" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.270" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.266.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.270.0" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.266.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.270.0.0" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.266.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.270.0.0.0" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.09"/></proof> </goal> - <goal name="VC toom22_mul.266.0.0.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.270.0.0.1" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.266.0.0.2" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.270.0.0.2" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.20"/></proof> </goal> - <goal name="VC toom22_mul.266.0.0.3" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.270.0.0.3" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.14"/></proof> </goal> - <goal name="VC toom22_mul.266.0.0.4" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.270.0.0.4" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.19"/></proof> </goal> - <goal name="VC toom22_mul.266.0.0.5" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.270.0.0.5" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.24"/></proof> </goal> </transf> @@ -1134,31 +1146,31 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.267" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.24"/></proof> + <goal name="VC wmpn_toom22_mul.271" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.39"/></proof> </goal> - <goal name="VC toom22_mul.268" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.272" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.268.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.272.0" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.268.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.272.0.0" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.268.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.272.0.0.0" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.21"/></proof> </goal> - <goal name="VC toom22_mul.268.0.0.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.272.0.0.1" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.268.0.0.2" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.272.0.0.2" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.16"/></proof> </goal> - <goal name="VC toom22_mul.268.0.0.3" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.272.0.0.3" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.268.0.0.4" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.272.0.0.4" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.14"/></proof> </goal> - <goal name="VC toom22_mul.268.0.0.5" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.272.0.0.5" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.23"/></proof> </goal> </transf> @@ -1167,56 +1179,56 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.269" expl="integer overflow" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="0.24"/></proof> + <goal name="VC wmpn_toom22_mul.273" expl="integer overflow" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="0.47"/></proof> </goal> - <goal name="VC toom22_mul.270" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.274" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.270.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.274.0" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.270.1" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.274.1" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.270.2" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.274.2" expl="assertion" proved="true"> <proof prover="4"><result status="valid" time="0.26"/></proof> </goal> - <goal name="VC toom22_mul.270.3" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.274.3" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="1"><result status="valid" time="0.13"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.271" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.275" expl="integer overflow" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.272" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.276" expl="integer overflow" proved="true"> <proof prover="3"><result status="valid" time="0.30"/></proof> </goal> - <goal name="VC toom22_mul.273" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.277" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC toom22_mul.274" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.278" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.274.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.278.0" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.274.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.278.0.0" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.274.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.278.0.0.0" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.41"/></proof> </goal> - <goal name="VC toom22_mul.274.0.0.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.278.0.0.1" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.274.0.0.2" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.28"/></proof> + <goal name="VC wmpn_toom22_mul.278.0.0.2" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="0.50"/></proof> </goal> - <goal name="VC toom22_mul.274.0.0.3" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.278.0.0.3" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.34"/></proof> </goal> - <goal name="VC toom22_mul.274.0.0.4" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.30"/></proof> + <goal name="VC wmpn_toom22_mul.278.0.0.4" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="0.27"/></proof> </goal> - <goal name="VC toom22_mul.274.0.0.5" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.278.0.0.5" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.41"/></proof> </goal> </transf> @@ -1225,28 +1237,28 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.275" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.279" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.275.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.279.0" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.275.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.279.0.0" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.275.0.0.0" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.29"/></proof> + <goal name="VC wmpn_toom22_mul.279.0.0.0" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="0.30"/></proof> </goal> - <goal name="VC toom22_mul.275.0.0.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.279.0.0.1" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.275.0.0.2" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.30"/></proof> + <goal name="VC wmpn_toom22_mul.279.0.0.2" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="0.48"/></proof> </goal> - <goal name="VC toom22_mul.275.0.0.3" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.279.0.0.3" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.275.0.0.4" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.279.0.0.4" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.41"/></proof> </goal> - <goal name="VC toom22_mul.275.0.0.5" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.279.0.0.5" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.41"/></proof> </goal> </transf> @@ -1255,16 +1267,16 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.276" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.280" expl="integer overflow" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.276.0" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.280.0" expl="integer overflow" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.276.0.0" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.280.0.0" expl="integer overflow" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.276.0.0.0" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.280.0.0.0" expl="integer overflow" proved="true"> <proof prover="3"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom22_mul.276.0.0.1" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.280.0.0.1" expl="integer overflow" proved="true"> <proof prover="3"><result status="valid" time="0.07"/></proof> </goal> </transf> @@ -1273,47 +1285,47 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.277" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.281" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.277.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.281.0" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.277.1" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.281.1" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.277.2" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.281.2" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.277.3" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.281.3" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.277.4" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.281.4" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.278" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.282" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.16"/></proof> </goal> - <goal name="VC toom22_mul.279" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.283" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.280" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.56"/></proof> + <goal name="VC wmpn_toom22_mul.284" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="0.83"/></proof> </goal> - <goal name="VC toom22_mul.281" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.285" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.281.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.285.0" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.281.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.285.0.0" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.281.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.285.0.0.0" expl="precondition" proved="true"> <transf name="subst" proved="true" arg1="o1"> - <goal name="VC toom22_mul.281.0.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.285.0.0.0.0" expl="precondition" proved="true"> <transf name="subst" proved="true" arg1="o"> - <goal name="VC toom22_mul.281.0.0.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.285.0.0.0.0.0" expl="precondition" proved="true"> <transf name="apply" proved="true" arg1="H3"> - <goal name="VC toom22_mul.281.0.0.0.0.0.0" proved="true"> + <goal name="VC wmpn_toom22_mul.285.0.0.0.0.0.0" proved="true"> <proof prover="1"><result status="valid" time="0.22"/></proof> </goal> </transf> @@ -1328,22 +1340,22 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.282" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.286" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.283" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.287" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.283.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.287.0" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.283.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.287.0.0" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.283.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.287.0.0.0" expl="precondition" proved="true"> <transf name="subst" proved="true" arg1="o1"> - <goal name="VC toom22_mul.283.0.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.287.0.0.0.0" expl="precondition" proved="true"> <transf name="subst" proved="true" arg1="o"> - <goal name="VC toom22_mul.283.0.0.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.287.0.0.0.0.0" expl="precondition" proved="true"> <transf name="apply" proved="true" arg1="H4"> - <goal name="VC toom22_mul.283.0.0.0.0.0.0" proved="true"> + <goal name="VC wmpn_toom22_mul.287.0.0.0.0.0.0" proved="true"> <proof prover="1" memlimit="2000"><result status="valid" time="0.20"/></proof> </goal> </transf> @@ -1358,129 +1370,129 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.284" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.288" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.17"/></proof> </goal> - <goal name="VC toom22_mul.285" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.289" expl="integer overflow" proved="true"> <transf name="split_all_full" proved="true" > - <goal name="VC toom22_mul.285.0" expl="integer overflow" proved="true"> - <proof prover="3" timelimit="10" memlimit="4000"><result status="valid" time="0.68"/></proof> + <goal name="VC wmpn_toom22_mul.289.0" expl="integer overflow" proved="true"> + <proof prover="3" timelimit="10" memlimit="4000"><result status="valid" time="1.11"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.286" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.290" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.19"/></proof> </goal> - <goal name="VC toom22_mul.287" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.291" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.287.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.291.0" expl="assertion" proved="true"> <proof prover="0" memlimit="1000"><result status="valid" time="0.22"/></proof> </goal> - <goal name="VC toom22_mul.287.1" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.291.1" expl="assertion" proved="true"> <proof prover="0" memlimit="1000"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.287.2" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.291.2" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.287.3" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.291.3" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.22"/></proof> </goal> - <goal name="VC toom22_mul.287.4" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.291.4" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="1"><result status="valid" time="0.20"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.288" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.292" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.288.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.292.0" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.288.1" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.292.1" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="1"><result status="valid" time="0.19"/></proof> </goal> - <goal name="VC toom22_mul.288.2" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.292.2" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="revert" proved="true" arg1="H"> - <goal name="VC toom22_mul.288.2.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.292.2.0" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.288.2.0.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.292.2.0.0" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="left" proved="true" > - <goal name="VC toom22_mul.288.2.0.0.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.292.2.0.0.0" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.288.2.0.0.0.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.292.2.0.0.0.0" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.288.2.0.0.0.1" expl="VC for toom22_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.21"/></proof> + <goal name="VC wmpn_toom22_mul.292.2.0.0.0.1" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.38"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom22_mul.288.2.0.1" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.292.2.0.1" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="right" proved="true" > - <goal name="VC toom22_mul.288.2.0.1.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.292.2.0.1.0" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="replace" proved="true" arg1="((a0-a1)*(b0-b1))" arg2="((a1-a0)*(b1-b0))"> - <goal name="VC toom22_mul.288.2.0.1.0.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.292.2.0.1.0.0" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.288.2.0.1.0.0.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.292.2.0.1.0.0.0" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.288.2.0.1.0.0.1" expl="VC for toom22_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.24"/></proof> + <goal name="VC wmpn_toom22_mul.292.2.0.1.0.0.1" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.23"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.288.2.0.1.0.1" proved="true"> + <goal name="VC wmpn_toom22_mul.292.2.0.1.0.1" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom22_mul.288.2.0.2" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.292.2.0.2" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="left" proved="true" > - <goal name="VC toom22_mul.288.2.0.2.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.292.2.0.2.0" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.288.2.0.2.0.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.292.2.0.2.0.0" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> <proof prover="1"><result status="valid" time="0.07"/></proof> <proof prover="3"><result status="valid" time="0.02"/></proof> <transf name="split_all_full" proved="true" > - <goal name="VC toom22_mul.288.2.0.2.0.0.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.292.2.0.2.0.0.0" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="1" timelimit="10" memlimit="4000"><result status="valid" time="0.07"/></proof> <proof prover="3" timelimit="10" memlimit="4000"><result status="valid" time="0.01"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.288.2.0.2.0.1" expl="VC for toom22_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.26"/></proof> + <goal name="VC wmpn_toom22_mul.292.2.0.2.0.1" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.23"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom22_mul.288.2.0.3" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.292.2.0.3" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="right" proved="true" > - <goal name="VC toom22_mul.288.2.0.3.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.292.2.0.3.0" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="replace" proved="true" arg1="((a0-a1)*(b0-b1))" arg2="((a1-a0)*(b1-b0))"> - <goal name="VC toom22_mul.288.2.0.3.0.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.292.2.0.3.0.0" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.288.2.0.3.0.0.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.292.2.0.3.0.0.0" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> <proof prover="3"><result status="valid" time="0.01"/></proof> <transf name="split_all_full" proved="true" > - <goal name="VC toom22_mul.288.2.0.3.0.0.0.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.292.2.0.3.0.0.0.0" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="1" timelimit="10" memlimit="4000"><result status="valid" time="0.06"/></proof> <proof prover="3" timelimit="10" memlimit="4000"><result status="valid" time="0.01"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.288.2.0.3.0.0.1" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.292.2.0.3.0.0.1" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="4"><result status="valid" time="0.33"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.288.2.0.3.0.1" proved="true"> + <goal name="VC wmpn_toom22_mul.292.2.0.3.0.1" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> </transf> @@ -1493,40 +1505,40 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.289" expl="assertion" proved="true"> - <proof prover="3"><result status="valid" time="0.78"/></proof> + <goal name="VC wmpn_toom22_mul.293" expl="assertion" proved="true"> + <proof prover="3"><result status="valid" time="1.22"/></proof> </goal> - <goal name="VC toom22_mul.290" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.294" expl="integer overflow" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.291" expl="integer overflow" proved="true"> - <proof prover="3"><result status="valid" time="0.81"/></proof> + <goal name="VC wmpn_toom22_mul.295" expl="integer overflow" proved="true"> + <proof prover="3"><result status="valid" time="1.20"/></proof> </goal> - <goal name="VC toom22_mul.292" expl="precondition" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="0.12"/></proof> + <goal name="VC wmpn_toom22_mul.296" expl="precondition" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom22_mul.293" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.297" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.293.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.297.0" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.293.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.297.0.0" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.293.0.0.0" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.81"/></proof> + <goal name="VC wmpn_toom22_mul.297.0.0.0" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="0.80"/></proof> </goal> - <goal name="VC toom22_mul.293.0.0.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.297.0.0.1" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.293.0.0.2" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.297.0.0.2" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.80"/></proof> </goal> - <goal name="VC toom22_mul.293.0.0.3" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.81"/></proof> + <goal name="VC wmpn_toom22_mul.297.0.0.3" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="1.08"/></proof> </goal> - <goal name="VC toom22_mul.293.0.0.4" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.75"/></proof> + <goal name="VC wmpn_toom22_mul.297.0.0.4" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="1.13"/></proof> </goal> - <goal name="VC toom22_mul.293.0.0.5" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.297.0.0.5" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.79"/></proof> </goal> </transf> @@ -1535,29 +1547,29 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.294" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.298" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.294.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.298.0" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.294.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.298.0.0" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.294.0.0.0" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.74"/></proof> + <goal name="VC wmpn_toom22_mul.298.0.0.0" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="0.94"/></proof> </goal> - <goal name="VC toom22_mul.294.0.0.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.298.0.0.1" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.294.0.0.2" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.81"/></proof> + <goal name="VC wmpn_toom22_mul.298.0.0.2" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="1.11"/></proof> </goal> - <goal name="VC toom22_mul.294.0.0.3" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.298.0.0.3" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.294.0.0.4" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.98"/></proof> + <goal name="VC wmpn_toom22_mul.298.0.0.4" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="0.96"/></proof> </goal> - <goal name="VC toom22_mul.294.0.0.5" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.85"/></proof> + <goal name="VC wmpn_toom22_mul.298.0.0.5" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="1.08"/></proof> </goal> </transf> </goal> @@ -1565,94 +1577,94 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.295" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.299" expl="assertion" proved="true"> <transf name="assert" proved="true" arg1="(int32'int n + int32'int n = int32'int o)"> - <goal name="VC toom22_mul.295.0" proved="true"> + <goal name="VC wmpn_toom22_mul.299.0" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.295.1" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.299.1" expl="assertion" proved="true"> <transf name="rewrite" proved="true" arg1="h"> - <goal name="VC toom22_mul.295.1.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.299.1.0" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.11"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom22_mul.296" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.300" expl="integer overflow" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.296.0" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.300.0" expl="integer overflow" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.296.0.0" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.300.0.0" expl="integer overflow" proved="true"> <proof prover="1"><result status="valid" time="0.20"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom22_mul.297" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.301" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.297.0" expl="assertion" proved="true"> - <proof prover="4"><result status="valid" time="0.22"/></proof> + <goal name="VC wmpn_toom22_mul.301.0" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.41"/></proof> </goal> - <goal name="VC toom22_mul.297.1" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.301.1" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.297.2" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.301.2" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.297.3" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.301.3" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="4"><result status="valid" time="0.36"/></proof> </goal> - <goal name="VC toom22_mul.297.4" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.301.4" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="1"><result status="valid" time="0.20"/></proof> </goal> - <goal name="VC toom22_mul.297.5" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.301.5" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="1"><result status="valid" time="0.20"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.298" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.302" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.21"/></proof> </goal> - <goal name="VC toom22_mul.299" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.303" expl="integer overflow" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.300" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.304" expl="integer overflow" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.301" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.305" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.301.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.305.0" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom22_mul.301.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.305.1" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.15"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.302" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.306" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.302.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.306.0" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.302.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.306.0.0" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.302.0.0.0" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.82"/></proof> + <goal name="VC wmpn_toom22_mul.306.0.0.0" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="0.87"/></proof> </goal> - <goal name="VC toom22_mul.302.0.0.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.306.0.0.1" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.302.0.0.2" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.85"/></proof> + <goal name="VC wmpn_toom22_mul.306.0.0.2" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="1.21"/></proof> </goal> - <goal name="VC toom22_mul.302.0.0.3" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.77"/></proof> + <goal name="VC wmpn_toom22_mul.306.0.0.3" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="0.96"/></proof> </goal> - <goal name="VC toom22_mul.302.0.0.4" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.306.0.0.4" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.96"/></proof> </goal> - <goal name="VC toom22_mul.302.0.0.5" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.306.0.0.5" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.82"/></proof> </goal> </transf> @@ -1661,29 +1673,29 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.303" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.307" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.303.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.307.0" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.303.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.307.0.0" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.303.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.307.0.0.0" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.95"/></proof> </goal> - <goal name="VC toom22_mul.303.0.0.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.307.0.0.1" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.303.0.0.2" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.84"/></proof> + <goal name="VC wmpn_toom22_mul.307.0.0.2" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="0.92"/></proof> </goal> - <goal name="VC toom22_mul.303.0.0.3" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.307.0.0.3" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.303.0.0.4" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.80"/></proof> + <goal name="VC wmpn_toom22_mul.307.0.0.4" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="0.85"/></proof> </goal> - <goal name="VC toom22_mul.303.0.0.5" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.80"/></proof> + <goal name="VC wmpn_toom22_mul.307.0.0.5" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="1.06"/></proof> </goal> </transf> </goal> @@ -1691,16 +1703,16 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.304" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.308" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.304.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.308.0" expl="assertion" proved="true"> <transf name="assert" proved="true" arg1="(int32'int n + int32'int n = int32'int o)"> - <goal name="VC toom22_mul.304.0.0" proved="true"> + <goal name="VC wmpn_toom22_mul.308.0.0" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.304.0.1" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.308.0.1" expl="assertion" proved="true"> <transf name="rewrite" proved="true" arg1="h"> - <goal name="VC toom22_mul.304.0.1.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.308.0.1.0" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.20"/></proof> </goal> </transf> @@ -1709,109 +1721,109 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.305" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.309" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.305.0" expl="assertion" proved="true"> - <proof prover="1"><result status="valid" time="0.10"/></proof> + <goal name="VC wmpn_toom22_mul.309.0" expl="assertion" proved="true"> + <proof prover="1"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom22_mul.305.1" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.309.1" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.305.2" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.309.2" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.305.3" expl="VC for toom22_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.13"/></proof> + <goal name="VC wmpn_toom22_mul.309.3" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="1"><result status="valid" time="0.25"/></proof> </goal> - <goal name="VC toom22_mul.305.4" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.309.4" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.305.5" expl="VC for toom22_mul" proved="true"> - <proof prover="0"><result status="valid" time="1.12"/></proof> + <goal name="VC wmpn_toom22_mul.309.5" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="0"><result status="valid" time="1.68"/></proof> </goal> - <goal name="VC toom22_mul.305.6" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.309.6" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="1"><result status="valid" time="0.20"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.306" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.310" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.306.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.310.0" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.306.1" expl="VC for toom22_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.24"/></proof> + <goal name="VC wmpn_toom22_mul.310.1" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.46"/></proof> </goal> - <goal name="VC toom22_mul.306.2" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.310.2" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.306.3" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.310.3" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.306.4" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.310.4" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.306.5" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.310.5" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="1"><result status="valid" time="0.20"/></proof> </goal> - <goal name="VC toom22_mul.306.6" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.310.6" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="1"><result status="valid" time="0.15"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.307" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.311" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.307.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.311.0" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.307.1" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.311.1" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.307.2" expl="VC for toom22_mul" proved="true"> - <proof prover="3"><result status="valid" time="1.28"/></proof> + <goal name="VC wmpn_toom22_mul.311.2" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="3"><result status="valid" time="1.66"/></proof> </goal> - <goal name="VC toom22_mul.307.3" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.311.3" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.307.4" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.311.4" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.307.5" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.311.5" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="1"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom22_mul.307.6" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.311.6" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.307.7" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.311.7" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.307.8" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.311.8" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="1"><result status="valid" time="0.22"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.308" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.312" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.22"/></proof> </goal> - <goal name="VC toom22_mul.309" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.313" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.310" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.89"/></proof> + <goal name="VC wmpn_toom22_mul.314" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="0.93"/></proof> </goal> - <goal name="VC toom22_mul.311" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.315" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.311.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.315.0" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.311.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.315.0.0" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.311.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.315.0.0.0" expl="precondition" proved="true"> <transf name="subst" proved="true" arg1="o1"> - <goal name="VC toom22_mul.311.0.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.315.0.0.0.0" expl="precondition" proved="true"> <transf name="subst" proved="true" arg1="o"> - <goal name="VC toom22_mul.311.0.0.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.315.0.0.0.0.0" expl="precondition" proved="true"> <transf name="apply" proved="true" arg1="H3"> - <goal name="VC toom22_mul.311.0.0.0.0.0.0" proved="true"> + <goal name="VC wmpn_toom22_mul.315.0.0.0.0.0.0" proved="true"> <proof prover="1" memlimit="2000"><result status="valid" time="0.24"/></proof> </goal> </transf> @@ -1826,30 +1838,30 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.312" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.316" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.312.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.316.0" expl="assertion" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.312.0.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.316.0.0" expl="assertion" proved="true"> <proof prover="0" memlimit="1000"><result status="valid" time="0.04"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.312.1" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.316.1" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.313" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.317" expl="integer overflow" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.313.0" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.317.0" expl="integer overflow" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.313.0.0" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.317.0.0" expl="integer overflow" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.313.0.0.0" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.317.0.0.0" expl="integer overflow" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.313.0.0.1" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.317.0.0.1" expl="integer overflow" proved="true"> <proof prover="3"><result status="valid" time="0.05"/></proof> </goal> </transf> @@ -1858,30 +1870,30 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.314" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.318" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.314.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.318.0" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.314.1" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.91"/></proof> + <goal name="VC wmpn_toom22_mul.318.1" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="1.56"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.315" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.319" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.315.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.319.0" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.315.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.319.0.0" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.315.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.319.0.0.0" expl="precondition" proved="true"> <transf name="subst" proved="true" arg1="o1"> - <goal name="VC toom22_mul.315.0.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.319.0.0.0.0" expl="precondition" proved="true"> <transf name="subst" proved="true" arg1="o"> - <goal name="VC toom22_mul.315.0.0.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.319.0.0.0.0.0" expl="precondition" proved="true"> <transf name="apply" proved="true" arg1="H6"> - <goal name="VC toom22_mul.315.0.0.0.0.0.0" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="0.10"/></proof> + <goal name="VC wmpn_toom22_mul.319.0.0.0.0.0.0" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="0.23"/></proof> </goal> </transf> </goal> @@ -1895,49 +1907,49 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.316" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.320" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.316.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.320.0" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.23"/></proof> </goal> - <goal name="VC toom22_mul.316.1" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.320.1" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.316.2" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.320.2" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.316.2.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.320.2.0" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.316.2.0.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.320.2.0.0" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom22_mul.316.3" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.320.3" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.317" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.321" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.318" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="1.04"/></proof> + <goal name="VC wmpn_toom22_mul.322" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="1.62"/></proof> </goal> - <goal name="VC toom22_mul.319" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.323" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.319.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.323.0" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.319.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.323.0.0" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.319.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.323.0.0.0" expl="precondition" proved="true"> <transf name="subst" proved="true" arg1="o1"> - <goal name="VC toom22_mul.319.0.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.323.0.0.0.0" expl="precondition" proved="true"> <transf name="subst" proved="true" arg1="o"> - <goal name="VC toom22_mul.319.0.0.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.323.0.0.0.0.0" expl="precondition" proved="true"> <transf name="apply" proved="true" arg1="H3"> - <goal name="VC toom22_mul.319.0.0.0.0.0.0" proved="true"> + <goal name="VC wmpn_toom22_mul.323.0.0.0.0.0.0" proved="true"> <proof prover="1" memlimit="2000"><result status="valid" time="0.23"/></proof> </goal> </transf> @@ -1952,22 +1964,22 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.320" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.324" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.321" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.325" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.321.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.325.0" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.321.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.325.0.0" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.321.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.325.0.0.0" expl="precondition" proved="true"> <transf name="subst" proved="true" arg1="o1"> - <goal name="VC toom22_mul.321.0.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.325.0.0.0.0" expl="precondition" proved="true"> <transf name="subst" proved="true" arg1="o"> - <goal name="VC toom22_mul.321.0.0.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.325.0.0.0.0.0" expl="precondition" proved="true"> <transf name="apply" proved="true" arg1="H5"> - <goal name="VC toom22_mul.321.0.0.0.0.0.0" proved="true"> + <goal name="VC wmpn_toom22_mul.325.0.0.0.0.0.0" proved="true"> <proof prover="1" memlimit="2000"><result status="valid" time="0.24"/></proof> </goal> </transf> @@ -1982,27 +1994,27 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.322" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.326" expl="assertion" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.322.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.326.0" expl="assertion" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.322.0.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.326.0.0" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom22_mul.323" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.327" expl="integer overflow" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.323.0" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.327.0" expl="integer overflow" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.323.0.0" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.327.0.0" expl="integer overflow" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.323.0.0.0" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.327.0.0.0" expl="integer overflow" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.323.0.0.1" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.327.0.0.1" expl="integer overflow" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> </transf> @@ -2011,23 +2023,23 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.324" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.328" expl="integer overflow" proved="true"> <transf name="split_all_full" proved="true" > - <goal name="VC toom22_mul.324.0" expl="integer overflow" proved="true"> - <proof prover="3" timelimit="10" memlimit="4000"><result status="valid" time="1.36"/></proof> + <goal name="VC wmpn_toom22_mul.328.0" expl="integer overflow" proved="true"> + <proof prover="3" timelimit="10" memlimit="4000"><result status="valid" time="2.04"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.325" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.329" expl="integer overflow" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.325.0" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.329.0" expl="integer overflow" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.325.0.0" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.329.0.0" expl="integer overflow" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.325.0.0.0" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.329.0.0.0" expl="integer overflow" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.325.0.0.1" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.329.0.0.1" expl="integer overflow" proved="true"> <proof prover="3"><result status="valid" time="0.05"/></proof> </goal> </transf> @@ -2036,39 +2048,39 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.326" expl="integer overflow" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.36"/></proof> + <goal name="VC wmpn_toom22_mul.330" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.66"/></proof> </goal> - <goal name="VC toom22_mul.327" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.331" expl="integer overflow" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.328" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.332" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.328.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.332.0" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom22_mul.328.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.332.1" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.16"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.329" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.333" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.20"/></proof> </goal> - <goal name="VC toom22_mul.330" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.334" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.330.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.334.0" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.330.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.334.0.0" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.330.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.334.0.0.0" expl="precondition" proved="true"> <transf name="subst" proved="true" arg1="o1"> - <goal name="VC toom22_mul.330.0.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.334.0.0.0.0" expl="precondition" proved="true"> <transf name="subst" proved="true" arg1="o"> - <goal name="VC toom22_mul.330.0.0.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.334.0.0.0.0.0" expl="precondition" proved="true"> <transf name="apply" proved="true" arg1="H13"> - <goal name="VC toom22_mul.330.0.0.0.0.0.0" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="0.11"/></proof> + <goal name="VC wmpn_toom22_mul.334.0.0.0.0.0.0" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="0.26"/></proof> </goal> </transf> </goal> @@ -2082,531 +2094,531 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.331" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.335" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.331.0" expl="assertion" proved="true"> - <proof prover="1"><result status="valid" time="0.10"/></proof> + <goal name="VC wmpn_toom22_mul.335.0" expl="assertion" proved="true"> + <proof prover="1"><result status="valid" time="0.25"/></proof> </goal> - <goal name="VC toom22_mul.331.1" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.335.1" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.331.2" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.335.2" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.331.3" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.335.3" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="rewrite" proved="true" arg1="<-" arg2="Power_sum"> - <goal name="VC toom22_mul.331.3.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.335.3.0" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="rewrite" proved="true" arg1="<-" arg2="Power_sum"> - <goal name="VC toom22_mul.331.3.0.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.335.3.0.0" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.331.3.0.1" proved="true"> + <goal name="VC wmpn_toom22_mul.335.3.0.1" proved="true"> <proof prover="3"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul.331.3.0.2" proved="true"> + <goal name="VC wmpn_toom22_mul.335.3.0.2" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.331.3.1" proved="true"> - <proof prover="3"><result status="valid" time="0.04"/></proof> - </goal> - <goal name="VC toom22_mul.331.3.2" proved="true"> + <goal name="VC wmpn_toom22_mul.335.3.1" proved="true"> <proof prover="3"><result status="valid" time="0.06"/></proof> </goal> + <goal name="VC wmpn_toom22_mul.335.3.2" proved="true"> + <proof prover="3"><result status="valid" time="0.04"/></proof> + </goal> </transf> </goal> - <goal name="VC toom22_mul.331.4" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.335.4" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.331.5" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.335.5" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom22_mul.331.6" expl="VC for toom22_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.32"/></proof> + <goal name="VC wmpn_toom22_mul.335.6" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.46"/></proof> </goal> - <goal name="VC toom22_mul.331.7" expl="VC for toom22_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.26"/></proof> + <goal name="VC wmpn_toom22_mul.335.7" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.54"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.332" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.336" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.333" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.337" expl="precondition" proved="true"> <proof prover="0"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul.334" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.338" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.335" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.339" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.335.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.339.0" expl="assertion" proved="true"> <proof prover="0" memlimit="1000"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.335.1" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.339.1" expl="assertion" proved="true"> <transf name="assert" proved="true" arg1="(0 < m)"> - <goal name="VC toom22_mul.335.1.0" proved="true"> - <proof prover="4"><result status="valid" time="0.29"/></proof> + <goal name="VC wmpn_toom22_mul.339.1.0" proved="true"> + <proof prover="4"><result status="valid" time="0.49"/></proof> </goal> - <goal name="VC toom22_mul.335.1.1" expl="assertion" proved="true"> - <proof prover="4"><result status="valid" time="0.27"/></proof> + <goal name="VC wmpn_toom22_mul.339.1.1" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.47"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom22_mul.336" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.340" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.336.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.340.0" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul.336.1" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.340.1" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.336.2" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.340.2" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="1"><result status="valid" time="0.26"/></proof> </goal> - <goal name="VC toom22_mul.336.3" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.340.3" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="1"><result status="valid" time="0.22"/></proof> </goal> - <goal name="VC toom22_mul.336.4" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.340.4" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.336.5" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.340.5" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.336.6" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.340.6" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.336.7" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.340.7" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.336.8" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.340.8" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.336.9" expl="VC for toom22_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.11"/></proof> + <goal name="VC wmpn_toom22_mul.340.9" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="1"><result status="valid" time="0.15"/></proof> </goal> - <goal name="VC toom22_mul.336.10" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.340.10" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.336.11" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.340.11" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.336.12" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.340.12" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.336.13" expl="VC for toom22_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.11"/></proof> + <goal name="VC wmpn_toom22_mul.340.13" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="1"><result status="valid" time="0.27"/></proof> </goal> - <goal name="VC toom22_mul.336.14" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.340.14" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.336.15" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.340.15" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.336.16" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.340.16" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.336.17" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.340.17" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.336.18" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.340.18" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.336.19" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.340.19" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="1"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom22_mul.336.20" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.340.20" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.336.21" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.340.21" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.336.22" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.340.22" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.336.23" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.340.23" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="1"><result status="valid" time="0.20"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.337" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.341" expl="integer overflow" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.338" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.342" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.338.0" expl="precondition" proved="true"> - <proof prover="4"><result status="valid" time="0.28"/></proof> + <goal name="VC wmpn_toom22_mul.342.0" expl="precondition" proved="true"> + <proof prover="4"><result status="valid" time="0.50"/></proof> </goal> - <goal name="VC toom22_mul.338.1" expl="precondition" proved="true"> - <proof prover="4"><result status="valid" time="0.31"/></proof> + <goal name="VC wmpn_toom22_mul.342.1" expl="precondition" proved="true"> + <proof prover="4"><result status="valid" time="0.58"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.339" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.343" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.340" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.344" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.341" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.345" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.341.