%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP432-1 : 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 10:17:49 AM UTC 2026
% Result : Unsatisfiable 7.81s 1.85s
% Output : Refutation 7.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 2
% Syntax : Number of formulae : 88 ( 88 unt; 0 def)
% Number of atoms : 88 ( 87 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 312 ( 312 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),X0)))) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f3,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,inverse(multiply(inverse(multiply(X2,multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X0,X2))),X4))),multiply(multiply(multiply(X5,inverse(X5)),inverse(X0)),X1)))) = X4,
inference(superposition,[],[f1,f1]) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,X3))),multiply(X4,inverse(X4))),multiply(X0,X1)))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f12,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X2,X0))),multiply(X5,inverse(X5))) = multiply(X1,inverse(multiply(multiply(X2,multiply(X3,inverse(X3))),multiply(X0,X1)))),
inference(superposition,[],[f1,f4]) ).
fof(f31,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,inverse(multiply(multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X2))),multiply(X3,X0)))),multiply(X1,X4)))) = X3,
inference(superposition,[],[f4,f12]) ).
fof(f32,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X2))),multiply(X3,X0))))))) = X1,
inference(superposition,[],[f1,f12]) ).
fof(f76,plain,
! [X2,X0,X1,X4] : multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0))) = multiply(multiply(X4,inverse(X4)),inverse(multiply(X2,X0))),
inference(superposition,[],[f32,f4]) ).
fof(f105,plain,
! [X0,X1,X6] : multiply(multiply(X6,inverse(X6)),inverse(X0)) = multiply(multiply(X1,inverse(X1)),inverse(X0)),
inference(superposition,[],[f76,f32]) ).
fof(f170,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(X6,inverse(X6)) = multiply(X3,inverse(multiply(multiply(inverse(multiply(X1,X2)),inverse(multiply(multiply(X4,multiply(X5,inverse(X5))),multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2)))))),multiply(X4,X3)))),
inference(superposition,[],[f31,f76]) ).
fof(f172,plain,
! [X0,X6] : multiply(X0,inverse(X0)) = multiply(X6,inverse(X6)),
inference(forward_demodulation,[],[f170,f31]) ).
fof(f202,plain,
! [X2,X3,X0,X1] : inverse(X2) = multiply(X1,inverse(multiply(multiply(multiply(X0,inverse(X0)),multiply(X3,inverse(X3))),multiply(X2,X1)))),
inference(superposition,[],[f4,f172]) ).
fof(f203,plain,
! [X2,X0,X1] : multiply(X1,inverse(multiply(inverse(X2),multiply(multiply(X0,inverse(X0)),X1)))) = X2,
inference(superposition,[],[f1,f172]) ).
fof(f214,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(multiply(inverse(X2),multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X0,inverse(X0)))),X1)))) = X2,
inference(superposition,[],[f1,f172]) ).
fof(f216,plain,
! [X2,X3,X0,X1,X4] : inverse(X3) = multiply(X1,inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,inverse(X0)))),multiply(X4,inverse(X4))),multiply(X3,X1)))),
inference(superposition,[],[f4,f172]) ).
fof(f231,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,inverse(X1))),inverse(multiply(inverse(X2),multiply(X0,inverse(X0))))) = X2,
inference(superposition,[],[f203,f172]) ).
fof(f322,plain,
! [X2,X0,X1] : multiply(X2,inverse(X2)) = multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))),
inference(superposition,[],[f172,f105]) ).
fof(f335,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(X5,inverse(multiply(multiply(multiply(X3,inverse(X3)),multiply(X6,inverse(X6))),multiply(inverse(X1),X5)))) = multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X0,inverse(X0)),inverse(X1)))),multiply(X4,inverse(X4))),
inference(superposition,[],[f12,f105]) ).
fof(f341,plain,
! [X2,X0,X1,X4] : multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X0,inverse(X0)),inverse(X1)))),multiply(X4,inverse(X4))) = inverse(inverse(X1)),
inference(forward_demodulation,[],[f335,f202]) ).
fof(f387,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(X4) = multiply(X2,inverse(multiply(multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))))),multiply(X5,inverse(X5))),multiply(X4,X2)))),
inference(superposition,[],[f4,f322]) ).
