TSTP Solution File: GRP422-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP422-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 12:06:37 EDT 2024
% Result : Unsatisfiable 78.11s 11.55s
% Output : Refutation 78.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 2
% Syntax : Number of formulae : 115 ( 115 unt; 0 def)
% Number of atoms : 115 ( 114 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 18 ( 3 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 : 470 ( 470 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f183026,plain,
$false,
inference(trivial_inequality_removal,[],[f182528]) ).
fof(f182528,plain,
a2 != a2,
inference(superposition,[],[f2,f181049]) ).
fof(f181049,plain,
! [X2,X1] : multiply(multiply(inverse(X1),X1),X2) = X2,
inference(forward_demodulation,[],[f181048,f180588]) ).
fof(f180588,plain,
! [X3,X1] : inverse(inverse(multiply(multiply(inverse(X1),X1),X3))) = X3,
inference(forward_demodulation,[],[f180587,f180462]) ).
fof(f180462,plain,
! [X3,X0,X4] : multiply(inverse(X4),multiply(inverse(X0),X3)) = inverse(multiply(multiply(inverse(X3),X0),X4)),
inference(forward_demodulation,[],[f180461,f167517]) ).
fof(f167517,plain,
! [X2,X3,X0] : multiply(inverse(X2),X0) = inverse(multiply(inverse(multiply(X3,X0)),multiply(X3,X2))),
inference(forward_demodulation,[],[f166753,f65287]) ).
fof(f65287,plain,
! [X2,X0,X1] : inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),multiply(inverse(X0),inverse(multiply(inverse(X1),X1))))) = X0,
inference(superposition,[],[f55657,f54000]) ).
fof(f54000,plain,
! [X3,X1] : multiply(inverse(X1),X1) = multiply(inverse(X3),X3),
inference(superposition,[],[f53305,f52685]) ).
fof(f52685,plain,
! [X3,X1,X4] : multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X1)),multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))))),multiply(X3,X4)) = X1,
inference(forward_demodulation,[],[f51765,f17]) ).
fof(f17,plain,
! [X2,X0,X1] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X0)))),multiply(inverse(X0),inverse(multiply(inverse(X0),X0))))) = X1,
inference(superposition,[],[f1,f5]) ).
fof(f5,plain,
! [X2,X0,X1] : multiply(inverse(X0),inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))) = inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X0))),
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f51765,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X0)))),multiply(inverse(X0),inverse(multiply(inverse(X0),X0))))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X1)),multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))))),multiply(X3,X4)),
inference(superposition,[],[f3,f5]) ).
fof(f3,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2)) = inverse(multiply(inverse(multiply(X3,inverse(multiply(X1,multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))))),multiply(X3,X4))),
inference(superposition,[],[f1,f1]) ).
fof(f53305,plain,
! [X2,X3,X1,X4] : multiply(inverse(X1),X1) = multiply(inverse(multiply(X3,multiply(X4,X2))),multiply(X3,multiply(X4,X2))),
inference(superposition,[],[f2749,f52685]) ).
fof(f2749,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X3,multiply(X0,X2))),multiply(X3,multiply(X0,X4))) = multiply(X1,multiply(inverse(multiply(X5,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X5,X4))),
inference(superposition,[],[f2013,f1]) ).
fof(f2013,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X5,X4)),multiply(X5,multiply(X0,X2))) = multiply(inverse(multiply(inverse(multiply(X0,X1)),X4)),multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),
inference(superposition,[],[f1697,f1697]) ).
fof(f1697,plain,
! [X2,X3,X1,X5] : multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(X5,X2)),multiply(X5,X3)),
inference(superposition,[],[f53,f1]) ).
fof(f53,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),multiply(inverse(X5),inverse(multiply(inverse(X5),X5))))))),multiply(X4,X5))),
inference(superposition,[],[f1,f12]) ).
fof(f12,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X0))) = inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X0))),
inference(superposition,[],[f5,f5]) ).
fof(f55657,plain,
! [X2,X1] : inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),multiply(inverse(X1),inverse(multiply(inverse(X1),X1))))) = X1,
inference(superposition,[],[f17,f54000]) ).
fof(f166753,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),X0) = inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),multiply(inverse(X0),inverse(multiply(inverse(X2),X2))))))),multiply(X3,X2))),
inference(superposition,[],[f45,f165881]) ).
