TSTP Solution File: GRP426-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP426-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 12:11:38 EDT 2023
% Result : Unsatisfiable 15.77s 2.34s
% Output : CNFRefutation 15.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 63
% Number of leaves : 2
% Syntax : Number of formulae : 287 ( 287 unt; 0 def)
% Number of atoms : 287 ( 286 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 23 ( 4 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 : 1153 (;1153 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C)))),inverse(multiply(inverse(C),C))) = B,
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] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2))) = X1,
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] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),multiply(X1,inverse(X2)))),inverse(X2)))),inverse(multiply(inverse(X2),X2))) = X2,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f6,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),X2)))),multiply(X3,inverse(X2))),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f7,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X3),multiply(inverse(X2),X2))))),X1)),inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))) = X3,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f8,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X0)))),multiply(X2,inverse(X0)))),inverse(X0)))),inverse(X0)))),inverse(multiply(inverse(X0),X0))) = X0,
inference(paramodulation,[status(thm)],[f3,f5]) ).
fof(f12,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X0),multiply(inverse(X3),X3))))),X2)),inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))) = multiply(inverse(X3),X3),
inference(paramodulation,[status(thm)],[f3,f5]) ).
fof(f13,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X3)))),multiply(X2,inverse(X3)))),inverse(X3)))),inverse(multiply(inverse(X0),multiply(inverse(X3),X3))))),X3)),inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))) = multiply(inverse(X3),X3),
inference(paramodulation,[status(thm)],[f5,f5]) ).
fof(f14,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X1),X1)))))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))) = multiply(inverse(X2),multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X1)))),multiply(X3,inverse(X1)))),inverse(X1))),
inference(paramodulation,[status(thm)],[f5,f3]) ).
fof(f16,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),multiply(X1,inverse(X2)))),inverse(X2)))),inverse(multiply(inverse(X3),multiply(inverse(X2),X2))))),X2)),inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))) = X3,
inference(paramodulation,[status(thm)],[f5,f3]) ).
fof(f46,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X1),X1)))))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))) = multiply(inverse(X1),multiply(inverse(multiply(inverse(X2),multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X1)))),multiply(X3,inverse(X1)))),inverse(X1)))),inverse(X1))),
inference(paramodulation,[status(thm)],[f8,f3]) ).
fof(f53,plain,
! [X0,X1,X2] : X0 = multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X0),inverse(multiply(inverse(X2),X2)))),X2)))),multiply(X1,inverse(X2))),
inference(paramodulation,[status(thm)],[f3,f6]) ).
fof(f54,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),X2)))),multiply(X3,inverse(X2))),
inference(paramodulation,[status(thm)],[f6,f6]) ).
fof(f57,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X0),multiply(inverse(X3),X3))))),X2)),inverse(inverse(multiply(inverse(X4),X4)))))),inverse(multiply(inverse(inverse(multiply(inverse(X4),X4))),inverse(multiply(inverse(X4),X4))))) = multiply(inverse(multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3))),X4)))),multiply(X5,inverse(X4))),
inference(paramodulation,[status(thm)],[f7,f6]) ).
fof(f65,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(inverse(multiply(inverse(X1),X1))))),multiply(X0,inverse(inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))))) = multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X1)))),multiply(X2,inverse(X1)))),multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(inverse(multiply(inverse(X1),X1)))))),inverse(inverse(multiply(inverse(X1),X1))))),
inference(paramodulation,[status(thm)],[f6,f6]) ).
fof(f78,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))),inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))))) = multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X3),X2)))),multiply(X4,inverse(X2)))),inverse(X2)))),inverse(X2)))),inverse(multiply(inverse(X1),multiply(inverse(X2),X2))))),X2),
inference(paramodulation,[status(thm)],[f8,f6]) ).
fof(f101,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1)))),inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1)))))),X1)))),multiply(X0,inverse(X1)))),inverse(multiply(inverse(X2),multiply(inverse(X1),X1)))) = multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1)))))),
inference(paramodulation,[status(thm)],[f7,f53]) ).
fof(f123,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,inverse(X3)))))),inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X3))))) = multiply(X2,inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),X3)))),X3))),
inference(paramodulation,[status(thm)],[f53,f3]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,inverse(X3))))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),X3)))),X3)))),multiply(X2,inverse(X3)))))),multiply(X4,inverse(multiply(X2,inverse(X3))))),
inference(paramodulation,[status(thm)],[f53,f54]) ).
fof(f144,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,inverse(X3))))) = multiply(inverse(multiply(X4,inverse(X1))),multiply(X4,inverse(multiply(X2,inverse(X3))))),
inference(forward_demodulation,[status(thm)],[f53,f143]) ).
fof(f228,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X5),X6)))),multiply(X4,inverse(X6)))),inverse(multiply(inverse(X2),multiply(inverse(X6),X6))))),X5)),inverse(multiply(inverse(multiply(inverse(X6),X6)),multiply(inverse(X6),X6))))))),
inference(paramodulation,[status(thm)],[f7,f144]) ).
fof(f229,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(X2))),
inference(forward_demodulation,[status(thm)],[f7,f228]) ).
fof(f332,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(X0),multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X0)))),multiply(X2,inverse(X0)))),inverse(X0)))),inverse(X3))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(X0),X0)))),multiply(X4,inverse(X3))),
inference(paramodulation,[status(thm)],[f5,f229]) ).
fof(f335,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(X3))),X1) = multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(multiply(inverse(X2),X2)))),
inference(paramodulation,[status(thm)],[f3,f229]) ).
fof(f365,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,inverse(X2))))),multiply(X0,inverse(inverse(multiply(inverse(multiply(X1,inverse(X3))),multiply(X1,inverse(X3)))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,inverse(X3))),multiply(X1,inverse(X3))))),inverse(multiply(inverse(multiply(X1,inverse(X3))),multiply(X1,inverse(X3))))))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(multiply(X5,inverse(X2))),multiply(X5,inverse(X3)))))),multiply(X4,inverse(multiply(X1,inverse(X3))))),
inference(paramodulation,[status(thm)],[f229,f6]) ).
fof(f378,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3)))))),multiply(X0,inverse(multiply(X4,inverse(X3)))))),inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(X3))))) = multiply(X4,inverse(X2)),
inference(paramodulation,[status(thm)],[f229,f3]) ).
fof(f379,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))) = multiply(X0,inverse(X2)),
inference(forward_demodulation,[status(thm)],[f123,f378]) ).
fof(f513,plain,
! [X0,X1,X2] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(multiply(inverse(X2),X2)))),
inference(paramodulation,[status(thm)],[f3,f335]) ).
fof(f519,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))),inverse(X3))),X1) = multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(multiply(inverse(X2),X2)))),
inference(paramodulation,[status(thm)],[f6,f335]) ).
fof(f526,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),multiply(inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(inverse(multiply(inverse(X2),X2)))))),inverse(inverse(multiply(inverse(X2),X2)))))),inverse(X4))),inverse(multiply(inverse(X2),X2))) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))),
inference(paramodulation,[status(thm)],[f6,f335]) ).
fof(f576,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(multiply(inverse(X2),X2)))))) = multiply(X0,inverse(multiply(inverse(X2),X2))),
inference(paramodulation,[status(thm)],[f335,f379]) ).
fof(f577,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X1),X1)))),multiply(X4,inverse(multiply(inverse(X2),X2))))))),multiply(X3,inverse(X1))),
inference(paramodulation,[status(thm)],[f335,f53]) ).
fof(f579,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(multiply(inverse(X5),X5))))))),X1)),inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))) = multiply(inverse(multiply(inverse(multiply(X6,inverse(multiply(inverse(multiply(inverse(X2),X2)),X5)))),multiply(X6,inverse(X5)))),inverse(X4)),
inference(paramodulation,[status(thm)],[f335,f7]) ).
fof(f580,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(X4))))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(X5,inverse(multiply(inverse(multiply(X6,inverse(X4))),multiply(X6,inverse(multiply(inverse(X3),X3))))))),multiply(X5,inverse(X2))),
inference(paramodulation,[status(thm)],[f335,f6]) ).
fof(f589,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(inverse(X4),X4))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,inverse(multiply(inverse(inverse(multiply(inverse(X1),X0))),X4)))),multiply(X5,inverse(X4)))),inverse(X3))),inverse(X0)))),inverse(X0)))),inverse(X0)))),inverse(multiply(inverse(X0),X0))) = X0,
inference(paramodulation,[status(thm)],[f335,f8]) ).
fof(f595,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X2)),X4)))),multiply(X3,inverse(X4)))),inverse(X5))),inverse(X1))),multiply(inverse(multiply(X6,inverse(X5))),multiply(X6,inverse(multiply(inverse(X4),X4))))),
inference(paramodulation,[status(thm)],[f335,f229]) ).
fof(f596,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(multiply(inverse(X5),X5))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,inverse(multiply(inverse(inverse(X1)),X5)))),multiply(X6,inverse(X5)))),inverse(X4))),inverse(X2))),
inference(paramodulation,[status(thm)],[f335,f229]) ).
fof(f600,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X2)),X4)))),multiply(X3,inverse(X4)))),inverse(X5))),inverse(multiply(inverse(X1),X2)))),multiply(inverse(multiply(X6,inverse(X5))),multiply(X6,inverse(multiply(inverse(X4),X4))))),
inference(paramodulation,[status(thm)],[f335,f6]) ).
fof(f606,plain,
! [X0,X1,X2,X3,X4] : X0 = multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X4)))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(multiply(inverse(X0),inverse(multiply(inverse(X4),X4)))),multiply(inverse(X0),inverse(multiply(inverse(X4),X4))))))),X3)))),multiply(X1,inverse(multiply(inverse(X0),inverse(multiply(inverse(X4),X4)))))),
inference(paramodulation,[status(thm)],[f335,f53]) ).