fof(f423,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(X4,inverse(X4))) = multiply(X1,inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,inverse(X0)))),multiply(X5,inverse(X5))),multiply(multiply(X3,inverse(X3)),X1)))),
inference(superposition,[],[f4,f322]) ).
fof(f432,plain,
! [X3,X4] : inverse(multiply(X4,inverse(X4))) = inverse(multiply(X3,inverse(X3))),
inference(forward_demodulation,[],[f423,f216]) ).
fof(f435,plain,
! [X2,X1,X4] : inverse(X4) = multiply(X2,inverse(multiply(inverse(inverse(multiply(X1,inverse(X1)))),multiply(X4,X2)))),
inference(forward_demodulation,[],[f387,f341]) ).
fof(f453,plain,
! [X2,X0,X1] : inverse(multiply(X2,inverse(X2))) = inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1))))),
inference(superposition,[],[f432,f105]) ).
fof(f555,plain,
! [X2,X0,X1] : inverse(X1) = multiply(inverse(X1),inverse(multiply(inverse(inverse(multiply(X2,inverse(X2)))),multiply(X0,inverse(X0))))),
inference(superposition,[],[f435,f172]) ).
fof(f565,plain,
! [X2,X0,X1] : inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(inverse(multiply(X2,inverse(X2)))))))) = X1,
inference(superposition,[],[f1,f435]) ).
fof(f774,plain,
! [X0,X1,X4] : multiply(multiply(X1,inverse(X1)),X0) = multiply(multiply(X4,inverse(X4)),X0),
inference(superposition,[],[f105,f565]) ).
fof(f986,plain,
! [X3,X0,X4] : multiply(X0,inverse(multiply(inverse(inverse(multiply(X3,inverse(X3)))),multiply(X4,inverse(X4))))) = X0,
inference(superposition,[],[f555,f565]) ).
fof(f1078,plain,
! [X2,X0,X1] : multiply(X2,inverse(X2)) = multiply(inverse(inverse(multiply(X0,inverse(X0)))),multiply(X1,inverse(X1))),
inference(superposition,[],[f172,f986]) ).
fof(f1106,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,inverse(X3)) = multiply(X1,inverse(multiply(multiply(multiply(X0,inverse(X0)),multiply(X4,inverse(X4))),multiply(inverse(inverse(multiply(X2,inverse(X2)))),X1)))),
inference(superposition,[],[f4,f986]) ).
fof(f1114,plain,
! [X2,X3] : multiply(X3,inverse(X3)) = inverse(inverse(inverse(multiply(X2,inverse(X2))))),
inference(forward_demodulation,[],[f1106,f202]) ).
fof(f1195,plain,
! [X0,X1] : inverse(multiply(X1,inverse(X1))) = inverse(inverse(inverse(inverse(multiply(X0,inverse(X0)))))),
inference(superposition,[],[f565,f1114]) ).
fof(f1948,plain,
! [X0,X1] : multiply(X1,inverse(multiply(X0,inverse(X0)))) = X1,
inference(superposition,[],[f986,f1078]) ).
fof(f1951,plain,
! [X2,X0,X1] : inverse(multiply(X2,inverse(X2))) = multiply(inverse(multiply(X1,inverse(X1))),inverse(multiply(X0,inverse(X0)))),
inference(superposition,[],[f231,f1078]) ).
fof(f2022,plain,
! [X0,X1] : multiply(X1,inverse(inverse(inverse(inverse(multiply(X0,inverse(X0))))))) = X1,
inference(superposition,[],[f1948,f1195]) ).
fof(f2126,plain,
! [X2,X0,X1] : multiply(X2,inverse(inverse(inverse(inverse(multiply(inverse(inverse(multiply(X0,inverse(X0)))),multiply(X1,inverse(X1)))))))) = X2,
inference(superposition,[],[f2022,f1078]) ).
fof(f4298,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X0,inverse(X0)))),X5))),multiply(multiply(multiply(X6,inverse(X6)),inverse(multiply(X4,inverse(X4)))),X1)))) = X5,
inference(superposition,[],[f3,f453]) ).
fof(f4528,plain,
! [X2,X3,X0,X5] : multiply(inverse(multiply(X2,inverse(X2))),multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X0,inverse(X0)))),X5)) = X5,
inference(forward_demodulation,[],[f4298,f214]) ).