fof(f165881,plain,
! [X2,X3] : inverse(multiply(inverse(X2),X2)) = inverse(inverse(multiply(inverse(X3),X3))),
inference(forward_demodulation,[],[f164947,f158181]) ).
fof(f158181,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),X3)),multiply(inverse(X1),X1)))),multiply(inverse(X2),X2))) = X3,
inference(forward_demodulation,[],[f157862,f55846]) ).
fof(f55846,plain,
! [X2,X0,X1] : multiply(inverse(X0),inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))) = inverse(multiply(inverse(multiply(inverse(X0),X2)),multiply(inverse(X1),X1))),
inference(superposition,[],[f5,f54000]) ).
fof(f157862,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))))))),multiply(inverse(X2),X2))) = X3,
inference(superposition,[],[f1,f154924]) ).
fof(f154924,plain,
! [X2,X0,X1] : multiply(inverse(X2),X2) = multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X0),X0))),
inference(superposition,[],[f54000,f153565]) ).
fof(f153565,plain,
! [X3,X1] : inverse(inverse(multiply(inverse(X1),X1))) = inverse(inverse(multiply(inverse(X3),X3))),
inference(superposition,[],[f152708,f52685]) ).
fof(f152708,plain,
! [X2,X0,X1] : inverse(inverse(multiply(inverse(X0),X0))) = inverse(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X1)))),
inference(superposition,[],[f52689,f55657]) ).
fof(f52689,plain,
! [X3,X1,X4] : inverse(inverse(multiply(inverse(multiply(X3,inverse(multiply(X1,multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))))),multiply(X3,X4)))) = X1,
inference(forward_demodulation,[],[f51830,f52685]) ).
fof(f51830,plain,
! [X3,X1,X6,X4,X5] : multiply(inverse(multiply(X5,inverse(multiply(inverse(inverse(X1)),multiply(inverse(X6),inverse(multiply(inverse(X6),X6))))))),multiply(X5,X6)) = inverse(inverse(multiply(inverse(multiply(X3,inverse(multiply(X1,multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))))),multiply(X3,X4)))),
inference(superposition,[],[f3,f3]) ).
fof(f164947,plain,
! [X2,X3,X0,X1,X4] : inverse(inverse(multiply(inverse(X3),X3))) = inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),multiply(inverse(X2),X2))),multiply(inverse(X0),X0)))),multiply(inverse(X4),X4)))),
inference(superposition,[],[f153652,f65990]) ).
fof(f65990,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X0),X0)) = inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),multiply(inverse(X1),X1))),
inference(superposition,[],[f65287,f54000]) ).
fof(f153652,plain,
! [X2,X3,X4] : inverse(inverse(multiply(inverse(X4),X4))) = inverse(inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),multiply(inverse(X3),X3)))),
inference(superposition,[],[f152708,f67405]) ).
fof(f67405,plain,
! [X3,X0,X1,X4] : multiply(inverse(multiply(X3,X4)),multiply(X3,X4)) = multiply(inverse(inverse(multiply(inverse(X0),X0))),multiply(inverse(X1),X1)),
inference(forward_demodulation,[],[f67369,f55657]) ).
fof(f67369,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))))),multiply(X3,X4)) = multiply(inverse(inverse(multiply(inverse(X0),X0))),multiply(inverse(X1),X1)),
inference(superposition,[],[f52685,f65990]) ).
fof(f45,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(multiply(inverse(X0),X0))))))),multiply(X3,X0))),
inference(superposition,[],[f1,f12]) ).
fof(f180461,plain,
! [X3,X0,X6,X4] : multiply(inverse(X4),multiply(inverse(X0),X3)) = inverse(multiply(inverse(multiply(inverse(multiply(X6,X0)),multiply(X6,X3))),X4)),
inference(forward_demodulation,[],[f180460,f179973]) ).
fof(f179973,plain,
! [X2,X3,X4] : multiply(inverse(multiply(X2,X3)),multiply(X2,X4)) = multiply(inverse(X3),X4),
inference(forward_demodulation,[],[f179972,f179744]) ).
fof(f179744,plain,
! [X2,X1,X4] : multiply(inverse(X1),X4) = inverse(multiply(multiply(inverse(X4),X1),inverse(inverse(inverse(multiply(inverse(X2),X2)))))),
inference(forward_demodulation,[],[f179743,f175837]) ).
