TSTP Solution File: GRP058-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP058-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 : Wed May 31 12:10:05 EDT 2023
% Result : Unsatisfiable 2.66s 0.68s
% Output : CNFRefutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 5
% Syntax : Number of formulae : 181 ( 166 unt; 0 def)
% Number of atoms : 199 ( 177 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 15 ~; 15 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 744 (; 744 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z,U] : multiply(X,inverse(multiply(Y,multiply(multiply(multiply(Z,inverse(Z)),inverse(multiply(U,Y))),X)))) = U,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),X0)))) = X3,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f4,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f5,plain,
( spl0_0
<=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(split_symbol_definition) ).
fof(f7,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(component_clause,[status(thm)],[f5]) ).
fof(f8,plain,
( spl0_1
<=> multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(split_symbol_definition) ).
fof(f10,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| spl0_1 ),
inference(component_clause,[status(thm)],[f8]) ).
fof(f11,plain,
( spl0_2
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(split_symbol_definition) ).
fof(f13,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(component_clause,[status(thm)],[f11]) ).
fof(f14,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f4,f5,f8,f11]) ).
fof(f15,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0))),multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,X5)))))),inverse(multiply(X5,X2))) = X4,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f16,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))),multiply(X4,inverse(X4))),multiply(X2,X0)))) = X3,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f21,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(X0,inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(X2)),multiply(X3,inverse(X3))),multiply(X4,X0)))) = inverse(multiply(X5,multiply(multiply(multiply(X6,inverse(X6)),inverse(multiply(X2,X5))),X4))),
inference(paramodulation,[status(thm)],[f3,f16]) ).
fof(f27,plain,
! [X0,X1,X2,X3] : X0 = inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X3,X0),X1))),X3))),
inference(paramodulation,[status(thm)],[f16,f21]) ).
fof(f29,plain,
! [X0,X1,X2,X3,X4,X5,X6] : X0 = inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),multiply(multiply(X4,inverse(X4)),inverse(multiply(X0,multiply(multiply(multiply(X5,inverse(X5)),inverse(X3)),multiply(X6,inverse(X6))))))))),
inference(paramodulation,[status(thm)],[f3,f21]) ).
fof(f30,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] : multiply(X0,multiply(X1,inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(X3)),multiply(X4,inverse(X4))),multiply(X0,X1))))) = inverse(multiply(X5,multiply(multiply(multiply(X6,inverse(X6)),inverse(multiply(X7,X5))),multiply(multiply(X8,inverse(X8)),inverse(multiply(X3,multiply(multiply(multiply(X9,inverse(X9)),inverse(X7)),multiply(X10,inverse(X10))))))))),
inference(paramodulation,[status(thm)],[f21,f21]) ).
fof(f31,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(X3)),multiply(X4,inverse(X4))),multiply(X0,X1))))) = X3,
inference(forward_demodulation,[status(thm)],[f29,f30]) ).
fof(f45,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : multiply(X0,inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X4))),multiply(X5,inverse(X5))))),multiply(X6,inverse(X6))),multiply(X7,X0)))) = inverse(multiply(multiply(X3,multiply(X8,inverse(X8))),multiply(X4,X7))),
inference(paramodulation,[status(thm)],[f16,f21]) ).
fof(f52,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : multiply(X0,inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(X2)),multiply(X3,inverse(X3))),multiply(X4,X0)))) = inverse(multiply(inverse(multiply(X5,multiply(multiply(multiply(X6,inverse(X6)),inverse(multiply(X7,X5))),X2))),multiply(multiply(multiply(X8,inverse(X8)),inverse(X7)),X4))),
inference(paramodulation,[status(thm)],[f3,f21]) ).
fof(f70,plain,
! [X0,X1,X2,X3,X4] : X0 = inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X3,X0)))),multiply(X4,inverse(X4))),multiply(X2,X3))),
inference(paramodulation,[status(thm)],[f3,f27]) ).
fof(f84,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(X0,inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),X2),multiply(X3,inverse(X3))),multiply(X4,X0)))) = multiply(multiply(multiply(X5,inverse(X5)),inverse(multiply(multiply(X6,X2),X4))),X6),
inference(paramodulation,[status(thm)],[f27,f16]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0))),multiply(multiply(X3,inverse(X3)),X4)))),inverse(multiply(multiply(multiply(multiply(X5,inverse(X5)),inverse(multiply(multiply(X6,X4),X7))),X6),X2))) = X7,
inference(paramodulation,[status(thm)],[f27,f15]) ).
fof(f128,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(X0,inverse(multiply(inverse(multiply(X1,X2)),multiply(multiply(multiply(X3,inverse(X3)),inverse(X4)),X0)))) = inverse(multiply(X5,multiply(multiply(multiply(X6,inverse(X6)),inverse(multiply(X2,X5))),multiply(multiply(X7,inverse(X7)),inverse(multiply(X4,X1)))))),
inference(paramodulation,[status(thm)],[f15,f3]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(X3)),multiply(X4,inverse(X4)))))),X1) = X3,
inference(paramodulation,[status(thm)],[f3,f31]) ).
fof(f137,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(X0,multiply(X1,inverse(multiply(multiply(X2,multiply(X3,inverse(X3))),multiply(X0,X1))))) = multiply(X4,multiply(multiply(multiply(X5,inverse(X5)),inverse(multiply(X2,X4))),multiply(X6,inverse(X6)))),
inference(paramodulation,[status(thm)],[f3,f31]) ).
