%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP587-1 : 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 : n013.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 10:18:10 AM UTC 2026
% Result : Unsatisfiable 1.34s 0.66s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 3
% Syntax : Number of formulae : 55 ( 55 unt; 0 def)
% Number of atoms : 55 ( 54 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 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 : 119 ( 119 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(X0,inverse(double_divide(inverse(double_divide(double_divide(X0,X1),inverse(X2))),X1))) = 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(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(f6,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(double_divide(double_divide(X1,X2),X3),inverse(X0))),X3) = double_divide(X1,inverse(double_divide(inverse(X0),X2))),
inference(superposition,[],[f1,f1]) ).
fof(f11,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X2),inverse(double_divide(X0,inverse(double_divide(inverse(X1),X2))))) = X1,
inference(superposition,[],[f1,f6]) ).
fof(f22,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(inverse(X1),X2),inverse(double_divide(inverse(X0),X2))),inverse(X0)) = X1,
inference(superposition,[],[f11,f11]) ).
fof(f31,plain,
! [X2,X0,X1] : double_divide(X0,inverse(double_divide(double_divide(double_divide(inverse(X1),X2),X2),inverse(X0)))) = X1,
inference(superposition,[],[f22,f1]) ).
fof(f43,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(double_divide(inverse(X0),X1),X1),inverse(double_divide(double_divide(inverse(X2),X3),X3))),inverse(X0)) = X2,
inference(superposition,[],[f31,f31]) ).
fof(f47,plain,
! [X2,X3,X0,X1] : double_divide(X1,inverse(double_divide(inverse(X0),X2))) = double_divide(double_divide(double_divide(inverse(X0),X3),X3),inverse(double_divide(X1,X2))),
inference(superposition,[],[f1,f31]) ).
fof(f88,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(inverse(X0),X1),X1),inverse(double_divide(inverse(X2),inverse(double_divide(double_divide(inverse(X2),X3),X3))))) = X0,
inference(superposition,[],[f31,f47]) ).
fof(f95,plain,
! [X2,X3,X0] : double_divide(inverse(X2),inverse(double_divide(inverse(X0),inverse(double_divide(double_divide(inverse(X2),X3),X3))))) = X0,
inference(forward_demodulation,[],[f88,f47]) ).
fof(f107,plain,
! [X2,X0,X1] : double_divide(double_divide(inverse(X1),inverse(double_divide(double_divide(inverse(X1),X2),X2))),inverse(X0)) = X0,
inference(superposition,[],[f95,f1]) ).
fof(f143,plain,
! [X2,X3,X0,X1] : double_divide(X0,inverse(double_divide(double_divide(inverse(X1),inverse(double_divide(double_divide(inverse(X1),X2),X2))),inverse(double_divide(inverse(X3),inverse(X0)))))) = X3,
inference(superposition,[],[f11,f107]) ).
fof(f145,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(inverse(X1),inverse(double_divide(double_divide(inverse(X1),X2),X2))),inverse(double_divide(inverse(double_divide(X0,inverse(X3))),inverse(X0)))) = X3,
inference(superposition,[],[f1,f107]) ).
fof(f146,plain,
! [X3,X0] : double_divide(inverse(double_divide(X0,inverse(X3))),inverse(X0)) = X3,
inference(forward_demodulation,[],[f145,f107]) ).
fof(f148,plain,
! [X3,X0] : double_divide(X0,inverse(double_divide(inverse(X3),inverse(X0)))) = X3,
inference(forward_demodulation,[],[f143,f107]) ).
fof(f187,plain,
! [X0,X1] : double_divide(double_divide(X1,inverse(X1)),inverse(X0)) = X0,
inference(superposition,[],[f148,f1]) ).
fof(f217,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(double_divide(X1,inverse(X1)))) = X0,
inference(superposition,[],[f187,f148]) ).
fof(f259,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,inverse(double_divide(inverse(X2),inverse(double_divide(X1,inverse(X1)))))),inverse(X2)) = X0,
inference(superposition,[],[f22,f217]) ).