fof(f607,plain,
! [X0,X1,X2,X3,X4] : X0 = multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X4)))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X3)))),multiply(X1,inverse(multiply(inverse(X0),inverse(multiply(inverse(X4),X4)))))),
inference(forward_demodulation,[status(thm)],[f576,f606]) ).
fof(f608,plain,
! [X0,X1,X2,X3] : X0 = multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(multiply(inverse(X0),inverse(multiply(inverse(X3),X3)))))),
inference(forward_demodulation,[status(thm)],[f3,f607]) ).
fof(f675,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f513,f513]) ).
fof(f727,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X3),multiply(inverse(X2),X2))))),X1)),inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X5),X5)))),multiply(X4,inverse(multiply(inverse(X5),X5)))))) = X3,
inference(paramodulation,[status(thm)],[f513,f7]) ).
fof(f728,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X3),multiply(inverse(X2),X2))))),X1)),inverse(multiply(inverse(X4),X4))) = X3,
inference(forward_demodulation,[status(thm)],[f576,f727]) ).
fof(f731,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))),multiply(X0,inverse(multiply(inverse(X1),X1))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),X2)))),multiply(X3,inverse(X2))),
inference(paramodulation,[status(thm)],[f513,f6]) ).
fof(f732,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(X3),X3)))),X3))) = multiply(X0,inverse(X3)),
inference(paramodulation,[status(thm)],[f513,f379]) ).
fof(f735,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(X0),X0)) = multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X3)))),multiply(X2,inverse(multiply(inverse(X3),X3))))),X0)))),multiply(X1,inverse(X0))),
inference(paramodulation,[status(thm)],[f513,f53]) ).
fof(f746,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X1),X1)))))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))) = multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X4),X4)))),multiply(X3,inverse(multiply(inverse(X4),X4))))))),multiply(X2,inverse(X1))),
inference(paramodulation,[status(thm)],[f513,f6]) ).
fof(f747,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X1),X1)))))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))) = multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X3)))),multiply(X2,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f576,f746]) ).
fof(f758,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X3),multiply(inverse(multiply(X4,inverse(multiply(inverse(X5),X5)))),multiply(X4,inverse(multiply(inverse(X5),X5)))))))),X1)),inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))) = X3,
inference(paramodulation,[status(thm)],[f513,f7]) ).
fof(f761,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),multiply(X1,inverse(X2)))),inverse(X2)))),inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X4),X4)))),multiply(X3,inverse(multiply(inverse(X4),X4)))))) = X2,
inference(paramodulation,[status(thm)],[f513,f5]) ).
fof(f762,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),multiply(X1,inverse(X2)))),inverse(X2)))),inverse(multiply(inverse(X3),X3))) = X2,
inference(forward_demodulation,[status(thm)],[f576,f761]) ).
fof(f765,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X4),X4)))),multiply(X3,inverse(multiply(inverse(X4),X4)))))) = X1,
inference(paramodulation,[status(thm)],[f513,f3]) ).
fof(f766,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X3),X3))) = X1,
inference(forward_demodulation,[status(thm)],[f576,f765]) ).
fof(f769,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(X0),X0)))),inverse(X1))),multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X3)))),multiply(X2,inverse(multiply(inverse(X3),X3)))))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(X1),X0)))),multiply(X4,inverse(X0))),
inference(paramodulation,[status(thm)],[f513,f6]) ).
fof(f796,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2))))),multiply(inverse(X2),X2)))) = multiply(X0,inverse(multiply(inverse(X2),X2))),
inference(paramodulation,[status(thm)],[f513,f379]) ).
fof(f831,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1)))) = multiply(inverse(X1),X1),
inference(backward_demodulation,[status(thm)],[f728,f12]) ).
fof(f841,plain,
! [X0,X1] : multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1)))) = multiply(X0,inverse(multiply(inverse(X1),X1))),
inference(backward_demodulation,[status(thm)],[f831,f796]) ).
fof(f847,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1)))),inverse(multiply(inverse(X1),X1))))),X1)))),multiply(X0,inverse(X1)))),inverse(multiply(inverse(X2),multiply(inverse(X1),X1)))) = multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1)))))),
inference(backward_demodulation,[status(thm)],[f841,f101]) ).
fof(f848,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))),inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X3),X2)))),multiply(X4,inverse(X2)))),inverse(X2)))),inverse(X2)))),inverse(multiply(inverse(X1),multiply(inverse(X2),X2))))),X2),
inference(backward_demodulation,[status(thm)],[f841,f78]) ).
fof(f894,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(multiply(inverse(X5),X5))))))),X1)),inverse(multiply(inverse(X2),X2))) = multiply(inverse(multiply(inverse(multiply(X6,inverse(multiply(inverse(multiply(inverse(X2),X2)),X5)))),multiply(X6,inverse(X5)))),inverse(X4)),
inference(backward_demodulation,[status(thm)],[f841,f579]) ).
fof(f895,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X3),multiply(inverse(multiply(X4,inverse(multiply(inverse(X5),X5)))),multiply(X4,inverse(multiply(inverse(X5),X5)))))))),X1)),inverse(multiply(inverse(X2),X2))) = X3,
inference(backward_demodulation,[status(thm)],[f841,f758]) ).
fof(f902,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),multiply(X1,inverse(X2)))),inverse(X2)))),inverse(multiply(inverse(X3),multiply(inverse(X2),X2))))),X2)),inverse(multiply(inverse(X2),X2))) = X3,
inference(backward_demodulation,[status(thm)],[f841,f16]) ).
fof(f915,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X3)))),multiply(X2,inverse(X3)))),inverse(X3)))),inverse(multiply(inverse(X0),multiply(inverse(X3),X3))))),X3)),inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(X3),X3))) = multiply(inverse(X3),X3),
inference(backward_demodulation,[status(thm)],[f841,f13]) ).
fof(f916,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),X1))) = multiply(inverse(X1),X1),
inference(forward_demodulation,[status(thm)],[f902,f915]) ).
fof(f935,plain,
! [X0,X1] : multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))) = multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),X0)))),multiply(X1,inverse(X0))),
inference(backward_demodulation,[status(thm)],[f916,f731]) ).
fof(f936,plain,
! [X0,X1] : multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),X1))) = multiply(X0,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f916,f732]) ).
fof(f950,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(inverse(inverse(X2)),inverse(X1))),multiply(inverse(X3),X3)),
inference(paramodulation,[status(thm)],[f675,f229]) ).
fof(f966,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),X2))) = multiply(X0,inverse(X2)),
inference(paramodulation,[status(thm)],[f675,f936]) ).
fof(f986,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X0),multiply(inverse(X3),X3))))),X2)),inverse(inverse(multiply(inverse(X4),X4)))))),inverse(multiply(inverse(inverse(multiply(inverse(X4),X4))),inverse(multiply(inverse(X4),X4))))) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(X4))),
inference(backward_demodulation,[status(thm)],[f966,f57]) ).
fof(f987,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X0)) = multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(X0))),
inference(backward_demodulation,[status(thm)],[f966,f735]) ).
fof(f988,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(multiply(inverse(X5),X5))))))),X1)),inverse(multiply(inverse(X2),X2))) = multiply(inverse(multiply(inverse(multiply(X6,inverse(X5))),multiply(X6,inverse(X5)))),inverse(X4)),
inference(backward_demodulation,[status(thm)],[f966,f894]) ).
fof(f989,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(multiply(inverse(X5),X5))))))),X1)),inverse(multiply(inverse(X2),X2))) = multiply(inverse(inverse(multiply(inverse(X5),X5))),inverse(X4)),
inference(forward_demodulation,[status(thm)],[f987,f988]) ).
fof(f1002,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X3),inverse(multiply(inverse(multiply(inverse(X4),X4)),multiply(inverse(X4),X4))))))),X1)),inverse(multiply(inverse(X2),X2))) = X3,
inference(backward_demodulation,[status(thm)],[f987,f895]) ).
fof(f1003,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X3),inverse(multiply(inverse(X4),X4)))))),X1)),inverse(multiply(inverse(X2),X2))) = X3,
inference(forward_demodulation,[status(thm)],[f841,f1002]) ).
fof(f1034,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(X0),X0)))),inverse(X1))),inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2))))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),X0)))),multiply(X3,inverse(X0))),
inference(backward_demodulation,[status(thm)],[f987,f769]) ).
fof(f1035,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(X0),X0)))),inverse(X1))),inverse(multiply(inverse(X2),X2)))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),X0)))),multiply(X3,inverse(X0))),
inference(forward_demodulation,[status(thm)],[f841,f1034]) ).
fof(f1046,plain,
! [X0,X1] : multiply(X0,inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1))))) = multiply(X0,inverse(multiply(inverse(X1),X1))),
inference(backward_demodulation,[status(thm)],[f987,f576]) ).
fof(f1047,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X0),multiply(inverse(X3),X3))))),X2)),inverse(inverse(multiply(inverse(X4),X4)))))),inverse(multiply(inverse(inverse(multiply(inverse(X4),X4))),inverse(multiply(inverse(X4),X4))))) = inverse(multiply(inverse(X4),X4)),
inference(backward_demodulation,[status(thm)],[f987,f986]) ).