fof(f140,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(X0,multiply(X1,inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),X3),multiply(X4,inverse(X4))),multiply(X0,X1))))) = multiply(X5,multiply(multiply(multiply(X6,inverse(X6)),inverse(multiply(multiply(X7,X3),X5))),X7)),
inference(paramodulation,[status(thm)],[f27,f31]) ).
fof(f141,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] : multiply(X0,multiply(X1,inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),multiply(X3,inverse(multiply(multiply(multiply(multiply(X4,inverse(X4)),inverse(X5)),multiply(X6,inverse(X6))),multiply(X7,X3))))),multiply(X8,inverse(X8))),multiply(X0,X1))))) = multiply(X9,multiply(multiply(multiply(X10,inverse(X10)),inverse(multiply(X5,X9))),X7)),
inference(paramodulation,[status(thm)],[f21,f31]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : multiply(inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0))),multiply(multiply(X3,inverse(X3)),X4)))),inverse(multiply(multiply(X5,X6),X2))) = multiply(multiply(multiply(X7,inverse(X7)),inverse(multiply(X5,multiply(X6,X4)))),multiply(X8,inverse(X8))),
inference(paramodulation,[status(thm)],[f70,f15]) ).
fof(f210,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(X3)),X0))),multiply(X4,inverse(X4)))) = X3,
inference(paramodulation,[status(thm)],[f16,f130]) ).
fof(f216,plain,
! [X0,X1,X2,X3] : multiply(multiply(multiply(X0,inverse(X0)),X1),X2) = multiply(multiply(multiply(X3,inverse(X3)),X1),X2),
inference(paramodulation,[status(thm)],[f27,f130]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2))),X1) = multiply(multiply(X3,inverse(X3)),multiply(multiply(multiply(X4,inverse(X4)),inverse(X2)),multiply(X5,inverse(X5)))),
inference(paramodulation,[status(thm)],[f130,f130]) ).
fof(f236,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(X2)),multiply(X3,inverse(X3))),X2))) = X0,
inference(paramodulation,[status(thm)],[f130,f3]) ).
fof(f237,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))) = multiply(multiply(X3,inverse(X3)),multiply(multiply(multiply(X4,inverse(X4)),inverse(X2)),multiply(X5,inverse(X5)))),
inference(paramodulation,[status(thm)],[f130,f31]) ).
fof(f238,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(X0,inverse(multiply(X1,multiply(X2,X0)))) = inverse(multiply(X3,multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(multiply(multiply(X5,inverse(X5)),multiply(multiply(multiply(X6,inverse(X6)),inverse(X1)),multiply(X7,inverse(X7)))),X3))),X2))),
inference(paramodulation,[status(thm)],[f130,f21]) ).
fof(f250,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(X0,inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,multiply(multiply(multiply(X3,inverse(X3)),inverse(X4)),multiply(X5,inverse(X5)))))),X6))),multiply(X7,inverse(X7))),X4))) = X6,
inference(paramodulation,[status(thm)],[f130,f16]) ).
fof(f289,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(multiply(multiply(X1,inverse(X1)),multiply(X2,inverse(X2))),multiply(X3,X0)))) = inverse(X3),
inference(paramodulation,[status(thm)],[f216,f16]) ).
fof(f292,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(X0,inverse(multiply(multiply(multiply(X1,inverse(X1)),multiply(X2,inverse(X2))),multiply(X3,X0)))) = inverse(multiply(X4,multiply(multiply(multiply(X5,inverse(X5)),inverse(multiply(multiply(X6,inverse(X6)),X4))),X3))),
inference(paramodulation,[status(thm)],[f216,f21]) ).
fof(f293,plain,
! [X0,X1,X2,X3] : inverse(X0) = inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X3,inverse(X3)),X1))),X0))),
inference(forward_demodulation,[status(thm)],[f289,f292]) ).
fof(f346,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0))),multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,multiply(multiply(X5,inverse(X5)),X6))))))),inverse(multiply(multiply(multiply(X7,inverse(X7)),X6),X2))) = X4,
inference(paramodulation,[status(thm)],[f216,f15]) ).
fof(f347,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0))),multiply(multiply(X3,inverse(X3)),inverse(multiply(multiply(multiply(X4,inverse(X4)),X5),X6)))))),inverse(multiply(X6,X2))) = multiply(multiply(X7,inverse(X7)),X5),
inference(paramodulation,[status(thm)],[f216,f15]) ).
fof(f348,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X0)),X1) = multiply(multiply(X2,inverse(X2)),X1),
inference(forward_demodulation,[status(thm)],[f15,f347]) ).
fof(f352,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : multiply(X0,inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(X2)),multiply(X3,inverse(X3))),multiply(multiply(multiply(X4,inverse(X4)),X5),X0)))) = inverse(multiply(X6,multiply(multiply(multiply(X7,inverse(X7)),inverse(multiply(X2,X6))),multiply(multiply(X8,inverse(X8)),X5)))),
inference(paramodulation,[status(thm)],[f216,f21]) ).
fof(f438,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(multiply(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(multiply(X2,X3),X0))),X2)),X3),X4) = multiply(multiply(X5,inverse(X5)),X4),
inference(paramodulation,[status(thm)],[f27,f348]) ).
fof(f455,plain,
! [X0,X1,X2] : X0 = inverse(multiply(inverse(multiply(X1,X0)),multiply(multiply(X2,inverse(X2)),X1))),
inference(paramodulation,[status(thm)],[f348,f27]) ).
fof(f516,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(multiply(X2,inverse(X2)),X0))),multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,X5)))))),inverse(multiply(X5,multiply(X6,inverse(X6))))) = X4,
inference(paramodulation,[status(thm)],[f348,f15]) ).
