%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP475-1 : 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 : n026.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 1.19s 0.62s
% Output : Refutation 1.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% 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 : 10 ( 5 avg)
% Maximal term depth : 13 ( 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 : 109 ( 109 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(divide(X0,X1),X2),divide(X3,X2))),divide(X1,X0)) = X3,
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(inverse(divide(divide(X0,X4),divide(X5,X4))),divide(divide(X2,X1),inverse(divide(divide(divide(X1,X2),X3),divide(X0,X3))))) = X5,
inference(superposition,[],[f1,f1]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(divide(divide(X4,X3),X5),divide(X0,X5))) = divide(inverse(divide(divide(divide(X1,X2),divide(X3,X4)),X0)),divide(X2,X1)),
inference(superposition,[],[f1,f1]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(divide(divide(divide(X1,X2),inverse(divide(divide(divide(X2,X1),X3),divide(X0,X3)))),X4),divide(X5,X4))),X0) = X5,
inference(superposition,[],[f1,f1]) ).
fof(f38,plain,
! [X2,X3,X0,X1] : inverse(divide(divide(divide(X1,X2),X3),divide(divide(X0,divide(X2,X1)),X3))) = X0,
inference(superposition,[],[f6,f1]) ).
fof(f41,plain,
! [X2,X3,X0,X1,X4] : divide(divide(inverse(divide(divide(divide(X0,X1),divide(X2,X3)),X4)),divide(X1,X0)),divide(X2,X3)) = X4,
inference(superposition,[],[f1,f6]) ).
fof(f64,plain,
! [X2,X0,X1,X6,X4,X5] : divide(X0,divide(X2,X1)) = divide(X0,divide(divide(X4,X5),inverse(divide(divide(divide(X5,X4),X6),divide(divide(X1,X2),X6))))),
inference(superposition,[],[f5,f38]) ).
fof(f114,plain,
! [X2,X0,X1,X6] : divide(divide(inverse(divide(divide(divide(X1,X2),X0),X6)),divide(X2,X1)),X0) = X6,
inference(superposition,[],[f41,f1]) ).
fof(f595,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : divide(divide(X6,X7),inverse(divide(divide(divide(X7,X6),X8),divide(divide(X5,X4),X8)))) = divide(divide(inverse(divide(divide(divide(X0,X1),divide(X2,X3)),divide(X4,X5))),divide(X1,X0)),divide(X2,X3)),
inference(superposition,[],[f41,f64]) ).
fof(f599,plain,
! [X8,X6,X7,X4,X5] : divide(X4,X5) = divide(divide(X6,X7),inverse(divide(divide(divide(X7,X6),X8),divide(divide(X5,X4),X8)))),
inference(forward_demodulation,[],[f595,f41]) ).
fof(f1199,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : divide(inverse(divide(divide(X0,X1),divide(X7,inverse(divide(divide(divide(inverse(divide(divide(divide(X3,X2),X4),divide(X5,X4))),divide(X2,X3)),X6),divide(divide(X1,X0),X6)))))),X5) = X7,
inference(superposition,[],[f7,f599]) ).
fof(f1289,plain,
! [X0,X1,X6,X7,X5] : divide(inverse(divide(divide(X0,X1),divide(X7,inverse(divide(divide(X5,X6),divide(divide(X1,X0),X6)))))),X5) = X7,
inference(forward_demodulation,[],[f1199,f1]) ).
fof(f1359,plain,
! [X2,X3,X0,X1] : divide(X2,X3) = divide(inverse(divide(divide(X0,X1),divide(X0,X1))),divide(X3,X2)),
inference(superposition,[],[f1289,f599]) ).
fof(f1450,plain,
! [X2,X0,X1] : divide(X1,X2) = divide(inverse(divide(X0,X0)),divide(X2,X1)),
inference(superposition,[],[f1359,f114]) ).
