TSTP Solution File: GRP056-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP056-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:10:01 EDT 2023
% Result : Unsatisfiable 21.70s 3.13s
% Output : CNFRefutation 21.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 77
% Number of leaves : 5
% Syntax : Number of formulae : 368 ( 353 unt; 0 def)
% Number of atoms : 386 ( 364 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 15 ~; 15 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 22 ( 4 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 1425 (;1425 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [Z,X,Y] : multiply(inverse(multiply(inverse(multiply(Z,inverse(multiply(inverse(X),Y)))),multiply(Z,inverse(Y)))),inverse(multiply(inverse(Y),Y))) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/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(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f5,plain,
( spl0_0
<=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(split_symbol_definition) ).
fof(f7,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(component_clause,[status(thm)],[f5]) ).
fof(f8,plain,
( spl0_1
<=> multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(split_symbol_definition) ).
fof(f10,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| spl0_1 ),
inference(component_clause,[status(thm)],[f8]) ).
fof(f11,plain,
( spl0_2
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(split_symbol_definition) ).
fof(f13,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(component_clause,[status(thm)],[f11]) ).
fof(f14,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f4,f5,f8,f11]) ).
fof(f15,plain,
! [X0,X1,X2] : 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(f16,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(f17,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(f22,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,f15]) ).
fof(f56,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(multiply(X3,inverse(multiply(inverse(X4),X2)))),multiply(X3,inverse(X2)))),inverse(multiply(inverse(X1),multiply(inverse(X2),X2))))),X4),
inference(paramodulation,[status(thm)],[f17,f3]) ).
fof(f63,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,f16]) ).
fof(f64,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)],[f16,f16]) ).
fof(f67,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)],[f17,f16]) ).
fof(f68,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(inverse(multiply(inverse(X3),X3)))))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3))))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(X2),X2)),X3)))),multiply(X4,inverse(X3))),
inference(paramodulation,[status(thm)],[f3,f16]) ).
fof(f78,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),X2)))),multiply(X0,inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3))))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))))))) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))))),
inference(paramodulation,[status(thm)],[f17,f16]) ).
fof(f128,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(X2))))),multiply(X0,inverse(inverse(X2))))),inverse(X3))),X1)),inverse(multiply(inverse(multiply(inverse(inverse(X2)),inverse(X2))),multiply(inverse(inverse(X2)),inverse(X2))))) = multiply(inverse(inverse(X2)),inverse(multiply(inverse(multiply(inverse(X3),inverse(multiply(inverse(X2),X2)))),X2))),
inference(paramodulation,[status(thm)],[f63,f17]) ).
fof(f133,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)],[f63,f3]) ).
fof(f153,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)],[f63,f64]) ).
fof(f154,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)],[f63,f153]) ).
fof(f238,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)],[f17,f154]) ).
fof(f239,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)],[f17,f238]) ).
fof(f340,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),multiply(X1,inverse(X2)))),inverse(X3))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(X2),X2)))),multiply(X4,inverse(X3))),
inference(paramodulation,[status(thm)],[f3,f239]) ).
fof(f342,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)],[f15,f239]) ).
fof(f345,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,f239]) ).
fof(f363,plain,
! [X0,X1,X2,X3] : X0 = multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X0),inverse(X3))),multiply(inverse(X0),inverse(X3)))))),multiply(X2,inverse(X3)))))),multiply(X1,inverse(multiply(inverse(X0),inverse(X3))))),
inference(paramodulation,[status(thm)],[f239,f63]) ).
fof(f375,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)],[f239,f16]) ).
fof(f388,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)],[f239,f3]) ).
fof(f389,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)],[f133,f388]) ).
fof(f435,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(X5)))),inverse(multiply(inverse(X5),X5)))),X5)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(X5)))),inverse(multiply(inverse(X5),X5)))),X5))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(X5)))),inverse(multiply(inverse(X5),X5)))),X5)))) = multiply(X0,inverse(X2)),
inference(paramodulation,[status(thm)],[f389,f389]) ).
fof(f440,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))),X4)))),multiply(X0,inverse(X4)))),inverse(multiply(inverse(X5),multiply(inverse(X4),X4))))),inverse(X2))),inverse(multiply(inverse(multiply(inverse(X4),X4)),multiply(inverse(X4),X4)))) = X5,
inference(paramodulation,[status(thm)],[f389,f17]) ).
fof(f445,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4))))),multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4))))),inverse(X3)))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4)))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4),
inference(paramodulation,[status(thm)],[f389,f15]) ).
fof(f446,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4))))),multiply(X1,inverse(X3)))),inverse(X3)))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4)))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4),
inference(forward_demodulation,[status(thm)],[f389,f445]) ).
fof(f478,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4)))))),multiply(X0,inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4)))))),inverse(multiply(inverse(X5),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4))),inverse(X3)))))),X1)),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4)))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4)))))) = X5,
inference(paramodulation,[status(thm)],[f389,f17]) ).
fof(f479,plain,
! [X0,X1,X2,X3] : multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))),inverse(X1)))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2)))) = X3,
inference(forward_demodulation,[status(thm)],[f128,f478]) ).
fof(f511,plain,
! [X0,X1,X2,X3,X4] : X0 = multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X0),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4))))),multiply(X1,inverse(X3))),
inference(paramodulation,[status(thm)],[f389,f63]) ).
fof(f520,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4))))),multiply(X0,inverse(X3)))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4)))) = X1,
inference(paramodulation,[status(thm)],[f389,f3]) ).
fof(f522,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,f340]) ).
fof(f532,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X0)))),multiply(X2,inverse(X0)))),inverse(multiply(inverse(X1),multiply(inverse(X0),X0))))),X3)),inverse(multiply(inverse(X0),X0))))),inverse(X4))) = multiply(inverse(multiply(X5,inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X0),X0))))),multiply(X5,inverse(X4))),
inference(paramodulation,[status(thm)],[f17,f340]) ).
fof(f544,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X3),X1)))),multiply(X4,inverse(X1)))),inverse(X5)))))),multiply(X2,inverse(multiply(X0,inverse(X5)))))),inverse(X6))) = multiply(inverse(multiply(X7,inverse(multiply(inverse(multiply(X0,inverse(X5))),multiply(X0,inverse(X5)))))),multiply(X7,inverse(X6))),
inference(paramodulation,[status(thm)],[f340,f340]) ).
fof(f546,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(X0,inverse(X1))),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(X4)))))),multiply(X2,inverse(multiply(X0,inverse(X4)))))),inverse(X5))) = multiply(inverse(multiply(X6,inverse(multiply(inverse(multiply(X0,inverse(X4))),multiply(X0,inverse(X4)))))),multiply(X6,inverse(X5))),
inference(paramodulation,[status(thm)],[f239,f340]) ).
fof(f625,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X3),X1)))),multiply(X4,inverse(X1)))),inverse(X5)))))),multiply(X2,inverse(multiply(X0,inverse(X5)))))),inverse(multiply(X0,inverse(X5)))))),inverse(multiply(inverse(multiply(X0,inverse(X5))),multiply(X0,inverse(X5))))) = multiply(X0,inverse(X5)),
inference(paramodulation,[status(thm)],[f340,f15]) ).
fof(f637,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f522,f522]) ).
fof(f656,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X3)))))),multiply(X1,inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(X3)))))),
inference(paramodulation,[status(thm)],[f239,f522]) ).
fof(f680,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)],[f522,f17]) ).
fof(f684,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)],[f522,f389]) ).
fof(f688,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(multiply(X3,inverse(multiply(inverse(X4),X4)))),multiply(X3,inverse(multiply(inverse(X4),X4))))))),X1)),inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))) = multiply(inverse(X2),X2),
inference(paramodulation,[status(thm)],[f522,f17]) ).
fof(f705,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)],[f522,f3]) ).
fof(f734,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)],[f522,f389]) ).
fof(f758,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)],[f705,f688]) ).
fof(f759,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)],[f758,f734]) ).
fof(f760,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(X2),X2))) = X3,
inference(backward_demodulation,[status(thm)],[f759,f17]) ).
fof(f768,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),X2)))),multiply(X0,inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3))))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3))))))) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))))),
inference(backward_demodulation,[status(thm)],[f759,f78]) ).
fof(f769,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),X2)))),multiply(X0,inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3)))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3))))))) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))))),
inference(forward_demodulation,[status(thm)],[f759,f768]) ).
fof(f770,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),X2)))),multiply(X0,inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3)))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3))))))) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))))),
inference(forward_demodulation,[status(thm)],[f759,f769]) ).
fof(f773,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(multiply(X3,inverse(multiply(inverse(X4),X2)))),multiply(X3,inverse(X2)))),inverse(multiply(inverse(X1),multiply(inverse(X2),X2))))),X4),
inference(backward_demodulation,[status(thm)],[f759,f56]) ).
fof(f806,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))),X4)))),multiply(X0,inverse(X4)))),inverse(multiply(inverse(X5),multiply(inverse(X4),X4))))),inverse(X2))),inverse(multiply(inverse(X4),X4))) = X5,
inference(backward_demodulation,[status(thm)],[f759,f440]) ).
fof(f845,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(X3),X3))) = multiply(inverse(X3),X3),
inference(backward_demodulation,[status(thm)],[f759,f22]) ).
fof(f846,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),X1))) = multiply(inverse(X1),X1),
inference(forward_demodulation,[status(thm)],[f760,f845]) ).
fof(f865,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X0)))),multiply(X2,inverse(X0)))),inverse(multiply(inverse(X1),multiply(inverse(X0),X0))))),X3)),inverse(multiply(inverse(X0),X0))))),inverse(X4))) = multiply(inverse(multiply(X5,inverse(multiply(inverse(X0),X0)))),multiply(X5,inverse(X4))),
inference(backward_demodulation,[status(thm)],[f759,f532]) ).
fof(f866,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(multiply(inverse(X1),X1)),inverse(X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X0),X0)))),multiply(X3,inverse(X2))),
inference(forward_demodulation,[status(thm)],[f760,f865]) ).