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.345.0" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.341.1" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.345.1" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.341.2" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.345.2" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul.341.3" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.345.3" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.341.4" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.345.4" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.341.5" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.345.5" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.341.6" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.345.6" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.341.7" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.345.7" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.341.8" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.345.8" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.341.9" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.345.9" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.342" expl="assertion" proved="true"> - <proof prover="0"><result status="valid" time="0.87"/></proof> + <goal name="VC wmpn_toom22_mul.346" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="1.59"/></proof> </goal> - <goal name="VC toom22_mul.343" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.347" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.344" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.348" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.345" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.349" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.346" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.350" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.347" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.351" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.347.0" expl="assertion" proved="true"> - <proof prover="0"><result status="valid" time="0.11"/></proof> + <goal name="VC wmpn_toom22_mul.351.0" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom22_mul.347.1" expl="assertion" proved="true"> - <proof prover="0"><result status="valid" time="0.42"/></proof> + <goal name="VC wmpn_toom22_mul.351.1" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.58"/></proof> </goal> - <goal name="VC toom22_mul.347.2" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.2" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.347.3" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.3" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.347.4" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.4" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.347.5" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.5" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.347.6" expl="VC for toom22_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.44"/></proof> + <goal name="VC wmpn_toom22_mul.351.6" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.59"/></proof> </goal> - <goal name="VC toom22_mul.347.7" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.7" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul.347.8" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.8" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom22_mul.347.9" expl="VC for toom22_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.44"/></proof> + <goal name="VC wmpn_toom22_mul.351.9" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.37"/></proof> </goal> - <goal name="VC toom22_mul.347.10" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.10" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.347.11" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.11" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.347.12" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.12" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.347.13" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.13" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.347.14" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.14" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.347.15" expl="VC for toom22_mul" proved="true"> - <proof prover="3" memlimit="2000"><result status="valid" time="1.62"/></proof> + <goal name="VC wmpn_toom22_mul.351.15" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="3" memlimit="2000"><result status="valid" time="2.12"/></proof> </goal> - <goal name="VC toom22_mul.347.16" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.16" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.347.17" expl="VC for toom22_mul" proved="true"> - <proof prover="0"><result status="valid" time="0.22"/></proof> + <goal name="VC wmpn_toom22_mul.351.17" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="0"><result status="valid" time="0.42"/></proof> <proof prover="1"><result status="valid" time="0.26"/></proof> </goal> - <goal name="VC toom22_mul.347.18" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.18" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.347.19" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.19" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.347.20" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.20" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.347.21" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.21" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.347.22" expl="VC for toom22_mul" proved="true"> - <proof prover="0"><result status="valid" time="0.22"/></proof> + <goal name="VC wmpn_toom22_mul.351.22" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="0"><result status="valid" time="0.42"/></proof> </goal> - <goal name="VC toom22_mul.347.23" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.23" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.347.24" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.24" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.347.24.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.24.0" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="unfold" proved="true" arg1="m"> - <goal name="VC toom22_mul.347.24.0.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.24.0.0" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.25" expl="VC for toom22_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.34"/></proof> + <goal name="VC wmpn_toom22_mul.351.25" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.45"/></proof> </goal> - <goal name="VC toom22_mul.347.26" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.26" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.07"/></proof> </goal> - <goal name="VC toom22_mul.347.27" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.27" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.347.28" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.28" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="apply" proved="true" arg1="Power_monotonic"> - <goal name="VC toom22_mul.347.28.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.28.0" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.347.28.0.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.28.0.0" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.347.28.0.1" proved="true"> + <goal name="VC wmpn_toom22_mul.351.28.0.1" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.347.28.0.2" proved="true"> + <goal name="VC wmpn_toom22_mul.351.28.0.2" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.29" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.29" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.347.30" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.30" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.347.31" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.31" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.347.32" expl="VC for toom22_mul" proved="true"> - <proof prover="3" memlimit="2000"><result status="valid" time="1.72"/></proof> + <goal name="VC wmpn_toom22_mul.351.32" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="3" memlimit="2000"><result status="valid" time="2.06"/></proof> </goal> - <goal name="VC toom22_mul.347.33" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.33" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.347.34" expl="VC for toom22_mul" proved="true"> - <proof prover="3" memlimit="2000"><result status="valid" time="1.77"/></proof> + <goal name="VC wmpn_toom22_mul.351.34" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="3" memlimit="2000"><result status="valid" time="1.63"/></proof> </goal> - <goal name="VC toom22_mul.347.35" expl="VC for toom22_mul" proved="true"> - <proof prover="3" memlimit="2000"><result status="valid" time="1.91"/></proof> + <goal name="VC wmpn_toom22_mul.351.35" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="3" memlimit="2000"><result status="valid" time="1.94"/></proof> </goal> - <goal name="VC toom22_mul.347.36" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.36" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul.347.37" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.37" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="4"><result status="valid" time="0.41"/></proof> <transf name="remove" proved="true" arg1="real,tuple0,unit,tuple2,tuple3,t1,valuation_mod"> - <goal name="VC toom22_mul.347.37.0" expl="VC for toom22_mul" proved="true"> - <proof prover="4" timelimit="1"><result status="valid" time="0.37"/></proof> + <goal name="VC wmpn_toom22_mul.351.37.0" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="4" timelimit="1"><result status="valid" time="0.56"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.38" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.38" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="rewrite" proved="true" arg1="H2"> - <goal name="VC toom22_mul.347.38.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.38.0" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="apply" proved="true" arg1="valuation_pow"> - <goal name="VC toom22_mul.347.38.0.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.38.0.0" proved="true"> <proof prover="3"><result status="valid" time="0.06"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.39" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.39" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="apply" proved="true" arg1="valuation_lower_bound"> - <goal name="VC toom22_mul.347.39.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.39.0" proved="true"> <proof prover="0"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom22_mul.347.39.1" proved="true"> + <goal name="VC wmpn_toom22_mul.351.39.1" proved="true"> <proof prover="1"><result status="valid" time="0.13"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.40" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.40" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="apply" proved="true" arg1="valuation_prod"> - <goal name="VC toom22_mul.347.40.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.40.0" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.347.40.1" proved="true"> + <goal name="VC wmpn_toom22_mul.351.40.1" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.347.40.2" proved="true"> - <proof prover="4"><result status="valid" time="0.35"/></proof> + <goal name="VC wmpn_toom22_mul.351.40.2" proved="true"> + <proof prover="4"><result status="valid" time="0.40"/></proof> </goal> - <goal name="VC toom22_mul.347.40.3" proved="true"> + <goal name="VC wmpn_toom22_mul.351.40.3" proved="true"> <proof prover="4"><result status="valid" time="0.53"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.41" expl="VC for toom22_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.11"/></proof> + <goal name="VC wmpn_toom22_mul.351.41" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="1"><result status="valid" time="0.27"/></proof> </goal> - <goal name="VC toom22_mul.347.42" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.42" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom22_mul.347.43" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.43" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.347.44" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.44" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="apply" proved="true" arg1="valuation_times_nondiv"> - <goal name="VC toom22_mul.347.44.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.44.0" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.347.44.1" proved="true"> + <goal name="VC wmpn_toom22_mul.351.44.1" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.347.44.2" proved="true"> + <goal name="VC wmpn_toom22_mul.351.44.2" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.347.44.2.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.44.2.0" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.347.44.2.1" proved="true"> + <goal name="VC wmpn_toom22_mul.351.44.2.1" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.45" expl="VC for toom22_mul" proved="true"> - <proof prover="0"><result status="valid" time="0.76"/></proof> + <goal name="VC wmpn_toom22_mul.351.45" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="0"><result status="valid" time="1.20"/></proof> </goal> - <goal name="VC toom22_mul.347.46" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.46" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="1"><result status="valid" time="0.22"/></proof> </goal> - <goal name="VC toom22_mul.347.47" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.47" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.347.48" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.48" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="apply" proved="true" arg1="H11"> - <goal name="VC toom22_mul.347.48.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.48.0" proved="true"> <proof prover="3"><result status="valid" time="0.06"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.49" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.49" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="apply" proved="true" arg1="Power_s_alt"> - <goal name="VC toom22_mul.347.49.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.49.0" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.50" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.50" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom22_mul.347.51" expl="VC for toom22_mul" proved="true"> - <proof prover="0"><result status="valid" time="1.00"/></proof> + <goal name="VC wmpn_toom22_mul.351.51" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="0"><result status="valid" time="2.22"/></proof> </goal> - <goal name="VC toom22_mul.347.52" expl="VC for toom22_mul" proved="true"> - <proof prover="0"><result status="valid" time="0.52"/></proof> + <goal name="VC wmpn_toom22_mul.351.52" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="0"><result status="valid" time="0.73"/></proof> </goal> - <goal name="VC toom22_mul.347.53" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.53" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.347.54" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.54" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="unfold" proved="true" arg1="value"> - <goal name="VC toom22_mul.347.54.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.54.0" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="apply" proved="true" arg1="value_sub_upper_bound"> - <goal name="VC toom22_mul.347.54.0.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.54.0.0" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.55" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.55" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.347.56" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.56" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.347.57" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.57" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.347.58" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.58" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.347.59" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.59" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.347.60" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.60" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="apply" proved="true" arg1="H8"> - <goal name="VC toom22_mul.347.60.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.60.0" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.61" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.61" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.347.62" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.62" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="apply" proved="true" arg1="H9"> - <goal name="VC toom22_mul.347.62.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.62.0" proved="true"> <proof prover="3"><result status="valid" time="0.07"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.63" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.63" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="unfold" proved="true" arg1="a1'"> - <goal name="VC toom22_mul.347.63.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.63.0" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="unfold" proved="true" arg1="k"> - <goal name="VC toom22_mul.347.63.0.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.63.0.0" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="case" proved="true" arg1="a1=0"> - <goal name="VC toom22_mul.347.63.0.0.0" expl="true case" proved="true"> + <goal name="VC wmpn_toom22_mul.351.63.0.0.0" expl="true case" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.347.63.0.0.1" expl="false case" proved="true"> + <goal name="VC wmpn_toom22_mul.351.63.0.0.1" expl="false case" proved="true"> <transf name="apply" proved="true" arg1="valuation_decomp"> - <goal name="VC toom22_mul.347.63.0.0.1.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.63.0.0.1.0" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.347.63.0.0.1.1" proved="true"> + <goal name="VC wmpn_toom22_mul.351.63.0.0.1.1" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.347.63.0.0.1.2" proved="true"> - <proof prover="4"><result status="valid" time="0.35"/></proof> + <goal name="VC wmpn_toom22_mul.351.63.0.0.1.2" proved="true"> + <proof prover="4"><result status="valid" time="0.55"/></proof> </goal> </transf> </goal> @@ -2616,25 +2628,25 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.347.64" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.64" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="unfold" proved="true" arg1="b1'"> - <goal name="VC toom22_mul.347.64.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.64.0" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="unfold" proved="true" arg1="l"> - <goal name="VC toom22_mul.347.64.0.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.64.0.0" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="case" proved="true" arg1="b1=0"> - <goal name="VC toom22_mul.347.64.0.0.0" expl="true case" proved="true"> + <goal name="VC wmpn_toom22_mul.351.64.0.0.0" expl="true case" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.347.64.0.0.1" expl="false case" proved="true"> + <goal name="VC wmpn_toom22_mul.351.64.0.0.1" expl="false case" proved="true"> <transf name="apply" proved="true" arg1="valuation_decomp"> - <goal name="VC toom22_mul.347.64.0.0.1.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.64.0.0.1.0" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.347.64.0.0.1.1" proved="true"> + <goal name="VC wmpn_toom22_mul.351.64.0.0.1.1" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.347.64.0.0.1.2" proved="true"> - <proof prover="4"><result status="valid" time="0.38"/></proof> + <goal name="VC wmpn_toom22_mul.351.64.0.0.1.2" proved="true"> + <proof prover="4"><result status="valid" time="0.74"/></proof> </goal> </transf> </goal> @@ -2644,43 +2656,43 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.347.65" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.65" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.08"/></proof> - <proof prover="1"><result status="valid" time="0.16"/></proof> + <proof prover="1"><result status="valid" time="0.28"/></proof> </goal> - <goal name="VC toom22_mul.347.66" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.66" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="assert" proved="true" arg1="(a1*b1 > 0)"> - <goal name="VC toom22_mul.347.66.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.66.0" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.347.66.1" expl="VC for toom22_mul" proved="true"> - <proof prover="4"><result status="valid" time="1.66"/></proof> + <goal name="VC wmpn_toom22_mul.351.66.1" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="4"><result status="valid" time="2.29"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.67" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.67" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="assert" proved="true" arg1="(a1*b1 > 0)"> - <goal name="VC toom22_mul.347.67.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.67.0" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.347.67.1" expl="VC for toom22_mul" proved="true"> - <proof prover="4"><result status="valid" time="2.23"/></proof> + <goal name="VC wmpn_toom22_mul.351.67.1" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="4"><result status="valid" time="2.67"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.68" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.68" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="cut" proved="true" arg1="(0 <= k /\ divides (power 2 k) a1)"> - <goal name="VC toom22_mul.347.68.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.68.0" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.347.68.1" proved="true"> + <goal name="VC wmpn_toom22_mul.351.68.1" proved="true"> <transf name="unfold" proved="true" arg1="k"> - <goal name="VC toom22_mul.347.68.1.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.68.1.0" proved="true"> <transf name="apply" proved="true" arg1="valuation_spec"> - <goal name="VC toom22_mul.347.68.1.0.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.68.1.0.0" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.347.68.1.0.1" proved="true"> + <goal name="VC wmpn_toom22_mul.351.68.1.0.1" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> </transf> @@ -2689,19 +2701,19 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.347.69" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.69" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="cut" proved="true" arg1="(0 <= l /\ divides (power 2 l) b1)"> - <goal name="VC toom22_mul.347.69.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.69.0" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.347.69.1" proved="true"> + <goal name="VC wmpn_toom22_mul.351.69.1" proved="true"> <transf name="unfold" proved="true" arg1="l"> - <goal name="VC toom22_mul.347.69.1.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.69.1.0" proved="true"> <transf name="apply" proved="true" arg1="valuation_spec"> - <goal name="VC toom22_mul.347.69.1.0.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.69.1.0.0" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.347.69.1.0.1" proved="true"> + <goal name="VC wmpn_toom22_mul.351.69.1.0.1" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> </transf> @@ -2710,26 +2722,26 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.347.70" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.70" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="assert" proved="true" arg1="(1 <= power 2 k * a1')"> - <goal name="VC toom22_mul.347.70.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.70.0" proved="true"> <proof prover="3"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom22_mul.347.70.1" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.70.1" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="assert" proved="true" arg1="(0 <> a1')"> - <goal name="VC toom22_mul.347.70.1.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.70.1.0" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.347.70.1.1" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.70.1.1" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="assert" proved="true" arg1="(a1' >= 0)"> - <goal name="VC toom22_mul.347.70.1.1.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.70.1.1.0" proved="true"> <transf name="unfold" proved="true" arg1="a1'"> - <goal name="VC toom22_mul.347.70.1.1.0.0" proved="true"> - <proof prover="3" memlimit="2000"><result status="valid" time="1.79"/></proof> + <goal name="VC wmpn_toom22_mul.351.70.1.1.0.0" proved="true"> + <proof prover="3" memlimit="2000"><result status="valid" time="1.64"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.70.1.1.1" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.70.1.1.1" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.05"/></proof> </goal> </transf> @@ -2738,26 +2750,26 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.347.71" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.71" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="assert" proved="true" arg1="(1 <= power 2 l * b1')"> - <goal name="VC toom22_mul.347.71.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.71.0" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.347.71.1" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.71.1" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="assert" proved="true" arg1="(0 <> b1')"> - <goal name="VC toom22_mul.347.71.1.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.71.1.0" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.347.71.1.1" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.71.1.1" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="assert" proved="true" arg1="(b1' >= 0)"> - <goal name="VC toom22_mul.347.71.1.1.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.71.1.1.0" proved="true"> <transf name="unfold" proved="true" arg1="b1'"> - <goal name="VC toom22_mul.347.71.1.1.0.0" proved="true"> - <proof prover="3" memlimit="2000"><result status="valid" time="2.02"/></proof> + <goal name="VC wmpn_toom22_mul.351.71.1.1.0.0" proved="true"> + <proof prover="3" memlimit="2000"><result status="valid" time="2.28"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.71.1.1.1" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.71.1.1.1" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> </transf> @@ -2766,636 +2778,636 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.347.72" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.72" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="rewrite" proved="true" arg1="H8"> - <goal name="VC toom22_mul.347.72.0" expl="VC for toom22_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.48"/></proof> + <goal name="VC wmpn_toom22_mul.351.72.0" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.76"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.73" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.73" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="unfold" proved="true" arg1="a1"> - <goal name="VC toom22_mul.347.73.0" expl="VC for toom22_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.44"/></proof> + <goal name="VC wmpn_toom22_mul.351.73.0" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.50"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.74" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.74" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.347.75" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.75" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="assert" proved="true" arg1="((64*s < k) -> false)"> - <goal name="VC toom22_mul.347.75.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.75.0" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.347.75.0.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.75.0.0" proved="true"> <transf name="assert" proved="true" arg1="(power 2 (64*s) <= power 2 k)"> - <goal name="VC toom22_mul.347.75.0.0.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.75.0.0.0" proved="true"> <transf name="apply" proved="true" arg1="Power_monotonic"> - <goal name="VC toom22_mul.347.75.0.0.0.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.75.0.0.0.0" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.347.75.0.0.0.0.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.75.0.0.0.0.0" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.347.75.0.0.0.0.1" proved="true"> + <goal name="VC wmpn_toom22_mul.351.75.0.0.0.0.1" proved="true"> <proof prover="3"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul.347.75.0.0.0.0.2" proved="true"> + <goal name="VC wmpn_toom22_mul.351.75.0.0.0.0.2" proved="true"> <proof prover="3"><result status="valid" time="0.06"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.75.0.0.1" proved="true"> + <goal name="VC wmpn_toom22_mul.351.75.0.0.1" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.75.1" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.75.1" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.76" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.76" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.347.77" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.77" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="rewrite" proved="true" arg1="H8"> - <goal name="VC toom22_mul.347.77.0" expl="VC for toom22_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.40"/></proof> + <goal name="VC wmpn_toom22_mul.351.77.0" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.79"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.78" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.78" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="unfold" proved="true" arg1="b1"> - <goal name="VC toom22_mul.347.78.0" expl="VC for toom22_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.39"/></proof> + <goal name="VC wmpn_toom22_mul.351.78.0" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.76"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.79" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.79" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.347.80" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.80" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="assert" proved="true" arg1="(64*t < l -> false)"> - <goal name="VC toom22_mul.347.80.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.80.0" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.347.80.0.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.80.0.0" proved="true"> <transf name="assert" proved="true" arg1="(power 2 (64*t) <= power 2 l)"> - <goal name="VC toom22_mul.347.80.0.0.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.80.0.0.0" proved="true"> <transf name="apply" proved="true" arg1="Power_monotonic"> - <goal name="VC toom22_mul.347.80.0.0.0.0" proved="true"> - <proof prover="1"><result status="valid" time="0.11"/></proof> + <goal name="VC wmpn_toom22_mul.351.80.0.0.0.0" proved="true"> + <proof prover="1"><result status="valid" time="0.27"/></proof> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.347.80.0.0.0.0.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.80.0.0.0.0.0" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.347.80.0.0.0.0.1" proved="true"> + <goal name="VC wmpn_toom22_mul.351.80.0.0.0.0.1" proved="true"> <proof prover="3"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul.347.80.0.0.0.0.2" proved="true"> + <goal name="VC wmpn_toom22_mul.351.80.0.0.0.0.2" proved="true"> <proof prover="3"><result status="valid" time="0.07"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.80.0.0.1" proved="true"> + <goal name="VC wmpn_toom22_mul.351.80.0.0.1" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.80.1" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.80.1" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.81" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.81" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.347.82" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.82" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="assert" proved="true" arg1="(a*c < b * c)"> - <goal name="VC toom22_mul.347.82.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.82.0" proved="true"> <proof prover="3"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul.347.82.1" expl="VC for toom22_mul" proved="true"> - <proof prover="0"><result status="valid" time="1.16"/></proof> - <proof prover="4"><result status="valid" time="0.43"/></proof> + <goal name="VC wmpn_toom22_mul.351.82.1" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="0"><result status="valid" time="1.30"/></proof> + <proof prover="4"><result status="valid" time="0.76"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.83" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.83" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="apply" proved="true" arg1="H" arg2="with" arg3="(power 2 k),(power 2 (64*s))"> - <goal name="VC toom22_mul.347.83.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.83.0" proved="true"> <transf name="rewrite" proved="true" arg1="<-" arg2="Power_sum"> - <goal name="VC toom22_mul.347.83.0.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.83.0.0" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.347.83.0.1" proved="true"> + <goal name="VC wmpn_toom22_mul.351.83.0.1" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.347.83.0.2" proved="true"> + <goal name="VC wmpn_toom22_mul.351.83.0.2" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.83.1" proved="true"> + <goal name="VC wmpn_toom22_mul.351.83.1" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.347.83.2" proved="true"> - <proof prover="4"><result status="valid" time="0.42"/></proof> + <goal name="VC wmpn_toom22_mul.351.83.2" proved="true"> + <proof prover="4"><result status="valid" time="0.47"/></proof> </goal> - <goal name="VC toom22_mul.347.83.3" proved="true"> + <goal name="VC wmpn_toom22_mul.351.83.3" proved="true"> <transf name="cut" proved="true" arg1="(1 <= power 2 k)"> - <goal name="VC toom22_mul.347.83.3.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.83.3.0" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.347.83.3.1" proved="true"> + <goal name="VC wmpn_toom22_mul.351.83.3.1" proved="true"> <transf name="apply" proved="true" arg1="power_ge_1"> - <goal name="VC toom22_mul.347.83.3.1.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.83.3.1.0" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.347.83.3.1.1" proved="true"> + <goal name="VC wmpn_toom22_mul.351.83.3.1.1" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.83.4" proved="true"> - <proof prover="0"><result status="valid" time="2.36"/></proof> + <goal name="VC wmpn_toom22_mul.351.83.4" proved="true"> + <proof prover="0"><result status="valid" time="3.26"/></proof> <transf name="cut" proved="true" arg1="(power 2 (64*s - k) >= 0)"> - <goal name="VC toom22_mul.347.83.4.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.83.4.0" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.347.83.4.1" proved="true"> - <proof prover="0"><result status="valid" time="2.37"/></proof> + <goal name="VC wmpn_toom22_mul.351.83.4.1" proved="true"> + <proof prover="0"><result status="valid" time="3.07"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.83.5" proved="true"> - <proof prover="0"><result status="valid" time="2.82"/></proof> + <goal name="VC wmpn_toom22_mul.351.83.5" proved="true"> + <proof prover="0"><result status="valid" time="4.00"/></proof> <proof prover="3"><result status="valid" time="0.07"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.84" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.84" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom22_mul.347.85" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.85" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="apply" proved="true" arg1="H2" arg2="with" arg3="(power 2 l),(power 2 (64*t))"> - <goal name="VC toom22_mul.347.85.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.85.0" proved="true"> <transf name="rewrite" proved="true" arg1="<-" arg2="Power_sum"> - <goal name="VC toom22_mul.347.85.0.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.85.0.0" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.347.85.0.1" proved="true"> + <goal name="VC wmpn_toom22_mul.351.85.0.1" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.347.85.0.2" proved="true"> + <goal name="VC wmpn_toom22_mul.351.85.0.2" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.85.1" proved="true"> + <goal name="VC wmpn_toom22_mul.351.85.1" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.347.85.2" proved="true"> - <proof prover="4"><result status="valid" time="0.39"/></proof> + <goal name="VC wmpn_toom22_mul.351.85.2" proved="true"> + <proof prover="4"><result status="valid" time="0.48"/></proof> </goal> - <goal name="VC toom22_mul.347.85.3" proved="true"> + <goal name="VC wmpn_toom22_mul.351.85.3" proved="true"> <transf name="cut" proved="true" arg1="(1 <= power 2 l)"> - <goal name="VC toom22_mul.347.85.3.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.85.3.0" proved="true"> <proof prover="3"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom22_mul.347.85.3.1" proved="true"> + <goal name="VC wmpn_toom22_mul.351.85.3.1" proved="true"> <transf name="apply" proved="true" arg1="power_ge_1"> - <goal name="VC toom22_mul.347.85.3.1.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.85.3.1.0" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.347.85.3.1.1" proved="true"> + <goal name="VC wmpn_toom22_mul.351.85.3.1.1" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.85.4" proved="true"> - <proof prover="0"><result status="valid" time="2.26"/></proof> + <goal name="VC wmpn_toom22_mul.351.85.4" proved="true"> + <proof prover="0"><result status="valid" time="3.10"/></proof> </goal> - <goal name="VC toom22_mul.347.85.5" proved="true"> + <goal name="VC wmpn_toom22_mul.351.85.5" proved="true"> <proof prover="3"><result status="valid" time="0.05"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.86" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.86" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul.347.87" expl="VC for toom22_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.42"/></proof> + <goal name="VC wmpn_toom22_mul.351.87" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.59"/></proof> </goal> - <goal name="VC toom22_mul.347.88" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.88" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="apply" proved="true" arg1="prod_compat_r"> - <goal name="VC toom22_mul.347.88.0" proved="true"> + <goal name="VC wmpn_toom22_mul.351.88.0" proved="true"> <proof prover="3"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul.347.88.1" proved="true"> + <goal name="VC wmpn_toom22_mul.351.88.1" proved="true"> <proof prover="3"><result status="valid" time="0.05"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.89" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.89" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.347.90" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.90" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom22_mul.347.91" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.91" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="rewrite" proved="true" arg1="<-" arg2="Power_sum"> - <goal name="VC toom22_mul.347.91.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.91.0" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.347.91.1" proved="true"> + <goal name="VC wmpn_toom22_mul.351.91.1" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.347.91.2" proved="true"> + <goal name="VC wmpn_toom22_mul.351.91.2" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.92" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.92" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.347.93" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.93" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.347.94" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.94" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.347.95" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.95" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.347.96" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.96" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.347.97" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.97" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.347.98" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.98" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="rewrite" proved="true" arg1="<-" arg2="Power_sum"> - <goal name="VC toom22_mul.347.98.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.98.0" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.347.98.1" proved="true"> + <goal name="VC wmpn_toom22_mul.351.98.1" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.347.98.2" proved="true"> + <goal name="VC wmpn_toom22_mul.351.98.2" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.347.99" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.99" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom22_mul.347.100" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.100" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom22_mul.347.101" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.101" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.347.102" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.102" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> <proof prover="1"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom22_mul.347.103" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.103" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.05"/></proof> <proof prover="1"><result status="valid" time="0.15"/></proof> </goal> - <goal name="VC toom22_mul.347.104" expl="VC for toom22_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.41"/></proof> + <goal name="VC wmpn_toom22_mul.351.104" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.71"/></proof> </goal> - <goal name="VC toom22_mul.347.105" expl="VC for toom22_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.16"/></proof> + <goal name="VC wmpn_toom22_mul.351.105" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="1"><result status="valid" time="0.29"/></proof> </goal> - <goal name="VC toom22_mul.347.106" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.106" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.347.107" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.107" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom22_mul.347.108" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.351.108" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.05"/></proof> <proof prover="3"><result status="valid" time="0.06"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.348" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.352" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.348.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.352.0" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.348.1" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.352.1" expl="assertion" proved="true"> <proof prover="0" memlimit="1000"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.348.2" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.352.2" expl="assertion" proved="true"> <transf name="rewrite" proved="true" arg1="<-" arg2="Power_sum"> - <goal name="VC toom22_mul.348.2.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.352.2.0" expl="assertion" proved="true"> <transf name="rewrite" proved="true" arg1="<-" arg2="Power_sum"> - <goal name="VC toom22_mul.348.2.0.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.352.2.0.0" expl="assertion" proved="true"> <transf name="rewrite" proved="true" arg1="<-" arg2="Power_sum"> - <goal name="VC toom22_mul.348.2.0.0.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.352.2.0.0.0" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.348.2.0.0.1" proved="true"> + <goal name="VC wmpn_toom22_mul.352.2.0.0.1" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.348.2.0.0.2" proved="true"> + <goal name="VC wmpn_toom22_mul.352.2.0.0.2" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.348.2.0.1" proved="true"> + <goal name="VC wmpn_toom22_mul.352.2.0.1" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.348.2.0.2" proved="true"> + <goal name="VC wmpn_toom22_mul.352.2.0.2" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.348.2.1" proved="true"> + <goal name="VC wmpn_toom22_mul.352.2.1" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.348.2.2" proved="true"> + <goal name="VC wmpn_toom22_mul.352.2.2" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.348.3" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.352.3" expl="assertion" proved="true"> <transf name="rewrite" proved="true" arg1="<-" arg2="Power_sum"> - <goal name="VC toom22_mul.348.3.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.352.3.0" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.348.3.1" proved="true"> + <goal name="VC wmpn_toom22_mul.352.3.1" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.348.3.2" proved="true"> + <goal name="VC wmpn_toom22_mul.352.3.2" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.348.4" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.352.4" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="unfold" proved="true" arg1="m"> - <goal name="VC toom22_mul.348.4.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.352.4.0" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="unfold" proved="true" arg1="m'"> - <goal name="VC toom22_mul.348.4.0.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.352.4.0.0" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="1"><result status="valid" time="0.21"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom22_mul.348.5" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.352.5" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.348.6" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.352.6" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="1"><result status="valid" time="0.22"/></proof> </goal> - <goal name="VC toom22_mul.348.7" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.352.7" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.348.8" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.352.8" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="1"><result status="valid" time="0.22"/></proof> </goal> - <goal name="VC toom22_mul.348.9" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.352.9" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.348.10" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.352.10" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.13"/></proof> </goal> - <goal name="VC toom22_mul.348.11" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.352.11" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom22_mul.348.12" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.352.12" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.348.13" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.352.13" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom22_mul.348.14" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.352.14" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.348.15" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.352.15" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="apply" proved="true" arg1="prod_compat_strict_r"> - <goal name="VC toom22_mul.348.15.0" proved="true"> + <goal name="VC wmpn_toom22_mul.352.15.0" proved="true"> <proof prover="3"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom22_mul.348.15.1" proved="true"> + <goal name="VC wmpn_toom22_mul.352.15.1" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.348.16" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.352.16" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.348.17" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.352.17" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.348.18" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.352.18" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="apply" proved="true" arg1="H"> - <goal name="VC toom22_mul.348.18.0" proved="true"> + <goal name="VC wmpn_toom22_mul.352.18.0" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.348.18.0.0" proved="true"> + <goal name="VC wmpn_toom22_mul.352.18.0.0" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.348.18.0.1" proved="true"> + <goal name="VC wmpn_toom22_mul.352.18.0.1" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.348.18.1" proved="true"> + <goal name="VC wmpn_toom22_mul.352.18.1" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.348.18.1.0" proved="true"> + <goal name="VC wmpn_toom22_mul.352.18.1.0" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.348.18.1.1" proved="true"> + <goal name="VC wmpn_toom22_mul.352.18.1.1" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom22_mul.348.19" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.352.19" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="rewrite" proved="true" arg1="<-" arg2="Power_sum"> - <goal name="VC toom22_mul.348.19.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.352.19.0" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.348.19.1" proved="true"> + <goal name="VC wmpn_toom22_mul.352.19.1" proved="true"> <proof prover="3"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul.348.19.2" proved="true"> + <goal name="VC wmpn_toom22_mul.352.19.2" proved="true"> <proof prover="3"><result status="valid" time="0.06"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.348.20" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.352.20" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.349" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.353" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.349.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.353.0" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.349.1" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.353.1" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="assert" proved="true" arg1="(0 <= cy)"> - <goal name="VC toom22_mul.349.1.0" proved="true"> + <goal name="VC wmpn_toom22_mul.353.1.0" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.349.1.1" expl="VC for toom22_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.29"/></proof> + <goal name="VC wmpn_toom22_mul.353.1.1" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.52"/></proof> <transf name="remove" proved="true" arg1="real,unit,tuple2,tuple3,t1"> - <goal name="VC toom22_mul.349.1.1.0" expl="VC for toom22_mul" proved="true"> - <proof prover="4" timelimit="1"><result status="valid" time="0.31"/></proof> + <goal name="VC wmpn_toom22_mul.353.1.1.0" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="4" timelimit="1"><result status="valid" time="0.34"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom22_mul.349.2" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.353.2" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.349.3" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.353.3" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.349.4" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.353.4" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.349.5" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.353.5" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.349.6" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.353.6" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom22_mul.349.7" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.353.7" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.349.8" expl="VC for toom22_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.32"/></proof> + <goal name="VC wmpn_toom22_mul.353.8" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.48"/></proof> </goal> - <goal name="VC toom22_mul.349.9" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.353.9" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.349.10" expl="VC for toom22_mul" proved="true"> - <proof prover="0"><result status="valid" time="0.11"/></proof> + <goal name="VC wmpn_toom22_mul.353.10" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="0"><result status="valid" time="0.23"/></proof> </goal> - <goal name="VC toom22_mul.349.11" expl="VC for toom22_mul" proved="true"> - <proof prover="0"><result status="valid" time="0.44"/></proof> + <goal name="VC wmpn_toom22_mul.353.11" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="0"><result status="valid" time="0.62"/></proof> </goal> - <goal name="VC toom22_mul.349.12" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.353.12" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.349.13" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.353.13" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="apply" proved="true" arg1="prod_compat_r"> - <goal name="VC toom22_mul.349.13.0" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.50"/></proof> + <goal name="VC wmpn_toom22_mul.353.13.0" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="1.24"/></proof> </goal> - <goal name="VC toom22_mul.349.13.1" proved="true"> - <proof prover="4"><result status="valid" time="0.37"/></proof> + <goal name="VC wmpn_toom22_mul.353.13.1" proved="true"> + <proof prover="4"><result status="valid" time="0.46"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.349.14" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.353.14" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.349.15" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.353.15" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.349.16" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.353.16" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="apply" proved="true" arg1="prod_compat_r"> - <goal name="VC toom22_mul.349.16.0" proved="true"> + <goal name="VC wmpn_toom22_mul.353.16.0" proved="true"> <transf name="assert" proved="true" arg1="(0 <= m)"> - <goal name="VC toom22_mul.349.16.0.0" proved="true"> - <proof prover="4"><result status="valid" time="0.34"/></proof> + <goal name="VC wmpn_toom22_mul.353.16.0.0" proved="true"> + <proof prover="4"><result status="valid" time="0.46"/></proof> </goal> - <goal name="VC toom22_mul.349.16.0.1" proved="true"> - <proof prover="4"><result status="valid" time="0.32"/></proof> + <goal name="VC wmpn_toom22_mul.353.16.0.1" proved="true"> + <proof prover="4"><result status="valid" time="0.52"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.349.16.1" proved="true"> + <goal name="VC wmpn_toom22_mul.353.16.1" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.349.17" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.353.17" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.349.18" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.353.18" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.349.19" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.353.19" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="apply" proved="true" arg1="prod_compat_strict_r"> - <goal name="VC toom22_mul.349.19.0" proved="true"> - <proof prover="4"><result status="valid" time="0.48"/></proof> + <goal name="VC wmpn_toom22_mul.353.19.0" proved="true"> + <proof prover="4"><result status="valid" time="0.65"/></proof> </goal> - <goal name="VC toom22_mul.349.19.1" proved="true"> + <goal name="VC wmpn_toom22_mul.353.19.1" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.349.19.1.0" proved="true"> + <goal name="VC wmpn_toom22_mul.353.19.1.0" proved="true"> <proof prover="3"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom22_mul.349.19.1.1" proved="true"> - <proof prover="4"><result status="valid" time="0.36"/></proof> + <goal name="VC wmpn_toom22_mul.353.19.1.1" proved="true"> + <proof prover="4"><result status="valid" time="0.75"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom22_mul.349.20" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.353.20" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="1"><result status="valid" time="0.19"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.350" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.354" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.351" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.355" expl="postcondition" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.352" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.356" expl="integer overflow" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.353" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.357" expl="integer overflow" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.354" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.358" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.354.0" expl="precondition" proved="true"> - <proof prover="4"><result status="valid" time="0.30"/></proof> + <goal name="VC wmpn_toom22_mul.358.0" expl="precondition" proved="true"> + <proof prover="4"><result status="valid" time="0.31"/></proof> </goal> - <goal name="VC toom22_mul.354.1" expl="precondition" proved="true"> - <proof prover="4"><result status="valid" time="0.30"/></proof> + <goal name="VC wmpn_toom22_mul.358.1" expl="precondition" proved="true"> + <proof prover="4"><result status="valid" time="0.41"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.355" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.359" expl="assertion" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.355.