%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP756-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 10:18:43 AM UTC 2026
% Result : Unsatisfiable 0.15s 5.78s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 35 ( 35 unt; 0 def)
% Number of atoms : 35 ( 34 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 87 ( 87 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X2,X0,X1] : mult(X0,mult(mult(X1,X1),X2)) = mult(mult(X0,X1),mult(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f6,negated_conjecture,
mult(mult(a,b),c) != mult(a,mult(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f7,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[],[f2,f3]) ).
fof(f14,plain,
! [X2,X0,X1] : mult(rd(X0,X1),mult(mult(X1,X1),X2)) = mult(X0,mult(X1,X2)),
inference(superposition,[],[f5,f3]) ).
fof(f16,plain,
! [X2,X0,X1] : mult(X1,mult(mult(X2,X2),ld(X2,X0))) = mult(mult(X1,X2),X0),
inference(superposition,[],[f5,f1]) ).
fof(f19,plain,
! [X2,X0,X1] : mult(X0,X1) = rd(mult(X0,mult(mult(X1,X1),X2)),mult(X1,X2)),
inference(superposition,[],[f4,f5]) ).
fof(f20,plain,
! [X2,X0,X1] : mult(X1,X2) = ld(mult(X0,X1),mult(X0,mult(mult(X1,X1),X2))),
inference(superposition,[],[f2,f5]) ).
fof(f24,plain,
! [X2,X0,X1] : mult(X2,mult(X0,mult(X0,X1))) = mult(rd(X2,X0),mult(X0,mult(mult(X0,X0),X1))),
inference(superposition,[],[f14,f5]) ).
fof(f25,plain,
! [X2,X0,X1] : mult(X1,mult(X2,ld(mult(X2,X2),X0))) = mult(rd(X1,X2),X0),
inference(superposition,[],[f14,f1]) ).
fof(f40,plain,
! [X2,X0,X1] : rd(mult(mult(X0,X1),X2),mult(mult(X1,X1),ld(X1,X2))) = X0,
inference(superposition,[],[f4,f16]) ).
fof(f41,plain,
! [X2,X0,X1] : mult(mult(X1,X1),ld(X1,X2)) = ld(X0,mult(mult(X0,X1),X2)),
inference(superposition,[],[f2,f16]) ).
fof(f57,plain,
! [X2,X0,X1] : mult(X1,X2) = rd(mult(X1,X0),mult(X2,ld(mult(X2,X2),X0))),
inference(superposition,[],[f19,f1]) ).
fof(f86,plain,
! [X2,X0,X1] : mult(X1,ld(mult(X1,X1),X0)) = ld(mult(X2,X1),mult(X2,X0)),
inference(superposition,[],[f20,f1]) ).
fof(f108,plain,
! [X2,X0,X1] : mult(rd(rd(X0,mult(X1,ld(mult(X1,X1),X2))),X1),X2) = X0,
inference(superposition,[],[f25,f3]) ).
fof(f290,plain,
! [X2,X3,X0,X1] : rd(mult(mult(X3,X1),X2),ld(X0,mult(mult(X0,X1),X2))) = X3,
inference(superposition,[],[f40,f41]) ).
fof(f499,plain,
! [X0,X1] : rd(X0,mult(X1,ld(mult(X1,X1),X1))) = X0,
inference(superposition,[],[f108,f3]) ).
fof(f548,plain,
! [X0,X1] : mult(X1,ld(mult(X1,X1),X1)) = ld(X0,X0),
inference(superposition,[],[f7,f499]) ).
fof(f754,plain,
! [X0,X1] : ld(mult(X1,X1),X1) = ld(X1,ld(X0,X0)),
inference(superposition,[],[f2,f548]) ).
fof(f844,plain,
! [X0,X1] : mult(mult(X0,X0),ld(X0,ld(X1,X1))) = X0,
inference(superposition,[],[f1,f754]) ).
fof(f5109,plain,
! [X2,X3,X0,X1] : rd(mult(mult(X1,ld(X0,ld(X2,X2))),X3),ld(mult(X0,X0),mult(X0,X3))) = X1,
inference(superposition,[],[f290,f844]) ).
