TSTP Solution File: GRP444-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP444-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 20:20:39 EDT 2024
% Result : Unsatisfiable 12.03s 1.92s
% Output : CNFRefutation 12.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 2
% Syntax : Number of formulae : 97 ( 97 unt; 0 def)
% Number of atoms : 97 ( 96 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 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 : 234 ( 234 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] : inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(multiply(D,multiply(A,B))))))) = D,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2,X3] : inverse(multiply(X0,multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X0,X1))))))) = X3,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f4,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f5,plain,
! [X0,X1,X2,X3,X4,X5,X6] : inverse(multiply(X0,multiply(X1,multiply(multiply(multiply(X2,multiply(X3,multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,multiply(X2,X3)))))),X5),inverse(multiply(X6,multiply(X0,X1))))))) = X6,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f6,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X3,X0)))),multiply(multiply(X4,inverse(X4)),X2)))) = X3,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4,X5,X6] : inverse(multiply(multiply(multiply(X0,inverse(X0)),X1),multiply(multiply(multiply(X2,inverse(X2)),X3),multiply(multiply(X4,inverse(X4)),X5)))) = multiply(multiply(X6,inverse(X6)),inverse(multiply(X1,multiply(X3,X5)))),
inference(paramodulation,[status(thm)],[f6,f6]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,multiply(X2,X3)))),multiply(multiply(multiply(X4,inverse(X4)),X1),multiply(multiply(X5,inverse(X5)),X2)))) = X3,
inference(paramodulation,[status(thm)],[f3,f6]) ).
fof(f53,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(multiply(multiply(multiply(X0,inverse(X0)),X1),multiply(multiply(multiply(X2,inverse(X2)),X3),multiply(multiply(X4,inverse(X4)),X5)))) = multiply(multiply(a3,inverse(a3)),inverse(multiply(X1,multiply(X3,X5)))),
inference(equality_split,[status(esa)],[f9]) ).
fof(f55,plain,
! [X0,X1,X2] : X0 = multiply(multiply(a3,inverse(a3)),inverse(multiply(inverse(multiply(X1,multiply(X2,X0))),multiply(X1,X2)))),
inference(paramodulation,[status(thm)],[f10,f53]) ).
fof(f56,plain,
! [X0,X1,X2,X3] : X0 = multiply(multiply(a3,inverse(a3)),inverse(multiply(X1,multiply(inverse(multiply(X2,multiply(X0,multiply(multiply(X3,inverse(X3)),X1)))),X2)))),
inference(paramodulation,[status(thm)],[f6,f53]) ).
fof(f91,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : inverse(multiply(multiply(multiply(X0,inverse(X0)),multiply(multiply(a3,inverse(a3)),inverse(multiply(X1,multiply(X2,X3))))),multiply(multiply(multiply(X4,inverse(X4)),multiply(multiply(X5,inverse(X5)),X1)),multiply(multiply(X6,inverse(X6)),multiply(multiply(X7,inverse(X7)),X2))))) = multiply(multiply(X8,inverse(X8)),X3),
inference(paramodulation,[status(thm)],[f53,f10]) ).
fof(f92,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(multiply(a3,inverse(a3)),inverse(multiply(multiply(multiply(a3,inverse(a3)),inverse(multiply(X0,multiply(X1,X2)))),multiply(multiply(multiply(X3,inverse(X3)),X0),multiply(multiply(X4,inverse(X4)),X1))))) = multiply(multiply(X5,inverse(X5)),X2),
inference(forward_demodulation,[status(thm)],[f53,f91]) ).
fof(f93,plain,
! [X0,X1] : multiply(multiply(a3,inverse(a3)),X0) = multiply(multiply(X1,inverse(X1)),X0),
inference(forward_demodulation,[status(thm)],[f10,f92]) ).
fof(f145,plain,
! [X0,X1,X2,X3,X4,X5,X6] : inverse(multiply(X0,multiply(X1,multiply(multiply(multiply(X2,multiply(X3,multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,multiply(X2,X3)))))),X5),inverse(multiply(multiply(X6,inverse(X6)),multiply(X0,X1))))))) = multiply(a3,inverse(a3)),
inference(paramodulation,[status(thm)],[f93,f5]) ).