fof(f1067,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,inverse(X2))))),multiply(X0,inverse(inverse(multiply(inverse(multiply(X1,inverse(X3))),multiply(X1,inverse(X3)))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,inverse(X3))),multiply(X1,inverse(X3))))),inverse(inverse(multiply(inverse(X3),X3)))))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(multiply(X5,inverse(X2))),multiply(X5,inverse(X3)))))),multiply(X4,inverse(multiply(X1,inverse(X3))))),
inference(backward_demodulation,[status(thm)],[f987,f365]) ).
fof(f1068,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,inverse(X2))))),multiply(X0,inverse(inverse(inverse(multiply(inverse(X3),X3))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,inverse(X3))),multiply(X1,inverse(X3))))),inverse(inverse(multiply(inverse(X3),X3)))))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(multiply(X5,inverse(X2))),multiply(X5,inverse(X3)))))),multiply(X4,inverse(multiply(X1,inverse(X3))))),
inference(forward_demodulation,[status(thm)],[f987,f1067]) ).
fof(f1069,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,inverse(X2))))),multiply(X0,inverse(inverse(inverse(multiply(inverse(X3),X3))))))),inverse(multiply(inverse(inverse(inverse(multiply(inverse(X3),X3)))),inverse(inverse(multiply(inverse(X3),X3)))))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(multiply(X5,inverse(X2))),multiply(X5,inverse(X3)))))),multiply(X4,inverse(multiply(X1,inverse(X3))))),
inference(forward_demodulation,[status(thm)],[f987,f1068]) ).
fof(f1070,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,inverse(X3)))))),inverse(inverse(multiply(inverse(X3),X3)))) = multiply(X2,inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),X3)))),X3))),
inference(backward_demodulation,[status(thm)],[f987,f123]) ).
fof(f1091,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))),inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X3),X2)))),multiply(X4,inverse(X2)))),inverse(X2)))),inverse(X2)))),inverse(multiply(inverse(X1),multiply(inverse(X2),X2))))),X2),
inference(backward_demodulation,[status(thm)],[f1046,f848]) ).
fof(f1092,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1)))),inverse(multiply(inverse(X1),X1))))),X1)))),multiply(X0,inverse(X1)))),inverse(multiply(inverse(X2),multiply(inverse(X1),X1)))) = multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(inverse(X1),X1)))),
inference(backward_demodulation,[status(thm)],[f1046,f847]) ).
fof(f1097,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3))))) = multiply(X0,inverse(multiply(inverse(inverse(X2)),inverse(X3)))),
inference(paramodulation,[status(thm)],[f229,f966]) ).
fof(f1101,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(X2)))) = multiply(X0,inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),X2)))),
inference(paramodulation,[status(thm)],[f966,f966]) ).
fof(f1102,plain,
! [X0,X1,X2] : multiply(X0,inverse(inverse(X1))) = multiply(X0,inverse(inverse(multiply(inverse(multiply(inverse(X2),X2)),X1)))),
inference(forward_demodulation,[status(thm)],[f966,f1101]) ).
fof(f1118,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(inverse(X3)),inverse(multiply(inverse(X4),X4)))))),X1)),inverse(multiply(inverse(X2),X2))) = multiply(inverse(inverse(multiply(inverse(X4),X4))),inverse(X3)),
inference(backward_demodulation,[status(thm)],[f1097,f989]) ).
fof(f1119,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(X0)),
inference(forward_demodulation,[status(thm)],[f1003,f1118]) ).
fof(f1121,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X2),X2)))))),multiply(X3,inverse(X1))),
inference(backward_demodulation,[status(thm)],[f1097,f577]) ).
fof(f1122,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(X3,inverse(inverse(multiply(inverse(X2),X2))))),multiply(X3,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f1119,f1121]) ).
fof(f1171,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(X4))))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(X5,inverse(multiply(inverse(inverse(X4)),inverse(multiply(inverse(X3),X3)))))),multiply(X5,inverse(X2))),
inference(backward_demodulation,[status(thm)],[f1097,f580]) ).
fof(f1172,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(X4))))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2)))))),inverse(inverse(multiply(inverse(X2),X2)))) = multiply(inverse(multiply(X5,inverse(multiply(inverse(inverse(X4)),inverse(multiply(inverse(X3),X3)))))),multiply(X5,inverse(X2))),
inference(forward_demodulation,[status(thm)],[f1119,f1171]) ).
fof(f1176,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,inverse(X2))))),multiply(X0,inverse(inverse(inverse(multiply(inverse(X3),X3))))))),inverse(multiply(inverse(inverse(inverse(multiply(inverse(X3),X3)))),inverse(inverse(multiply(inverse(X3),X3)))))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(inverse(X2)),inverse(X3))))),multiply(X4,inverse(multiply(X1,inverse(X3))))),
inference(backward_demodulation,[status(thm)],[f1097,f1069]) ).
fof(f1181,plain,
! [X0,X1] : multiply(X0,inverse(inverse(multiply(inverse(X1),X1)))) = multiply(X0,inverse(multiply(inverse(X1),X1))),
inference(backward_demodulation,[status(thm)],[f1102,f1046]) ).
fof(f1200,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(inverse(multiply(inverse(X1),X1))))),multiply(X0,inverse(inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))),inverse(inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))) = multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X1)))),multiply(X2,inverse(X1)))),multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(inverse(multiply(inverse(X1),X1)))))),inverse(inverse(multiply(inverse(X1),X1))))),
inference(backward_demodulation,[status(thm)],[f1119,f65]) ).
fof(f1201,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(inverse(multiply(inverse(X1),X1))))),multiply(X0,inverse(inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))) = multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X1)))),multiply(X2,inverse(X1)))),multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(inverse(multiply(inverse(X1),X1)))))),inverse(inverse(multiply(inverse(X1),X1))))),
inference(forward_demodulation,[status(thm)],[f1181,f1200]) ).
fof(f1202,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))),multiply(X0,inverse(inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))) = multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X1)))),multiply(X2,inverse(X1)))),multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(inverse(multiply(inverse(X1),X1)))))),inverse(inverse(multiply(inverse(X1),X1))))),
inference(forward_demodulation,[status(thm)],[f1181,f1201]) ).
fof(f1203,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))),multiply(X0,inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))) = multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X1)))),multiply(X2,inverse(X1)))),multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(inverse(multiply(inverse(X1),X1)))))),inverse(inverse(multiply(inverse(X1),X1))))),
inference(forward_demodulation,[status(thm)],[f1181,f1202]) ).
fof(f1204,plain,
! [X0,X1,X2,X3] : multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))) = multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X0)))),multiply(X1,inverse(X0)))),multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(inverse(multiply(inverse(X0),X0)))))),inverse(inverse(multiply(inverse(X0),X0))))),
inference(forward_demodulation,[status(thm)],[f608,f1203]) ).
fof(f1205,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))) = multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X0)))),multiply(X1,inverse(X0)))),multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(inverse(multiply(inverse(X0),X0)))))),inverse(inverse(multiply(inverse(X0),X0))))),
inference(forward_demodulation,[status(thm)],[f1119,f1204]) ).
fof(f1206,plain,
! [X0,X1,X2,X3] : inverse(inverse(multiply(inverse(X0),X0))) = multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X0)))),multiply(X1,inverse(X0)))),multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(inverse(multiply(inverse(X0),X0)))))),inverse(inverse(multiply(inverse(X0),X0))))),
inference(forward_demodulation,[status(thm)],[f1119,f1205]) ).
fof(f1207,plain,
! [X0,X1,X2,X3] : inverse(inverse(multiply(inverse(X0),X0))) = multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X0)))),multiply(X1,inverse(X0)))),multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(inverse(multiply(inverse(X0),X0)))))),inverse(multiply(inverse(X0),X0)))),
inference(forward_demodulation,[status(thm)],[f1181,f1206]) ).
fof(f1208,plain,
! [X0,X1,X2,X3] : inverse(inverse(multiply(inverse(X0),X0))) = multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X0)))),multiply(X1,inverse(X0)))),multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(inverse(X0),X0))))),inverse(multiply(inverse(X0),X0)))),
inference(forward_demodulation,[status(thm)],[f1181,f1207]) ).
fof(f1217,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(inverse(multiply(inverse(X1),X1)))),X1)))),multiply(X0,inverse(X1)))),inverse(multiply(inverse(X2),multiply(inverse(X1),X1)))) = multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(inverse(X1),X1)))),
inference(backward_demodulation,[status(thm)],[f1119,f1092]) ).
fof(f1218,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(inverse(X2),X2))))),inverse(inverse(multiply(inverse(X2),X2)))) = multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X3),X2)))),multiply(X4,inverse(X2)))),inverse(X2)))),inverse(X2)))),inverse(multiply(inverse(X1),multiply(inverse(X2),X2))))),X2),
inference(backward_demodulation,[status(thm)],[f1119,f1091]) ).
fof(f1219,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(X2),X2))) = multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X3),X2)))),multiply(X4,inverse(X2)))),inverse(X2)))),inverse(X2)))),inverse(multiply(inverse(X1),multiply(inverse(X2),X2))))),X2),
inference(forward_demodulation,[status(thm)],[f1181,f1218]) ).
fof(f1254,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X0),multiply(inverse(X3),X3))))),X2)),inverse(inverse(multiply(inverse(X4),X4)))))),inverse(inverse(multiply(inverse(X4),X4)))) = inverse(multiply(inverse(X4),X4)),
inference(backward_demodulation,[status(thm)],[f1119,f1047]) ).
fof(f1255,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X0),multiply(inverse(X3),X3))))),X2)),inverse(inverse(multiply(inverse(X4),X4)))))),inverse(multiply(inverse(X4),X4))) = inverse(multiply(inverse(X4),X4)),
inference(forward_demodulation,[status(thm)],[f1181,f1254]) ).