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.359.0" expl="assertion" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.355.0.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.359.0.0" expl="assertion" proved="true"> <transf name="assert" proved="true" arg1="(pelts r = pelts vinf0)"> - <goal name="VC toom22_mul.355.0.0.0" proved="true"> + <goal name="VC wmpn_toom22_mul.359.0.0.0" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.355.0.0.1" expl="assertion" proved="true"> - <proof prover="4"><result status="valid" time="0.30"/></proof> + <goal name="VC wmpn_toom22_mul.359.0.0.1" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.38"/></proof> </goal> </transf> </goal> @@ -3403,44 +3415,44 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.356" expl="assertion" proved="true"> - <proof prover="0"><result status="valid" time="1.14"/></proof> + <goal name="VC wmpn_toom22_mul.360" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="1.84"/></proof> </goal> - <goal name="VC toom22_mul.357" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.361" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.357.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.361.0" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.357.1" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.361.1" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.357.2" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.361.2" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.357.3" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.361.3" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.357.4" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.361.4" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.357.5" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.361.5" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3" memlimit="2000"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom22_mul.357.6" expl="VC for toom22_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.28"/></proof> + <goal name="VC wmpn_toom22_mul.361.6" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.67"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.358" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.362" expl="integer overflow" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.358.0" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.362.0" expl="integer overflow" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.358.0.0" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.362.0.0" expl="integer overflow" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.358.0.0.0" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.362.0.0.0" expl="integer overflow" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.358.0.0.1" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.362.0.0.1" expl="integer overflow" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> </transf> @@ -3449,29 +3461,29 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.359" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.363" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.359.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.363.0" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.359.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.363.0.0" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.359.0.0.0" expl="precondition" proved="true"> - <proof prover="4"><result status="valid" time="0.29"/></proof> + <goal name="VC wmpn_toom22_mul.363.0.0.0" expl="precondition" proved="true"> + <proof prover="4"><result status="valid" time="0.63"/></proof> </goal> - <goal name="VC toom22_mul.359.0.0.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.363.0.0.1" expl="precondition" proved="true"> <proof prover="3" memlimit="2000"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.359.0.0.2" expl="precondition" proved="true"> - <proof prover="0"><result status="valid" time="2.88"/></proof> + <goal name="VC wmpn_toom22_mul.363.0.0.2" expl="precondition" proved="true"> + <proof prover="0"><result status="valid" time="5.60"/></proof> </goal> - <goal name="VC toom22_mul.359.0.0.3" expl="precondition" proved="true"> - <proof prover="4"><result status="valid" time="0.32"/></proof> + <goal name="VC wmpn_toom22_mul.363.0.0.3" expl="precondition" proved="true"> + <proof prover="4"><result status="valid" time="0.58"/></proof> </goal> - <goal name="VC toom22_mul.359.0.0.4" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="2.07"/></proof> + <goal name="VC wmpn_toom22_mul.363.0.0.4" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="1.76"/></proof> </goal> - <goal name="VC toom22_mul.359.0.0.5" expl="precondition" proved="true"> - <proof prover="4" memlimit="1000"><result status="valid" time="0.29"/></proof> + <goal name="VC wmpn_toom22_mul.363.0.0.5" expl="precondition" proved="true"> + <proof prover="4" memlimit="1000"><result status="valid" time="0.36"/></proof> </goal> </transf> </goal> @@ -3479,39 +3491,39 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.360" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.364" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.361" expl="precondition" proved="true"> - <proof prover="0"><result status="valid" time="1.14"/></proof> + <goal name="VC wmpn_toom22_mul.365" expl="precondition" proved="true"> + <proof prover="0"><result status="valid" time="1.58"/></proof> </goal> - <goal name="VC toom22_mul.362" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.366" expl="integer overflow" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.363" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.367" expl="integer overflow" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.364" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.368" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.364.0" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.13"/></proof> + <goal name="VC wmpn_toom22_mul.368.0" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.26"/></proof> </goal> - <goal name="VC toom22_mul.364.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.368.1" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.23"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.365" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.369" expl="assertion" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.365.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.369.0" expl="assertion" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.365.0.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.369.0.0" expl="assertion" proved="true"> <transf name="assert" proved="true" arg1="(pelts r = pelts vinf0)"> - <goal name="VC toom22_mul.365.0.0.0" proved="true"> + <goal name="VC wmpn_toom22_mul.369.0.0.0" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.365.0.0.1" expl="assertion" proved="true"> - <proof prover="4"><result status="valid" time="0.39"/></proof> + <goal name="VC wmpn_toom22_mul.369.0.0.1" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.38"/></proof> </goal> </transf> </goal> @@ -3519,29 +3531,29 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.366" expl="assertion" proved="true"> - <proof prover="0"><result status="valid" time="1.04"/></proof> + <goal name="VC wmpn_toom22_mul.370" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="1.61"/></proof> </goal> - <goal name="VC toom22_mul.367" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.371" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.367.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.371.0" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.16"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.368" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.372" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.368.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.372.0" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.368.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.372.0.0" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.368.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.372.0.0.0" expl="precondition" proved="true"> <transf name="subst" proved="true" arg1="o1"> - <goal name="VC toom22_mul.368.0.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.372.0.0.0.0" expl="precondition" proved="true"> <transf name="subst" proved="true" arg1="o"> - <goal name="VC toom22_mul.368.0.0.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.372.0.0.0.0.0" expl="precondition" proved="true"> <transf name="apply" proved="true" arg1="H2"> - <goal name="VC toom22_mul.368.0.0.0.0.0.0" proved="true"> + <goal name="VC wmpn_toom22_mul.372.0.0.0.0.0.0" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> </transf> @@ -3556,76 +3568,76 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.369" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.373" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.369.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.373.0" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.369.1" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.373.1" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.369.2" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.373.2" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.369.3" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.373.3" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.369.4" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.373.4" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.369.5" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.373.5" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.369.6" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.373.6" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="1"><result status="valid" time="0.24"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.370" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.374" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.370.0" expl="assertion" proved="true"> - <proof prover="1"><result status="valid" time="0.14"/></proof> + <goal name="VC wmpn_toom22_mul.374.0" expl="assertion" proved="true"> + <proof prover="1"><result status="valid" time="0.28"/></proof> </goal> - <goal name="VC toom22_mul.370.1" expl="assertion" proved="true"> - <proof prover="1"><result status="valid" time="0.14"/></proof> + <goal name="VC wmpn_toom22_mul.374.1" expl="assertion" proved="true"> + <proof prover="1"><result status="valid" time="0.29"/></proof> </goal> - <goal name="VC toom22_mul.370.2" expl="VC for toom22_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.13"/></proof> + <goal name="VC wmpn_toom22_mul.374.2" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="1"><result status="valid" time="0.26"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.371" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.375" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.20"/></proof> </goal> - <goal name="VC toom22_mul.372" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.376" expl="integer overflow" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.373" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.15"/></proof> + <goal name="VC wmpn_toom22_mul.377" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.29"/></proof> </goal> - <goal name="VC toom22_mul.374" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.378" expl="assertion" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.374.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.378.0" expl="assertion" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.374.0.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.378.0.0" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.374.0.0.0" expl="assertion" proved="true"> - <proof prover="4"><result status="valid" time="0.37"/></proof> + <goal name="VC wmpn_toom22_mul.378.0.0.0" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.66"/></proof> </goal> - <goal name="VC toom22_mul.374.0.0.1" expl="assertion" proved="true"> - <proof prover="4"><result status="valid" time="0.35"/></proof> + <goal name="VC wmpn_toom22_mul.378.0.0.1" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.41"/></proof> </goal> - <goal name="VC toom22_mul.374.0.0.2" expl="assertion" proved="true"> - <proof prover="4" memlimit="1000"><result status="valid" time="0.37"/></proof> + <goal name="VC wmpn_toom22_mul.378.0.0.2" expl="assertion" proved="true"> + <proof prover="4" memlimit="1000"><result status="valid" time="0.56"/></proof> </goal> - <goal name="VC toom22_mul.374.0.0.3" expl="assertion" proved="true"> - <proof prover="4"><result status="valid" time="0.42"/></proof> + <goal name="VC wmpn_toom22_mul.378.0.0.3" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.58"/></proof> </goal> - <goal name="VC toom22_mul.374.0.0.4" expl="assertion" proved="true"> - <proof prover="4" memlimit="1000"><result status="valid" time="0.40"/></proof> + <goal name="VC wmpn_toom22_mul.378.0.0.4" expl="assertion" proved="true"> + <proof prover="4" memlimit="1000"><result status="valid" time="0.60"/></proof> </goal> - <goal name="VC toom22_mul.374.0.0.5" expl="assertion" proved="true"> - <proof prover="4"><result status="valid" time="0.37"/></proof> + <goal name="VC wmpn_toom22_mul.378.0.0.5" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.66"/></proof> </goal> </transf> </goal> @@ -3633,151 +3645,151 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.375" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.379" expl="integer overflow" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.376" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.380" expl="integer overflow" proved="true"> <transf name="split_all_full" proved="true" > - <goal name="VC toom22_mul.376.0" expl="integer overflow" proved="true"> - <proof prover="3" timelimit="10" memlimit="4000"><result status="valid" time="10.31"/></proof> + <goal name="VC wmpn_toom22_mul.380.0" expl="integer overflow" proved="true"> + <proof prover="3" timelimit="10" memlimit="4000"><result status="valid" time="11.77"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.377" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.381" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.377.0" expl="precondition" proved="true"> - <proof prover="4"><result status="valid" time="0.38"/></proof> + <goal name="VC wmpn_toom22_mul.381.0" expl="precondition" proved="true"> + <proof prover="4"><result status="valid" time="0.70"/></proof> </goal> - <goal name="VC toom22_mul.377.1" expl="precondition" proved="true"> - <proof prover="4"><result status="valid" time="0.38"/></proof> + <goal name="VC wmpn_toom22_mul.381.1" expl="precondition" proved="true"> + <proof prover="4"><result status="valid" time="0.74"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.378" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.382" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.378.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.382.0" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.378.1" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.382.1" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="1"><result status="valid" time="0.23"/></proof> </goal> - <goal name="VC toom22_mul.378.2" expl="VC for toom22_mul" proved="true"> - <proof prover="3" memlimit="2000"><result status="valid" time="2.47"/></proof> + <goal name="VC wmpn_toom22_mul.382.2" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="3" memlimit="2000"><result status="valid" time="3.66"/></proof> </goal> - <goal name="VC toom22_mul.378.3" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.382.3" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.379" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.383" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom22_mul.380" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.384" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.380.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.384.0" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.380.1" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.384.1" expl="assertion" proved="true"> <transf name="rewrite" proved="true" arg1="<-" arg2="Power_sum"> - <goal name="VC toom22_mul.380.1.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.384.1.0" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.380.1.1" proved="true"> + <goal name="VC wmpn_toom22_mul.384.1.1" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.380.1.2" proved="true"> + <goal name="VC wmpn_toom22_mul.384.1.2" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.380.2" expl="assertion" proved="true"> - <proof prover="0" memlimit="1000"><result status="valid" time="0.45"/></proof> + <goal name="VC wmpn_toom22_mul.384.2" expl="assertion" proved="true"> + <proof prover="0" memlimit="1000"><result status="valid" time="0.88"/></proof> </goal> - <goal name="VC toom22_mul.380.3" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.384.3" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> - <proof prover="1"><result status="valid" time="0.13"/></proof> + <proof prover="1"><result status="valid" time="0.26"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.381" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.385" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.381.0" expl="assertion" proved="true"> - <proof prover="1"><result status="valid" time="0.14"/></proof> + <goal name="VC wmpn_toom22_mul.385.0" expl="assertion" proved="true"> + <proof prover="1"><result status="valid" time="0.28"/></proof> </goal> - <goal name="VC toom22_mul.381.1" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.385.1" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.382" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.386" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.382.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.386.0" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.382.1" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.386.1" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.382.2" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.386.2" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.382.3" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.386.3" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.383" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.387" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.383.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.387.0" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.383.1" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.387.1" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.383.2" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.387.2" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.383.3" expl="assertion" proved="true"> - <proof prover="0" memlimit="1000"><result status="valid" time="0.22"/></proof> + <goal name="VC wmpn_toom22_mul.387.3" expl="assertion" proved="true"> + <proof prover="0" memlimit="1000"><result status="valid" time="0.37"/></proof> </goal> - <goal name="VC toom22_mul.383.4" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.387.4" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom22_mul.383.5" expl="VC for toom22_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.40"/></proof> + <goal name="VC wmpn_toom22_mul.387.5" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.69"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.384" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.388" expl="integer overflow" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.385" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.389" expl="integer overflow" proved="true"> <proof prover="0"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul.386" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.390" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.386.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.390.0" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.386.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.390.0.0" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.386.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.390.0.0.0" expl="precondition" proved="true"> <proof prover="0"><result status="valid" time="0.06"/></proof> - <proof prover="4"><result status="valid" time="0.41"/></proof> + <proof prover="4"><result status="valid" time="0.65"/></proof> </goal> - <goal name="VC toom22_mul.386.0.0.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.390.0.0.1" expl="precondition" proved="true"> <proof prover="0" memlimit="1000"><result status="valid" time="0.05"/></proof> <proof prover="1"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom22_mul.386.0.0.2" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.390.0.0.2" expl="precondition" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.386.0.0.3" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.390.0.0.3" expl="precondition" proved="true"> <proof prover="0"><result status="valid" time="0.08"/></proof> <proof prover="1"><result status="valid" time="0.26"/></proof> </goal> - <goal name="VC toom22_mul.386.0.0.4" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.390.0.0.4" expl="precondition" proved="true"> <proof prover="0" memlimit="1000"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul.386.0.0.5" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.390.0.0.5" expl="precondition" proved="true"> <proof prover="0" memlimit="1000"><result status="valid" time="0.06"/></proof> </goal> </transf> @@ -3786,64 +3798,64 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.387" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.391" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.388" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.392" expl="precondition" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.389" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.393" expl="integer overflow" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.390" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.394" expl="integer overflow" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.390.0" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.394.0" expl="integer overflow" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.390.0.0" expl="integer overflow" proved="true"> - <proof prover="1"><result status="valid" time="0.14"/></proof> + <goal name="VC wmpn_toom22_mul.394.0.0" expl="integer overflow" proved="true"> + <proof prover="1"><result status="valid" time="0.15"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom22_mul.391" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.395" expl="precondition" proved="true"> <proof prover="1" memlimit="2000"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom22_mul.392" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.396" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.392.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.396.0" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.392.1" expl="VC for toom22_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.16"/></proof> + <goal name="VC wmpn_toom22_mul.396.1" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="1"><result status="valid" time="0.29"/></proof> </goal> - <goal name="VC toom22_mul.392.2" expl="VC for toom22_mul" proved="true"> - <proof prover="3" memlimit="2000"><result status="valid" time="4.50"/></proof> + <goal name="VC wmpn_toom22_mul.396.2" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="3" memlimit="2000"><result status="valid" time="5.90"/></proof> </goal> - <goal name="VC toom22_mul.392.3" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.396.3" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.06"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.393" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.397" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom22_mul.394" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.398" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul.395" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.399" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.395.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.399.0" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.395.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.399.0.0" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.395.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.399.0.0.0" expl="precondition" proved="true"> <transf name="subst" proved="true" arg1="o1"> - <goal name="VC toom22_mul.395.0.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.399.0.0.0.0" expl="precondition" proved="true"> <transf name="subst" proved="true" arg1="o"> - <goal name="VC toom22_mul.395.0.0.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.399.0.0.0.0.0" expl="precondition" proved="true"> <transf name="apply" proved="true" arg1="H2"> - <goal name="VC toom22_mul.395.0.0.0.0.0.0" proved="true"> + <goal name="VC wmpn_toom22_mul.399.0.0.0.0.0.0" proved="true"> <proof prover="1" memlimit="2000"><result status="valid" time="0.18"/></proof> </goal> </transf> @@ -3858,81 +3870,81 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.396" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.400" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.396.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.400.0" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.396.1" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.400.1" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.396.2" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.400.2" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.396.3" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.400.3" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.396.4" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.400.4" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.396.5" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.400.5" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC toom22_mul.396.6" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.400.6" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.396.7" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.400.7" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="1"><result status="valid" time="0.27"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.397" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.05"/></proof> + <goal name="VC wmpn_toom22_mul.401" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="0.07"/></proof> </goal> - <goal name="VC toom22_mul.398" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.402" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.16"/></proof> </goal> - <goal name="VC toom22_mul.399" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.403" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.07"/></proof> </goal> - <goal name="VC toom22_mul.400" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.13"/></proof> + <goal name="VC wmpn_toom22_mul.404" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.14"/></proof> </goal> - <goal name="VC toom22_mul.401" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.405" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.401.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.405.0" expl="assertion" proved="true"> <transf name="apply" proved="true" arg1="H2"> - <goal name="VC toom22_mul.401.0.0" proved="true"> - <proof prover="4"><result status="valid" time="0.44"/></proof> + <goal name="VC wmpn_toom22_mul.405.0.0" proved="true"> + <proof prover="4"><result status="valid" time="0.40"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.401.1" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.405.1" expl="assertion" proved="true"> <transf name="apply" proved="true" arg1="H11"> - <goal name="VC toom22_mul.401.1.0" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="0.25"/></proof> + <goal name="VC wmpn_toom22_mul.405.1.0" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.17"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.401.2" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.405.2" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.07"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.402" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.406" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.402.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.406.0" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.402.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.406.0.0" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.402.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.406.0.0.0" expl="precondition" proved="true"> <transf name="subst" proved="true" arg1="o1"> - <goal name="VC toom22_mul.402.0.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.406.0.0.0.0" expl="precondition" proved="true"> <transf name="subst" proved="true" arg1="o"> - <goal name="VC toom22_mul.402.0.0.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.406.0.0.0.0.0" expl="precondition" proved="true"> <transf name="apply" proved="true" arg1="H2"> - <goal name="VC toom22_mul.402.0.0.0.0.0.0" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="0.07"/></proof> + <goal name="VC wmpn_toom22_mul.406.0.0.0.0.0.0" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="0.18"/></proof> </goal> </transf> </goal> @@ -3946,117 +3958,132 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.403" expl="assertion" proved="true"> - <proof prover="0"><result status="valid" time="0.04"/></proof> + <goal name="VC wmpn_toom22_mul.407" expl="assertion" proved="true"> + <transf name="split_vc" proved="true" > + <goal name="VC wmpn_toom22_mul.407.0" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.06"/></proof> + </goal> + </transf> </goal> - <goal name="VC toom22_mul.404" expl="precondition" proved="true"> - <proof prover="0"><result status="valid" time="0.10"/></proof> + <goal name="VC wmpn_toom22_mul.408" expl="precondition" proved="true"> + <transf name="introduce_premises" proved="true" > + <goal name="VC wmpn_toom22_mul.408.0" expl="precondition" proved="true"> + <transf name="inline_goal" proved="true" > + <goal name="VC wmpn_toom22_mul.408.0.0" expl="precondition" proved="true"> + <proof prover="0"><result status="valid" time="0.02"/></proof> + </goal> + </transf> + </goal> + </transf> </goal> - <goal name="VC toom22_mul.405" expl="precondition" proved="true"> - <proof prover="0"><result status="valid" time="0.04"/></proof> + <goal name="VC wmpn_toom22_mul.409" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.23"/></proof> </goal> - <goal name="VC toom22_mul.406" expl="postcondition" proved="true"> - <proof prover="3"><result status="valid" time="0.06"/></proof> + <goal name="VC wmpn_toom22_mul.410" expl="postcondition" proved="true"> + <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.407" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.411" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.408" expl="postcondition" proved="true"> - <proof prover="0"><result status="valid" time="0.04"/></proof> + <goal name="VC wmpn_toom22_mul.412" expl="postcondition" proved="true"> + <proof prover="0"><result status="valid" time="0.07"/></proof> </goal> - <goal name="VC toom22_mul.409" expl="postcondition" proved="true"> - <proof prover="3"><result status="valid" time="0.03"/></proof> + <goal name="VC wmpn_toom22_mul.413" expl="postcondition" proved="true"> + <proof prover="3"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul.410" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.414" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.411" expl="postcondition" proved="true"> - <proof prover="3"><result status="valid" time="0.02"/></proof> + <goal name="VC wmpn_toom22_mul.415" expl="postcondition" proved="true"> + <proof prover="3"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom22_mul.412" expl="postcondition" proved="true"> - <proof prover="1"><result status="valid" time="0.16"/></proof> + <goal name="VC wmpn_toom22_mul.416" expl="postcondition" proved="true"> + <proof prover="1"><result status="valid" time="0.28"/></proof> </goal> - <goal name="VC toom22_mul.413" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.417" expl="postcondition" proved="true"> <transf name="case" proved="true" arg1="(j < offset r)"> - <goal name="VC toom22_mul.413.0" expl="true case (postcondition)" proved="true"> - <proof prover="0"><result status="valid" time="2.35"/></proof> + <goal name="VC wmpn_toom22_mul.417.0" expl="true case (postcondition)" proved="true"> + <proof prover="0"><result status="valid" time="4.60"/></proof> </goal> - <goal name="VC toom22_mul.413.1" expl="false case (postcondition)" proved="true"> - <proof prover="0"><result status="valid" time="0.97"/></proof> + <goal name="VC wmpn_toom22_mul.417.1" expl="false case (postcondition)" proved="true"> + <proof prover="0"><result status="valid" time="1.58"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.414" expl="postcondition" proved="true"> - <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.414.0" expl="postcondition" proved="true"> - <proof prover="0"><result status="valid" time="0.06"/></proof> + <goal name="VC wmpn_toom22_mul.418" expl="postcondition" proved="true"> + <transf name="case" proved="true" arg1="(j < offset r)"> + <goal name="VC wmpn_toom22_mul.418.0" expl="true case (postcondition)" proved="true"> + <proof prover="0"><result status="valid" time="0.08"/></proof> + </goal> + <goal name="VC wmpn_toom22_mul.418.1" expl="false case (postcondition)" proved="true"> + <proof prover="0"><result status="valid" time="0.09"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.415" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.419" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.416" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.420" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.416.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.420.0" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.416.1" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.420.1" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="1"><result status="valid" time="0.24"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.417" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.421" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.418" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.422" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.418.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.422.0" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.418.1" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.422.1" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.418.2" expl="VC for toom22_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.40"/></proof> + <goal name="VC wmpn_toom22_mul.422.2" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.74"/></proof> </goal> - <goal name="VC toom22_mul.418.3" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.422.3" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.418.4" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.422.4" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.418.5" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.422.5" expl="VC for wmpn_toom22_mul" proved="true"> <transf name="unfold" proved="true" arg1="value"> - <goal name="VC toom22_mul.418.5.0" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.422.5.0" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.418.6" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.422.6" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.418.7" expl="VC for toom22_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.46"/></proof> + <goal name="VC wmpn_toom22_mul.422.7" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.77"/></proof> </goal> - <goal name="VC toom22_mul.418.8" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.422.8" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.419" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.423" expl="integer overflow" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.420" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.424" expl="integer overflow" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.420.0" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.424.0" expl="integer overflow" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.420.0.0" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.424.0.0" expl="integer overflow" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.420.0.0.0" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.424.0.0.0" expl="integer overflow" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.420.0.0.1" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.424.0.0.1" expl="integer overflow" proved="true"> <proof prover="3"><result status="valid" time="0.06"/></proof> </goal> </transf> @@ -4065,28 +4092,28 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.421" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.425" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.421.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.425.0" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.421.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.425.0.0" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.421.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.425.0.0.0" expl="precondition" proved="true"> <proof prover="0"><result status="valid" time="0.09"/></proof> </goal> - <goal name="VC toom22_mul.421.0.0.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.425.0.0.1" expl="precondition" proved="true"> <proof prover="0" memlimit="1000"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom22_mul.421.0.0.2" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.425.0.0.2" expl="precondition" proved="true"> <proof prover="0"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul.421.0.0.3" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.425.0.0.3" expl="precondition" proved="true"> <proof prover="0"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul.421.0.0.4" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.425.0.0.4" expl="precondition" proved="true"> <proof prover="0" memlimit="1000"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul.421.0.0.5" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.425.0.0.5" expl="precondition" proved="true"> <proof prover="0" memlimit="1000"><result status="valid" time="0.06"/></proof> </goal> </transf> @@ -4095,71 +4122,71 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.422" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.426" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.423" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.427" expl="precondition" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.424" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.428" expl="integer overflow" proved="true"> <transf name="split_all_full" proved="true" > - <goal name="VC toom22_mul.424.0" expl="integer overflow" proved="true"> - <proof prover="3" timelimit="10" memlimit="4000"><result status="valid" time="3.99"/></proof> + <goal name="VC wmpn_toom22_mul.428.0" expl="integer overflow" proved="true"> + <proof prover="3" timelimit="10" memlimit="4000"><result status="valid" time="4.46"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.425" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul.429" expl="integer overflow" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.426" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.430" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.426.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.430.0" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom22_mul.426.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.430.1" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.24"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.427" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.431" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.427.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.431.0" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.427.1" expl="VC for toom22_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.15"/></proof> + <goal name="VC wmpn_toom22_mul.431.1" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="1"><result status="valid" time="0.30"/></proof> </goal> - <goal name="VC toom22_mul.427.2" expl="VC for toom22_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.56"/></proof> + <goal name="VC wmpn_toom22_mul.431.2" expl="VC for wmpn_toom22_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.88"/></proof> </goal> - <goal name="VC toom22_mul.427.3" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.431.3" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.06"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.428" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.432" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul.429" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.433" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.429.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.433.0" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.06"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.430" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.434" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.430.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.434.0" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.430.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.434.0.0" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.430.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.434.0.0.0" expl="precondition" proved="true"> <transf name="subst" proved="true" arg1="o1"> - <goal name="VC toom22_mul.430.0.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.434.0.0.0.0" expl="precondition" proved="true"> <transf name="subst" proved="true" arg1="o"> - <goal name="VC toom22_mul.430.0.0.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.434.0.0.0.0.0" expl="precondition" proved="true"> <transf name="apply" proved="true" arg1="H2"> - <goal name="VC toom22_mul.430.0.0.0.0.0.0" proved="true"> + <goal name="VC wmpn_toom22_mul.434.0.0.0.0.0.0" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> </transf> @@ -4174,72 +4201,72 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.431" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.435" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.431.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.435.0" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.431.1" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.435.1" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.431.2" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.435.2" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul.431.3" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.435.3" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.431.4" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.435.4" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.431.5" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.435.5" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.431.6" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.435.6" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.431.7" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.435.7" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="1"><result status="valid" time="0.27"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.432" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.07"/></proof> + <goal name="VC wmpn_toom22_mul.436" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom22_mul.433" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.15"/></proof> + <goal name="VC wmpn_toom22_mul.437" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.30"/></proof> </goal> - <goal name="VC toom22_mul.434" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.438" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.435" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.27"/></proof> + <goal name="VC wmpn_toom22_mul.439" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.26"/></proof> </goal> - <goal name="VC toom22_mul.436" expl="assertion" proved="true"> + <goal name="VC wmpn_toom22_mul.440" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.436.0" expl="assertion" proved="true"> - <proof prover="4"><result status="valid" time="0.56"/></proof> + <goal name="VC wmpn_toom22_mul.440.0" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.54"/></proof> </goal> - <goal name="VC toom22_mul.436.1" expl="assertion" proved="true"> - <proof prover="4"><result status="valid" time="0.43"/></proof> + <goal name="VC wmpn_toom22_mul.440.1" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.78"/></proof> </goal> - <goal name="VC toom22_mul.436.2" expl="VC for toom22_mul" proved="true"> + <goal name="VC wmpn_toom22_mul.440.2" expl="VC for wmpn_toom22_mul" proved="true"> <proof prover="3"><result status="valid" time="0.05"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.437" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.441" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.437.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.441.0" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.437.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.441.0.0" expl="precondition" proved="true"> <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.437.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.441.0.0.0" expl="precondition" proved="true"> <transf name="subst" proved="true" arg1="o1"> - <goal name="VC toom22_mul.437.0.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.441.0.0.0.0" expl="precondition" proved="true"> <transf name="subst" proved="true" arg1="o"> - <goal name="VC toom22_mul.437.0.0.0.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul.441.0.0.0.0.0" expl="precondition" proved="true"> <transf name="apply" proved="true" arg1="H2"> - <goal name="VC toom22_mul.437.0.0.0.0.0.0" proved="true"> + <goal name="VC wmpn_toom22_mul.441.0.0.0.0.0.0" proved="true"> <proof prover="1" memlimit="2000"><result status="valid" time="0.07"/></proof> </goal> </transf> @@ -4254,2237 +4281,2276 @@ </goal> </transf> </goal> - <goal name="VC toom22_mul.438" expl="assertion" proved="true"> - <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul.438.0" expl="assertion" proved="true"> - <proof prover="0"><result status="valid" time="0.06"/></proof> - </goal> - </transf> + <goal name="VC wmpn_toom22_mul.442" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.439" expl="precondition" proved="true"> - <transf name="introduce_premises" proved="true" > - <goal name="VC toom22_mul.439.0" expl="precondition" proved="true"> - <transf name="inline_goal" proved="true" > - <goal name="VC toom22_mul.439.0.0" expl="precondition" proved="true"> - <proof prover="0"><result status="valid" time="0.02"/></proof> - </goal> - </transf> - </goal> - </transf> + <goal name="VC wmpn_toom22_mul.443" expl="precondition" proved="true"> + <proof prover="0"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom22_mul.440" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.23"/></proof> + <goal name="VC wmpn_toom22_mul.444" expl="precondition" proved="true"> + <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.441" expl="postcondition" proved="true"> - <proof prover="3"><result status="valid" time="0.03"/></proof> + <goal name="VC wmpn_toom22_mul.445" expl="postcondition" proved="true"> + <proof prover="3"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul.442" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.446" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.443" expl="postcondition" proved="true"> - <proof prover="0"><result status="valid" time="0.07"/></proof> + <goal name="VC wmpn_toom22_mul.447" expl="postcondition" proved="true"> + <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul.444" expl="postcondition" proved="true"> - <proof prover="3"><result status="valid" time="0.06"/></proof> + <goal name="VC wmpn_toom22_mul.448" expl="postcondition" proved="true"> + <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul.445" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.449" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom22_mul.446" expl="postcondition" proved="true"> - <proof prover="3"><result status="valid" time="0.08"/></proof> + <goal name="VC wmpn_toom22_mul.450" expl="postcondition" proved="true"> + <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul.447" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.451" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.25"/></proof> </goal> - <goal name="VC toom22_mul.448" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul.452" expl="postcondition" proved="true"> <transf name="case" proved="true" arg1="(j < offset r)"> - <goal name="VC toom22_mul.448.0" expl="true case (postcondition)" proved="true"> - <proof prover="0"><result status="valid" time="3.52"/></proof> + <goal name="VC wmpn_toom22_mul.452.0" expl="true case (postcondition)" proved="true"> + <proof prover="0"><result status="valid" time="6.80"/></proof> </goal> - <goal name="VC toom22_mul.448.1" expl="false case (postcondition)" proved="true"> - <proof prover="0"><result status="valid" time="0.94"/></proof> + <goal name="VC wmpn_toom22_mul.452.1" expl="false case (postcondition)" proved="true"> + <proof prover="0"><result status="valid" time="1.42"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul.449" expl="postcondition" proved="true"> - <transf name="case" proved="true" arg1="(j < offset r)"> - <goal name="VC toom22_mul.449.0" expl="true case (postcondition)" proved="true"> - <proof prover="0"><result status="valid" time="0.08"/></proof> - </goal> - <goal name="VC toom22_mul.449.1" expl="false case (postcondition)" proved="true"> - <proof prover="0"><result status="valid" time="0.09"/></proof> + <goal name="VC wmpn_toom22_mul.453" expl="postcondition" proved="true"> + <transf name="split_vc" proved="true" > + <goal name="VC wmpn_toom22_mul.453.0" expl="postcondition" proved="true"> + <proof prover="0"><result status="valid" time="0.06"/></proof> </goal> </transf> </goal> + <goal name="VC wmpn_toom22_mul.454" expl="exceptional postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> + </goal> </transf> </goal> - <goal name="VC toom22_mul_rec" expl="VC for toom22_mul_rec" proved="true"> + <goal name="VC wmpn_toom22_mul_rec" expl="VC for wmpn_toom22_mul_rec" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul_rec.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.0" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul_rec.