fof(f146,plain,
! [X0] : multiply(X0,inverse(X0)) = multiply(a3,inverse(a3)),
inference(forward_demodulation,[status(thm)],[f5,f145]) ).
fof(f211,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X0,X1)))))),X3) = multiply(a3,inverse(a3)),
inference(paramodulation,[status(thm)],[f3,f146]) ).
fof(f212,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(paramodulation,[status(thm)],[f146,f146]) ).
fof(f234,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,multiply(a3,inverse(a3))))),multiply(multiply(multiply(X2,inverse(X2)),X1),multiply(multiply(X3,inverse(X3)),X4)))) = inverse(X4),
inference(paramodulation,[status(thm)],[f146,f10]) ).
fof(f235,plain,
! [X0,X1] : multiply(multiply(a3,inverse(a3)),inverse(multiply(inverse(multiply(X0,multiply(a3,inverse(a3)))),multiply(X0,X1)))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f53,f234]) ).
fof(f236,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(X0),multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(a3,inverse(a3))))),multiply(multiply(X3,inverse(X3)),X2)))) = X0,
inference(paramodulation,[status(thm)],[f146,f6]) ).
fof(f237,plain,
! [X0,X1,X2] : inverse(multiply(X0,multiply(inverse(X0),multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(a3,inverse(a3)))))))) = X2,
inference(paramodulation,[status(thm)],[f146,f3]) ).
fof(f256,plain,
! [X0] : multiply(X0,inverse(X0)) = multiply(a3,inverse(a3)),
inference(equality_split,[status(esa)],[f212]) ).
fof(f779,plain,
! [X0,X1] : inverse(multiply(X0,multiply(inverse(X0),multiply(multiply(a3,inverse(a3)),inverse(multiply(X1,multiply(a3,inverse(a3)))))))) = X1,
inference(forward_demodulation,[status(thm)],[f256,f237]) ).
fof(f804,plain,
! [X0,X1] : inverse(multiply(X0,multiply(inverse(X0),X1))) = inverse(multiply(a3,multiply(inverse(a3),X1))),
inference(paramodulation,[status(thm)],[f55,f779]) ).
fof(f876,plain,
! [X0,X1,X2] : inverse(multiply(multiply(X0,multiply(inverse(X0),X1)),multiply(inverse(multiply(a3,multiply(inverse(a3),X1))),X2))) = inverse(multiply(a3,multiply(inverse(a3),X2))),
inference(paramodulation,[status(thm)],[f804,f804]) ).
fof(f921,plain,
! [X0,X1,X2] : inverse(multiply(inverse(X0),multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(a3,multiply(inverse(a3),X1))))))) = X0,
inference(paramodulation,[status(thm)],[f804,f3]) ).
fof(f922,plain,
! [X0,X1] : inverse(multiply(inverse(X0),multiply(X1,multiply(multiply(a3,inverse(a3)),inverse(multiply(a3,multiply(inverse(a3),X1))))))) = X0,
inference(forward_demodulation,[status(thm)],[f256,f921]) ).
fof(f1251,plain,
! [X0,X1] : X0 = multiply(multiply(a3,inverse(a3)),multiply(X1,multiply(multiply(multiply(a3,inverse(a3)),inverse(multiply(a3,multiply(inverse(a3),X1)))),X0))),
inference(paramodulation,[status(thm)],[f922,f55]) ).
fof(f1484,plain,
! [X0,X1,X2] : multiply(multiply(X0,multiply(X1,multiply(multiply(a3,inverse(a3)),inverse(multiply(X2,multiply(X0,X1)))))),X2) = multiply(a3,inverse(a3)),
inference(forward_demodulation,[status(thm)],[f256,f211]) ).
fof(f1610,plain,
! [X0,X1,X2] : X0 = multiply(multiply(a3,inverse(a3)),inverse(multiply(X1,multiply(inverse(multiply(X2,multiply(X0,multiply(multiply(a3,inverse(a3)),X1)))),X2)))),
inference(forward_demodulation,[status(thm)],[f256,f56]) ).