fof(f269,plain,
! [X2,X0,X1] : double_divide(X0,inverse(double_divide(inverse(X0),inverse(double_divide(inverse(X2),inverse(double_divide(X1,inverse(X1)))))))) = X2,
inference(superposition,[],[f11,f217]) ).
fof(f271,plain,
! [X2,X0,X1] : double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,inverse(X2))),inverse(double_divide(X1,inverse(X1)))))) = X2,
inference(superposition,[],[f1,f217]) ).
fof(f272,plain,
! [X2,X0] : double_divide(inverse(X0),inverse(double_divide(X0,inverse(X2)))) = X2,
inference(forward_demodulation,[],[f271,f217]) ).
fof(f274,plain,
! [X2,X0] : double_divide(X0,inverse(double_divide(inverse(X0),inverse(X2)))) = X2,
inference(forward_demodulation,[],[f269,f217]) ).
fof(f277,plain,
! [X2,X0] : double_divide(double_divide(X0,inverse(X2)),inverse(X2)) = X0,
inference(forward_demodulation,[],[f259,f217]) ).
fof(f285,plain,
! [X0,X1] : inverse(double_divide(X1,inverse(X0))) = double_divide(X0,inverse(X1)),
inference(superposition,[],[f277,f146]) ).
fof(f295,plain,
! [X0,X1] : inverse(X0) = double_divide(double_divide(inverse(X0),X1),X1),
inference(superposition,[],[f277,f107]) ).
fof(f466,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f272,f148]) ).
fof(f513,plain,
! [X2,X0,X1] : inverse(X0) = double_divide(inverse(X1),inverse(double_divide(X0,inverse(double_divide(double_divide(inverse(X1),X2),X2))))),
inference(superposition,[],[f95,f466]) ).
fof(f521,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),X0),inverse(X1)) = X1,
inference(superposition,[],[f187,f466]) ).
fof(f526,plain,
! [X0,X1] : double_divide(double_divide(X1,X0),X0) = X1,
inference(superposition,[],[f277,f466]) ).
fof(f531,plain,
! [X0,X1] : inverse(X0) = double_divide(inverse(X1),inverse(double_divide(X0,inverse(inverse(X1))))),
inference(forward_demodulation,[],[f513,f295]) ).
fof(f536,plain,
! [X0,X1] : inverse(X0) = double_divide(inverse(X1),inverse(double_divide(X0,X1))),
inference(forward_demodulation,[],[f531,f466]) ).
fof(f706,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,inverse(double_divide(double_divide(inverse(X1),X2),X2))),inverse(inverse(X0))) = X1,
inference(superposition,[],[f43,f521]) ).
fof(f708,plain,
! [X2,X0,X1] : double_divide(X1,inverse(double_divide(inverse(inverse(X0)),X2))) = double_divide(X0,inverse(double_divide(X1,X2))),
inference(superposition,[],[f47,f521]) ).
fof(f742,plain,
! [X2,X0,X1] : double_divide(X1,inverse(double_divide(X0,X2))) = double_divide(X0,inverse(double_divide(X1,X2))),
inference(forward_demodulation,[],[f708,f466]) ).
fof(f744,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,inverse(double_divide(double_divide(inverse(X1),X2),X2))),X0) = X1,
inference(forward_demodulation,[],[f706,f466]) ).
fof(f747,plain,
! [X0,X1] : double_divide(double_divide(X0,inverse(inverse(X1))),X0) = X1,
inference(forward_demodulation,[],[f744,f526]) ).
fof(f748,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(forward_demodulation,[],[f747,f466]) ).
fof(f784,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
inference(superposition,[],[f526,f748]) ).
fof(f1053,plain,
inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(b3,c3)),a3)),
inference(superposition,[],[f4,f784]) ).
fof(f1054,plain,
inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(a3,inverse(double_divide(b3,c3)))),
inference(forward_demodulation,[],[f1053,f784]) ).