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.1" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul_rec.2" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.2" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul_rec.3" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.3" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul_rec.4" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.4" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul_rec.5" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.5" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul_rec.6" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.6" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul_rec.7" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.7" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul_rec.8" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.8" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul_rec.9" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.9" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul_rec.10" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.10" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul_rec.11" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.11" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul_rec.12" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.12" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul_rec.13" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.13" expl="integer overflow" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul_rec.14" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.14" expl="integer overflow" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul_rec.15" expl="variant decrease" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.15" expl="variant decrease" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul_rec.16" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.16" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul_rec.17" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.17" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul_rec.18" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.18" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul_rec.19" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.19" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul_rec.20" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.18"/></proof> + <goal name="VC wmpn_toom22_mul_rec.20" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom22_mul_rec.21" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.04"/></proof> + <goal name="VC wmpn_toom22_mul_rec.21" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul_rec.22" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.01"/></proof> + <goal name="VC wmpn_toom22_mul_rec.22" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul_rec.23" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.02"/></proof> + <goal name="VC wmpn_toom22_mul_rec.23" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul_rec.24" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.24" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul_rec.25" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.25" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul_rec.26" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.26" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul_rec.27" expl="postcondition" proved="true"> - <proof prover="3"><result status="valid" time="0.04"/></proof> - </goal> - <goal name="VC toom22_mul_rec.28" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.27" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul_rec.29" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.28" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul_rec.30" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.29" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul_rec.31" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.30" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul_rec.32" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.31" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul_rec.33" expl="postcondition" proved="true"> - <proof prover="3"><result status="valid" time="0.01"/></proof> + <goal name="VC wmpn_toom22_mul_rec.32" expl="postcondition" proved="true"> + <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul_rec.34" expl="postcondition" proved="true"> - <proof prover="3"><result status="valid" time="0.01"/></proof> + <goal name="VC wmpn_toom22_mul_rec.33" expl="postcondition" proved="true"> + <proof prover="3"><result status="valid" time="0.02"/></proof> + </goal> + <goal name="VC wmpn_toom22_mul_rec.34" expl="postcondition" proved="true"> + <proof prover="3"><result status="valid" time="0.00"/></proof> + </goal> + <goal name="VC wmpn_toom22_mul_rec.35" expl="exceptional postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.07"/></proof> </goal> - <goal name="VC toom22_mul_rec.35" expl="variant decrease" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.36" expl="variant decrease" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom22_mul_rec.36" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.37" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul_rec.37" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.38" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul_rec.38" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.39" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul_rec.39" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.40" expl="precondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul_rec.40" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> + <goal name="VC wmpn_toom22_mul_rec.41" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="0.32"/></proof> </goal> - <goal name="VC toom22_mul_rec.41" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.02"/></proof> + <goal name="VC wmpn_toom22_mul_rec.42" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul_rec.42" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.04"/></proof> + <goal name="VC wmpn_toom22_mul_rec.43" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul_rec.43" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.04"/></proof> + <goal name="VC wmpn_toom22_mul_rec.44" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul_rec.44" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.45" expl="precondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul_rec.45" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.46" expl="precondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom22_mul_rec.46" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.47" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul_rec.47" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.48" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul_rec.48" expl="postcondition" proved="true"> - <proof prover="3"><result status="valid" time="0.01"/></proof> + <goal name="VC wmpn_toom22_mul_rec.49" expl="postcondition" proved="true"> + <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul_rec.49" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.50" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul_rec.50" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.51" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul_rec.51" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_rec.52" expl="postcondition" proved="true"> + <proof prover="3"><result status="valid" time="0.01"/></proof> + </goal> + <goal name="VC wmpn_toom22_mul_rec.53" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul_rec.52" expl="postcondition" proved="true"> - <proof prover="3"><result status="valid" time="0.02"/></proof> + <goal name="VC wmpn_toom22_mul_rec.54" expl="postcondition" proved="true"> + <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul_rec.53" expl="postcondition" proved="true"> - <proof prover="3"><result status="valid" time="0.02"/></proof> + <goal name="VC wmpn_toom22_mul_rec.55" expl="postcondition" proved="true"> + <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul_rec.54" expl="postcondition" proved="true"> - <proof prover="3"><result status="valid" time="0.00"/></proof> + <goal name="VC wmpn_toom22_mul_rec.56" expl="exceptional postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> </goal> </transf> </goal> - <goal name="VC toom22_mul_n_rec" expl="VC for toom22_mul_n_rec" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec" expl="VC for wmpn_toom22_mul_n_rec" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom22_mul_n_rec.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.0" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul_n_rec.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.1" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul_n_rec.2" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.2" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul_n_rec.3" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.3" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul_n_rec.4" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.4" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul_n_rec.5" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.5" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul_n_rec.6" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.6" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul_n_rec.7" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.7" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul_n_rec.8" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.8" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul_n_rec.9" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.9" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul_n_rec.10" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.10" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul_n_rec.11" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.11" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul_n_rec.12" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.12" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> <transf name="split_vc" proved="true" > </transf> </goal> - <goal name="VC toom22_mul_n_rec.13" expl="variant decrease" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.13" expl="variant decrease" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul_n_rec.14" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.14" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul_n_rec.15" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.15" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul_n_rec.16" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.16" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul_n_rec.17" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.17" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul_n_rec.18" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.18" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.30"/></proof> </goal> - <goal name="VC toom22_mul_n_rec.19" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.19" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul_n_rec.20" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.20" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul_n_rec.21" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.21" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul_n_rec.22" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.22" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul_n_rec.23" expl="precondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.23" expl="precondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul_n_rec.24" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.24" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul_n_rec.25" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.25" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul_n_rec.26" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.26" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom22_mul_n_rec.27" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.27" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul_n_rec.28" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.28" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul_n_rec.29" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.29" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom22_mul_n_rec.30" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.30" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom22_mul_n_rec.31" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.31" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom22_mul_n_rec.32" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom22_mul_n_rec.32" expl="postcondition" proved="true"> <proof prover="3"><result status="valid" time="0.01"/></proof> </goal> + <goal name="VC wmpn_toom22_mul_n_rec.33" expl="exceptional postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.07"/></proof> + </goal> </transf> </goal> - <goal name="VC toom32_mul" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul" expl="VC for wmpn_toom32_mul" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.0" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom32_mul.0" expl="integer overflow" proved="true"> <proof prover="1"><result status="valid" time="0.13"/></proof> </goal> - <goal name="VC toom32_mul.1" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom32_mul.1" expl="integer overflow" proved="true"> <proof prover="1"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom32_mul.2" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom32_mul.2" expl="integer overflow" proved="true"> <proof prover="1"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom32_mul.3" expl="division by zero" proved="true"> + <goal name="VC wmpn_toom32_mul.3" expl="division by zero" proved="true"> <proof prover="1"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom32_mul.4" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom32_mul.4" expl="integer overflow" proved="true"> <proof prover="1"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC toom32_mul.5" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom32_mul.5" expl="integer overflow" proved="true"> <proof prover="1"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom32_mul.6" expl="division by zero" proved="true"> + <goal name="VC wmpn_toom32_mul.6" expl="division by zero" proved="true"> <proof prover="1"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom32_mul.7" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom32_mul.7" expl="integer overflow" proved="true"> <proof prover="1"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom32_mul.8" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom32_mul.8" expl="integer overflow" proved="true"> <proof prover="1"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom32_mul.9" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom32_mul.9" expl="integer overflow" proved="true"> <proof prover="1"><result status="valid" time="0.13"/></proof> </goal> - <goal name="VC toom32_mul.10" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom32_mul.10" expl="integer overflow" proved="true"> <proof prover="1"><result status="valid" time="0.14"/></proof> </goal> - <goal name="VC toom32_mul.11" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom32_mul.11" expl="integer overflow" proved="true"> <proof prover="1"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom32_mul.12" expl="assertion" proved="true"> - <proof prover="1"><result status="valid" time="0.41"/></proof> + <goal name="VC wmpn_toom32_mul.12" expl="assertion" proved="true"> + <proof prover="1"><result status="valid" time="0.46"/></proof> </goal> - <goal name="VC toom32_mul.13" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.13" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.48"/></proof> </goal> - <goal name="VC toom32_mul.14" expl="assertion" proved="true"> - <proof prover="1"><result status="valid" time="0.12"/></proof> + <goal name="VC wmpn_toom32_mul.14" expl="assertion" proved="true"> + <proof prover="1"><result status="valid" time="0.25"/></proof> </goal> - <goal name="VC toom32_mul.15" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.15" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.16" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.16" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom32_mul.17" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.17" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom32_mul.18" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom32_mul.18" expl="integer overflow" proved="true"> <proof prover="1"><result status="valid" time="0.15"/></proof> </goal> - <goal name="VC toom32_mul.19" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.19" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom32_mul.20" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.20" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.07"/></proof> </goal> - <goal name="VC toom32_mul.21" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.21" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC toom32_mul.22" expl="assertion" proved="true"> - <proof prover="5"><result status="valid" time="0.15" steps="114"/></proof> + <goal name="VC wmpn_toom32_mul.22" expl="assertion" proved="true"> + <proof prover="5"><result status="valid" time="0.15" steps="115"/></proof> </goal> - <goal name="VC toom32_mul.23" expl="assertion" proved="true"> - <proof prover="5"><result status="valid" time="0.77" steps="141"/></proof> + <goal name="VC wmpn_toom32_mul.23" expl="assertion" proved="true"> + <proof prover="5"><result status="valid" time="1.28" steps="142"/></proof> </goal> - <goal name="VC toom32_mul.24" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.24" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom32_mul.25" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.16"/></proof> + <goal name="VC wmpn_toom32_mul.25" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.15"/></proof> </goal> - <goal name="VC toom32_mul.26" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom32_mul.26" expl="integer overflow" proved="true"> <proof prover="1"><result status="valid" time="0.20"/></proof> </goal> - <goal name="VC toom32_mul.27" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.27" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.28" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.28" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.14"/></proof> </goal> - <goal name="VC toom32_mul.29" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.29" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.30" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.30" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.20"/></proof> </goal> - <goal name="VC toom32_mul.31" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom32_mul.31" expl="integer overflow" proved="true"> <proof prover="1"><result status="valid" time="0.15"/></proof> </goal> - <goal name="VC toom32_mul.32" expl="integer overflow" proved="true"> - <proof prover="1"><result status="valid" time="0.16"/></proof> + <goal name="VC wmpn_toom32_mul.32" expl="integer overflow" proved="true"> + <proof prover="1"><result status="valid" time="0.29"/></proof> </goal> - <goal name="VC toom32_mul.33" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.33" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom32_mul.34" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.34" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.18"/></proof> </goal> - <goal name="VC toom32_mul.35" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.35" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.14"/></proof> </goal> - <goal name="VC toom32_mul.36" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.36" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.09"/></proof> </goal> - <goal name="VC toom32_mul.37" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.37" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC toom32_mul.38" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.38" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.39" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.39" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.09"/></proof> </goal> - <goal name="VC toom32_mul.40" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.40" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.15"/></proof> </goal> - <goal name="VC toom32_mul.41" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.41" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.15"/></proof> </goal> - <goal name="VC toom32_mul.42" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.36"/></proof> + <goal name="VC wmpn_toom32_mul.42" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.60"/></proof> </goal> - <goal name="VC toom32_mul.43" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.53"/></proof> + <goal name="VC wmpn_toom32_mul.43" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.69"/></proof> </goal> - <goal name="VC toom32_mul.44" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.44" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.19"/></proof> </goal> - <goal name="VC toom32_mul.45" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.45" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.60"/></proof> </goal> - <goal name="VC toom32_mul.46" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.20"/></proof> + <goal name="VC wmpn_toom32_mul.46" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.23"/></proof> </goal> - <goal name="VC toom32_mul.47" expl="assertion" proved="true"> - <proof prover="1"><result status="valid" time="0.21"/></proof> + <goal name="VC wmpn_toom32_mul.47" expl="assertion" proved="true"> + <proof prover="1"><result status="valid" time="0.35"/></proof> </goal> - <goal name="VC toom32_mul.48" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.48" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom32_mul.49" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.60"/></proof> + <goal name="VC wmpn_toom32_mul.49" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.75"/></proof> </goal> - <goal name="VC toom32_mul.50" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.50" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.30"/></proof> </goal> - <goal name="VC toom32_mul.51" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.21"/></proof> + <goal name="VC wmpn_toom32_mul.51" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.34"/></proof> </goal> - <goal name="VC toom32_mul.52" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.52" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom32_mul.53" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.53" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom32_mul.54" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.54" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC toom32_mul.55" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.62"/></proof> + <goal name="VC wmpn_toom32_mul.55" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.73"/></proof> </goal> - <goal name="VC toom32_mul.56" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.56" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.34"/></proof> </goal> - <goal name="VC toom32_mul.57" expl="integer overflow" proved="true"> - <proof prover="1"><result status="valid" time="0.34"/></proof> + <goal name="VC wmpn_toom32_mul.57" expl="integer overflow" proved="true"> + <proof prover="1"><result status="valid" time="0.41"/></proof> </goal> - <goal name="VC toom32_mul.58" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.58" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom32_mul.59" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.59" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom32_mul.60" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.60" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom32_mul.61" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.61" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.15"/></proof> </goal> - <goal name="VC toom32_mul.62" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.62" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.16"/></proof> </goal> - <goal name="VC toom32_mul.63" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.60"/></proof> + <goal name="VC wmpn_toom32_mul.63" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.89"/></proof> </goal> - <goal name="VC toom32_mul.64" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.25"/></proof> + <goal name="VC wmpn_toom32_mul.64" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.23"/></proof> </goal> - <goal name="VC toom32_mul.65" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.27"/></proof> + <goal name="VC wmpn_toom32_mul.65" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.26"/></proof> </goal> - <goal name="VC toom32_mul.66" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.66" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.09"/></proof> </goal> - <goal name="VC toom32_mul.67" expl="integer overflow" proved="true"> - <proof prover="1"><result status="valid" time="0.25"/></proof> + <goal name="VC wmpn_toom32_mul.67" expl="integer overflow" proved="true"> + <proof prover="1"><result status="valid" time="0.34"/></proof> </goal> - <goal name="VC toom32_mul.68" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.68" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.68.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.68.0" expl="assertion" proved="true"> <proof prover="4"><result status="valid" time="0.22"/></proof> </goal> - <goal name="VC toom32_mul.68.1" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.68.1" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom32_mul.68.2" expl="assertion" proved="true"> - <proof prover="1"><result status="valid" time="0.08"/></proof> + <goal name="VC wmpn_toom32_mul.68.2" expl="assertion" proved="true"> + <proof prover="1"><result status="valid" time="0.19"/></proof> </goal> - <goal name="VC toom32_mul.68.3" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.68.3" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.20"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.69" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.69" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.13"/></proof> </goal> - <goal name="VC toom32_mul.70" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.70" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.16"/></proof> </goal> - <goal name="VC toom32_mul.71" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.48"/></proof> + <goal name="VC wmpn_toom32_mul.71" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.79"/></proof> </goal> - <goal name="VC toom32_mul.72" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.26"/></proof> + <goal name="VC wmpn_toom32_mul.72" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.39"/></proof> </goal> - <goal name="VC toom32_mul.73" expl="integer overflow" proved="true"> - <proof prover="1"><result status="valid" time="0.21"/></proof> + <goal name="VC wmpn_toom32_mul.73" expl="integer overflow" proved="true"> + <proof prover="1"><result status="valid" time="0.40"/></proof> </goal> - <goal name="VC toom32_mul.74" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.74" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.74.0" expl="assertion" proved="true"> - <proof prover="4"><result status="valid" time="0.16"/></proof> + <goal name="VC wmpn_toom32_mul.74.0" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.29"/></proof> </goal> - <goal name="VC toom32_mul.74.1" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.74.1" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.74.2" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.74.2" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom32_mul.74.3" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.74.3" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.74.4" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.74.4" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.20"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.75" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.75" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.76" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.76" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.09"/></proof> </goal> - <goal name="VC toom32_mul.77" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.77" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.17"/></proof> </goal> - <goal name="VC toom32_mul.78" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.78" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.17"/></proof> </goal> - <goal name="VC toom32_mul.79" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.54"/></proof> + <goal name="VC wmpn_toom32_mul.79" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.46"/></proof> </goal> - <goal name="VC toom32_mul.80" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.21"/></proof> + <goal name="VC wmpn_toom32_mul.80" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.26"/></proof> </goal> - <goal name="VC toom32_mul.81" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.81" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.32"/></proof> </goal> - <goal name="VC toom32_mul.82" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.46"/></proof> + <goal name="VC wmpn_toom32_mul.82" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.47"/></proof> </goal> - <goal name="VC toom32_mul.83" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.83" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.32"/></proof> </goal> - <goal name="VC toom32_mul.84" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.47"/></proof> + <goal name="VC wmpn_toom32_mul.84" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.54"/></proof> </goal> - <goal name="VC toom32_mul.85" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.32"/></proof> + <goal name="VC wmpn_toom32_mul.85" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.18"/></proof> </goal> - <goal name="VC toom32_mul.86" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.86" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.31"/></proof> </goal> - <goal name="VC toom32_mul.87" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.87" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.13"/></proof> </goal> - <goal name="VC toom32_mul.88" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.88" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.17"/></proof> </goal> - <goal name="VC toom32_mul.89" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.89" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.16"/></proof> </goal> - <goal name="VC toom32_mul.90" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.90" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.16"/></proof> </goal> - <goal name="VC toom32_mul.91" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.60"/></proof> + <goal name="VC wmpn_toom32_mul.91" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.80"/></proof> </goal> - <goal name="VC toom32_mul.92" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.35"/></proof> + <goal name="VC wmpn_toom32_mul.92" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.36"/></proof> </goal> - <goal name="VC toom32_mul.93" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.21"/></proof> + <goal name="VC wmpn_toom32_mul.93" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.33"/></proof> </goal> - <goal name="VC toom32_mul.94" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.94" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.95" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.95" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.18"/></proof> </goal> - <goal name="VC toom32_mul.96" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.96" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.16"/></proof> </goal> - <goal name="VC toom32_mul.97" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.97" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.15"/></proof> </goal> - <goal name="VC toom32_mul.98" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.98" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.99" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.53"/></proof> + <goal name="VC wmpn_toom32_mul.99" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.74"/></proof> </goal> - <goal name="VC toom32_mul.100" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.43"/></proof> + <goal name="VC wmpn_toom32_mul.100" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.69"/></proof> </goal> - <goal name="VC toom32_mul.101" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.101" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.28"/></proof> </goal> - <goal name="VC toom32_mul.102" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.102" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.36"/></proof> </goal> - <goal name="VC toom32_mul.103" expl="integer overflow" proved="true"> - <proof prover="1"><result status="valid" time="0.29"/></proof> + <goal name="VC wmpn_toom32_mul.103" expl="integer overflow" proved="true"> + <proof prover="1"><result status="valid" time="0.43"/></proof> </goal> - <goal name="VC toom32_mul.104" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.62"/></proof> + <goal name="VC wmpn_toom32_mul.104" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.97"/></proof> </goal> - <goal name="VC toom32_mul.105" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.52"/></proof> + <goal name="VC wmpn_toom32_mul.105" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.72"/></proof> </goal> - <goal name="VC toom32_mul.106" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.22"/></proof> + <goal name="VC wmpn_toom32_mul.106" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.37"/></proof> </goal> - <goal name="VC toom32_mul.107" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.107" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.108" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.108" expl="assertion" proved="true"> <proof prover="4"><result status="valid" time="0.29"/></proof> </goal> - <goal name="VC toom32_mul.109" expl="assertion" proved="true"> - <proof prover="1"><result status="valid" time="0.25"/></proof> + <goal name="VC wmpn_toom32_mul.109" expl="assertion" proved="true"> + <proof prover="1"><result status="valid" time="0.47"/></proof> </goal> - <goal name="VC toom32_mul.110" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.66"/></proof> + <goal name="VC wmpn_toom32_mul.110" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="1.14"/></proof> </goal> - <goal name="VC toom32_mul.111" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.27"/></proof> + <goal name="VC wmpn_toom32_mul.111" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.40"/></proof> </goal> - <goal name="VC toom32_mul.112" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.21"/></proof> + <goal name="VC wmpn_toom32_mul.112" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.42"/></proof> </goal> - <goal name="VC toom32_mul.113" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.113" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom32_mul.114" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.114" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC toom32_mul.115" expl="integer overflow" proved="true"> - <proof prover="1"><result status="valid" time="0.27"/></proof> + <goal name="VC wmpn_toom32_mul.115" expl="integer overflow" proved="true"> + <proof prover="1"><result status="valid" time="0.44"/></proof> </goal> - <goal name="VC toom32_mul.116" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.76"/></proof> + <goal name="VC wmpn_toom32_mul.116" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="1.37"/></proof> </goal> - <goal name="VC toom32_mul.117" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.117" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.117.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.117.0" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.13"/></proof> </goal> - <goal name="VC toom32_mul.117.1" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.117.1" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom32_mul.117.2" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.117.2" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.41"/></proof> </goal> - <goal name="VC toom32_mul.117.3" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.117.3" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom32_mul.117.4" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.117.4" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.118" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.28"/></proof> + <goal name="VC wmpn_toom32_mul.118" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.44"/></proof> </goal> - <goal name="VC toom32_mul.119" expl="assertion" proved="true"> - <proof prover="1"><result status="valid" time="0.28"/></proof> + <goal name="VC wmpn_toom32_mul.119" expl="assertion" proved="true"> + <proof prover="1"><result status="valid" time="0.56"/></proof> </goal> - <goal name="VC toom32_mul.120" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.120" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC toom32_mul.121" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.121" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.121.0" expl="assertion" proved="true"> - <proof prover="0"><result status="valid" time="0.27"/></proof> + <goal name="VC wmpn_toom32_mul.121.0" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.121.1" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.121.1" expl="assertion" proved="true"> <proof prover="3" timelimit="1"><result status="valid" time="0.16"/></proof> </goal> - <goal name="VC toom32_mul.121.2" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.121.2" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="3"><result status="valid" time="0.49"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.122" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.122" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.17"/></proof> </goal> - <goal name="VC toom32_mul.123" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.123" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.124" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.124" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC toom32_mul.125" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.09"/></proof> + <goal name="VC wmpn_toom32_mul.125" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.20"/></proof> </goal> - <goal name="VC toom32_mul.126" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.126" expl="assertion" proved="true"> <proof prover="4"><result status="valid" time="0.31"/></proof> </goal> - <goal name="VC toom32_mul.127" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.127" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.127.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.127.0" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom32_mul.127.1" expl="VC for toom32_mul" proved="true"> - <proof prover="0"><result status="valid" time="2.26"/></proof> + <goal name="VC wmpn_toom32_mul.127.1" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="0"><result status="valid" time="3.20"/></proof> </goal> - <goal name="VC toom32_mul.127.2" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.76"/></proof> + <goal name="VC wmpn_toom32_mul.127.2" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="1.40"/></proof> </goal> - <goal name="VC toom32_mul.127.3" expl="VC for toom32_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.82"/></proof> + <goal name="VC wmpn_toom32_mul.127.3" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1"><result status="valid" time="0.67"/></proof> </goal> - <goal name="VC toom32_mul.127.4" expl="VC for toom32_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.78"/></proof> + <goal name="VC wmpn_toom32_mul.127.4" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1"><result status="valid" time="0.71"/></proof> </goal> - <goal name="VC toom32_mul.127.5" expl="VC for toom32_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.32"/></proof> + <goal name="VC wmpn_toom32_mul.127.5" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1"><result status="valid" time="0.25"/></proof> </goal> - <goal name="VC toom32_mul.127.6" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="2.70"/></proof> + <goal name="VC wmpn_toom32_mul.127.6" expl="VC for wmpn_toom32_mul" proved="true"> + <transf name="rewrite" proved="true" arg1="H3"> + <goal name="VC wmpn_toom32_mul.127.6.0" expl="VC for wmpn_toom32_mul" proved="true"> + <transf name="assert" proved="true" arg1="(0 <= value_sub (pelts y) (offset y + t) (offset y + n))"> + <goal name="VC wmpn_toom32_mul.127.6.0.0" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.32"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.127.6.0.1" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.33"/></proof> + </goal> + </transf> + </goal> + </transf> </goal> - <goal name="VC toom32_mul.127.7" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.127.7" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.20"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.128" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.128" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.13"/></proof> </goal> - <goal name="VC toom32_mul.129" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.68"/></proof> + <goal name="VC wmpn_toom32_mul.129" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.76"/></proof> </goal> - <goal name="VC toom32_mul.130" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.66"/></proof> + <goal name="VC wmpn_toom32_mul.130" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.75"/></proof> </goal> - <goal name="VC toom32_mul.131" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.23"/></proof> + <goal name="VC wmpn_toom32_mul.131" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.42"/></proof> </goal> - <goal name="VC toom32_mul.132" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.132" expl="assertion" proved="true"> <proof prover="3"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.133" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.133" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC toom32_mul.134" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.134" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.15"/></proof> </goal> - <goal name="VC toom32_mul.135" expl="postcondition" proved="true"> - <proof prover="1"><result status="valid" time="0.09"/></proof> + <goal name="VC wmpn_toom32_mul.135" expl="postcondition" proved="true"> + <proof prover="1"><result status="valid" time="0.20"/></proof> </goal> - <goal name="VC toom32_mul.136" expl="variant decrease" proved="true"> + <goal name="VC wmpn_toom32_mul.136" expl="variant decrease" proved="true"> <proof prover="1"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom32_mul.137" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.55"/></proof> + <goal name="VC wmpn_toom32_mul.137" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.73"/></proof> </goal> - <goal name="VC toom32_mul.138" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.20"/></proof> + <goal name="VC wmpn_toom32_mul.138" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.28"/></proof> </goal> - <goal name="VC toom32_mul.139" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.58"/></proof> + <goal name="VC wmpn_toom32_mul.139" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.60"/></proof> </goal> - <goal name="VC toom32_mul.140" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.140" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.141" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.141" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.142" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.05"/></proof> + <goal name="VC wmpn_toom32_mul.142" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.17"/></proof> </goal> - <goal name="VC toom32_mul.143" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.22"/></proof> + <goal name="VC wmpn_toom32_mul.143" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.29"/></proof> </goal> - <goal name="VC toom32_mul.144" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.57"/></proof> + <goal name="VC wmpn_toom32_mul.144" expl="precondition" proved="true"> + <transf name="inline_goal" proved="true" > + <goal name="VC wmpn_toom32_mul.144.0" expl="precondition" proved="true"> + <transf name="split_vc" proved="true" > + <goal name="VC wmpn_toom32_mul.144.0.0" expl="precondition" proved="true"> + <proof prover="3"><result status="valid" time="0.10"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.144.0.1" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.13"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.144.0.2" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.45"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.144.0.3" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.17"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.144.0.4" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.27"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.144.0.5" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.45"/></proof> + </goal> + </transf> + </goal> + </transf> </goal> - <goal name="VC toom32_mul.145" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.145" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom32_mul.146" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.146" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.15"/></proof> </goal> - <goal name="VC toom32_mul.147" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom32_mul.147" expl="integer overflow" proved="true"> <proof prover="1"><result status="valid" time="0.22"/></proof> </goal> - <goal name="VC toom32_mul.148" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.148" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.149" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.149" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.150" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.150" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.16"/></proof> </goal> - <goal name="VC toom32_mul.151" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.68"/></proof> + <goal name="VC wmpn_toom32_mul.151" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="1.03"/></proof> </goal> - <goal name="VC toom32_mul.152" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.28"/></proof> + <goal name="VC wmpn_toom32_mul.152" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.46"/></proof> </goal> - <goal name="VC toom32_mul.153" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.153" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom32_mul.154" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom32_mul.154" expl="integer overflow" proved="true"> <proof prover="1"><result status="valid" time="0.20"/></proof> </goal> - <goal name="VC toom32_mul.155" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.155" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.156" expl="precondition" proved="true"> - <proof prover="4"><result status="valid" time="1.05"/></proof> + <goal name="VC wmpn_toom32_mul.156" expl="precondition" proved="true"> + <transf name="inline_goal" proved="true" > + <goal name="VC wmpn_toom32_mul.156.0" expl="precondition" proved="true"> + <proof prover="4"><result status="valid" time="0.20"/></proof> + </goal> + </transf> </goal> - <goal name="VC toom32_mul.157" expl="assertion" proved="true"> - <proof prover="1"><result status="valid" time="0.29"/></proof> + <goal name="VC wmpn_toom32_mul.157" expl="assertion" proved="true"> + <proof prover="1"><result status="valid" time="0.42"/></proof> </goal> - <goal name="VC toom32_mul.158" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.158" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.34"/></proof> </goal> - <goal name="VC toom32_mul.159" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.159" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.159.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.159.0" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom32_mul.159.1" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.159.1" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom32_mul.159.2" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.159.2" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom32_mul.159.3" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.159.3" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom32_mul.159.4" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.159.4" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.159.5" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.159.5" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom32_mul.159.6" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.19"/></proof> + <goal name="VC wmpn_toom32_mul.159.6" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.34"/></proof> </goal> - <goal name="VC toom32_mul.159.7" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.159.7" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.159.8" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.159.8" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.159.9" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.159.9" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.159.10" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.159.10" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom32_mul.159.11" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.159.11" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.160" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.160" expl="postcondition" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom32_mul.161" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.161" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.15"/></proof> </goal> - <goal name="VC toom32_mul.162" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.162" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.163" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom32_mul.163" expl="integer overflow" proved="true"> <proof prover="1"><result status="valid" time="0.25"/></proof> </goal> - <goal name="VC toom32_mul.164" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.164" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom32_mul.165" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.165" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.166" expl="precondition" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="0.67"/></proof> + <goal name="VC wmpn_toom32_mul.166" expl="precondition" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="0.74"/></proof> </goal> - <goal name="VC toom32_mul.167" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.28"/></proof> + <goal name="VC wmpn_toom32_mul.167" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.58"/></proof> </goal> - <goal name="VC toom32_mul.168" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.168" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom32_mul.169" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom32_mul.169" expl="integer overflow" proved="true"> <proof prover="1"><result status="valid" time="0.23"/></proof> </goal> - <goal name="VC toom32_mul.170" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.170" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.15"/></proof> </goal> - <goal name="VC toom32_mul.171" expl="precondition" proved="true"> - <proof prover="4"><result status="valid" time="1.18"/></proof> + <goal name="VC wmpn_toom32_mul.171" expl="precondition" proved="true"> + <proof prover="4"><result status="valid" time="1.48"/></proof> </goal> - <goal name="VC toom32_mul.172" expl="assertion" proved="true"> - <proof prover="1"><result status="valid" time="0.40"/></proof> + <goal name="VC wmpn_toom32_mul.172" expl="assertion" proved="true"> + <proof prover="1"><result status="valid" time="0.36"/></proof> </goal> - <goal name="VC toom32_mul.173" expl="assertion" proved="true"> - <proof prover="1"><result status="valid" time="0.30"/></proof> + <goal name="VC wmpn_toom32_mul.173" expl="assertion" proved="true"> + <proof prover="1"><result status="valid" time="0.34"/></proof> </goal> - <goal name="VC toom32_mul.174" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.174" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.174.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.174.0" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.14"/></proof> </goal> - <goal name="VC toom32_mul.174.1" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.174.1" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom32_mul.174.2" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.174.2" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.13"/></proof> </goal> - <goal name="VC toom32_mul.174.3" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.174.3" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom32_mul.174.4" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.174.4" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC toom32_mul.174.5" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.174.5" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.174.6" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.19"/></proof> + <goal name="VC wmpn_toom32_mul.174.6" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.36"/></proof> </goal> - <goal name="VC toom32_mul.174.7" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.174.7" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.174.8" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.174.8" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.174.9" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.174.9" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.174.10" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.174.10" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom32_mul.174.11" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.174.11" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.13"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.175" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.175" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.175.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.175.0" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC toom32_mul.175.1" expl="VC for toom32_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.64"/></proof> + <goal name="VC wmpn_toom32_mul.175.1" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1"><result status="valid" time="1.22"/></proof> </goal> - <goal name="VC toom32_mul.175.2" expl="VC for toom32_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.66"/></proof> + <goal name="VC wmpn_toom32_mul.175.2" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1"><result status="valid" time="1.07"/></proof> </goal> - <goal name="VC toom32_mul.175.3" expl="VC for toom32_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.84"/></proof> + <goal name="VC wmpn_toom32_mul.175.3" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1"><result status="valid" time="1.33"/></proof> </goal> - <goal name="VC toom32_mul.175.4" expl="VC for toom32_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.10"/></proof> + <goal name="VC wmpn_toom32_mul.175.4" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom32_mul.175.5" expl="VC for toom32_mul" proved="true"> - <proof prover="3"><result status="valid" time="0.35"/></proof> + <goal name="VC wmpn_toom32_mul.175.5" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="3"><result status="valid" time="0.28"/></proof> </goal> - <goal name="VC toom32_mul.175.6" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.175.6" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.176" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.176" expl="postcondition" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom32_mul.177" expl="postcondition" proved="true"> - <proof prover="1"><result status="valid" time="0.40"/></proof> + <goal name="VC wmpn_toom32_mul.177" expl="postcondition" proved="true"> + <proof prover="1"><result status="valid" time="0.34"/></proof> </goal> - <goal name="VC toom32_mul.178" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.178" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.13"/></proof> </goal> - <goal name="VC toom32_mul.179" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.179" expl="postcondition" proved="true"> <proof prover="0"><result status="valid" time="0.25"/></proof> </goal> - <goal name="VC toom32_mul.180" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.180" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.09"/></proof> </goal> - <goal name="VC toom32_mul.181" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.181" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.20"/></proof> </goal> - <goal name="VC toom32_mul.182" expl="integer overflow" proved="true"> - <proof prover="1"><result status="valid" time="0.14"/></proof> + <goal name="VC wmpn_toom32_mul.182" expl="integer overflow" proved="true"> + <proof prover="1"><result status="valid" time="0.28"/></proof> </goal> - <goal name="VC toom32_mul.183" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.183" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC toom32_mul.184" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.184" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.09"/></proof> </goal> - <goal name="VC toom32_mul.185" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.185" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.19"/></proof> </goal> - <goal name="VC toom32_mul.186" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.68"/></proof> + <goal name="VC wmpn_toom32_mul.186" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="1.17"/></proof> </goal> - <goal name="VC toom32_mul.187" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.187" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.41"/></proof> </goal> - <goal name="VC toom32_mul.188" expl="integer overflow" proved="true"> - <proof prover="1"><result status="valid" time="0.16"/></proof> + <goal name="VC wmpn_toom32_mul.188" expl="integer overflow" proved="true"> + <proof prover="1"><result status="valid" time="0.30"/></proof> </goal> - <goal name="VC toom32_mul.189" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.189" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.190" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.190" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom32_mul.191" expl="precondition" proved="true"> - <proof prover="4"><result status="valid" time="1.31"/></proof> + <goal name="VC wmpn_toom32_mul.191" expl="precondition" proved="true"> + <transf name="inline_goal" proved="true" > + <goal name="VC wmpn_toom32_mul.191.0" expl="precondition" proved="true"> + <proof prover="4"><result status="valid" time="0.23"/></proof> + </goal> + </transf> </goal> - <goal name="VC toom32_mul.192" expl="assertion" proved="true"> - <proof prover="1"><result status="valid" time="0.41"/></proof> + <goal name="VC wmpn_toom32_mul.192" expl="assertion" proved="true"> + <proof prover="1"><result status="valid" time="0.60"/></proof> </goal> - <goal name="VC toom32_mul.193" expl="integer overflow" proved="true"> - <proof prover="3"><result status="valid" time="0.33"/></proof> + <goal name="VC wmpn_toom32_mul.193" expl="integer overflow" proved="true"> + <proof prover="3"><result status="valid" time="0.48"/></proof> </goal> - <goal name="VC toom32_mul.194" expl="integer overflow" proved="true"> - <proof prover="3"><result status="valid" time="0.38"/></proof> + <goal name="VC wmpn_toom32_mul.194" expl="integer overflow" proved="true"> + <proof prover="3"><result status="valid" time="0.56"/></proof> </goal> - <goal name="VC toom32_mul.195" expl="integer overflow" proved="true"> - <proof prover="3"><result status="valid" time="0.39"/></proof> + <goal name="VC wmpn_toom32_mul.195" expl="integer overflow" proved="true"> + <proof prover="3"><result status="valid" time="0.59"/></proof> </goal> - <goal name="VC toom32_mul.196" expl="assertion" proved="true"> - <proof prover="1"><result status="valid" time="0.34"/></proof> + <goal name="VC wmpn_toom32_mul.196" expl="assertion" proved="true"> + <proof prover="1"><result status="valid" time="0.56"/></proof> </goal> - <goal name="VC toom32_mul.197" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.197" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.197.