fof(f1642,plain,
! [X0,X1,X2] : multiply(multiply(inverse(multiply(X0,multiply(X1,multiply(multiply(a3,inverse(a3)),X2)))),multiply(X0,X1)),X2) = multiply(a3,inverse(a3)),
inference(paramodulation,[status(thm)],[f1610,f1484]) ).
fof(f1659,plain,
! [X0,X1,X2] : inverse(multiply(inverse(multiply(X0,multiply(X1,multiply(multiply(a3,inverse(a3)),X2)))),multiply(X0,X1))) = X2,
inference(paramodulation,[status(thm)],[f1610,f3]) ).
fof(f1702,plain,
! [X0,X1] : multiply(X0,multiply(multiply(multiply(a3,inverse(a3)),inverse(multiply(a3,multiply(inverse(a3),X0)))),multiply(multiply(a3,inverse(a3)),X1))) = X1,
inference(paramodulation,[status(thm)],[f922,f1659]) ).
fof(f2479,plain,
! [X0] : inverse(inverse(multiply(a3,multiply(inverse(a3),multiply(multiply(a3,inverse(a3)),inverse(multiply(a3,multiply(inverse(a3),inverse(X0))))))))) = X0,
inference(paramodulation,[status(thm)],[f1702,f922]) ).
fof(f2535,plain,
! [X0,X1] : inverse(inverse(multiply(X0,multiply(X1,multiply(multiply(a3,inverse(a3)),inverse(multiply(a3,multiply(inverse(a3),X1)))))))) = X0,
inference(paramodulation,[status(thm)],[f1702,f3]) ).
fof(f2606,plain,
! [X0] : inverse(inverse(inverse(multiply(a3,multiply(inverse(a3),multiply(multiply(a3,inverse(a3)),inverse(multiply(a3,multiply(inverse(a3),X0))))))))) = X0,
inference(paramodulation,[status(thm)],[f1702,f2535]) ).
fof(f2756,plain,
! [X0,X1,X2] : inverse(multiply(inverse(X0),multiply(multiply(multiply(a3,inverse(a3)),inverse(multiply(X1,multiply(a3,inverse(a3))))),multiply(multiply(X2,inverse(X2)),X1)))) = X0,
inference(forward_demodulation,[status(thm)],[f256,f236]) ).
fof(f2757,plain,
! [X0,X1] : inverse(multiply(inverse(X0),multiply(multiply(multiply(a3,inverse(a3)),inverse(multiply(X1,multiply(a3,inverse(a3))))),multiply(multiply(a3,inverse(a3)),X1)))) = X0,
inference(forward_demodulation,[status(thm)],[f256,f2756]) ).
fof(f2790,plain,
! [X0] : inverse(multiply(inverse(X0),multiply(inverse(inverse(a3)),multiply(multiply(a3,inverse(a3)),inverse(multiply(a3,multiply(a3,inverse(a3)))))))) = X0,
inference(paramodulation,[status(thm)],[f235,f2757]) ).
fof(f3319,plain,
! [X0,X1] : inverse(inverse(multiply(a3,multiply(inverse(a3),multiply(multiply(a3,inverse(a3)),inverse(multiply(a3,multiply(inverse(a3),inverse(multiply(a3,multiply(inverse(a3),X0))))))))))) = multiply(X1,multiply(inverse(X1),X0)),
inference(paramodulation,[status(thm)],[f876,f2535]) ).
fof(f3320,plain,
! [X0,X1] : multiply(a3,multiply(inverse(a3),X0)) = multiply(X1,multiply(inverse(X1),X0)),
inference(forward_demodulation,[status(thm)],[f2479,f3319]) ).
fof(f3413,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(X0),X1)) = multiply(X2,multiply(inverse(X2),X1)),
inference(paramodulation,[status(thm)],[f3320,f3320]) ).
fof(f3709,plain,
! [X0,X1] : multiply(multiply(a3,inverse(a3)),inverse(multiply(inverse(multiply(X0,multiply(a3,inverse(a3)))),multiply(a3,multiply(inverse(a3),X1))))) = inverse(multiply(inverse(X0),X1)),
inference(paramodulation,[status(thm)],[f3320,f235]) ).