fof(f874,plain,
! [X0,X1] : multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),X1))) = multiply(X0,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f846,f684]) ).
fof(f901,plain,
! [X0,X1,X2] : inverse(multiply(inverse(X0),X0)) = multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),X2)),X0)))),multiply(X1,inverse(X0))),
inference(paramodulation,[status(thm)],[f637,f63]) ).
fof(f914,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(paramodulation,[status(thm)],[f637,f3]) ).
fof(f916,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(X0),X0)))),inverse(X1))),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(paramodulation,[status(thm)],[f637,f16]) ).
fof(f919,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),multiply(X1,inverse(X2)))),inverse(X3))) = multiply(inverse(multiply(inverse(X4),X4)),multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(X3))),
inference(paramodulation,[status(thm)],[f637,f340]) ).
fof(f921,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(inverse(X3),X3)),multiply(inverse(inverse(multiply(inverse(X1),X2))),inverse(X2))),
inference(paramodulation,[status(thm)],[f637,f16]) ).
fof(f925,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),multiply(X1,inverse(X2)))),inverse(X3))) = multiply(inverse(multiply(inverse(inverse(X3)),inverse(multiply(inverse(X2),X2)))),multiply(inverse(X4),X4)),
inference(paramodulation,[status(thm)],[f637,f340]) ).
fof(f929,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)],[f637,f239]) ).
fof(f937,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(multiply(inverse(inverse(X0)),inverse(multiply(inverse(X1),X0)))),multiply(inverse(X2),X2))),inverse(multiply(inverse(X0),X0))) = X1,
inference(paramodulation,[status(thm)],[f637,f3]) ).
fof(f985,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)],[f901,f67]) ).
fof(f988,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(inverse(multiply(inverse(X3),X3)))))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3))))) = inverse(multiply(inverse(X3),X3)),
inference(backward_demodulation,[status(thm)],[f901,f68]) ).
fof(f1003,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),X2))) = multiply(X0,inverse(X2)),
inference(paramodulation,[status(thm)],[f637,f874]) ).
fof(f1023,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X0)) = multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(X0))),
inference(backward_demodulation,[status(thm)],[f1003,f901]) ).
fof(f1038,plain,
! [X0,X1,X2,X3] : X0 = multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(X2,inverse(inverse(multiply(inverse(X3),X3))))),multiply(X2,inverse(X3)))))),multiply(X1,inverse(multiply(inverse(X0),inverse(X3))))),
inference(backward_demodulation,[status(thm)],[f1023,f363]) ).
fof(f1051,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(inverse(multiply(inverse(multiply(inverse(X4),X4)),multiply(inverse(X4),X4))))) = X3,
inference(backward_demodulation,[status(thm)],[f1023,f680]) ).
fof(f1069,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X3)))))),multiply(X1,inverse(inverse(multiply(inverse(X3),X3))))),
inference(backward_demodulation,[status(thm)],[f1023,f656]) ).
fof(f1070,plain,
! [X0,X1,X2] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X1,inverse(inverse(multiply(inverse(X2),X2))))),multiply(X1,inverse(inverse(multiply(inverse(X2),X2))))),
inference(forward_demodulation,[status(thm)],[f1023,f1069]) ).
fof(f1071,plain,
! [X0,X1] : multiply(inverse(X0),X0) = inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))),
inference(forward_demodulation,[status(thm)],[f1023,f1070]) ).
fof(f1072,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X3),X1)))),multiply(X4,inverse(X1)))),inverse(X5)))))),multiply(X2,inverse(multiply(X0,inverse(X5)))))),inverse(multiply(X0,inverse(X5)))))),inverse(inverse(multiply(inverse(X5),X5)))) = multiply(X0,inverse(X5)),
inference(backward_demodulation,[status(thm)],[f1023,f625]) ).
fof(f1077,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(X0,inverse(X1))),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(X4)))))),multiply(X2,inverse(multiply(X0,inverse(X4)))))),inverse(X5))) = multiply(inverse(multiply(X6,inverse(inverse(multiply(inverse(X4),X4))))),multiply(X6,inverse(X5))),
inference(backward_demodulation,[status(thm)],[f1023,f546]) ).
fof(f1079,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X3),X1)))),multiply(X4,inverse(X1)))),inverse(X5)))))),multiply(X2,inverse(multiply(X0,inverse(X5)))))),inverse(X6))) = multiply(inverse(multiply(X7,inverse(inverse(multiply(inverse(X5),X5))))),multiply(X7,inverse(X6))),
inference(backward_demodulation,[status(thm)],[f1023,f544]) ).
fof(f1083,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)],[f1023,f375]) ).
fof(f1084,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)],[f1023,f1083]) ).
fof(f1085,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)],[f1023,f1084]) ).
fof(f1087,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)],[f1023,f133]) ).
fof(f1100,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)],[f239,f1003]) ).
fof(f1104,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)],[f1003,f1003]) ).
fof(f1105,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)],[f1003,f1104]) ).
fof(f1121,plain,
! [X0,X1,X2] : X0 = multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(inverse(multiply(inverse(X2),X2)))),inverse(X2))))),multiply(X1,inverse(multiply(inverse(X0),inverse(X2))))),
inference(backward_demodulation,[status(thm)],[f1100,f1038]) ).
fof(f1141,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)],[f1100,f1085]) ).
fof(f1144,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(X0,inverse(X1))),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(X1)),inverse(X3))))),multiply(X2,inverse(multiply(X0,inverse(X3)))))),inverse(X4))) = multiply(inverse(multiply(X5,inverse(inverse(multiply(inverse(X3),X3))))),multiply(X5,inverse(X4))),
inference(backward_demodulation,[status(thm)],[f1100,f1077]) ).
fof(f1151,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(inverse(multiply(inverse(X4),X4)))) = X3,
inference(backward_demodulation,[status(thm)],[f1105,f1051]) ).
fof(f1161,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(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(multiply(X3,inverse(multiply(inverse(X4),X2)))),multiply(X3,inverse(X2)))),inverse(multiply(inverse(X1),multiply(inverse(X2),X2))))),X4),
inference(backward_demodulation,[status(thm)],[f1105,f773]) ).
fof(f1163,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),X2)))),multiply(X0,inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3)))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3))))))) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(inverse(multiply(inverse(X3),X3))))),
inference(backward_demodulation,[status(thm)],[f1105,f770]) ).
fof(f1170,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))) = inverse(multiply(inverse(X1),X1)),
inference(backward_demodulation,[status(thm)],[f1151,f985]) ).
fof(f1171,plain,
! [X0] : multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))) = inverse(multiply(inverse(X0),X0)),
inference(forward_demodulation,[status(thm)],[f846,f1170]) ).
fof(f1220,plain,
! [X0,X1] : multiply(inverse(X0),X0) = inverse(inverse(multiply(inverse(X1),X1))),
inference(backward_demodulation,[status(thm)],[f1171,f1071]) ).
fof(f1227,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(inverse(multiply(inverse(X3),X3)))))),inverse(inverse(multiply(inverse(X3),X3)))) = inverse(multiply(inverse(X3),X3)),
inference(backward_demodulation,[status(thm)],[f1171,f988]) ).
fof(f1232,plain,
! [X0,X1,X2,X3] : 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(X3),X3)),multiply(inverse(inverse(multiply(inverse(X1),X2))),inverse(X2))),
inference(backward_demodulation,[status(thm)],[f1171,f921]) ).
fof(f1233,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(X0),X0)))),inverse(X1))),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)],[f1171,f916]) ).
fof(f1297,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X1)))),inverse(multiply(inverse(X2),multiply(inverse(X1),X1))))),multiply(inverse(X3),X3))),inverse(multiply(inverse(X1),X1))) = X2,
inference(paramodulation,[status(thm)],[f1003,f760]) ).
fof(f1298,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X1),multiply(inverse(X0),X0))))),multiply(inverse(X2),X2))),inverse(multiply(inverse(X0),X0))) = X1,
inference(forward_demodulation,[status(thm)],[f1023,f1297]) ).
fof(f1429,plain,
! [X0,X1,X2] : multiply(inverse(inverse(multiply(inverse(multiply(inverse(X0),X0)),X1))),inverse(X1)) = inverse(inverse(multiply(inverse(X2),X2))),
inference(paramodulation,[status(thm)],[f1003,f1220]) ).
fof(f1446,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(inverse(inverse(multiply(inverse(X1),X1)))),X2))) = multiply(X0,inverse(X2)),
inference(paramodulation,[status(thm)],[f1220,f1003]) ).
fof(f1451,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(inverse(inverse(multiply(inverse(X3),X3)))),multiply(inverse(inverse(X1)),inverse(X2))),
inference(paramodulation,[status(thm)],[f1220,f239]) ).
fof(f1464,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(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)],[f1446,f1141]) ).
fof(f1467,plain,
! [X0,X1,X2] : X0 = multiply(inverse(multiply(X1,inverse(inverse(X2)))),multiply(X1,inverse(multiply(inverse(X0),inverse(X2))))),
inference(backward_demodulation,[status(thm)],[f1446,f1121]) ).
fof(f1552,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),X2))),inverse(X2)))) = multiply(inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),X2))),inverse(multiply(inverse(multiply(inverse(X1),X1)),X2))),
inference(paramodulation,[status(thm)],[f1003,f846]) ).
fof(f1553,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),X2))),inverse(X2)))) = multiply(inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),X2))),inverse(X2)),
inference(forward_demodulation,[status(thm)],[f1003,f1552]) ).
fof(f1560,plain,
! [X0,X1] : multiply(X0,inverse(multiply(inverse(X1),X1))) = multiply(X0,inverse(inverse(multiply(inverse(X1),X1)))),
inference(paramodulation,[status(thm)],[f846,f1003]) ).
fof(f1567,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(inverse(X2),X2)))) = multiply(inverse(multiply(inverse(multiply(inverse(X3),X3)),inverse(X1))),multiply(inverse(X2),X2)),
inference(paramodulation,[status(thm)],[f846,f239]) ).
