%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP418-1 : 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 : n010.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 10:17:46 AM UTC 2026
% Result : Unsatisfiable 2.04s 0.81s
% Output : Refutation 2.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 19 unt; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 14 ( 4 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X0,X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
fof(f3,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X2,inverse(multiply(inverse(X0),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X2,X3)) = inverse(multiply(inverse(multiply(X1,inverse(multiply(X0,inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X1,X4))),
inference(superposition,[],[f1,f1]) ).
fof(f15,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X0)),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X1,X2)) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f27,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X0)),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(inverse(X3)),inverse(multiply(multiply(X1,X2),inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X2))))))))),X0) = X3,
inference(superposition,[],[f15,f15]) ).
fof(f33,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X0)),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(X3),inverse(multiply(multiply(X1,X2),inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X2))))))))),X0)) = X3,
inference(superposition,[],[f1,f15]) ).
fof(f257,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),inverse(multiply(inverse(X0),inverse(multiply(multiply(X2,X4),inverse(multiply(inverse(multiply(X2,X4)),multiply(X2,X4)))))))) = inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X3))),
inference(superposition,[],[f1,f33]) ).
fof(f400,plain,
! [X2,X0,X1,X5] : inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))) = inverse(multiply(inverse(multiply(X5,X1)),multiply(X5,X2))),
inference(superposition,[],[f257,f257]) ).
fof(f428,plain,
! [X2,X0,X1] : multiply(inverse(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)))),inverse(multiply(X2,inverse(multiply(inverse(X2),X2))))) = X1,
inference(superposition,[],[f27,f257]) ).
fof(f589,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(multiply(X4,X1),inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X1))))))))),multiply(X2,multiply(X4,X1)))) = X3,
inference(superposition,[],[f1,f400]) ).
fof(f3526,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(multiply(X3,X4),inverse(multiply(inverse(X0),X0)))))))),multiply(X1,multiply(X3,X4)))) = X2,
inference(superposition,[],[f589,f27]) ).
fof(f3762,plain,
! [X2,X0,X1,X5] : inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X0,inverse(multiply(inverse(X5),X5)))))))),multiply(X1,X0))) = X2,
inference(superposition,[],[f3526,f15]) ).
fof(f3999,plain,
! [X2,X3,X0] : multiply(inverse(X0),inverse(multiply(X2,inverse(multiply(inverse(X2),X2))))) = multiply(inverse(X0),inverse(multiply(X2,inverse(multiply(inverse(X3),X3))))),
inference(superposition,[],[f428,f3762]) ).
fof(f4346,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(multiply(inverse(X2),X2))) = multiply(inverse(inverse(multiply(inverse(multiply(inverse(X0),inverse(multiply(X1,inverse(multiply(inverse(X1),X1)))))),multiply(inverse(X0),X3)))),inverse(multiply(X3,inverse(multiply(inverse(X3),X3))))),
inference(superposition,[],[f428,f3999]) ).
fof(f4414,plain,
! [X2,X1] : multiply(X1,inverse(multiply(inverse(X1),X1))) = multiply(X1,inverse(multiply(inverse(X2),X2))),
inference(forward_demodulation,[],[f4346,f428]) ).
fof(f4643,plain,
! [X2,X0,X1] : multiply(inverse(X1),X1) = multiply(inverse(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X0),X0)))),multiply(X0,X2)))),inverse(multiply(X2,inverse(multiply(inverse(X2),X2))))),
inference(superposition,[],[f428,f4414]) ).
fof(f4713,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(forward_demodulation,[],[f4643,f428]) ).
fof(f5054,plain,
! [X0] : multiply(inverse(a1),a1) != multiply(inverse(X0),X0),
inference(superposition,[],[f2,f4713]) ).
fof(f5169,plain,
$false,
inference(forward_subsumption_resolution,[],[f5054,f4713]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP418-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n010.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 10:04:16 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 2.04/0.81 % (717453)Will run a generic schedule for satisfiability detection.
% 2.04/0.81 % (717458)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=505033764_2999 on theBenchmark for (2999ds/0Mi)
% 2.04/0.81 % TRYING [1]
% 2.04/0.81 % TRYING [2]
% 2.04/0.81 % TRYING [3]
% 2.04/0.81 % (717459)% WARNING: option uhcvi not known.
% 2.04/0.81 % (717460)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2888300553:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.04/0.81 % (717459)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=264959703:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.04/0.81 % (717461)dis+10_1_sil=32000:sp=arity:random_seed=2698569562:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.04/0.81 % (717463)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3417379281:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.04/0.81 % (717462)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1069121790:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.04/0.81 % (717464)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2297534581:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.04/0.81 % TRYING [4]
% 2.04/0.81 % (717461)Instruction limit reached!