fof(f517,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2)))),inverse(multiply(X2,multiply(X3,inverse(X3))))) = X1,
inference(forward_demodulation,[status(thm)],[f293,f516]) ).
fof(f598,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,inverse(X0)),X1) = inverse(multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(multiply(X1,X2))))),
inference(paramodulation,[status(thm)],[f455,f455]) ).
fof(f599,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,X1) = inverse(multiply(X2,multiply(multiply(X3,inverse(X3)),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X0,multiply(X1,X2)))),multiply(X5,inverse(X5)))))),
inference(paramodulation,[status(thm)],[f70,f455]) ).
fof(f600,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(multiply(X1,X2),X3))),X1) = inverse(multiply(X2,multiply(multiply(X4,inverse(X4)),X3))),
inference(paramodulation,[status(thm)],[f27,f455]) ).
fof(f601,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2))),X3) = inverse(multiply(multiply(X4,inverse(multiply(multiply(multiply(multiply(X5,inverse(X5)),inverse(X1)),multiply(X6,inverse(X6))),multiply(X3,X4)))),multiply(multiply(X7,inverse(X7)),X2))),
inference(paramodulation,[status(thm)],[f21,f455]) ).
fof(f633,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0))),multiply(multiply(X3,inverse(X3)),X4)))),inverse(multiply(multiply(multiply(X5,inverse(X5)),X6),X2))) = inverse(multiply(X6,X4)),
inference(paramodulation,[status(thm)],[f455,f15]) ).
fof(f637,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(multiply(multiply(X1,inverse(X1)),X2),multiply(multiply(multiply(X3,inverse(X3)),X4),X0)))) = inverse(multiply(X2,X4)),
inference(paramodulation,[status(thm)],[f455,f3]) ).
fof(f661,plain,
! [X0,X1,X2] : inverse(multiply(X0,inverse(multiply(X1,multiply(multiply(X2,inverse(X2)),X0))))) = X1,
inference(backward_demodulation,[status(thm)],[f633,f346]) ).
fof(f722,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(multiply(X0,inverse(X0)),multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(X3)),multiply(X4,inverse(X4))))),multiply(X5,inverse(X5)))) = X3,
inference(paramodulation,[status(thm)],[f236,f130]) ).
fof(f727,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(multiply(multiply(X1,inverse(X1)),multiply(X2,inverse(X2))),multiply(multiply(multiply(multiply(X3,inverse(X3)),inverse(X4)),multiply(X5,inverse(X5))),X0)))) = X4,
inference(paramodulation,[status(thm)],[f236,f16]) ).
fof(f728,plain,
! [X0,X1,X2] : inverse(multiply(multiply(multiply(X0,inverse(X0)),inverse(X1)),multiply(X2,inverse(X2)))) = X1,
inference(forward_demodulation,[status(thm)],[f289,f727]) ).
fof(f744,plain,
! [X0,X1,X2,X3,X4,X5] : X0 = inverse(multiply(inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(X2)),multiply(X3,inverse(X3))),X2)),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,X0))),X5))),
inference(paramodulation,[status(thm)],[f236,f27]) ).
fof(f777,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(multiply(multiply(multiply(X0,inverse(X0)),inverse(X1)),multiply(X2,inverse(X2))),X1)),inverse(multiply(multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,X5))),multiply(X6,inverse(X6))),X4))) = X5,
inference(paramodulation,[status(thm)],[f236,f16]) ).
fof(f782,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(X0,inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),multiply(X2,X3)),multiply(X4,inverse(X4))),multiply(X5,X0)))) = inverse(multiply(multiply(X2,multiply(X6,inverse(X6))),multiply(X3,X5))),
inference(backward_demodulation,[status(thm)],[f728,f45]) ).
fof(f784,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,inverse(X0)),multiply(multiply(multiply(X1,inverse(X1)),X2),multiply(X3,inverse(X3)))) = X2,
inference(backward_demodulation,[status(thm)],[f728,f722]) ).
fof(f786,plain,
! [X0,X1,X2] : multiply(X0,X1) = inverse(multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
inference(backward_demodulation,[status(thm)],[f784,f599]) ).
fof(f789,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(X1,multiply(X2,X0)))) = inverse(multiply(X3,multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(inverse(X1),X3))),X2))),
inference(backward_demodulation,[status(thm)],[f784,f238]) ).
fof(f790,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))) = inverse(X2),
inference(backward_demodulation,[status(thm)],[f784,f237]) ).
fof(f791,plain,
! [X0,X1,X2] : multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2))),X1) = inverse(X2),
inference(backward_demodulation,[status(thm)],[f784,f219]) ).
fof(f792,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(backward_demodulation,[status(thm)],[f786,f661]) ).
fof(f847,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : inverse(multiply(multiply(multiply(X0,inverse(X0)),multiply(X1,inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(X3)),multiply(X4,inverse(X4))),multiply(X5,X1))))),multiply(X6,inverse(X6)))) = multiply(X7,multiply(multiply(multiply(X8,inverse(X8)),inverse(multiply(X3,X7))),X5)),
inference(backward_demodulation,[status(thm)],[f790,f141]) ).
fof(f848,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : inverse(multiply(multiply(X0,inverse(X0)),multiply(X1,inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(X3)),multiply(X4,inverse(X4))),multiply(X5,X1)))))) = multiply(X6,multiply(multiply(multiply(X7,inverse(X7)),inverse(multiply(X3,X6))),X5)),
inference(forward_demodulation,[status(thm)],[f792,f847]) ).
