%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP474-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 10:17:55 AM UTC 2026
% Result : Unsatisfiable 1.36s 0.64s
% Output : Refutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 3
% Syntax : Number of formulae : 42 ( 42 unt; 0 def)
% Number of atoms : 42 ( 41 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 11 ( 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 : 162 ( 162 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(divide(inverse(divide(X0,X1)),divide(divide(X2,X3),X0)),divide(X3,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f4,plain,
divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))),
inference(definition_unfolding,[],[f3,f2,f2,f2,f2]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4,X5] : divide(X3,X2) = divide(divide(inverse(X0),divide(divide(X4,X5),divide(inverse(divide(X1,X0)),divide(divide(X2,X3),X1)))),divide(X5,X4)),
inference(superposition,[],[f1,f1]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(inverse(divide(X1,X2)),divide(X0,X1)),divide(divide(X5,X4),divide(inverse(divide(X3,X0)),divide(divide(X4,X5),X3)))) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4] : divide(divide(inverse(divide(divide(X1,X2),X3)),X0),divide(divide(divide(X2,X1),X4),inverse(divide(X4,X0)))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(inverse(divide(X1,X2)),divide(divide(divide(X3,X4),divide(inverse(divide(X5,X0)),divide(divide(X4,X3),X5))),X1)),X0) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f31,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : divide(divide(X2,X3),divide(inverse(X4),divide(divide(X3,X2),divide(inverse(divide(X5,X4)),divide(divide(X1,X0),X5))))) = divide(divide(inverse(X6),divide(divide(X7,X8),divide(inverse(divide(X9,X6)),divide(divide(X0,X1),X9)))),divide(X8,X7)),
inference(superposition,[],[f5,f5]) ).
fof(f49,plain,
! [X2,X3,X0,X1,X4,X5] : divide(X1,X0) = divide(divide(X2,X3),divide(inverse(X4),divide(divide(X3,X2),divide(inverse(divide(X5,X4)),divide(divide(X1,X0),X5))))),
inference(forward_demodulation,[],[f31,f5]) ).
fof(f153,plain,
! [X0,X6,X7,X4,X5] : divide(divide(X4,X5),divide(inverse(X6),divide(divide(X5,X4),divide(inverse(divide(X7,X6)),divide(X0,X7))))) = X0,
inference(superposition,[],[f49,f1]) ).
fof(f238,plain,
! [X2,X3,X0,X1,X4] : divide(divide(divide(divide(divide(X1,X2),inverse(divide(X2,X3))),X4),inverse(divide(X4,X0))),divide(inverse(X3),X0)) = X1,
inference(superposition,[],[f153,f1]) ).
fof(f271,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : divide(divide(inverse(divide(divide(inverse(X1),divide(divide(divide(inverse(divide(X2,X3)),divide(divide(X4,X5),X2)),divide(X5,X4)),divide(inverse(divide(X6,X1)),divide(X0,X6)))),X7)),X0),X3) = X7,
inference(superposition,[],[f8,f153]) ).
fof(f272,plain,
! [X3,X0,X1,X6,X7] : divide(divide(inverse(divide(divide(inverse(X1),divide(X3,divide(inverse(divide(X6,X1)),divide(X0,X6)))),X7)),X0),X3) = X7,
inference(forward_demodulation,[],[f271,f1]) ).
fof(f365,plain,
! [X3,X0,X1,X4] : divide(X4,X3) = divide(divide(inverse(divide(X0,X1)),divide(X1,X0)),divide(X3,X4)),
inference(superposition,[],[f272,f5]) ).
fof(f440,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(X1,divide(X0,divide(X2,X3)))),divide(divide(X3,X2),X1)) = X0,
inference(superposition,[],[f365,f7]) ).
fof(f457,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : divide(divide(inverse(X4),divide(divide(X5,X6),divide(inverse(divide(X7,X4)),divide(divide(X0,X1),X7)))),divide(X6,X5)) = divide(divide(X1,X0),divide(inverse(divide(X2,X3)),divide(X3,X2))),
inference(superposition,[],[f5,f365]) ).
fof(f494,plain,
! [X2,X3,X0,X1] : divide(X1,X0) = divide(divide(X1,X0),divide(inverse(divide(X2,X3)),divide(X3,X2))),
inference(forward_demodulation,[],[f457,f5]) ).
fof(f605,plain,
! [X0,X4,X5] : divide(X0,divide(inverse(divide(X4,X5)),divide(X5,X4))) = X0,
inference(superposition,[],[f494,f1]) ).
fof(f704,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(divide(divide(inverse(divide(X2,X3)),divide(X3,X2)),divide(X4,divide(X1,X0)))),divide(X0,X1)) = X4,
inference(superposition,[],[f440,f494]) ).
fof(f709,plain,
! [X0,X1,X4] : divide(inverse(divide(divide(X1,X0),X4)),divide(X0,X1)) = X4,
inference(forward_demodulation,[],[f704,f365]) ).
fof(f767,plain,
! [X2,X0,X1] : divide(X2,inverse(divide(divide(X0,X1),inverse(divide(X1,X0))))) = X2,
inference(superposition,[],[f605,f605]) ).