fof(f175837,plain,
! [X2,X3,X0,X4] : multiply(inverse(X0),X4) = inverse(multiply(inverse(multiply(X2,multiply(X3,X4))),multiply(X2,multiply(X3,X0)))),
inference(forward_demodulation,[],[f175836,f170285]) ).
fof(f170285,plain,
! [X2,X3,X0,X1] : multiply(X0,X3) = inverse(multiply(multiply(inverse(X3),X1),multiply(inverse(multiply(X0,X1)),inverse(inverse(multiply(inverse(X2),X2)))))),
inference(forward_demodulation,[],[f170284,f167517]) ).
fof(f170284,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,X3) = inverse(multiply(inverse(multiply(inverse(multiply(X4,X1)),multiply(X4,X3))),multiply(inverse(multiply(X0,X1)),inverse(inverse(multiply(inverse(X2),X2)))))),
inference(forward_demodulation,[],[f168440,f170273]) ).
fof(f170273,plain,
! [X3,X1,X4] : multiply(inverse(X4),X3) = inverse(multiply(inverse(multiply(inverse(X4),X3)),inverse(multiply(inverse(X1),X1)))),
inference(forward_demodulation,[],[f168240,f167517]) ).
fof(f168240,plain,
! [X2,X3,X1,X4] : inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X4))) = inverse(multiply(inverse(multiply(inverse(X4),X3)),inverse(multiply(inverse(X1),X1)))),
inference(superposition,[],[f55848,f167618]) ).
fof(f167618,plain,
! [X0,X1] : multiply(inverse(X0),X0) = inverse(multiply(inverse(X1),X1)),
inference(forward_demodulation,[],[f166959,f52668]) ).
fof(f52668,plain,
! [X0,X1,X6,X5] : multiply(inverse(X0),X1) = multiply(inverse(multiply(X5,inverse(multiply(inverse(inverse(multiply(inverse(X0),X1))),multiply(inverse(X6),inverse(multiply(inverse(X6),X6))))))),multiply(X5,X6)),
inference(forward_demodulation,[],[f52667,f45]) ).
fof(f52667,plain,
! [X3,X0,X1,X6,X7,X5] : multiply(inverse(multiply(X5,inverse(multiply(inverse(inverse(multiply(inverse(X0),X1))),multiply(inverse(X6),inverse(multiply(inverse(X6),X6))))))),multiply(X5,X6)) = inverse(multiply(inverse(multiply(X7,inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,inverse(multiply(inverse(X0),X0))))))),multiply(X7,X0))),
inference(forward_demodulation,[],[f51706,f17]) ).
fof(f51706,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : multiply(inverse(multiply(X5,inverse(multiply(inverse(inverse(multiply(inverse(X0),X1))),multiply(inverse(X6),inverse(multiply(inverse(X6),X6))))))),multiply(X5,X6)) = inverse(multiply(inverse(multiply(X7,inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,multiply(inverse(multiply(X3,X1)),multiply(X3,inverse(multiply(inverse(X0),X0)))))),multiply(X2,X4)))),multiply(inverse(X4),inverse(multiply(inverse(X4),X4)))))))),multiply(X7,X0))),
inference(superposition,[],[f3,f1692]) ).
fof(f1692,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X5,X2)),multiply(X5,X3)) = inverse(multiply(inverse(inverse(multiply(inverse(multiply(X4,multiply(inverse(multiply(X1,X2)),multiply(X1,X3)))),multiply(X4,X0)))),multiply(inverse(X0),inverse(multiply(inverse(X0),X0))))),
inference(superposition,[],[f53,f5]) ).
fof(f166959,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),X0) = inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X2,X3))),
inference(superposition,[],[f1,f165881]) ).
fof(f55848,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X0))) = inverse(multiply(inverse(multiply(inverse(X0),X2)),multiply(inverse(X1),X1))),
inference(superposition,[],[f12,f54000]) ).
fof(f168440,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,X3) = inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X4,X1)),multiply(X4,X3))),inverse(multiply(inverse(X2),X2))))),multiply(inverse(multiply(X0,X1)),inverse(inverse(multiply(inverse(X2),X2)))))),
inference(superposition,[],[f67,f167618]) ).