fof(f1256,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X0),multiply(inverse(X3),X3))))),X2)),inverse(multiply(inverse(X4),X4))))),inverse(multiply(inverse(X4),X4))) = inverse(multiply(inverse(X4),X4)),
inference(forward_demodulation,[status(thm)],[f1181,f1255]) ).
fof(f1257,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),X1))) = inverse(multiply(inverse(X1),X1)),
inference(forward_demodulation,[status(thm)],[f728,f1256]) ).
fof(f1258,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(multiply(inverse(X0),X0)),
inference(forward_demodulation,[status(thm)],[f916,f1257]) ).
fof(f1276,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(X0),X0)))),inverse(X1))),inverse(multiply(inverse(X2),X2)))),inverse(inverse(multiply(inverse(X0),X0)))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),X0)))),multiply(X3,inverse(X0))),
inference(backward_demodulation,[status(thm)],[f1119,f1035]) ).
fof(f1277,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(X0),X0)))),inverse(X1))),inverse(multiply(inverse(X2),X2)))),inverse(multiply(inverse(X0),X0))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),X0)))),multiply(X3,inverse(X0))),
inference(forward_demodulation,[status(thm)],[f1181,f1276]) ).
fof(f1278,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(X1))),inverse(multiply(inverse(X2),X2)))),inverse(multiply(inverse(X0),X0))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),X0)))),multiply(X3,inverse(X0))),
inference(forward_demodulation,[status(thm)],[f1258,f1277]) ).
fof(f1279,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(inverse(X0)),inverse(multiply(inverse(X1),X1)))),inverse(multiply(inverse(X2),X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X0),X2)))),multiply(X3,inverse(X2))),
inference(forward_demodulation,[status(thm)],[f1119,f1278]) ).
fof(f1280,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(inverse(X0)),multiply(inverse(X1),X1))),inverse(multiply(inverse(X2),X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X0),X2)))),multiply(X3,inverse(X2))),
inference(forward_demodulation,[status(thm)],[f1258,f1279]) ).
fof(f1281,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(inverse(X0)),multiply(inverse(X1),X1))),multiply(inverse(X2),X2)) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X0),X2)))),multiply(X3,inverse(X2))),
inference(forward_demodulation,[status(thm)],[f1258,f1280]) ).
fof(f1355,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X1),X1)))))),inverse(inverse(multiply(inverse(X1),X1)))) = multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X3)))),multiply(X2,inverse(X1))),
inference(backward_demodulation,[status(thm)],[f1119,f747]) ).
fof(f1356,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X1),X1)))))),inverse(multiply(inverse(X1),X1))) = multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X3)))),multiply(X2,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f1181,f1355]) ).
fof(f1357,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(inverse(X1),X1))))),inverse(multiply(inverse(X1),X1))) = multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X3)))),multiply(X2,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f1181,f1356]) ).
fof(f1358,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,multiply(inverse(X1),X1)))),inverse(multiply(inverse(X1),X1))) = multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X3)))),multiply(X2,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f1258,f1357]) ).
fof(f1359,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,multiply(inverse(X1),X1)))),multiply(inverse(X1),X1)) = multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X3)))),multiply(X2,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f1258,f1358]) ).
fof(f1360,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,multiply(inverse(X1),X1)))),multiply(inverse(X1),X1)) = multiply(inverse(multiply(X2,multiply(inverse(X3),X3))),multiply(X2,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f1258,f1359]) ).
fof(f1415,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2)))))),inverse(inverse(multiply(inverse(X2),X2)))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X2)),X4)))),multiply(X3,inverse(X4)))),inverse(X5))),inverse(multiply(inverse(X1),X2)))),multiply(inverse(multiply(X6,inverse(X5))),multiply(X6,inverse(multiply(inverse(X4),X4))))),
inference(backward_demodulation,[status(thm)],[f1119,f600]) ).
fof(f1416,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(X2),X2))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X2)),X4)))),multiply(X3,inverse(X4)))),inverse(X5))),inverse(multiply(inverse(X1),X2)))),multiply(inverse(multiply(X6,inverse(X5))),multiply(X6,inverse(multiply(inverse(X4),X4))))),
inference(forward_demodulation,[status(thm)],[f1181,f1415]) ).
fof(f1417,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(X2),X2))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X2)),X4)))),multiply(X3,inverse(X4)))),inverse(X5))),inverse(multiply(inverse(X1),X2)))),multiply(inverse(multiply(X6,inverse(X5))),multiply(X6,inverse(multiply(inverse(X4),X4))))),
inference(forward_demodulation,[status(thm)],[f1181,f1416]) ).
fof(f1418,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,multiply(inverse(X2),X2)))),inverse(multiply(inverse(X2),X2))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X2)),X4)))),multiply(X3,inverse(X4)))),inverse(X5))),inverse(multiply(inverse(X1),X2)))),multiply(inverse(multiply(X6,inverse(X5))),multiply(X6,inverse(multiply(inverse(X4),X4))))),
inference(forward_demodulation,[status(thm)],[f1258,f1417]) ).
fof(f1419,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,multiply(inverse(X2),X2)))),multiply(inverse(X2),X2)) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X2)),X4)))),multiply(X3,inverse(X4)))),inverse(X5))),inverse(multiply(inverse(X1),X2)))),multiply(inverse(multiply(X6,inverse(X5))),multiply(X6,inverse(multiply(inverse(X4),X4))))),
inference(forward_demodulation,[status(thm)],[f1258,f1418]) ).
fof(f1420,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,multiply(inverse(X2),X2)))),multiply(inverse(X2),X2)) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X2)),X4)))),multiply(X3,inverse(X4)))),inverse(X5))),inverse(multiply(inverse(X1),X2)))),multiply(inverse(multiply(X6,inverse(X5))),multiply(X6,multiply(inverse(X4),X4)))),
inference(forward_demodulation,[status(thm)],[f1258,f1419]) ).
fof(f1447,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),multiply(inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(inverse(multiply(inverse(X2),X2)))))),inverse(inverse(multiply(inverse(X2),X2)))))),inverse(X4))),inverse(multiply(inverse(X2),X2))) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(inverse(multiply(inverse(X2),X2))))),
inference(backward_demodulation,[status(thm)],[f1119,f526]) ).
fof(f1448,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),multiply(inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(X2),X2))))),inverse(X4))),inverse(multiply(inverse(X2),X2))) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(inverse(multiply(inverse(X2),X2))))),
inference(forward_demodulation,[status(thm)],[f1181,f1447]) ).
fof(f1449,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),multiply(inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(X2),X2))))),inverse(X4))),inverse(multiply(inverse(X2),X2))) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(inverse(multiply(inverse(X2),X2))))),
inference(forward_demodulation,[status(thm)],[f1181,f1448]) ).
fof(f1450,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(X0),X0)))),inverse(X1))),inverse(multiply(inverse(X0),X0))) = multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,inverse(inverse(multiply(inverse(X0),X0))))),
inference(forward_demodulation,[status(thm)],[f1208,f1449]) ).
fof(f1451,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(X1))),inverse(multiply(inverse(X0),X0))) = multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,inverse(inverse(multiply(inverse(X0),X0))))),
inference(forward_demodulation,[status(thm)],[f1258,f1450]) ).
fof(f1452,plain,
! [X0,X1,X2] : multiply(inverse(inverse(X0)),inverse(multiply(inverse(X1),X1))) = multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(inverse(multiply(inverse(X1),X1))))),
inference(forward_demodulation,[status(thm)],[f1119,f1451]) ).
fof(f1453,plain,
! [X0,X1,X2] : multiply(inverse(inverse(X0)),multiply(inverse(X1),X1)) = multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(inverse(multiply(inverse(X1),X1))))),
inference(forward_demodulation,[status(thm)],[f1258,f1452]) ).
fof(f1454,plain,
! [X0,X1,X2] : multiply(inverse(inverse(X0)),multiply(inverse(X1),X1)) = multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(multiply(inverse(X1),X1)))),
inference(forward_demodulation,[status(thm)],[f1181,f1453]) ).
fof(f1455,plain,
! [X0,X1,X2] : multiply(inverse(inverse(X0)),multiply(inverse(X1),X1)) = multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,multiply(inverse(X1),X1))),
inference(forward_demodulation,[status(thm)],[f1258,f1454]) ).
fof(f1456,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2)))))),inverse(inverse(multiply(inverse(X2),X2))))),inverse(X3))),X1) = multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(multiply(inverse(X2),X2)))),
inference(backward_demodulation,[status(thm)],[f1119,f519]) ).
fof(f1457,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(X2),X2)))),inverse(X3))),X1) = multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(multiply(inverse(X2),X2)))),
inference(forward_demodulation,[status(thm)],[f1181,f1456]) ).
fof(f1458,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(X2),X2)))),inverse(X3))),X1) = multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(multiply(inverse(X2),X2)))),
inference(forward_demodulation,[status(thm)],[f1181,f1457]) ).
fof(f1459,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,multiply(inverse(X2),X2)))),inverse(multiply(inverse(X2),X2)))),inverse(X3))),X1) = multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(multiply(inverse(X2),X2)))),
inference(forward_demodulation,[status(thm)],[f1258,f1458]) ).
fof(f1460,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(X0)),multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))),inverse(X2))),X0) = multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(inverse(X1),X1)))),
inference(forward_demodulation,[status(thm)],[f1455,f1459]) ).
fof(f1461,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(X0)),multiply(inverse(X1),X1))),multiply(inverse(X1),X1))),inverse(X2))),X0) = multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(inverse(X1),X1)))),
inference(forward_demodulation,[status(thm)],[f1258,f1460]) ).