fof(f789,plain,
! [X3,X0,X1] : divide(divide(inverse(divide(divide(inverse(X1),X0),X3)),X1),X0) = X3,
inference(superposition,[],[f272,f605]) ).
fof(f1381,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(inverse(X1),inverse(divide(divide(X2,X3),inverse(divide(X3,X2))))),X0)),X1) = X0,
inference(superposition,[],[f767,f789]) ).
fof(f1382,plain,
! [X0,X1] : divide(inverse(divide(inverse(X1),X0)),X1) = X0,
inference(forward_demodulation,[],[f1381,f767]) ).
fof(f1392,plain,
! [X0,X1] : divide(inverse(X0),divide(inverse(X1),X0)) = X1,
inference(superposition,[],[f1382,f1382]) ).
fof(f1460,plain,
! [X0,X1] : inverse(divide(X0,X1)) = divide(X1,X0),
inference(superposition,[],[f1392,f605]) ).
fof(f1536,plain,
! [X2,X0,X1] : inverse(X0) = divide(divide(X2,X1),inverse(divide(divide(X1,X2),X0))),
inference(superposition,[],[f1460,f709]) ).
fof(f1558,plain,
! [X2,X0,X1] : divide(divide(X0,divide(X1,X2)),divide(X2,X1)) = X0,
inference(superposition,[],[f709,f1460]) ).
fof(f1595,plain,
! [X2,X0,X1] : inverse(X0) = divide(divide(X2,X1),divide(X0,divide(X1,X2))),
inference(forward_demodulation,[],[f1536,f1460]) ).
fof(f3798,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(X1,X0)),divide(X2,X1)) = divide(X0,divide(divide(inverse(divide(X5,X2)),divide(divide(X4,X3),X5)),divide(X3,X4))),
inference(superposition,[],[f1558,f6]) ).
fof(f4050,plain,
! [X2,X0,X1] : divide(inverse(divide(X1,X0)),divide(X2,X1)) = divide(X0,X2),
inference(forward_demodulation,[],[f3798,f1]) ).
fof(f4116,plain,
! [X2,X0,X1] : divide(X0,X2) = divide(divide(X0,X1),divide(X2,X1)),
inference(forward_demodulation,[],[f4050,f1460]) ).
fof(f4960,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(divide(divide(divide(X0,X1),inverse(divide(X1,X2))),X3),inverse(divide(X3,X4)))) = divide(divide(X4,inverse(X2)),X0),
inference(superposition,[],[f1595,f238]) ).
fof(f5149,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(divide(X3,X4)),divide(divide(divide(X0,X1),inverse(divide(X1,X2))),X3)) = divide(divide(X4,inverse(X2)),X0),
inference(forward_demodulation,[],[f4960,f1460]) ).
fof(f5285,plain,
! [X2,X3,X0,X1,X4] : divide(divide(X4,inverse(X2)),X0) = divide(inverse(divide(X3,X4)),divide(divide(divide(X0,X1),divide(X2,X1)),X3)),
inference(forward_demodulation,[],[f5149,f1460]) ).
fof(f5363,plain,
! [X2,X3,X0,X4] : divide(divide(X4,inverse(X2)),X0) = divide(inverse(divide(X3,X4)),divide(divide(X0,X2),X3)),
inference(forward_demodulation,[],[f5285,f4116]) ).
fof(f5400,plain,
! [X2,X3,X0,X4] : divide(divide(X4,inverse(X2)),X0) = divide(divide(X4,X3),divide(divide(X0,X2),X3)),
inference(forward_demodulation,[],[f5363,f1460]) ).
fof(f5419,plain,
! [X2,X0,X4] : divide(X4,divide(X0,X2)) = divide(divide(X4,inverse(X2)),X0),
inference(forward_demodulation,[],[f5400,f4116]) ).
fof(f6684,plain,
divide(a3,inverse(divide(b3,inverse(c3)))) != divide(a3,divide(inverse(c3),b3)),
inference(superposition,[],[f4,f5419]) ).
fof(f6703,plain,
divide(a3,divide(inverse(c3),b3)) != divide(a3,divide(inverse(c3),b3)),
inference(forward_demodulation,[],[f6684,f1460]) ).
fof(f6704,plain,
$false,
inference(trivial_inequality_removal,[],[f6703]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP474-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 10:07:26 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 1.36/0.64 % (270577)Will run a generic schedule for satisfiability detection.
% 1.36/0.64 % (270588)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3874524082:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.36/0.64 % (270583)% WARNING: option uhcvi not known.
% 1.36/0.64 % (270582)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=386929375_2999 on theBenchmark for (2999ds/0Mi)
% 1.36/0.64 % (270585)dis+10_1_sil=32000:sp=arity:random_seed=3131387741:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.36/0.64 % (270584)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3176164933:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.36/0.64 % (270586)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=407328414:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.36/0.64 % (270587)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1575923249:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.36/0.64 % TRYING [1]
% 1.36/0.64 % TRYING [2]
% 1.36/0.64 % (270583)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4264103161:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.36/0.64 % TRYING [3]
% 1.36/0.64 % TRYING [4]
% 1.36/0.64 % (270588)Instruction limit reached!