fof(f4271,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = multiply(a3,multiply(inverse(a3),X1)),
inference(equality_split,[status(esa)],[f3413]) ).
fof(f4325,plain,
! [X0,X1] : inverse(multiply(a3,multiply(multiply(inverse(a3),X0),inverse(multiply(inverse(X1),X0))))) = inverse(multiply(X1,multiply(a3,inverse(a3)))),
inference(paramodulation,[status(thm)],[f3709,f3]) ).
fof(f4402,plain,
! [X0,X1] : inverse(multiply(a3,multiply(multiply(inverse(a3),X0),inverse(multiply(X1,X0))))) = inverse(multiply(inverse(multiply(a3,multiply(inverse(a3),multiply(multiply(a3,inverse(a3)),inverse(multiply(a3,multiply(inverse(a3),inverse(X1)))))))),multiply(a3,inverse(a3)))),
inference(paramodulation,[status(thm)],[f2479,f4325]) ).
fof(f4403,plain,
! [X0,X1] : inverse(multiply(a3,multiply(multiply(inverse(a3),X0),inverse(multiply(X1,X0))))) = inverse(multiply(a3,multiply(inverse(a3),inverse(X1)))),
inference(forward_demodulation,[status(thm)],[f1659,f4402]) ).
fof(f4717,plain,
! [X0,X1] : inverse(multiply(inverse(multiply(a3,multiply(inverse(a3),inverse(X0)))),multiply(inverse(inverse(a3)),multiply(multiply(a3,inverse(a3)),inverse(multiply(a3,multiply(a3,inverse(a3)))))))) = multiply(a3,multiply(multiply(inverse(a3),X1),inverse(multiply(X0,X1)))),
inference(paramodulation,[status(thm)],[f4403,f2790]) ).
fof(f4718,plain,
! [X0,X1] : multiply(a3,multiply(inverse(a3),inverse(X0))) = multiply(a3,multiply(multiply(inverse(a3),X1),inverse(multiply(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f2790,f4717]) ).
fof(f4850,plain,
! [X0,X1,X2] : multiply(multiply(inverse(a3),X0),inverse(multiply(X1,X0))) = multiply(multiply(a3,inverse(a3)),inverse(multiply(inverse(multiply(X2,multiply(a3,multiply(inverse(a3),inverse(X1))))),multiply(X2,a3)))),
inference(paramodulation,[status(thm)],[f4718,f55]) ).
fof(f4851,plain,
! [X0,X1] : multiply(multiply(inverse(a3),X0),inverse(multiply(X1,X0))) = multiply(inverse(a3),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f55,f4850]) ).
fof(f4904,plain,
! [X0,X1,X2] : multiply(multiply(inverse(a3),X0),inverse(multiply(a3,inverse(a3)))) = multiply(inverse(a3),inverse(multiply(inverse(multiply(X1,multiply(X2,multiply(multiply(a3,inverse(a3)),X0)))),multiply(X1,X2)))),
inference(paramodulation,[status(thm)],[f1642,f4851]) ).
fof(f4905,plain,
! [X0] : multiply(multiply(inverse(a3),X0),inverse(multiply(a3,inverse(a3)))) = multiply(inverse(a3),X0),
inference(forward_demodulation,[status(thm)],[f1659,f4904]) ).
fof(f4989,plain,
! [X0] : multiply(X0,inverse(multiply(a3,inverse(a3)))) = multiply(inverse(a3),multiply(multiply(multiply(a3,inverse(a3)),inverse(multiply(a3,multiply(inverse(a3),inverse(a3))))),multiply(multiply(a3,inverse(a3)),X0))),
inference(paramodulation,[status(thm)],[f1702,f4905]) ).
fof(f4990,plain,
! [X0] : multiply(X0,inverse(multiply(a3,inverse(a3)))) = X0,
inference(forward_demodulation,[status(thm)],[f1702,f4989]) ).