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.197.0" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.09"/></proof> </goal> - <goal name="VC toom32_mul.197.1" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.197.1" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom32_mul.197.2" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.197.2" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom32_mul.197.3" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.197.3" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom32_mul.197.4" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.197.4" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.18"/></proof> </goal> - <goal name="VC toom32_mul.197.5" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.197.5" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.16"/></proof> </goal> - <goal name="VC toom32_mul.197.6" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.197.6" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.14"/></proof> </goal> - <goal name="VC toom32_mul.197.7" expl="VC for toom32_mul" proved="true"> - <proof prover="0"><result status="valid" time="0.13"/></proof> + <goal name="VC wmpn_toom32_mul.197.7" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="0"><result status="valid" time="0.28"/></proof> </goal> - <goal name="VC toom32_mul.197.8" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.197.8" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.197.9" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.197.9" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom32_mul.197.10" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.197.10" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom32_mul.197.11" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.197.11" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom32_mul.197.12" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.197.12" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom32_mul.197.13" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.197.13" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="4"><result status="valid" time="0.33"/></proof> </goal> - <goal name="VC toom32_mul.197.14" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.197.14" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.197.15" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.197.15" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom32_mul.197.16" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.197.16" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.13"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.198" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.198" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.199" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.199" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.17"/></proof> </goal> - <goal name="VC toom32_mul.200" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.200" expl="postcondition" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom32_mul.201" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.201" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.202" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.202" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom32_mul.203" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.203" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.204" expl="variant decrease" proved="true"> + <goal name="VC wmpn_toom32_mul.204" expl="variant decrease" proved="true"> <proof prover="1"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC toom32_mul.205" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.65"/></proof> + <goal name="VC wmpn_toom32_mul.205" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="1.26"/></proof> </goal> - <goal name="VC toom32_mul.206" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.30"/></proof> + <goal name="VC wmpn_toom32_mul.206" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.32"/></proof> </goal> - <goal name="VC toom32_mul.207" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.84"/></proof> + <goal name="VC wmpn_toom32_mul.207" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="1.10"/></proof> </goal> - <goal name="VC toom32_mul.208" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.208" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.17"/></proof> </goal> - <goal name="VC toom32_mul.209" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.209" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.14"/></proof> </goal> - <goal name="VC toom32_mul.210" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.06"/></proof> + <goal name="VC wmpn_toom32_mul.210" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.17"/></proof> </goal> - <goal name="VC toom32_mul.211" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.211" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.32"/></proof> </goal> - <goal name="VC toom32_mul.212" expl="precondition" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="0.72"/></proof> + <goal name="VC wmpn_toom32_mul.212" expl="precondition" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.17"/></proof> </goal> - <goal name="VC toom32_mul.213" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.213" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.19"/></proof> </goal> - <goal name="VC toom32_mul.214" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom32_mul.214" expl="integer overflow" proved="true"> <proof prover="1"><result status="valid" time="0.21"/></proof> </goal> - <goal name="VC toom32_mul.215" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.215" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.216" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.10"/></proof> + <goal name="VC wmpn_toom32_mul.216" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom32_mul.217" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.217" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.16"/></proof> </goal> - <goal name="VC toom32_mul.218" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.218" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.218.0" expl="assertion" proved="true"> - <proof prover="4"><result status="valid" time="0.20"/></proof> + <goal name="VC wmpn_toom32_mul.218.0" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.35"/></proof> </goal> - <goal name="VC toom32_mul.218.1" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.218.1" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> <proof prover="4"><result status="valid" time="0.30"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.219" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.219" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.18"/></proof> </goal> - <goal name="VC toom32_mul.220" expl="precondition" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="0.84"/></proof> + <goal name="VC wmpn_toom32_mul.220" expl="precondition" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.27"/></proof> </goal> - <goal name="VC toom32_mul.221" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.37"/></proof> + <goal name="VC wmpn_toom32_mul.221" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.56"/></proof> </goal> - <goal name="VC toom32_mul.222" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.222" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.16"/></proof> </goal> - <goal name="VC toom32_mul.223" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.223" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.14"/></proof> </goal> - <goal name="VC toom32_mul.224" expl="integer overflow" proved="true"> - <proof prover="1"><result status="valid" time="0.21"/></proof> + <goal name="VC wmpn_toom32_mul.224" expl="integer overflow" proved="true"> + <proof prover="1"><result status="valid" time="0.35"/></proof> </goal> - <goal name="VC toom32_mul.225" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.225" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.16"/></proof> </goal> - <goal name="VC toom32_mul.226" expl="precondition" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.31"/></proof> + <goal name="VC wmpn_toom32_mul.226" expl="precondition" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="2.26"/></proof> </goal> - <goal name="VC toom32_mul.227" expl="precondition" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.41"/></proof> + <goal name="VC wmpn_toom32_mul.227" expl="precondition" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="2.38"/></proof> </goal> - <goal name="VC toom32_mul.228" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.228" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom32_mul.229" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.229" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.229.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.229.0" expl="assertion" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.229.0.0" expl="assertion" proved="true"> - <proof prover="4"><result status="valid" time="0.22"/></proof> + <goal name="VC wmpn_toom32_mul.229.0.0" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.35"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.229.1" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.229.1" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.230" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.230" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.230.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.230.0" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.230.1" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.230.1" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom32_mul.230.2" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.230.2" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.07"/></proof> </goal> - <goal name="VC toom32_mul.230.3" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.230.3" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.230.4" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.230.4" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.07"/></proof> </goal> - <goal name="VC toom32_mul.230.5" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.230.5" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.230.6" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.230.6" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.231" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.231" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.14"/></proof> </goal> - <goal name="VC toom32_mul.232" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.232" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.22"/></proof> </goal> - <goal name="VC toom32_mul.233" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.233" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.17"/></proof> </goal> - <goal name="VC toom32_mul.234" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.234" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.235" expl="postcondition" proved="true"> - <proof prover="1"><result status="valid" time="0.09"/></proof> + <goal name="VC wmpn_toom32_mul.235" expl="postcondition" proved="true"> + <proof prover="1"><result status="valid" time="0.22"/></proof> </goal> - <goal name="VC toom32_mul.236" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.236" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.17"/></proof> </goal> - <goal name="VC toom32_mul.237" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.237" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.09"/></proof> </goal> - <goal name="VC toom32_mul.238" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.238" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.239" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.239" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.240" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.240" expl="postcondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.240.0" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.240.0" expl="postcondition" proved="true"> <proof prover="1" memlimit="2000"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.240.1" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.240.1" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.10"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.241" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.241" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.241.0" expl="assertion" proved="true"> - <proof prover="3" memlimit="2000"><result status="valid" time="1.20"/></proof> + <goal name="VC wmpn_toom32_mul.241.0" expl="assertion" proved="true"> + <proof prover="3" memlimit="2000"><result status="valid" time="1.62"/></proof> </goal> - <goal name="VC toom32_mul.241.1" expl="assertion" proved="true"> - <proof prover="3" memlimit="2000"><result status="valid" time="1.26"/></proof> + <goal name="VC wmpn_toom32_mul.241.1" expl="assertion" proved="true"> + <proof prover="3" memlimit="2000"><result status="valid" time="1.71"/></proof> </goal> - <goal name="VC toom32_mul.241.2" expl="assertion" proved="true"> - <proof prover="3" memlimit="2000"><result status="valid" time="1.04"/></proof> + <goal name="VC wmpn_toom32_mul.241.2" expl="assertion" proved="true"> + <proof prover="3" memlimit="2000"><result status="valid" time="1.18"/></proof> </goal> - <goal name="VC toom32_mul.241.3" expl="assertion" proved="true"> - <proof prover="3" memlimit="2000"><result status="valid" time="1.04"/></proof> + <goal name="VC wmpn_toom32_mul.241.3" expl="assertion" proved="true"> + <proof prover="3" memlimit="2000"><result status="valid" time="1.44"/></proof> </goal> - <goal name="VC toom32_mul.241.4" expl="assertion" proved="true"> - <proof prover="3" memlimit="2000"><result status="valid" time="1.23"/></proof> + <goal name="VC wmpn_toom32_mul.241.4" expl="assertion" proved="true"> + <proof prover="3" memlimit="2000"><result status="valid" time="1.52"/></proof> </goal> - <goal name="VC toom32_mul.241.5" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.20"/></proof> + <goal name="VC wmpn_toom32_mul.241.5" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.35"/></proof> </goal> - <goal name="VC toom32_mul.241.6" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.18"/></proof> + <goal name="VC wmpn_toom32_mul.241.6" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom32_mul.241.7" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.17"/></proof> + <goal name="VC wmpn_toom32_mul.241.7" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.31"/></proof> </goal> - <goal name="VC toom32_mul.241.8" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.241.8" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="4"><result status="valid" time="0.30"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.242" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.242" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.243" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.243" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom32_mul.244" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.244" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.244.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.244.0" expl="assertion" proved="true"> <proof prover="4"><result status="valid" time="0.36"/></proof> </goal> - <goal name="VC toom32_mul.244.1" expl="assertion" proved="true"> - <proof prover="1"><result status="valid" time="0.86"/></proof> + <goal name="VC wmpn_toom32_mul.244.1" expl="assertion" proved="true"> + <proof prover="1"><result status="valid" time="1.23"/></proof> </goal> - <goal name="VC toom32_mul.244.2" expl="VC for toom32_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.98"/></proof> + <goal name="VC wmpn_toom32_mul.244.2" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1"><result status="valid" time="1.02"/></proof> </goal> - <goal name="VC toom32_mul.244.3" expl="VC for toom32_mul" proved="true"> - <proof prover="3" timelimit="1"><result status="valid" time="0.16"/></proof> + <goal name="VC wmpn_toom32_mul.244.3" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="3" timelimit="1"><result status="valid" time="0.28"/></proof> </goal> - <goal name="VC toom32_mul.244.4" expl="VC for toom32_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.94"/></proof> + <goal name="VC wmpn_toom32_mul.244.4" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1"><result status="valid" time="1.19"/></proof> </goal> - <goal name="VC toom32_mul.244.5" expl="VC for toom32_mul" proved="true"> - <proof prover="1"><result status="valid" time="1.06"/></proof> + <goal name="VC wmpn_toom32_mul.244.5" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1"><result status="valid" time="1.04"/></proof> </goal> - <goal name="VC toom32_mul.244.6" expl="VC for toom32_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.87"/></proof> + <goal name="VC wmpn_toom32_mul.244.6" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1"><result status="valid" time="1.11"/></proof> </goal> - <goal name="VC toom32_mul.244.7" expl="VC for toom32_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.96"/></proof> + <goal name="VC wmpn_toom32_mul.244.7" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1"><result status="valid" time="1.03"/></proof> </goal> - <goal name="VC toom32_mul.244.8" expl="VC for toom32_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.76"/></proof> + <goal name="VC wmpn_toom32_mul.244.8" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1"><result status="valid" time="1.13"/></proof> </goal> - <goal name="VC toom32_mul.244.9" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.244.9" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.244.10" expl="VC for toom32_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.93"/></proof> + <goal name="VC wmpn_toom32_mul.244.10" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1"><result status="valid" time="1.01"/></proof> </goal> - <goal name="VC toom32_mul.244.11" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.244.11" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="1.07"/></proof> </goal> - <goal name="VC toom32_mul.244.12" expl="VC for toom32_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.89"/></proof> + <goal name="VC wmpn_toom32_mul.244.12" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1"><result status="valid" time="1.16"/></proof> </goal> - <goal name="VC toom32_mul.244.13" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.244.13" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.244.14" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.244.14" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.244.15" expl="VC for toom32_mul" proved="true"> - <proof prover="0"><result status="valid" time="3.31"/></proof> + <goal name="VC wmpn_toom32_mul.244.15" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="0"><result status="valid" time="4.45"/></proof> </goal> - <goal name="VC toom32_mul.244.16" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.244.16" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC toom32_mul.244.17" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.244.17" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="3"><result status="valid" time="0.20"/></proof> </goal> - <goal name="VC toom32_mul.244.18" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.244.18" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.14"/></proof> </goal> - <goal name="VC toom32_mul.244.19" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.244.19" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom32_mul.244.20" expl="VC for toom32_mul" proved="true"> - <proof prover="0"><result status="valid" time="3.26"/></proof> + <goal name="VC wmpn_toom32_mul.244.20" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="0"><result status="valid" time="4.18"/></proof> </goal> - <goal name="VC toom32_mul.244.21" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.244.21" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.244.22" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.244.22" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="3"><result status="valid" time="0.28"/></proof> </goal> - <goal name="VC toom32_mul.244.23" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.244.23" expl="VC for wmpn_toom32_mul" proved="true"> <transf name="apply" proved="true" arg1="prod_compat_r"> - <goal name="VC toom32_mul.244.23.0" proved="true"> + <goal name="VC wmpn_toom32_mul.244.23.0" proved="true"> <proof prover="1"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom32_mul.244.23.1" proved="true"> + <goal name="VC wmpn_toom32_mul.244.23.1" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.244.24" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.244.24" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom32_mul.244.25" expl="VC for toom32_mul" proved="true"> - <proof prover="3"><result status="valid" time="0.18"/></proof> + <goal name="VC wmpn_toom32_mul.244.25" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="3"><result status="valid" time="0.30"/></proof> </goal> - <goal name="VC toom32_mul.244.26" expl="VC for toom32_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.11"/></proof> + <goal name="VC wmpn_toom32_mul.244.26" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1"><result status="valid" time="0.23"/></proof> </goal> - <goal name="VC toom32_mul.244.27" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.244.27" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.18"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.245" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.245" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.245.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.245.0" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom32_mul.245.1" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.245.1" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.245.2" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.245.2" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.07"/></proof> </goal> - <goal name="VC toom32_mul.245.3" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.245.3" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.245.4" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.20"/></proof> + <goal name="VC wmpn_toom32_mul.245.4" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.34"/></proof> </goal> - <goal name="VC toom32_mul.245.5" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.245.5" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom32_mul.245.6" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.245.6" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.05"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.246" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.246" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.247" expl="integer overflow" proved="true"> - <proof prover="1"><result status="valid" time="0.16"/></proof> + <goal name="VC wmpn_toom32_mul.247" expl="integer overflow" proved="true"> + <proof prover="1"><result status="valid" time="0.31"/></proof> </goal> - <goal name="VC toom32_mul.248" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom32_mul.248" expl="integer overflow" proved="true"> <proof prover="1"><result status="valid" time="0.27"/></proof> </goal> - <goal name="VC toom32_mul.249" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.249" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.15"/></proof> </goal> - <goal name="VC toom32_mul.250" expl="precondition" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="0.87"/></proof> + <goal name="VC wmpn_toom32_mul.250" expl="precondition" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.30"/></proof> </goal> - <goal name="VC toom32_mul.251" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.44"/></proof> + <goal name="VC wmpn_toom32_mul.251" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.66"/></proof> </goal> - <goal name="VC toom32_mul.252" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.252" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom32_mul.253" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.253" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.253.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.253.0" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC toom32_mul.253.1" expl="VC for toom32_mul" proved="true"> - <proof prover="0"><result status="valid" time="1.03"/></proof> + <goal name="VC wmpn_toom32_mul.253.1" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="0"><result status="valid" time="1.44"/></proof> </goal> - <goal name="VC toom32_mul.253.2" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.253.2" expl="VC for wmpn_toom32_mul" proved="true"> <transf name="replace" proved="true" arg1="(m*m)" arg2="(power radix (2*n))"> - <goal name="VC toom32_mul.253.2.0" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.253.2.0" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom32_mul.253.2.1" proved="true"> + <goal name="VC wmpn_toom32_mul.253.2.1" proved="true"> <proof prover="1"><result status="valid" time="0.48"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.253.3" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.253.3" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.09"/></proof> </goal> - <goal name="VC toom32_mul.253.4" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.253.4" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.16"/></proof> </goal> - <goal name="VC toom32_mul.253.5" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.253.5" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom32_mul.253.6" expl="VC for toom32_mul" proved="true"> - <proof prover="0" timelimit="1"><result status="valid" time="0.52"/></proof> + <goal name="VC wmpn_toom32_mul.253.6" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="0" timelimit="1"><result status="valid" time="0.82"/></proof> </goal> - <goal name="VC toom32_mul.253.7" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.253.7" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.253.8" expl="VC for toom32_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.10"/></proof> + <goal name="VC wmpn_toom32_mul.253.8" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1"><result status="valid" time="0.22"/></proof> </goal> - <goal name="VC toom32_mul.253.9" expl="VC for toom32_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.10"/></proof> + <goal name="VC wmpn_toom32_mul.253.9" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1"><result status="valid" time="0.22"/></proof> </goal> - <goal name="VC toom32_mul.253.10" expl="VC for toom32_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.82"/></proof> + <goal name="VC wmpn_toom32_mul.253.10" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1"><result status="valid" time="0.98"/></proof> </goal> - <goal name="VC toom32_mul.253.11" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.253.11" expl="VC for wmpn_toom32_mul" proved="true"> <transf name="apply" proved="true" arg1="prod_compat_r"> - <goal name="VC toom32_mul.253.11.0" proved="true"> + <goal name="VC wmpn_toom32_mul.253.11.0" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.253.11.1" proved="true"> - <proof prover="1"><result status="valid" time="0.36"/></proof> + <goal name="VC wmpn_toom32_mul.253.11.1" proved="true"> + <proof prover="1"><result status="valid" time="0.41"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.253.12" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.253.12" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC toom32_mul.253.13" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.253.13" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.253.14" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.253.14" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0" timelimit="1"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom32_mul.253.15" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.253.15" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom32_mul.253.16" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.253.16" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.07"/></proof> </goal> - <goal name="VC toom32_mul.253.17" expl="VC for toom32_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.11"/></proof> + <goal name="VC wmpn_toom32_mul.253.17" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1"><result status="valid" time="0.24"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.254" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.254" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.255" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.255" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.20"/></proof> </goal> - <goal name="VC toom32_mul.256" expl="integer overflow" proved="true"> - <proof prover="1"><result status="valid" time="0.20"/></proof> + <goal name="VC wmpn_toom32_mul.256" expl="integer overflow" proved="true"> + <proof prover="1"><result status="valid" time="0.35"/></proof> </goal> - <goal name="VC toom32_mul.257" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.257" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.14"/></proof> </goal> - <goal name="VC toom32_mul.258" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.258" expl="assertion" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.258.0" expl="assertion" proved="true"> - <proof prover="0"><result status="valid" time="2.76"/></proof> + <goal name="VC wmpn_toom32_mul.258.0" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="5.04"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.259" expl="integer overflow" proved="true"> - <proof prover="1"><result status="valid" time="0.21"/></proof> + <goal name="VC wmpn_toom32_mul.259" expl="integer overflow" proved="true"> + <proof prover="1"><result status="valid" time="0.37"/></proof> </goal> - <goal name="VC toom32_mul.260" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.260" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.16"/></proof> </goal> - <goal name="VC toom32_mul.261" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.261" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.261.0" expl="assertion" proved="true"> - <transf name="replace" proved="true" arg1="(m * m)" arg2="(power radix (2*n))"> - <goal name="VC toom32_mul.261.0.0" expl="assertion" proved="true"> - <proof prover="0"><result status="valid" time="0.07"/></proof> + <goal name="VC wmpn_toom32_mul.261.0" expl="assertion" proved="true"> + <transf name="replace" proved="true" arg1="(m*m)" arg2="(power radix (2*n))"> + <goal name="VC wmpn_toom32_mul.261.0.0" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom32_mul.261.0.1" proved="true"> - <proof prover="1"><result status="valid" time="0.48"/></proof> + <goal name="VC wmpn_toom32_mul.261.0.1" proved="true"> + <proof prover="1"><result status="valid" time="0.60"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.261.1" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.261.1" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.262" expl="postcondition" proved="true"> - <proof prover="1"><result status="valid" time="0.05"/></proof> + <goal name="VC wmpn_toom32_mul.262" expl="postcondition" proved="true"> + <proof prover="1"><result status="valid" time="0.18"/></proof> </goal> - <goal name="VC toom32_mul.263" expl="postcondition" proved="true"> - <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.263.0" expl="postcondition" proved="true"> - <proof prover="1"><result status="valid" time="0.10"/></proof> - </goal> - <goal name="VC toom32_mul.263.1" expl="postcondition" proved="true"> - <proof prover="1"><result status="valid" time="0.06"/></proof> - </goal> - </transf> + <goal name="VC wmpn_toom32_mul.263" expl="postcondition" proved="true"> + <proof prover="1"><result status="valid" time="0.07"/></proof> </goal> - <goal name="VC toom32_mul.264" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.264" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.264.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.264.0" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom32_mul.264.1" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.264.1" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.264.2" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.264.2" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.264.3" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.264.3" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom32_mul.264.4" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.264.4" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="4"><result status="valid" time="0.31"/></proof> </goal> - <goal name="VC toom32_mul.264.5" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.264.5" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="4"><result status="valid" time="0.31"/></proof> </goal> - <goal name="VC toom32_mul.264.6" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.264.6" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.05"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.265" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.265" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.16"/></proof> </goal> - <goal name="VC toom32_mul.266" expl="integer overflow" proved="true"> - <proof prover="1"><result status="valid" time="0.16"/></proof> + <goal name="VC wmpn_toom32_mul.266" expl="integer overflow" proved="true"> + <proof prover="1"><result status="valid" time="0.18"/></proof> </goal> - <goal name="VC toom32_mul.267" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom32_mul.267" expl="integer overflow" proved="true"> <proof prover="1"><result status="valid" time="0.28"/></proof> </goal> - <goal name="VC toom32_mul.268" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.268" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.269" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.80"/></proof> + <goal name="VC wmpn_toom32_mul.269" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.99"/></proof> </goal> - <goal name="VC toom32_mul.270" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.36"/></proof> + <goal name="VC wmpn_toom32_mul.270" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.47"/></proof> </goal> - <goal name="VC toom32_mul.271" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.271" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.271.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.271.0" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom32_mul.271.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.271.1" expl="precondition" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.272" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.272" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.272.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.272.0" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.272.1" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.272.1" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.25"/></proof> </goal> - <goal name="VC toom32_mul.272.2" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.272.2" expl="VC for wmpn_toom32_mul" proved="true"> <transf name="replace" proved="true" arg1="(m*m)" arg2="(power radix (2*n))"> - <goal name="VC toom32_mul.272.2.0" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.272.2.0" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom32_mul.272.2.1" proved="true"> - <proof prover="1"><result status="valid" time="0.35"/></proof> + <goal name="VC wmpn_toom32_mul.272.2.1" proved="true"> + <proof prover="1"><result status="valid" time="0.58"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.272.3" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.272.3" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom32_mul.272.4" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.272.4" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.17"/></proof> </goal> - <goal name="VC toom32_mul.272.5" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.272.5" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.07"/></proof> </goal> - <goal name="VC toom32_mul.272.6" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.272.6" expl="VC for wmpn_toom32_mul" proved="true"> <transf name="rewrite" proved="true" arg1="H32"> - <goal name="VC toom32_mul.272.6.0" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.272.6.0" expl="VC for wmpn_toom32_mul" proved="true"> <transf name="replace" proved="true" arg1="(m*m)" arg2="(power radix (n+n))"> - <goal name="VC toom32_mul.272.6.0.0" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.272.6.0.0" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0" timelimit="10"><result status="valid" time="0.06"/></proof> <proof prover="1" timelimit="10" memlimit="2000"><result status="valid" time="0.08"/></proof> <proof prover="3" timelimit="10" memlimit="2000"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom32_mul.272.6.0.1" proved="true"> - <proof prover="1"><result status="valid" time="0.36"/></proof> + <goal name="VC wmpn_toom32_mul.272.6.0.1" proved="true"> + <proof prover="1"><result status="valid" time="0.62"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom32_mul.272.7" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.272.7" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC toom32_mul.272.8" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.272.8" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.272.9" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.272.9" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC toom32_mul.272.10" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.272.10" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom32_mul.272.11" expl="VC for toom32_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.36"/></proof> + <goal name="VC wmpn_toom32_mul.272.11" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1"><result status="valid" time="0.74"/></proof> </goal> - <goal name="VC toom32_mul.272.12" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.23"/></proof> + <goal name="VC wmpn_toom32_mul.272.12" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.42"/></proof> </goal> - <goal name="VC toom32_mul.272.13" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.272.13" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom32_mul.272.14" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.272.14" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.21"/></proof> </goal> - <goal name="VC toom32_mul.272.15" expl="VC for toom32_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.11"/></proof> + <goal name="VC wmpn_toom32_mul.272.15" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom32_mul.272.16" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.272.16" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom32_mul.272.17" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.272.17" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="4"><result status="valid" time="0.23"/></proof> </goal> - <goal name="VC toom32_mul.272.18" expl="VC for toom32_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.10"/></proof> + <goal name="VC wmpn_toom32_mul.272.18" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1"><result status="valid" time="0.23"/></proof> </goal> - <goal name="VC toom32_mul.272.19" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.272.19" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.14"/></proof> </goal> - <goal name="VC toom32_mul.272.20" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.272.20" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.20"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.273" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.273" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.274" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.274" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.20"/></proof> </goal> - <goal name="VC toom32_mul.275" expl="integer overflow" proved="true"> - <proof prover="1"><result status="valid" time="0.19"/></proof> + <goal name="VC wmpn_toom32_mul.275" expl="integer overflow" proved="true"> + <proof prover="1"><result status="valid" time="0.25"/></proof> </goal> - <goal name="VC toom32_mul.276" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.276" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.276.0" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.11"/></proof> + <goal name="VC wmpn_toom32_mul.276.0" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.25"/></proof> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.276.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.276.0.0" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.13"/></proof> </goal> - <goal name="VC toom32_mul.276.0.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.276.0.1" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.18"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom32_mul.277" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.277" expl="assertion" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.277.0" expl="assertion" proved="true"> - <proof prover="0"><result status="valid" time="2.98"/></proof> + <goal name="VC wmpn_toom32_mul.277.0" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="4.82"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.278" expl="integer overflow" proved="true"> - <proof prover="1"><result status="valid" time="0.22"/></proof> + <goal name="VC wmpn_toom32_mul.278" expl="integer overflow" proved="true"> + <proof prover="1"><result status="valid" time="0.46"/></proof> </goal> - <goal name="VC toom32_mul.279" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.279" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.279.0" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.10"/></proof> - </goal> - <goal name="VC toom32_mul.279.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.279.0" expl="precondition" proved="true"> <transf name="replace" proved="true" arg1="(m*m)" arg2="(power radix (2*n))"> - <goal name="VC toom32_mul.279.1.0" expl="precondition" proved="true"> - <proof prover="0"><result status="valid" time="0.32"/></proof> + <goal name="VC wmpn_toom32_mul.279.0.0" expl="precondition" proved="true"> + <proof prover="0"><result status="valid" time="0.55"/></proof> </goal> - <goal name="VC toom32_mul.279.1.1" proved="true"> + <goal name="VC wmpn_toom32_mul.279.0.1" proved="true"> <proof prover="1"><result status="valid" time="0.42"/></proof> </goal> </transf> </goal> + <goal name="VC wmpn_toom32_mul.279.1" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.10"/></proof> + </goal> </transf> </goal> - <goal name="VC toom32_mul.280" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.280" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.280.0" expl="assertion" proved="true"> - <transf name="replace" proved="true" arg1="(m*m)" arg2="(power radix (2*n))"> - <goal name="VC toom32_mul.280.0.0" expl="assertion" proved="true"> - <proof prover="0"><result status="valid" time="0.04"/></proof> + <goal name="VC wmpn_toom32_mul.280.0" expl="assertion" proved="true"> + <transf name="replace" proved="true" arg1="(m * m)" arg2="(power radix (2*n))"> + <goal name="VC wmpn_toom32_mul.280.0.0" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.07"/></proof> </goal> - <goal name="VC toom32_mul.280.0.1" proved="true"> - <proof prover="1"><result status="valid" time="0.44"/></proof> + <goal name="VC wmpn_toom32_mul.280.0.1" proved="true"> + <proof prover="1"><result status="valid" time="0.50"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.280.1" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.280.1" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.281" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.281" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom32_mul.282" expl="postcondition" proved="true"> - <proof prover="1"><result status="valid" time="0.07"/></proof> + <goal name="VC wmpn_toom32_mul.282" expl="postcondition" proved="true"> + <transf name="split_vc" proved="true" > + <goal name="VC wmpn_toom32_mul.282.0" expl="postcondition" proved="true"> + <proof prover="1"><result status="valid" time="0.10"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.282.1" expl="postcondition" proved="true"> + <proof prover="1"><result status="valid" time="0.06"/></proof> + </goal> + </transf> </goal> - <goal name="VC toom32_mul.283" expl="integer overflow" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="0.18"/></proof> + <goal name="VC wmpn_toom32_mul.283" expl="integer overflow" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="0.20"/></proof> </goal> - <goal name="VC toom32_mul.284" expl="integer overflow" proved="true"> - <proof prover="1"><result status="valid" time="0.36"/></proof> + <goal name="VC wmpn_toom32_mul.284" expl="integer overflow" proved="true"> + <proof prover="1"><result status="valid" time="0.43"/></proof> </goal> - <goal name="VC toom32_mul.285" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.78"/></proof> + <goal name="VC wmpn_toom32_mul.285" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.99"/></proof> </goal> - <goal name="VC toom32_mul.286" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.286" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.286.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.286.0" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.286.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.286.1" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.287" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.287" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.21"/></proof> </goal> - <goal name="VC toom32_mul.288" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.288" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.288.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.288.0" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom32_mul.288.1" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.288.1" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom32_mul.288.2" expl="assertion" proved="true"> - <proof prover="4"><result status="valid" time="0.20"/></proof> + <goal name="VC wmpn_toom32_mul.288.2" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.34"/></proof> </goal> - <goal name="VC toom32_mul.288.3" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.288.3" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.288.4" expl="VC for toom32_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.37"/></proof> + <goal name="VC wmpn_toom32_mul.288.4" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1"><result status="valid" time="0.76"/></proof> </goal> - <goal name="VC toom32_mul.288.5" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.288.5" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom32_mul.288.6" expl="VC for toom32_mul" proved="true"> - <proof prover="3"><result status="valid" time="0.31"/></proof> + <goal name="VC wmpn_toom32_mul.288.6" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="3"><result status="valid" time="0.48"/></proof> </goal> - <goal name="VC toom32_mul.288.7" expl="VC for toom32_mul" proved="true"> - <proof prover="3"><result status="valid" time="0.43"/></proof> + <goal name="VC wmpn_toom32_mul.288.7" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="3"><result status="valid" time="0.60"/></proof> </goal> - <goal name="VC toom32_mul.288.8" expl="VC for toom32_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.39"/></proof> + <goal name="VC wmpn_toom32_mul.288.8" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1"><result status="valid" time="0.55"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.289" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.289" expl="postcondition" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom32_mul.290" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.290" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC toom32_mul.291" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.291" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom32_mul.292" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.292" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.15"/></proof> </goal> - <goal name="VC toom32_mul.293" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.293" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.22"/></proof> </goal> - <goal name="VC toom32_mul.294" expl="integer overflow" proved="true"> - <proof prover="1"><result status="valid" time="0.18"/></proof> + <goal name="VC wmpn_toom32_mul.294" expl="integer overflow" proved="true"> + <proof prover="1"><result status="valid" time="0.36"/></proof> </goal> - <goal name="VC toom32_mul.295" expl="integer overflow" proved="true"> - <proof prover="1"><result status="valid" time="0.35"/></proof> + <goal name="VC wmpn_toom32_mul.295" expl="integer overflow" proved="true"> + <proof prover="1"><result status="valid" time="0.77"/></proof> </goal> - <goal name="VC toom32_mul.296" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.296" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom32_mul.297" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.297" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.22"/></proof> </goal> - <goal name="VC toom32_mul.298" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.298" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.22"/></proof> </goal> - <goal name="VC toom32_mul.299" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.11"/></proof> + <goal name="VC wmpn_toom32_mul.299" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom32_mul.300" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.300" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.300.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.300.0" expl="precondition" proved="true"> <proof prover="0"><result status="valid" time="0.22"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.301" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.301" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.20"/></proof> </goal> - <goal name="VC toom32_mul.302" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.302" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.302.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.302.0" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom32_mul.302.1" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.302.1" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.302.2" expl="assertion" proved="true"> - <proof prover="4"><result status="valid" time="0.23"/></proof> + <goal name="VC wmpn_toom32_mul.302.2" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.39"/></proof> </goal> - <goal name="VC toom32_mul.302.3" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.302.3" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom32_mul.302.4" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.302.4" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.15"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.303" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.303" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.303.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.303.0" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.18"/></proof> </goal> - <goal name="VC toom32_mul.303.1" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.303.1" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom32_mul.303.2" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.303.2" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom32_mul.303.3" expl="VC for toom32_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.42"/></proof> + <goal name="VC wmpn_toom32_mul.303.3" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1"><result status="valid" time="0.70"/></proof> </goal> - <goal name="VC toom32_mul.303.4" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.23"/></proof> + <goal name="VC wmpn_toom32_mul.303.4" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.26"/></proof> </goal> - <goal name="VC toom32_mul.303.5" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.303.5" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.18"/></proof> </goal> - <goal name="VC toom32_mul.303.6" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.23"/></proof> + <goal name="VC wmpn_toom32_mul.303.6" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.38"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.304" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.304" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.304.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.304.0" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.304.0.0" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.41"/></proof> + <goal name="VC wmpn_toom32_mul.304.0.0" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.63"/></proof> </goal> - <goal name="VC toom32_mul.304.0.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.304.0.1" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.304.0.2" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.42"/></proof> + <goal name="VC wmpn_toom32_mul.304.0.2" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.61"/></proof> </goal> - <goal name="VC toom32_mul.304.0.3" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.304.0.3" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.23"/></proof> </goal> - <goal name="VC toom32_mul.304.0.4" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.304.0.4" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC toom32_mul.304.0.5" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.44"/></proof> + <goal name="VC wmpn_toom32_mul.304.0.5" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.87"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom32_mul.305" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.42"/></proof> + <goal name="VC wmpn_toom32_mul.305" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.82"/></proof> </goal> - <goal name="VC toom32_mul.306" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.42"/></proof> + <goal name="VC wmpn_toom32_mul.306" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.70"/></proof> </goal> - <goal name="VC toom32_mul.307" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.307" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.307.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.307.0" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.307.1" expl="assertion" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="0.96"/></proof> + <goal name="VC wmpn_toom32_mul.307.1" expl="assertion" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.35"/></proof> </goal> - <goal name="VC toom32_mul.307.2" expl="assertion" proved="true"> - <proof prover="4"><result status="valid" time="0.25"/></proof> + <goal name="VC wmpn_toom32_mul.307.2" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.29"/></proof> </goal> - <goal name="VC toom32_mul.307.3" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.307.3" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.10"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.308" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.308" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.308.0" expl="assertion" proved="true"> - <proof prover="4"><result status="valid" time="0.58"/></proof> + <goal name="VC wmpn_toom32_mul.308.0" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.96"/></proof> </goal> - <goal name="VC toom32_mul.308.1" expl="VC for toom32_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.11"/></proof> + <goal name="VC wmpn_toom32_mul.308.1" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom32_mul.308.2" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.308.2" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.11"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.309" expl="integer overflow" proved="true"> - <proof prover="1"><result status="valid" time="0.44"/></proof> + <goal name="VC wmpn_toom32_mul.309" expl="integer overflow" proved="true"> + <proof prover="1"><result status="valid" time="0.70"/></proof> </goal> - <goal name="VC toom32_mul.310" expl="integer overflow" proved="true"> - <proof prover="1"><result status="valid" time="0.45"/></proof> + <goal name="VC wmpn_toom32_mul.310" expl="integer overflow" proved="true"> + <proof prover="1"><result status="valid" time="0.66"/></proof> </goal> - <goal name="VC toom32_mul.311" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.311" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.311.