fof(f67,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,X2) = inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),multiply(inverse(multiply(X0,X1)),X4)))),multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))),
inference(superposition,[],[f17,f12]) ).
fof(f175836,plain,
! [X2,X3,X0,X1,X6,X4] : inverse(multiply(inverse(multiply(X2,multiply(X3,X4))),multiply(X2,multiply(X3,X0)))) = inverse(multiply(multiply(inverse(X4),X6),multiply(inverse(multiply(inverse(X0),X6)),inverse(inverse(multiply(inverse(X1),X1)))))),
inference(forward_demodulation,[],[f174420,f167517]) ).
fof(f174420,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(inverse(multiply(X2,multiply(X3,X4))),multiply(X2,multiply(X3,X0)))) = inverse(multiply(inverse(multiply(inverse(multiply(X5,X6)),multiply(X5,X4))),multiply(inverse(multiply(inverse(X0),X6)),inverse(inverse(multiply(inverse(X1),X1)))))),
inference(superposition,[],[f1930,f168057]) ).
fof(f168057,plain,
! [X2,X1] : multiply(inverse(X2),X2) = inverse(inverse(multiply(inverse(X1),X1))),
inference(superposition,[],[f167618,f167618]) ).
fof(f1930,plain,
! [X2,X0,X1,X8,X6,X7,X4] : inverse(multiply(inverse(multiply(X6,multiply(X0,X7))),multiply(X6,multiply(X0,X2)))) = inverse(multiply(inverse(multiply(inverse(multiply(X8,X1)),multiply(X8,X7))),multiply(inverse(multiply(X4,X1)),multiply(X4,X2)))),
inference(forward_demodulation,[],[f1753,f1]) ).
fof(f1753,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : inverse(multiply(inverse(multiply(X6,multiply(X0,X7))),multiply(X6,multiply(X0,X2)))) = inverse(multiply(inverse(multiply(inverse(multiply(X8,X1)),multiply(X8,X7))),inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X1)),multiply(X4,X2))),multiply(inverse(X5),inverse(multiply(inverse(X5),X5))))))),multiply(X3,X5))))),
inference(superposition,[],[f25,f53]) ).
fof(f25,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(inverse(multiply(X5,multiply(X0,X2))),multiply(X5,X4))) = inverse(multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),multiply(inverse(multiply(X0,X1)),X4))),
inference(superposition,[],[f12,f12]) ).
fof(f179743,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(X3,multiply(X0,X4))),multiply(X3,multiply(X0,X1)))) = inverse(multiply(multiply(inverse(X4),X1),inverse(inverse(inverse(multiply(inverse(X2),X2)))))),
inference(forward_demodulation,[],[f178181,f167517]) ).
fof(f178181,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(inverse(multiply(X3,multiply(X0,X4))),multiply(X3,multiply(X0,X1)))) = inverse(multiply(inverse(multiply(inverse(multiply(X5,X1)),multiply(X5,X4))),inverse(inverse(inverse(multiply(inverse(X2),X2)))))),
inference(superposition,[],[f25,f173577]) ).
fof(f173577,plain,
! [X2,X1] : multiply(inverse(X2),X2) = inverse(inverse(inverse(multiply(inverse(X1),X1)))),
inference(superposition,[],[f168057,f167618]) ).
fof(f179972,plain,
! [X2,X3,X1,X4] : multiply(inverse(multiply(X2,X3)),multiply(X2,X4)) = inverse(multiply(multiply(inverse(X4),X3),inverse(inverse(inverse(multiply(inverse(X1),X1)))))),
inference(forward_demodulation,[],[f179971,f167517]) ).
fof(f179971,plain,
! [X2,X3,X1,X4,X5] : multiply(inverse(multiply(X2,X3)),multiply(X2,X4)) = inverse(multiply(inverse(multiply(inverse(multiply(X5,X3)),multiply(X5,X4))),inverse(inverse(inverse(multiply(inverse(X1),X1)))))),
inference(forward_demodulation,[],[f178579,f179698]) ).
fof(f179698,plain,
! [X3,X0,X1] : inverse(multiply(inverse(X0),inverse(multiply(X3,multiply(inverse(X0),inverse(inverse(inverse(inverse(multiply(inverse(X1),X1)))))))))) = X3,
inference(forward_demodulation,[],[f177961,f167517]) ).
