%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP603-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 10:18:12 AM UTC 2026
% Result : Unsatisfiable 1.45s 0.65s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 3
% Syntax : Number of formulae : 28 ( 28 unt; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 9 ( 3 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 : 71 ( 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(X1,double_divide(X0,X2))))),X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f4,plain,
inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3)),
inference(definition_unfolding,[],[f3,f2,f2,f2,f2]) ).
fof(f5,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X2,inverse(double_divide(X0,double_divide(X2,double_divide(X1,X3)))))) = inverse(double_divide(inverse(double_divide(X1,X0)),X3)),
inference(superposition,[],[f1,f1]) ).
fof(f7,plain,
! [X2,X0,X1] : inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,X1)),X2)),double_divide(X0,X2))) = X1,
inference(superposition,[],[f1,f5]) ).
fof(f9,plain,
! [X2,X3,X0,X1] : inverse(double_divide(inverse(double_divide(X0,X3)),double_divide(inverse(double_divide(X1,inverse(double_divide(X0,double_divide(X1,X2))))),X3))) = X2,
inference(superposition,[],[f7,f1]) ).
fof(f12,plain,
! [X2,X0,X1] : inverse(double_divide(X0,double_divide(inverse(double_divide(X1,X0)),double_divide(X1,X2)))) = X2,
inference(superposition,[],[f7,f7]) ).
fof(f16,plain,
! [X2,X3,X0,X1] : inverse(double_divide(double_divide(X1,X2),double_divide(X0,double_divide(inverse(double_divide(inverse(double_divide(X1,X0)),X2)),X3)))) = X3,
inference(superposition,[],[f12,f7]) ).
fof(f19,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X0,double_divide(X1,double_divide(inverse(double_divide(X3,inverse(double_divide(X1,X2)))),double_divide(X3,X0))))) = X2,
inference(superposition,[],[f7,f12]) ).
fof(f73,plain,
! [X2,X0,X1] : double_divide(inverse(double_divide(X0,X1)),double_divide(X0,inverse(double_divide(X1,X2)))) = X2,
inference(superposition,[],[f19,f16]) ).
fof(f89,plain,
! [X2,X3,X0,X1] : double_divide(X0,double_divide(X1,inverse(double_divide(double_divide(inverse(double_divide(X2,X1)),double_divide(X2,X0)),X3)))) = X3,
inference(superposition,[],[f73,f12]) ).
fof(f106,plain,
! [X2,X0,X1] : inverse(double_divide(inverse(X0),double_divide(X1,double_divide(X1,inverse(double_divide(X2,X0)))))) = X2,
inference(superposition,[],[f7,f73]) ).
fof(f222,plain,
! [X2,X0,X1] : double_divide(inverse(double_divide(X2,X1)),double_divide(X2,X1)) = inverse(double_divide(inverse(X0),X0)),
inference(superposition,[],[f106,f89]) ).
fof(f264,plain,
! [X3,X0] : double_divide(inverse(X0),X0) = inverse(double_divide(inverse(X3),X3)),
inference(superposition,[],[f222,f73]) ).
fof(f283,plain,
! [X0,X1] : inverse(double_divide(X1,inverse(double_divide(inverse(X0),X0)))) = X1,
inference(superposition,[],[f12,f222]) ).
fof(f411,plain,
! [X2,X3,X0,X1] : inverse(double_divide(inverse(double_divide(X2,inverse(double_divide(X1,double_divide(X2,X3))))),X3)) = inverse(double_divide(X1,double_divide(inverse(X0),X0))),
inference(superposition,[],[f5,f264]) ).
fof(f428,plain,
! [X0,X1] : inverse(double_divide(X1,double_divide(inverse(X0),X0))) = X1,
inference(forward_demodulation,[],[f411,f1]) ).
fof(f575,plain,
! [X0,X1] : inverse(double_divide(inverse(double_divide(inverse(X1),X0)),X1)) = X0,
inference(superposition,[],[f428,f7]) ).