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.311.0" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.311.0.0" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.54"/></proof> + <goal name="VC wmpn_toom32_mul.311.0.0" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.50"/></proof> </goal> - <goal name="VC toom32_mul.311.0.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.311.0.1" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.14"/></proof> </goal> - <goal name="VC toom32_mul.311.0.2" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.42"/></proof> + <goal name="VC wmpn_toom32_mul.311.0.2" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.83"/></proof> </goal> - <goal name="VC toom32_mul.311.0.3" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.311.0.3" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.19"/></proof> </goal> - <goal name="VC toom32_mul.311.0.4" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.311.0.4" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.18"/></proof> </goal> - <goal name="VC toom32_mul.311.0.5" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.54"/></proof> + <goal name="VC wmpn_toom32_mul.311.0.5" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.62"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom32_mul.312" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.312" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.18"/></proof> </goal> - <goal name="VC toom32_mul.313" expl="precondition" proved="true"> - <proof prover="4"><result status="valid" time="0.36"/></proof> + <goal name="VC wmpn_toom32_mul.313" expl="precondition" proved="true"> + <proof prover="4"><result status="valid" time="0.30"/></proof> </goal> - <goal name="VC toom32_mul.314" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.314" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom32_mul.315" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.315" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.315.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.315.0" expl="precondition" proved="true"> <proof prover="0"><result status="valid" time="0.06"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.316" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.316" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.316.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.316.0" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom32_mul.316.1" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.316.1" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.21"/></proof> </goal> - <goal name="VC toom32_mul.316.2" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.23"/></proof> + <goal name="VC wmpn_toom32_mul.316.2" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.40"/></proof> </goal> - <goal name="VC toom32_mul.316.3" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.316.3" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.316.4" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.24"/></proof> + <goal name="VC wmpn_toom32_mul.316.4" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.53"/></proof> </goal> - <goal name="VC toom32_mul.316.5" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.316.5" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom32_mul.316.6" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.316.6" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="4"><result status="valid" time="0.40"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.317" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.317" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.20"/></proof> </goal> - <goal name="VC toom32_mul.318" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom32_mul.318" expl="integer overflow" proved="true"> <proof prover="1"><result status="valid" time="0.35"/></proof> </goal> - <goal name="VC toom32_mul.319" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.319" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.16"/></proof> </goal> - <goal name="VC toom32_mul.320" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.320" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.320.0" expl="assertion" proved="true"> - <proof prover="4"><result status="valid" time="0.29"/></proof> + <goal name="VC wmpn_toom32_mul.320.0" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.50"/></proof> </goal> - <goal name="VC toom32_mul.320.1" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.320.1" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.19"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.321" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.321" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom32_mul.322" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.322" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.14"/></proof> </goal> - <goal name="VC toom32_mul.323" expl="precondition" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.20"/></proof> + <goal name="VC wmpn_toom32_mul.323" expl="precondition" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="2.02"/></proof> </goal> - <goal name="VC toom32_mul.324" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.54"/></proof> + <goal name="VC wmpn_toom32_mul.324" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.83"/></proof> </goal> - <goal name="VC toom32_mul.325" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.325" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.326" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.326" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.20"/></proof> </goal> - <goal name="VC toom32_mul.327" expl="precondition" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.63"/></proof> + <goal name="VC wmpn_toom32_mul.327" expl="precondition" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.46"/></proof> </goal> - <goal name="VC toom32_mul.328" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.74"/></proof> + <goal name="VC wmpn_toom32_mul.328" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.64"/></proof> </goal> - <goal name="VC toom32_mul.329" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.329" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.330" expl="integer overflow" proved="true"> - <proof prover="1"><result status="valid" time="0.56"/></proof> + <goal name="VC wmpn_toom32_mul.330" expl="integer overflow" proved="true"> + <proof prover="1"><result status="valid" time="0.93"/></proof> </goal> - <goal name="VC toom32_mul.331" expl="precondition" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.45"/></proof> + <goal name="VC wmpn_toom32_mul.331" expl="precondition" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.90"/></proof> </goal> - <goal name="VC toom32_mul.332" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.332" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.14"/></proof> </goal> - <goal name="VC toom32_mul.333" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.333" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.26"/></proof> </goal> - <goal name="VC toom32_mul.334" expl="integer overflow" proved="true"> - <proof prover="1"><result status="valid" time="0.65"/></proof> + <goal name="VC wmpn_toom32_mul.334" expl="integer overflow" proved="true"> + <proof prover="1"><result status="valid" time="0.68"/></proof> </goal> - <goal name="VC toom32_mul.335" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom32_mul.335" expl="integer overflow" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom32_mul.336" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.336" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.336.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.336.0" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.336.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.336.0.0" expl="precondition" proved="true"> <proof prover="0" timelimit="1"><result status="valid" time="0.07"/></proof> </goal> - <goal name="VC toom32_mul.336.0.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.336.0.1" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom32_mul.336.0.2" expl="precondition" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="0.53"/></proof> + <goal name="VC wmpn_toom32_mul.336.0.2" expl="precondition" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="0.96"/></proof> </goal> - <goal name="VC toom32_mul.336.0.3" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.17"/></proof> + <goal name="VC wmpn_toom32_mul.336.0.3" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.29"/></proof> </goal> - <goal name="VC toom32_mul.336.0.4" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.13"/></proof> + <goal name="VC wmpn_toom32_mul.336.0.4" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.27"/></proof> </goal> - <goal name="VC toom32_mul.336.0.5" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.336.0.5" expl="precondition" proved="true"> <transf name="replace" proved="true" arg1="(plength vy2)" arg2="(plength vy21)"> - <goal name="VC toom32_mul.336.0.5.0" expl="precondition" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="0.66"/></proof> + <goal name="VC wmpn_toom32_mul.336.0.5.0" expl="precondition" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.06"/></proof> </goal> - <goal name="VC toom32_mul.336.0.5.1" proved="true"> + <goal name="VC wmpn_toom32_mul.336.0.5.1" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> </transf> @@ -6493,270 +6559,270 @@ </goal> </transf> </goal> - <goal name="VC toom32_mul.337" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.337" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom32_mul.338" expl="precondition" proved="true"> - <proof prover="4"><result status="valid" time="0.32"/></proof> + <goal name="VC wmpn_toom32_mul.338" expl="precondition" proved="true"> + <proof prover="4"><result status="valid" time="0.36"/></proof> </goal> - <goal name="VC toom32_mul.339" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.339" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.20"/></proof> </goal> - <goal name="VC toom32_mul.340" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.340" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.340.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.340.0" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom32_mul.340.1" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.340.1" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom32_mul.340.2" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.340.2" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.07"/></proof> </goal> - <goal name="VC toom32_mul.340.3" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.340.3" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom32_mul.340.4" expl="VC for toom32_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.16"/></proof> + <goal name="VC wmpn_toom32_mul.340.4" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1"><result status="valid" time="0.28"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.341" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.341" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.342" expl="postcondition" proved="true"> - <proof prover="4"><result status="valid" time="0.66"/></proof> + <goal name="VC wmpn_toom32_mul.342" expl="postcondition" proved="true"> + <proof prover="4"><result status="valid" time="0.87"/></proof> </goal> - <goal name="VC toom32_mul.343" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.343" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom32_mul.344" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.344" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.22"/></proof> </goal> - <goal name="VC toom32_mul.345" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.345" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.345.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.345.0" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.345.0.0" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.50"/></proof> + <goal name="VC wmpn_toom32_mul.345.0.0" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="1.03"/></proof> </goal> - <goal name="VC toom32_mul.345.0.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.345.0.1" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.07"/></proof> </goal> - <goal name="VC toom32_mul.345.0.2" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.49"/></proof> + <goal name="VC wmpn_toom32_mul.345.0.2" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.82"/></proof> </goal> - <goal name="VC toom32_mul.345.0.3" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.345.0.3" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom32_mul.345.0.4" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.345.0.4" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom32_mul.345.0.5" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.61"/></proof> + <goal name="VC wmpn_toom32_mul.345.0.5" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.65"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom32_mul.346" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.55"/></proof> + <goal name="VC wmpn_toom32_mul.346" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="1.18"/></proof> </goal> - <goal name="VC toom32_mul.347" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.347" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.348" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.348" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.18"/></proof> </goal> - <goal name="VC toom32_mul.349" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.349" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.349.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.349.0" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.349.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.349.0.0" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.64"/></proof> </goal> - <goal name="VC toom32_mul.349.0.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.349.0.1" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom32_mul.349.0.2" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.58"/></proof> + <goal name="VC wmpn_toom32_mul.349.0.2" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.87"/></proof> </goal> - <goal name="VC toom32_mul.349.0.3" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.349.0.3" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.14"/></proof> </goal> - <goal name="VC toom32_mul.349.0.4" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.349.0.4" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.25"/></proof> </goal> - <goal name="VC toom32_mul.349.0.5" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.62"/></proof> + <goal name="VC wmpn_toom32_mul.349.0.5" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="1.07"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom32_mul.350" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.63"/></proof> + <goal name="VC wmpn_toom32_mul.350" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.88"/></proof> </goal> - <goal name="VC toom32_mul.351" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.351" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom32_mul.352" expl="integer overflow" proved="true"> + <goal name="VC wmpn_toom32_mul.352" expl="integer overflow" proved="true"> <proof prover="1"><result status="valid" time="0.67"/></proof> </goal> - <goal name="VC toom32_mul.353" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.353" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.353.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.353.0" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.353.0.0" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.53"/></proof> + <goal name="VC wmpn_toom32_mul.353.0.0" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="1.07"/></proof> </goal> - <goal name="VC toom32_mul.353.0.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.353.0.1" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom32_mul.353.0.2" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.64"/></proof> + <goal name="VC wmpn_toom32_mul.353.0.2" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.91"/></proof> </goal> - <goal name="VC toom32_mul.353.0.3" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.12"/></proof> + <goal name="VC wmpn_toom32_mul.353.0.3" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.26"/></proof> </goal> - <goal name="VC toom32_mul.353.0.4" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.14"/></proof> + <goal name="VC wmpn_toom32_mul.353.0.4" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.27"/></proof> </goal> - <goal name="VC toom32_mul.353.0.5" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.56"/></proof> + <goal name="VC wmpn_toom32_mul.353.0.5" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.92"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom32_mul.354" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.354" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.16"/></proof> </goal> - <goal name="VC toom32_mul.355" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.355" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.22"/></proof> </goal> - <goal name="VC toom32_mul.356" expl="integer overflow" proved="true"> - <proof prover="1"><result status="valid" time="0.56"/></proof> + <goal name="VC wmpn_toom32_mul.356" expl="integer overflow" proved="true"> + <proof prover="1"><result status="valid" time="0.91"/></proof> </goal> - <goal name="VC toom32_mul.357" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.357" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.357.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.357.0" expl="assertion" proved="true"> <transf name="replace" proved="true" arg1="(uint64'int hi)" arg2="(hi2 + b2 + b3)"> - <goal name="VC toom32_mul.357.0.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.357.0.0" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom32_mul.357.0.1" proved="true"> + <goal name="VC wmpn_toom32_mul.357.0.1" proved="true"> <proof prover="1"><result status="valid" time="0.14"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.357.1" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.357.1" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom32_mul.357.2" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.357.2" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.09"/></proof> </goal> - <goal name="VC toom32_mul.357.3" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.357.3" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.09"/></proof> </goal> - <goal name="VC toom32_mul.357.4" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.357.4" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC toom32_mul.357.5" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.357.5" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.26"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.358" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.358" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.358.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.358.0" expl="assertion" proved="true"> <proof prover="1"><result status="valid" time="0.23"/></proof> </goal> - <goal name="VC toom32_mul.358.1" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.358.1" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom32_mul.358.2" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.358.2" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.09"/></proof> </goal> - <goal name="VC toom32_mul.358.3" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.358.3" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.09"/></proof> </goal> - <goal name="VC toom32_mul.358.4" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.358.4" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.09"/></proof> </goal> - <goal name="VC toom32_mul.358.5" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="1.52"/></proof> + <goal name="VC wmpn_toom32_mul.358.5" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4" timelimit="10"><result status="valid" time="4.12"/></proof> </goal> - <goal name="VC toom32_mul.358.6" expl="VC for toom32_mul" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.36"/></proof> + <goal name="VC wmpn_toom32_mul.358.6" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="2.74"/></proof> </goal> - <goal name="VC toom32_mul.358.7" expl="VC for toom32_mul" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.40"/></proof> + <goal name="VC wmpn_toom32_mul.358.7" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="2.83"/></proof> </goal> - <goal name="VC toom32_mul.358.8" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.358.8" expl="VC for wmpn_toom32_mul" proved="true"> <transf name="apply" proved="true" arg1="prod_compat_r"> - <goal name="VC toom32_mul.358.8.0" proved="true"> - <proof prover="1"><result status="valid" time="0.73"/></proof> + <goal name="VC wmpn_toom32_mul.358.8.0" proved="true"> + <proof prover="1"><result status="valid" time="1.22"/></proof> </goal> - <goal name="VC toom32_mul.358.8.1" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.35"/></proof> + <goal name="VC wmpn_toom32_mul.358.8.1" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="2.56"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.358.9" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.358.9" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.358.10" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.358.10" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom32_mul.358.11" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.33"/></proof> + <goal name="VC wmpn_toom32_mul.358.11" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.71"/></proof> </goal> - <goal name="VC toom32_mul.358.12" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.358.12" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.26"/></proof> </goal> - <goal name="VC toom32_mul.358.13" expl="VC for toom32_mul" proved="true"> - <proof prover="1"><result status="valid" time="0.14"/></proof> + <goal name="VC wmpn_toom32_mul.358.13" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1"><result status="valid" time="0.27"/></proof> </goal> - <goal name="VC toom32_mul.358.14" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.358.14" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.17"/></proof> </goal> - <goal name="VC toom32_mul.358.15" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.38"/></proof> + <goal name="VC wmpn_toom32_mul.358.15" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.62"/></proof> </goal> - <goal name="VC toom32_mul.358.16" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.358.16" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1"><result status="valid" time="0.10"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.359" expl="integer overflow" proved="true"> - <proof prover="1"><result status="valid" time="0.59"/></proof> + <goal name="VC wmpn_toom32_mul.359" expl="integer overflow" proved="true"> + <proof prover="1"><result status="valid" time="1.16"/></proof> </goal> - <goal name="VC toom32_mul.360" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.360" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.360.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.360.0" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.360.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.360.0.0" expl="precondition" proved="true"> <proof prover="0" timelimit="1"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom32_mul.360.0.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.360.0.1" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.17"/></proof> </goal> - <goal name="VC toom32_mul.360.0.2" expl="precondition" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="0.69"/></proof> + <goal name="VC wmpn_toom32_mul.360.0.2" expl="precondition" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="0.87"/></proof> </goal> - <goal name="VC toom32_mul.360.0.3" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.360.0.3" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.25"/></proof> </goal> - <goal name="VC toom32_mul.360.0.4" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.360.0.4" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.18"/></proof> </goal> - <goal name="VC toom32_mul.360.0.5" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.360.0.5" expl="precondition" proved="true"> <transf name="replace" proved="true" arg1="(plength vy2)" arg2="(plength vy21)"> - <goal name="VC toom32_mul.360.0.5.0" expl="precondition" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="0.59"/></proof> + <goal name="VC wmpn_toom32_mul.360.0.5.0" expl="precondition" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.17"/></proof> </goal> - <goal name="VC toom32_mul.360.0.5.1" proved="true"> + <goal name="VC wmpn_toom32_mul.360.0.5.1" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> </transf> @@ -6765,831 +6831,911 @@ </goal> </transf> </goal> - <goal name="VC toom32_mul.361" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.361" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.18"/></proof> </goal> - <goal name="VC toom32_mul.362" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.362" expl="precondition" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom32_mul.363" expl="assertion" proved="true"> - <proof prover="4"><result status="valid" time="0.32"/></proof> + <goal name="VC wmpn_toom32_mul.363" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.67"/></proof> </goal> - <goal name="VC toom32_mul.364" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.364" expl="postcondition" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom32_mul.365" expl="postcondition" proved="true"> - <proof prover="4"><result status="valid" time="0.34"/></proof> + <goal name="VC wmpn_toom32_mul.365" expl="postcondition" proved="true"> + <proof prover="4"><result status="valid" time="0.66"/></proof> </goal> - <goal name="VC toom32_mul.366" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.366" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.25"/></proof> </goal> - <goal name="VC toom32_mul.367" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.367" expl="postcondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.368" expl="variant decrease" proved="true"> + <goal name="VC wmpn_toom32_mul.368" expl="variant decrease" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.369" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.369" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.369.0" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.44"/></proof> + <goal name="VC wmpn_toom32_mul.369.0" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.76"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.370" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.47"/></proof> + <goal name="VC wmpn_toom32_mul.370" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.89"/></proof> </goal> - <goal name="VC toom32_mul.371" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.371" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.371.0" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.49"/></proof> + <goal name="VC wmpn_toom32_mul.371.0" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.59"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.372" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.372" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom32_mul.373" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.373" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.15"/></proof> </goal> - <goal name="VC toom32_mul.374" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.06"/></proof> + <goal name="VC wmpn_toom32_mul.374" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.22"/></proof> </goal> - <goal name="VC toom32_mul.375" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.46"/></proof> + <goal name="VC wmpn_toom32_mul.375" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.91"/></proof> </goal> - <goal name="VC toom32_mul.376" expl="precondition" proved="true"> - <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.376.0" expl="precondition" proved="true"> - <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.376.0.0" expl="precondition" proved="true"> - <proof prover="3"><result status="valid" time="0.37"/></proof> - </goal> - <goal name="VC toom32_mul.376.0.1" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.11"/></proof> - </goal> - <goal name="VC toom32_mul.376.0.2" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.48"/></proof> - </goal> - <goal name="VC toom32_mul.376.0.3" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.17"/></proof> - </goal> - <goal name="VC toom32_mul.376.0.4" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.46"/></proof> - </goal> - <goal name="VC toom32_mul.376.0.5" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.47"/></proof> - </goal> - </transf> - </goal> - </transf> + <goal name="VC wmpn_toom32_mul.376" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="2.01"/></proof> </goal> - <goal name="VC toom32_mul.377" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.11"/></proof> + <goal name="VC wmpn_toom32_mul.377" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom32_mul.378" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.378" expl="precondition" proved="true"> <proof prover="1"><result status="valid" time="0.22"/></proof> </goal> - <goal name="VC toom32_mul.379" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.52"/></proof> + <goal name="VC wmpn_toom32_mul.379" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="1.07"/></proof> </goal> - <goal name="VC toom32_mul.380" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.380" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom32_mul.381" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.381" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.381.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.381.0" expl="assertion" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC toom32_mul.381.1" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.381.1" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.07"/></proof> </goal> - <goal name="VC toom32_mul.381.2" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.381.2" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.05"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.382" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.14"/></proof> + <goal name="VC wmpn_toom32_mul.382" expl="variant decrease" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.20"/></proof> </goal> - <goal name="VC toom32_mul.383" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.383" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.383.0" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.53"/></proof> + <goal name="VC wmpn_toom32_mul.383.0" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="1.22"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.384" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.384" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.384.0" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.53"/></proof> + <goal name="VC wmpn_toom32_mul.384.0" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="1.04"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.385" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.385" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.385.0" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.58"/></proof> + <goal name="VC wmpn_toom32_mul.385.0" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.87"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.386" expl="postcondition" proved="true"> - <proof prover="1"><result status="valid" time="0.12"/></proof> + <goal name="VC wmpn_toom32_mul.386" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.14"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.387" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom32_mul.387" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.388" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.84"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.389" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.24"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.390" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.388" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.391" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.392" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.393" expl="exceptional postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.394" expl="variant decrease" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.10"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.395" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.388.0" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.55"/></proof> + <goal name="VC wmpn_toom32_mul.395.0" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.78"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.389" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.396" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.389.0" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.56"/></proof> + <goal name="VC wmpn_toom32_mul.396.0" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="1.09"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.390" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.397" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.390.0" expl="precondition" proved="true"> - <proof prover="1"><result status="valid" time="0.58"/></proof> + <goal name="VC wmpn_toom32_mul.397.0" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.98"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.391" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.398" expl="precondition" proved="true"> + <proof prover="1"><result status="valid" time="0.12"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.399" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.24"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.400" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.71"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.401" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.10"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.402" expl="postcondition" proved="true"> <proof prover="1"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom32_mul.392" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.403" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.404" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.405" expl="exceptional postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.09"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.406" expl="assertion" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> <proof prover="3" memlimit="2000"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom32_mul.393" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.407" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.393.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.407.0" expl="assertion" proved="true"> <transf name="apply" proved="true" arg1="prod_compat_r"> - <goal name="VC toom32_mul.393.0.0" proved="true"> + <goal name="VC wmpn_toom32_mul.407.0.0" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom32_mul.393.0.1" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="0.96"/></proof> + <goal name="VC wmpn_toom32_mul.407.0.1" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.67"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.393.1" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.407.1" expl="assertion" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.14"/></proof> </goal> - <goal name="VC toom32_mul.393.2" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.407.2" expl="assertion" proved="true"> <transf name="apply" proved="true" arg1="prod_compat_strict_r"> - <goal name="VC toom32_mul.393.2.0" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.54"/></proof> + <goal name="VC wmpn_toom32_mul.407.2.0" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="1.12"/></proof> </goal> - <goal name="VC toom32_mul.393.2.1" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="0.94"/></proof> + <goal name="VC wmpn_toom32_mul.407.2.1" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.47"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.393.3" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.29"/></proof> + <goal name="VC wmpn_toom32_mul.407.3" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.34"/></proof> </goal> - <goal name="VC toom32_mul.393.4" expl="VC for toom32_mul" proved="true"> - <proof prover="3" timelimit="1"><result status="valid" time="0.49"/></proof> + <goal name="VC wmpn_toom32_mul.407.4" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="3" timelimit="1"><result status="valid" time="0.52"/></proof> </goal> - <goal name="VC toom32_mul.393.5" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.24"/></proof> + <goal name="VC wmpn_toom32_mul.407.5" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.42"/></proof> </goal> - <goal name="VC toom32_mul.393.6" expl="VC for toom32_mul" proved="true"> - <proof prover="3" timelimit="1"><result status="valid" time="0.47"/></proof> + <goal name="VC wmpn_toom32_mul.407.6" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="3" timelimit="1"><result status="valid" time="0.64"/></proof> </goal> - <goal name="VC toom32_mul.393.7" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.407.7" expl="VC for wmpn_toom32_mul" proved="true"> <transf name="apply" proved="true" arg1="prod_compat_r"> - <goal name="VC toom32_mul.393.7.0" proved="true"> + <goal name="VC wmpn_toom32_mul.407.7.0" proved="true"> <proof prover="0"><result status="valid" time="0.02"/></proof> </goal> - <goal name="VC toom32_mul.393.7.1" proved="true"> - <proof prover="0"><result status="valid" time="1.00"/></proof> + <goal name="VC wmpn_toom32_mul.407.7.1" proved="true"> + <proof prover="0"><result status="valid" time="1.22"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.393.8" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.407.8" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC toom32_mul.393.9" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.407.9" expl="VC for wmpn_toom32_mul" proved="true"> <transf name="apply" proved="true" arg1="prod_compat_strict_r"> - <goal name="VC toom32_mul.393.9.0" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.61"/></proof> + <goal name="VC wmpn_toom32_mul.407.9.0" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.60"/></proof> </goal> - <goal name="VC toom32_mul.393.9.1" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.00"/></proof> + <goal name="VC wmpn_toom32_mul.407.9.1" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="2.67"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.393.10" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.407.10" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.07"/></proof> </goal> - <goal name="VC toom32_mul.393.11" expl="VC for toom32_mul" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.13"/></proof> + <goal name="VC wmpn_toom32_mul.407.11" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.25"/></proof> </goal> - <goal name="VC toom32_mul.393.12" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.407.12" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.393.13" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.407.13" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.14"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.394" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.408" expl="precondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.14"/></proof> </goal> - <goal name="VC toom32_mul.395" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.409" expl="precondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom32_mul.396" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.70"/></proof> + <goal name="VC wmpn_toom32_mul.410" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="1.28"/></proof> </goal> - <goal name="VC toom32_mul.397" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.74"/></proof> + <goal name="VC wmpn_toom32_mul.411" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="1.34"/></proof> </goal> - <goal name="VC toom32_mul.398" expl="integer overflow" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.31"/></proof> + <goal name="VC wmpn_toom32_mul.412" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.62"/></proof> </goal> - <goal name="VC toom32_mul.399" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.13"/></proof> + <goal name="VC wmpn_toom32_mul.413" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.25"/></proof> </goal> - <goal name="VC toom32_mul.400" expl="assertion" proved="true"> - <proof prover="0"><result status="valid" time="0.13"/></proof> + <goal name="VC wmpn_toom32_mul.414" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.20"/></proof> </goal> - <goal name="VC toom32_mul.401" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.415" expl="precondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom32_mul.402" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.22"/></proof> + <goal name="VC wmpn_toom32_mul.416" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.28"/></proof> </goal> - <goal name="VC toom32_mul.403" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.78"/></proof> + <goal name="VC wmpn_toom32_mul.417" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="1.35"/></proof> </goal> - <goal name="VC toom32_mul.404" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.76"/></proof> + <goal name="VC wmpn_toom32_mul.418" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="1.25"/></proof> </goal> - <goal name="VC toom32_mul.405" expl="integer overflow" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.68"/></proof> + <goal name="VC wmpn_toom32_mul.419" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.98"/></proof> </goal> - <goal name="VC toom32_mul.406" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.420" expl="precondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.16"/></proof> </goal> - <goal name="VC toom32_mul.407" expl="assertion" proved="true"> - <proof prover="0"><result status="valid" time="2.76"/></proof> + <goal name="VC wmpn_toom32_mul.421" expl="assertion" proved="true"> + <proof prover="0" timelimit="10"><result status="valid" time="13.55"/></proof> </goal> - <goal name="VC toom32_mul.408" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.422" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom32_mul.409" expl="assertion" proved="true"> - <proof prover="4"><result status="valid" time="0.29"/></proof> + <goal name="VC wmpn_toom32_mul.423" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.45"/></proof> </goal> - <goal name="VC toom32_mul.410" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.12"/></proof> + <goal name="VC wmpn_toom32_mul.424" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.25"/></proof> </goal> - <goal name="VC toom32_mul.411" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.425" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.411.0" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.79"/></proof> + <goal name="VC wmpn_toom32_mul.425.0" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="1.16"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.412" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.84"/></proof> + <goal name="VC wmpn_toom32_mul.426" expl="precondition" proved="true"> + <transf name="inline_goal" proved="true" > + <goal name="VC wmpn_toom32_mul.426.0" expl="precondition" proved="true"> + <transf name="split_vc" proved="true" > + <goal name="VC wmpn_toom32_mul.426.0.0" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.88"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.426.0.1" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.12"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.426.0.2" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.86"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.426.0.3" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.12"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.426.0.4" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.12"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.426.0.5" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.85"/></proof> + </goal> + </transf> + </goal> + </transf> </goal> - <goal name="VC toom32_mul.413" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.427" expl="assertion" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.16"/></proof> </goal> - <goal name="VC toom32_mul.414" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.13"/></proof> + <goal name="VC wmpn_toom32_mul.428" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.27"/></proof> </goal> - <goal name="VC toom32_mul.415" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.12"/></proof> + <goal name="VC wmpn_toom32_mul.429" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.28"/></proof> </goal> - <goal name="VC toom32_mul.416" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.430" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.416.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.430.0" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom32_mul.416.1" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.430.1" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom32_mul.416.2" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.430.2" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.26"/></proof> </goal> - <goal name="VC toom32_mul.416.3" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.430.3" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.416.4" expl="VC for toom32_mul" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.70"/></proof> + <goal name="VC wmpn_toom32_mul.430.4" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="1.28"/></proof> </goal> - <goal name="VC toom32_mul.416.5" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.69"/></proof> + <goal name="VC wmpn_toom32_mul.430.5" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.82"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.417" expl="integer overflow" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.87"/></proof> + <goal name="VC wmpn_toom32_mul.431" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="1.05"/></proof> </goal> - <goal name="VC toom32_mul.418" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.14"/></proof> + <goal name="VC wmpn_toom32_mul.432" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.26"/></proof> </goal> - <goal name="VC toom32_mul.419" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.433" expl="precondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom32_mul.420" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.434" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.420.0" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.85"/></proof> + <goal name="VC wmpn_toom32_mul.434.0" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="1.16"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.421" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.435" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.421.0" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.72"/></proof> + <goal name="VC wmpn_toom32_mul.435.0" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.95"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.422" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.436" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.422.0" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.78"/></proof> + <goal name="VC wmpn_toom32_mul.436.0" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="1.06"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.423" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.437" expl="precondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.14"/></proof> </goal> - <goal name="VC toom32_mul.424" expl="integer overflow" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.80"/></proof> + <goal name="VC wmpn_toom32_mul.438" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="1.58"/></proof> </goal> - <goal name="VC toom32_mul.425" expl="assertion" proved="true"> - <proof prover="4"><result status="valid" time="0.46"/></proof> + <goal name="VC wmpn_toom32_mul.439" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.61"/></proof> </goal> - <goal name="VC toom32_mul.426" expl="assertion" proved="true"> - <proof prover="4"><result status="valid" time="0.32"/></proof> + <goal name="VC wmpn_toom32_mul.440" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.48"/></proof> </goal> - <goal name="VC toom32_mul.427" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.441" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.427.0" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.79"/></proof> + <goal name="VC wmpn_toom32_mul.441.0" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="1.60"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.428" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="1.08"/></proof> + <goal name="VC wmpn_toom32_mul.442" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="1.31"/></proof> </goal> - <goal name="VC toom32_mul.429" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.84"/></proof> + <goal name="VC wmpn_toom32_mul.443" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="1.41"/></proof> </goal> - <goal name="VC toom32_mul.430" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.444" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.430.0" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.83"/></proof> + <goal name="VC wmpn_toom32_mul.444.0" expl="precondition" proved="true"> + <transf name="split_vc" proved="true" > + <goal name="VC wmpn_toom32_mul.444.0.0" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="1.34"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.444.0.1" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.14"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.444.0.2" expl="precondition" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.32"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.444.0.3" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.30"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.444.0.4" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.30"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.444.0.5" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="1.63"/></proof> + </goal> + </transf> </goal> </transf> </goal> - <goal name="VC toom32_mul.431" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.445" expl="precondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.23"/></proof> </goal> - <goal name="VC toom32_mul.432" expl="integer overflow" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.82"/></proof> + <goal name="VC wmpn_toom32_mul.446" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="1.63"/></proof> </goal> - <goal name="VC toom32_mul.433" expl="assertion" proved="true"> - <proof prover="4"><result status="valid" time="0.34"/></proof> + <goal name="VC wmpn_toom32_mul.447" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.52"/></proof> </goal> - <goal name="VC toom32_mul.434" expl="assertion" proved="true"> - <proof prover="4"><result status="valid" time="0.30"/></proof> + <goal name="VC wmpn_toom32_mul.448" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.39"/></proof> </goal> - <goal name="VC toom32_mul.435" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.18"/></proof> + <goal name="VC wmpn_toom32_mul.449" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.30"/></proof> </goal> - <goal name="VC toom32_mul.436" expl="integer overflow" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.78"/></proof> + <goal name="VC wmpn_toom32_mul.450" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="1.63"/></proof> </goal> - <goal name="VC toom32_mul.437" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.451" expl="precondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom32_mul.438" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.19"/></proof> + <goal name="VC wmpn_toom32_mul.452" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.28"/></proof> </goal> - <goal name="VC toom32_mul.439" expl="integer overflow" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.50"/></proof> + <goal name="VC wmpn_toom32_mul.453" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.76"/></proof> </goal> - <goal name="VC toom32_mul.440" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.13"/></proof> + <goal name="VC wmpn_toom32_mul.454" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.27"/></proof> </goal> - <goal name="VC toom32_mul.441" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.455" expl="precondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.18"/></proof> </goal> - <goal name="VC toom32_mul.442" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.456" expl="precondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.25"/></proof> </goal> - <goal name="VC toom32_mul.443" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.457" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.443.0" expl="precondition" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.04"/></proof> + <goal name="VC wmpn_toom32_mul.457.0" expl="precondition" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.83"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.444" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.458" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.444.0" expl="precondition" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.06"/></proof> + <goal name="VC wmpn_toom32_mul.458.0" expl="precondition" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.93"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.445" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.459" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.445.0" expl="precondition" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.06"/></proof> + <goal name="VC wmpn_toom32_mul.459.0" expl="precondition" proved="true"> + <proof prover="4"><result status="valid" time="0.42"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.446" expl="integer overflow" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="1.02"/></proof> + <goal name="VC wmpn_toom32_mul.460" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="1.28"/></proof> </goal> - <goal name="VC toom32_mul.447" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.461" expl="precondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.28"/></proof> </goal> - <goal name="VC toom32_mul.448" expl="integer overflow" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.46"/></proof> + <goal name="VC wmpn_toom32_mul.462" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.88"/></proof> </goal> - <goal name="VC toom32_mul.449" expl="integer overflow" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.44"/></proof> + <goal name="VC wmpn_toom32_mul.463" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="1.02"/></proof> </goal> - <goal name="VC toom32_mul.450" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.19"/></proof> + <goal name="VC wmpn_toom32_mul.464" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.31"/></proof> </goal> - <goal name="VC toom32_mul.451" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.465" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.451.