fof(f4569,plain,
! [X2,X3,X5] : multiply(inverse(multiply(X2,inverse(X2))),multiply(multiply(X3,inverse(X3)),X5)) = X5,
inference(forward_demodulation,[],[f4528,f1948]) ).
fof(f4672,plain,
! [X2,X0,X1] : inverse(multiply(X2,inverse(X2))) = multiply(inverse(multiply(X1,inverse(X1))),multiply(X0,inverse(X0))),
inference(superposition,[],[f4569,f172]) ).
fof(f4989,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(X1,inverse(X1)),inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(multiply(X3,inverse(X3)),inverse(multiply(multiply(X4,multiply(X5,inverse(X5))),inverse(multiply(X0,inverse(X0))))))))) = X4,
inference(superposition,[],[f32,f4672]) ).
fof(f4992,plain,
! [X0,X1,X4,X5] : multiply(multiply(X1,inverse(X1)),inverse(inverse(multiply(multiply(X4,multiply(X5,inverse(X5))),inverse(multiply(X0,inverse(X0))))))) = X4,
inference(forward_demodulation,[],[f4989,f4569]) ).
fof(f5066,plain,
! [X1,X4,X5] : multiply(multiply(X1,inverse(X1)),inverse(inverse(multiply(X4,multiply(X5,inverse(X5)))))) = X4,
inference(forward_demodulation,[],[f4992,f1948]) ).
fof(f5319,plain,
! [X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X1))),X0) = inverse(inverse(multiply(X0,multiply(X3,inverse(X3))))),
inference(superposition,[],[f4569,f5066]) ).
fof(f5462,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X2,inverse(X2))),X3) = inverse(inverse(multiply(X3,multiply(multiply(X4,inverse(X4)),multiply(inverse(multiply(X0,inverse(X0))),inverse(multiply(X1,inverse(X1)))))))),
inference(superposition,[],[f5319,f1951]) ).
fof(f5538,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,inverse(inverse(inverse(inverse(multiply(inverse(inverse(multiply(X0,inverse(X0)))),multiply(X1,inverse(X1))))))))))) = X3,
inference(superposition,[],[f565,f5319]) ).
fof(f5614,plain,
! [X2,X0,X1] : multiply(multiply(X2,inverse(X2)),multiply(inverse(multiply(X0,inverse(X0))),X1)) = X1,
inference(superposition,[],[f5066,f5319]) ).
fof(f5710,plain,
! [X2,X3] : inverse(multiply(multiply(X2,inverse(X2)),inverse(X3))) = X3,
inference(forward_demodulation,[],[f5538,f2126]) ).
fof(f5731,plain,
! [X2,X3,X1] : multiply(inverse(multiply(X2,inverse(X2))),X3) = inverse(inverse(multiply(X3,inverse(multiply(X1,inverse(X1)))))),
inference(forward_demodulation,[],[f5462,f5614]) ).
fof(f5766,plain,
! [X2,X3] : inverse(inverse(X3)) = multiply(inverse(multiply(X2,inverse(X2))),X3),
inference(forward_demodulation,[],[f5731,f1948]) ).
fof(f5893,plain,
! [X0,X1] : multiply(X1,multiply(X0,inverse(X0))) = X1,
inference(superposition,[],[f1948,f5710]) ).
fof(f5906,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X4,inverse(multiply(multiply(multiply(X2,inverse(X2)),multiply(X5,inverse(X5))),multiply(inverse(X0),X4)))) = multiply(multiply(multiply(X1,inverse(X1)),X0),multiply(X3,inverse(X3))),
inference(superposition,[],[f12,f5710]) ).
fof(f5926,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X1))),inverse(multiply(inverse(X2),multiply(multiply(multiply(X3,inverse(X3)),inverse(X0)),X0)))) = X2,
inference(superposition,[],[f231,f5710]) ).
fof(f5982,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X1))),X2) = inverse(inverse(multiply(X2,multiply(multiply(multiply(X3,inverse(X3)),inverse(X0)),X0)))),
inference(superposition,[],[f5319,f5710]) ).
fof(f5983,plain,
! [X2,X3,X0] : inverse(inverse(X2)) = inverse(inverse(multiply(X2,multiply(multiply(multiply(X3,inverse(X3)),inverse(X0)),X0)))),
inference(forward_demodulation,[],[f5982,f5766]) ).