% 1.36/0.64 % (270588)------------------------------
% 1.36/0.64 % (270588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.64 % (270588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.64 % (270588)CaDiCaL version: 2.1.3
% 1.36/0.64 % (270588)Termination reason: Instruction limit
% 1.36/0.64 % (270588)Termination phase: Saturation
% 1.36/0.64 % (270588)Time elapsed: 0.051 s
% 1.36/0.64 % (270588)Peak memory usage: 12 MB
% 1.36/0.64 % (270588)Instructions burned: 162 (million)
% 1.36/0.64 % (270596)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1841251179:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.36/0.64 % TRYING [1]
% 1.36/0.64 % TRYING [2]
% 1.36/0.64 % (270585)Instruction limit reached!
% 1.36/0.64 % (270585)------------------------------
% 1.36/0.64 % (270585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.64 % TRYING [3]
% 1.36/0.64 % (270585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.64 % (270585)CaDiCaL version: 2.1.3
% 1.36/0.64 % (270585)Termination reason: Instruction limit
% 1.36/0.64 % (270585)Termination phase: Saturation
% 1.36/0.64 % (270585)Time elapsed: 0.056 s
% 1.36/0.64 % (270585)Peak memory usage: 12 MB
% 1.36/0.64 % (270585)Instructions burned: 104 (million)
% 1.36/0.64 % TRYING [4]
% 1.36/0.64 % (270586)Instruction limit reached!
% 1.36/0.64 % (270586)------------------------------
% 1.36/0.64 % (270586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.64 % (270586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.64 % (270586)CaDiCaL version: 2.1.3
% 1.36/0.64 % (270586)Termination reason: Instruction limit
% 1.36/0.64 % (270586)Termination phase: Saturation
% 1.36/0.64 % (270586)Time elapsed: 0.068 s
% 1.36/0.64 % (270586)Peak memory usage: 13 MB
% 1.36/0.64 % (270586)Instructions burned: 116 (million)
% 1.36/0.64 % (270598)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=642133006:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.36/0.64 % (270587)Instruction limit reached!
% 1.36/0.64 % (270587)------------------------------
% 1.36/0.64 % (270587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.64 % (270587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.64 % (270587)CaDiCaL version: 2.1.3
% 1.36/0.64 % (270587)Termination reason: Instruction limit
% 1.36/0.64 % (270587)Termination phase: Saturation
% 1.36/0.64 % (270587)Time elapsed: 0.078 s
% 1.36/0.64 % (270587)Peak memory usage: 13 MB
% 1.36/0.64 % (270587)Instructions burned: 131 (million)
% 1.36/0.64 % (270599)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=2889245243:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.36/0.64 % (270601)ott-21_1_sil=16000:fs=off:random_seed=893192126:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.36/0.64 % TRYING [5]
% 1.36/0.64 % TRYING [5]
% 1.36/0.64 % (270598)Instruction limit reached!
% 1.36/0.64 % (270598)------------------------------
% 1.36/0.64 % (270598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.64 % (270598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.64 % (270598)CaDiCaL version: 2.1.3
% 1.36/0.64 % (270598)Termination reason: Instruction limit
% 1.36/0.64 % (270598)Termination phase: Saturation
% 1.36/0.64 % (270598)Time elapsed: 0.076 s
% 1.36/0.64 % (270598)Peak memory usage: 12 MB
% 1.36/0.64 % (270598)Instructions burned: 132 (million)
% 1.36/0.64 % (270604)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1687831401:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.36/0.64 % (270601)Instruction limit reached!
% 1.36/0.64 % (270601)------------------------------
% 1.36/0.64 % (270601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.64 % (270601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.64 % (270601)CaDiCaL version: 2.1.3
% 1.36/0.64 % (270601)Termination reason: Instruction limit
% 1.36/0.64 % (270601)Termination phase: Saturation
% 1.36/0.64 % (270601)Time elapsed: 0.080 s
% 1.36/0.64 % (270601)Peak memory usage: 11 MB
% 1.36/0.64 % (270601)Instructions burned: 181 (million)
% 1.36/0.64 % (270584) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-270577-270584"...
% 1.36/0.64 % (270584)...printing done.
% 1.36/0.64 % (270584)Refutation found. Thanks to Tanya!
% 1.36/0.64 % SZS status Unsatisfiable for theBenchmark
% 1.36/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 1.36/0.64 % (270584)------------------------------
% 1.36/0.64 % (270584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.64 % (270584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.64 % (270584)CaDiCaL version: 2.1.3
% 1.36/0.64 % (270584)Termination reason: Refutation
% 1.36/0.64 % (270584)Time elapsed: 0.194 s
% 1.36/0.64 % (270584)Peak memory usage: 16 MB
% 1.36/0.64 % (270584)Instructions burned: 384 (million)
% 1.36/0.64 % (270577)Success in time 0.233 s
% 1.36/0.64 % Vampire exiting
%------------------------------------------------------------------------------