fof(f849,plain,
! [X0,X1,X2,X3,X4,X5,X6] : inverse(multiply(multiply(X0,inverse(X0)),multiply(X1,inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(X3)),multiply(X4,X1)))))) = multiply(X5,multiply(multiply(multiply(X6,inverse(X6)),inverse(multiply(X3,X5))),X4)),
inference(forward_demodulation,[status(thm)],[f792,f848]) ).
fof(f855,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(multiply(multiply(multiply(X0,inverse(X0)),X1),multiply(X2,inverse(X2)))) = multiply(X3,multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(multiply(X5,X1),X3))),X5)),
inference(backward_demodulation,[status(thm)],[f790,f140]) ).
fof(f856,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(multiply(X0,inverse(X0)),X1)) = multiply(X2,multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(multiply(X4,X1),X2))),X4)),
inference(forward_demodulation,[status(thm)],[f792,f855]) ).
fof(f861,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(X0,multiply(X1,inverse(X1)))) = multiply(X2,multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X0,X2))),multiply(X4,inverse(X4)))),
inference(backward_demodulation,[status(thm)],[f790,f137]) ).
fof(f862,plain,
! [X0,X1,X2,X3] : inverse(X0) = multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,X1))),multiply(X3,inverse(X3)))),
inference(forward_demodulation,[status(thm)],[f792,f861]) ).
fof(f863,plain,
! [X0,X1,X2] : inverse(X0) = multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f792,f862]) ).
fof(f921,plain,
! [X0,X1,X2,X3] : X0 = inverse(multiply(inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(X2)),multiply(X3,inverse(X3))),X2)),inverse(X0))),
inference(backward_demodulation,[status(thm)],[f791,f744]) ).
fof(f922,plain,
! [X0,X1,X2] : X0 = inverse(multiply(inverse(multiply(multiply(multiply(X1,inverse(X1)),inverse(X2)),X2)),inverse(X0))),
inference(forward_demodulation,[status(thm)],[f792,f921]) ).
fof(f975,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(multiply(multiply(X1,inverse(X1)),multiply(X2,X3)),multiply(X4,X0)))) = inverse(multiply(multiply(X2,multiply(X5,inverse(X5))),multiply(X3,X4))),
inference(backward_demodulation,[status(thm)],[f792,f782]) ).
fof(f976,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(multiply(multiply(X1,inverse(X1)),multiply(X2,X3)),multiply(X4,X0)))) = inverse(multiply(X2,multiply(X3,X4))),
inference(forward_demodulation,[status(thm)],[f792,f975]) ).
fof(f982,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(X0,inverse(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,multiply(multiply(multiply(X3,inverse(X3)),inverse(X4)),multiply(X5,inverse(X5)))))),X6))),X4))) = X6,
inference(backward_demodulation,[status(thm)],[f792,f250]) ).
fof(f983,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,multiply(multiply(X3,inverse(X3)),inverse(X4))))),X5))),X4))) = X5,
inference(forward_demodulation,[status(thm)],[f792,f982]) ).
fof(f985,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(X1,inverse(X1)),inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(X3)),X0)))) = X3,
inference(backward_demodulation,[status(thm)],[f792,f210]) ).
fof(f986,plain,
! [X0,X1] : inverse(multiply(multiply(X0,inverse(X0)),inverse(X1))) = X1,
inference(forward_demodulation,[status(thm)],[f863,f985]) ).
fof(f1038,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0))),multiply(multiply(X3,inverse(X3)),X4)))),inverse(multiply(multiply(X5,X6),X2))) = multiply(multiply(X7,inverse(X7)),inverse(multiply(X5,multiply(X6,X4)))),
inference(backward_demodulation,[status(thm)],[f792,f192]) ).
fof(f1044,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(multiply(multiply(multiply(X0,inverse(X0)),inverse(X1)),multiply(X2,inverse(X2))),X1)),inverse(multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,X5))),X4))) = X5,
inference(backward_demodulation,[status(thm)],[f792,f777]) ).
fof(f1045,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(multiply(multiply(X0,inverse(X0)),inverse(X1)),X1)),inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X4))),X3))) = X4,
inference(forward_demodulation,[status(thm)],[f792,f1044]) ).
fof(f1046,plain,
! [X0,X1,X2] : multiply(inverse(multiply(multiply(multiply(X0,inverse(X0)),inverse(X1)),X1)),inverse(inverse(X2))) = X2,
inference(forward_demodulation,[status(thm)],[f791,f1045]) ).
fof(f1185,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2))),X3) = inverse(multiply(multiply(X4,inverse(multiply(multiply(multiply(X5,inverse(X5)),inverse(X1)),multiply(X3,X4)))),multiply(multiply(X6,inverse(X6)),X2))),
inference(backward_demodulation,[status(thm)],[f792,f601]) ).
fof(f1196,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(X0,inverse(multiply(multiply(multiply(X1,inverse(X1)),inverse(X2)),multiply(multiply(multiply(X3,inverse(X3)),X4),X0)))) = inverse(multiply(X5,multiply(multiply(multiply(X6,inverse(X6)),inverse(multiply(X2,X5))),multiply(multiply(X7,inverse(X7)),X4)))),
inference(backward_demodulation,[status(thm)],[f792,f352]) ).
fof(f1197,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(inverse(X0),X1)) = inverse(multiply(X2,multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X0,X2))),multiply(multiply(X4,inverse(X4)),X1)))),
inference(forward_demodulation,[status(thm)],[f637,f1196]) ).
