Twee---2.7.UNS-CRf.s

View TPTP
Problem Process solution in
SystemOnTSTP Download .tgz
%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : GRP435-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 10:10:22 AM UTC 2026

% Result   : Unsatisfiable 0.10s 0.49s
% Output   : CNFRefutation 1.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  128
%            Number of leaves      :    2
% Syntax   : Number of clauses     :  399 ( 399 unt;   0 nHn;   3 RR)
%            Number of literals    :  399 ( 398 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   12 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   : 1202 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).

cnf(c2,axiom,
    inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),multiply(D,inverse(D)))) = C,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).

cnf(c3,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),X4)),X3),X2),multiply(X,inverse(X)))) = X4,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c4,plain,
    X4 = inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),X4)),X3),X2),multiply(X,inverse(X)))),
    inference(symmetry,[status(thm)],[c3]) ).

cnf(c5,plain,
    multiply(X5,X4) = multiply(X5,inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),X4)),X3),X2),multiply(X,inverse(X))))),
    inference(congruence,[status(thm)],[c4]) ).

cnf(c6,plain,
    multiply(multiply(X5,X4),X6) = multiply(multiply(X5,inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),X4)),X3),X2),multiply(X,inverse(X))))),X6),
    inference(congruence,[status(thm)],[c5]) ).

cnf(c7,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),X4)),X3),X2),multiply(X,inverse(X)))) = X4,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c8,plain,
    X4 = inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),X4)),X3),X2),multiply(X,inverse(X)))),
    inference(symmetry,[status(thm)],[c7]) ).

cnf(c9,plain,
    multiply(X5,inverse(X4)) = multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),X5)),X3),X2),multiply(X,inverse(X)))),inverse(X4)),
    inference(congruence,[status(thm)],[c8]) ).

cnf(c10,plain,
    multiply(multiply(X6,inverse(X5)),X4) = multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),X6)),X3),X2),multiply(X,inverse(X)))),inverse(X5)),X4),
    inference(congruence,[status(thm)],[c9]) ).

cnf(c11,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X4,X3),X2)),X4),X3),multiply(X5,inverse(X5)))),multiply(inverse(multiply(multiply(X4,X3),X2)),X4)),X3),multiply(X,inverse(X)))) = multiply(X5,inverse(X5)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c12,plain,
    multiply(X5,inverse(X5)) = inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X4,X3),X2)),X4),X3),multiply(X5,inverse(X5)))),multiply(inverse(multiply(multiply(X4,X3),X2)),X4)),X3),multiply(X,inverse(X)))),
    inference(symmetry,[status(thm)],[c11]) ).

cnf(c13,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),X)),X3),X2),multiply(X4,inverse(X4)))) = X,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c14,plain,
    multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),X)),X3),X2),multiply(X4,inverse(X4)))),multiply(inverse(multiply(multiply(X3,X2),X)),X3)) = multiply(X,multiply(inverse(multiply(multiply(X3,X2),X)),X3)),
    inference(congruence,[status(thm)],[c13]) ).

cnf(c15,plain,
    multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),X)),X3),X2),multiply(X4,inverse(X4)))),multiply(inverse(multiply(multiply(X3,X2),X)),X3)),X2) = multiply(multiply(X,multiply(inverse(multiply(multiply(X3,X2),X)),X3)),X2),
    inference(congruence,[status(thm)],[c14]) ).

cnf(c16,plain,
    multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X4,X3),X2)),X4),X3),multiply(X5,inverse(X5)))),multiply(inverse(multiply(multiply(X4,X3),X2)),X4)),X3),multiply(X,inverse(X))) = multiply(multiply(multiply(X2,multiply(inverse(multiply(multiply(X4,X3),X2)),X4)),X3),multiply(X,inverse(X))),
    inference(congruence,[status(thm)],[c15]) ).

cnf(c17,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X4,X3),X2)),X4),X3),multiply(X5,inverse(X5)))),multiply(inverse(multiply(multiply(X4,X3),X2)),X4)),X3),multiply(X,inverse(X)))) = inverse(multiply(multiply(multiply(X2,multiply(inverse(multiply(multiply(X4,X3),X2)),X4)),X3),multiply(X,inverse(X)))),
    inference(congruence,[status(thm)],[c16]) ).

cnf(c18,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),X)),X3),X2),multiply(X4,inverse(X4)))) = X,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c19,plain,
    X = inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),X)),X3),X2),multiply(X4,inverse(X4)))),
    inference(symmetry,[status(thm)],[c18]) ).

