%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP523-1 : 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 10:18:01 AM UTC 2026
% Result : Unsatisfiable 1.00s 0.59s
% Output : Refutation 1.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 4
% Syntax : Number of formulae : 32 ( 32 unt; 0 def)
% Number of atoms : 32 ( 31 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 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 : 66 ( 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(X1,divide(X2,divide(X0,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,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f28,plain,
! [X2,X0,X1] : inverse(divide(X1,divide(X0,divide(divide(X2,X2),X1)))) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f33,plain,
! [X0,X1] : inverse(divide(X1,divide(X0,inverse(X1)))) = X0,
inference(forward_demodulation,[],[f28,f3]) ).
fof(f41,plain,
! [X0,X1] : divide(X1,X1) = inverse(divide(X0,inverse(inverse(X0)))),
inference(superposition,[],[f33,f3]) ).
fof(f56,plain,
! [X0,X1] : divide(X1,X1) = divide(X0,X0),
inference(superposition,[],[f41,f41]) ).
fof(f67,plain,
! [X0,X1] : divide(X1,X1) = inverse(divide(X0,X0)),
inference(superposition,[],[f56,f3]) ).
fof(f85,plain,
! [X0,X1] : inverse(X1) = inverse(divide(X1,divide(X0,X0))),
inference(superposition,[],[f33,f56]) ).
fof(f129,plain,
! [X2,X0,X1] : inverse(divide(divide(X1,X1),divide(X2,divide(X0,X0)))) = X2,
inference(superposition,[],[f33,f67]) ).
fof(f130,plain,
! [X2,X0] : inverse(inverse(divide(X2,divide(X0,X0)))) = X2,
inference(forward_demodulation,[],[f129,f3]) ).
fof(f236,plain,
! [X2] : inverse(inverse(X2)) = X2,
inference(forward_demodulation,[],[f130,f85]) ).
fof(f238,plain,
! [X0,X1] : inverse(inverse(X0)) = divide(X0,divide(X1,X1)),
inference(superposition,[],[f236,f85]) ).
fof(f251,plain,
! [X0,X1] : divide(X0,divide(X1,X1)) = X0,
inference(forward_demodulation,[],[f238,f236]) ).
fof(f269,plain,
! [X0,X1] : divide(X1,divide(X1,X0)) = X0,
inference(superposition,[],[f1,f251]) ).
fof(f283,plain,
! [X2,X0,X1] : divide(X0,divide(divide(X1,X1),divide(X2,X0))) = X2,
inference(superposition,[],[f1,f251]) ).
fof(f288,plain,
! [X2,X0] : divide(X0,inverse(divide(X2,X0))) = X2,
inference(forward_demodulation,[],[f283,f3]) ).
fof(f415,plain,
! [X0,X1] : inverse(divide(X0,X1)) = divide(X1,X0),
inference(superposition,[],[f269,f288]) ).
fof(f1433,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f1445,plain,
! [X0,X1] : multiply(X1,divide(X0,X1)) = X0,
inference(superposition,[],[f1433,f288]) ).
fof(f1463,plain,
! [X0,X1] : inverse(divide(X1,multiply(X0,X1))) = X0,
inference(superposition,[],[f33,f1433]) ).
fof(f1527,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(forward_demodulation,[],[f1463,f415]) ).
fof(f1588,plain,
! [X2,X0,X1] : divide(multiply(X0,X1),divide(X1,divide(X2,X0))) = X2,
inference(superposition,[],[f1,f1527]) ).
fof(f1656,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f1445,f1527]) ).
fof(f1916,plain,
multiply(a3,multiply(b3,c3)) != multiply(c3,multiply(a3,b3)),
inference(superposition,[],[f4,f1656]) ).
fof(f2691,plain,
! [X2,X0,X1] : multiply(X0,X1) = divide(multiply(X1,X2),divide(X2,X0)),
inference(superposition,[],[f1588,f1527]) ).
fof(f2988,plain,
! [X2,X0,X1] : divide(multiply(X0,multiply(X1,X2)),multiply(X0,X1)) = X2,
inference(superposition,[],[f1588,f2691]) ).
fof(f4181,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(X2,X0)) = divide(multiply(multiply(X1,X2),X3),divide(X3,X0)),
inference(superposition,[],[f1588,f2988]) ).
fof(f4188,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X2,X0)),
inference(forward_demodulation,[],[f4181,f2691]) ).
fof(f7154,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f1916,f4188]) ).
fof(f7208,plain,
$false,
inference(trivial_inequality_removal,[],[f7154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP523-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 10:06:32 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 1.00/0.59 % (3766570)Will run a generic schedule for satisfiability detection.