fof(f1314,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(X0,inverse(multiply(multiply(multiply(X1,inverse(X1)),inverse(X2)),multiply(X3,X0)))) = inverse(multiply(inverse(multiply(X4,multiply(multiply(multiply(X5,inverse(X5)),inverse(multiply(X6,X4))),X2))),multiply(multiply(multiply(X7,inverse(X7)),inverse(X6)),X3))),
inference(backward_demodulation,[status(thm)],[f792,f52]) ).
fof(f1350,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(multiply(multiply(X1,inverse(X1)),X2),multiply(X3,X0)))) = multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(multiply(X5,X2),X3))),X5),
inference(backward_demodulation,[status(thm)],[f792,f84]) ).
fof(f1356,plain,
! [X0,X1,X2] : multiply(inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2)))),inverse(X2)) = X1,
inference(backward_demodulation,[status(thm)],[f792,f517]) ).
fof(f1357,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[status(thm)],[f986,f1356]) ).
fof(f1366,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = inverse(inverse(X1)),
inference(backward_demodulation,[status(thm)],[f863,f598]) ).
fof(f1404,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(inverse(multiply(X1,X2)),multiply(multiply(multiply(X3,inverse(X3)),inverse(X4)),X0)))) = inverse(multiply(inverse(X2),inverse(multiply(X4,X1)))),
inference(backward_demodulation,[status(thm)],[f1197,f128]) ).
fof(f1405,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(inverse(multiply(X1,X2)),multiply(inverse(inverse(inverse(X3))),X0)))) = inverse(multiply(inverse(X2),inverse(multiply(X3,X1)))),
inference(forward_demodulation,[status(thm)],[f1366,f1404]) ).
fof(f1420,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(X0),X1)),inverse(multiply(multiply(X2,X3),X0))) = multiply(multiply(X4,inverse(X4)),inverse(multiply(X2,multiply(X3,X1)))),
inference(backward_demodulation,[status(thm)],[f1197,f1038]) ).
fof(f1421,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(X0),X1)),inverse(multiply(multiply(X2,X3),X0))) = inverse(inverse(inverse(multiply(X2,multiply(X3,X1))))),
inference(forward_demodulation,[status(thm)],[f1366,f1420]) ).
fof(f1425,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(X0),X1)),inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X3,X1),X4))),X3),X0))) = X4,
inference(backward_demodulation,[status(thm)],[f1197,f111]) ).
fof(f1426,plain,
! [X0,X1,X2,X3] : inverse(inverse(inverse(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(multiply(X1,X2),X3))),multiply(X1,X2))))) = X3,
inference(forward_demodulation,[status(thm)],[f1421,f1425]) ).
fof(f1427,plain,
! [X0] : inverse(inverse(inverse(inverse(X0)))) = X0,
inference(forward_demodulation,[status(thm)],[f791,f1426]) ).
fof(f1480,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(inverse(inverse(multiply(X0,inverse(multiply(multiply(multiply(X1,inverse(X1)),inverse(X2)),multiply(X3,X0))))))) = multiply(X4,multiply(multiply(multiply(X5,inverse(X5)),inverse(multiply(X2,X4))),X3)),
inference(backward_demodulation,[status(thm)],[f1366,f849]) ).
fof(f1481,plain,
! [X0,X1,X2,X3,X4] : inverse(inverse(multiply(multiply(multiply(X0,inverse(X0)),inverse(X1)),X2))) = multiply(X3,multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X1,X3))),X2)),
inference(forward_demodulation,[status(thm)],[f786,f1480]) ).
fof(f1482,plain,
! [X0,X1,X2,X3] : inverse(inverse(multiply(inverse(inverse(inverse(X0))),X1))) = multiply(X2,multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X0,X2))),X1)),
inference(forward_demodulation,[status(thm)],[f1366,f1481]) ).
fof(f1483,plain,
! [X0,X1,X2] : inverse(inverse(multiply(inverse(inverse(inverse(X0))),X1))) = multiply(X2,multiply(inverse(inverse(inverse(multiply(X0,X2)))),X1)),
inference(forward_demodulation,[status(thm)],[f1366,f1482]) ).
fof(f1487,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(inverse(inverse(multiply(X1,X2))),multiply(X3,X0)))) = inverse(multiply(X1,multiply(X2,X3))),
inference(backward_demodulation,[status(thm)],[f1366,f976]) ).
fof(f1497,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(X1,multiply(X2,X0)))) = inverse(multiply(X3,multiply(inverse(inverse(inverse(multiply(inverse(X1),X3)))),X2))),
inference(backward_demodulation,[status(thm)],[f1366,f789]) ).
fof(f1498,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(X1,multiply(X2,X0)))) = inverse(inverse(inverse(multiply(inverse(inverse(inverse(inverse(X1)))),X2)))),
inference(forward_demodulation,[status(thm)],[f1483,f1497]) ).
fof(f1499,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(X1,multiply(X2,X0)))) = inverse(inverse(inverse(multiply(X1,X2)))),
inference(forward_demodulation,[status(thm)],[f1427,f1498]) ).
fof(f1521,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(inverse(inverse(inverse(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X0,multiply(multiply(X2,inverse(X2)),inverse(X3))))),X4)))),X3))) = X4,
inference(backward_demodulation,[status(thm)],[f1366,f983]) ).
fof(f1522,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(inverse(inverse(inverse(multiply(inverse(inverse(inverse(multiply(X0,multiply(multiply(X1,inverse(X1)),inverse(X2)))))),X3)))),X2))) = X3,
inference(forward_demodulation,[status(thm)],[f1366,f1521]) ).