fof(f1583,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(X0),X0)))),inverse(X1))),multiply(inverse(X2),X2))),inverse(multiply(inverse(X0),X0))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),X0)))),multiply(X3,inverse(X0))),
inference(backward_demodulation,[status(thm)],[f1560,f1233]) ).
fof(f1630,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X3),X1)))),multiply(X4,inverse(X1)))),inverse(X5)))))),multiply(X2,inverse(multiply(X0,inverse(X5)))))),inverse(multiply(X0,inverse(X5)))))),inverse(multiply(inverse(X5),X5))) = multiply(X0,inverse(X5)),
inference(backward_demodulation,[status(thm)],[f1560,f1072]) ).
fof(f1631,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(multiply(inverse(X3),X3))))),inverse(inverse(multiply(inverse(X3),X3)))) = inverse(multiply(inverse(X3),X3)),
inference(backward_demodulation,[status(thm)],[f1560,f1227]) ).
fof(f1632,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(multiply(inverse(X3),X3))))),inverse(multiply(inverse(X3),X3))) = inverse(multiply(inverse(X3),X3)),
inference(forward_demodulation,[status(thm)],[f1560,f1631]) ).
fof(f1633,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),X1))) = inverse(multiply(inverse(X1),X1)),
inference(forward_demodulation,[status(thm)],[f914,f1632]) ).
fof(f1634,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(multiply(inverse(X0),X0)),
inference(forward_demodulation,[status(thm)],[f846,f1633]) ).
fof(f1651,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)],[f1560,f1087]) ).
fof(f1652,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)],[f1634,f1651]) ).
fof(f1653,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)],[f1634,f1652]) ).
fof(f1736,plain,
! [X0,X1,X2,X3] : 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(X3),X3)),multiply(inverse(inverse(multiply(inverse(X1),X2))),inverse(X2))),
inference(backward_demodulation,[status(thm)],[f1560,f1232]) ).
fof(f1737,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(X2),X2))) = multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(inverse(multiply(inverse(X1),X2))),inverse(X2))),
inference(forward_demodulation,[status(thm)],[f1560,f1736]) ).
fof(f1738,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,multiply(inverse(X2),X2)))),inverse(multiply(inverse(X2),X2))) = multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(inverse(multiply(inverse(X1),X2))),inverse(X2))),
inference(forward_demodulation,[status(thm)],[f1634,f1737]) ).
fof(f1739,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,multiply(inverse(X2),X2)))),multiply(inverse(X2),X2)) = multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(inverse(multiply(inverse(X1),X2))),inverse(X2))),
inference(forward_demodulation,[status(thm)],[f1634,f1738]) ).
fof(f1740,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,multiply(inverse(X2),X2)))),multiply(inverse(X2),X2)) = multiply(multiply(inverse(X3),X3),multiply(inverse(inverse(multiply(inverse(X1),X2))),inverse(X2))),
inference(forward_demodulation,[status(thm)],[f1634,f1739]) ).
fof(f1932,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),X2)))),multiply(X0,inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3)))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3))))))) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(multiply(inverse(X3),X3)))),
inference(backward_demodulation,[status(thm)],[f1560,f1163]) ).
fof(f1933,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),X2)))),multiply(X0,inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3)))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3))))))) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(multiply(inverse(X3),X3)))),
inference(forward_demodulation,[status(thm)],[f1634,f1932]) ).
fof(f1934,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),X2)))),multiply(X0,inverse(inverse(inverse(multiply(inverse(X3),X3))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3))))))) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(multiply(inverse(X3),X3)))),
inference(forward_demodulation,[status(thm)],[f1105,f1933]) ).
fof(f1935,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),X2)))),multiply(X0,inverse(inverse(multiply(inverse(X3),X3)))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3))))))) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(multiply(inverse(X3),X3)))),
inference(forward_demodulation,[status(thm)],[f1634,f1934]) ).
fof(f1936,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),X2)))),multiply(X0,inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3))))))) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(multiply(inverse(X3),X3)))),
inference(forward_demodulation,[status(thm)],[f1560,f1935]) ).
fof(f1937,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),X2)))),multiply(X0,multiply(inverse(X3),X3)))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3))))))) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(multiply(inverse(X3),X3)))),
inference(forward_demodulation,[status(thm)],[f1634,f1936]) ).
fof(f1938,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),X2)))),multiply(X0,multiply(inverse(X3),X3)))),multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3)))))) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(multiply(inverse(X3),X3)))),
inference(forward_demodulation,[status(thm)],[f1634,f1937]) ).
fof(f1939,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),X2)))),multiply(X0,multiply(inverse(X3),X3)))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3)))))) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(multiply(inverse(X3),X3)))),
inference(forward_demodulation,[status(thm)],[f1634,f1938]) ).
fof(f1940,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),X2)))),multiply(X0,multiply(inverse(X3),X3)))),multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3)))))) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(multiply(inverse(X3),X3)))),
inference(forward_demodulation,[status(thm)],[f846,f1939]) ).
fof(f1941,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),X2)))),multiply(X0,multiply(inverse(X3),X3)))),multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3)))))) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(multiply(inverse(X3),X3)))),
inference(forward_demodulation,[status(thm)],[f1634,f1940]) ).
fof(f1942,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),X2)))),multiply(X0,multiply(inverse(X3),X3)))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3)))) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(multiply(inverse(X3),X3)))),
inference(forward_demodulation,[status(thm)],[f1553,f1941]) ).
fof(f1943,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),X2)))),multiply(X0,multiply(inverse(X3),X3)))),multiply(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3)))) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(multiply(inverse(X3),X3)))),
inference(forward_demodulation,[status(thm)],[f1634,f1942]) ).
fof(f1944,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),X2)))),multiply(X0,multiply(inverse(X3),X3)))),multiply(inverse(X3),X3)) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(multiply(inverse(X3),X3)))),
inference(forward_demodulation,[status(thm)],[f846,f1943]) ).
fof(f1945,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),X2)))),multiply(X0,multiply(inverse(X3),X3)))),multiply(inverse(X3),X3)) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,multiply(inverse(X3),X3))),
inference(forward_demodulation,[status(thm)],[f1634,f1944]) ).
fof(f1950,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(multiply(X3,inverse(multiply(inverse(X4),X2)))),multiply(X3,inverse(X2)))),inverse(multiply(inverse(X1),multiply(inverse(X2),X2))))),X4),
inference(backward_demodulation,[status(thm)],[f1560,f1161]) ).
fof(f1951,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,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(multiply(X3,inverse(multiply(inverse(X4),X2)))),multiply(X3,inverse(X2)))),inverse(multiply(inverse(X1),multiply(inverse(X2),X2))))),X4),
inference(forward_demodulation,[status(thm)],[f1634,f1950]) ).
fof(f1952,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,multiply(inverse(X2),X2)))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X4),X2)))),multiply(X3,inverse(X2)))),inverse(multiply(inverse(X1),multiply(inverse(X2),X2))))),X4),
inference(forward_demodulation,[status(thm)],[f1634,f1951]) ).
fof(f1953,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,multiply(inverse(X2),X2)))),inverse(inverse(multiply(inverse(X2),X2)))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X4),X2)))),multiply(X3,inverse(X2)))),inverse(multiply(inverse(X1),multiply(inverse(X2),X2))))),X4),
inference(forward_demodulation,[status(thm)],[f1003,f1952]) ).
fof(f1954,plain,
! [X0,X1,X2,X3,X4] : 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(X3,inverse(multiply(inverse(X4),X2)))),multiply(X3,inverse(X2)))),inverse(multiply(inverse(X1),multiply(inverse(X2),X2))))),X4),
inference(forward_demodulation,[status(thm)],[f1560,f1953]) ).
fof(f1955,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(multiply(X3,inverse(multiply(inverse(X4),X2)))),multiply(X3,inverse(X2)))),inverse(multiply(inverse(X1),multiply(inverse(X2),X2))))),X4),
inference(forward_demodulation,[status(thm)],[f1634,f1954]) ).
fof(f1970,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(X0,inverse(X1))),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(X1)),inverse(X3))))),multiply(X2,inverse(multiply(X0,inverse(X3)))))),inverse(X4))) = multiply(inverse(multiply(X5,inverse(multiply(inverse(X3),X3)))),multiply(X5,inverse(X4))),
inference(backward_demodulation,[status(thm)],[f1560,f1144]) ).
fof(f1971,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(X0,inverse(X1))),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(X1)),inverse(X3))))),multiply(X2,inverse(multiply(X0,inverse(X3)))))),inverse(X4))) = multiply(inverse(multiply(X5,multiply(inverse(X3),X3))),multiply(X5,inverse(X4))),
inference(forward_demodulation,[status(thm)],[f1634,f1970]) ).
fof(f1980,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X3),X1)))),multiply(X4,inverse(X1)))),inverse(X5)))))),multiply(X2,inverse(multiply(X0,inverse(X5)))))),inverse(X6))) = multiply(inverse(multiply(X7,inverse(multiply(inverse(X5),X5)))),multiply(X7,inverse(X6))),
inference(backward_demodulation,[status(thm)],[f1560,f1079]) ).
fof(f1981,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(inverse(multiply(X0,multiply(inverse(X1),X1))),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X3),X1)))),multiply(X4,inverse(X1)))),inverse(X5)))))),multiply(X2,inverse(multiply(X0,inverse(X5)))))),inverse(X6))) = multiply(inverse(multiply(X7,inverse(multiply(inverse(X5),X5)))),multiply(X7,inverse(X6))),
inference(forward_demodulation,[status(thm)],[f1634,f1980]) ).
fof(f1982,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(inverse(multiply(X0,multiply(inverse(X1),X1))),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X3),X1)))),multiply(X4,inverse(X1)))),inverse(X5)))))),multiply(X2,inverse(multiply(X0,inverse(X5)))))),inverse(X6))) = multiply(inverse(multiply(X7,multiply(inverse(X5),X5))),multiply(X7,inverse(X6))),
inference(forward_demodulation,[status(thm)],[f1634,f1981]) ).
fof(f2035,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4))))),multiply(X0,inverse(X3)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4))) = X1,
inference(backward_demodulation,[status(thm)],[f1634,f520]) ).