% 2.04/0.81 % (717461)------------------------------
% 2.04/0.81 % (717461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.81 % (717461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.81 % (717461)CaDiCaL version: 2.1.3
% 2.04/0.81 % (717461)Termination reason: Instruction limit
% 2.04/0.81 % (717461)Termination phase: Saturation
% 2.04/0.81 % (717461)Time elapsed: 0.051 s
% 2.04/0.81 % (717461)Peak memory usage: 11 MB
% 2.04/0.81 % (717461)Instructions burned: 105 (million)
% 2.04/0.81 % (717462)Instruction limit reached!
% 2.04/0.81 % (717462)------------------------------
% 2.04/0.81 % (717462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.81 % (717462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.81 % (717462)CaDiCaL version: 2.1.3
% 2.04/0.81 % (717462)Termination reason: Instruction limit
% 2.04/0.81 % (717462)Termination phase: Saturation
% 2.04/0.81 % (717462)Time elapsed: 0.062 s
% 2.04/0.81 % (717462)Peak memory usage: 12 MB
% 2.04/0.81 % (717462)Instructions burned: 118 (million)
% 2.04/0.81 % (717463)Instruction limit reached!
% 2.04/0.81 % (717463)------------------------------
% 2.04/0.81 % (717463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.81 % (717463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.81 % (717463)CaDiCaL version: 2.1.3
% 2.04/0.81 % (717463)Termination reason: Instruction limit
% 2.04/0.81 % (717463)Termination phase: Saturation
% 2.04/0.81 % (717463)Time elapsed: 0.070 s
% 2.04/0.81 % (717463)Peak memory usage: 12 MB
% 2.04/0.81 % (717463)Instructions burned: 132 (million)
% 2.04/0.81 % (717472)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=175373829:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.04/0.81 % TRYING [1]
% 2.04/0.81 % TRYING [2]
% 2.04/0.81 % TRYING [3]
% 2.04/0.81 % (717473)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1795604361:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.04/0.81 % (717464)Instruction limit reached!
% 2.04/0.81 % (717464)------------------------------
% 2.04/0.81 % (717464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.81 % (717464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.81 % (717464)CaDiCaL version: 2.1.3
% 2.04/0.81 % (717464)Termination reason: Instruction limit
% 2.04/0.81 % (717464)Termination phase: Saturation
% 2.04/0.81 % (717464)Time elapsed: 0.087 s
% 2.04/0.81 % (717464)Peak memory usage: 13 MB
% 2.04/0.81 % (717464)Instructions burned: 160 (million)
% 2.04/0.81 % (717474)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=2426171396:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.04/0.81 % TRYING [4]
% 2.04/0.81 % (717478)ott-21_1_sil=16000:fs=off:random_seed=1252728649:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.04/0.81 % (717473)Instruction limit reached!
% 2.04/0.81 % (717473)------------------------------
% 2.04/0.81 % (717473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.81 % (717473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.81 % (717473)CaDiCaL version: 2.1.3
% 2.04/0.81 % (717473)Termination reason: Instruction limit
% 2.04/0.81 % (717473)Termination phase: Saturation
% 2.04/0.81 % (717473)Time elapsed: 0.067 s
% 2.04/0.81 % (717473)Peak memory usage: 12 MB
% 2.04/0.81 % (717473)Instructions burned: 131 (million)
% 2.04/0.81 % (717480)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2732184171:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.04/0.81 % (717478)Instruction limit reached!
% 2.04/0.81 % (717478)------------------------------
% 2.04/0.81 % (717478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.81 % (717478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.81 % (717478)CaDiCaL version: 2.1.3
% 2.04/0.81 % (717478)Termination reason: Instruction limit
% 2.04/0.81 % (717478)Termination phase: Saturation
% 2.04/0.81 % (717478)Time elapsed: 0.082 s
% 2.04/0.81 % (717478)Peak memory usage: 11 MB
% 2.04/0.81 % (717478)Instructions burned: 181 (million)
% 2.04/0.81 % (717482)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=37805338:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.04/0.81 % TRYING [1]
% 2.04/0.81 % TRYING [2]
% 2.04/0.81 % TRYING [3]
% 2.04/0.81 % TRYING [4]
% 2.04/0.81 % (717460) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-717453-717460"...
% 2.04/0.81 % (717460)...printing done.
% 2.04/0.81 % (717460)Refutation found. Thanks to Tanya!
% 2.04/0.81 % SZS status Unsatisfiable for theBenchmark
% 2.04/0.81 % SZS output start Proof for theBenchmark
% See solution above
% 2.04/0.81 % (717460)------------------------------
% 2.04/0.81 % (717460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.81 % (717460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.81 % (717460)CaDiCaL version: 2.1.3
% 2.04/0.81 % (717460)Termination reason: Refutation
% 2.04/0.81 % (717460)Time elapsed: 0.340 s
% 2.04/0.81 % (717460)Peak memory usage: 16 MB
% 2.04/0.81 % (717460)Instructions burned: 730 (million)
% 2.04/0.81 % (717453)Success in time 0.383 s
% 2.04/0.81 % Vampire exiting
%------------------------------------------------------------------------------