fof(f1676,plain,
! [X2,X3,X0,X1,X4] : divide(divide(X1,X0),inverse(divide(X2,X2))) = divide(inverse(divide(divide(X3,X4),divide(X3,X4))),divide(X0,X1)),
inference(superposition,[],[f1359,f1450]) ).
fof(f1677,plain,
! [X2,X0,X1] : divide(X1,X0) = divide(divide(X1,X0),inverse(divide(X2,X2))),
inference(forward_demodulation,[],[f1676,f1359]) ).
fof(f1771,plain,
! [X0,X4] : divide(X0,inverse(divide(X4,X4))) = X0,
inference(superposition,[],[f1677,f114]) ).
fof(f1817,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(divide(X0,X1),inverse(divide(X2,X2))),X3)),divide(X1,X0)) = X3,
inference(superposition,[],[f114,f1677]) ).
fof(f1944,plain,
! [X3,X0,X1] : divide(inverse(divide(divide(X0,X1),X3)),divide(X1,X0)) = X3,
inference(forward_demodulation,[],[f1817,f1677]) ).
fof(f1958,plain,
! [X0,X1] : divide(X1,inverse(inverse(divide(X0,X0)))) = X1,
inference(superposition,[],[f1771,f1771]) ).
fof(f2119,plain,
! [X0,X1] : divide(X1,inverse(inverse(inverse(divide(X0,X0))))) = X1,
inference(superposition,[],[f1958,f1771]) ).
fof(f2337,plain,
! [X0,X1] : divide(X1,inverse(inverse(inverse(inverse(inverse(divide(X0,X0))))))) = X1,
inference(superposition,[],[f2119,f1958]) ).
fof(f3733,plain,
! [X2,X3,X0,X1] : divide(divide(inverse(divide(divide(X0,X1),X2)),divide(X1,X0)),X2) = inverse(inverse(inverse(inverse(inverse(divide(X3,X3)))))),
inference(superposition,[],[f114,f2337]) ).
fof(f3748,plain,
! [X2,X3] : divide(X2,X2) = inverse(inverse(inverse(inverse(inverse(divide(X3,X3)))))),
inference(forward_demodulation,[],[f3733,f1944]) ).
fof(f3821,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(superposition,[],[f3748,f3748]) ).
fof(f4217,plain,
! [X0] : divide(inverse(a1),inverse(a1)) != divide(X0,X0),
inference(superposition,[],[f4,f3821]) ).
fof(f4388,plain,
$false,
inference(forward_subsumption_resolution,[],[f4217,f3821]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP475-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 10:08:27 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 Running first-order model finding
% 0.13/0.40 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
% 1.19/0.62 % (2597316)Will run a generic schedule for satisfiability detection.
% 1.19/0.62 % (2597326)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3957744661:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 1.19/0.62 % (2597322)% WARNING: option uhcvi not known.
% 1.19/0.62 % (2597321)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=460327320_3000 on theBenchmark for (3000ds/0Mi)
% 1.19/0.62 % (2597324)dis+10_1_sil=32000:sp=arity:random_seed=305442000:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 1.19/0.62 % (2597322)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4033638378:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 1.19/0.62 % (2597323)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2021159293:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 1.19/0.62 % (2597325)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=498405701:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 1.19/0.62 % TRYING [1]
% 1.19/0.62 % TRYING [2]
% 1.19/0.62 % (2597327)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=21831230:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 1.19/0.62 % TRYING [3]
% 1.19/0.62 % TRYING [4]
% 1.19/0.62 % (2597326)Instruction limit reached!
% 1.19/0.62 % (2597326)------------------------------
% 1.19/0.62 % (2597326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.62 % (2597326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.62 % (2597326)CaDiCaL version: 2.1.3
% 1.19/0.62 % (2597326)Termination reason: Instruction limit
% 1.19/0.62 % (2597326)Termination phase: Saturation
% 1.19/0.62 % (2597326)Time elapsed: 0.040 s
% 1.19/0.62 % (2597326)Peak memory usage: 13 MB
% 1.19/0.62 % (2597326)Instructions burned: 132 (million)
% 1.19/0.62 % (2597353)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1117898715:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.19/0.62 % TRYING [1]
% 1.19/0.62 % TRYING [2]
% 1.19/0.62 % TRYING [3]
% 1.19/0.62 % TRYING [4]
% 1.19/0.62 % (2597324)Instruction limit reached!