fof(f2036,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),multiply(inverse(X4),X4))),X4))))),multiply(X0,inverse(X3)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4))) = X1,
inference(forward_demodulation,[status(thm)],[f1634,f2035]) ).
fof(f2037,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),multiply(inverse(X4),X4))),X4))))),multiply(X0,inverse(X3)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),multiply(inverse(X4),X4))),X4)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4))) = X1,
inference(forward_demodulation,[status(thm)],[f1634,f2036]) ).
fof(f2038,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),multiply(inverse(X4),X4))),X4))))),multiply(X0,inverse(X3)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),multiply(inverse(X4),X4))),X4)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),multiply(inverse(X4),X4))),X4))) = X1,
inference(forward_demodulation,[status(thm)],[f1634,f2037]) ).
fof(f2039,plain,
! [X0,X1,X2,X3,X4] : X0 = multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4))))),multiply(X1,inverse(X3))),
inference(backward_demodulation,[status(thm)],[f1634,f511]) ).
fof(f2040,plain,
! [X0,X1,X2,X3,X4] : X0 = multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),multiply(inverse(X4),X4))),X4)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4))))),multiply(X1,inverse(X3))),
inference(forward_demodulation,[status(thm)],[f1634,f2039]) ).
fof(f2041,plain,
! [X0,X1,X2,X3,X4] : X0 = multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),multiply(inverse(X4),X4))),X4)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),multiply(inverse(X4),X4))),X4)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4))))),multiply(X1,inverse(X3))),
inference(forward_demodulation,[status(thm)],[f1634,f2040]) ).
fof(f2042,plain,
! [X0,X1,X2,X3,X4] : X0 = multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),multiply(inverse(X4),X4))),X4)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),multiply(inverse(X4),X4))),X4)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),multiply(inverse(X4),X4))),X4))))),multiply(X1,inverse(X3))),
inference(forward_demodulation,[status(thm)],[f1634,f2041]) ).
fof(f2043,plain,
! [X0,X1,X2,X3] : multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))),inverse(X1)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2)))) = X3,
inference(backward_demodulation,[status(thm)],[f1634,f479]) ).
fof(f2044,plain,
! [X0,X1,X2,X3] : multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),multiply(inverse(X2),X2))),X2))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))),inverse(X1)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2)))) = X3,
inference(forward_demodulation,[status(thm)],[f1634,f2043]) ).
fof(f2045,plain,
! [X0,X1,X2,X3] : multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),multiply(inverse(X2),X2))),X2))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),multiply(inverse(X2),X2))),X2))),inverse(X1)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2)))) = X3,
inference(forward_demodulation,[status(thm)],[f1634,f2044]) ).
fof(f2046,plain,
! [X0,X1,X2,X3] : multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),multiply(inverse(X2),X2))),X2))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),multiply(inverse(X2),X2))),X2))),inverse(X1)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),multiply(inverse(X2),X2))),X2)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2)))) = X3,
inference(forward_demodulation,[status(thm)],[f1634,f2045]) ).
fof(f2047,plain,
! [X0,X1,X2,X3] : multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),multiply(inverse(X2),X2))),X2))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),multiply(inverse(X2),X2))),X2))),inverse(X1)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),multiply(inverse(X2),X2))),X2)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),multiply(inverse(X2),X2))),X2)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2)))) = X3,
inference(forward_demodulation,[status(thm)],[f1634,f2046]) ).
fof(f2048,plain,
! [X0,X1,X2,X3] : multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),multiply(inverse(X2),X2))),X2))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),multiply(inverse(X2),X2))),X2))),inverse(X1)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),multiply(inverse(X2),X2))),X2)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),multiply(inverse(X2),X2))),X2)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),multiply(inverse(X2),X2))),X2)))) = X3,
inference(forward_demodulation,[status(thm)],[f1634,f2047]) ).
fof(f2049,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4))))),multiply(X1,inverse(X3)))),inverse(X3)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4),
inference(backward_demodulation,[status(thm)],[f1634,f446]) ).
fof(f2050,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),multiply(inverse(X4),X4))),X4))))),multiply(X1,inverse(X3)))),inverse(X3)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4),
inference(forward_demodulation,[status(thm)],[f1634,f2049]) ).
fof(f2051,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),multiply(inverse(X4),X4))),X4))))),multiply(X1,inverse(X3)))),inverse(X3)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),multiply(inverse(X4),X4))),X4)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4),
inference(forward_demodulation,[status(thm)],[f1634,f2050]) ).
fof(f2052,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),multiply(inverse(X4),X4))),X4))))),multiply(X1,inverse(X3)))),inverse(X3)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),multiply(inverse(X4),X4))),X4)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),multiply(inverse(X4),X4))),X4))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4),
inference(forward_demodulation,[status(thm)],[f1634,f2051]) ).
fof(f2053,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),multiply(inverse(X4),X4))),X4))))),multiply(X1,inverse(X3)))),inverse(X3)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),multiply(inverse(X4),X4))),X4)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),multiply(inverse(X4),X4))),X4))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),multiply(inverse(X4),X4))),X4),
inference(forward_demodulation,[status(thm)],[f1634,f2052]) ).
fof(f2060,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(X5)))),inverse(multiply(inverse(X5),X5)))),X5)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(X5)))),inverse(multiply(inverse(X5),X5)))),X5)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(X5)))),inverse(multiply(inverse(X5),X5)))),X5)))) = multiply(X0,inverse(X2)),
inference(backward_demodulation,[status(thm)],[f1634,f435]) ).
fof(f2061,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(X5)))),multiply(inverse(X5),X5))),X5)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(X5)))),inverse(multiply(inverse(X5),X5)))),X5)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(X5)))),inverse(multiply(inverse(X5),X5)))),X5)))) = multiply(X0,inverse(X2)),
inference(forward_demodulation,[status(thm)],[f1634,f2060]) ).
fof(f2062,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(X5)))),multiply(inverse(X5),X5))),X5)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(X5)))),multiply(inverse(X5),X5))),X5)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(X5)))),inverse(multiply(inverse(X5),X5)))),X5)))) = multiply(X0,inverse(X2)),
inference(forward_demodulation,[status(thm)],[f1634,f2061]) ).
fof(f2063,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(X5)))),multiply(inverse(X5),X5))),X5)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(X5)))),multiply(inverse(X5),X5))),X5)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(X5)))),multiply(inverse(X5),X5))),X5)))) = multiply(X0,inverse(X2)),
inference(forward_demodulation,[status(thm)],[f1634,f2062]) ).
fof(f2098,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X3),X1)))),multiply(X4,inverse(X1)))),inverse(X5)))))),multiply(X2,inverse(multiply(X0,inverse(X5)))))),inverse(multiply(X0,inverse(X5)))))),multiply(inverse(X5),X5)) = multiply(X0,inverse(X5)),
inference(backward_demodulation,[status(thm)],[f1634,f1630]) ).
fof(f2099,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,multiply(inverse(X1),X1))),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X3),X1)))),multiply(X4,inverse(X1)))),inverse(X5)))))),multiply(X2,inverse(multiply(X0,inverse(X5)))))),inverse(multiply(X0,inverse(X5)))))),multiply(inverse(X5),X5)) = multiply(X0,inverse(X5)),
inference(forward_demodulation,[status(thm)],[f1634,f2098]) ).
fof(f2169,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(X0),X0)))),inverse(X1))),multiply(inverse(X2),X2))),multiply(inverse(X0),X0)) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),X0)))),multiply(X3,inverse(X0))),
inference(backward_demodulation,[status(thm)],[f1634,f1583]) ).
fof(f2170,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(X1))),multiply(inverse(X2),X2))),multiply(inverse(X0),X0)) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),X0)))),multiply(X3,inverse(X0))),
inference(forward_demodulation,[status(thm)],[f1634,f2169]) ).
fof(f2171,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(X1))),multiply(inverse(X2),X2))),multiply(inverse(X0),X0)) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),X0)))),multiply(X3,inverse(X0))),
inference(forward_demodulation,[status(thm)],[f1634,f2170]) ).
fof(f2172,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),inverse(X1))),multiply(inverse(X2),X2))),multiply(inverse(X0),X0)) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),X0)))),multiply(X3,inverse(X0))),
inference(forward_demodulation,[status(thm)],[f1634,f2171]) ).
fof(f2193,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(inverse(X2),X2)))) = multiply(inverse(multiply(multiply(inverse(X3),X3),inverse(X1))),multiply(inverse(X2),X2)),
inference(backward_demodulation,[status(thm)],[f1634,f1567]) ).
fof(f2194,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,multiply(inverse(X2),X2))) = multiply(inverse(multiply(multiply(inverse(X3),X3),inverse(X1))),multiply(inverse(X2),X2)),
inference(forward_demodulation,[status(thm)],[f1634,f2193]) ).
fof(f2262,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(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)],[f1634,f1464]) ).
fof(f2263,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(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)],[f1560,f2262]) ).
fof(f2264,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(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)],[f1634,f2263]) ).
fof(f2265,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(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)],[f1560,f2264]) ).
fof(f2266,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(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)],[f1634,f2265]) ).
fof(f2267,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,inverse(X2))))),multiply(X0,multiply(inverse(X3),X3)))),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)],[f1634,f2266]) ).
fof(f2286,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(inverse(multiply(inverse(X3),X3))),multiply(inverse(inverse(X1)),inverse(X2))),
inference(backward_demodulation,[status(thm)],[f1634,f1451]) ).
fof(f2287,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(inverse(X1)),inverse(X2))),
inference(forward_demodulation,[status(thm)],[f1634,f2286]) ).
fof(f2288,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(multiply(inverse(X3),X3),multiply(inverse(inverse(X1)),inverse(X2))),
inference(forward_demodulation,[status(thm)],[f1634,f2287]) ).
fof(f2311,plain,
! [X0,X1,X2] : multiply(inverse(inverse(multiply(inverse(multiply(inverse(X0),X0)),X1))),inverse(X1)) = inverse(multiply(inverse(X2),X2)),
inference(backward_demodulation,[status(thm)],[f1634,f1429]) ).