fof(f5998,plain,
! [X2,X3,X0] : inverse(inverse(inverse(multiply(inverse(X2),multiply(multiply(multiply(X3,inverse(X3)),inverse(X0)),X0))))) = X2,
inference(forward_demodulation,[],[f5926,f5766]) ).
fof(f6000,plain,
! [X3,X0,X1] : inverse(inverse(X0)) = multiply(multiply(multiply(X1,inverse(X1)),X0),multiply(X3,inverse(X3))),
inference(forward_demodulation,[],[f5906,f202]) ).
fof(f6080,plain,
! [X2] : inverse(inverse(inverse(inverse(X2)))) = X2,
inference(forward_demodulation,[],[f5998,f5983]) ).
fof(f6082,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X1,inverse(X1)),X0),
inference(forward_demodulation,[],[f6000,f5893]) ).
fof(f6175,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X4,inverse(multiply(multiply(X1,multiply(X5,inverse(X5))),multiply(X2,X4)))) = multiply(multiply(multiply(inverse(inverse(inverse(X0))),X0),inverse(multiply(X1,X2))),multiply(X3,inverse(X3))),
inference(superposition,[],[f12,f6080]) ).
fof(f6198,plain,
! [X2,X0,X1] : multiply(multiply(X1,inverse(X1)),X2) = multiply(multiply(inverse(inverse(inverse(X0))),X0),X2),
inference(superposition,[],[f774,f6080]) ).
fof(f6275,plain,
! [X2,X0] : inverse(inverse(X2)) = multiply(multiply(inverse(inverse(inverse(X0))),X0),X2),
inference(forward_demodulation,[],[f6198,f6082]) ).
fof(f6291,plain,
! [X2,X0,X1,X4,X5] : multiply(X4,inverse(multiply(multiply(X1,multiply(X5,inverse(X5))),multiply(X2,X4)))) = multiply(multiply(inverse(inverse(inverse(X0))),X0),inverse(multiply(X1,X2))),
inference(forward_demodulation,[],[f6175,f5893]) ).
fof(f6325,plain,
! [X2,X1,X4,X5] : multiply(X4,inverse(multiply(multiply(X1,multiply(X5,inverse(X5))),multiply(X2,X4)))) = inverse(inverse(inverse(multiply(X1,X2)))),
inference(forward_demodulation,[],[f6291,f6275]) ).
fof(f6336,plain,
! [X2,X1,X4] : multiply(X4,inverse(multiply(X1,multiply(X2,X4)))) = inverse(inverse(inverse(multiply(X1,X2)))),
inference(forward_demodulation,[],[f6325,f5893]) ).
fof(f6388,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X0)))) = multiply(X1,inverse(multiply(inverse(X0),multiply(multiply(multiply(X4,inverse(X4)),inverse(X3)),X1)))),
inference(superposition,[],[f3,f5893]) ).
fof(f6389,plain,
! [X2,X0,X1] : multiply(inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0)))),inverse(X0)) = X2,
inference(superposition,[],[f1,f5893]) ).
fof(f6423,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,X3))),multiply(X4,inverse(X4))) = multiply(inverse(X3),inverse(multiply(X0,multiply(X1,inverse(X1))))),
inference(superposition,[],[f12,f5893]) ).
fof(f6442,plain,
! [X2,X3,X0,X4] : multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,X3))),multiply(X4,inverse(X4))) = multiply(inverse(X3),inverse(X0)),
inference(forward_demodulation,[],[f6423,f5893]) ).
fof(f6467,plain,
! [X2,X0] : multiply(multiply(X2,X0),inverse(X0)) = X2,
inference(forward_demodulation,[],[f6389,f5710]) ).
fof(f6468,plain,
! [X2,X3,X0,X4] : inverse(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X0)))) = inverse(inverse(inverse(multiply(inverse(X0),multiply(multiply(X4,inverse(X4)),inverse(X3)))))),
inference(forward_demodulation,[],[f6388,f6336]) ).
fof(f6510,plain,
! [X2,X3,X0] : multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,X3))) = multiply(inverse(X3),inverse(X0)),
inference(forward_demodulation,[],[f6442,f5893]) ).
fof(f6531,plain,
! [X2,X3,X0] : inverse(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X0)))) = inverse(inverse(inverse(multiply(inverse(X0),inverse(inverse(inverse(X3))))))),
inference(forward_demodulation,[],[f6468,f6082]) ).
