%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP535-1 : 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 : n019.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 10:18:03 AM UTC 2026
% Result : Unsatisfiable 0.45s 0.55s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 36 ( 36 unt; 0 def)
% Number of atoms : 36 ( 35 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 68 ( 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(X0,divide(divide(X0,X1),X2)),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f6,plain,
! [X0] : inverse(X0) = divide(identity,X0),
inference(forward_demodulation,[],[f3,f4]) ).
fof(f7,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
inference(forward_demodulation,[],[f2,f4]) ).
fof(f8,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f7,f6]) ).
fof(f13,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(superposition,[],[f4,f8]) ).
fof(f14,plain,
! [X0] : inverse(inverse(X0)) = multiply(identity,X0),
inference(superposition,[],[f6,f8]) ).
fof(f16,plain,
! [X0,X1] : divide(divide(X0,divide(identity,X1)),X0) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f21,plain,
! [X2,X0,X1] : inverse(X2) = divide(divide(X0,multiply(divide(X0,X1),X2)),X1),
inference(superposition,[],[f1,f8]) ).
fof(f22,plain,
! [X2,X0,X1] : divide(divide(X1,X0),divide(divide(X1,X2),X0)) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f31,plain,
! [X0,X1] : divide(divide(X0,inverse(X1)),X0) = X1,
inference(forward_demodulation,[],[f16,f6]) ).
fof(f32,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
inference(forward_demodulation,[],[f31,f8]) ).
fof(f36,plain,
! [X0] : divide(identity,inverse(X0)) = X0,
inference(superposition,[],[f32,f13]) ).
fof(f37,plain,
! [X0] : divide(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f32,f14]) ).
fof(f41,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[],[f36,f8]) ).
fof(f42,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[],[f14,f41]) ).
fof(f43,plain,
! [X0] : divide(X0,identity) = X0,
inference(backward_demodulation,[],[f37,f42]) ).
fof(f88,plain,
! [X2,X3,X0,X1] : divide(X0,divide(divide(divide(X1,divide(divide(X1,X2),X0)),X3),X2)) = X3,
inference(superposition,[],[f22,f1]) ).
fof(f92,plain,
! [X0,X1] : divide(divide(X0,X1),divide(identity,X1)) = X0,
inference(superposition,[],[f22,f4]) ).
fof(f110,plain,
! [X0,X1] : divide(divide(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[],[f92,f6]) ).
fof(f115,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(forward_demodulation,[],[f110,f8]) ).
fof(f142,plain,
! [X2,X0,X1] : divide(X1,divide(divide(X1,X2),X0)) = multiply(X0,X2),
inference(superposition,[],[f115,f1]) ).
fof(f151,plain,
! [X2,X3,X0] : divide(X0,divide(divide(multiply(X0,X2),X3),X2)) = X3,
inference(backward_demodulation,[],[f88,f142]) ).
fof(f211,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,multiply(identity,X0)),X1),
inference(superposition,[],[f21,f4]) ).
fof(f231,plain,
! [X0,X1] : inverse(X0) = divide(X1,multiply(divide(X1,identity),X0)),
inference(superposition,[],[f43,f21]) ).
fof(f232,plain,
! [X0,X1] : inverse(X0) = divide(X1,multiply(X1,X0)),
inference(forward_demodulation,[],[f231,f43]) ).
fof(f247,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X0),X1),
inference(forward_demodulation,[],[f211,f41]) ).
fof(f453,plain,
! [X0,X1] : divide(inverse(X0),X1) = inverse(multiply(X1,X0)),
inference(superposition,[],[f247,f232]) ).
fof(f491,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),X0) = divide(X1,divide(inverse(X0),X2)),
inference(superposition,[],[f151,f232]) ).
fof(f511,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),X0) = divide(X1,inverse(multiply(X2,X0))),
inference(forward_demodulation,[],[f491,f453]) ).
fof(f538,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),X0) = multiply(X1,multiply(X2,X0)),
inference(forward_demodulation,[],[f511,f8]) ).
fof(f556,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[],[f5,f538]) ).
fof(f557,plain,
$false,
inference(trivial_inequality_removal,[],[f556]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP535-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n019.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 10:06:34 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 0.45/0.55 % (2859887)Will run a generic schedule for satisfiability detection.
% 0.45/0.55 % (2859897)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3812189010:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.45/0.55 % (2859893)% WARNING: option uhcvi not known.
