%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP393-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:13:50 AM UTC 2026
% Result : Satisfiable 0.16s 1.71s
% Output : Saturation 0.16s
% Verified :
% SZS Type : Derivation
% Derivation depth : 0
% Number of leaves : 1
% Syntax : Number of clauses : 1 ( 1 unt; 0 nHn; 0 RR)
% Number of literals : 1 ( 1 equ; 0 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity_of_multiply,negated_conjecture,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP393-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n010.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 10:01:16 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/1.71 % (715145)Detected a unit-equality problem, will run specialized UEQ schedule.
% 0.16/1.71 % (715152)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3078814235:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 0.16/1.71 % (715150)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=147439554:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 0.16/1.71 % (715154)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1698160869:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 0.16/1.71 % (715151)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3268364937:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 0.16/1.71 % (715153)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3603024440:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 0.16/1.71 % (715155)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1107802611:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 0.16/1.71 % (715153)Refutation not found, incomplete strategy
% 0.16/1.71 % (715153)------------------------------
% 0.16/1.71 % (715153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.71 % (715153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.71 % (715153)CaDiCaL version: 2.1.3
% 0.16/1.71 % (715153)Termination reason: Refutation not found, incomplete strategy
% 0.16/1.71 % (715153)Time elapsed: 0.001 s
% 0.16/1.71 % (715153)Peak memory usage: 86 MB
% 0.16/1.71 % (715155)Refutation not found, incomplete strategy
% 0.16/1.71 % (715155)------------------------------
% 0.16/1.71 % (715155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.71 % (715155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.71 % (715155)CaDiCaL version: 2.1.3
% 0.16/1.71 % (715155)Termination reason: Refutation not found, incomplete strategy
% 0.16/1.71 % (715155)Time elapsed: 0.001 s
% 0.16/1.71 % (715155)Peak memory usage: 87 MB
% 0.16/1.71 % (715154)Refutation not found, incomplete strategy
% 0.16/1.71 % (715154)------------------------------
% 0.16/1.71 % (715154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.71 % (715154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.71 % (715154)CaDiCaL version: 2.1.3
% 0.16/1.71 % (715154)Termination reason: Refutation not found, incomplete strategy
% 0.16/1.71 % (715154)Time elapsed: 0.001 s
% 0.16/1.71 % (715154)Peak memory usage: 87 MB
% 0.16/1.71 % (715156)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2052753928:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 0.16/1.71 % (715156)Refutation not found, incomplete strategy
% 0.16/1.71 % (715156)------------------------------
% 0.16/1.71 % (715156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.71 % (715156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.71 % (715156)CaDiCaL version: 2.1.3
% 0.16/1.71 % (715156)Termination reason: Refutation not found, incomplete strategy
% 0.16/1.71 % (715156)Time elapsed: 0.001 s
% 0.16/1.71 % (715156)Peak memory usage: 86 MB
% 0.16/1.71 [W927 10:01:17.017054667 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 0.16/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 0.16/1.71 [W927 10:01:17.017083931 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 0.16/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 0.16/1.71 % (715155)------------------------------
% 0.16/1.71 % (715155)------------------------------
% 0.16/1.71 % (715153)------------------------------
% 0.16/1.71 % (715153)------------------------------
% 0.16/1.71 % (715154)------------------------------
% 0.16/1.71 % (715154)------------------------------
% 0.16/1.71 % (715156)------------------------------
% 0.16/1.71 % (715156)------------------------------
% 0.16/1.71 % (715152)First to succeed.
% 0.16/1.71 % (715152)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-715145"
% 0.16/1.71 [W927 10:01:17.229048403 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 0.16/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 0.16/1.71 [W927 10:01:17.229071050 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 0.16/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 0.16/1.71 [W927 10:01:17.229088040 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 0.16/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 0.16/1.71 [W927 10:01:17.229097866 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 0.16/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 0.16/1.71 [W927 10:01:17.229290547 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 0.16/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 0.16/1.71 [W927 10:01:17.229306727 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 0.16/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 0.16/1.71 [W927 10:01:17.229337484 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 0.16/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 0.16/1.71 [W927 10:01:17.229349150 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 0.16/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 0.16/1.71 [W927 10:01:17.229375027 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 0.16/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 0.16/1.71 [W927 10:01:17.229397614 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 0.16/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 0.16/1.71 [W927 10:01:17.229427941 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 0.16/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 0.16/1.71 [W927 10:01:17.229439771 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 0.16/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 0.16/1.71 [W927 10:01:17.229465937 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 0.16/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 0.16/1.71 [W927 10:01:17.229528244 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 0.16/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 0.16/1.71 [W927 10:01:17.229562744 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 0.16/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 0.16/1.71 [W927 10:01:17.229574881 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 0.16/1.71 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 0.16/1.71 % (715167)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=2025642520:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2995 on theBenchmark for (2995ds/317Mi)
% 0.16/1.71 % (715166)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3445210875:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 0.16/1.71 % (715165)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1401447472:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 0.16/1.71 % (715164)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=392987288:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 0.16/1.71 % (715166)Refutation not found, incomplete strategy
% 0.16/1.71 % (715166)------------------------------
% 0.16/1.71 % (715166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.71 % (715166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.71 % (715166)CaDiCaL version: 2.1.3
% 0.16/1.71 % (715166)Termination reason: Refutation not found, incomplete strategy
% 0.16/1.71 % (715166)Time elapsed: 0.001 s
% 0.16/1.71 % (715166)Peak memory usage: 87 MB
% 0.16/1.71 % (715167)Also succeeded, but the first one will report.
% 0.16/1.71 % SZS status Satisfiable for theBenchmark
% 0.16/1.71 % SZS output start Saturation.
% See solution above
% 0.16/1.71 % SZS output start Definitions and Model Updates.
% 0.16/1.71 % SZS output end Definitions and Model Updates.
% 0.16/1.71 % (715152)------------------------------
% 0.16/1.71 % (715152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.71 % (715152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.71 % (715152)CaDiCaL version: 2.1.3
% 0.16/1.71 % (715152)Termination reason: Satisfiable
% 0.16/1.71 % (715152)Time elapsed: 0.341 s
% 0.16/1.71 % (715152)Peak memory usage: 127 MB
% 0.16/1.71 % (715152)Instructions burned: 854 (million)
% 0.16/1.71 % (715152)------------------------------
% 0.16/1.71 % (715152)------------------------------
% 0.16/1.71 % (715145)Success in time 0.659 s
% 0.16/1.71 % Vampire exiting
%------------------------------------------------------------------------------