% 1.00/0.59 % (3766588)% WARNING: option uhcvi not known.
% 1.00/0.59 % (3766588)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1611744226:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.00/0.59 % (3766587)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3381960713_2999 on theBenchmark for (2999ds/0Mi)
% 1.00/0.59 % (3766590)dis+10_1_sil=32000:sp=arity:random_seed=3370634525:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.00/0.59 % (3766591)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1434420859:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.00/0.59 % (3766589)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2705244131:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.00/0.59 % (3766593)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2154793312:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.00/0.59 % (3766592)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1863255228:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.00/0.59 % TRYING [1]
% 1.00/0.59 % TRYING [2]
% 1.00/0.59 % TRYING [3]
% 1.00/0.59 % TRYING [4]
% 1.00/0.59 % TRYING [5]
% 1.00/0.59 % (3766590)Instruction limit reached!
% 1.00/0.59 % (3766590)------------------------------
% 1.00/0.59 % (3766590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.59 % (3766590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.59 % (3766590)CaDiCaL version: 2.1.3
% 1.00/0.59 % (3766590)Termination reason: Instruction limit
% 1.00/0.59 % (3766590)Termination phase: Saturation
% 1.00/0.59 % (3766590)Time elapsed: 0.059 s
% 1.00/0.59 % (3766590)Peak memory usage: 12 MB
% 1.00/0.59 % (3766590)Instructions burned: 104 (million)
% 1.00/0.59 % (3766591)Instruction limit reached!
% 1.00/0.59 % (3766591)------------------------------
% 1.00/0.59 % (3766591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.59 % (3766591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.59 % (3766591)CaDiCaL version: 2.1.3
% 1.00/0.59 % (3766591)Termination reason: Instruction limit
% 1.00/0.59 % (3766591)Termination phase: Saturation
% 1.00/0.59 % (3766591)Time elapsed: 0.064 s
% 1.00/0.59 % (3766591)Peak memory usage: 12 MB
% 1.00/0.59 % (3766591)Instructions burned: 117 (million)
% 1.00/0.59 % (3766639)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2729946108:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.00/0.59 % (3766592)Instruction limit reached!
% 1.00/0.59 % (3766592)------------------------------
% 1.00/0.59 % (3766592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.59 % (3766592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.59 % (3766592)CaDiCaL version: 2.1.3
% 1.00/0.59 % (3766592)Termination reason: Instruction limit
% 1.00/0.59 % (3766592)Termination phase: Saturation
% 1.00/0.59 % (3766592)Time elapsed: 0.087 s
% 1.00/0.59 % (3766592)Peak memory usage: 12 MB
% 1.00/0.59 % (3766592)Instructions burned: 131 (million)
% 1.00/0.59 % (3766593)Instruction limit reached!
% 1.00/0.59 % (3766593)------------------------------
% 1.00/0.59 % (3766593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.59 % (3766593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.59 % (3766593)CaDiCaL version: 2.1.3
% 1.00/0.59 % (3766593)Termination reason: Instruction limit
% 1.00/0.59 % (3766593)Termination phase: Saturation
% 1.00/0.59 % (3766593)Time elapsed: 0.092 s
% 1.00/0.59 % (3766593)Peak memory usage: 13 MB
% 1.00/0.59 % (3766593)Instructions burned: 159 (million)
% 1.00/0.59 % TRYING [6]
% 1.00/0.59 % (3766638)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=717389375:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.00/0.59 % TRYING [1]
% 1.00/0.59 % TRYING [2]
% 1.00/0.59 % TRYING [3]
% 1.00/0.59 % TRYING [4]
% 1.00/0.59 % (3766643)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=2706036148:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.00/0.59 % (3766645)ott-21_1_sil=16000:fs=off:random_seed=1318920468:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.00/0.59 % (3766589) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3766570-3766589"...
% 1.00/0.59 % (3766589)...printing done.
% 1.00/0.59 % (3766589)Refutation found. Thanks to Tanya!
% 1.00/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.00/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.00/0.59 % (3766589)------------------------------
% 1.00/0.59 % (3766589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.59 % (3766589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.59 % (3766589)CaDiCaL version: 2.1.3
% 1.00/0.59 % (3766589)Termination reason: Refutation
% 1.00/0.59 % (3766589)Time elapsed: 0.120 s
% 1.00/0.59 % (3766589)Peak memory usage: 13 MB
% 1.00/0.59 % (3766589)Instructions burned: 224 (million)
% 1.00/0.59 % (3766570)Success in time 0.167 s
% 1.00/0.59 % Vampire exiting
%------------------------------------------------------------------------------