fof(f692,plain,
! [X0,X1] : inverse(double_divide(X0,double_divide(inverse(X1),X0))) = X1,
inference(superposition,[],[f575,f575]) ).
fof(f765,plain,
! [X0,X1] : double_divide(X1,double_divide(X1,X0)) = X0,
inference(superposition,[],[f692,f12]) ).
fof(f872,plain,
! [X0,X1] : double_divide(inverse(X1),X0) = inverse(double_divide(inverse(X0),X1)),
inference(superposition,[],[f575,f765]) ).
fof(f2744,plain,
! [X2,X3,X0,X1] : inverse(double_divide(inverse(double_divide(X1,double_divide(X2,inverse(double_divide(X1,double_divide(X2,X3)))))),inverse(double_divide(inverse(X0),X0)))) = X3,
inference(superposition,[],[f9,f222]) ).
fof(f2829,plain,
! [X2,X3,X1] : inverse(double_divide(X1,double_divide(X2,inverse(double_divide(X1,double_divide(X2,X3)))))) = X3,
inference(forward_demodulation,[],[f2744,f283]) ).
fof(f7336,plain,
! [X2,X0,X1] : double_divide(X2,inverse(double_divide(X0,X1))) = inverse(double_divide(inverse(X1),double_divide(X2,X0))),
inference(superposition,[],[f2829,f106]) ).
fof(f7493,plain,
! [X2,X0,X1] : double_divide(inverse(double_divide(X2,X0)),X1) = double_divide(X2,inverse(double_divide(X0,X1))),
inference(forward_demodulation,[],[f7336,f872]) ).
fof(f8036,plain,
inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))),
inference(superposition,[],[f4,f7493]) ).
fof(f8140,plain,
$false,
inference(trivial_inequality_removal,[],[f8036]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP603-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/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 10:07:47 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.41 Running first-order model finding
% 0.15/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.45/0.65 % (3770762)Will run a generic schedule for satisfiability detection.
% 1.45/0.65 % (3770773)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=56215276:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.45/0.65 % (3770769)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3439774138:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.45/0.65 % (3770772)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1676747981:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.45/0.65 % (3770770)dis+10_1_sil=32000:sp=arity:random_seed=392478732:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.45/0.65 % (3770771)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3332617172:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.45/0.65 % (3770768)% WARNING: option uhcvi not known.
% 1.45/0.65 % (3770768)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4130315108:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.45/0.65 % (3770767)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2177435493_2999 on theBenchmark for (2999ds/0Mi)
% 1.45/0.65 % TRYING [1]
% 1.45/0.65 % TRYING [2]
% 1.45/0.65 % TRYING [3]
% 1.45/0.65 % TRYING [4]
% 1.45/0.65 % (3770773)Instruction limit reached!
% 1.45/0.65 % (3770773)------------------------------
% 1.45/0.65 % (3770773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.65 % (3770773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.65 % (3770773)CaDiCaL version: 2.1.3
% 1.45/0.65 % (3770773)Termination reason: Instruction limit
% 1.45/0.65 % (3770773)Termination phase: Saturation
% 1.45/0.65 % (3770773)Time elapsed: 0.058 s
% 1.45/0.65 % (3770773)Peak memory usage: 14 MB
% 1.45/0.65 % (3770773)Instructions burned: 160 (million)
% 1.45/0.65 % (3770770)Instruction limit reached!
% 1.45/0.65 % (3770770)------------------------------
% 1.45/0.65 % (3770770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.65 % (3770770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.65 % (3770770)CaDiCaL version: 2.1.3
% 1.45/0.65 % (3770770)Termination reason: Instruction limit
% 1.45/0.65 % (3770770)Termination phase: Saturation
% 1.45/0.65 % (3770770)Time elapsed: 0.057 s
% 1.45/0.65 % (3770770)Peak memory usage: 12 MB
% 1.45/0.65 % (3770770)Instructions burned: 103 (million)
% 1.45/0.65 % (3770781)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2357649797:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.45/0.65 % TRYING [1]
% 1.45/0.65 % TRYING [2]
% 1.45/0.65 % TRYING [3]
% 1.45/0.65 % (3770771)Instruction limit reached!