fof(f2312,plain,
! [X0,X1,X2] : multiply(inverse(inverse(multiply(multiply(inverse(X0),X0),X1))),inverse(X1)) = inverse(multiply(inverse(X2),X2)),
inference(forward_demodulation,[status(thm)],[f1634,f2311]) ).
fof(f2313,plain,
! [X0,X1,X2] : multiply(inverse(inverse(multiply(multiply(inverse(X0),X0),X1))),inverse(X1)) = multiply(inverse(X2),X2),
inference(forward_demodulation,[status(thm)],[f1634,f2312]) ).
fof(f2341,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X1),multiply(inverse(X0),X0))))),multiply(inverse(X2),X2))),multiply(inverse(X0),X0)) = X1,
inference(backward_demodulation,[status(thm)],[f1634,f1298]) ).
fof(f2342,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),multiply(inverse(X0),X0))))),multiply(inverse(X2),X2))),multiply(inverse(X0),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f1634,f2341]) ).
fof(f2343,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),multiply(inverse(X0),X0))))),multiply(inverse(X2),X2))),multiply(inverse(X0),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f1634,f2342]) ).
fof(f2364,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(multiply(inverse(inverse(X0)),inverse(multiply(inverse(X1),X0)))),multiply(inverse(X2),X2))),multiply(inverse(X0),X0)) = X1,
inference(backward_demodulation,[status(thm)],[f1634,f937]) ).
fof(f2373,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),multiply(X1,inverse(X2)))),inverse(X3))) = multiply(inverse(multiply(inverse(inverse(X3)),multiply(inverse(X2),X2))),multiply(inverse(X4),X4)),
inference(backward_demodulation,[status(thm)],[f1634,f925]) ).
fof(f2382,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),multiply(X1,inverse(X2)))),inverse(X3))) = multiply(inverse(multiply(inverse(X4),X4)),multiply(inverse(multiply(inverse(X2),X2)),inverse(X3))),
inference(backward_demodulation,[status(thm)],[f1634,f919]) ).
fof(f2383,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),multiply(X1,inverse(X2)))),inverse(X3))) = multiply(multiply(inverse(X4),X4),multiply(inverse(multiply(inverse(X2),X2)),inverse(X3))),
inference(forward_demodulation,[status(thm)],[f1634,f2382]) ).
fof(f2384,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),multiply(X1,inverse(X2)))),inverse(X3))) = multiply(multiply(inverse(X4),X4),multiply(multiply(inverse(X2),X2),inverse(X3))),
inference(forward_demodulation,[status(thm)],[f1634,f2383]) ).
fof(f2404,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(multiply(inverse(X1),X1)),inverse(X2))) = multiply(inverse(multiply(X3,multiply(inverse(X0),X0))),multiply(X3,inverse(X2))),
inference(backward_demodulation,[status(thm)],[f1634,f866]) ).
fof(f2405,plain,
! [X0,X1,X2,X3] : multiply(multiply(inverse(X0),X0),multiply(inverse(multiply(inverse(X1),X1)),inverse(X2))) = multiply(inverse(multiply(X3,multiply(inverse(X0),X0))),multiply(X3,inverse(X2))),
inference(forward_demodulation,[status(thm)],[f1634,f2404]) ).
fof(f2406,plain,
! [X0,X1,X2,X3] : multiply(multiply(inverse(X0),X0),multiply(multiply(inverse(X1),X1),inverse(X2))) = multiply(inverse(multiply(X3,multiply(inverse(X0),X0))),multiply(X3,inverse(X2))),
inference(forward_demodulation,[status(thm)],[f1634,f2405]) ).
fof(f2433,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))),X4)))),multiply(X0,inverse(X4)))),inverse(multiply(inverse(X5),multiply(inverse(X4),X4))))),inverse(X2))),multiply(inverse(X4),X4)) = X5,
inference(backward_demodulation,[status(thm)],[f1634,f806]) ).
fof(f2434,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3)))),multiply(inverse(X3),X3))),X3))),X4)))),multiply(X0,inverse(X4)))),inverse(multiply(inverse(X5),multiply(inverse(X4),X4))))),inverse(X2))),multiply(inverse(X4),X4)) = X5,
inference(forward_demodulation,[status(thm)],[f1634,f2433]) ).
fof(f2477,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,multiply(inverse(X2),X2))),
inference(backward_demodulation,[status(thm)],[f1634,f345]) ).
fof(f2479,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)],[f1634,f342]) ).
fof(f2537,plain,
! [X0,X1,X2] : X0 = multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(multiply(inverse(X0),inverse(multiply(inverse(X2),X2)))))),
inference(paramodulation,[status(thm)],[f1634,f1467]) ).
fof(f2538,plain,
! [X0,X1,X2] : X0 = multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,inverse(multiply(inverse(X0),inverse(multiply(inverse(X2),X2)))))),
inference(forward_demodulation,[status(thm)],[f1634,f2537]) ).
fof(f2539,plain,
! [X0,X1,X2] : X0 = multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,inverse(multiply(inverse(X0),multiply(inverse(X2),X2))))),
inference(forward_demodulation,[status(thm)],[f1634,f2538]) ).
fof(f2543,plain,
! [X0,X1,X2] : inverse(X0) = multiply(inverse(multiply(X1,inverse(inverse(X0)))),multiply(X1,inverse(multiply(inverse(X2),X2)))),
inference(paramodulation,[status(thm)],[f637,f1467]) ).
fof(f2544,plain,
! [X0,X1,X2] : inverse(X0) = multiply(inverse(multiply(X1,inverse(inverse(X0)))),multiply(X1,multiply(inverse(X2),X2))),
inference(forward_demodulation,[status(thm)],[f1634,f2543]) ).
fof(f2760,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(inverse(X0),X0),X1)) = multiply(inverse(multiply(X2,inverse(inverse(X1)))),multiply(X2,inverse(multiply(inverse(X3),X3)))),
inference(paramodulation,[status(thm)],[f2313,f1467]) ).
fof(f2761,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(inverse(X0),X0),X1)) = multiply(inverse(multiply(X2,inverse(inverse(X1)))),multiply(X2,multiply(inverse(X3),X3))),
inference(forward_demodulation,[status(thm)],[f1634,f2760]) ).
fof(f2762,plain,
! [X0,X1] : inverse(multiply(multiply(inverse(X0),X0),X1)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f2544,f2761]) ).
fof(f2842,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),multiply(inverse(X1),X1)))),multiply(inverse(X2),X2))),multiply(inverse(X1),X1)) = X0,
inference(backward_demodulation,[status(thm)],[f2762,f2343]) ).
fof(f2843,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,multiply(inverse(X2),X2))) = multiply(inverse(inverse(X1)),multiply(inverse(X2),X2)),
inference(backward_demodulation,[status(thm)],[f2762,f2194]) ).
fof(f2844,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(backward_demodulation,[status(thm)],[f2762,f2172]) ).
fof(f2889,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(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))),multiply(inverse(X2),X2))),multiply(inverse(X2),X2)) = multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,multiply(inverse(X2),X2))),
inference(backward_demodulation,[status(thm)],[f2843,f1945]) ).
fof(f2890,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(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))),multiply(inverse(X2),X2))),multiply(inverse(X2),X2)) = multiply(inverse(inverse(X3)),multiply(inverse(X2),X2)),
inference(forward_demodulation,[status(thm)],[f2843,f2889]) ).
fof(f2903,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(backward_demodulation,[status(thm)],[f2843,f2267]) ).
fof(f2906,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(X3))),X1) = multiply(inverse(inverse(X3)),multiply(inverse(X2),X2)),
inference(backward_demodulation,[status(thm)],[f2843,f2477]) ).
fof(f2928,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(multiply(X2,inverse(multiply(inverse(X3),X1)))),multiply(X2,inverse(X1)))),inverse(multiply(inverse(X0),multiply(inverse(X1),X1))))),X3),
inference(backward_demodulation,[status(thm)],[f2843,f1955]) ).
fof(f2929,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)],[f2906,f2928]) ).
fof(f2958,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(inverse(X0)),multiply(inverse(X1),X1))),multiply(inverse(X1),X1)) = multiply(multiply(inverse(X2),X2),multiply(inverse(inverse(multiply(inverse(X0),X1))),inverse(X1))),
inference(backward_demodulation,[status(thm)],[f2843,f1740]) ).
fof(f2959,plain,
! [X0,X1,X2] : multiply(inverse(inverse(multiply(inverse(X0),multiply(inverse(X1),X1)))),multiply(inverse(X1),X1)) = multiply(multiply(inverse(X2),X2),multiply(inverse(inverse(multiply(inverse(X0),X1))),inverse(X1))),
inference(forward_demodulation,[status(thm)],[f2929,f2958]) ).
fof(f3004,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X0),multiply(inverse(X1),X1)))),multiply(inverse(X1),X1)))),multiply(inverse(X1),X1))),multiply(inverse(X1),X1)) = multiply(inverse(inverse(X0)),multiply(inverse(X1),X1)),
inference(backward_demodulation,[status(thm)],[f2906,f2890]) ).
fof(f3005,plain,
! [X0,X1] : inverse(multiply(inverse(X0),multiply(inverse(X1),X1))) = multiply(inverse(inverse(X0)),multiply(inverse(X1),X1)),
inference(forward_demodulation,[status(thm)],[f2842,f3004]) ).
fof(f3052,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)],[f2929,f2903]) ).
fof(f3053,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(forward_demodulation,[status(thm)],[f3005,f3052]) ).
fof(f3127,plain,
! [X0,X1,X2] : inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),X1))),multiply(inverse(X1),X1))) = multiply(multiply(inverse(X2),X2),multiply(inverse(inverse(multiply(inverse(X0),X1))),inverse(X1))),
inference(backward_demodulation,[status(thm)],[f3005,f2959]) ).
fof(f3167,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)],[f3005,f2844]) ).
fof(f3168,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)],[f3005,f3167]) ).