fof(f1462,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(X0)),multiply(inverse(X1),X1))),multiply(inverse(X1),X1))),inverse(X2))),X0) = multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,multiply(inverse(X1),X1))),
inference(forward_demodulation,[status(thm)],[f1258,f1461]) ).
fof(f1463,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(X0)),multiply(inverse(X1),X1))),multiply(inverse(X1),X1))),inverse(X2))),X0) = multiply(inverse(inverse(X2)),multiply(inverse(X1),X1)),
inference(forward_demodulation,[status(thm)],[f1455,f1462]) ).
fof(f1534,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X1),X1)))))),inverse(inverse(multiply(inverse(X1),X1)))) = multiply(inverse(X1),multiply(inverse(multiply(inverse(X2),multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X1)))),multiply(X3,inverse(X1)))),inverse(X1)))),inverse(X1))),
inference(backward_demodulation,[status(thm)],[f1119,f46]) ).
fof(f1535,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X1),X1)))))),inverse(multiply(inverse(X1),X1))) = multiply(inverse(X1),multiply(inverse(multiply(inverse(X2),multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X1)))),multiply(X3,inverse(X1)))),inverse(X1)))),inverse(X1))),
inference(forward_demodulation,[status(thm)],[f1181,f1534]) ).
fof(f1536,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(inverse(X1),X1))))),inverse(multiply(inverse(X1),X1))) = multiply(inverse(X1),multiply(inverse(multiply(inverse(X2),multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X1)))),multiply(X3,inverse(X1)))),inverse(X1)))),inverse(X1))),
inference(forward_demodulation,[status(thm)],[f1181,f1535]) ).
fof(f1537,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,multiply(inverse(X1),X1)))),inverse(multiply(inverse(X1),X1))) = multiply(inverse(X1),multiply(inverse(multiply(inverse(X2),multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X1)))),multiply(X3,inverse(X1)))),inverse(X1)))),inverse(X1))),
inference(forward_demodulation,[status(thm)],[f1258,f1536]) ).
fof(f1538,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(inverse(X0)),multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))) = multiply(inverse(X0),multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X0)))),multiply(X2,inverse(X0)))),inverse(X0)))),inverse(X0))),
inference(forward_demodulation,[status(thm)],[f1455,f1537]) ).
fof(f1539,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(inverse(X0)),multiply(inverse(X0),X0))),multiply(inverse(X0),X0)) = multiply(inverse(X0),multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X0)))),multiply(X2,inverse(X0)))),inverse(X0)))),inverse(X0))),
inference(forward_demodulation,[status(thm)],[f1258,f1538]) ).
fof(f1589,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X1),X1)))))),inverse(inverse(multiply(inverse(X1),X1)))) = multiply(inverse(X2),multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X1)))),multiply(X3,inverse(X1)))),inverse(X1))),
inference(backward_demodulation,[status(thm)],[f1119,f14]) ).
fof(f1590,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X1),X1)))))),inverse(multiply(inverse(X1),X1))) = multiply(inverse(X2),multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X1)))),multiply(X3,inverse(X1)))),inverse(X1))),
inference(forward_demodulation,[status(thm)],[f1181,f1589]) ).
fof(f1591,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(inverse(X1),X1))))),inverse(multiply(inverse(X1),X1))) = multiply(inverse(X2),multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X1)))),multiply(X3,inverse(X1)))),inverse(X1))),
inference(forward_demodulation,[status(thm)],[f1181,f1590]) ).
fof(f1592,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,multiply(inverse(X1),X1)))),inverse(multiply(inverse(X1),X1))) = multiply(inverse(X2),multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X1)))),multiply(X3,inverse(X1)))),inverse(X1))),
inference(forward_demodulation,[status(thm)],[f1258,f1591]) ).
fof(f1593,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(inverse(X0)),multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))) = multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X0)))),multiply(X2,inverse(X0)))),inverse(X0))),
inference(forward_demodulation,[status(thm)],[f1455,f1592]) ).
fof(f1594,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(inverse(X0)),multiply(inverse(X0),X0))),multiply(inverse(X0),X0)) = multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X0)))),multiply(X2,inverse(X0)))),inverse(X0))),
inference(forward_demodulation,[status(thm)],[f1258,f1593]) ).
fof(f1606,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,inverse(X2))))),multiply(X0,inverse(inverse(inverse(multiply(inverse(X3),X3))))))),inverse(multiply(inverse(inverse(inverse(multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3))))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(inverse(X2)),inverse(X3))))),multiply(X4,inverse(multiply(X1,inverse(X3))))),
inference(backward_demodulation,[status(thm)],[f1181,f1176]) ).
fof(f1607,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,inverse(X2))))),multiply(X0,inverse(inverse(multiply(inverse(X3),X3)))))),inverse(multiply(inverse(inverse(inverse(multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3))))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(inverse(X2)),inverse(X3))))),multiply(X4,inverse(multiply(X1,inverse(X3))))),
inference(forward_demodulation,[status(thm)],[f1258,f1606]) ).
fof(f1608,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,inverse(X2))))),multiply(X0,inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(inverse(inverse(multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3))))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(inverse(X2)),inverse(X3))))),multiply(X4,inverse(multiply(X1,inverse(X3))))),
inference(forward_demodulation,[status(thm)],[f1181,f1607]) ).
fof(f1609,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,inverse(X2))))),multiply(X0,multiply(inverse(X3),X3)))),inverse(multiply(inverse(inverse(inverse(multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3))))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(inverse(X2)),inverse(X3))))),multiply(X4,inverse(multiply(X1,inverse(X3))))),
inference(forward_demodulation,[status(thm)],[f1258,f1608]) ).
fof(f1610,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(inverse(multiply(X0,inverse(X1)))),multiply(inverse(X2),X2))),inverse(multiply(inverse(inverse(inverse(multiply(inverse(X2),X2)))),inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X1)),inverse(X2))))),multiply(X3,inverse(multiply(X0,inverse(X2))))),
inference(forward_demodulation,[status(thm)],[f1455,f1609]) ).
fof(f1611,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(inverse(multiply(X0,inverse(X1)))),multiply(inverse(X2),X2))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X1)),inverse(X2))))),multiply(X3,inverse(multiply(X0,inverse(X2))))),
inference(forward_demodulation,[status(thm)],[f1258,f1610]) ).
fof(f1612,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(inverse(multiply(X0,inverse(X1)))),multiply(inverse(X2),X2))),multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X1)),inverse(X2))))),multiply(X3,inverse(multiply(X0,inverse(X2))))),
inference(forward_demodulation,[status(thm)],[f1258,f1611]) ).
fof(f1613,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(inverse(multiply(X0,inverse(X1)))),multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X1)),inverse(X2))))),multiply(X3,inverse(multiply(X0,inverse(X2))))),
inference(forward_demodulation,[status(thm)],[f1119,f1612]) ).
fof(f1614,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(inverse(multiply(X0,inverse(X1)))),multiply(inverse(X2),X2))),multiply(inverse(X2),X2)) = multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X1)),inverse(X2))))),multiply(X3,inverse(multiply(X0,inverse(X2))))),
inference(forward_demodulation,[status(thm)],[f1258,f1613]) ).
fof(f1677,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(X4))))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(X2),X2))) = multiply(inverse(multiply(X5,inverse(multiply(inverse(inverse(X4)),inverse(multiply(inverse(X3),X3)))))),multiply(X5,inverse(X2))),
inference(backward_demodulation,[status(thm)],[f1181,f1172]) ).
fof(f1678,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(X4))))),multiply(X0,inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(X2),X2))) = multiply(inverse(multiply(X5,inverse(multiply(inverse(inverse(X4)),inverse(multiply(inverse(X3),X3)))))),multiply(X5,inverse(X2))),
inference(forward_demodulation,[status(thm)],[f1181,f1677]) ).
fof(f1679,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(X4))))),multiply(X0,multiply(inverse(X2),X2)))),inverse(multiply(inverse(X2),X2))) = multiply(inverse(multiply(X5,inverse(multiply(inverse(inverse(X4)),inverse(multiply(inverse(X3),X3)))))),multiply(X5,inverse(X2))),
inference(forward_demodulation,[status(thm)],[f1258,f1678]) ).
fof(f1680,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(X3)))),multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(inverse(X3)),inverse(multiply(inverse(X2),X2)))))),multiply(X4,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f1455,f1679]) ).
fof(f1681,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(X3)))),multiply(inverse(X1),X1))),multiply(inverse(X1),X1)) = multiply(inverse(multiply(X4,inverse(multiply(inverse(inverse(X3)),inverse(multiply(inverse(X2),X2)))))),multiply(X4,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f1258,f1680]) ).
fof(f1682,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(X3)))),multiply(inverse(X1),X1))),multiply(inverse(X1),X1)) = multiply(inverse(multiply(X4,inverse(multiply(inverse(inverse(X3)),multiply(inverse(X2),X2))))),multiply(X4,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f1258,f1681]) ).
fof(f1693,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,inverse(X3)))))),inverse(multiply(inverse(X3),X3))) = multiply(X2,inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),X3)))),X3))),
inference(backward_demodulation,[status(thm)],[f1181,f1070]) ).
fof(f1694,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,inverse(X3)))))),multiply(inverse(X3),X3)) = multiply(X2,inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),X3)))),X3))),
inference(forward_demodulation,[status(thm)],[f1258,f1693]) ).
fof(f1695,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,inverse(X3)))))),multiply(inverse(X3),X3)) = multiply(X2,inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(X3),X3))),X3))),
inference(forward_demodulation,[status(thm)],[f1258,f1694]) ).
