%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP472-1 : 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 : n005.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 10:17:54 AM UTC 2026
% Result : Unsatisfiable 1.38s 0.69s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 3
% Syntax : Number of formulae : 30 ( 30 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 106 ( 106 !; 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(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
fof(f4,plain,
divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)),
inference(definition_unfolding,[],[f3,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(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(f248,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,[],[f248,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(f465,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,[],[f465,f5]) ).
fof(f605,plain,
! [X0,X4,X5] : divide(X0,divide(inverse(divide(X4,X5)),divide(X5,X4))) = X0,
inference(superposition,[],[f494,f1]) ).
fof(f654,plain,
! [X2,X0,X1] : divide(divide(X1,X0),divide(inverse(X2),divide(X0,X1))) = X2,
inference(superposition,[],[f153,f494]) ).
fof(f767,plain,
! [X2,X0,X1] : divide(X2,inverse(divide(divide(X0,X1),inverse(divide(X1,X0))))) = X2,
inference(superposition,[],[f605,f605]) ).
fof(f783,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,f783]) ).
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(f1658,plain,
! [X0,X1] : inverse(divide(X0,X1)) = divide(X1,X0),
inference(superposition,[],[f1392,f605]) ).
fof(f1659,plain,
! [X0,X1] : divide(divide(X1,inverse(X0)),X0) = X1,
inference(superposition,[],[f654,f1392]) ).
fof(f1905,plain,
! [X2,X0,X1] : divide(X1,divide(inverse(divide(X2,divide(X0,inverse(X2)))),X0)) = X1,
inference(superposition,[],[f605,f1659]) ).
fof(f1929,plain,
! [X2,X0,X1] : divide(X1,divide(divide(divide(X0,inverse(X2)),X2),X0)) = X1,
inference(forward_demodulation,[],[f1905,f1658]) ).
fof(f1999,plain,
! [X0,X1] : divide(X1,divide(X0,X0)) = X1,
inference(forward_demodulation,[],[f1929,f1659]) ).
fof(f2151,plain,
! [X2,X0,X1] : divide(divide(inverse(divide(inverse(X0),X1)),X0),X1) = divide(X2,X2),
inference(superposition,[],[f783,f1999]) ).
fof(f2162,plain,
! [X2,X1] : divide(X1,X1) = divide(X2,X2),
inference(forward_demodulation,[],[f2151,f1382]) ).
fof(f2455,plain,
! [X0] : divide(inverse(a1),inverse(a1)) != divide(X0,X0),
inference(superposition,[],[f4,f2162]) ).
fof(f2594,plain,
$false,
inference(forward_subsumption_resolution,[],[f2455,f2162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP472-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 10:05:17 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.43 Running first-order model finding
% 0.10/0.43 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
% 1.38/0.69 % (3762519)Will run a generic schedule for satisfiability detection.
% 1.38/0.69 % (3762528)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=654475442:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.38/0.69 % (3762525)% WARNING: option uhcvi not known.
% 1.38/0.69 % (3762524)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3344598207_2999 on theBenchmark for (2999ds/0Mi)
% 1.38/0.69 % (3762525)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3752388034:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.38/0.69 % (3762526)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3248918037:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.38/0.69 % (3762527)dis+10_1_sil=32000:sp=arity:random_seed=3968433059:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.38/0.69 % (3762530)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1585487993:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.38/0.69 % (3762529)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2070105246:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.38/0.69 % TRYING [1]
% 1.38/0.69 % TRYING [2]
% 1.38/0.69 % TRYING [3]
% 1.38/0.69 % TRYING [4]
% 1.38/0.69 % (3762528)Instruction limit reached!
% 1.38/0.69 % (3762528)------------------------------
% 1.38/0.69 % (3762528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.69 % (3762528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.69 % (3762528)CaDiCaL version: 2.1.3
% 1.38/0.69 % (3762528)Termination reason: Instruction limit
% 1.38/0.69 % (3762528)Termination phase: Saturation
% 1.38/0.69 % (3762528)Time elapsed: 0.059 s
% 1.38/0.69 % (3762528)Peak memory usage: 13 MB
% 1.38/0.69 % (3762528)Instructions burned: 118 (million)
% 1.38/0.69 % (3762527)Instruction limit reached!
% 1.38/0.69 % (3762527)------------------------------
% 1.38/0.69 % (3762527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.69 % (3762527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.69 % (3762527)CaDiCaL version: 2.1.3
% 1.38/0.69 % (3762527)Termination reason: Instruction limit
% 1.38/0.69 % (3762527)Termination phase: Saturation
% 1.38/0.69 % (3762527)Time elapsed: 0.092 s
% 1.38/0.69 % (3762527)Peak memory usage: 12 MB
% 1.38/0.69 % (3762527)Instructions burned: 103 (million)
% 1.38/0.69 % (3762538)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3492122667:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.38/0.69 % (3762530)Instruction limit reached!
% 1.38/0.69 % (3762530)------------------------------
% 1.38/0.69 % (3762530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.69 % (3762530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.69 % (3762530)CaDiCaL version: 2.1.3
% 1.38/0.69 % (3762530)Termination reason: Instruction limit
% 1.38/0.69 % (3762530)Termination phase: Saturation
% 1.38/0.69 % (3762530)Time elapsed: 0.120 s
% 1.38/0.69 % (3762530)Peak memory usage: 13 MB
% 1.38/0.69 % (3762530)Instructions burned: 159 (million)
% 1.38/0.69 % TRYING [1]
% 1.38/0.69 % TRYING [2]
% 1.38/0.69 % TRYING [3]
% 1.38/0.69 % (3762529)Instruction limit reached!
% 1.38/0.69 % (3762529)------------------------------
% 1.38/0.69 % (3762529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.69 % (3762529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.69 % (3762529)CaDiCaL version: 2.1.3
% 1.38/0.69 % (3762529)Termination reason: Instruction limit
% 1.38/0.69 % (3762529)Termination phase: Saturation
% 1.38/0.69 % (3762529)Time elapsed: 0.133 s
% 1.38/0.69 % (3762529)Peak memory usage: 14 MB
% 1.38/0.69 % (3762529)Instructions burned: 132 (million)
% 1.38/0.69 % (3762541)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=4193352728:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.38/0.69 % TRYING [4]
% 1.38/0.69 % TRYING [5]
% 1.38/0.69 % (3762539)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1622057171:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.38/0.69 % (3762542)ott-21_1_sil=16000:fs=off:random_seed=286435626:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.38/0.69 % (3762526) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3762519-3762526"...
% 1.38/0.69 % (3762526)...printing done.
% 1.38/0.69 % (3762526)Refutation found. Thanks to Tanya!
% 1.38/0.69 % SZS status Unsatisfiable for theBenchmark
% 1.38/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 1.38/0.69 % (3762526)------------------------------
% 1.38/0.69 % (3762526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.69 % (3762526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.69 % (3762526)CaDiCaL version: 2.1.3
% 1.38/0.69 % (3762526)Termination reason: Refutation
% 1.38/0.69 % (3762526)Time elapsed: 0.202 s
% 1.38/0.69 % (3762526)Peak memory usage: 14 MB
% 1.38/0.69 % (3762526)Instructions burned: 225 (million)
% 1.38/0.69 % (3762519)Success in time 0.25 s
% 1.38/0.69 % Vampire exiting
%------------------------------------------------------------------------------