%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP499-1 : 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 : n007.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 10:17:58 AM UTC 2026
% Result : Unsatisfiable 1.57s 0.71s
% Output : Refutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 3
% Syntax : Number of formulae : 37 ( 37 unt; 0 def)
% Number of atoms : 37 ( 36 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 11 ( 3 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 : 119 ( 119 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X2))),double_divide(X3,double_divide(X1,X3))))) = X2,
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(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
fof(f4,plain,
inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))),
inference(definition_unfolding,[],[f3,f2,f2]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(double_divide(inverse(double_divide(X2,double_divide(X3,X0))),double_divide(X4,double_divide(X3,X4)))) = double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,X0)),double_divide(X5,double_divide(inverse(X2),X5))))),
inference(superposition,[],[f1,f1]) ).
fof(f21,plain,
! [X2,X3,X0,X1] : inverse(double_divide(inverse(double_divide(X1,double_divide(X2,double_divide(inverse(X1),X0)))),double_divide(X3,double_divide(X2,X3)))) = X0,
inference(superposition,[],[f5,f1]) ).
fof(f23,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X3),double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,X1)),double_divide(X2,double_divide(inverse(X3),X2)))))) = X1,
inference(superposition,[],[f1,f5]) ).
fof(f39,plain,
! [X2,X3,X0,X1,X4] : double_divide(X2,X3) = double_divide(inverse(inverse(double_divide(X1,double_divide(X2,double_divide(inverse(X1),X0))))),inverse(double_divide(X0,double_divide(X4,double_divide(X3,X4))))),
inference(superposition,[],[f1,f21]) ).
fof(f52,plain,
! [X0,X6,X4,X5] : double_divide(X0,double_divide(inverse(X4),inverse(double_divide(inverse(double_divide(X4,X5)),double_divide(X6,double_divide(X0,X6)))))) = X5,
inference(superposition,[],[f23,f21]) ).
fof(f83,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(inverse(double_divide(X1,X0)),double_divide(X3,double_divide(X2,X3)))) = inverse(double_divide(inverse(double_divide(X1,X0)),double_divide(X4,double_divide(X2,X4)))),
inference(superposition,[],[f21,f52]) ).
fof(f185,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(X5,double_divide(X3,X5)) = double_divide(inverse(X4),double_divide(inverse(inverse(double_divide(X0,X1))),inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,X1)),double_divide(X2,double_divide(X3,X2)))),double_divide(X6,double_divide(inverse(X4),X6)))))),
inference(superposition,[],[f23,f83]) ).
fof(f195,plain,
! [X2,X3,X5] : double_divide(X5,double_divide(X3,X5)) = double_divide(X2,double_divide(X3,X2)),
inference(forward_demodulation,[],[f185,f23]) ).
fof(f218,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X2),inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X0))),double_divide(X3,double_divide(X1,X3))))) = X2,
inference(superposition,[],[f1,f195]) ).
fof(f230,plain,
! [X2,X3,X0,X1] : inverse(double_divide(inverse(double_divide(X1,double_divide(X0,double_divide(inverse(X1),X0)))),double_divide(X3,double_divide(X2,X3)))) = X2,
inference(superposition,[],[f21,f195]) ).
fof(f691,plain,
! [X2,X3,X0,X1] : double_divide(X0,X1) = inverse(double_divide(X2,double_divide(X0,double_divide(inverse(X2),inverse(double_divide(X3,double_divide(X1,X3))))))),
inference(superposition,[],[f218,f39]) ).
fof(f1066,plain,
! [X3,X0,X1,X4] : inverse(double_divide(double_divide(inverse(double_divide(X0,double_divide(X1,X0))),X1),double_divide(X3,double_divide(X4,X3)))) = X4,
inference(superposition,[],[f230,f691]) ).
fof(f1148,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(X0,double_divide(X1,X0))),X1) = inverse(double_divide(inverse(double_divide(X2,double_divide(X3,X2))),X3)),
inference(superposition,[],[f1066,f691]) ).
fof(f1683,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(inverse(double_divide(X2,double_divide(double_divide(X3,X4),X2)))),inverse(double_divide(double_divide(inverse(double_divide(X0,double_divide(X1,X0))),X1),double_divide(X5,double_divide(X3,X5))))) = X4,
inference(superposition,[],[f1,f1148]) ).
fof(f1688,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(X2,double_divide(inverse(inverse(double_divide(X3,double_divide(X4,X3)))),inverse(double_divide(double_divide(inverse(double_divide(X0,double_divide(X1,X0))),X1),double_divide(X5,double_divide(X2,X5)))))) = X4,
inference(superposition,[],[f52,f1148]) ).
fof(f1707,plain,
! [X2,X3,X4] : double_divide(X2,double_divide(inverse(inverse(double_divide(X3,double_divide(X4,X3)))),X2)) = X4,
inference(forward_demodulation,[],[f1688,f1066]) ).