fof(f5079,plain,
! [X0] : X0 = multiply(multiply(a3,inverse(a3)),multiply(inverse(multiply(a3,inverse(a3))),multiply(multiply(multiply(a3,inverse(a3)),inverse(multiply(a3,inverse(a3)))),X0))),
inference(paramodulation,[status(thm)],[f4990,f1251]) ).
fof(f5080,plain,
! [X0] : X0 = multiply(a3,multiply(inverse(a3),multiply(multiply(multiply(a3,inverse(a3)),inverse(multiply(a3,inverse(a3)))),X0))),
inference(forward_demodulation,[status(thm)],[f4271,f5079]) ).
fof(f5081,plain,
! [X0] : X0 = multiply(a3,multiply(inverse(a3),multiply(multiply(a3,inverse(a3)),X0))),
inference(forward_demodulation,[status(thm)],[f93,f5080]) ).
fof(f5198,plain,
! [X0] : inverse(inverse(inverse(inverse(multiply(a3,multiply(inverse(a3),X0)))))) = X0,
inference(backward_demodulation,[status(thm)],[f5081,f2606]) ).
fof(f5210,plain,
inverse(multiply(a3,inverse(a3))) = multiply(a3,multiply(inverse(a3),multiply(a3,inverse(a3)))),
inference(paramodulation,[status(thm)],[f4990,f5081]) ).
fof(f5222,plain,
! [X0] : inverse(inverse(multiply(X0,multiply(a3,inverse(a3))))) = X0,
inference(paramodulation,[status(thm)],[f5081,f779]) ).
fof(f5752,plain,
inverse(inverse(inverse(inverse(inverse(multiply(a3,inverse(a3))))))) = multiply(a3,inverse(a3)),
inference(paramodulation,[status(thm)],[f5210,f5198]) ).
fof(f5759,plain,
inverse(inverse(inverse(inverse(multiply(a3,inverse(a3)))))) = inverse(multiply(a3,inverse(a3))),
inference(paramodulation,[status(thm)],[f4990,f5198]) ).
fof(f5835,plain,
inverse(inverse(multiply(a3,inverse(a3)))) = multiply(a3,inverse(a3)),
inference(backward_demodulation,[status(thm)],[f5759,f5752]) ).
fof(f5887,plain,
inverse(inverse(multiply(a3,inverse(a3)))) = inverse(multiply(a3,inverse(a3))),
inference(backward_demodulation,[status(thm)],[f5835,f5759]) ).
fof(f5888,plain,
multiply(a3,inverse(a3)) = inverse(multiply(a3,inverse(a3))),
inference(forward_demodulation,[status(thm)],[f5835,f5887]) ).
fof(f6203,plain,
! [X0] : multiply(X0,multiply(a3,inverse(a3))) = X0,
inference(backward_demodulation,[status(thm)],[f5888,f4990]) ).
fof(f6254,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[status(thm)],[f6203,f5222]) ).
fof(f6470,plain,
! [X0] : inverse(inverse(multiply(a3,multiply(inverse(a3),X0)))) = X0,
inference(backward_demodulation,[status(thm)],[f6254,f5198]) ).
fof(f6471,plain,
! [X0] : multiply(a3,multiply(inverse(a3),X0)) = X0,
inference(forward_demodulation,[status(thm)],[f6254,f6470]) ).
fof(f6536,plain,
! [X0] : X0 = multiply(multiply(a3,inverse(a3)),X0),
inference(backward_demodulation,[status(thm)],[f6471,f5081]) ).
fof(f6538,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(backward_demodulation,[status(thm)],[f6471,f4271]) ).
fof(f6647,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(paramodulation,[status(thm)],[f6254,f6538]) ).
fof(f6904,plain,
! [X0,X1] : inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(a3,inverse(a3)))))) = X1,
inference(paramodulation,[status(thm)],[f6647,f1659]) ).
fof(f6905,plain,
! [X0,X1] : inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(a3,inverse(a3))))) = X1,
inference(forward_demodulation,[status(thm)],[f5888,f6904]) ).
fof(f6906,plain,
! [X0,X1] : inverse(multiply(inverse(multiply(X0,X1)),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f6203,f6905]) ).