fof(f3171,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),multiply(X1,inverse(X2)))),inverse(X3))) = multiply(inverse(inverse(multiply(inverse(X3),multiply(inverse(X2),X2)))),multiply(inverse(X4),X4)),
inference(backward_demodulation,[status(thm)],[f3005,f2373]) ).
fof(f3172,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),multiply(X1,inverse(X2)))),inverse(X3))) = inverse(multiply(inverse(multiply(inverse(X3),multiply(inverse(X2),X2))),multiply(inverse(X4),X4))),
inference(forward_demodulation,[status(thm)],[f3005,f3171]) ).
fof(f3212,plain,
! [X0,X1,X2,X3] : multiply(multiply(inverse(X0),X0),X1) = multiply(inverse(multiply(X2,inverse(inverse(X3)))),multiply(X2,inverse(multiply(inverse(X1),inverse(X3))))),
inference(paramodulation,[status(thm)],[f2762,f1467]) ).
fof(f3213,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(forward_demodulation,[status(thm)],[f1467,f3212]) ).
fof(f3238,plain,
! [X0,X1,X2,X3] : multiply(multiply(inverse(X0),X0),inverse(X1)) = multiply(inverse(multiply(X2,multiply(inverse(X3),X3))),multiply(X2,inverse(X1))),
inference(backward_demodulation,[status(thm)],[f3213,f2406]) ).
fof(f3239,plain,
! [X0,X1,X2] : inverse(X0) = multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,inverse(X0))),
inference(forward_demodulation,[status(thm)],[f3213,f3238]) ).
fof(f3240,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),multiply(X1,inverse(X2)))),inverse(X3))) = multiply(multiply(inverse(X2),X2),inverse(X3)),
inference(backward_demodulation,[status(thm)],[f3213,f2384]) ).
fof(f3241,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),multiply(X1,inverse(X2)))),inverse(X3))) = inverse(X3),
inference(forward_demodulation,[status(thm)],[f3213,f3240]) ).
fof(f3244,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(backward_demodulation,[status(thm)],[f3213,f3127]) ).
fof(f3245,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(inverse(X1)),inverse(X2)),
inference(backward_demodulation,[status(thm)],[f3213,f2288]) ).
fof(f3266,plain,
! [X0,X1] : X0 = inverse(multiply(inverse(X0),multiply(inverse(X1),X1))),
inference(backward_demodulation,[status(thm)],[f3239,f2539]) ).
fof(f3280,plain,
! [X0,X1,X2,X3] : 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))) = inverse(X3),
inference(backward_demodulation,[status(thm)],[f3239,f2479]) ).
fof(f3281,plain,
! [X0,X1] : multiply(inverse(X0),multiply(inverse(inverse(X0)),inverse(X1))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f3241,f3280]) ).
fof(f3304,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(X0,multiply(inverse(X1),X1))),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X3),X1)))),multiply(X4,inverse(X1)))),inverse(X5)))))),multiply(X2,inverse(multiply(X0,inverse(X5)))))),inverse(X6))) = inverse(X6),
inference(backward_demodulation,[status(thm)],[f3239,f1982]) ).
fof(f3305,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(X0,multiply(inverse(X1),X1))),multiply(inverse(multiply(inverse(inverse(multiply(inverse(X2),multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X1)))),multiply(X3,inverse(X1)))),inverse(X4))))),inverse(multiply(X0,inverse(X4))))),inverse(X5))) = inverse(X5),
inference(forward_demodulation,[status(thm)],[f3245,f3304]) ).
fof(f3306,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,multiply(inverse(X1),X1))),multiply(inverse(multiply(inverse(inverse(inverse(X2))),inverse(multiply(X0,inverse(X2))))),inverse(X3))) = inverse(X3),
inference(forward_demodulation,[status(thm)],[f3241,f3305]) ).
fof(f3311,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,inverse(X1))),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(X1)),inverse(X3))))),multiply(X2,inverse(multiply(X0,inverse(X3)))))),inverse(X4))) = inverse(X4),
inference(backward_demodulation,[status(thm)],[f3239,f1971]) ).
fof(f3312,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X1))),multiply(inverse(multiply(inverse(inverse(multiply(inverse(inverse(X1)),inverse(X2)))),inverse(multiply(X0,inverse(X2))))),inverse(X3))) = inverse(X3),
inference(forward_demodulation,[status(thm)],[f3245,f3311]) ).
fof(f3323,plain,
! [X0,X1,X2] : inverse(X0) = inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),X1))),multiply(inverse(X2),X2))),
inference(backward_demodulation,[status(thm)],[f3241,f3172]) ).
fof(f3324,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(X0),multiply(inverse(X1),X1)),
inference(forward_demodulation,[status(thm)],[f3266,f3323]) ).
fof(f3337,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,multiply(inverse(X1),X1))),multiply(inverse(multiply(inverse(multiply(X2,inverse(inverse(X3)))),multiply(X2,inverse(multiply(X0,inverse(X3)))))),inverse(multiply(X0,inverse(X3)))))),multiply(inverse(X3),X3)) = multiply(X0,inverse(X3)),
inference(backward_demodulation,[status(thm)],[f3241,f2099]) ).
fof(f3338,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(multiply(X0,multiply(inverse(X1),X1))),multiply(inverse(multiply(inverse(multiply(X2,inverse(inverse(X3)))),multiply(X2,inverse(multiply(X0,inverse(X3)))))),inverse(multiply(X0,inverse(X3)))))) = multiply(X0,inverse(X3)),
inference(forward_demodulation,[status(thm)],[f3324,f3337]) ).
fof(f3339,plain,
! [X0,X1,X2] : inverse(multiply(inverse(multiply(X0,multiply(inverse(X1),X1))),multiply(inverse(multiply(inverse(inverse(inverse(X2))),inverse(multiply(X0,inverse(X2))))),inverse(multiply(X0,inverse(X2)))))) = multiply(X0,inverse(X2)),
inference(forward_demodulation,[status(thm)],[f3245,f3338]) ).
fof(f3340,plain,
! [X0,X1] : inverse(inverse(multiply(X0,inverse(X1)))) = multiply(X0,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f3306,f3339]) ).
fof(f3353,plain,
! [X0,X1,X2,X3] : multiply(inverse(inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),inverse(X2)) = multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X1)),inverse(X2))))),multiply(X3,inverse(multiply(X0,inverse(X2))))),
inference(backward_demodulation,[status(thm)],[f3244,f3053]) ).
fof(f3354,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(forward_demodulation,[status(thm)],[f3245,f3353]) ).
fof(f3355,plain,
! [X0,X1,X2] : multiply(inverse(inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),inverse(X2)) = multiply(multiply(inverse(inverse(X1)),inverse(X2)),inverse(multiply(X0,inverse(X2)))),
inference(forward_demodulation,[status(thm)],[f3340,f3354]) ).
fof(f3402,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),multiply(inverse(X2),X2))),X2))),X3))),inverse(X3))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),inverse(X1))),multiply(inverse(X3),X3)) = X4,
inference(backward_demodulation,[status(thm)],[f3245,f2434]) ).
fof(f3403,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),multiply(inverse(X2),X2))),X2))),X3))),inverse(X3))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),inverse(X1))) = X4,
inference(forward_demodulation,[status(thm)],[f3324,f3402]) ).
fof(f3404,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))),X2))),X3))),inverse(X3))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),inverse(X1))) = X4,
inference(forward_demodulation,[status(thm)],[f3266,f3403]) ).
fof(f3405,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(multiply(inverse(inverse(X0)),inverse(X1)),X1))),X2))),inverse(X2))),inverse(multiply(inverse(X3),multiply(inverse(X2),X2))))),inverse(X0))) = X3,
inference(forward_demodulation,[status(thm)],[f3245,f3404]) ).
fof(f3406,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(multiply(inverse(inverse(X0)),inverse(X1)),X1))),X2))),inverse(X2))),X3)),inverse(X0))) = X3,
inference(forward_demodulation,[status(thm)],[f3266,f3405]) ).
fof(f3426,plain,
! [X0,X1,X2,X3] : X0 = multiply(inverse(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3)))),multiply(inverse(X3),X3))),X3)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3)))),multiply(inverse(X3),X3))),X3)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3)))),multiply(inverse(X3),X3))),X3)))),inverse(X2)),
inference(backward_demodulation,[status(thm)],[f3245,f2042]) ).
fof(f3427,plain,
! [X0,X1,X2,X3] : X0 = multiply(inverse(inverse(multiply(X0,multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3)))),multiply(inverse(X3),X3))),X3)))),inverse(X2)),
inference(forward_demodulation,[status(thm)],[f3266,f3426]) ).
fof(f3428,plain,
! [X0,X1,X2,X3] : X0 = multiply(inverse(inverse(multiply(X0,multiply(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3))),X3)))),inverse(X2)),
inference(forward_demodulation,[status(thm)],[f3266,f3427]) ).
fof(f3429,plain,
! [X0,X1,X2] : X0 = multiply(inverse(inverse(multiply(X0,multiply(multiply(inverse(inverse(X1)),inverse(X2)),X2)))),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f3245,f3428]) ).
fof(f3470,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3)))),multiply(inverse(X3),X3))),X3)))),inverse(X2))),inverse(X2)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3)))),multiply(inverse(X3),X3))),X3)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3)))),multiply(inverse(X3),X3))),X3))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3)))),multiply(inverse(X3),X3))),X3),
inference(backward_demodulation,[status(thm)],[f3245,f2053]) ).
fof(f3471,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3)))),multiply(inverse(X3),X3))),X3)))),inverse(X2))),inverse(X2)))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3)))),multiply(inverse(X3),X3))),X3),
inference(forward_demodulation,[status(thm)],[f3324,f3470]) ).
fof(f3472,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),multiply(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3))),X3)))),inverse(X2))),inverse(X2)))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3)))),multiply(inverse(X3),X3))),X3),
inference(forward_demodulation,[status(thm)],[f3266,f3471]) ).
fof(f3473,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),multiply(multiply(inverse(inverse(X1)),inverse(X2)),X2)))),inverse(X1))),inverse(X1)))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(X2)))),multiply(inverse(X2),X2))),X2),
inference(forward_demodulation,[status(thm)],[f3245,f3472]) ).