fof(f177961,plain,
! [X2,X3,X0,X1] : inverse(inverse(multiply(inverse(multiply(X2,inverse(multiply(X3,multiply(inverse(X0),inverse(inverse(inverse(inverse(multiply(inverse(X1),X1)))))))))),multiply(X2,X0)))) = X3,
inference(superposition,[],[f52689,f173577]) ).
fof(f178579,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X2,X3)),multiply(X2,X4)) = inverse(multiply(inverse(multiply(inverse(X0),inverse(multiply(inverse(multiply(inverse(multiply(X5,X3)),multiply(X5,X4))),multiply(inverse(X0),inverse(inverse(inverse(inverse(multiply(inverse(X1),X1)))))))))),inverse(inverse(inverse(multiply(inverse(X1),X1)))))),
inference(superposition,[],[f53,f173577]) ).
fof(f180460,plain,
! [X3,X0,X6,X4,X5] : inverse(multiply(inverse(multiply(X5,multiply(inverse(multiply(X6,X0)),multiply(X6,X3)))),multiply(X5,X4))) = multiply(inverse(X4),multiply(inverse(X0),X3)),
inference(forward_demodulation,[],[f178799,f175491]) ).
fof(f175491,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),X2) = inverse(multiply(inverse(multiply(X3,multiply(inverse(inverse(inverse(inverse(multiply(inverse(X1),X1))))),X2))),multiply(X3,X0))),
inference(forward_demodulation,[],[f173739,f167517]) ).
fof(f173739,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X0),X2) = inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,inverse(inverse(inverse(multiply(inverse(X1),X1))))))))),multiply(X3,X0))),
inference(superposition,[],[f45,f168057]) ).
fof(f178799,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(inverse(multiply(X5,multiply(inverse(multiply(X6,X0)),multiply(X6,X3)))),multiply(X5,X4))) = inverse(multiply(inverse(multiply(X2,multiply(inverse(inverse(inverse(inverse(multiply(inverse(X1),X1))))),multiply(inverse(X0),X3)))),multiply(X2,X4))),
inference(superposition,[],[f21479,f173577]) ).
fof(f21479,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(inverse(multiply(X0,multiply(inverse(multiply(X1,X2)),multiply(X1,X3)))),multiply(X0,X4))) = inverse(multiply(inverse(multiply(X6,multiply(inverse(multiply(X5,X2)),multiply(X5,X3)))),multiply(X6,X4))),
inference(superposition,[],[f1,f1692]) ).
fof(f180587,plain,
! [X3,X1] : inverse(multiply(inverse(X3),multiply(inverse(X1),X1))) = X3,
inference(forward_demodulation,[],[f180586,f167517]) ).
fof(f180586,plain,
! [X3,X1,X4] : inverse(multiply(inverse(X3),inverse(multiply(inverse(multiply(X4,X1)),multiply(X4,X1))))) = X3,
inference(forward_demodulation,[],[f180585,f180059]) ).
fof(f180059,plain,
! [X3,X0,X5] : multiply(inverse(X0),X3) = inverse(multiply(multiply(inverse(X3),X5),multiply(inverse(X5),X0))),
inference(forward_demodulation,[],[f180058,f167517]) ).
fof(f180058,plain,
! [X3,X0,X4,X5] : multiply(inverse(X0),X3) = inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,X3))),multiply(inverse(X5),X0))),
inference(forward_demodulation,[],[f180057,f179973]) ).
fof(f180057,plain,
! [X3,X0,X6,X4,X5] : multiply(inverse(X0),X3) = inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,X3))),multiply(inverse(multiply(X6,X5)),multiply(X6,X0)))),
inference(forward_demodulation,[],[f180056,f179699]) ).
fof(f179699,plain,
! [X3,X1,X4] : multiply(inverse(X4),X3) = inverse(multiply(inverse(multiply(inverse(X4),X3)),inverse(inverse(inverse(multiply(inverse(X1),X1)))))),
inference(forward_demodulation,[],[f177971,f167517]) ).
fof(f177971,plain,
! [X2,X3,X1,X4] : inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X4))) = inverse(multiply(inverse(multiply(inverse(X4),X3)),inverse(inverse(inverse(multiply(inverse(X1),X1)))))),
inference(superposition,[],[f55848,f173577]) ).