% 1.45/0.65 % (3770771)------------------------------
% 1.45/0.65 % (3770771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.65 % (3770771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.65 % (3770771)CaDiCaL version: 2.1.3
% 1.45/0.65 % (3770771)Termination reason: Instruction limit
% 1.45/0.65 % (3770771)Termination phase: Saturation
% 1.45/0.65 % (3770771)Time elapsed: 0.071 s
% 1.45/0.65 % (3770771)Peak memory usage: 13 MB
% 1.45/0.65 % (3770771)Instructions burned: 117 (million)
% 1.45/0.65 % TRYING [4]
% 1.45/0.65 % (3770782)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2162384557:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.45/0.65 % (3770772)Instruction limit reached!
% 1.45/0.65 % (3770772)------------------------------
% 1.45/0.65 % (3770772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.65 % (3770772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.65 % (3770772)CaDiCaL version: 2.1.3
% 1.45/0.65 % (3770772)Termination reason: Instruction limit
% 1.45/0.65 % (3770772)Termination phase: Saturation
% 1.45/0.65 % (3770772)Time elapsed: 0.079 s
% 1.45/0.65 % (3770772)Peak memory usage: 13 MB
% 1.45/0.65 % (3770772)Instructions burned: 132 (million)
% 1.45/0.65 % (3770784)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=487447777:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.45/0.65 % (3770786)ott-21_1_sil=16000:fs=off:random_seed=309254574:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.45/0.65 % (3770782)Instruction limit reached!
% 1.45/0.65 % (3770782)------------------------------
% 1.45/0.65 % (3770782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.65 % (3770782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.65 % (3770782)CaDiCaL version: 2.1.3
% 1.45/0.65 % (3770782)Termination reason: Instruction limit
% 1.45/0.65 % (3770782)Termination phase: Saturation
% 1.45/0.65 % (3770782)Time elapsed: 0.082 s
% 1.45/0.65 % (3770782)Peak memory usage: 13 MB
% 1.45/0.65 % (3770782)Instructions burned: 133 (million)
% 1.45/0.65 % (3770789)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1464184617:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.45/0.65 % (3770786)Instruction limit reached!
% 1.45/0.65 % (3770786)------------------------------
% 1.45/0.65 % (3770786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.65 % (3770786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.65 % (3770786)CaDiCaL version: 2.1.3
% 1.45/0.65 % (3770786)Termination reason: Instruction limit
% 1.45/0.65 % (3770786)Termination phase: Saturation
% 1.45/0.65 % (3770786)Time elapsed: 0.086 s
% 1.45/0.65 % (3770786)Peak memory usage: 11 MB
% 1.45/0.65 % (3770786)Instructions burned: 181 (million)
% 1.45/0.65 % (3770769) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3770762-3770769"...
% 1.45/0.65 % (3770769)...printing done.
% 1.45/0.65 % (3770769)Refutation found. Thanks to Tanya!
% 1.45/0.65 % SZS status Unsatisfiable for theBenchmark
% 1.45/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.65 % (3770769)------------------------------
% 1.45/0.65 % (3770769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.65 % (3770769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.65 % (3770769)CaDiCaL version: 2.1.3
% 1.45/0.65 % (3770769)Termination reason: Refutation
% 1.45/0.65 % (3770769)Time elapsed: 0.191 s
% 1.45/0.65 % (3770769)Peak memory usage: 15 MB
% 1.45/0.65 % (3770769)Instructions burned: 377 (million)
% 1.45/0.65 % (3770762)Success in time 0.231 s
% 1.45/0.65 % Vampire exiting
%------------------------------------------------------------------------------