fof(f1124,plain,
inverse(double_divide(a3,inverse(double_divide(b3,c3)))) != inverse(double_divide(c3,inverse(double_divide(a3,b3)))),
inference(forward_demodulation,[],[f1054,f784]) ).
fof(f1696,plain,
! [X0,X1] : inverse(double_divide(X1,X0)) = double_divide(inverse(X0),inverse(X1)),
inference(superposition,[],[f285,f466]) ).
fof(f2267,plain,
! [X0,X1] : inverse(double_divide(X1,X0)) = double_divide(inverse(X1),inverse(X0)),
inference(superposition,[],[f536,f748]) ).
fof(f3482,plain,
! [X0,X1] : inverse(double_divide(X1,X0)) = inverse(double_divide(X0,X1)),
inference(superposition,[],[f2267,f1696]) ).
fof(f3892,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,X0),inverse(double_divide(inverse(double_divide(X0,X1)),inverse(X2)))) = X2,
inference(superposition,[],[f274,f3482]) ).
fof(f3931,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,X0),double_divide(X2,inverse(inverse(double_divide(X0,X1))))) = X2,
inference(forward_demodulation,[],[f3892,f285]) ).
fof(f4046,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,X0),double_divide(X2,double_divide(X0,X1))) = X2,
inference(forward_demodulation,[],[f3931,f466]) ).
fof(f4654,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,X2),X0) = double_divide(X0,double_divide(X2,X1)),
inference(superposition,[],[f4046,f526]) ).
fof(f9755,plain,
inverse(double_divide(a3,inverse(double_divide(c3,b3)))) != inverse(double_divide(a3,inverse(double_divide(b3,c3)))),
inference(superposition,[],[f1124,f742]) ).
fof(f9756,plain,
inverse(double_divide(a3,inverse(double_divide(c3,b3)))) != double_divide(double_divide(b3,c3),inverse(a3)),
inference(forward_demodulation,[],[f9755,f285]) ).
fof(f10040,plain,
inverse(double_divide(a3,inverse(double_divide(c3,b3)))) != double_divide(inverse(a3),double_divide(b3,c3)),
inference(forward_demodulation,[],[f9756,f784]) ).
fof(f10240,plain,
double_divide(inverse(a3),double_divide(b3,c3)) != double_divide(double_divide(c3,b3),inverse(a3)),
inference(forward_demodulation,[],[f10040,f285]) ).
fof(f10376,plain,
$false,
inference(forward_subsumption_resolution,[],[f10240,f4654]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP587-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n013.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 10:07:06 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 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
% 1.34/0.66 % (4180577)Will run a generic schedule for satisfiability detection.
% 1.34/0.66 % (4180583)% WARNING: option uhcvi not known.
% 1.34/0.66 % (4180586)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=932218110:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.34/0.66 % (4180582)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2823114174_2999 on theBenchmark for (2999ds/0Mi)
% 1.34/0.66 % (4180585)dis+10_1_sil=32000:sp=arity:random_seed=3275646301:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.34/0.66 % (4180584)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1680483463:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.34/0.66 % TRYING [1]
% 1.34/0.66 % TRYING [2]
% 1.34/0.66 % TRYING [3]
% 1.34/0.66 % (4180583)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=405675939:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.34/0.66 % (4180587)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2636321502:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.34/0.66 % (4180588)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3927140016:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.34/0.66 % TRYING [4]
% 1.34/0.66 % (4180586)Instruction limit reached!
% 1.34/0.66 % (4180586)------------------------------
% 1.34/0.66 % (4180586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.34/0.66 % (4180586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.34/0.66 % (4180586)CaDiCaL version: 2.1.3
% 1.34/0.66 % (4180586)Termination reason: Instruction limit
% 1.34/0.66 % (4180586)Termination phase: Saturation
% 1.34/0.66 % (4180586)Time elapsed: 0.042 s
% 1.34/0.66 % (4180586)Peak memory usage: 13 MB
% 1.34/0.66 % (4180586)Instructions burned: 117 (million)
% 1.34/0.66 % (4180598)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4161921657:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.34/0.66 % TRYING [1]
% 1.34/0.66 % TRYING [2]
% 1.34/0.66 % TRYING [3]
% 1.34/0.66 % (4180585)Instruction limit reached!