fof(f1709,plain,
! [X2,X3,X4] : double_divide(inverse(inverse(double_divide(X2,double_divide(double_divide(X3,X4),X2)))),X3) = X4,
inference(forward_demodulation,[],[f1683,f1066]) ).
fof(f1747,plain,
! [X2,X3,X0,X1,X4] : double_divide(double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,X0)),double_divide(X2,double_divide(inverse(inverse(double_divide(X3,double_divide(X4,X3)))),X2))))),X0) = X4,
inference(superposition,[],[f1707,f52]) ).
fof(f1783,plain,
! [X3,X0,X1,X4] : double_divide(inverse(X1),inverse(double_divide(inverse(X0),double_divide(X4,double_divide(inverse(inverse(double_divide(X3,double_divide(X0,X3)))),X4))))) = X1,
inference(superposition,[],[f218,f1707]) ).
fof(f1851,plain,
! [X0,X1] : double_divide(inverse(X1),inverse(double_divide(inverse(X0),X0))) = X1,
inference(forward_demodulation,[],[f1783,f1707]) ).
fof(f1855,plain,
! [X0,X1,X4] : double_divide(double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,X0)),X4))),X0) = X4,
inference(forward_demodulation,[],[f1747,f1707]) ).
fof(f1888,plain,
! [X0,X1] : double_divide(inverse(X1),inverse(inverse(double_divide(inverse(X0),X0)))) = X1,
inference(superposition,[],[f1851,f1851]) ).
fof(f1889,plain,
! [X0,X1] : double_divide(inverse(X1),inverse(double_divide(X0,inverse(X0)))) = X1,
inference(superposition,[],[f1851,f39]) ).
fof(f1999,plain,
! [X0,X1] : double_divide(inverse(X1),inverse(inverse(double_divide(X0,inverse(X0))))) = X1,
inference(superposition,[],[f1851,f1889]) ).
fof(f3203,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(inverse(double_divide(X0,X1))),
inference(superposition,[],[f1855,f1889]) ).
fof(f3316,plain,
! [X0,X1] : double_divide(inverse(X1),double_divide(inverse(X0),X0)) = X1,
inference(superposition,[],[f1888,f3203]) ).
fof(f3319,plain,
! [X0,X1] : double_divide(inverse(X1),double_divide(X0,inverse(X0))) = X1,
inference(superposition,[],[f1999,f3203]) ).
fof(f3501,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,X1)) = X0,
inference(superposition,[],[f3316,f1707]) ).
fof(f4288,plain,
! [X2,X0,X1] : double_divide(X2,inverse(X2)) = double_divide(inverse(inverse(double_divide(X1,double_divide(X0,X1)))),inverse(X0)),
inference(superposition,[],[f1709,f3319]) ).
fof(f4294,plain,
! [X2,X0,X1] : double_divide(X2,inverse(X2)) = double_divide(double_divide(X1,double_divide(X0,X1)),inverse(X0)),
inference(forward_demodulation,[],[f4288,f3203]) ).
fof(f4410,plain,
! [X2,X0] : double_divide(X0,inverse(X0)) = double_divide(X2,inverse(X2)),
inference(forward_demodulation,[],[f4294,f3501]) ).
fof(f6774,plain,
! [X0] : inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(X0,inverse(X0))),
inference(superposition,[],[f4,f4410]) ).
fof(f7143,plain,
$false,
inference(equality_resolution,[],[f6774]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP499-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n007.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 10:04:10 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.44 Running first-order model finding
% 0.13/0.44 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
% 1.57/0.71 % (1176529)Will run a generic schedule for satisfiability detection.
% 1.57/0.71 % (1176545)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2591435023:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.57/0.71 % (1176540)% WARNING: option uhcvi not known.
% 1.57/0.71 % (1176538)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4255075460_2999 on theBenchmark for (2999ds/0Mi)
% 1.57/0.71 % (1176541)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1683331191:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.57/0.71 % (1176543)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2415508184:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.57/0.71 % (1176542)dis+10_1_sil=32000:sp=arity:random_seed=3652597156:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.57/0.71 % (1176540)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2766618402:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.57/0.71 % (1176544)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3752317096:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.57/0.71 % TRYING [1]
% 1.57/0.71 % TRYING [2]
% 1.57/0.71 % TRYING [3]
% 1.57/0.71 % TRYING [4]
% 1.57/0.71 % (1176545)Instruction limit reached!
% 1.57/0.71 % (1176545)------------------------------
% 1.57/0.71 % (1176545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.71 % (1176545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.71 % (1176545)CaDiCaL version: 2.1.3
% 1.57/0.71 % (1176545)Termination reason: Instruction limit
% 1.57/0.71 % (1176545)Termination phase: Saturation
% 1.57/0.71 % (1176545)Time elapsed: 0.053 s
% 1.57/0.71 % (1176545)Peak memory usage: 13 MB
% 1.57/0.71 % (1176545)Instructions burned: 161 (million)
% 1.57/0.71 % (1176542)Instruction limit reached!