fof(f1523,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(inverse(inverse(multiply(inverse(inverse(inverse(multiply(X0,inverse(inverse(inverse(X1))))))),X2)))),X1))) = X2,
inference(forward_demodulation,[status(thm)],[f1366,f1522]) ).
fof(f1563,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(multiply(multiply(X1,inverse(X1)),X2),multiply(X3,X0)))) = multiply(inverse(inverse(inverse(multiply(multiply(X4,X2),X3)))),X4),
inference(backward_demodulation,[status(thm)],[f1366,f1350]) ).
fof(f1564,plain,
! [X0,X1,X2,X3] : inverse(inverse(inverse(multiply(multiply(multiply(X0,inverse(X0)),X1),X2)))) = multiply(inverse(inverse(inverse(multiply(multiply(X3,X1),X2)))),X3),
inference(forward_demodulation,[status(thm)],[f1499,f1563]) ).
fof(f1565,plain,
! [X0,X1,X2] : inverse(inverse(inverse(multiply(inverse(inverse(X0)),X1)))) = multiply(inverse(inverse(inverse(multiply(multiply(X2,X0),X1)))),X2),
inference(forward_demodulation,[status(thm)],[f1366,f1564]) ).
fof(f1594,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(X0,inverse(X0)),X1)) = multiply(X2,multiply(inverse(inverse(inverse(multiply(multiply(X3,X1),X2)))),X3)),
inference(backward_demodulation,[status(thm)],[f1366,f856]) ).
fof(f1595,plain,
! [X0,X1,X2] : inverse(inverse(inverse(X0))) = multiply(X1,multiply(inverse(inverse(inverse(multiply(multiply(X2,X0),X1)))),X2)),
inference(forward_demodulation,[status(thm)],[f1366,f1594]) ).
fof(f1596,plain,
! [X0,X1] : inverse(inverse(inverse(X0))) = inverse(inverse(multiply(inverse(inverse(inverse(multiply(X1,X0)))),X1))),
inference(forward_demodulation,[status(thm)],[f1483,f1595]) ).
fof(f1611,plain,
! [X0,X1,X2,X3] : multiply(inverse(inverse(inverse(multiply(multiply(X0,X1),X2)))),X0) = inverse(multiply(X1,multiply(multiply(X3,inverse(X3)),X2))),
inference(backward_demodulation,[status(thm)],[f1366,f600]) ).
fof(f1612,plain,
! [X0,X1,X2] : inverse(inverse(inverse(multiply(inverse(inverse(X0)),X1)))) = inverse(multiply(X0,multiply(multiply(X2,inverse(X2)),X1))),
inference(forward_demodulation,[status(thm)],[f1565,f1611]) ).
fof(f1613,plain,
! [X0,X1] : inverse(inverse(inverse(multiply(inverse(inverse(X0)),X1)))) = inverse(multiply(X0,inverse(inverse(X1)))),
inference(forward_demodulation,[status(thm)],[f1366,f1612]) ).
fof(f1614,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(multiply(X0,multiply(inverse(inverse(inverse(multiply(multiply(X1,X2),X0)))),X1)),X2),X3) = multiply(multiply(X4,inverse(X4)),X3),
inference(backward_demodulation,[status(thm)],[f1366,f438]) ).
fof(f1615,plain,
! [X0,X1,X2,X3] : multiply(multiply(inverse(inverse(multiply(inverse(inverse(inverse(multiply(X0,X1)))),X0))),X1),X2) = multiply(multiply(X3,inverse(X3)),X2),
inference(forward_demodulation,[status(thm)],[f1483,f1614]) ).
fof(f1616,plain,
! [X0,X1,X2] : multiply(multiply(inverse(inverse(inverse(X0))),X0),X1) = multiply(multiply(X2,inverse(X2)),X1),
inference(forward_demodulation,[status(thm)],[f1596,f1615]) ).
fof(f1617,plain,
! [X0,X1] : multiply(multiply(inverse(inverse(inverse(X0))),X0),X1) = inverse(inverse(X1)),
inference(forward_demodulation,[status(thm)],[f1366,f1616]) ).
fof(f1894,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(X0,inverse(multiply(multiply(multiply(X1,inverse(X1)),inverse(X2)),multiply(X3,X0)))) = inverse(multiply(inverse(multiply(X4,multiply(inverse(inverse(inverse(multiply(X5,X4)))),X2))),multiply(multiply(multiply(X6,inverse(X6)),inverse(X5)),X3))),
inference(backward_demodulation,[status(thm)],[f1366,f1314]) ).
fof(f1895,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(inverse(inverse(multiply(multiply(multiply(X0,inverse(X0)),inverse(X1)),X2)))) = inverse(multiply(inverse(multiply(X3,multiply(inverse(inverse(inverse(multiply(X4,X3)))),X1))),multiply(multiply(multiply(X5,inverse(X5)),inverse(X4)),X2))),
inference(forward_demodulation,[status(thm)],[f1499,f1894]) ).
fof(f1896,plain,
! [X0,X1,X2,X3,X4] : inverse(inverse(inverse(multiply(inverse(inverse(inverse(X0))),X1)))) = inverse(multiply(inverse(multiply(X2,multiply(inverse(inverse(inverse(multiply(X3,X2)))),X0))),multiply(multiply(multiply(X4,inverse(X4)),inverse(X3)),X1))),
inference(forward_demodulation,[status(thm)],[f1366,f1895]) ).