cnf(c20,plain,
    multiply(X,multiply(inverse(multiply(multiply(X3,X2),X)),X3)) = multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),X)),X3),X2),multiply(X4,inverse(X4)))),multiply(inverse(multiply(multiply(X3,X2),X)),X3)),
    inference(congruence,[status(thm)],[c19]) ).

cnf(c21,plain,
    multiply(multiply(X,multiply(inverse(multiply(multiply(X3,X2),X)),X3)),X2) = multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),X)),X3),X2),multiply(X4,inverse(X4)))),multiply(inverse(multiply(multiply(X3,X2),X)),X3)),X2),
    inference(congruence,[status(thm)],[c20]) ).

cnf(c22,plain,
    multiply(multiply(multiply(X2,multiply(inverse(multiply(multiply(X4,X3),X2)),X4)),X3),multiply(X,inverse(X))) = multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X4,X3),X2)),X4),X3),multiply(X5,inverse(X5)))),multiply(inverse(multiply(multiply(X4,X3),X2)),X4)),X3),multiply(X,inverse(X))),
    inference(congruence,[status(thm)],[c21]) ).

cnf(c23,plain,
    inverse(multiply(multiply(multiply(X2,multiply(inverse(multiply(multiply(X4,X3),X2)),X4)),X3),multiply(X,inverse(X)))) = inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X4,X3),X2)),X4),X3),multiply(X5,inverse(X5)))),multiply(inverse(multiply(multiply(X4,X3),X2)),X4)),X3),multiply(X,inverse(X)))),
    inference(congruence,[status(thm)],[c22]) ).

cnf(c24,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X4,X3),X2)),X4),X3),multiply(X5,inverse(X5)))),multiply(inverse(multiply(multiply(X4,X3),X2)),X4)),X3),multiply(X,inverse(X)))) = multiply(X5,inverse(X5)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c25,plain,
    inverse(multiply(multiply(multiply(X2,multiply(inverse(multiply(multiply(X4,X3),X2)),X4)),X3),multiply(X,inverse(X)))) = multiply(X5,inverse(X5)),
    inference(transitivity,[status(thm)],[c23,c24]) ).

cnf(c26,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X4,X3),X2)),X4),X3),multiply(X5,inverse(X5)))),multiply(inverse(multiply(multiply(X4,X3),X2)),X4)),X3),multiply(X,inverse(X)))) = multiply(X6,inverse(X6)),
    inference(transitivity,[status(thm)],[c17,c25]) ).

cnf(c27,plain,
    multiply(X,inverse(X)) = multiply(X2,inverse(X2)),
    inference(transitivity,[status(thm)],[c12,c26]) ).

cnf(c28,plain,
    multiply(X2,inverse(X2)) = multiply(inverse(multiply(X,inverse(X))),inverse(inverse(multiply(X,inverse(X))))),
    inference(substitution,[status(thm)],[c27]) ).

cnf(c29,plain,
    multiply(multiply(X3,inverse(X3)),X2) = multiply(multiply(inverse(multiply(X,inverse(X))),inverse(inverse(multiply(X,inverse(X))))),X2),
    inference(congruence,[status(thm)],[c28]) ).

cnf(c30,plain,
    multiply(multiply(multiply(X4,inverse(X4)),X3),multiply(X2,inverse(X2))) = multiply(multiply(multiply(inverse(multiply(X,inverse(X))),inverse(inverse(multiply(X,inverse(X))))),X3),multiply(X2,inverse(X2))),
    inference(congruence,[status(thm)],[c29]) ).

cnf(c31,plain,
    inverse(multiply(multiply(multiply(X4,inverse(X4)),X3),multiply(X2,inverse(X2)))) = inverse(multiply(multiply(multiply(inverse(multiply(X,inverse(X))),inverse(inverse(multiply(X,inverse(X))))),X3),multiply(X2,inverse(X2)))),
    inference(congruence,[status(thm)],[c30]) ).

cnf(c32,plain,
    multiply(X3,inverse(X3)) = multiply(multiply(X2,X),inverse(multiply(X2,X))),
    inference(substitution,[status(thm)],[c27]) ).

cnf(c33,plain,
    inverse(multiply(X3,inverse(X3))) = inverse(multiply(multiply(X2,X),inverse(multiply(X2,X)))),
    inference(congruence,[status(thm)],[c32]) ).

cnf(c34,plain,
    multiply(inverse(multiply(X3,inverse(X3))),X2) = multiply(inverse(multiply(multiply(X2,X),inverse(multiply(X2,X)))),X2),
    inference(congruence,[status(thm)],[c33]) ).