% 1.57/0.71 % (1176542)------------------------------
% 1.57/0.71 % (1176542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.71 % (1176542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.71 % (1176542)CaDiCaL version: 2.1.3
% 1.57/0.71 % (1176542)Termination reason: Instruction limit
% 1.57/0.71 % (1176542)Termination phase: Saturation
% 1.57/0.71 % (1176542)Time elapsed: 0.056 s
% 1.57/0.71 % (1176542)Peak memory usage: 12 MB
% 1.57/0.71 % (1176542)Instructions burned: 107 (million)
% 1.57/0.71 % (1176570)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1498773541:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.57/0.71 % TRYING [1]
% 1.57/0.71 % TRYING [2]
% 1.57/0.71 % TRYING [3]
% 1.57/0.71 % (1176543)Instruction limit reached!
% 1.57/0.71 % (1176543)------------------------------
% 1.57/0.71 % (1176543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.71 % (1176543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.71 % (1176543)CaDiCaL version: 2.1.3
% 1.57/0.71 % (1176543)Termination reason: Instruction limit
% 1.57/0.71 % (1176543)Termination phase: Saturation
% 1.57/0.71 % (1176543)Time elapsed: 0.066 s
% 1.57/0.71 % (1176543)Peak memory usage: 12 MB
% 1.57/0.71 % (1176543)Instructions burned: 116 (million)
% 1.57/0.71 % TRYING [4]
% 1.57/0.71 % (1176544)Instruction limit reached!
% 1.57/0.71 % (1176544)------------------------------
% 1.57/0.71 % (1176544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.71 % (1176544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.71 % (1176544)CaDiCaL version: 2.1.3
% 1.57/0.71 % (1176544)Termination reason: Instruction limit
% 1.57/0.71 % (1176544)Termination phase: Saturation
% 1.57/0.71 % (1176544)Time elapsed: 0.074 s
% 1.57/0.71 % (1176544)Peak memory usage: 13 MB
% 1.57/0.71 % (1176544)Instructions burned: 131 (million)
% 1.57/0.71 % (1176571)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1882963205:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.57/0.71 % (1176573)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=1194111317:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.57/0.71 % (1176574)ott-21_1_sil=16000:fs=off:random_seed=1139318985:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.57/0.71 % (1176571)Instruction limit reached!
% 1.57/0.71 % (1176571)------------------------------
% 1.57/0.71 % (1176571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.71 % (1176571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.71 % (1176571)CaDiCaL version: 2.1.3
% 1.57/0.71 % (1176571)Termination reason: Instruction limit
% 1.57/0.71 % (1176571)Termination phase: Saturation
% 1.57/0.71 % (1176571)Time elapsed: 0.077 s
% 1.57/0.71 % (1176571)Peak memory usage: 13 MB
% 1.57/0.71 % (1176571)Instructions burned: 132 (million)
% 1.57/0.71 % (1176578)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3545697488:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.57/0.71 % (1176574)Instruction limit reached!
% 1.57/0.71 % (1176574)------------------------------
% 1.57/0.71 % (1176574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.71 % (1176574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.71 % (1176574)CaDiCaL version: 2.1.3
% 1.57/0.71 % (1176574)Termination reason: Instruction limit
% 1.57/0.71 % (1176574)Termination phase: Saturation
% 1.57/0.71 % (1176574)Time elapsed: 0.087 s
% 1.57/0.71 % (1176574)Peak memory usage: 12 MB
% 1.57/0.71 % (1176574)Instructions burned: 180 (million)
% 1.57/0.71 % (1176580)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1474174806:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.57/0.71 % TRYING [1]
% 1.57/0.71 % TRYING [2]
% 1.57/0.71 % TRYING [3]
% 1.57/0.71 % TRYING [4]
% 1.57/0.71 % (1176541) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1176529-1176541"...
% 1.57/0.71 % (1176541)...printing done.
% 1.57/0.71 % (1176541)Refutation found. Thanks to Tanya!
% 1.57/0.71 % SZS status Unsatisfiable for theBenchmark
% 1.57/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 1.57/0.71 % (1176541)------------------------------
% 1.57/0.71 % (1176541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.71 % (1176541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.71 % (1176541)CaDiCaL version: 2.1.3
% 1.57/0.71 % (1176541)Termination reason: Refutation
% 1.57/0.71 % (1176541)Time elapsed: 0.229 s
% 1.57/0.71 % (1176541)Peak memory usage: 15 MB
% 1.57/0.71 % (1176541)Instructions burned: 476 (million)
% 1.57/0.71 % (1176529)Success in time 0.264 s
% 1.57/0.71 % Vampire exiting
%------------------------------------------------------------------------------