fof(f180056,plain,
! [X3,X0,X1,X6,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,X3))),multiply(inverse(multiply(X6,X5)),multiply(X6,X0)))) = inverse(multiply(inverse(multiply(inverse(X0),X3)),inverse(inverse(inverse(multiply(inverse(X1),X1)))))),
inference(forward_demodulation,[],[f178625,f179973]) ).
fof(f178625,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,X3))),multiply(inverse(multiply(X6,X5)),multiply(X6,X0)))) = inverse(multiply(inverse(multiply(X2,multiply(inverse(X0),X3))),multiply(X2,inverse(inverse(inverse(multiply(inverse(X1),X1))))))),
inference(superposition,[],[f1930,f173577]) ).
fof(f180585,plain,
! [X3,X0,X1,X4] : inverse(inverse(multiply(multiply(inverse(inverse(multiply(inverse(multiply(X4,X1)),multiply(X4,X1)))),multiply(X0,X1)),multiply(inverse(multiply(X0,X1)),X3)))) = X3,
inference(forward_demodulation,[],[f180584,f179699]) ).
fof(f180584,plain,
! [X2,X3,X0,X1,X4] : inverse(inverse(multiply(multiply(inverse(inverse(multiply(inverse(multiply(X4,X1)),multiply(X4,X1)))),multiply(X0,X1)),inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X3)),inverse(inverse(inverse(multiply(inverse(X2),X2))))))))) = X3,
inference(forward_demodulation,[],[f178864,f180462]) ).
fof(f178864,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X3)),inverse(inverse(inverse(multiply(inverse(X2),X2))))))),multiply(inverse(multiply(X0,X1)),inverse(multiply(inverse(multiply(X4,X1)),multiply(X4,X1)))))) = X3,
inference(superposition,[],[f80,f173577]) ).
fof(f80,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,multiply(X0,X1))))),multiply(inverse(multiply(X0,X1)),inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X1)))))) = X4,
inference(superposition,[],[f17,f12]) ).
fof(f181048,plain,
! [X2,X1] : multiply(multiply(inverse(X1),X1),X2) = inverse(inverse(multiply(multiply(inverse(X1),X1),X2))),
inference(forward_demodulation,[],[f181047,f180462]) ).
fof(f181047,plain,
! [X2,X1] : inverse(multiply(inverse(X2),multiply(inverse(X1),X1))) = multiply(multiply(inverse(X1),X1),X2),
inference(forward_demodulation,[],[f181046,f180042]) ).
fof(f180042,plain,
! [X3,X0,X5] : multiply(inverse(X3),X0) = inverse(multiply(multiply(inverse(X0),X3),inverse(multiply(inverse(X5),X5)))),
inference(forward_demodulation,[],[f180041,f179973]) ).
fof(f180041,plain,
! [X2,X3,X0,X5] : multiply(inverse(multiply(X2,X3)),multiply(X2,X0)) = inverse(multiply(multiply(inverse(X0),X3),inverse(multiply(inverse(X5),X5)))),
inference(forward_demodulation,[],[f180040,f179699]) ).
fof(f180040,plain,
! [X2,X3,X0,X1,X5] : multiply(inverse(multiply(X2,X3)),multiply(X2,X0)) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),X3)),inverse(inverse(inverse(multiply(inverse(X1),X1)))))),inverse(multiply(inverse(X5),X5)))),
inference(forward_demodulation,[],[f180039,f179973]) ).
fof(f180039,plain,
! [X2,X3,X0,X1,X5] : multiply(inverse(multiply(X2,X3)),multiply(X2,X0)) = inverse(multiply(inverse(multiply(inverse(X5),multiply(inverse(multiply(inverse(X0),X3)),inverse(inverse(inverse(multiply(inverse(X1),X1))))))),multiply(inverse(X5),inverse(multiply(inverse(X5),X5))))),
inference(forward_demodulation,[],[f178616,f167517]) ).
fof(f178616,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X2,X3)),multiply(X2,X0)) = inverse(multiply(inverse(inverse(multiply(inverse(multiply(X4,multiply(inverse(multiply(inverse(X0),X3)),inverse(inverse(inverse(multiply(inverse(X1),X1))))))),multiply(X4,X5)))),multiply(inverse(X5),inverse(multiply(inverse(X5),X5))))),
inference(superposition,[],[f1692,f173577]) ).