fof(f1762,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X2)))),multiply(X3,inverse(X1))),
inference(backward_demodulation,[status(thm)],[f1181,f1122]) ).
fof(f1763,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(X3,multiply(inverse(X2),X2))),multiply(X3,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f1258,f1762]) ).
fof(f1972,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(inverse(X2),X2))))),multiply(inverse(X2),X2)) = multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X3),X2)))),multiply(X4,inverse(X2)))),inverse(X2)))),inverse(X2)))),inverse(multiply(inverse(X1),multiply(inverse(X2),X2))))),X2),
inference(backward_demodulation,[status(thm)],[f1258,f1219]) ).
fof(f1973,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,multiply(inverse(X2),X2)))),multiply(inverse(X2),X2)) = multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X3),X2)))),multiply(X4,inverse(X2)))),inverse(X2)))),inverse(X2)))),inverse(multiply(inverse(X1),multiply(inverse(X2),X2))))),X2),
inference(forward_demodulation,[status(thm)],[f1258,f1972]) ).
fof(f1974,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(inverse(X0)),multiply(inverse(X1),X1))),multiply(inverse(X1),X1)) = multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(X2),multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X1)))),multiply(X3,inverse(X1)))),inverse(X1)))),inverse(X1)))),inverse(multiply(inverse(X0),multiply(inverse(X1),X1))))),X1),
inference(forward_demodulation,[status(thm)],[f1455,f1973]) ).
fof(f1975,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(inverse(X0)),multiply(inverse(X1),X1))),multiply(inverse(X1),X1)) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(X1)),multiply(inverse(X1),X1))),multiply(inverse(X1),X1))),inverse(multiply(inverse(X0),multiply(inverse(X1),X1))))),X1),
inference(forward_demodulation,[status(thm)],[f1539,f1974]) ).
fof(f1976,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(inverse(X0)),multiply(inverse(X1),X1))),multiply(inverse(X1),X1)) = multiply(inverse(inverse(multiply(inverse(X0),multiply(inverse(X1),X1)))),multiply(inverse(X1),X1)),
inference(forward_demodulation,[status(thm)],[f1463,f1975]) ).
fof(f1977,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(inverse(multiply(inverse(X1),X1)))),X1)))),multiply(X0,inverse(X1)))),inverse(multiply(inverse(X2),multiply(inverse(X1),X1)))) = multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,multiply(inverse(X1),X1))),
inference(backward_demodulation,[status(thm)],[f1258,f1217]) ).
fof(f1978,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),X1)))),multiply(X0,inverse(X1)))),inverse(multiply(inverse(X2),multiply(inverse(X1),X1)))) = multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,multiply(inverse(X1),X1))),
inference(forward_demodulation,[status(thm)],[f1258,f1977]) ).
fof(f1979,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))),inverse(multiply(inverse(X1),multiply(inverse(X0),X0)))) = multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,multiply(inverse(X0),X0))),
inference(forward_demodulation,[status(thm)],[f935,f1978]) ).
fof(f1980,plain,
! [X0,X1,X2] : multiply(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X1),multiply(inverse(X0),X0)))) = multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,multiply(inverse(X0),X0))),
inference(forward_demodulation,[status(thm)],[f1258,f1979]) ).
fof(f1981,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),multiply(inverse(X0),X0)))) = multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,multiply(inverse(X0),X0))),
inference(forward_demodulation,[status(thm)],[f1119,f1980]) ).
fof(f1982,plain,
! [X0,X1,X2] : multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),multiply(inverse(X0),X0)))) = multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,multiply(inverse(X0),X0))),
inference(forward_demodulation,[status(thm)],[f1258,f1981]) ).
fof(f1983,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),multiply(inverse(X0),X0)))) = multiply(inverse(inverse(X1)),multiply(inverse(X0),X0)),
inference(forward_demodulation,[status(thm)],[f1455,f1982]) ).
fof(f2033,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(X1),X1)),inverse(X0)),
inference(backward_demodulation,[status(thm)],[f1258,f1119]) ).
fof(f2034,plain,
! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X1),X1),inverse(X0)),
inference(forward_demodulation,[status(thm)],[f1258,f2033]) ).
fof(f2174,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),multiply(inverse(X3),X3)) = X1,
inference(backward_demodulation,[status(thm)],[f1258,f766]) ).
fof(f2177,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),multiply(X1,inverse(X2)))),inverse(X2)))),multiply(inverse(X3),X3)) = X2,
inference(backward_demodulation,[status(thm)],[f1258,f762]) ).
fof(f2234,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,multiply(inverse(X5),X5)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,inverse(multiply(inverse(inverse(X1)),X5)))),multiply(X6,inverse(X5)))),inverse(X4))),inverse(X2))),
inference(backward_demodulation,[status(thm)],[f1258,f596]) ).
fof(f2235,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(inverse(inverse(X3)),multiply(inverse(X4),X4))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,inverse(multiply(inverse(inverse(X1)),X4)))),multiply(X5,inverse(X4)))),inverse(X3))),inverse(X2))),
inference(forward_demodulation,[status(thm)],[f1455,f2234]) ).
fof(f2236,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X2)),X4)))),multiply(X3,inverse(X4)))),inverse(X5))),inverse(X1))),multiply(inverse(multiply(X6,inverse(X5))),multiply(X6,multiply(inverse(X4),X4)))),
inference(backward_demodulation,[status(thm)],[f1258,f595]) ).
fof(f2237,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X2)),X4)))),multiply(X3,inverse(X4)))),inverse(X5))),inverse(X1))),multiply(inverse(inverse(X5)),multiply(inverse(X4),X4))),
inference(forward_demodulation,[status(thm)],[f1455,f2236]) ).
fof(f2250,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(inverse(X4),X4))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,inverse(multiply(inverse(inverse(multiply(inverse(X1),X0))),X4)))),multiply(X5,inverse(X4)))),inverse(X3))),inverse(X0)))),inverse(X0)))),inverse(X0)))),multiply(inverse(X0),X0)) = X0,
inference(backward_demodulation,[status(thm)],[f1258,f589]) ).
fof(f2251,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,multiply(inverse(X4),X4)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,inverse(multiply(inverse(inverse(multiply(inverse(X1),X0))),X4)))),multiply(X5,inverse(X4)))),inverse(X3))),inverse(X0)))),inverse(X0)))),inverse(X0)))),multiply(inverse(X0),X0)) = X0,
inference(forward_demodulation,[status(thm)],[f1258,f2250]) ).
fof(f2252,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(inverse(inverse(X2)),multiply(inverse(X3),X3))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(inverse(multiply(inverse(X1),X0))),X3)))),multiply(X4,inverse(X3)))),inverse(X2))),inverse(X0)))),inverse(X0)))),inverse(X0)))),multiply(inverse(X0),X0)) = X0,
inference(forward_demodulation,[status(thm)],[f1455,f2251]) ).
fof(f2325,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(X0),multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X0)))),multiply(X2,inverse(X0)))),inverse(X0)))),inverse(X3))) = multiply(inverse(multiply(X4,multiply(inverse(X0),X0))),multiply(X4,inverse(X3))),
inference(backward_demodulation,[status(thm)],[f1258,f332]) ).
fof(f2344,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,multiply(inverse(X2),X2)))),multiply(inverse(X2),X2)) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X2)),X4)))),multiply(X3,inverse(X4)))),inverse(X5))),inverse(multiply(inverse(X1),X2)))),multiply(inverse(inverse(X5)),multiply(inverse(X4),X4))),
inference(backward_demodulation,[status(thm)],[f1455,f1420]) ).
fof(f2345,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(inverse(X0)),multiply(inverse(X1),X1))),multiply(inverse(X1),X1)) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(X1)),X3)))),multiply(X2,inverse(X3)))),inverse(X4))),inverse(multiply(inverse(X0),X1)))),multiply(inverse(inverse(X4)),multiply(inverse(X3),X3))),
inference(forward_demodulation,[status(thm)],[f1455,f2344]) ).
fof(f2346,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(inverse(multiply(inverse(X0),multiply(inverse(X1),X1)))),multiply(inverse(X1),X1)) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(X1)),X3)))),multiply(X2,inverse(X3)))),inverse(X4))),inverse(multiply(inverse(X0),X1)))),multiply(inverse(inverse(X4)),multiply(inverse(X3),X3))),
inference(forward_demodulation,[status(thm)],[f1976,f2345]) ).
fof(f2364,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(inverse(X0)),multiply(inverse(X0),X0))),multiply(inverse(X0),X0)) = multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,inverse(X0))),
inference(backward_demodulation,[status(thm)],[f1455,f1360]) ).
fof(f2365,plain,
! [X0,X1,X2] : multiply(inverse(inverse(multiply(inverse(X0),multiply(inverse(X0),X0)))),multiply(inverse(X0),X0)) = multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,inverse(X0))),
inference(forward_demodulation,[status(thm)],[f1976,f2364]) ).
fof(f2407,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(X3))),multiply(inverse(X1),X1)))),multiply(inverse(X1),X1)) = multiply(inverse(multiply(X4,inverse(multiply(inverse(inverse(X3)),multiply(inverse(X2),X2))))),multiply(X4,inverse(X1))),
inference(backward_demodulation,[status(thm)],[f1976,f1682]) ).
fof(f2415,plain,
! [X0,X1,X2,X3] : multiply(inverse(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(inverse(X2),X2)))),multiply(inverse(X2),X2)) = multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X1)),inverse(X2))))),multiply(X3,inverse(multiply(X0,inverse(X2))))),
inference(backward_demodulation,[status(thm)],[f1976,f1614]) ).