fof(f5167,plain,
! [X2,X3,X0,X1] : rd(mult(mult(X1,ld(X0,ld(X2,X2))),X3),mult(X0,ld(mult(X0,X0),X3))) = X1,
inference(forward_demodulation,[],[f5109,f86]) ).
fof(f5198,plain,
! [X2,X0,X1] : mult(mult(X1,ld(X0,ld(X2,X2))),X0) = X1,
inference(forward_demodulation,[],[f5167,f57]) ).
fof(f5388,plain,
! [X0,X1] : mult(ld(X0,X0),X1) = X1,
inference(superposition,[],[f5198,f1]) ).
fof(f5561,plain,
! [X0,X1] : rd(X0,X0) = ld(X1,X1),
inference(superposition,[],[f4,f5388]) ).
fof(f5923,plain,
! [X2,X0] : mult(rd(X0,X0),X2) = X2,
inference(superposition,[],[f5388,f5561]) ).
fof(f8510,plain,
! [X2,X0,X1] : mult(X1,mult(X2,mult(X2,ld(mult(X2,X2),X0)))) = mult(rd(X1,X2),mult(X2,X0)),
inference(superposition,[],[f24,f1]) ).
fof(f8604,plain,
! [X2,X0,X1] : mult(X1,mult(rd(X2,X2),X0)) = mult(rd(X1,X2),mult(X2,X0)),
inference(forward_demodulation,[],[f8510,f25]) ).
fof(f8656,plain,
! [X2,X0,X1] : mult(X1,X0) = mult(rd(X1,X2),mult(X2,X0)),
inference(forward_demodulation,[],[f8604,f5923]) ).
fof(f8710,plain,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = mult(mult(X0,X1),X2),
inference(superposition,[],[f8656,f4]) ).
fof(f9109,plain,
mult(a,mult(b,c)) != mult(a,mult(b,c)),
inference(superposition,[],[f6,f8710]) ).
fof(f9204,plain,
$false,
inference(trivial_inequality_removal,[],[f9109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP756-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/5.39 % Computer : n015.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Sun Sep 27 10:45:36 UTC 2026
% 0.15/5.40 % CPUTime :
% 0.15/5.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/5.43 Running first-order model finding
% 0.15/5.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/5.78 % (1466775)Will run a generic schedule for satisfiability detection.
% 0.15/5.78 % (1466781)% WARNING: option uhcvi not known.
% 0.15/5.78 % (1466782)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4254674831:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/5.78 % (1466781)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1664948187:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/5.78 % (1466780)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2532375900_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/5.78 % (1466783)dis+10_1_sil=32000:sp=arity:random_seed=3764437134:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/5.78 % (1466784)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3478234887:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/5.78 % (1466785)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1640438063:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/5.78 % (1466786)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2793996179:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/5.78 % TRYING [1]
% 0.15/5.78 % TRYING [2]
% 0.15/5.78 % TRYING [3]
% 0.15/5.78 % TRYING [4]
% 0.15/5.78 % TRYING [5]
% 0.15/5.78 % (1466783)Instruction limit reached!
% 0.15/5.78 % (1466783)------------------------------
% 0.15/5.78 % (1466783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/5.78 % (1466783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/5.78 % (1466783)CaDiCaL version: 2.1.3
% 0.15/5.78 % (1466783)Termination reason: Instruction limit
% 0.15/5.78 % (1466783)Termination phase: Saturation
% 0.15/5.78 % (1466783)Time elapsed: 0.058 s
% 0.15/5.78 % (1466783)Peak memory usage: 12 MB
% 0.15/5.78 % (1466783)Instructions burned: 104 (million)
% 0.15/5.78 % (1466784)Instruction limit reached!
% 0.15/5.78 % (1466784)------------------------------
% 0.15/5.78 % (1466784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/5.78 % (1466784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/5.78 % (1466784)CaDiCaL version: 2.1.3
% 0.15/5.78 % (1466784)Termination reason: Instruction limit
% 0.15/5.78 % (1466784)Termination phase: Saturation
% 0.15/5.78 % (1466784)Time elapsed: 0.072 s
% 0.15/5.78 % (1466784)Peak memory usage: 12 MB
% 0.15/5.78 % (1466784)Instructions burned: 117 (million)
% 0.15/5.78 % (1466794)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1768951842:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.15/5.78 % TRYING [1]
% 0.15/5.78 % TRYING [2]
% 0.15/5.78 % TRYING [3]
% 0.15/5.78 % (1466785)Instruction limit reached!