fof(f3474,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(X0),multiply(inverse(inverse(X0)),inverse(X1)))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,inverse(X3)))),multiply(inverse(X3),X3))),X3),
inference(forward_demodulation,[status(thm)],[f3429,f3473]) ).
fof(f3475,plain,
! [X0,X1,X2] : inverse(inverse(X0)) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(X2)))),multiply(inverse(X2),X2))),X2),
inference(forward_demodulation,[status(thm)],[f3281,f3474]) ).
fof(f3476,plain,
! [X0,X1,X2] : inverse(inverse(X0)) = multiply(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(X2))),X2),
inference(forward_demodulation,[status(thm)],[f3266,f3475]) ).
fof(f3477,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(inverse(inverse(X0)),inverse(X1)),X1),
inference(forward_demodulation,[status(thm)],[f3245,f3476]) ).
fof(f3478,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3)))),multiply(inverse(X3),X3))),X3)))),inverse(X2))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3)))),multiply(inverse(X3),X3))),X3)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3)))),multiply(inverse(X3),X3))),X3))) = X0,
inference(backward_demodulation,[status(thm)],[f3245,f2038]) ).
fof(f3479,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3)))),multiply(inverse(X3),X3))),X3)))),inverse(X2))) = X0,
inference(forward_demodulation,[status(thm)],[f3324,f3478]) ).
fof(f3480,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(inverse(multiply(inverse(X0),multiply(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3))),X3)))),inverse(X2))) = X0,
inference(forward_demodulation,[status(thm)],[f3266,f3479]) ).
fof(f3481,plain,
! [X0,X1,X2] : inverse(multiply(inverse(inverse(multiply(inverse(X0),multiply(multiply(inverse(inverse(X1)),inverse(X2)),X2)))),inverse(X1))) = X0,
inference(forward_demodulation,[status(thm)],[f3245,f3480]) ).
fof(f3482,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f3429,f3481]) ).
fof(f3492,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)],[f3245,f3168]) ).
fof(f3493,plain,
! [X0,X1,X2] : multiply(inverse(X0),multiply(inverse(X1),X1)) = multiply(inverse(inverse(multiply(inverse(X0),X2))),inverse(X2)),
inference(forward_demodulation,[status(thm)],[f3266,f3492]) ).
fof(f3494,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(inverse(multiply(inverse(X0),X1))),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f3324,f3493]) ).
fof(f3495,plain,
! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X0),X1),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f3482,f3494]) ).
fof(f3527,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)],[f3245,f1653]) ).
fof(f3528,plain,
! [X0,X1,X2] : inverse(multiply(inverse(inverse(X0)),inverse(multiply(X1,inverse(X2))))) = multiply(X1,inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X2),X2))),X2))),
inference(forward_demodulation,[status(thm)],[f3324,f3527]) ).
fof(f3529,plain,
! [X0,X1,X2] : inverse(multiply(X0,inverse(multiply(X1,inverse(X2))))) = multiply(X1,inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X2),X2))),X2))),
inference(forward_demodulation,[status(thm)],[f3482,f3528]) ).
fof(f3530,plain,
! [X0,X1,X2] : inverse(multiply(X0,inverse(multiply(X1,inverse(X2))))) = multiply(X1,inverse(multiply(X0,X2))),
inference(forward_demodulation,[status(thm)],[f3266,f3529]) ).
fof(f3580,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(X5)))),multiply(inverse(X5),X5))),X5)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(X5)))),multiply(inverse(X5),X5))),X5)))),multiply(inverse(multiply(inverse(multiply(inverse(inverse(X3)),inverse(X5))),multiply(inverse(X5),X5))),X5)))) = multiply(X0,inverse(X2)),
inference(backward_demodulation,[status(thm)],[f3245,f2063]) ).
fof(f3581,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3))),multiply(inverse(multiply(inverse(multiply(inverse(inverse(X3)),inverse(X4))),multiply(inverse(X4),X4))),X4)))) = multiply(X0,inverse(X2)),
inference(forward_demodulation,[status(thm)],[f3266,f3580]) ).
fof(f3582,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(multiply(inverse(inverse(X1)),inverse(X2)),multiply(inverse(multiply(inverse(multiply(inverse(inverse(X2)),inverse(X3))),multiply(inverse(X3),X3))),X3)))) = multiply(X0,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f3245,f3581]) ).
fof(f3583,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(multiply(X1,inverse(X2)),multiply(inverse(multiply(inverse(multiply(inverse(inverse(X2)),inverse(X3))),multiply(inverse(X3),X3))),X3)))) = multiply(X0,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f3482,f3582]) ).
fof(f3584,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(multiply(X1,inverse(X2)),multiply(multiply(inverse(inverse(X2)),inverse(X3)),X3)))) = multiply(X0,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f3266,f3583]) ).
fof(f3585,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(multiply(X1,inverse(X2)),inverse(inverse(X2))))) = multiply(X0,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f3477,f3584]) ).
fof(f3586,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(multiply(X1,inverse(X2)),X2))) = multiply(X0,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f3482,f3585]) ).
fof(f3587,plain,
! [X0,X1,X2,X3] : multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),multiply(inverse(X2),X2))),X2))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),multiply(inverse(X2),X2))),X2))),inverse(X1)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),multiply(inverse(X2),X2))),X2)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),multiply(inverse(X2),X2))),X2)))),multiply(inverse(multiply(inverse(multiply(inverse(inverse(X1)),inverse(X2))),multiply(inverse(X2),X2))),X2)))) = X3,
inference(backward_demodulation,[status(thm)],[f3245,f2048]) ).
fof(f3588,plain,
! [X0,X1,X2,X3] : multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),multiply(inverse(X2),X2))),X2),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),multiply(inverse(X2),X2))),X2))),inverse(X1)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),multiply(inverse(X2),X2))),X2)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),multiply(inverse(X2),X2))),X2)))),multiply(inverse(multiply(inverse(multiply(inverse(inverse(X1)),inverse(X2))),multiply(inverse(X2),X2))),X2)))) = X3,
inference(forward_demodulation,[status(thm)],[f3482,f3587]) ).
fof(f3589,plain,
! [X0,X1,X2,X3] : multiply(multiply(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))),X2),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),multiply(inverse(X2),X2))),X2))),inverse(X1)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),multiply(inverse(X2),X2))),X2)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),multiply(inverse(X2),X2))),X2)))),multiply(inverse(multiply(inverse(multiply(inverse(inverse(X1)),inverse(X2))),multiply(inverse(X2),X2))),X2)))) = X3,
inference(forward_demodulation,[status(thm)],[f3266,f3588]) ).
fof(f3590,plain,
! [X0,X1,X2,X3] : multiply(multiply(multiply(inverse(inverse(X0)),inverse(X1)),X1),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(X0))),multiply(X3,inverse(X1)))),multiply(inverse(X1),X1))),X1))),inverse(X0)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(X0))),multiply(X3,inverse(X1)))),multiply(inverse(X1),X1))),X1)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(X0))),multiply(X3,inverse(X1)))),multiply(inverse(X1),X1))),X1)))),multiply(inverse(multiply(inverse(multiply(inverse(inverse(X0)),inverse(X1))),multiply(inverse(X1),X1))),X1)))) = X2,
inference(forward_demodulation,[status(thm)],[f3245,f3589]) ).
fof(f3591,plain,
! [X0,X1,X2,X3] : multiply(inverse(inverse(X0)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(X3)))),multiply(inverse(X3),X3))),X3))),inverse(X0)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(X3)))),multiply(inverse(X3),X3))),X3)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(X3)))),multiply(inverse(X3),X3))),X3)))),multiply(inverse(multiply(inverse(multiply(inverse(inverse(X0)),inverse(X3))),multiply(inverse(X3),X3))),X3)))) = X1,
inference(forward_demodulation,[status(thm)],[f3477,f3590]) ).
fof(f3592,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(X3)))),multiply(inverse(X3),X3))),X3))),inverse(X0)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(X3)))),multiply(inverse(X3),X3))),X3)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(X3)))),multiply(inverse(X3),X3))),X3)))),multiply(inverse(multiply(inverse(multiply(inverse(inverse(X0)),inverse(X3))),multiply(inverse(X3),X3))),X3)))) = X1,
inference(forward_demodulation,[status(thm)],[f3482,f3591]) ).
fof(f3593,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(X3)))),multiply(inverse(X3),X3))),X3))),inverse(X0))),multiply(inverse(multiply(inverse(multiply(inverse(inverse(X0)),inverse(X3))),multiply(inverse(X3),X3))),X3)))) = X1,
inference(forward_demodulation,[status(thm)],[f3266,f3592]) ).
fof(f3594,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(multiply(inverse(X1),multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(X3)))),multiply(inverse(X3),X3))),X3),inverse(X0))),multiply(inverse(multiply(inverse(multiply(inverse(inverse(X0)),inverse(X3))),multiply(inverse(X3),X3))),X3)))) = X1,
inference(forward_demodulation,[status(thm)],[f3482,f3593]) ).
fof(f3595,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(multiply(inverse(X1),multiply(multiply(multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(X3))),X3),inverse(X0))),multiply(inverse(multiply(inverse(multiply(inverse(inverse(X0)),inverse(X3))),multiply(inverse(X3),X3))),X3)))) = X1,
inference(forward_demodulation,[status(thm)],[f3266,f3594]) ).
fof(f3596,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(multiply(inverse(X1),multiply(multiply(multiply(inverse(inverse(X0)),inverse(X2)),X2),inverse(X0))),multiply(inverse(multiply(inverse(multiply(inverse(inverse(X0)),inverse(X2))),multiply(inverse(X2),X2))),X2)))) = X1,
inference(forward_demodulation,[status(thm)],[f3245,f3595]) ).
fof(f3597,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(multiply(inverse(X1),multiply(inverse(inverse(X0)),inverse(X0))),multiply(inverse(multiply(inverse(multiply(inverse(inverse(X0)),inverse(X2))),multiply(inverse(X2),X2))),X2)))) = X1,
inference(forward_demodulation,[status(thm)],[f3477,f3596]) ).