% 0.45/0.55 % (2859893)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2642460841:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.45/0.55 % (2859894)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=853448233:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.45/0.55 % (2859895)dis+10_1_sil=32000:sp=arity:random_seed=1128922407:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.45/0.55 % (2859896)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2407245758:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.45/0.55 % (2859898)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=597713276:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.45/0.55 % (2859892)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1910815731_2999 on theBenchmark for (2999ds/0Mi)
% 0.45/0.55 % TRYING [1]
% 0.45/0.55 % TRYING [2]
% 0.45/0.55 % TRYING [3]
% 0.45/0.55 % TRYING [4]
% 0.45/0.55 % TRYING [5]
% 0.45/0.55 % (2859897)Instruction limit reached!
% 0.45/0.55 % (2859897)------------------------------
% 0.45/0.55 % (2859897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.55 % (2859897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.55 % (2859897)CaDiCaL version: 2.1.3
% 0.45/0.55 % (2859897)Termination reason: Instruction limit
% 0.45/0.55 % (2859897)Termination phase: Saturation
% 0.45/0.55 % (2859897)Time elapsed: 0.043 s
% 0.45/0.55 % (2859897)Peak memory usage: 12 MB
% 0.45/0.55 % (2859897)Instructions burned: 132 (million)
% 0.45/0.55 % (2859906)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3970657290:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.45/0.55 % TRYING [1]
% 0.45/0.55 % TRYING [2]
% 0.45/0.55 % TRYING [3]
% 0.45/0.55 % TRYING [4]
% 0.45/0.55 % TRYING [5]
% 0.45/0.55 % (2859895)Instruction limit reached!
% 0.45/0.55 % (2859895)------------------------------
% 0.45/0.55 % (2859895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.55 % (2859895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.55 % (2859895)CaDiCaL version: 2.1.3
% 0.45/0.55 % (2859895)Termination reason: Instruction limit
% 0.45/0.55 % (2859895)Termination phase: Saturation
% 0.45/0.55 % (2859895)Time elapsed: 0.059 s
% 0.45/0.55 % (2859895)Peak memory usage: 12 MB
% 0.45/0.55 % (2859895)Instructions burned: 104 (million)
% 0.45/0.55 % (2859896)Instruction limit reached!
% 0.45/0.55 % (2859896)------------------------------
% 0.45/0.55 % (2859896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.55 % (2859896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.55 % (2859896)CaDiCaL version: 2.1.3
% 0.45/0.55 % (2859896)Termination reason: Instruction limit
% 0.45/0.55 % (2859896)Termination phase: Saturation
% 0.45/0.55 % (2859896)Time elapsed: 0.066 s
% 0.45/0.55 % (2859896)Peak memory usage: 12 MB
% 0.45/0.55 % (2859896)Instructions burned: 116 (million)
% 0.45/0.55 % TRYING [6]
% 0.45/0.55 % TRYING [6]
% 0.45/0.55 % (2859908)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1552001997:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.45/0.55 % (2859909)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=3002483548:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.45/0.55 % (2859898)Instruction limit reached!
% 0.45/0.55 % (2859898)------------------------------
% 0.45/0.55 % (2859898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.55 % (2859898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.55 % (2859898)CaDiCaL version: 2.1.3
% 0.45/0.55 % (2859898)Termination reason: Instruction limit
% 0.45/0.55 % (2859898)Termination phase: Saturation
% 0.45/0.55 % (2859898)Time elapsed: 0.093 s
% 0.45/0.55 % (2859898)Peak memory usage: 12 MB
% 0.45/0.55 % (2859898)Instructions burned: 159 (million)
% 0.45/0.55 % (2859908) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2859887-2859908"...
% 0.45/0.55 % (2859908)...printing done.
% 0.45/0.55 % (2859908)Refutation found. Thanks to Tanya!
% 0.45/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.45/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.45/0.56 % (2859908)------------------------------
% 0.45/0.56 % (2859908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.56 % (2859908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.56 % (2859908)CaDiCaL version: 2.1.3
% 0.45/0.56 % (2859908)Termination reason: Refutation
% 0.45/0.56 % (2859908)Time elapsed: 0.018 s
% 0.45/0.56 % (2859908)Peak memory usage: 11 MB
% 0.45/0.56 % (2859908)Instructions burned: 25 (million)
% 0.45/0.56 % (2859887)Success in time 0.146 s
% 0.45/0.56 % Vampire exiting
%------------------------------------------------------------------------------