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.465.0" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom32_mul.451.1" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.465.1" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.23"/></proof> </goal> - <goal name="VC toom32_mul.451.2" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.465.2" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom32_mul.451.3" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.465.3" expl="VC for wmpn_toom32_mul" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.451.3.0" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.465.3.0" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.23"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.451.4" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.465.4" expl="VC for wmpn_toom32_mul" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.451.4.0" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.465.4.0" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.13"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.451.5" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.465.5" expl="VC for wmpn_toom32_mul" proved="true"> <transf name="unfold" proved="true" arg1="value"> - <goal name="VC toom32_mul.451.5.0" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.46"/></proof> + <goal name="VC wmpn_toom32_mul.465.5.0" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.52"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.451.6" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.465.6" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.451.7" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.44"/></proof> + <goal name="VC wmpn_toom32_mul.465.7" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.78"/></proof> </goal> - <goal name="VC toom32_mul.451.8" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.465.8" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.14"/></proof> </goal> - <goal name="VC toom32_mul.451.9" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.50"/></proof> + <goal name="VC wmpn_toom32_mul.465.9" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.64"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.452" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.466" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.452.0" expl="assertion" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.22"/></proof> + <goal name="VC wmpn_toom32_mul.466.0" expl="assertion" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.34"/></proof> </goal> - <goal name="VC toom32_mul.452.1" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.466.1" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.28"/></proof> </goal> - <goal name="VC toom32_mul.452.2" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.47"/></proof> + <goal name="VC wmpn_toom32_mul.466.2" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.51"/></proof> </goal> - <goal name="VC toom32_mul.452.3" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.466.3" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom32_mul.452.4" expl="VC for toom32_mul" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.16"/></proof> + <goal name="VC wmpn_toom32_mul.466.4" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.17"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.453" expl="integer overflow" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.46"/></proof> + <goal name="VC wmpn_toom32_mul.467" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.64"/></proof> </goal> - <goal name="VC toom32_mul.454" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.468" expl="precondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.28"/></proof> </goal> - <goal name="VC toom32_mul.455" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.469" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.455.0" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="1.64"/></proof> + <goal name="VC wmpn_toom32_mul.469.0" expl="precondition" proved="true"> + <transf name="split_vc" proved="true" > + <goal name="VC wmpn_toom32_mul.469.0.0" expl="precondition" proved="true"> + <proof prover="0"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.469.0.1" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.28"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.469.0.2" expl="precondition" proved="true"> + <proof prover="4"><result status="valid" time="0.49"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.469.0.3" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.19"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.469.0.4" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.18"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.469.0.5" expl="precondition" proved="true"> + <proof prover="4"><result status="valid" time="0.47"/></proof> + </goal> + </transf> </goal> </transf> </goal> - <goal name="VC toom32_mul.456" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.470" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.456.0" expl="precondition" proved="true"> - <proof prover="4"><result status="valid" time="2.28"/></proof> + <goal name="VC wmpn_toom32_mul.470.0" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="1.80"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.457" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.15"/></proof> + <goal name="VC wmpn_toom32_mul.471" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.28"/></proof> </goal> - <goal name="VC toom32_mul.458" expl="integer overflow" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="1.46"/></proof> + <goal name="VC wmpn_toom32_mul.472" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="1.59"/></proof> </goal> - <goal name="VC toom32_mul.459" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.473" expl="assertion" proved="true"> <transf name="replace" proved="true" arg1="(3*n)" arg2="(n+n+n)"> - <goal name="VC toom32_mul.459.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.473.0" expl="assertion" proved="true"> <transf name="replace" proved="true" arg1="m" arg2="(power radix n)"> - <goal name="VC toom32_mul.459.0.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.473.0.0" expl="assertion" proved="true"> <transf name="rewrite" proved="true" arg1="Power_sum"> - <goal name="VC toom32_mul.459.0.0.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.473.0.0.0" expl="assertion" proved="true"> <transf name="rewrite" proved="true" arg1="Power_sum"> - <goal name="VC toom32_mul.459.0.0.0.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.473.0.0.0.0" expl="assertion" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.16"/></proof> </goal> - <goal name="VC toom32_mul.459.0.0.0.1" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.15"/></proof> + <goal name="VC wmpn_toom32_mul.473.0.0.0.1" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.28"/></proof> </goal> - <goal name="VC toom32_mul.459.0.0.0.2" proved="true"> + <goal name="VC wmpn_toom32_mul.473.0.0.0.2" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.26"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.459.0.0.1" proved="true"> + <goal name="VC wmpn_toom32_mul.473.0.0.1" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.20"/></proof> </goal> - <goal name="VC toom32_mul.459.0.0.2" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.17"/></proof> + <goal name="VC wmpn_toom32_mul.473.0.0.2" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.31"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.459.0.1" proved="true"> + <goal name="VC wmpn_toom32_mul.473.0.1" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.14"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.459.1" proved="true"> + <goal name="VC wmpn_toom32_mul.473.1" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.07"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.460" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.474" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.460.0" expl="assertion" proved="true"> - <proof prover="4"><result status="valid" time="0.48"/></proof> + <goal name="VC wmpn_toom32_mul.474.0" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.80"/></proof> </goal> - <goal name="VC toom32_mul.460.1" expl="assertion" proved="true"> - <proof prover="0"><result status="valid" time="2.74"/></proof> - <proof prover="4"><result status="valid" time="0.48"/></proof> + <goal name="VC wmpn_toom32_mul.474.1" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="4.49"/></proof> + <proof prover="4"><result status="valid" time="0.85"/></proof> </goal> - <goal name="VC toom32_mul.460.2" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.474.2" expl="assertion" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom32_mul.460.3" expl="VC for toom32_mul" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.16"/></proof> + <goal name="VC wmpn_toom32_mul.474.3" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.34"/></proof> </goal> - <goal name="VC toom32_mul.460.4" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.50"/></proof> + <goal name="VC wmpn_toom32_mul.474.4" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.78"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.461" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.475" expl="precondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.21"/></proof> </goal> - <goal name="VC toom32_mul.462" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.476" expl="precondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom32_mul.463" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.477" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.463.0" expl="precondition" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.66"/></proof> + <goal name="VC wmpn_toom32_mul.477.0" expl="precondition" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.56"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.464" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.478" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.464.0" expl="precondition" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.64"/></proof> + <goal name="VC wmpn_toom32_mul.478.0" expl="precondition" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.60"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.465" expl="integer overflow" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.52"/></proof> + <goal name="VC wmpn_toom32_mul.479" expl="integer overflow" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.40"/></proof> </goal> - <goal name="VC toom32_mul.466" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.18"/></proof> + <goal name="VC wmpn_toom32_mul.480" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.31"/></proof> </goal> - <goal name="VC toom32_mul.467" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.481" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.467.0" expl="assertion" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.17"/></proof> + <goal name="VC wmpn_toom32_mul.481.0" expl="assertion" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.35"/></proof> </goal> - <goal name="VC toom32_mul.467.1" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.481.1" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom32_mul.467.2" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.481.2" expl="VC for wmpn_toom32_mul" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.467.2.0" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.46"/></proof> + <goal name="VC wmpn_toom32_mul.481.2.0" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.92"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.467.3" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.481.3" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.05"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.468" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.482" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.468.0" expl="assertion" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.47"/></proof> + <goal name="VC wmpn_toom32_mul.482.0" expl="assertion" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.40"/></proof> </goal> - <goal name="VC toom32_mul.468.1" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.482.1" expl="VC for wmpn_toom32_mul" proved="true"> <transf name="replace" proved="true" arg1="(m*m*m*m)" arg2="((m*m)*(m*m))"> - <goal name="VC toom32_mul.468.1.0" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.482.1.0" expl="VC for wmpn_toom32_mul" proved="true"> <transf name="rewrite" proved="true" arg1="H"> - <goal name="VC toom32_mul.468.1.0.0" expl="VC for toom32_mul" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.50"/></proof> + <goal name="VC wmpn_toom32_mul.482.1.0.0" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.70"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.468.1.1" proved="true"> + <goal name="VC wmpn_toom32_mul.482.1.1" proved="true"> <proof prover="1" memlimit="2000"><result status="valid" time="0.09"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom32_mul.469" expl="assertion" proved="true"> - <proof prover="4"><result status="valid" time="0.58"/></proof> + <goal name="VC wmpn_toom32_mul.483" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.65"/></proof> </goal> - <goal name="VC toom32_mul.470" expl="integer overflow" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.48"/></proof> + <goal name="VC wmpn_toom32_mul.484" expl="integer overflow" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.38"/></proof> </goal> - <goal name="VC toom32_mul.471" expl="integer overflow" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.56"/></proof> + <goal name="VC wmpn_toom32_mul.485" expl="integer overflow" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.35"/></proof> </goal> - <goal name="VC toom32_mul.472" expl="integer overflow" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.58"/></proof> + <goal name="VC wmpn_toom32_mul.486" expl="integer overflow" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.31"/></proof> </goal> - <goal name="VC toom32_mul.473" expl="integer overflow" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.62"/></proof> + <goal name="VC wmpn_toom32_mul.487" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.93"/></proof> </goal> - <goal name="VC toom32_mul.474" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.18"/></proof> + <goal name="VC wmpn_toom32_mul.488" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.33"/></proof> </goal> - <goal name="VC toom32_mul.475" expl="integer overflow" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="0.56"/></proof> + <goal name="VC wmpn_toom32_mul.489" expl="integer overflow" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="0.79"/></proof> </goal> - <goal name="VC toom32_mul.476" expl="integer overflow" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="0.58"/></proof> + <goal name="VC wmpn_toom32_mul.490" expl="integer overflow" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.10"/></proof> </goal> - <goal name="VC toom32_mul.477" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.491" expl="precondition" proved="true"> <proof prover="1" memlimit="2000"><result status="valid" time="0.28"/></proof> </goal> - <goal name="VC toom32_mul.478" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.492" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.478.0" expl="assertion" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.81"/></proof> + <goal name="VC wmpn_toom32_mul.492.0" expl="assertion" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.35"/></proof> </goal> - <goal name="VC toom32_mul.478.1" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.64"/></proof> + <goal name="VC wmpn_toom32_mul.492.1" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.80"/></proof> </goal> - <goal name="VC toom32_mul.478.2" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.492.2" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.05"/></proof> - <proof prover="4"><result status="valid" time="0.62"/></proof> + <proof prover="4"><result status="valid" time="1.20"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.479" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.493" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom32_mul.480" expl="integer overflow" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.62"/></proof> + <goal name="VC wmpn_toom32_mul.494" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.68"/></proof> </goal> - <goal name="VC toom32_mul.481" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.495" expl="precondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.29"/></proof> </goal> - <goal name="VC toom32_mul.482" expl="precondition" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="4.58"/></proof> + <goal name="VC wmpn_toom32_mul.496" expl="precondition" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="5.90"/></proof> </goal> - <goal name="VC toom32_mul.483" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.497" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.483.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.497.0" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.483.0.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.497.0.0" expl="precondition" proved="true"> <proof prover="0"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom32_mul.483.0.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.497.0.1" expl="precondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.16"/></proof> </goal> - <goal name="VC toom32_mul.483.0.2" expl="precondition" proved="true"> - <proof prover="4"><result status="valid" time="0.70"/></proof> + <goal name="VC wmpn_toom32_mul.497.0.2" expl="precondition" proved="true"> + <proof prover="4"><result status="valid" time="1.15"/></proof> </goal> - <goal name="VC toom32_mul.483.0.3" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.18"/></proof> + <goal name="VC wmpn_toom32_mul.497.0.3" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.33"/></proof> </goal> - <goal name="VC toom32_mul.483.0.4" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.19"/></proof> + <goal name="VC wmpn_toom32_mul.497.0.4" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.24"/></proof> </goal> - <goal name="VC toom32_mul.483.0.5" expl="precondition" proved="true"> - <proof prover="0"><result status="valid" time="0.50"/></proof> + <goal name="VC wmpn_toom32_mul.497.0.5" expl="precondition" proved="true"> + <proof prover="0"><result status="valid" time="0.60"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom32_mul.484" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.498" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.484.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.498.0" expl="precondition" proved="true"> <proof prover="0"><result status="valid" time="0.14"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.485" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.499" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom32_mul.486" expl="integer overflow" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.66"/></proof> + <goal name="VC wmpn_toom32_mul.500" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.92"/></proof> </goal> - <goal name="VC toom32_mul.487" expl="integer overflow" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="0.67"/></proof> + <goal name="VC wmpn_toom32_mul.501" expl="integer overflow" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="0.74"/></proof> </goal> - <goal name="VC toom32_mul.488" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.502" expl="precondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.20"/></proof> </goal> - <goal name="VC toom32_mul.489" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.503" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.489.0" expl="assertion" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.90"/></proof> + <goal name="VC wmpn_toom32_mul.503.0" expl="assertion" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="2.22"/></proof> </goal> - <goal name="VC toom32_mul.489.1" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.503.1" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> - <goal name="VC toom32_mul.489.2" expl="VC for toom32_mul" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.18"/></proof> + <goal name="VC wmpn_toom32_mul.503.2" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.33"/></proof> </goal> - <goal name="VC toom32_mul.489.3" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.503.3" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.19"/></proof> </goal> - <goal name="VC toom32_mul.489.4" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.503.4" expl="VC for wmpn_toom32_mul" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.489.4.0" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.503.4.0" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.05"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.489.5" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.503.5" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.06"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.490" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.15"/></proof> + <goal name="VC wmpn_toom32_mul.504" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.18"/></proof> </goal> - <goal name="VC toom32_mul.491" expl="integer overflow" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.90"/></proof> + <goal name="VC wmpn_toom32_mul.505" expl="integer overflow" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.83"/></proof> </goal> - <goal name="VC toom32_mul.492" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.506" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.492.0" expl="assertion" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.86"/></proof> + <goal name="VC wmpn_toom32_mul.506.0" expl="assertion" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.72"/></proof> </goal> - <goal name="VC toom32_mul.492.1" expl="VC for toom32_mul" proved="true"> - <proof prover="0"><result status="valid" time="0.43"/></proof> + <goal name="VC wmpn_toom32_mul.506.1" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="0"><result status="valid" time="0.68"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.493" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.507" expl="assertion" proved="true"> <transf name="rewrite" proved="true" arg1="H4"> - <goal name="VC toom32_mul.493.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.507.0" expl="assertion" proved="true"> <transf name="rewrite" proved="true" arg1="H27"> - <goal name="VC toom32_mul.493.0.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.507.0.0" expl="assertion" proved="true"> <transf name="rewrite" proved="true" arg1="H8"> - <goal name="VC toom32_mul.493.0.0.0" expl="assertion" proved="true"> - <proof prover="4"><result status="valid" time="0.68"/></proof> + <goal name="VC wmpn_toom32_mul.507.0.0.0" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.88"/></proof> </goal> </transf> </goal> @@ -7597,477 +7743,1927 @@ </goal> </transf> </goal> - <goal name="VC toom32_mul.494" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.508" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.494.0" expl="assertion" proved="true"> - <proof prover="4"><result status="valid" time="0.69"/></proof> + <goal name="VC wmpn_toom32_mul.508.0" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.79"/></proof> </goal> - <goal name="VC toom32_mul.494.1" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.508.1" expl="assertion" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.18"/></proof> </goal> - <goal name="VC toom32_mul.494.2" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.508.2" expl="assertion" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC toom32_mul.494.3" expl="assertion" proved="true"> - <proof prover="4"><result status="valid" time="0.73"/></proof> + <goal name="VC wmpn_toom32_mul.508.3" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="1.12"/></proof> </goal> - <goal name="VC toom32_mul.494.4" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.72"/></proof> + <goal name="VC wmpn_toom32_mul.508.4" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.81"/></proof> </goal> - <goal name="VC toom32_mul.494.5" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.73"/></proof> + <goal name="VC wmpn_toom32_mul.508.5" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.97"/></proof> </goal> - <goal name="VC toom32_mul.494.6" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.508.6" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC toom32_mul.494.7" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.508.7" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.04"/></proof> </goal> - <goal name="VC toom32_mul.494.8" expl="VC for toom32_mul" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.17"/></proof> + <goal name="VC wmpn_toom32_mul.508.8" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.38"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.495" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.509" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.495.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.509.0" expl="assertion" proved="true"> <proof prover="0"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom32_mul.495.1" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.509.1" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.06"/></proof> </goal> - <goal name="VC toom32_mul.495.2" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.72"/></proof> + <goal name="VC wmpn_toom32_mul.509.2" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="1.12"/></proof> </goal> - <goal name="VC toom32_mul.495.3" expl="VC for toom32_mul" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="4.36"/></proof> + <goal name="VC wmpn_toom32_mul.509.3" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="5.65"/></proof> </goal> - <goal name="VC toom32_mul.495.4" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.509.4" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.12"/></proof> </goal> - <goal name="VC toom32_mul.495.5" expl="VC for toom32_mul" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.17"/></proof> + <goal name="VC wmpn_toom32_mul.509.5" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.33"/></proof> </goal> - <goal name="VC toom32_mul.495.6" expl="VC for toom32_mul" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.17"/></proof> + <goal name="VC wmpn_toom32_mul.509.6" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.36"/></proof> </goal> - <goal name="VC toom32_mul.495.7" expl="VC for toom32_mul" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.22"/></proof> + <goal name="VC wmpn_toom32_mul.509.7" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.35"/></proof> </goal> - <goal name="VC toom32_mul.495.8" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.92"/></proof> + <goal name="VC wmpn_toom32_mul.509.8" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="1.24"/></proof> </goal> - <goal name="VC toom32_mul.495.9" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.82"/></proof> + <goal name="VC wmpn_toom32_mul.509.9" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="1.19"/></proof> </goal> - <goal name="VC toom32_mul.495.10" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.509.10" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.09"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.496" expl="integer overflow" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="2.24"/></proof> + <goal name="VC wmpn_toom32_mul.510" expl="integer overflow" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.64"/></proof> </goal> - <goal name="VC toom32_mul.497" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.511" expl="precondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.23"/></proof> </goal> - <goal name="VC toom32_mul.498" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.512" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.498.0" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.512.0" expl="precondition" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.498.0.0" expl="precondition" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.94"/></proof> + <goal name="VC wmpn_toom32_mul.512.0.0" expl="precondition" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="2.24"/></proof> </goal> - <goal name="VC toom32_mul.498.0.1" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.512.0.1" expl="precondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.32"/></proof> </goal> - <goal name="VC toom32_mul.498.0.2" expl="precondition" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.96"/></proof> + <goal name="VC wmpn_toom32_mul.512.0.2" expl="precondition" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="2.55"/></proof> </goal> - <goal name="VC toom32_mul.498.0.3" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.512.0.3" expl="precondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.22"/></proof> </goal> - <goal name="VC toom32_mul.498.0.4" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.28"/></proof> + <goal name="VC wmpn_toom32_mul.512.0.4" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.27"/></proof> </goal> - <goal name="VC toom32_mul.498.0.5" expl="precondition" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.96"/></proof> + <goal name="VC wmpn_toom32_mul.512.0.5" expl="precondition" proved="true"> + <proof prover="0"><result status="valid" time="0.68"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom32_mul.499" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.18"/></proof> + <goal name="VC wmpn_toom32_mul.513" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.35"/></proof> </goal> - <goal name="VC toom32_mul.500" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.514" expl="precondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.28"/></proof> </goal> - <goal name="VC toom32_mul.501" expl="postcondition" proved="true"> - <proof prover="0"><result status="valid" time="0.59"/></proof> + <goal name="VC wmpn_toom32_mul.515" expl="postcondition" proved="true"> + <proof prover="0"><result status="valid" time="0.89"/></proof> </goal> - <goal name="VC toom32_mul.502" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.516" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.502.0" expl="assertion" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="5.36"/></proof> + <goal name="VC wmpn_toom32_mul.516.0" expl="assertion" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="5.77"/></proof> </goal> - <goal name="VC toom32_mul.502.1" expl="VC for toom32_mul" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="5.21"/></proof> + <goal name="VC wmpn_toom32_mul.516.1" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="5.50"/></proof> </goal> - <goal name="VC toom32_mul.502.2" expl="VC for toom32_mul" proved="true"> - <proof prover="0"><result status="valid" time="0.88"/></proof> + <goal name="VC wmpn_toom32_mul.516.2" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="0"><result status="valid" time="1.58"/></proof> </goal> - <goal name="VC toom32_mul.502.3" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.516.3" expl="VC for wmpn_toom32_mul" proved="true"> <transf name="cut" proved="true" arg1="(power radix sy * value x sx < power radix sy * power radix sx)"> - <goal name="VC toom32_mul.502.3.0" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.516.3.0" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> </goal> - <goal name="VC toom32_mul.502.3.1" proved="true"> + <goal name="VC wmpn_toom32_mul.516.3.1" proved="true"> <transf name="apply" proved="true" arg1="prod_compat_strict_r"> - <goal name="VC toom32_mul.502.3.1.0" proved="true"> - <proof prover="4"><result status="valid" time="0.72"/></proof> + <goal name="VC wmpn_toom32_mul.516.3.1.0" proved="true"> + <proof prover="4"><result status="valid" time="0.97"/></proof> </goal> - <goal name="VC toom32_mul.502.3.1.1" proved="true"> + <goal name="VC wmpn_toom32_mul.516.3.1.1" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom32_mul.502.4" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.516.4" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.26"/></proof> </goal> - <goal name="VC toom32_mul.502.5" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.60"/></proof> + <goal name="VC wmpn_toom32_mul.516.5" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.86"/></proof> </goal> - <goal name="VC toom32_mul.502.6" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.516.6" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.06"/></proof> - <proof prover="1" memlimit="2000"><result status="valid" time="5.53"/></proof> + <proof prover="1" memlimit="2000"><result status="valid" time="8.10"/></proof> </goal> - <goal name="VC toom32_mul.502.7" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.516.7" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.60"/></proof> </goal> - <goal name="VC toom32_mul.502.8" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.516.8" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.11"/></proof> </goal> - <goal name="VC toom32_mul.502.9" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.516.9" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.26"/></proof> </goal> - <goal name="VC toom32_mul.502.10" expl="VC for toom32_mul" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.97"/></proof> + <goal name="VC wmpn_toom32_mul.516.10" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.50"/></proof> </goal> - <goal name="VC toom32_mul.502.11" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.516.11" expl="VC for wmpn_toom32_mul" proved="true"> <transf name="apply" proved="true" arg1="Power_sum"> - <goal name="VC toom32_mul.502.11.0" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.20"/></proof> + <goal name="VC wmpn_toom32_mul.516.11.0" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.21"/></proof> </goal> - <goal name="VC toom32_mul.502.11.1" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.18"/></proof> + <goal name="VC wmpn_toom32_mul.516.11.1" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.20"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.502.12" expl="VC for toom32_mul" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.20"/></proof> + <goal name="VC wmpn_toom32_mul.516.12" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.22"/></proof> </goal> - <goal name="VC toom32_mul.502.13" expl="VC for toom32_mul" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.97"/></proof> + <goal name="VC wmpn_toom32_mul.516.13" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.88"/></proof> </goal> - <goal name="VC toom32_mul.502.14" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.96"/></proof> + <goal name="VC wmpn_toom32_mul.516.14" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="1.13"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.503" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.517" expl="precondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.28"/></proof> </goal> - <goal name="VC toom32_mul.504" expl="precondition" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="4.69"/></proof> + <goal name="VC wmpn_toom32_mul.518" expl="precondition" proved="true"> + <transf name="inline_goal" proved="true" > + <goal name="VC wmpn_toom32_mul.518.0" expl="precondition" proved="true"> + <transf name="split_vc" proved="true" > + <goal name="VC wmpn_toom32_mul.518.0.0" expl="precondition" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.56"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.518.0.1" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.38"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.518.0.2" expl="precondition" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="2.44"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.518.0.3" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.31"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.518.0.4" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.22"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.518.0.5" expl="precondition" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.67"/></proof> + </goal> + </transf> + </goal> + </transf> </goal> - <goal name="VC toom32_mul.505" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.18"/></proof> + <goal name="VC wmpn_toom32_mul.519" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.35"/></proof> </goal> - <goal name="VC toom32_mul.506" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.16"/></proof> + <goal name="VC wmpn_toom32_mul.520" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.31"/></proof> </goal> - <goal name="VC toom32_mul.507" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.521" expl="postcondition" proved="true"> <proof prover="0"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom32_mul.508" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.522" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.508.0" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.522.0" expl="assertion" proved="true"> <proof prover="1" timelimit="1" memlimit="2000"><result status="valid" time="0.27"/></proof> </goal> - <goal name="VC toom32_mul.508.1" expl="VC for toom32_mul" proved="true"> - <proof prover="1" timelimit="1" memlimit="2000"><result status="valid" time="0.18"/></proof> + <goal name="VC wmpn_toom32_mul.522.1" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1" timelimit="1" memlimit="2000"><result status="valid" time="0.34"/></proof> </goal> - <goal name="VC toom32_mul.508.2" expl="VC for toom32_mul" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.62"/></proof> + <goal name="VC wmpn_toom32_mul.522.2" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="2.60"/></proof> </goal> - <goal name="VC toom32_mul.508.3" expl="VC for toom32_mul" proved="true"> - <proof prover="1" timelimit="1" memlimit="2000"><result status="valid" time="0.29"/></proof> + <goal name="VC wmpn_toom32_mul.522.3" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1" timelimit="1" memlimit="2000"><result status="valid" time="0.32"/></proof> </goal> - <goal name="VC toom32_mul.508.4" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.66"/></proof> + <goal name="VC wmpn_toom32_mul.522.4" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.78"/></proof> </goal> - <goal name="VC toom32_mul.508.5" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.522.5" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.05"/></proof> - <proof prover="1" memlimit="2000"><result status="valid" time="3.46"/></proof> + <proof prover="1" memlimit="2000"><result status="valid" time="5.06"/></proof> </goal> - <goal name="VC toom32_mul.508.6" expl="VC for toom32_mul" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="4.30"/></proof> + <goal name="VC wmpn_toom32_mul.522.6" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="5.00"/></proof> <transf name="unfold" proved="true" arg1="value"> - <goal name="VC toom32_mul.508.6.0" expl="VC for toom32_mul" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.61"/></proof> + <goal name="VC wmpn_toom32_mul.522.6.0" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.88"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.508.7" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.522.7" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> - <proof prover="1" memlimit="2000"><result status="valid" time="4.10"/></proof> + <proof prover="1" memlimit="2000"><result status="valid" time="5.21"/></proof> </goal> - <goal name="VC toom32_mul.508.8" expl="VC for toom32_mul" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="4.37"/></proof> + <goal name="VC wmpn_toom32_mul.522.8" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="5.90"/></proof> <transf name="unfold" proved="true" arg1="value"> - <goal name="VC toom32_mul.508.8.0" expl="VC for toom32_mul" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.46"/></proof> + <goal name="VC wmpn_toom32_mul.522.8.0" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.81"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.508.9" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.78"/></proof> + <goal name="VC wmpn_toom32_mul.522.9" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="1.17"/></proof> </goal> - <goal name="VC toom32_mul.508.10" expl="VC for toom32_mul" proved="true"> - <proof prover="0"><result status="valid" time="0.89"/></proof> + <goal name="VC wmpn_toom32_mul.522.10" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="0"><result status="valid" time="1.07"/></proof> </goal> - <goal name="VC toom32_mul.508.11" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.522.11" expl="VC for wmpn_toom32_mul" proved="true"> <transf name="cut" proved="true" arg1="(power radix sy * value x sx < power radix sy * power radix sx)"> - <goal name="VC toom32_mul.508.11.0" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.522.11.0" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="4"><result status="valid" time="0.84"/></proof> </goal> - <goal name="VC toom32_mul.508.11.1" proved="true"> + <goal name="VC wmpn_toom32_mul.522.11.1" proved="true"> <transf name="apply" proved="true" arg1="prod_compat_strict_r"> - <goal name="VC toom32_mul.508.11.1.0" proved="true"> + <goal name="VC wmpn_toom32_mul.522.11.1.0" proved="true"> <proof prover="4"><result status="valid" time="0.82"/></proof> </goal> - <goal name="VC toom32_mul.508.11.1.1" proved="true"> + <goal name="VC wmpn_toom32_mul.522.11.1.1" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom32_mul.508.12" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.522.12" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.23"/></proof> - <proof prover="1" memlimit="2000"><result status="valid" time="4.39"/></proof> + <proof prover="1" memlimit="2000"><result status="valid" time="6.47"/></proof> </goal> - <goal name="VC toom32_mul.508.13" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.522.13" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.03"/></proof> - <proof prover="1" memlimit="2000"><result status="valid" time="1.38"/></proof> + <proof prover="1" memlimit="2000"><result status="valid" time="1.60"/></proof> </goal> - <goal name="VC toom32_mul.508.14" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.522.14" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.06"/></proof> - <proof prover="1" memlimit="2000"><result status="valid" time="4.32"/></proof> + <proof prover="1" memlimit="2000"><result status="valid" time="5.62"/></proof> </goal> - <goal name="VC toom32_mul.508.15" expl="VC for toom32_mul" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="4.21"/></proof> + <goal name="VC wmpn_toom32_mul.522.15" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="6.95"/></proof> <transf name="unfold" proved="true" arg1="value"> - <goal name="VC toom32_mul.508.15.0" expl="VC for toom32_mul" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.72"/></proof> + <goal name="VC wmpn_toom32_mul.522.15.0" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="2.05"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.508.16" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.522.16" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1" timelimit="1" memlimit="2000"><result status="valid" time="0.14"/></proof> </goal> - <goal name="VC toom32_mul.508.17" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.522.17" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1" timelimit="1" memlimit="2000"><result status="valid" time="0.26"/></proof> </goal> - <goal name="VC toom32_mul.508.18" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.522.18" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1" timelimit="1" memlimit="2000"><result status="valid" time="0.16"/></proof> </goal> - <goal name="VC toom32_mul.508.19" expl="VC for toom32_mul" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.18"/></proof> + <goal name="VC wmpn_toom32_mul.522.19" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.33"/></proof> </goal> - <goal name="VC toom32_mul.508.20" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.74"/></proof> + <goal name="VC wmpn_toom32_mul.522.20" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.80"/></proof> </goal> - <goal name="VC toom32_mul.508.21" expl="VC for toom32_mul" proved="true"> - <proof prover="1" timelimit="1" memlimit="2000"><result status="valid" time="0.16"/></proof> + <goal name="VC wmpn_toom32_mul.522.21" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1" timelimit="1" memlimit="2000"><result status="valid" time="0.30"/></proof> </goal> - <goal name="VC toom32_mul.508.22" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.522.22" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1" timelimit="1" memlimit="2000"><result status="valid" time="0.20"/></proof> </goal> - <goal name="VC toom32_mul.508.23" expl="VC for toom32_mul" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.16"/></proof> + <goal name="VC wmpn_toom32_mul.522.23" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.33"/></proof> </goal> - <goal name="VC toom32_mul.508.24" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.72"/></proof> + <goal name="VC wmpn_toom32_mul.522.24" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.81"/></proof> </goal> - <goal name="VC toom32_mul.508.25" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.522.25" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.28"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.509" expl="postcondition" proved="true"> - <proof prover="0"><result status="valid" time="1.72"/></proof> + <goal name="VC wmpn_toom32_mul.523" expl="postcondition" proved="true"> + <proof prover="0"><result status="valid" time="2.62"/></proof> </goal> - <goal name="VC toom32_mul.510" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.524" expl="precondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.19"/></proof> </goal> - <goal name="VC toom32_mul.511" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.16"/></proof> + <goal name="VC wmpn_toom32_mul.525" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.32"/></proof> </goal> - <goal name="VC toom32_mul.512" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.526" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.512.0" expl="precondition" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.90"/></proof> - <proof prover="4"><result status="valid" time="0.58"/></proof> + <goal name="VC wmpn_toom32_mul.526.0" expl="precondition" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.95"/></proof> + <proof prover="4"><result status="valid" time="0.93"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.513" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.527" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.513.0" expl="precondition" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.90"/></proof> - <proof prover="4"><result status="valid" time="0.70"/></proof> + <goal name="VC wmpn_toom32_mul.527.0" expl="precondition" proved="true"> + <proof prover="4"><result status="valid" time="0.63"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.514" expl="integer overflow" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="0.58"/></proof> + <goal name="VC wmpn_toom32_mul.528" expl="integer overflow" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="0.84"/></proof> </goal> - <goal name="VC toom32_mul.515" expl="integer overflow" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.78"/></proof> + <goal name="VC wmpn_toom32_mul.529" expl="integer overflow" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.52"/></proof> </goal> - <goal name="VC toom32_mul.516" expl="integer overflow" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="1.75"/></proof> + <goal name="VC wmpn_toom32_mul.530" expl="integer overflow" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.46"/></proof> </goal> - <goal name="VC toom32_mul.517" expl="integer overflow" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="0.60"/></proof> + <goal name="VC wmpn_toom32_mul.531" expl="integer overflow" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.23"/></proof> </goal> - <goal name="VC toom32_mul.518" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.532" expl="precondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.28"/></proof> </goal> - <goal name="VC toom32_mul.519" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.533" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.519.0" expl="assertion" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.24"/></proof> + <goal name="VC wmpn_toom32_mul.533.0" expl="assertion" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.21"/></proof> </goal> - <goal name="VC toom32_mul.519.1" expl="VC for toom32_mul" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.24"/></proof> + <goal name="VC wmpn_toom32_mul.533.1" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.23"/></proof> </goal> - <goal name="VC toom32_mul.519.2" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.533.2" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom32_mul.519.3" expl="VC for toom32_mul" proved="true"> + <goal name="VC wmpn_toom32_mul.533.3" expl="VC for wmpn_toom32_mul" proved="true"> <proof prover="0"><result status="valid" time="0.05"/></proof> </goal> - <goal name="VC toom32_mul.519.4" expl="VC for toom32_mul" proved="true"> - <proof prover="0"><result status="valid" time="0.46"/></proof> + <goal name="VC wmpn_toom32_mul.533.4" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="0"><result status="valid" time="0.71"/></proof> </goal> - <goal name="VC toom32_mul.519.5" expl="VC for toom32_mul" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.18"/></proof> + <goal name="VC wmpn_toom32_mul.533.5" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.33"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.520" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.15"/></proof> + <goal name="VC wmpn_toom32_mul.534" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.30"/></proof> </goal> - <goal name="VC toom32_mul.521" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.16"/></proof> + <goal name="VC wmpn_toom32_mul.535" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.29"/></proof> </goal> - <goal name="VC toom32_mul.522" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.30"/></proof> + <goal name="VC wmpn_toom32_mul.536" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.29"/></proof> </goal> - <goal name="VC toom32_mul.523" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.537" expl="precondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.31"/></proof> </goal> - <goal name="VC toom32_mul.524" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.16"/></proof> + <goal name="VC wmpn_toom32_mul.538" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.29"/></proof> </goal> - <goal name="VC toom32_mul.525" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.16"/></proof> + <goal name="VC wmpn_toom32_mul.539" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.30"/></proof> </goal> - <goal name="VC toom32_mul.526" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.16"/></proof> + <goal name="VC wmpn_toom32_mul.540" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.28"/></proof> </goal> - <goal name="VC toom32_mul.527" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.30"/></proof> + <goal name="VC wmpn_toom32_mul.541" expl="precondition" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="0.35"/></proof> </goal> - <goal name="VC toom32_mul.528" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.542" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.528.0" expl="precondition" proved="true"> - <proof prover="4"><result status="valid" time="0.58"/></proof> + <goal name="VC wmpn_toom32_mul.542.0" expl="precondition" proved="true"> + <proof prover="4"><result status="valid" time="0.92"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.529" expl="precondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.17"/></proof> + <goal name="VC wmpn_toom32_mul.543" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.34"/></proof> </goal> - <goal name="VC toom32_mul.530" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.544" expl="precondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.25"/></proof> </goal> - <goal name="VC toom32_mul.531" expl="precondition" proved="true"> + <goal name="VC wmpn_toom32_mul.545" expl="precondition" proved="true"> <transf name="inline_goal" proved="true" > - <goal name="VC toom32_mul.531.0" expl="precondition" proved="true"> - <proof prover="4"><result status="valid" time="0.78"/></proof> + <goal name="VC wmpn_toom32_mul.545.0" expl="precondition" proved="true"> + <proof prover="4"><result status="valid" time="0.86"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.532" expl="assertion" proved="true"> + <goal name="VC wmpn_toom32_mul.546" expl="assertion" proved="true"> <transf name="split_vc" proved="true" > - <goal name="VC toom32_mul.532.0" expl="assertion" proved="true"> - <proof prover="0"><result status="valid" time="0.47"/></proof> + <goal name="VC wmpn_toom32_mul.546.0" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.79"/></proof> </goal> - <goal name="VC toom32_mul.532.1" expl="assertion" proved="true"> - <proof prover="0"><result status="valid" time="0.49"/></proof> + <goal name="VC wmpn_toom32_mul.546.1" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.99"/></proof> </goal> - <goal name="VC toom32_mul.532.2" expl="VC for toom32_mul" proved="true"> - <proof prover="4"><result status="valid" time="0.82"/></proof> + <goal name="VC wmpn_toom32_mul.546.2" expl="VC for wmpn_toom32_mul" proved="true"> + <proof prover="4"><result status="valid" time="1.06"/></proof> </goal> </transf> </goal> - <goal name="VC toom32_mul.533" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.547" expl="postcondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.29"/></proof> </goal> - <goal name="VC toom32_mul.534" expl="postcondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.16"/></proof> + <goal name="VC wmpn_toom32_mul.548" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.33"/></proof> </goal> - <goal name="VC toom32_mul.535" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.549" expl="postcondition" proved="true"> <proof prover="0"><result status="valid" time="0.10"/></proof> </goal> - <goal name="VC toom32_mul.536" expl="postcondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.31"/></proof> + <goal name="VC wmpn_toom32_mul.550" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.35"/></proof> </goal> - <goal name="VC toom32_mul.537" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.551" expl="postcondition" proved="true"> <proof prover="1" timelimit="1"><result status="valid" time="0.26"/></proof> </goal> - <goal name="VC toom32_mul.538" expl="postcondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.70"/></proof> + <goal name="VC wmpn_toom32_mul.552" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="1.01"/></proof> </goal> - <goal name="VC toom32_mul.539" expl="postcondition" proved="true"> - <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> + <goal name="VC wmpn_toom32_mul.553" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.19"/></proof> <proof prover="3" memlimit="2000"><result status="valid" time="0.01"/></proof> </goal> - <goal name="VC toom32_mul.540" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.554" expl="postcondition" proved="true"> <transf name="revert" proved="true" arg1="H"> - <goal name="VC toom32_mul.540.0" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.554.0" expl="postcondition" proved="true"> <transf name="split_all_full" proved="true" > - <goal name="VC toom32_mul.540.0.0" expl="postcondition" proved="true"> - <proof prover="0"><result status="valid" time="0.16"/></proof> - <proof prover="1" memlimit="2000"><result status="valid" time="2.24"/></proof> + <goal name="VC wmpn_toom32_mul.554.0.0" expl="postcondition" proved="true"> + <proof prover="0"><result status="valid" time="0.29"/></proof> + <proof prover="1" memlimit="2000"><result status="valid" time="2.66"/></proof> </goal> - <goal name="VC toom32_mul.540.0.1" expl="postcondition" proved="true"> - <proof prover="1" memlimit="2000"><result status="valid" time="2.22"/></proof> - <proof prover="4"><result status="valid" time="0.72"/></proof> + <goal name="VC wmpn_toom32_mul.554.0.1" expl="postcondition" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="2.44"/></proof> + <proof