% 1.34/0.66 % (4180585)------------------------------
% 1.34/0.66 % (4180585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.34/0.66 % (4180585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.34/0.66 % (4180585)CaDiCaL version: 2.1.3
% 1.34/0.66 % (4180585)Termination reason: Instruction limit
% 1.34/0.66 % (4180585)Termination phase: Saturation
% 1.34/0.66 % (4180585)Time elapsed: 0.060 s
% 1.34/0.66 % (4180585)Peak memory usage: 12 MB
% 1.34/0.66 % (4180585)Instructions burned: 105 (million)
% 1.34/0.66 % TRYING [4]
% 1.34/0.66 % (4180600)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4228094504:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.34/0.66 % (4180587)Instruction limit reached!
% 1.34/0.66 % (4180587)------------------------------
% 1.34/0.66 % (4180587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.34/0.66 % (4180587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.34/0.66 % (4180587)CaDiCaL version: 2.1.3
% 1.34/0.66 % (4180587)Termination reason: Instruction limit
% 1.34/0.66 % (4180587)Termination phase: Saturation
% 1.34/0.66 % (4180587)Time elapsed: 0.081 s
% 1.34/0.66 % (4180587)Peak memory usage: 13 MB
% 1.34/0.66 % (4180587)Instructions burned: 131 (million)
% 1.34/0.66 % (4180602)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=1151282725:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.34/0.66 % (4180588)Instruction limit reached!
% 1.34/0.66 % (4180588)------------------------------
% 1.34/0.66 % (4180588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.34/0.66 % (4180588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.34/0.66 % (4180588)CaDiCaL version: 2.1.3
% 1.34/0.66 % (4180588)Termination reason: Instruction limit
% 1.34/0.66 % (4180588)Termination phase: Saturation
% 1.34/0.66 % (4180588)Time elapsed: 0.105 s
% 1.34/0.66 % (4180588)Peak memory usage: 12 MB
% 1.34/0.66 % (4180588)Instructions burned: 159 (million)
% 1.34/0.66 % (4180604)ott-21_1_sil=16000:fs=off:random_seed=3778092191:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.34/0.66 % (4180600)Instruction limit reached!
% 1.34/0.66 % (4180600)------------------------------
% 1.34/0.66 % (4180600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.34/0.66 % (4180600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.34/0.66 % (4180600)CaDiCaL version: 2.1.3
% 1.34/0.66 % (4180600)Termination reason: Instruction limit
% 1.34/0.66 % (4180600)Termination phase: Saturation
% 1.34/0.66 % (4180600)Time elapsed: 0.084 s
% 1.34/0.66 % (4180600)Peak memory usage: 12 MB
% 1.34/0.66 % (4180600)Instructions burned: 131 (million)
% 1.34/0.66 % (4180607)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2142623729:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.34/0.66 % (4180584) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4180577-4180584"...
% 1.34/0.66 % (4180584)...printing done.
% 1.34/0.66 % (4180584)Refutation found. Thanks to Tanya!
% 1.34/0.66 % SZS status Unsatisfiable for theBenchmark
% 1.34/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 1.34/0.66 % (4180584)------------------------------
% 1.34/0.66 % (4180584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.34/0.66 % (4180584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.34/0.66 % (4180584)CaDiCaL version: 2.1.3
% 1.34/0.66 % (4180584)Termination reason: Refutation
% 1.34/0.66 % (4180584)Time elapsed: 0.196 s
% 1.34/0.66 % (4180584)Peak memory usage: 15 MB
% 1.34/0.66 % (4180584)Instructions burned: 371 (million)
% 1.34/0.66 % (4180577)Success in time 0.236 s
% 1.34/0.66 % Vampire exiting
%------------------------------------------------------------------------------