fof(f3598,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(inverse(inverse(X0)),inverse(X2))),multiply(inverse(X2),X2))),X2)))) = X1,
inference(forward_demodulation,[status(thm)],[f3324,f3597]) ).
fof(f3599,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(X1),multiply(multiply(inverse(inverse(X0)),inverse(X2)),X2)))) = X1,
inference(forward_demodulation,[status(thm)],[f3266,f3598]) ).
fof(f3600,plain,
! [X0,X1] : multiply(X0,inverse(multiply(inverse(X1),inverse(inverse(X0))))) = X1,
inference(forward_demodulation,[status(thm)],[f3477,f3599]) ).
fof(f3601,plain,
! [X0,X1] : multiply(X0,inverse(multiply(inverse(X1),X0))) = X1,
inference(forward_demodulation,[status(thm)],[f3482,f3600]) ).
fof(f3602,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)],[f3245,f929]) ).
fof(f3603,plain,
! [X0,X1,X2] : multiply(X0,inverse(X1)) = multiply(inverse(multiply(inverse(inverse(X1)),inverse(X0))),multiply(inverse(X2),X2)),
inference(forward_demodulation,[status(thm)],[f3482,f3602]) ).
fof(f3604,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = inverse(multiply(inverse(inverse(X1)),inverse(X0))),
inference(forward_demodulation,[status(thm)],[f3324,f3603]) ).
fof(f3605,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = inverse(multiply(X1,inverse(X0))),
inference(forward_demodulation,[status(thm)],[f3482,f3604]) ).
fof(f3612,plain,
! [X0,X1] : multiply(multiply(inverse(inverse(X0)),inverse(multiply(inverse(X1),X0))),multiply(inverse(X0),X0)) = X1,
inference(backward_demodulation,[status(thm)],[f3266,f2364]) ).
fof(f3613,plain,
! [X0,X1] : multiply(multiply(X0,inverse(multiply(inverse(X1),X0))),multiply(inverse(X0),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f3482,f3612]) ).
fof(f3614,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(forward_demodulation,[status(thm)],[f3601,f3613]) ).
fof(f3707,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X1))),multiply(inverse(multiply(multiply(inverse(inverse(X1)),inverse(X2)),inverse(multiply(X0,inverse(X2))))),inverse(X3))) = inverse(X3),
inference(backward_demodulation,[status(thm)],[f3340,f3312]) ).
fof(f3708,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,inverse(X1)),multiply(inverse(multiply(multiply(inverse(inverse(X0)),inverse(X2)),inverse(multiply(X1,inverse(X2))))),inverse(X3))) = inverse(X3),
inference(forward_demodulation,[status(thm)],[f3605,f3707]) ).
fof(f3709,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,inverse(X1)),multiply(multiply(X1,inverse(multiply(multiply(inverse(inverse(X0)),inverse(X2)),X2))),inverse(X3))) = inverse(X3),
inference(forward_demodulation,[status(thm)],[f3530,f3708]) ).
fof(f3710,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X1)),multiply(multiply(X1,inverse(inverse(inverse(X0)))),inverse(X2))) = inverse(X2),
inference(forward_demodulation,[status(thm)],[f3586,f3709]) ).
fof(f3711,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X1)),multiply(multiply(X1,inverse(X0)),inverse(X2))) = inverse(X2),
inference(forward_demodulation,[status(thm)],[f3482,f3710]) ).
fof(f3751,plain,
! [X0,X1,X2] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(inverse(inverse(inverse(X0)))),X1))),inverse(X1))),X2)),inverse(X0))) = X2,
inference(backward_demodulation,[status(thm)],[f3477,f3406]) ).
fof(f3752,plain,
! [X0,X1,X2] : multiply(X0,inverse(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(inverse(inverse(inverse(X0)))),X1))),inverse(X1))),X2)))) = X2,
inference(forward_demodulation,[status(thm)],[f3605,f3751]) ).
fof(f3753,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(multiply(inverse(inverse(multiply(inverse(inverse(inverse(inverse(X0)))),X1))),inverse(X1))),X2)) = X2,
inference(forward_demodulation,[status(thm)],[f3482,f3752]) ).
fof(f3754,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(X1,inverse(inverse(inverse(multiply(inverse(inverse(inverse(inverse(X0)))),X1))))),X2)) = X2,
inference(forward_demodulation,[status(thm)],[f3605,f3753]) ).
fof(f3755,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(X1,inverse(multiply(inverse(inverse(inverse(inverse(X0)))),X1))),X2)) = X2,
inference(forward_demodulation,[status(thm)],[f3482,f3754]) ).
fof(f3756,plain,
! [X0,X1] : multiply(X0,multiply(inverse(inverse(inverse(X0))),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f3601,f3755]) ).
fof(f3757,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f3482,f3756]) ).
fof(f3782,plain,
! [X0,X1,X2] : multiply(multiply(inverse(multiply(X0,inverse(X1))),X2),inverse(X2)) = multiply(multiply(inverse(inverse(X1)),inverse(X2)),inverse(multiply(X0,inverse(X2)))),
inference(backward_demodulation,[status(thm)],[f3482,f3355]) ).
fof(f3783,plain,
! [X0,X1,X2] : inverse(multiply(X0,inverse(X1))) = multiply(multiply(inverse(inverse(X1)),inverse(X2)),inverse(multiply(X0,inverse(X2)))),
inference(forward_demodulation,[status(thm)],[f3495,f3782]) ).
fof(f3784,plain,
! [X0,X1,X2] : multiply(X0,inverse(X1)) = multiply(multiply(inverse(inverse(X0)),inverse(X2)),inverse(multiply(X1,inverse(X2)))),
inference(forward_demodulation,[status(thm)],[f3605,f3783]) ).
fof(f3785,plain,
! [X0,X1,X2] : multiply(X0,inverse(X1)) = multiply(multiply(X0,inverse(X2)),inverse(multiply(X1,inverse(X2)))),
inference(forward_demodulation,[status(thm)],[f3482,f3784]) ).
fof(f3786,plain,
! [X0,X1,X2] : multiply(X0,inverse(X1)) = multiply(multiply(X0,inverse(X2)),multiply(X2,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f3605,f3785]) ).
fof(f3831,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X1)),inverse(X2)) = multiply(X0,inverse(multiply(X2,X1))),
inference(backward_demodulation,[status(thm)],[f3605,f3530]) ).
fof(f3840,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(multiply(X2,X0)))) = inverse(X2),
inference(backward_demodulation,[status(thm)],[f3831,f3711]) ).
fof(f3841,plain,
! [X0,X1] : multiply(X0,inverse(multiply(X1,X0))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f3786,f3840]) ).
fof(f3954,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,inverse(multiply(X1,X2))),inverse(X3)) = multiply(multiply(X0,inverse(X2)),inverse(multiply(X3,X1))),
inference(paramodulation,[status(thm)],[f3831,f3831]) ).
fof(f3955,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(X1,multiply(X2,X3)))) = multiply(multiply(X0,inverse(X3)),inverse(multiply(X1,X2))),
inference(forward_demodulation,[status(thm)],[f3831,f3954]) ).
fof(f3956,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(X1,multiply(X2,X3)))) = multiply(X0,inverse(multiply(multiply(X1,X2),X3))),
inference(forward_demodulation,[status(thm)],[f3831,f3955]) ).
fof(f3971,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X1)),X2) = multiply(X0,inverse(multiply(inverse(X2),X1))),
inference(paramodulation,[status(thm)],[f3482,f3831]) ).
fof(f3972,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X1)),multiply(inverse(X2),X2)) = multiply(X0,inverse(multiply(multiply(inverse(X2),X2),X1))),
inference(paramodulation,[status(thm)],[f1634,f3831]) ).
fof(f3973,plain,
! [X0,X1,X2] : multiply(X0,inverse(X1)) = multiply(X0,inverse(multiply(multiply(inverse(X2),X2),X1))),
inference(forward_demodulation,[status(thm)],[f3614,f3972]) ).
fof(f3974,plain,
! [X0,X1,X2] : multiply(X0,inverse(X1)) = multiply(X0,inverse(multiply(inverse(X2),multiply(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f3956,f3973]) ).
fof(f3975,plain,
! [X0,X1,X2] : multiply(X0,inverse(X1)) = multiply(multiply(X0,inverse(multiply(X2,X1))),X2),
inference(forward_demodulation,[status(thm)],[f3971,f3974]) ).
fof(f4074,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(paramodulation,[status(thm)],[f3482,f3757]) ).
fof(f4302,plain,
! [X0,X1,X2] : multiply(X0,inverse(inverse(multiply(X1,X2)))) = multiply(multiply(X0,inverse(inverse(X1))),X2),
inference(paramodulation,[status(thm)],[f3841,f3975]) ).
fof(f4303,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,inverse(inverse(X1))),X2),
inference(forward_demodulation,[status(thm)],[f3482,f4302]) ).
fof(f4304,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f3482,f4303]) ).
fof(f4307,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(backward_demodulation,[status(thm)],[f4304,f13]) ).
fof(f4308,plain,
( $false
| spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f4307]) ).
fof(f4309,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f4308]) ).
fof(f4326,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f7,f637]) ).
fof(f4327,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f4326]) ).
fof(f4328,plain,
( multiply(inverse(b2),multiply(b2,a2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f4304,f10]) ).
fof(f4329,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f4074,f4328]) ).
fof(f4330,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f4329]) ).
fof(f4331,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f4330]) ).
fof(f4332,plain,
$false,
inference(sat_refutation,[status(thm)],[f14,f4309,f4327,f4331]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP056-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n001.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 12:00:15 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.31 % Drodi V3.5.1
% 21.70/3.13 % Refutation found
% 21.70/3.13 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 21.70/3.13 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 21.70/3.19 % Elapsed time: 2.867146 seconds
% 21.70/3.19 % CPU time: 22.144685 seconds
% 21.70/3.19 % Memory used: 272.351 MB
%------------------------------------------------------------------------------