fof(f1897,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(inverse(X0),inverse(inverse(X1)))) = inverse(multiply(inverse(multiply(X2,multiply(inverse(inverse(inverse(multiply(X3,X2)))),X0))),multiply(multiply(multiply(X4,inverse(X4)),inverse(X3)),X1))),
inference(forward_demodulation,[status(thm)],[f1613,f1896]) ).
fof(f1898,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(X0),inverse(inverse(X1)))) = inverse(multiply(inverse(inverse(inverse(multiply(inverse(inverse(inverse(X2))),X0)))),multiply(multiply(multiply(X3,inverse(X3)),inverse(X2)),X1))),
inference(forward_demodulation,[status(thm)],[f1483,f1897]) ).
fof(f1899,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(X0),inverse(inverse(X1)))) = inverse(multiply(inverse(multiply(inverse(X2),inverse(inverse(X0)))),multiply(multiply(multiply(X3,inverse(X3)),inverse(X2)),X1))),
inference(forward_demodulation,[status(thm)],[f1613,f1898]) ).
fof(f1900,plain,
! [X0,X1,X2] : inverse(multiply(inverse(X0),inverse(inverse(X1)))) = inverse(multiply(inverse(multiply(inverse(X2),inverse(inverse(X0)))),multiply(inverse(inverse(inverse(X2))),X1))),
inference(forward_demodulation,[status(thm)],[f1366,f1899]) ).
fof(f2057,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(inverse(inverse(multiply(X0,X1)))),X2) = inverse(multiply(multiply(X3,inverse(multiply(multiply(multiply(X4,inverse(X4)),inverse(X0)),multiply(X2,X3)))),multiply(multiply(X5,inverse(X5)),X1))),
inference(backward_demodulation,[status(thm)],[f1366,f1185]) ).
fof(f2058,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(inverse(inverse(multiply(X0,X1)))),X2) = inverse(multiply(inverse(inverse(inverse(multiply(multiply(multiply(X3,inverse(X3)),inverse(X0)),X2)))),multiply(multiply(X4,inverse(X4)),X1))),
inference(forward_demodulation,[status(thm)],[f1499,f2057]) ).
fof(f2059,plain,
! [X0,X1,X2,X3] : multiply(inverse(inverse(inverse(multiply(X0,X1)))),X2) = inverse(multiply(inverse(inverse(inverse(multiply(inverse(inverse(inverse(X0))),X2)))),multiply(multiply(X3,inverse(X3)),X1))),
inference(forward_demodulation,[status(thm)],[f1366,f2058]) ).
fof(f2060,plain,
! [X0,X1,X2,X3] : multiply(inverse(inverse(inverse(multiply(X0,X1)))),X2) = inverse(multiply(inverse(multiply(inverse(X0),inverse(inverse(X2)))),multiply(multiply(X3,inverse(X3)),X1))),
inference(forward_demodulation,[status(thm)],[f1613,f2059]) ).
fof(f2061,plain,
! [X0,X1,X2] : multiply(inverse(inverse(inverse(multiply(X0,X1)))),X2) = inverse(multiply(inverse(multiply(inverse(X0),inverse(inverse(X2)))),inverse(inverse(X1)))),
inference(forward_demodulation,[status(thm)],[f1366,f2060]) ).
fof(f2481,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(inverse(inverse(X0))),X0)),inverse(inverse(X1))) = X1,
inference(backward_demodulation,[status(thm)],[f1366,f1046]) ).
fof(f2494,plain,
! [X0,X1] : X0 = inverse(multiply(inverse(multiply(inverse(inverse(inverse(X1))),X1)),inverse(X0))),
inference(backward_demodulation,[status(thm)],[f1366,f922]) ).
fof(f2605,plain,
! [X0,X1,X2] : inverse(inverse(inverse(multiply(inverse(inverse(multiply(X0,X1))),X2)))) = inverse(multiply(X0,multiply(X1,X2))),
inference(backward_demodulation,[status(thm)],[f1499,f1487]) ).
fof(f2606,plain,
! [X0,X1,X2] : inverse(multiply(multiply(X0,X1),inverse(inverse(X2)))) = inverse(multiply(X0,multiply(X1,X2))),
inference(forward_demodulation,[status(thm)],[f1613,f2605]) ).
fof(f2607,plain,
! [X0,X1,X2] : inverse(inverse(inverse(multiply(inverse(multiply(X0,X1)),inverse(inverse(inverse(X2))))))) = inverse(multiply(inverse(X1),inverse(multiply(X2,X0)))),
inference(backward_demodulation,[status(thm)],[f1499,f1405]) ).
fof(f2629,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(inverse(inverse(X1))))),inverse(inverse(X2)))),X1))) = X2,
inference(backward_demodulation,[status(thm)],[f1613,f1523]) ).
fof(f2697,plain,
! [X0,X1] : multiply(X0,inverse(inverse(X1))) = multiply(X0,X1),
inference(paramodulation,[status(thm)],[f1357,f1357]) ).
fof(f2699,plain,
! [X0,X1,X2] : inverse(multiply(multiply(X0,X1),X2)) = inverse(multiply(X0,multiply(X1,X2))),
inference(backward_demodulation,[status(thm)],[f2697,f2606]) ).
fof(f2709,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(inverse(inverse(X0))),X0)),X1) = X1,
inference(backward_demodulation,[status(thm)],[f2697,f2481]) ).
fof(f2710,plain,
! [X0,X1,X2] : multiply(inverse(inverse(inverse(multiply(X0,X1)))),X2) = inverse(multiply(inverse(multiply(inverse(X0),inverse(inverse(X2)))),X1)),
inference(backward_demodulation,[status(thm)],[f2697,f2061]) ).