fof(f181046,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X1),X1),X2) = inverse(multiply(inverse(X2),inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X0),X0)))))),
inference(forward_demodulation,[],[f181045,f180599]) ).
fof(f180599,plain,
! [X3,X1] : inverse(multiply(inverse(X3),X1)) = multiply(inverse(X1),X3),
inference(forward_demodulation,[],[f180598,f167517]) ).
fof(f180598,plain,
! [X3,X0,X1] : inverse(multiply(inverse(X3),X1)) = inverse(multiply(inverse(multiply(X0,X3)),multiply(X0,X1))),
inference(forward_demodulation,[],[f180597,f180059]) ).
fof(f180597,plain,
! [X3,X0,X1,X5] : inverse(multiply(inverse(multiply(X0,X3)),multiply(X0,X1))) = inverse(inverse(multiply(multiply(inverse(X1),X5),multiply(inverse(X5),X3)))),
inference(forward_demodulation,[],[f180596,f179973]) ).
fof(f180596,plain,
! [X3,X0,X1,X6,X5] : inverse(multiply(inverse(multiply(X0,X3)),multiply(X0,X1))) = inverse(inverse(multiply(multiply(inverse(multiply(X6,X1)),multiply(X6,X5)),multiply(inverse(X5),X3)))),
inference(forward_demodulation,[],[f180595,f179973]) ).
fof(f180595,plain,
! [X3,X0,X1,X6,X4,X5] : inverse(multiply(inverse(multiply(X0,X3)),multiply(X0,X1))) = inverse(inverse(multiply(multiply(inverse(multiply(X6,X1)),multiply(X6,X5)),multiply(inverse(multiply(X4,X5)),multiply(X4,X3))))),
inference(forward_demodulation,[],[f180594,f180462]) ).
fof(f180594,plain,
! [X3,X0,X1,X6,X4,X5] : inverse(multiply(inverse(multiply(X0,X3)),multiply(X0,X1))) = inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,X3))),multiply(inverse(multiply(X6,X5)),multiply(X6,X1)))),
inference(forward_demodulation,[],[f178867,f180050]) ).
fof(f180050,plain,
! [X2,X0,X1] : multiply(inverse(X2),X0) = multiply(inverse(multiply(inverse(X0),X2)),inverse(inverse(inverse(multiply(inverse(X1),X1))))),
inference(forward_demodulation,[],[f180049,f180042]) ).
fof(f180049,plain,
! [X2,X0,X1,X5] : multiply(inverse(multiply(inverse(X0),X2)),inverse(inverse(inverse(multiply(inverse(X1),X1))))) = inverse(multiply(multiply(inverse(X0),X2),inverse(multiply(inverse(X5),X5)))),
inference(forward_demodulation,[],[f180048,f167517]) ).
fof(f180048,plain,
! [X2,X0,X1,X4,X5] : multiply(inverse(multiply(inverse(X0),X2)),inverse(inverse(inverse(multiply(inverse(X1),X1))))) = inverse(multiply(inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,X0))),inverse(multiply(inverse(X5),X5)))),
inference(forward_demodulation,[],[f180047,f179973]) ).
fof(f180047,plain,
! [X2,X0,X1,X4,X5] : inverse(multiply(inverse(multiply(inverse(X5),multiply(inverse(multiply(X4,X2)),multiply(X4,X0)))),multiply(inverse(X5),inverse(multiply(inverse(X5),X5))))) = multiply(inverse(multiply(inverse(X0),X2)),inverse(inverse(inverse(multiply(inverse(X1),X1))))),
inference(forward_demodulation,[],[f178618,f167517]) ).
fof(f178618,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(X3,multiply(inverse(multiply(X4,X2)),multiply(X4,X0)))),multiply(X3,X5)))),multiply(inverse(X5),inverse(multiply(inverse(X5),X5))))) = multiply(inverse(multiply(inverse(X0),X2)),inverse(inverse(inverse(multiply(inverse(X1),X1))))),
inference(superposition,[],[f1692,f173577]) ).
fof(f178867,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,X3))),multiply(inverse(multiply(X6,X5)),multiply(X6,X1)))) = inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X3))),inverse(inverse(inverse(multiply(inverse(X2),X2)))))),
inference(superposition,[],[f1930,f173577]) ).