fof(f6540,plain,
! [X3,X0] : multiply(inverse(X3),inverse(X0)) = inverse(inverse(inverse(multiply(X0,X3)))),
inference(forward_demodulation,[],[f6510,f6082]) ).
fof(f6548,plain,
! [X3,X0] : multiply(X3,X0) = inverse(inverse(inverse(multiply(inverse(X0),inverse(inverse(inverse(X3))))))),
inference(forward_demodulation,[],[f6531,f5710]) ).
fof(f6553,plain,
! [X3,X0] : multiply(X3,X0) = multiply(inverse(inverse(inverse(inverse(X3)))),inverse(inverse(X0))),
inference(forward_demodulation,[],[f6548,f6540]) ).
fof(f6558,plain,
! [X3,X0] : multiply(X3,X0) = multiply(X3,inverse(inverse(X0))),
inference(forward_demodulation,[],[f6553,f6080]) ).
fof(f6574,plain,
! [X2,X0,X1] : multiply(X0,inverse(inverse(multiply(inverse(X0),multiply(multiply(X2,inverse(X2)),X1))))) = X1,
inference(superposition,[],[f6467,f203]) ).
fof(f6712,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(X0),multiply(multiply(X2,inverse(X2)),X1))) = X1,
inference(forward_demodulation,[],[f6574,f6558]) ).
fof(f6755,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),inverse(inverse(X1)))) = X1,
inference(forward_demodulation,[],[f6712,f6082]) ).
fof(f6786,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f6755,f6558]) ).
fof(f8640,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,X2)))),X0) = multiply(X1,inverse(multiply(inverse(multiply(X2,X0)),multiply(multiply(multiply(X5,inverse(X5)),inverse(X4)),X1)))),
inference(superposition,[],[f3,f6786]) ).
fof(f8643,plain,
! [X2,X3,X0,X4,X5] : multiply(inverse(multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,X2)))),X0) = inverse(inverse(inverse(multiply(inverse(multiply(X2,X0)),multiply(multiply(X5,inverse(X5)),inverse(X4)))))),
inference(forward_demodulation,[],[f8640,f6336]) ).
fof(f8721,plain,
! [X2,X3,X0,X4,X5] : multiply(inverse(multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,X2)))),X0) = multiply(inverse(multiply(multiply(X5,inverse(X5)),inverse(X4))),inverse(inverse(multiply(X2,X0)))),
inference(forward_demodulation,[],[f8643,f6540]) ).
fof(f8785,plain,
! [X2,X3,X0,X4,X5] : multiply(inverse(multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,X2)))),X0) = multiply(inverse(multiply(multiply(X5,inverse(X5)),inverse(X4))),multiply(X2,X0)),
inference(forward_demodulation,[],[f8721,f6558]) ).
fof(f8837,plain,
! [X2,X3,X0,X4] : multiply(inverse(multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,X2)))),X0) = multiply(X4,multiply(X2,X0)),
inference(forward_demodulation,[],[f8785,f5710]) ).
fof(f8868,plain,
! [X2,X0,X4] : multiply(X4,multiply(X2,X0)) = multiply(multiply(X4,X2),X0),
inference(forward_demodulation,[],[f8837,f5710]) ).
fof(f8893,plain,
$false,
inference(backward_subsumption_resolution,[],[f2,f8868]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP432-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.41 % Computer : n010.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.42 % CPULimit : 300
% 0.14/0.42 % WCLimit : 300
% 0.14/0.42 % DateTime : Sun Sep 27 10:04:46 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.47 Running first-order model finding
% 0.14/0.47 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
% 7.81/1.85 % (718578)Will run a generic schedule for satisfiability detection.
% 7.81/1.85 % (718584)% WARNING: option uhcvi not known.
% 7.81/1.85 % (718583)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=407465335_2999 on theBenchmark for (2999ds/0Mi)
% 7.81/1.85 % TRYING [1]
% 7.81/1.85 % TRYING [2]
% 7.81/1.85 % (718584)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2493065298:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.81/1.85 % TRYING [3]
% 7.81/1.85 % (718589)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4091771332:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.81/1.85 % (718587)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3508865497:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.81/1.85 % (718588)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4120158993:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.81/1.85 % (718585)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1141388705:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.81/1.85 % (718586)dis+10_1_sil=32000:sp=arity:random_seed=3199165863:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.81/1.85 % TRYING [4]
% 7.81/1.85 % (718586)Instruction limit reached!