fof(f2425,plain,
! [X0,X1,X2] : multiply(inverse(inverse(multiply(inverse(X0),multiply(inverse(X0),X0)))),multiply(inverse(X0),X0)) = multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X0)))),multiply(X2,inverse(X0)))),inverse(X0))),
inference(backward_demodulation,[status(thm)],[f1976,f1594]) ).
fof(f2433,plain,
! [X0,X1] : inverse(multiply(inverse(X0),multiply(inverse(X1),X1))) = multiply(inverse(inverse(X0)),multiply(inverse(X1),X1)),
inference(backward_demodulation,[status(thm)],[f2034,f1983]) ).
fof(f2480,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(X3))),multiply(inverse(X1),X1))),multiply(inverse(X1),X1))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(inverse(X3)),multiply(inverse(X2),X2))))),multiply(X4,inverse(X1))),
inference(backward_demodulation,[status(thm)],[f2433,f2407]) ).
fof(f2481,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(X3))),multiply(inverse(X1),X1))),multiply(inverse(X1),X1))) = multiply(inverse(multiply(X4,inverse(inverse(multiply(inverse(X3),multiply(inverse(X2),X2)))))),multiply(X4,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f2433,f2480]) ).
fof(f2487,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(inverse(X2),X2))),multiply(inverse(X2),X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X1)),inverse(X2))))),multiply(X3,inverse(multiply(X0,inverse(X2))))),
inference(backward_demodulation,[status(thm)],[f2433,f2415]) ).
fof(f2492,plain,
! [X0,X1,X2] : inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X0),X0))),multiply(inverse(X0),X0))) = multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X0)))),multiply(X2,inverse(X0)))),inverse(X0))),
inference(backward_demodulation,[status(thm)],[f2433,f2425]) ).
fof(f2501,plain,
! [X0,X1,X2] : inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X0),X0))),multiply(inverse(X0),X0))) = multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,inverse(X0))),
inference(backward_demodulation,[status(thm)],[f2433,f2365]) ).
fof(f2503,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),X1))),multiply(inverse(X1),X1))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(X1)),X3)))),multiply(X2,inverse(X3)))),inverse(X4))),inverse(multiply(inverse(X0),X1)))),multiply(inverse(inverse(X4)),multiply(inverse(X3),X3))),
inference(backward_demodulation,[status(thm)],[f2433,f2346]) ).
fof(f2504,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),X1))),multiply(inverse(X1),X1))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(X1)),X3)))),multiply(X2,inverse(X3)))),inverse(X4))),inverse(multiply(inverse(X0),X1)))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3)))),
inference(forward_demodulation,[status(thm)],[f2433,f2503]) ).
fof(f2536,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(inverse(multiply(inverse(X2),multiply(inverse(X3),X3)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(inverse(multiply(inverse(X1),X0))),X3)))),multiply(X4,inverse(X3)))),inverse(X2))),inverse(X0)))),inverse(X0)))),inverse(X0)))),multiply(inverse(X0),X0)) = X0,
inference(backward_demodulation,[status(thm)],[f2433,f2252]) ).
fof(f2541,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X2)),X4)))),multiply(X3,inverse(X4)))),inverse(X5))),inverse(X1))),inverse(multiply(inverse(X5),multiply(inverse(X4),X4)))),
inference(backward_demodulation,[status(thm)],[f2433,f2237]) ).
fof(f2542,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(inverse(multiply(inverse(X3),multiply(inverse(X4),X4)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,inverse(multiply(inverse(inverse(X1)),X4)))),multiply(X5,inverse(X4)))),inverse(X3))),inverse(X2))),
inference(backward_demodulation,[status(thm)],[f2433,f2235]) ).
fof(f2573,plain,
! [X0,X1,X2,X3] : multiply(inverse(inverse(multiply(inverse(X0),multiply(inverse(X1),X1)))),multiply(inverse(X2),X2)) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X0),X2)))),multiply(X3,inverse(X2))),
inference(backward_demodulation,[status(thm)],[f2433,f1281]) ).
fof(f2574,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),X1))),multiply(inverse(X2),X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X0),X2)))),multiply(X3,inverse(X2))),
inference(forward_demodulation,[status(thm)],[f2433,f2573]) ).
fof(f2633,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(multiply(inverse(X3),X3),inverse(X1))),inverse(X2)),
inference(paramodulation,[status(thm)],[f2034,f229]) ).
fof(f2634,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(inverse(X1)),inverse(X2)),
inference(forward_demodulation,[status(thm)],[f2034,f2633]) ).
fof(f2648,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(X3))),multiply(inverse(X1),X1))),multiply(inverse(X1),X1))) = multiply(inverse(inverse(inverse(multiply(inverse(X3),multiply(inverse(X2),X2))))),inverse(X1)),
inference(backward_demodulation,[status(thm)],[f2634,f2481]) ).
fof(f2649,plain,
! [X0,X1,X2] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),X1))),inverse(X1))),inverse(X2))),multiply(inverse(X0),X0))),multiply(inverse(X0),X0))) = multiply(inverse(inverse(inverse(multiply(inverse(X2),multiply(inverse(X1),X1))))),inverse(X0)),
inference(forward_demodulation,[status(thm)],[f2634,f2648]) ).
fof(f2654,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(inverse(multiply(inverse(X2),multiply(inverse(X3),X3)))),multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X1),X0))),X3))),inverse(X3))),inverse(X2))),inverse(X0)))),inverse(X0)))),inverse(X0)))),multiply(inverse(X0),X0)) = X0,
inference(backward_demodulation,[status(thm)],[f2634,f2536]) ).
fof(f2656,plain,
! [X0,X1,X2] : inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(inverse(X2),X2))),multiply(inverse(X2),X2))) = multiply(inverse(inverse(multiply(inverse(inverse(X1)),inverse(X2)))),inverse(multiply(X0,inverse(X2)))),
inference(backward_demodulation,[status(thm)],[f2634,f2487]) ).
fof(f2663,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(inverse(multiply(inverse(X3),multiply(inverse(X4),X4)))),multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(inverse(X1)),X4))),inverse(X4))),inverse(X3))),inverse(X2))),
inference(backward_demodulation,[status(thm)],[f2634,f2542]) ).
fof(f2664,plain,
! [X0,X1,X2,X3] : multiply(inverse(inverse(X0)),inverse(X1)) = multiply(inverse(inverse(multiply(inverse(X2),multiply(inverse(X3),X3)))),multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(inverse(X0)),X3))),inverse(X3))),inverse(X2))),inverse(X1))),
inference(forward_demodulation,[status(thm)],[f2634,f2663]) ).
fof(f2665,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(inverse(X2)),X3))),inverse(X3))),inverse(X4))),inverse(X1))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3)))),
inference(backward_demodulation,[status(thm)],[f2634,f2541]) ).
fof(f2666,plain,
! [X0,X1,X2,X3] : multiply(inverse(inverse(X0)),inverse(X1)) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(inverse(X1)),X2))),inverse(X2))),inverse(X3))),inverse(X0))),inverse(multiply(inverse(X3),multiply(inverse(X2),X2)))),
inference(forward_demodulation,[status(thm)],[f2634,f2665]) ).
fof(f2672,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),X1))),multiply(inverse(X1),X1))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(inverse(X1)),X2))),inverse(X2))),inverse(X3))),inverse(multiply(inverse(X0),X1)))),inverse(multiply(inverse(X3),multiply(inverse(X2),X2)))),
inference(backward_demodulation,[status(thm)],[f2634,f2504]) ).
fof(f2673,plain,
! [X0,X1] : inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),X1))),multiply(inverse(X1),X1))) = multiply(inverse(inverse(multiply(inverse(X0),X1))),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f2666,f2672]) ).
fof(f2731,plain,
! [X0,X1,X2] : inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),X1))),multiply(inverse(X2),X2))) = multiply(inverse(inverse(multiply(inverse(X0),X2))),inverse(X2)),
inference(backward_demodulation,[status(thm)],[f2634,f2574]) ).
fof(f2747,plain,
! [X0,X1] : inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X0),X0))),multiply(inverse(X0),X0))) = multiply(inverse(X1),multiply(inverse(multiply(inverse(inverse(multiply(inverse(X1),X0))),inverse(X0))),inverse(X0))),
inference(backward_demodulation,[status(thm)],[f2634,f2492]) ).
fof(f2748,plain,
! [X0,X1] : multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(X0)) = multiply(inverse(X1),multiply(inverse(multiply(inverse(inverse(multiply(inverse(X1),X0))),inverse(X0))),inverse(X0))),
inference(forward_demodulation,[status(thm)],[f2731,f2747]) ).
fof(f2749,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(X0),X0)),inverse(X0)) = multiply(inverse(X1),multiply(inverse(multiply(inverse(inverse(multiply(inverse(X1),X0))),inverse(X0))),inverse(X0))),
inference(forward_demodulation,[status(thm)],[f1258,f2748]) ).
fof(f2750,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),inverse(X0)) = multiply(inverse(X1),multiply(inverse(multiply(inverse(inverse(multiply(inverse(X1),X0))),inverse(X0))),inverse(X0))),
inference(forward_demodulation,[status(thm)],[f1258,f2749]) ).
fof(f2751,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(X1),multiply(inverse(multiply(inverse(inverse(multiply(inverse(X1),X0))),inverse(X0))),inverse(X0))),
inference(forward_demodulation,[status(thm)],[f2034,f2750]) ).
fof(f2754,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(inverse(multiply(inverse(X1),X0))),inverse(X0))),inverse(X0)))),inverse(X2))) = multiply(inverse(multiply(X3,multiply(inverse(X0),X0))),multiply(X3,inverse(X2))),
inference(backward_demodulation,[status(thm)],[f2634,f2325]) ).