fof(f181045,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X1),X1),X2) = inverse(multiply(inverse(X2),inverse(multiply(multiply(inverse(X1),X1),inverse(inverse(multiply(inverse(X0),X0))))))),
inference(forward_demodulation,[],[f181044,f179973]) ).
fof(f181044,plain,
! [X2,X0,X1,X4] : multiply(multiply(inverse(X1),X1),X2) = inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,inverse(multiply(multiply(inverse(X1),X1),inverse(inverse(multiply(inverse(X0),X0)))))))),
inference(forward_demodulation,[],[f181043,f176005]) ).
fof(f176005,plain,
! [X2,X1] : multiply(inverse(inverse(X2)),inverse(inverse(multiply(inverse(X1),X1)))) = X2,
inference(forward_demodulation,[],[f174614,f175512]) ).
fof(f175512,plain,
! [X3,X0,X1] : inverse(multiply(inverse(X0),inverse(multiply(X3,multiply(inverse(X0),inverse(inverse(inverse(multiply(inverse(X1),X1))))))))) = X3,
inference(forward_demodulation,[],[f173760,f167517]) ).
fof(f173760,plain,
! [X2,X3,X0,X1] : inverse(inverse(multiply(inverse(multiply(X2,inverse(multiply(X3,multiply(inverse(X0),inverse(inverse(inverse(multiply(inverse(X1),X1))))))))),multiply(X2,X0)))) = X3,
inference(superposition,[],[f52689,f168057]) ).
fof(f174614,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(X0),inverse(multiply(inverse(inverse(X2)),multiply(inverse(X0),inverse(inverse(inverse(multiply(inverse(X1),X1))))))))),inverse(inverse(multiply(inverse(X1),X1)))) = X2,
inference(superposition,[],[f52685,f168057]) ).
fof(f181043,plain,
! [X2,X0,X1,X4] : multiply(multiply(inverse(X1),X1),X2) = inverse(multiply(inverse(inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,inverse(multiply(multiply(inverse(X1),X1),inverse(inverse(multiply(inverse(X0),X0))))))))),inverse(inverse(multiply(inverse(X0),X0))))),
inference(forward_demodulation,[],[f179009,f179973]) ).
fof(f179009,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(inverse(X1),X1),X2) = inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,inverse(multiply(multiply(inverse(X1),X1),inverse(inverse(multiply(inverse(X0),X0)))))))))),multiply(X3,inverse(inverse(multiply(inverse(X0),X0)))))),
inference(superposition,[],[f45,f173577]) ).
fof(f2,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP422-1 : TPTP v8.1.2. Released v2.6.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.36 % Computer : n021.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Tue Apr 30 04:31:40 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.37 % (32461)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38 % (32464)WARNING: value z3 for option sas not known
% 0.13/0.38 % (32465)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 % (32468)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.38 % (32467)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.38 % (32464)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38 % (32463)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % (32466)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.39 % (32462)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.39 TRYING [3]
% 0.13/0.39 TRYING [1]
% 0.13/0.39 TRYING [2]
% 0.13/0.39 TRYING [3]
% 0.13/0.39 TRYING [4]
% 0.21/0.50 TRYING [4]
% 2.61/0.75 TRYING [5]
% 7.91/1.48 TRYING [1]
% 7.91/1.48 TRYING [2]
% 7.91/1.49 TRYING [3]
% 7.91/1.50 TRYING [4]
% 10.03/1.80 TRYING [5]
% 77.41/11.53 % (32468)First to succeed.
% 78.11/11.55 % (32468)Refutation found. Thanks to Tanya!
% 78.11/11.55 % SZS status Unsatisfiable for theBenchmark
% 78.11/11.55 % SZS output start Proof for theBenchmark
% See solution above
% 78.11/11.55 % (32468)------------------------------
% 78.11/11.55 % (32468)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 78.11/11.55 % (32468)Termination reason: Refutation
% 78.11/11.55
% 78.11/11.55 % (32468)Memory used [KB]: 100377
% 78.11/11.55 % (32468)Time elapsed: 11.144 s
% 78.11/11.55 % (32468)Instructions burned: 24371 (million)
% 78.11/11.55 % (32468)------------------------------
% 78.11/11.55 % (32468)------------------------------
% 78.11/11.55 % (32461)Success in time 11.137 s
%------------------------------------------------------------------------------