% 1.19/0.62 % (2597324)------------------------------
% 1.19/0.62 % (2597324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.62 % (2597324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.62 % (2597324)CaDiCaL version: 2.1.3
% 1.19/0.62 % (2597324)Termination reason: Instruction limit
% 1.19/0.62 % (2597324)Termination phase: Saturation
% 1.19/0.62 % (2597324)Time elapsed: 0.055 s
% 1.19/0.62 % (2597324)Peak memory usage: 12 MB
% 1.19/0.62 % (2597324)Instructions burned: 104 (million)
% 1.19/0.62 % (2597325)Instruction limit reached!
% 1.19/0.62 % (2597325)------------------------------
% 1.19/0.62 % (2597325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.62 % (2597325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.62 % (2597325)CaDiCaL version: 2.1.3
% 1.19/0.62 % (2597325)Termination reason: Instruction limit
% 1.19/0.62 % (2597325)Termination phase: Saturation
% 1.19/0.62 % (2597325)Time elapsed: 0.067 s
% 1.19/0.62 % (2597325)Peak memory usage: 12 MB
% 1.19/0.62 % (2597325)Instructions burned: 116 (million)
% 1.19/0.62 % (2597363)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1513926665:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.19/0.62 % (2597371)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=705843330:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.19/0.62 % (2597327)Instruction limit reached!
% 1.19/0.62 % (2597327)------------------------------
% 1.19/0.62 % (2597327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.62 % (2597327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.62 % (2597327)CaDiCaL version: 2.1.3
% 1.19/0.62 % (2597327)Termination reason: Instruction limit
% 1.19/0.62 % (2597327)Termination phase: Saturation
% 1.19/0.62 % (2597327)Time elapsed: 0.097 s
% 1.19/0.62 % (2597327)Peak memory usage: 13 MB
% 1.19/0.62 % (2597327)Instructions burned: 159 (million)
% 1.19/0.62 % TRYING [5]
% 1.19/0.62 % TRYING [5]
% 1.19/0.62 % (2597386)ott-21_1_sil=16000:fs=off:random_seed=1513105995:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.19/0.62 % (2597363)Instruction limit reached!
% 1.19/0.62 % (2597363)------------------------------
% 1.19/0.62 % (2597363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.62 % (2597363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.62 % (2597363)CaDiCaL version: 2.1.3
% 1.19/0.62 % (2597363)Termination reason: Instruction limit
% 1.19/0.62 % (2597363)Termination phase: Saturation
% 1.19/0.62 % (2597363)Time elapsed: 0.078 s
% 1.19/0.62 % (2597363)Peak memory usage: 13 MB
% 1.19/0.62 % (2597363)Instructions burned: 133 (million)
% 1.19/0.62 % (2597410)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=802996285:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.19/0.62 % (2597323) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2597316-2597323"...
% 1.19/0.62 % (2597323)...printing done.
% 1.19/0.62 % (2597323)Refutation found. Thanks to Tanya!
% 1.19/0.62 % SZS status Unsatisfiable for theBenchmark
% 1.19/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.19/0.62 % (2597323)------------------------------
% 1.19/0.62 % (2597323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.62 % (2597323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.62 % (2597323)CaDiCaL version: 2.1.3
% 1.19/0.62 % (2597323)Termination reason: Refutation
% 1.19/0.62 % (2597323)Time elapsed: 0.187 s
% 1.19/0.62 % (2597323)Peak memory usage: 16 MB
% 1.19/0.62 % (2597323)Instructions burned: 367 (million)
% 1.19/0.62 % (2597316)Success in time 0.212 s
% 1.19/0.62 % Vampire exiting
%------------------------------------------------------------------------------