fof(f6914,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(multiply(X0,inverse(multiply(X1,multiply(X0,inverse(multiply(multiply(X2,multiply(X3,multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,multiply(X2,X3)))))),X5))))))) = X1,
inference(paramodulation,[status(thm)],[f6647,f5]) ).
fof(f6915,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(X0,inverse(multiply(X1,multiply(X0,inverse(multiply(multiply(X2,multiply(X3,multiply(multiply(a3,inverse(a3)),inverse(multiply(X4,multiply(X2,X3)))))),X4))))))) = X1,
inference(forward_demodulation,[status(thm)],[f256,f6914]) ).
fof(f6916,plain,
! [X0,X1] : inverse(multiply(X0,inverse(multiply(X1,multiply(X0,inverse(multiply(a3,inverse(a3)))))))) = X1,
inference(forward_demodulation,[status(thm)],[f1484,f6915]) ).
fof(f6917,plain,
! [X0,X1] : inverse(multiply(X0,inverse(multiply(X1,multiply(X0,multiply(a3,inverse(a3))))))) = X1,
inference(forward_demodulation,[status(thm)],[f5888,f6916]) ).
fof(f6918,plain,
! [X0,X1] : inverse(multiply(X0,inverse(multiply(X1,X0)))) = X1,
inference(forward_demodulation,[status(thm)],[f6203,f6917]) ).
fof(f7216,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f6538,f6906]) ).
fof(f7243,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
inference(paramodulation,[status(thm)],[f6906,f6254]) ).
fof(f7817,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(paramodulation,[status(thm)],[f7243,f6538]) ).
fof(f7890,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(paramodulation,[status(thm)],[f6254,f7817]) ).
fof(f8071,plain,
! [X0,X1] : inverse(multiply(X0,inverse(X1))) = multiply(X1,inverse(X0)),
inference(paramodulation,[status(thm)],[f7890,f6918]) ).
fof(f9633,plain,
! [X0,X1,X2,X3] : X0 = multiply(inverse(multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,multiply(inverse(X3),X1)))))),X3),
inference(paramodulation,[status(thm)],[f3,f7216]) ).
fof(f9634,plain,
! [X0,X1,X2] : X0 = multiply(inverse(multiply(X1,multiply(multiply(a3,inverse(a3)),inverse(multiply(X0,multiply(inverse(X2),X1)))))),X2),
inference(forward_demodulation,[status(thm)],[f256,f9633]) ).
fof(f9635,plain,
! [X0,X1,X2] : X0 = multiply(inverse(multiply(X1,inverse(multiply(X0,multiply(inverse(X2),X1))))),X2),
inference(forward_demodulation,[status(thm)],[f6536,f9634]) ).
fof(f9636,plain,
! [X0,X1,X2] : X0 = multiply(multiply(multiply(X0,multiply(inverse(X1),X2)),inverse(X2)),X1),
inference(forward_demodulation,[status(thm)],[f8071,f9635]) ).
fof(f10486,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(multiply(X0,multiply(inverse(inverse(X1)),X2)),inverse(X2)),
inference(paramodulation,[status(thm)],[f9636,f7890]) ).
fof(f10487,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,X2)),inverse(X2)),
inference(forward_demodulation,[status(thm)],[f6254,f10486]) ).
fof(f10895,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),inverse(inverse(X2))),
inference(paramodulation,[status(thm)],[f7817,f10487]) ).
fof(f10896,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f6254,f10895]) ).
fof(f11511,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f10896,f4]) ).
fof(f11512,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f11511]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GRP444-1 : TPTP v8.1.2. Released v2.6.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n016.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 01:04:55 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.6.0
% 12.03/1.92 % Refutation found
% 12.03/1.92 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 12.03/1.92 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 13.07/1.98 % Elapsed time: 1.651546 seconds
% 13.07/1.98 % CPU time: 12.909797 seconds
% 13.07/1.98 % Total memory used: 245.712 MB
% 13.07/1.98 % Net memory used: 240.135 MB
%------------------------------------------------------------------------------