fof(f2755,plain,
! [X0,X1,X2] : multiply(inverse(X0),multiply(inverse(inverse(X0)),inverse(X1))) = multiply(inverse(multiply(X2,multiply(inverse(X0),X0))),multiply(X2,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f2751,f2754]) ).
fof(f2756,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),X1))),inverse(X1))),inverse(X1)))),multiply(inverse(X2),X2)) = X1,
inference(backward_demodulation,[status(thm)],[f2634,f2177]) ).
fof(f2757,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),multiply(inverse(X1),X1)) = X0,
inference(forward_demodulation,[status(thm)],[f2751,f2756]) ).
fof(f2758,plain,
! [X0,X1] : inverse(multiply(inverse(X0),multiply(inverse(X1),X1))) = X0,
inference(forward_demodulation,[status(thm)],[f2433,f2757]) ).
fof(f2759,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),X1))),inverse(X1))),multiply(inverse(X2),X2)) = X0,
inference(backward_demodulation,[status(thm)],[f2634,f2174]) ).
fof(f2760,plain,
! [X0,X1,X2] : multiply(inverse(inverse(multiply(inverse(X0),X1))),inverse(X1)) = multiply(inverse(multiply(X2,multiply(inverse(X1),X1))),multiply(X2,inverse(X0))),
inference(backward_demodulation,[status(thm)],[f2634,f1763]) ).
fof(f2761,plain,
! [X0,X1] : multiply(inverse(inverse(multiply(inverse(X0),X1))),inverse(X1)) = multiply(inverse(X1),multiply(inverse(inverse(X1)),inverse(X0))),
inference(forward_demodulation,[status(thm)],[f2755,f2760]) ).
fof(f2768,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(inverse(X0)),inverse(multiply(X1,inverse(X2))))),multiply(inverse(X2),X2)) = multiply(X1,inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X2),X2))),X2))),
inference(backward_demodulation,[status(thm)],[f2634,f1695]) ).
fof(f2769,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(inverse(X0)),inverse(multiply(X1,inverse(X2))))),multiply(inverse(X2),X2)) = multiply(X1,inverse(multiply(X0,X2))),
inference(forward_demodulation,[status(thm)],[f2758,f2768]) ).
fof(f2802,plain,
! [X0,X1,X2] : multiply(inverse(inverse(X0)),inverse(X1)) = multiply(inverse(multiply(inverse(inverse(X1)),inverse(X0))),multiply(inverse(X2),X2)),
inference(backward_demodulation,[status(thm)],[f2634,f950]) ).
fof(f2803,plain,
! [X0,X1,X2] : multiply(inverse(inverse(multiply(inverse(inverse(X0)),inverse(X1)))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X1),X2))),inverse(X2))),inverse(X1)))) = multiply(inverse(inverse(inverse(multiply(inverse(X0),multiply(inverse(X2),X2))))),inverse(X1)),
inference(backward_demodulation,[status(thm)],[f2656,f2649]) ).
fof(f2804,plain,
! [X0,X1,X2] : multiply(inverse(inverse(multiply(inverse(inverse(X0)),inverse(X1)))),inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(inverse(X2)),inverse(X1)))),inverse(X1)))) = multiply(inverse(inverse(inverse(multiply(inverse(X0),multiply(inverse(X2),X2))))),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f2761,f2803]) ).
fof(f2805,plain,
! [X0,X1,X2] : multiply(inverse(inverse(multiply(inverse(inverse(X0)),inverse(X1)))),inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(inverse(X2)),inverse(X1)))),inverse(X1)))) = multiply(inverse(inverse(X0)),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f2758,f2804]) ).
fof(f2810,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(inverse(multiply(inverse(X1),X0))),inverse(X0))),inverse(X0)))),inverse(X0)))),multiply(inverse(X0),X0)) = X0,
inference(backward_demodulation,[status(thm)],[f2664,f2654]) ).
fof(f2811,plain,
! [X0] : multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X0)),inverse(X0)))),multiply(inverse(X0),X0)) = X0,
inference(forward_demodulation,[status(thm)],[f2751,f2810]) ).
fof(f2812,plain,
! [X0] : multiply(X0,multiply(inverse(X0),X0)) = X0,
inference(forward_demodulation,[status(thm)],[f2758,f2811]) ).
fof(f2829,plain,
! [X0,X1,X2] : multiply(inverse(inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),inverse(X2)) = multiply(inverse(inverse(multiply(inverse(inverse(X1)),inverse(X2)))),inverse(multiply(X0,inverse(X2)))),
inference(backward_demodulation,[status(thm)],[f2673,f2656]) ).
fof(f2830,plain,
! [X0,X1,X2] : multiply(inverse(X0),multiply(inverse(inverse(X0)),inverse(multiply(X1,inverse(X2))))) = multiply(inverse(inverse(multiply(inverse(inverse(X2)),inverse(X0)))),inverse(multiply(X1,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f2761,f2829]) ).
fof(f2840,plain,
! [X0,X1,X2] : multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(X0)) = multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,inverse(X0))),
inference(backward_demodulation,[status(thm)],[f2673,f2501]) ).
fof(f2841,plain,
! [X0,X1,X2] : multiply(inverse(X0),multiply(inverse(inverse(X0)),inverse(X0))) = multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,inverse(X0))),
inference(forward_demodulation,[status(thm)],[f2761,f2840]) ).
fof(f2842,plain,
! [X0,X1,X2] : inverse(X0) = multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,inverse(X0))),
inference(forward_demodulation,[status(thm)],[f2812,f2841]) ).
fof(f2843,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(X1),multiply(inverse(inverse(X1)),inverse(X0))),
inference(forward_demodulation,[status(thm)],[f2755,f2842]) ).
fof(f2927,plain,
! [X0,X1,X2] : multiply(inverse(X0),multiply(inverse(X1),X1)) = multiply(inverse(inverse(multiply(inverse(X0),X2))),inverse(X2)),
inference(backward_demodulation,[status(thm)],[f2758,f2731]) ).
fof(f2928,plain,
! [X0,X1,X2] : multiply(inverse(X0),multiply(inverse(X1),X1)) = multiply(inverse(X2),multiply(inverse(inverse(X2)),inverse(X0))),
inference(forward_demodulation,[status(thm)],[f2761,f2927]) ).
fof(f2929,plain,
! [X0,X1] : multiply(inverse(X0),multiply(inverse(X1),X1)) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f2843,f2928]) ).
fof(f2965,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X0)),inverse(X1)))),multiply(inverse(X2),X2)) = X1,
inference(backward_demodulation,[status(thm)],[f2761,f2759]) ).
fof(f2966,plain,
! [X0,X1] : inverse(multiply(inverse(X0),multiply(inverse(inverse(X0)),inverse(X1)))) = X1,
inference(forward_demodulation,[status(thm)],[f2929,f2965]) ).
fof(f2967,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f2843,f2966]) ).
fof(f2997,plain,
! [X0,X1,X2] : multiply(inverse(inverse(multiply(X0,inverse(X1)))),inverse(X2)) = multiply(X0,inverse(multiply(X2,X1))),
inference(backward_demodulation,[status(thm)],[f2802,f2769]) ).
fof(f2998,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X1)),inverse(X2)) = multiply(X0,inverse(multiply(X2,X1))),
inference(forward_demodulation,[status(thm)],[f2967,f2997]) ).
fof(f2999,plain,
! [X0,X1,X2] : multiply(inverse(X0),multiply(inverse(inverse(X0)),inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(inverse(X1)),inverse(X0)))),inverse(X2))))) = multiply(inverse(inverse(X2)),inverse(X0)),
inference(backward_demodulation,[status(thm)],[f2830,f2805]) ).
fof(f3000,plain,
! [X0,X1,X2] : inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X0)),inverse(X1)))),inverse(X2))) = multiply(inverse(inverse(X2)),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f2843,f2999]) ).
fof(f3001,plain,
! [X0,X1] : inverse(multiply(inverse(inverse(X0)),inverse(X1))) = multiply(inverse(inverse(X1)),inverse(X0)),
inference(forward_demodulation,[status(thm)],[f2843,f3000]) ).
fof(f3002,plain,
! [X0,X1] : inverse(multiply(X0,inverse(X1))) = multiply(inverse(inverse(X1)),inverse(X0)),
inference(forward_demodulation,[status(thm)],[f2967,f3001]) ).
fof(f3003,plain,
! [X0,X1] : inverse(multiply(X0,inverse(X1))) = multiply(X1,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f2967,f3002]) ).
fof(f3744,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X1)),X2) = multiply(X0,inverse(multiply(inverse(X2),X1))),
inference(paramodulation,[status(thm)],[f2967,f2998]) ).
fof(f4322,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(inverse(X1))),X2) = multiply(X0,multiply(X1,inverse(inverse(X2)))),
inference(paramodulation,[status(thm)],[f3003,f3744]) ).
fof(f4323,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,inverse(inverse(X2)))),
inference(forward_demodulation,[status(thm)],[f2967,f4322]) ).
fof(f4324,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f2967,f4323]) ).
fof(f4523,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f4324,f4]) ).
fof(f4524,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f4523]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP426-1 : TPTP v8.1.2. Released v2.6.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 11:00:40 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 15.77/2.34 % Refutation found
% 15.77/2.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 15.77/2.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 15.77/2.40 % Elapsed time: 2.051530 seconds
% 15.77/2.40 % CPU time: 16.132960 seconds
% 15.77/2.40 % Memory used: 279.402 MB
%------------------------------------------------------------------------------