% 0.15/5.78 % (1466785)------------------------------
% 0.15/5.78 % (1466785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/5.78 % (1466785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/5.78 % (1466785)CaDiCaL version: 2.1.3
% 0.15/5.78 % (1466785)Termination reason: Instruction limit
% 0.15/5.78 % (1466785)Termination phase: Saturation
% 0.15/5.78 % (1466785)Time elapsed: 0.080 s
% 0.15/5.78 % (1466785)Peak memory usage: 12 MB
% 0.15/5.78 % (1466785)Instructions burned: 132 (million)
% 0.15/5.78 % TRYING [4]
% 0.15/5.78 % TRYING [6]
% 0.15/5.78 % (1466795)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=479787257:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.15/5.78 % (1466786)Instruction limit reached!
% 0.15/5.78 % (1466786)------------------------------
% 0.15/5.78 % (1466786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/5.78 % (1466786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/5.78 % (1466786)CaDiCaL version: 2.1.3
% 0.15/5.78 % (1466786)Termination reason: Instruction limit
% 0.15/5.78 % (1466786)Termination phase: Saturation
% 0.15/5.78 % (1466786)Time elapsed: 0.098 s
% 0.15/5.78 % (1466786)Peak memory usage: 12 MB
% 0.15/5.78 % (1466786)Instructions burned: 160 (million)
% 0.15/5.78 % TRYING [5]
% 0.15/5.78 % (1466797)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1689347680:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.15/5.78 % (1466799)ott-21_1_sil=16000:fs=off:random_seed=3441565737:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.15/5.78 % (1466795)Instruction limit reached!
% 0.15/5.78 % (1466795)------------------------------
% 0.15/5.78 % (1466795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/5.78 % (1466795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/5.78 % (1466795)CaDiCaL version: 2.1.3
% 0.15/5.78 % (1466795)Termination reason: Instruction limit
% 0.15/5.78 % (1466795)Termination phase: Saturation
% 0.15/5.78 % (1466795)Time elapsed: 0.082 s
% 0.15/5.78 % (1466795)Peak memory usage: 12 MB
% 0.15/5.78 % (1466795)Instructions burned: 132 (million)
% 0.15/5.78 % (1466802)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=813316691:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 0.15/5.78 % (1466799)Instruction limit reached!
% 0.15/5.78 % (1466799)------------------------------
% 0.15/5.78 % (1466799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/5.78 % (1466799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/5.78 % (1466799)CaDiCaL version: 2.1.3
% 0.15/5.78 % (1466799)Termination reason: Instruction limit
% 0.15/5.78 % (1466799)Termination phase: Saturation
% 0.15/5.78 % (1466799)Time elapsed: 0.090 s
% 0.15/5.78 % (1466799)Peak memory usage: 12 MB
% 0.15/5.78 % (1466799)Instructions burned: 180 (million)
% 0.15/5.78 % TRYING [6]
% 0.15/5.78 % (1466804)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=925403344:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 0.15/5.78 % TRYING [1]
% 0.15/5.78 % TRYING [2]
% 0.15/5.78 % TRYING [3]
% 0.15/5.78 % TRYING [4]
% 0.15/5.78 % TRYING [5]
% 0.15/5.78 % TRYING [6]
% 0.15/5.78 % (1466797) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1466775-1466797"...
% 0.15/5.78 % (1466797)...printing done.
% 0.15/5.78 % (1466797)Refutation found. Thanks to Tanya!
% 0.15/5.78 % SZS status Unsatisfiable for theBenchmark
% 0.15/5.78 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/5.78 % (1466797)------------------------------
% 0.15/5.78 % (1466797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/5.78 % (1466797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/5.78 % (1466797)CaDiCaL version: 2.1.3
% 0.15/5.78 % (1466797)Termination reason: Refutation
% 0.15/5.78 % (1466797)Time elapsed: 0.196 s
% 0.15/5.78 % (1466797)Peak memory usage: 15 MB
% 0.15/5.78 % (1466797)Instructions burned: 364 (million)
% 0.15/5.78 % (1466775)Success in time 0.339 s
% 0.15/5.78 % Vampire exiting
%------------------------------------------------------------------------------