fof(f2711,plain,
! [X0,X1,X2] : multiply(inverse(inverse(inverse(multiply(X0,X1)))),X2) = inverse(multiply(inverse(multiply(inverse(X0),X2)),X1)),
inference(forward_demodulation,[status(thm)],[f2697,f2710]) ).
fof(f2712,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(inverse(inverse(X1))))),X2)),X1))) = X2,
inference(backward_demodulation,[status(thm)],[f2697,f2629]) ).
fof(f2713,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),X2)),X1))) = X2,
inference(forward_demodulation,[status(thm)],[f2697,f2712]) ).
fof(f2715,plain,
! [X0,X1,X2] : inverse(inverse(inverse(multiply(inverse(multiply(X0,X1)),inverse(X2))))) = inverse(multiply(inverse(X1),inverse(multiply(X2,X0)))),
inference(backward_demodulation,[status(thm)],[f2697,f2607]) ).
fof(f2736,plain,
! [X0,X1,X2] : inverse(multiply(inverse(X0),inverse(inverse(X1)))) = inverse(multiply(inverse(multiply(inverse(X2),X0)),multiply(inverse(inverse(inverse(X2))),X1))),
inference(backward_demodulation,[status(thm)],[f2697,f1900]) ).
fof(f2737,plain,
! [X0,X1,X2] : inverse(multiply(inverse(X0),X1)) = inverse(multiply(inverse(multiply(inverse(X2),X0)),multiply(inverse(inverse(inverse(X2))),X1))),
inference(forward_demodulation,[status(thm)],[f2697,f2736]) ).
fof(f2774,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(backward_demodulation,[status(thm)],[f2709,f2494]) ).
fof(f2816,plain,
! [X0,X1,X2] : inverse(multiply(inverse(multiply(X0,X1)),inverse(X2))) = inverse(multiply(inverse(X1),inverse(multiply(X2,X0)))),
inference(backward_demodulation,[status(thm)],[f2774,f2715]) ).
fof(f2820,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,X1)),X2) = inverse(multiply(inverse(multiply(inverse(X0),X2)),X1)),
inference(backward_demodulation,[status(thm)],[f2774,f2711]) ).
fof(f2824,plain,
! [X0,X1,X2] : inverse(multiply(inverse(X0),X1)) = inverse(multiply(inverse(multiply(inverse(X2),X0)),multiply(inverse(X2),X1))),
inference(backward_demodulation,[status(thm)],[f2774,f2737]) ).
fof(f2825,plain,
! [X0,X1,X2] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(multiply(X2,multiply(inverse(X2),X1))),X0),
inference(forward_demodulation,[status(thm)],[f2820,f2824]) ).
fof(f2840,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = inverse(inverse(X1)),
inference(backward_demodulation,[status(thm)],[f2774,f1617]) ).
fof(f2841,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(forward_demodulation,[status(thm)],[f2774,f2840]) ).
fof(f2869,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(multiply(multiply(X0,inverse(X1)),X1)),X2)) = X2,
inference(backward_demodulation,[status(thm)],[f2820,f2713]) ).
fof(f2870,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(multiply(X0,multiply(inverse(X1),X1))),X2)) = X2,
inference(forward_demodulation,[status(thm)],[f2699,f2869]) ).
fof(f2881,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(paramodulation,[status(thm)],[f2774,f792]) ).
fof(f2883,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(backward_demodulation,[status(thm)],[f2881,f2870]) ).
fof(f2884,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(backward_demodulation,[status(thm)],[f2883,f2825]) ).
fof(f2887,plain,
! [X0,X1,X2] : multiply(inverse(inverse(X0)),multiply(X1,X2)) = inverse(multiply(inverse(X2),inverse(multiply(X0,X1)))),
inference(backward_demodulation,[status(thm)],[f2884,f2816]) ).
fof(f2888,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = inverse(multiply(inverse(X2),inverse(multiply(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f2774,f2887]) ).
fof(f2889,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(inverse(inverse(multiply(X0,X1))),X2),
inference(forward_demodulation,[status(thm)],[f2884,f2888]) ).
fof(f2890,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f2774,f2889]) ).
fof(f2930,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(backward_demodulation,[status(thm)],[f2890,f13]) ).
fof(f2931,plain,
( $false
| spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f2930]) ).
fof(f2932,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f2931]) ).
fof(f2934,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(backward_demodulation,[status(thm)],[f2890,f2841]) ).
fof(f3016,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f2881,f2934]) ).
fof(f3030,plain,
( $false
| spl0_0 ),
inference(backward_subsumption_resolution,[status(thm)],[f7,f3016]) ).
fof(f3031,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f3030]) ).
fof(f3032,plain,
( multiply(inverse(b2),multiply(b2,a2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f2890,f10]) ).
fof(f3033,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f2934,f3032]) ).
fof(f3034,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f3033]) ).
fof(f3035,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f3034]) ).
fof(f3036,plain,
$false,
inference(sat_refutation,[status(thm)],[f14,f2932,f3031,f3035]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP058-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.32 % Computer : n003.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue May 30 11:34:08 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.12/0.32 % Drodi V3.5.1
% 2.66/0.68 % Refutation found
% 2.66/0.68 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.66/0.68 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.66/0.71 % Elapsed time: 0.385505 seconds
% 2.66/0.71 % CPU time: 2.914197 seconds
% 2.66/0.71 % Memory used: 105.094 MB
%------------------------------------------------------------------------------