% 7.81/1.85 % (718586)------------------------------
% 7.81/1.85 % (718586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/1.85 % (718586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/1.85 % (718586)CaDiCaL version: 2.1.3
% 7.81/1.85 % (718586)Termination reason: Instruction limit
% 7.81/1.85 % (718586)Termination phase: Saturation
% 7.81/1.85 % (718586)Time elapsed: 0.094 s
% 7.81/1.85 % (718586)Peak memory usage: 12 MB
% 7.81/1.85 % (718586)Instructions burned: 103 (million)
% 7.81/1.85 % (718587)Instruction limit reached!
% 7.81/1.85 % (718587)------------------------------
% 7.81/1.85 % (718587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/1.85 % (718587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/1.85 % (718587)CaDiCaL version: 2.1.3
% 7.81/1.85 % (718587)Termination reason: Instruction limit
% 7.81/1.85 % (718587)Termination phase: Saturation
% 7.81/1.85 % (718587)Time elapsed: 0.109 s
% 7.81/1.85 % (718587)Peak memory usage: 12 MB
% 7.81/1.85 % (718587)Instructions burned: 116 (million)
% 7.81/1.85 % (718597)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1136538575:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 7.81/1.85 % TRYING [1]
% 7.81/1.85 % TRYING [2]
% 7.81/1.85 % TRYING [3]
% 7.81/1.85 % (718588)Instruction limit reached!
% 7.81/1.85 % (718588)------------------------------
% 7.81/1.85 % (718588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/1.85 % (718588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/1.85 % (718588)CaDiCaL version: 2.1.3
% 7.81/1.85 % (718588)Termination reason: Instruction limit
% 7.81/1.85 % (718588)Termination phase: Saturation
% 7.81/1.85 % (718588)Time elapsed: 0.123 s
% 7.81/1.85 % (718588)Peak memory usage: 12 MB
% 7.81/1.85 % (718588)Instructions burned: 131 (million)
% 7.81/1.85 % (718598)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1120941418:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.81/1.85 % TRYING [4]
% 7.81/1.85 % (718589)Instruction limit reached!
% 7.81/1.85 % (718589)------------------------------
% 7.81/1.85 % (718589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/1.85 % (718589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/1.85 % (718589)CaDiCaL version: 2.1.3
% 7.81/1.85 % (718589)Termination reason: Instruction limit
% 7.81/1.85 % (718589)Termination phase: Saturation
% 7.81/1.85 % (718589)Time elapsed: 0.153 s
% 7.81/1.85 % (718589)Peak memory usage: 13 MB
% 7.81/1.85 % (718589)Instructions burned: 159 (million)
% 7.81/1.85 % (718600)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=2335508542:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.81/1.85 % (718602)ott-21_1_sil=16000:fs=off:random_seed=2109007611:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.81/1.85 % (718598)Instruction limit reached!
% 7.81/1.85 % (718598)------------------------------
% 7.81/1.85 % (718598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/1.85 % (718598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/1.85 % (718598)CaDiCaL version: 2.1.3
% 7.81/1.85 % (718598)Termination reason: Instruction limit
% 7.81/1.85 % (718598)Termination phase: Saturation
% 7.81/1.85 % (718598)Time elapsed: 0.127 s
% 7.81/1.85 % (718598)Peak memory usage: 12 MB
% 7.81/1.85 % (718598)Instructions burned: 132 (million)
% 7.81/1.85 % (718605)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2913402469:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 7.81/1.85 % (718602)Instruction limit reached!
% 7.81/1.85 % (718602)------------------------------
% 7.81/1.85 % (718602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/1.85 % (718602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/1.85 % (718602)CaDiCaL version: 2.1.3
% 7.81/1.85 % (718602)Termination reason: Instruction limit
% 7.81/1.85 % (718602)Termination phase: Saturation
% 7.81/1.85 % (718602)Time elapsed: 0.164 s
% 7.81/1.85 % (718602)Peak memory usage: 12 MB
% 7.81/1.85 % (718602)Instructions burned: 181 (million)
% 7.81/1.85 % (718607)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=896288178:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 7.81/1.85 % TRYING [1]
% 7.81/1.85 % TRYING [2]
% 7.81/1.85 % TRYING [3]
% 7.81/1.85 % TRYING [4]
% 7.81/1.85 % TRYING [5]
% 7.81/1.85 % (718605)Instruction limit reached!