prover="4"><result status="valid" time="0.81"/></proof> </goal> </transf> </goal> </transf> </goal> - <goal name="VC toom32_mul.541" expl="postcondition" proved="true"> + <goal name="VC wmpn_toom32_mul.555" expl="postcondition" proved="true"> <proof prover="0"><result status="valid" time="0.23"/></proof> </goal> + <goal name="VC wmpn_toom32_mul.556" expl="exceptional postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.07"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.557" expl="exceptional postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_toom32_mul.558" expl="exceptional postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.09"/></proof> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul" expl="VC for wmpn_mul" proved="true"> + <transf name="split_vc" proved="true" > + <goal name="VC wmpn_mul.0" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.07"/></proof> + </goal> + <goal name="VC wmpn_mul.1" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> + </goal> + <goal name="VC wmpn_mul.2" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.07"/></proof> + </goal> + <goal name="VC wmpn_mul.3" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.04"/></proof> + </goal> + <goal name="VC wmpn_mul.4" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.07"/></proof> + </goal> + <goal name="VC wmpn_mul.5" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> + </goal> + <goal name="VC wmpn_mul.6" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.11"/></proof> + </goal> + <goal name="VC wmpn_mul.7" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.07"/></proof> + </goal> + <goal name="VC wmpn_mul.8" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.14"/></proof> + </goal> + <goal name="VC wmpn_mul.9" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.14"/></proof> + </goal> + <goal name="VC wmpn_mul.10" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.09"/></proof> + </goal> + <goal name="VC wmpn_mul.11" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.10"/></proof> + </goal> + <goal name="VC wmpn_mul.12" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.12"/></proof> + </goal> + <goal name="VC wmpn_mul.13" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.14" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.14"/></proof> + </goal> + <goal name="VC wmpn_mul.15" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.16"/></proof> + </goal> + <goal name="VC wmpn_mul.16" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.12"/></proof> + </goal> + <goal name="VC wmpn_mul.17" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> + </goal> + <goal name="VC wmpn_mul.18" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.12"/></proof> + </goal> + <goal name="VC wmpn_mul.19" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.14"/></proof> + </goal> + <goal name="VC wmpn_mul.20" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.14"/></proof> + </goal> + <goal name="VC wmpn_mul.21" expl="division by zero" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> + </goal> + <goal name="VC wmpn_mul.22" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.10"/></proof> + </goal> + <goal name="VC wmpn_mul.23" expl="assertion" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.34"/></proof> + </goal> + <goal name="VC wmpn_mul.24" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.15"/></proof> + </goal> + <goal name="VC wmpn_mul.25" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.16"/></proof> + </goal> + <goal name="VC wmpn_mul.26" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.12"/></proof> + </goal> + <goal name="VC wmpn_mul.27" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.11"/></proof> + </goal> + <goal name="VC wmpn_mul.28" expl="variant decrease" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.05"/></proof> + </goal> + <goal name="VC wmpn_mul.29" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.19"/></proof> + </goal> + <goal name="VC wmpn_mul.30" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> + </goal> + <goal name="VC wmpn_mul.31" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.17"/></proof> + </goal> + <goal name="VC wmpn_mul.32" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> + </goal> + <goal name="VC wmpn_mul.33" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.11"/></proof> + </goal> + <goal name="VC wmpn_mul.34" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.22"/></proof> + </goal> + <goal name="VC wmpn_mul.35" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.26"/></proof> + </goal> + <goal name="VC wmpn_mul.36" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.22"/></proof> + </goal> + <goal name="VC wmpn_mul.37" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.48"/></proof> + </goal> + <goal name="VC wmpn_mul.38" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.15"/></proof> + </goal> + <goal name="VC wmpn_mul.39" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.18"/></proof> + </goal> + <goal name="VC wmpn_mul.40" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.31"/></proof> + </goal> + <goal name="VC wmpn_mul.41" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.18"/></proof> + </goal> + <goal name="VC wmpn_mul.42" expl="loop invariant init" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.14"/></proof> + </goal> + <goal name="VC wmpn_mul.43" expl="loop invariant init" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.12"/></proof> + </goal> + <goal name="VC wmpn_mul.44" expl="loop invariant init" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> + </goal> + <goal name="VC wmpn_mul.45" expl="loop invariant init" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.26"/></proof> + </goal> + <goal name="VC wmpn_mul.46" expl="loop invariant init" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.11"/></proof> + </goal> + <goal name="VC wmpn_mul.47" expl="loop invariant init" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.10"/></proof> + </goal> + <goal name="VC wmpn_mul.48" expl="loop invariant init" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.14"/></proof> + </goal> + <goal name="VC wmpn_mul.49" expl="loop invariant init" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> + </goal> + <goal name="VC wmpn_mul.50" expl="loop invariant init" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.05"/></proof> + </goal> + <goal name="VC wmpn_mul.51" expl="loop invariant init" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.07"/></proof> + </goal> + <goal name="VC wmpn_mul.52" expl="loop invariant init" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.07"/></proof> + </goal> + <goal name="VC wmpn_mul.53" expl="loop invariant init" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.54" expl="loop invariant init" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.04"/></proof> + </goal> + <goal name="VC wmpn_mul.55" expl="loop invariant init" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.13"/></proof> + </goal> + <goal name="VC wmpn_mul.56" expl="loop invariant init" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> + </goal> + <goal name="VC wmpn_mul.57" expl="loop invariant init" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.11"/></proof> + </goal> + <goal name="VC wmpn_mul.58" expl="loop invariant init" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.05"/></proof> + </goal> + <goal name="VC wmpn_mul.59" expl="loop invariant init" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> + </goal> + <goal name="VC wmpn_mul.60" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.21"/></proof> + </goal> + <goal name="VC wmpn_mul.61" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.07"/></proof> + </goal> + <goal name="VC wmpn_mul.62" expl="assertion" proved="true"> + <proof prover="5" timelimit="1"><result status="valid" time="0.52" steps="177"/></proof> + </goal> + <goal name="VC wmpn_mul.63" expl="variant decrease" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.04"/></proof> + </goal> + <goal name="VC wmpn_mul.64" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.30"/></proof> + </goal> + <goal name="VC wmpn_mul.65" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.66" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.60"/></proof> + </goal> + <goal name="VC wmpn_mul.67" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.07"/></proof> + </goal> + <goal name="VC wmpn_mul.68" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.16"/></proof> + </goal> + <goal name="VC wmpn_mul.69" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.15"/></proof> + </goal> + <goal name="VC wmpn_mul.70" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.54"/></proof> + </goal> + <goal name="VC wmpn_mul.71" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.14"/></proof> + </goal> + <goal name="VC wmpn_mul.72" expl="precondition" proved="true"> + <proof prover="3" timelimit="1"><result status="valid" time="0.33"/></proof> + </goal> + <goal name="VC wmpn_mul.73" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.44"/></proof> + </goal> + <goal name="VC wmpn_mul.74" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.07"/></proof> + </goal> + <goal name="VC wmpn_mul.75" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.15"/></proof> + </goal> + <goal name="VC wmpn_mul.76" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.27"/></proof> + </goal> + <goal name="VC wmpn_mul.77" expl="precondition" proved="true"> + <proof prover="5" memlimit="2000"><result status="valid" time="1.07" steps="232"/></proof> + </goal> + <goal name="VC wmpn_mul.78" expl="assertion" proved="true"> + <proof prover="5" memlimit="2000"><result status="valid" time="0.81" steps="211"/></proof> + </goal> + <goal name="VC wmpn_mul.79" expl="assertion" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + <proof prover="5" memlimit="2000"><result status="valid" time="0.78" steps="164"/></proof> + </goal> + <goal name="VC wmpn_mul.80" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.09"/></proof> + </goal> + <goal name="VC wmpn_mul.81" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.18"/></proof> + </goal> + <goal name="VC wmpn_mul.82" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.61"/></proof> + </goal> + <goal name="VC wmpn_mul.83" expl="precondition" proved="true"> + <transf name="inline_goal" proved="true" > + <goal name="VC wmpn_mul.83.0" expl="precondition" proved="true"> + <transf name="split_vc" proved="true" > + <goal name="VC wmpn_mul.83.0.0" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.30"/></proof> + </goal> + <goal name="VC wmpn_mul.83.0.1" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.18"/></proof> + </goal> + <goal name="VC wmpn_mul.83.0.2" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.32"/></proof> + </goal> + <goal name="VC wmpn_mul.83.0.3" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.12"/></proof> + </goal> + <goal name="VC wmpn_mul.83.0.4" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.77"/></proof> + </goal> + <goal name="VC wmpn_mul.83.0.5" expl="precondition" proved="true"> + <proof prover="5" timelimit="1"><result status="valid" time="1.22" steps="240"/></proof> + </goal> + </transf> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.84" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.05"/></proof> + <proof prover="5" memlimit="2000"><result status="valid" time="2.58" steps="196"/></proof> + </goal> + <goal name="VC wmpn_mul.85" expl="precondition" proved="true"> + <transf name="inline_goal" proved="true" > + <goal name="VC wmpn_mul.85.0" expl="precondition" proved="true"> + <transf name="assert" proved="true" arg1="(pelts r = pelts rpn)"> + <goal name="VC wmpn_mul.85.0.0" proved="true"> + <proof prover="0"><result status="valid" time="0.02"/></proof> + </goal> + <goal name="VC wmpn_mul.85.0.1" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.20"/></proof> + </goal> + </transf> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.86" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.67"/></proof> + </goal> + <goal name="VC wmpn_mul.87" expl="assertion" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.29"/></proof> + <proof prover="5" memlimit="2000"><result status="valid" time="3.14" steps="240"/></proof> + </goal> + <goal name="VC wmpn_mul.88" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.04"/></proof> + </goal> + <goal name="VC wmpn_mul.89" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.04"/></proof> + </goal> + <goal name="VC wmpn_mul.90" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.16"/></proof> + </goal> + <goal name="VC wmpn_mul.91" expl="assertion" proved="true"> + <transf name="split_vc" proved="true" > + <goal name="VC wmpn_mul.91.0" expl="assertion" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.17"/></proof> + </goal> + <goal name="VC wmpn_mul.91.1" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.03"/></proof> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.92" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.25"/></proof> + </goal> + <goal name="VC wmpn_mul.93" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.17"/></proof> + </goal> + <goal name="VC wmpn_mul.94" expl="assertion" proved="true"> + <transf name="split_vc" proved="true" > + <goal name="VC wmpn_mul.94.0" expl="assertion" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.25"/></proof> + </goal> + <goal name="VC wmpn_mul.94.1" expl="assertion" proved="true"> + <transf name="assert" proved="true" arg1="(value rp sr = value_sub (pelts r) (offset r + ou) (offset r + o))"> + <goal name="VC wmpn_mul.94.1.0" proved="true"> + <proof prover="0"><result status="valid" time="0.10"/></proof> + </goal> + <goal name="VC wmpn_mul.94.1.1" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.04"/></proof> + </goal> + </transf> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.95" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.16"/></proof> + </goal> + <goal name="VC wmpn_mul.96" expl="assertion" proved="true"> + <proof prover="5" memlimit="2000"><result status="valid" time="5.63" steps="264"/></proof> + </goal> + <goal name="VC wmpn_mul.97" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.37"/></proof> + </goal> + <goal name="VC wmpn_mul.98" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.17"/></proof> + </goal> + <goal name="VC wmpn_mul.99" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.46"/></proof> + </goal> + <goal name="VC wmpn_mul.100" expl="assertion" proved="true"> + <transf name="split_vc" proved="true" > + <goal name="VC wmpn_mul.100.0" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.61"/></proof> + </goal> + <goal name="VC wmpn_mul.100.1" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.33"/></proof> + </goal> + <goal name="VC wmpn_mul.100.2" expl="assertion" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.100.3" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.05"/></proof> + </goal> + <goal name="VC wmpn_mul.100.4" expl="assertion" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.100.5" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.02"/></proof> + </goal> + <goal name="VC wmpn_mul.100.6" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.03"/></proof> + </goal> + <goal name="VC wmpn_mul.100.7" expl="assertion" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.100.8" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.03"/></proof> + </goal> + <goal name="VC wmpn_mul.100.9" expl="VC for wmpn_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.12"/></proof> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.101" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.23"/></proof> + </goal> + <goal name="VC wmpn_mul.102" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.09"/></proof> + </goal> + <goal name="VC wmpn_mul.103" expl="assertion" proved="true"> + <transf name="assert" proved="true" arg1="(value rpn su = value_sub (pelts r) (offset r + or) (offset r + ou + sr))"> + <goal name="VC wmpn_mul.103.0" proved="true"> + <transf name="inline_goal" proved="true" > + <goal name="VC wmpn_mul.103.0.0" proved="true"> + <transf name="apply" proved="true" arg1="value_sub_eq"> + <goal name="VC wmpn_mul.103.0.0.0" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.10"/></proof> + </goal> + <goal name="VC wmpn_mul.103.0.0.1" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.13"/></proof> + </goal> + <goal name="VC wmpn_mul.103.0.0.2" proved="true"> + <proof prover="0"><result status="valid" time="0.02"/></proof> + </goal> + </transf> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.103.1" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.38"/></proof> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.104" expl="assertion" proved="true"> + <transf name="split_vc" proved="true" > + <goal name="VC wmpn_mul.104.0" expl="assertion" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="0.95"/></proof> + </goal> + <goal name="VC wmpn_mul.104.1" expl="VC for wmpn_mul" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="0.84"/></proof> + </goal> + <goal name="VC wmpn_mul.104.2" expl="VC for wmpn_mul" proved="true"> + <transf name="apply" proved="true" arg1="prod_compat_strict_lr"> + <goal name="VC wmpn_mul.104.2.0" proved="true"> + <proof prover="0"><result status="valid" time="0.05"/></proof> + </goal> + <goal name="VC wmpn_mul.104.2.1" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.88"/></proof> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.104.3" expl="VC for wmpn_mul" proved="true"> + <transf name="rewrite" proved="true" arg1="<-" arg2="Power_sum"> + <goal name="VC wmpn_mul.104.3.0" expl="VC for wmpn_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.09"/></proof> + </goal> + <goal name="VC wmpn_mul.104.3.1" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.12"/></proof> + </goal> + <goal name="VC wmpn_mul.104.3.2" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.104.4" expl="VC for wmpn_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.11"/></proof> + </goal> + <goal name="VC wmpn_mul.104.5" expl="VC for wmpn_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.104.6" expl="VC for wmpn_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.05"/></proof> + </goal> + <goal name="VC wmpn_mul.104.7" expl="VC for wmpn_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.09"/></proof> + </goal> + <goal name="VC wmpn_mul.104.8" expl="VC for wmpn_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="1.16"/></proof> + </goal> + <goal name="VC wmpn_mul.104.9" expl="VC for wmpn_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.22"/></proof> + </goal> + <goal name="VC wmpn_mul.104.10" expl="VC for wmpn_mul" proved="true"> + <transf name="apply" proved="true" arg1="Power_sum"> + <goal name="VC wmpn_mul.104.10.0" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.13"/></proof> + </goal> + <goal name="VC wmpn_mul.104.10.1" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.12"/></proof> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.104.11" expl="VC for wmpn_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.36"/></proof> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.105" expl="precondition" proved="true"> + <transf name="inline_goal" proved="true" > + <goal name="VC wmpn_mul.105.0" expl="precondition" proved="true"> + <transf name="split_vc" proved="true" > + <goal name="VC wmpn_mul.105.0.0" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.20"/></proof> + </goal> + <goal name="VC wmpn_mul.105.0.1" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.10"/></proof> + </goal> + <goal name="VC wmpn_mul.105.0.2" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.45"/></proof> + </goal> + <goal name="VC wmpn_mul.105.0.3" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.12"/></proof> + </goal> + <goal name="VC wmpn_mul.105.0.4" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.91"/></proof> + </goal> + <goal name="VC wmpn_mul.105.0.5" expl="precondition" proved="true"> + <transf name="assert" proved="true" arg1="(plength rpn = plength r)"> + <goal name="VC wmpn_mul.105.0.5.0" proved="true"> + <proof prover="0"><result status="valid" time="0.04"/></proof> + </goal> + <goal name="VC wmpn_mul.105.0.5.1" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.23"/></proof> + </goal> + </transf> + </goal> + </transf> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.106" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.107" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> + </goal> + <goal name="VC wmpn_mul.108" expl="precondition" proved="true"> + <transf name="assert" proved="true" arg1="(offset r + p2i or <= offset rpn)"> + <goal name="VC wmpn_mul.108.0" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="0.10"/></proof> + </goal> + <goal name="VC wmpn_mul.108.1" expl="precondition" proved="true"> + <transf name="assert" proved="true" arg1="(pelts r = pelts rpn)"> + <goal name="VC wmpn_mul.108.1.0" proved="true"> + <proof prover="0"><result status="valid" time="0.02"/></proof> + </goal> + <goal name="VC wmpn_mul.108.1.1" expl="precondition" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="1.72"/></proof> + </goal> + </transf> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.109" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.05"/></proof> + </goal> + <goal name="VC wmpn_mul.110" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.24"/></proof> + </goal> + <goal name="VC wmpn_mul.111" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.09"/></proof> + </goal> + <goal name="VC wmpn_mul.112" expl="assertion" proved="true"> + <transf name="split_vc" proved="true" > + <goal name="VC wmpn_mul.112.0" expl="assertion" proved="true"> + <transf name="assert" proved="true" arg1="(value rpn su = value_sub (pelts r) (offset r + or) (offset r + ou + sr))"> + <goal name="VC wmpn_mul.112.0.0" proved="true"> + <transf name="inline_goal" proved="true" > + <goal name="VC wmpn_mul.112.0.0.0" proved="true"> + <transf name="apply" proved="true" arg1="value_sub_eq"> + <goal name="VC wmpn_mul.112.0.0.0.0" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.13"/></proof> + </goal> + <goal name="VC wmpn_mul.112.0.0.0.1" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.10"/></proof> + </goal> + <goal name="VC wmpn_mul.112.0.0.0.2" proved="true"> + <proof prover="0"><result status="valid" time="0.01"/></proof> + </goal> + </transf> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.112.0.1" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.54"/></proof> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.112.1" expl="assertion" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.10"/></proof> + </goal> + <goal name="VC wmpn_mul.112.2" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.04"/></proof> + </goal> + <goal name="VC wmpn_mul.112.3" expl="assertion" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.112.4" expl="assertion" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.05"/></proof> + </goal> + <goal name="VC wmpn_mul.112.5" expl="VC for wmpn_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.10"/></proof> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.113" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.40"/></proof> + </goal> + <goal name="VC wmpn_mul.114" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="1.72"/></proof> + </goal> + <goal name="VC wmpn_mul.115" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.36"/></proof> + </goal> + <goal name="VC wmpn_mul.116" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.31"/></proof> + </goal> + <goal name="VC wmpn_mul.117" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.39"/></proof> + </goal> + <goal name="VC wmpn_mul.118" expl="loop variant decrease" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.16"/></proof> + </goal> + <goal name="VC wmpn_mul.119" expl="loop invariant preservation" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.14"/></proof> + </goal> + <goal name="VC wmpn_mul.120" expl="loop invariant preservation" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.18"/></proof> + </goal> + <goal name="VC wmpn_mul.121" expl="loop invariant preservation" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.11"/></proof> + </goal> + <goal name="VC wmpn_mul.122" expl="loop invariant preservation" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="1.28"/></proof> + </goal> + <goal name="VC wmpn_mul.123" expl="loop invariant preservation" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.11"/></proof> + </goal> + <goal name="VC wmpn_mul.124" expl="loop invariant preservation" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.11"/></proof> + </goal> + <goal name="VC wmpn_mul.125" expl="loop invariant preservation" proved="true"> + <proof prover="0"><result status="valid" time="0.12"/></proof> + </goal> + <goal name="VC wmpn_mul.126" expl="loop invariant preservation" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.16"/></proof> + </goal> + <goal name="VC wmpn_mul.127" expl="loop invariant preservation" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.16"/></proof> + </goal> + <goal name="VC wmpn_mul.128" expl="loop invariant preservation" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.17"/></proof> + </goal> + <goal name="VC wmpn_mul.129" expl="loop invariant preservation" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.11"/></proof> + </goal> + <goal name="VC wmpn_mul.130" expl="loop invariant preservation" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.22"/></proof> + </goal> + <goal name="VC wmpn_mul.131" expl="loop invariant preservation" proved="true"> + <proof prover="0"><result status="valid" time="0.03"/></proof> + </goal> + <goal name="VC wmpn_mul.132" expl="loop invariant preservation" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.17"/></proof> + </goal> + <goal name="VC wmpn_mul.133" expl="loop invariant preservation" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.14"/></proof> + </goal> + <goal name="VC wmpn_mul.134" expl="loop invariant preservation" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.11"/></proof> + </goal> + <goal name="VC wmpn_mul.135" expl="loop invariant preservation" proved="true"> + <proof prover="0"><result status="valid" time="0.02"/></proof> + </goal> + <goal name="VC wmpn_mul.136" expl="loop invariant preservation" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.16"/></proof> + </goal> + <goal name="VC wmpn_mul.137" expl="exceptional postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.04"/></proof> + </goal> + <goal name="VC wmpn_mul.138" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.07"/></proof> + </goal> + <goal name="VC wmpn_mul.139" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.07"/></proof> + <proof prover="5" timelimit="1"><result status="valid" time="0.36" steps="177"/></proof> + </goal> + <goal name="VC wmpn_mul.140" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.22"/></proof> + </goal> + <goal name="VC wmpn_mul.141" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.18"/></proof> + </goal> + <goal name="VC wmpn_mul.142" expl="variant decrease" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> + </goal> + <goal name="VC wmpn_mul.143" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.36"/></proof> + </goal> + <goal name="VC wmpn_mul.144" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.07"/></proof> + </goal> + <goal name="VC wmpn_mul.145" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.46"/></proof> + </goal> + <goal name="VC wmpn_mul.146" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.05"/></proof> + </goal> + <goal name="VC wmpn_mul.147" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.13"/></proof> + </goal> + <goal name="VC wmpn_mul.148" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.09"/></proof> + </goal> + <goal name="VC wmpn_mul.149" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.51"/></proof> + </goal> + <goal name="VC wmpn_mul.150" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.11"/></proof> + </goal> + <goal name="VC wmpn_mul.151" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.12"/></proof> + </goal> + <goal name="VC wmpn_mul.152" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.12"/></proof> + </goal> + <goal name="VC wmpn_mul.153" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.154" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.14"/></proof> + </goal> + <goal name="VC wmpn_mul.155" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.10"/></proof> + </goal> + <goal name="VC wmpn_mul.156" expl="exceptional postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.04"/></proof> + </goal> + <goal name="VC wmpn_mul.157" expl="variant decrease" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.07"/></proof> + </goal> + <goal name="VC wmpn_mul.158" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.51"/></proof> + </goal> + <goal name="VC wmpn_mul.159" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.160" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.48"/></proof> + </goal> + <goal name="VC wmpn_mul.161" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> + </goal> + <goal name="VC wmpn_mul.162" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.11"/></proof> + </goal> + <goal name="VC wmpn_mul.163" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.10"/></proof> + </goal> + <goal name="VC wmpn_mul.164" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.43"/></proof> + </goal> + <goal name="VC wmpn_mul.165" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.13"/></proof> + </goal> + <goal name="VC wmpn_mul.166" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.12"/></proof> + </goal> + <goal name="VC wmpn_mul.167" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.14"/></proof> + </goal> + <goal name="VC wmpn_mul.168" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.05"/></proof> + </goal> + <goal name="VC wmpn_mul.169" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.05"/></proof> + </goal> + <goal name="VC wmpn_mul.170" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.171" expl="exceptional postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.172" expl="variant decrease" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.05"/></proof> + </goal> + <goal name="VC wmpn_mul.173" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.174" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.53"/></proof> + </goal> + <goal name="VC wmpn_mul.175" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.46"/></proof> + </goal> + <goal name="VC wmpn_mul.176" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> + </goal> + <goal name="VC wmpn_mul.177" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.13"/></proof> + </goal> + <goal name="VC wmpn_mul.178" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.24"/></proof> + </goal> + <goal name="VC wmpn_mul.179" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.18"/></proof> + </goal> + <goal name="VC wmpn_mul.180" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.181" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.05"/></proof> + </goal> + <goal name="VC wmpn_mul.182" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.09"/></proof> + </goal> + <goal name="VC wmpn_mul.183" expl="exceptional postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> + </goal> + <goal name="VC wmpn_mul.184" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.10"/></proof> + </goal> + <goal name="VC wmpn_mul.185" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.23"/></proof> + </goal> + <goal name="VC wmpn_mul.186" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.20"/></proof> + </goal> + <goal name="VC wmpn_mul.187" expl="precondition" proved="true"> + <transf name="inline_goal" proved="true" > + <goal name="VC wmpn_mul.187.0" expl="precondition" proved="true"> + <proof prover="0"><result status="valid" time="0.04"/></proof> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.188" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.02"/></proof> + </goal> + <goal name="VC wmpn_mul.189" expl="assertion" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.16"/></proof> + </goal> + <goal name="VC wmpn_mul.190" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.10"/></proof> + </goal> + <goal name="VC wmpn_mul.191" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.10"/></proof> + </goal> + <goal name="VC wmpn_mul.192" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.67"/></proof> + </goal> + <goal name="VC wmpn_mul.193" expl="precondition" proved="true"> + <proof prover="5" timelimit="1"><result status="valid" time="1.50" steps="251"/></proof> + </goal> + <goal name="VC wmpn_mul.194" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.15"/></proof> + </goal> + <goal name="VC wmpn_mul.195" expl="precondition" proved="true"> + <transf name="inline_goal" proved="true" > + <goal name="VC wmpn_mul.195.0" expl="precondition" proved="true"> + <transf name="assert" proved="true" arg1="(pelts r = pelts rpn)"> + <goal name="VC wmpn_mul.195.0.0" proved="true"> + <proof prover="0"><result status="valid" time="0.03"/></proof> + </goal> + <goal name="VC wmpn_mul.195.0.1" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.20"/></proof> + </goal> + </transf> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.196" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.47"/></proof> + </goal> + <goal name="VC wmpn_mul.197" expl="assertion" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.19"/></proof> + </goal> + <goal name="VC wmpn_mul.198" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.03"/></proof> + </goal> + <goal name="VC wmpn_mul.199" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.02"/></proof> + </goal> + <goal name="VC wmpn_mul.200" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.29"/></proof> + </goal> + <goal name="VC wmpn_mul.201" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.10"/></proof> + </goal> + <goal name="VC wmpn_mul.202" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.02"/></proof> + </goal> + <goal name="VC wmpn_mul.203" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.40"/></proof> + </goal> + <goal name="VC wmpn_mul.204" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.17"/></proof> + </goal> + <goal name="VC wmpn_mul.205" expl="assertion" proved="true"> + <transf name="split_vc" proved="true" > + <goal name="VC wmpn_mul.205.0" expl="assertion" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.18"/></proof> + </goal> + <goal name="VC wmpn_mul.205.1" expl="assertion" proved="true"> + <transf name="assert" proved="true" arg1="(value rp sr = value_sub (pelts r) (offset r + ou) (offset r + o))"> + <goal name="VC wmpn_mul.205.1.0" proved="true"> + <proof prover="0"><result status="valid" time="0.09"/></proof> + </goal> + <goal name="VC wmpn_mul.205.1.1" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.04"/></proof> + </goal> + </transf> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.206" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.14"/></proof> + </goal> + <goal name="VC wmpn_mul.207" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.08"/></proof> + </goal> + <goal name="VC wmpn_mul.208" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.32"/></proof> + </goal> + <goal name="VC wmpn_mul.209" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.10"/></proof> + </goal> + <goal name="VC wmpn_mul.210" expl="assertion" proved="true"> + <transf name="assert" proved="true" arg1="(value up un = value_sub (pelts x) (offset x + ou) (offset x + o))"> + <goal name="VC wmpn_mul.210.0" proved="true"> + <proof prover="0"><result status="valid" time="0.08"/></proof> + </goal> + <goal name="VC wmpn_mul.210.1" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.03"/></proof> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.211" expl="assertion" proved="true"> + <transf name="split_vc" proved="true" > + <goal name="VC wmpn_mul.211.0" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.46"/></proof> + </goal> + <goal name="VC wmpn_mul.211.1" expl="assertion" proved="true"> + <transf name="assert" proved="true" arg1="(value rp sr = value rp sy + power radix sy * value wsy un)"> + <goal name="VC wmpn_mul.211.1.0" proved="true"> + <proof prover="0"><result status="valid" time="0.03"/></proof> + </goal> + <goal name="VC wmpn_mul.211.1.1" expl="assertion" proved="true"> + <proof prover="4"><result status="valid" time="0.19"/></proof> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.211.2" expl="assertion" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.05"/></proof> + </goal> + <goal name="VC wmpn_mul.211.3" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.03"/></proof> + </goal> + <goal name="VC wmpn_mul.211.4" expl="assertion" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.04"/></proof> + </goal> + <goal name="VC wmpn_mul.211.5" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.03"/></proof> + </goal> + <goal name="VC wmpn_mul.211.6" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.03"/></proof> + </goal> + <goal name="VC wmpn_mul.211.7" expl="assertion" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.211.8" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.03"/></proof> + </goal> + <goal name="VC wmpn_mul.211.9" expl="VC for wmpn_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.20"/></proof> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.212" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.18"/></proof> + </goal> + <goal name="VC wmpn_mul.213" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.10"/></proof> + </goal> + <goal name="VC wmpn_mul.214" expl="assertion" proved="true"> + <transf name="assert" proved="true" arg1="(value rpn un = value_sub (pelts r) (offset r + or) (offset r + o))"> + <goal name="VC wmpn_mul.214.0" proved="true"> + <transf name="inline_goal" proved="true" > + <goal name="VC wmpn_mul.214.0.0" proved="true"> + <transf name="apply" proved="true" arg1="value_sub_eq"> + <goal name="VC wmpn_mul.214.0.0.0" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.12"/></proof> + </goal> + <goal name="VC wmpn_mul.214.0.0.1" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.11"/></proof> + </goal> + <goal name="VC wmpn_mul.214.0.0.2" proved="true"> + <proof prover="0"><result status="valid" time="0.03"/></proof> + </goal> + </transf> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.214.1" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.03"/></proof> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.215" expl="assertion" proved="true"> + <transf name="split_vc" proved="true" > + <goal name="VC wmpn_mul.215.0" expl="assertion" proved="true"> + <transf name="unfold" proved="true" arg1="value"> + <goal name="VC wmpn_mul.215.0.0" expl="assertion" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.38"/></proof> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.215.1" expl="VC for wmpn_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.90"/></proof> + </goal> + <goal name="VC wmpn_mul.215.2" expl="VC for wmpn_mul" proved="true"> + <transf name="apply" proved="true" arg1="prod_compat_strict_lr"> + <goal name="VC wmpn_mul.215.2.0" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.92"/></proof> + </goal> + <goal name="VC wmpn_mul.215.2.1" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="1.08"/></proof> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.215.3" expl="VC for wmpn_mul" proved="true"> + <proof prover="3" timelimit="1"><result status="valid" time="0.10"/></proof> + </goal> + <goal name="VC wmpn_mul.215.4" expl="VC for wmpn_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.18"/></proof> + </goal> + <goal name="VC wmpn_mul.215.5" expl="VC for wmpn_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.215.6" expl="VC for wmpn_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.215.7" expl="VC for wmpn_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.17"/></proof> + </goal> + <goal name="VC wmpn_mul.215.8" expl="VC for wmpn_mul" proved="true"> + <proof prover="0"><result status="valid" time="0.02"/></proof> + </goal> + <goal name="VC wmpn_mul.215.9" expl="VC for wmpn_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.19"/></proof> + </goal> + <goal name="VC wmpn_mul.215.10" expl="VC for wmpn_mul" proved="true"> + <proof prover="3" timelimit="1"><result status="valid" time="0.12"/></proof> + </goal> + <goal name="VC wmpn_mul.215.11" expl="VC for wmpn_mul" proved="true"> + <proof prover="4"><result status="valid" time="0.39"/></proof> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.216" expl="precondition" proved="true"> + <transf name="inline_goal" proved="true" > + <goal name="VC wmpn_mul.216.0" expl="precondition" proved="true"> + <transf name="split_vc" proved="true" > + <goal name="VC wmpn_mul.216.0.0" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.28"/></proof> + </goal> + <goal name="VC wmpn_mul.216.0.1" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.17"/></proof> + </goal> + <goal name="VC wmpn_mul.216.0.2" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.36"/></proof> + </goal> + <goal name="VC wmpn_mul.216.0.3" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> + </goal> + <goal name="VC wmpn_mul.216.0.4" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.10"/></proof> + </goal> + <goal name="VC wmpn_mul.216.0.5" expl="precondition" proved="true"> + <transf name="replace" proved="true" arg1="(plength rpn)" arg2="(plength r)"> + <goal name="VC wmpn_mul.216.0.5.0" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.43"/></proof> + </goal> + <goal name="VC wmpn_mul.216.0.5.1" proved="true"> + <proof prover="0"><result status="valid" time="0.03"/></proof> + </goal> + </transf> + </goal> + </transf> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.217" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.10"/></proof> + </goal> + <goal name="VC wmpn_mul.218" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.219" expl="precondition" proved="true"> + <transf name="inline_goal" proved="true" > + <goal name="VC wmpn_mul.219.0" expl="precondition" proved="true"> + <transf name="assert" proved="true" arg1="(offset r + or = offset rpn)"> + <goal name="VC wmpn_mul.219.0.0" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.14"/></proof> + </goal> + <goal name="VC wmpn_mul.219.0.1" expl="precondition" proved="true"> + <proof prover="0"><result status="valid" time="0.05"/></proof> + </goal> + </transf> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.220" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.03"/></proof> + </goal> + <goal name="VC wmpn_mul.221" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.26"/></proof> + </goal> + <goal name="VC wmpn_mul.222" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.18"/></proof> + </goal> + <goal name="VC wmpn_mul.223" expl="assertion" proved="true"> + <transf name="split_vc" proved="true" > + <goal name="VC wmpn_mul.223.0" expl="assertion" proved="true"> + <transf name="assert" proved="true" arg1="(value rpn un = value_sub (pelts r) (offset r + or) (offset r + o))"> + <goal name="VC wmpn_mul.223.0.0" proved="true"> + <transf name="inline_goal" proved="true" > + <goal name="VC wmpn_mul.223.0.0.0" proved="true"> + <transf name="apply" proved="true" arg1="value_sub_eq"> + <goal name="VC wmpn_mul.223.0.0.0.0" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.13"/></proof> + </goal> + <goal name="VC wmpn_mul.223.0.0.0.1" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.11"/></proof> + </goal> + <goal name="VC wmpn_mul.223.0.0.0.2" proved="true"> + <proof prover="0"><result status="valid" time="0.02"/></proof> + </goal> + </transf> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.223.0.1" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.04"/></proof> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.223.1" expl="assertion" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.05"/></proof> + </goal> + <goal name="VC wmpn_mul.223.2" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.04"/></proof> + </goal> + <goal name="VC wmpn_mul.223.3" expl="assertion" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.223.4" expl="assertion" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.05"/></proof> + </goal> + <goal name="VC wmpn_mul.223.5" expl="VC for wmpn_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.09"/></proof> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.224" expl="assertion" proved="true"> + <transf name="split_vc" proved="true" > + <goal name="VC wmpn_mul.224.0" expl="assertion" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.12"/></proof> + </goal> + <goal name="VC wmpn_mul.224.1" expl="assertion" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.224.2" expl="VC for wmpn_mul" proved="true"> + <proof prover="0"><result status="valid" time="0.05"/></proof> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.225" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.226" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.09"/></proof> + </goal> + <goal name="VC wmpn_mul.227" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.15"/></proof> + </goal> + <goal name="VC wmpn_mul.228" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.229" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.05"/></proof> + </goal> + <goal name="VC wmpn_mul.230" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.09"/></proof> + </goal> + <goal name="VC wmpn_mul.231" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.17"/></proof> + </goal> + <goal name="VC wmpn_mul.232" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.13"/></proof> + </goal> + <goal name="VC wmpn_mul.233" expl="precondition" proved="true"> + <proof prover="1" memlimit="2000"><result status="valid" time="2.58"/></proof> + <transf name="inline_goal" proved="true" > + <goal name="VC wmpn_mul.233.0" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.54"/></proof> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.234" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.17"/></proof> + </goal> + <goal name="VC wmpn_mul.235" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.17"/></proof> + </goal> + <goal name="VC wmpn_mul.236" expl="precondition" proved="true"> + <transf name="inline_goal" proved="true" > + <goal name="VC wmpn_mul.236.0" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.38"/></proof> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.237" expl="assertion" proved="true"> + <transf name="split_vc" proved="true" > + <goal name="VC wmpn_mul.237.0" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.11"/></proof> + </goal> + <goal name="VC wmpn_mul.237.1" expl="assertion" proved="true"> + <proof prover="0"><result status="valid" time="0.11"/></proof> + </goal> + <goal name="VC wmpn_mul.237.2" expl="VC for wmpn_mul" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.10"/></proof> + </goal> + </transf> + </goal> + <goal name="VC wmpn_mul.238" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.20"/></proof> + </goal> + <goal name="VC wmpn_mul.239" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.13"/></proof> + </goal> + <goal name="VC wmpn_mul.240" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.22"/></proof> + </goal> + <goal name="VC wmpn_mul.241" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.07"/></proof> + </goal> + <goal name="VC wmpn_mul.242" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.44"/></proof> + </goal> + <goal name="VC wmpn_mul.243" expl="exceptional postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.04"/></proof> + </goal> + <goal name="VC wmpn_mul.244" expl="exceptional postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.05"/></proof> + </goal> + <goal name="VC wmpn_mul.245" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.11"/></proof> + </goal> + <goal name="VC wmpn_mul.246" expl="integer overflow" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.10"/></proof> + </goal> + <goal name="VC wmpn_mul.247" expl="variant decrease" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.07"/></proof> + </goal> + <goal name="VC wmpn_mul.248" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.04"/></proof> + </goal> + <goal name="VC wmpn_mul.249" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.250" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> + </goal> + <goal name="VC wmpn_mul.251" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.252" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.10"/></proof> + </goal> + <goal name="VC wmpn_mul.253" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.04"/></proof> + </goal> + <goal name="VC wmpn_mul.254" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.14"/></proof> + </goal> + <goal name="VC wmpn_mul.255" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> + </goal> + <goal name="VC wmpn_mul.256" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.19"/></proof> + </goal> + <goal name="VC wmpn_mul.257" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.11"/></proof> + </goal> + <goal name="VC wmpn_mul.258" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.05"/></proof> + </goal> + <goal name="VC wmpn_mul.259" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.260" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.12"/></proof> + </goal> + <goal name="VC wmpn_mul.261" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.07"/></proof> + </goal> + <goal name="VC wmpn_mul.262" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> + </goal> + <goal name="VC wmpn_mul.263" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.26"/></proof> + </goal> + <goal name="VC wmpn_mul.264" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.12"/></proof> + </goal> + <goal name="VC wmpn_mul.265" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.11"/></proof> + </goal> + <goal name="VC wmpn_mul.266" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.22"/></proof> + </goal> + <goal name="VC wmpn_mul.267" expl="assertion" proved="true"> + <proof prover="5" timelimit="1"><result status="valid" time="0.11" steps="137"/></proof> + </goal> + <goal name="VC wmpn_mul.268" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.10"/></proof> + </goal> + <goal name="VC wmpn_mul.269" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.10"/></proof> + </goal> + <goal name="VC wmpn_mul.270" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.25"/></proof> + </goal> + <goal name="VC wmpn_mul.271" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.09"/></proof> + </goal> + <goal name="VC wmpn_mul.272" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.17"/></proof> + </goal> + <goal name="VC wmpn_mul.273" expl="exceptional postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.05"/></proof> + </goal> + <goal name="VC wmpn_mul.274" expl="variant decrease" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.05"/></proof> + </goal> + <goal name="VC wmpn_mul.275" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.07"/></proof> + </goal> + <goal name="VC wmpn_mul.276" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.277" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.278" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.05"/></proof> + </goal> + <goal name="VC wmpn_mul.279" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.10"/></proof> + </goal> + <goal name="VC wmpn_mul.280" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.281" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.14"/></proof> + </goal> + <goal name="VC wmpn_mul.282" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> + </goal> + <goal name="VC wmpn_mul.283" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.10"/></proof> + </goal> + <goal name="VC wmpn_mul.284" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.08"/></proof> + </goal> + <goal name="VC wmpn_mul.285" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.04"/></proof> + </goal> + <goal name="VC wmpn_mul.286" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.05"/></proof> + </goal> + <goal name="VC wmpn_mul.287" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.288" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.289" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.07"/></proof> + </goal> + <goal name="VC wmpn_mul.290" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.16"/></proof> + </goal> + <goal name="VC wmpn_mul.291" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.07"/></proof> + </goal> + <goal name="VC wmpn_mul.292" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.07"/></proof> + </goal> + <goal name="VC wmpn_mul.293" expl="precondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.24"/></proof> + </goal> + <goal name="VC wmpn_mul.294" expl="assertion" proved="true"> + <proof prover="5" timelimit="1"><result status="valid" time="0.11" steps="137"/></proof> + </goal> + <goal name="VC wmpn_mul.295" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.10"/></proof> + </goal> + <goal name="VC wmpn_mul.296" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.19"/></proof> + </goal> + <goal name="VC wmpn_mul.297" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.13"/></proof> + </goal> + <goal name="VC wmpn_mul.298" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.05"/></proof> + </goal> + <goal name="VC wmpn_mul.299" expl="postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.15"/></proof> + </goal> + <goal name="VC wmpn_mul.300" expl="exceptional postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.06"/></proof> + </goal> + <goal name="VC wmpn_mul.301" expl="exceptional postcondition" proved="true"> + <proof prover="1" timelimit="1"><result status="valid" time="0.04"/></proof> + </goal> </transf> </goal> </theory> diff --git a/examples/multiprecision/toom/why3shapes.gz b/examples/multiprecision/toom/why3shapes.gz index 925d9b99cf401ba64bd8ce863c54637be47bd839..d007990eaac63942a539cdb55df9e76a67851d78 100644 Binary files a/examples/multiprecision/toom/why3shapes.gz and b/examples/multiprecision/toom/why3shapes.gz differ diff --git a/examples/multiprecision/util/why3shapes.gz b/examples/multiprecision/util/why3shapes.gz index 861434c21898fa6f31e50e198e258112bd273b62..d21bded2316fde9f240032b00bdf109f9203dbbe 100644 Binary files a/examples/multiprecision/util/why3shapes.gz and b/examples/multiprecision/util/why3shapes.gz differ diff --git a/stdlib/mach/c.mlw b/stdlib/mach/c.mlw index 52d99fb8f8d6bd8f2b20a55230e6337427eac486..e7cf16514aeaef917978668e2e270497bcc4398b 100644 --- a/stdlib/mach/c.mlw +++ b/stdlib/mach/c.mlw @@ -31,6 +31,9 @@ module C val null () : ptr 'a ensures { result.zone = null_zone } + val predicate is_not_null (p:ptr 'a) : bool + ensures { result <-> p.zone <> null_zone } + val incr (p:ptr 'a) (ofs:int32) : ptr 'a requires { p.min <= p.offset + ofs <= p.max } ensures { result.offset = p.offset + ofs } @@ -69,7 +72,8 @@ module C p.min <= p.offset + i < p.max predicate valid (p:ptr 'a) (sz:int) = - in_bounds sz /\ 0 <= sz /\ 0 <= p.min <= p.offset /\ p.offset + sz <= p.max <= plength p + in_bounds sz /\ 0 <= sz /\ 0 <= p.min <= p.offset + /\ p.offset + sz <= p.max <= plength p let lemma valid_itv_to_shift (p:ptr 'a) (sz:int) requires { valid p sz } @@ -83,6 +87,19 @@ module C ensures { result.min = 0 } ensures { result.max = plength result } + exception StackOverflow + + let salloc sz + requires { 0 <= sz } + ensures { plength result = sz } + ensures { result.offset = 0 } + ensures { result.min = 0 } + ensures { result.max = sz } + raises { StackOverflow -> true } + = let p = malloc sz in + if is_not_null p then p + else raise StackOverflow + val free (p:ptr 'a) : unit requires { p.offset = 0 } requires { p.min = 0 } @@ -90,6 +107,14 @@ module C writes { p } writes { p.data } + let sfree p + requires { p.offset = 0 } + requires { p.min = 0 } + requires { p.max = plength p } + writes { p } + writes { p.data } + = free p + val realloc (p:ptr 'a) (sz:int32) : ptr 'a requires { 0 <= sz } requires { p.offset = 0 } @@ -107,9 +132,6 @@ module C (pelts result)[i] = (pelts (old p))[i] } ensures { result.zone = null_zone -> p = old p } - val predicate is_not_null (p:ptr 'a) : bool - ensures { result <-> p.zone <> null_zone } - val incr_split (p:ptr 'a) (i:int32) : ptr 'a requires { 0 <= i } requires { p.min <= p.offset + i <= p.max }