% 7.81/1.85 % (718605)------------------------------
% 7.81/1.85 % (718605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/1.85 % (718605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/1.85 % (718605)CaDiCaL version: 2.1.3
% 7.81/1.85 % (718605)Termination reason: Instruction limit
% 7.81/1.85 % (718605)Termination phase: Saturation
% 7.81/1.85 % (718605)Time elapsed: 0.412 s
% 7.81/1.85 % (718605)Peak memory usage: 15 MB
% 7.81/1.85 % (718605)Instructions burned: 478 (million)
% 7.81/1.85 % (718597)Instruction limit reached!
% 7.81/1.85 % (718597)------------------------------
% 7.81/1.85 % (718597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/1.85 % (718597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/1.85 % (718597)CaDiCaL version: 2.1.3
% 7.81/1.85 % (718597)Termination reason: Instruction limit
% 7.81/1.85 % (718597)Termination phase: Finite model building SAT solving
% 7.81/1.85 % (718597)Time elapsed: 0.606 s
% 7.81/1.85 % (718597)Peak memory usage: 12 MB
% 7.81/1.85 % (718597)Instructions burned: 715 (million)
% 7.81/1.85 % (718611)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2196702896:i=1179_2992 on theBenchmark for (2992ds/1179Mi)
% 7.81/1.85 % (718600)Instruction limit reached!
% 7.81/1.85 % (718600)------------------------------
% 7.81/1.85 % (718600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/1.85 % (718600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/1.85 % (718600)CaDiCaL version: 2.1.3
% 7.81/1.85 % (718600)Termination reason: Instruction limit
% 7.81/1.85 % (718600)Termination phase: Saturation
% 7.81/1.85 % (718600)Time elapsed: 0.599 s
% 7.81/1.85 % (718600)Peak memory usage: 17 MB
% 7.81/1.85 % (718600)Instructions burned: 684 (million)
% 7.81/1.85 % (718612)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3162833474:i=889:ins=1_2992 on theBenchmark for (2992ds/889Mi)
% 7.81/1.85 % (718615)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=4002611329:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2992 on theBenchmark for (2992ds/692Mi)
% 7.81/1.85 % TRYING [14]
% 7.81/1.85 % TRYING [5]
% 7.81/1.85 % (718607)Instruction limit reached!
% 7.81/1.85 % (718607)------------------------------
% 7.81/1.85 % (718607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/1.85 % (718607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/1.85 % (718607)CaDiCaL version: 2.1.3
% 7.81/1.85 % (718607)Termination reason: Instruction limit
% 7.81/1.85 % (718607)Termination phase: Finite model building SAT solving
% 7.81/1.85 % (718607)Time elapsed: 0.833 s
% 7.81/1.85 % (718607)Peak memory usage: 11 MB
% 7.81/1.85 % (718607)Instructions burned: 865 (million)
% 7.81/1.85 % (718617)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2206438736:i=879:kws=inv_precedence:fsr=off_2987 on theBenchmark for (2987ds/879Mi)
% 7.81/1.85 % (718615) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-718578-718615"...
% 7.81/1.85 % (718615)...printing done.
% 7.81/1.85 % (718615)Refutation found. Thanks to Tanya!
% 7.81/1.85 % SZS status Unsatisfiable for theBenchmark
% 7.81/1.85 % SZS output start Proof for theBenchmark
% See solution above
% 7.81/1.85 % (718615)------------------------------
% 7.81/1.85 % (718615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/1.85 % (718615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/1.85 % (718615)CaDiCaL version: 2.1.3
% 7.81/1.85 % (718615)Termination reason: Refutation
% 7.81/1.85 % (718615)Time elapsed: 0.520 s
% 7.81/1.85 % (718615)Peak memory usage: 17 MB
% 7.81/1.85 % (718615)Instructions burned: 551 (million)
% 7.81/1.85 % (718578)Success in time 1.366 s
% 7.81/1.85 % Vampire exiting
%------------------------------------------------------------------------------