cnf(c35,plain,
    multiply(multiply(inverse(multiply(X3,inverse(X3))),X2),X) = multiply(multiply(inverse(multiply(multiply(X2,X),inverse(multiply(X2,X)))),X2),X),
    inference(congruence,[status(thm)],[c34]) ).

cnf(c36,plain,
    multiply(multiply(multiply(inverse(multiply(X4,inverse(X4))),X3),X2),multiply(X,inverse(X))) = multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),inverse(multiply(X3,X2)))),X3),X2),multiply(X,inverse(X))),
    inference(congruence,[status(thm)],[c35]) ).

cnf(c37,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(X4,inverse(X4))),X3),X2),multiply(X,inverse(X)))) = inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),inverse(multiply(X3,X2)))),X3),X2),multiply(X,inverse(X)))),
    inference(congruence,[status(thm)],[c36]) ).

cnf(c38,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),inverse(multiply(X3,X2)))),X3),X2),multiply(X,inverse(X)))) = inverse(multiply(X3,X2)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c39,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(X4,inverse(X4))),X3),X2),multiply(X,inverse(X)))) = inverse(multiply(X3,X2)),
    inference(transitivity,[status(thm)],[c37,c38]) ).

cnf(c40,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(X,inverse(X))),inverse(inverse(multiply(X,inverse(X))))),X3),multiply(X2,inverse(X2)))) = inverse(multiply(inverse(inverse(multiply(X,inverse(X)))),X3)),
    inference(substitution,[status(thm)],[c39]) ).

cnf(c41,plain,
    inverse(multiply(multiply(multiply(X4,inverse(X4)),X3),multiply(X2,inverse(X2)))) = inverse(multiply(inverse(inverse(multiply(X,inverse(X)))),X3)),
    inference(transitivity,[status(thm)],[c31,c40]) ).

cnf(c42,plain,
    inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X2,inverse(X2)))),X3),multiply(X,inverse(X)))) = inverse(multiply(inverse(inverse(multiply(X4,inverse(X4)))),X3)),
    inference(substitution,[status(thm)],[c41]) ).

cnf(c43,plain,
    inverse(multiply(inverse(inverse(multiply(X4,inverse(X4)))),X3)) = inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X2,inverse(X2)))),X3),multiply(X,inverse(X)))),
    inference(symmetry,[status(thm)],[c42]) ).

cnf(c44,plain,
    multiply(X2,inverse(X2)) = multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X)))),
    inference(substitution,[status(thm)],[c27]) ).

cnf(c45,plain,
    inverse(multiply(X2,inverse(X2))) = inverse(multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X))))),
    inference(congruence,[status(thm)],[c44]) ).

cnf(c46,plain,
    multiply(inverse(multiply(X2,inverse(X2))),X) = multiply(inverse(multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X))))),X),
    inference(congruence,[status(thm)],[c45]) ).

cnf(c47,plain,
    multiply(multiply(inverse(multiply(X2,inverse(X2))),X),inverse(X)) = multiply(multiply(inverse(multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X))))),X),inverse(X)),
    inference(congruence,[status(thm)],[c46]) ).

cnf(c48,plain,
    inverse(multiply(multiply(inverse(multiply(X2,inverse(X2))),X),inverse(X))) = inverse(multiply(multiply(inverse(multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X))))),X),inverse(X))),
    inference(congruence,[status(thm)],[c47]) ).

cnf(c49,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(X2,inverse(X2))),multiply(inverse(multiply(multiply(X4,X3),inverse(multiply(X2,inverse(X2))))),X4)),X3),multiply(X,inverse(X)))) = inverse(multiply(multiply(inverse(multiply(multiply(X4,X3),inverse(multiply(X2,inverse(X2))))),X4),X3)),
    inference(substitution,[status(thm)],[c39]) ).

cnf(c50,plain,
    inverse(multiply(multiply(inverse(multiply(multiply(X4,X3),inverse(multiply(X2,inverse(X2))))),X4),X3)) = inverse(multiply(multiply(multiply(inverse(multiply(X2,inverse(X2))),multiply(inverse(multiply(multiply(X4,X3),inverse(multiply(X2,inverse(X2))))),X4)),X3),multiply(X,inverse(X)))),
    inference(symmetry,[status(thm)],[c49]) ).

cnf(c51,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),X4)),X3),X2),multiply(X,inverse(X)))) = X4,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c52,plain,
    X4 = inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),X4)),X3),X2),multiply(X,inverse(X)))),
    inference(symmetry,[status(thm)],[c51]) ).

cnf(c53,plain,
    multiply(X4,multiply(inverse(multiply(multiply(X3,X2),X4)),X3)) = multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),X4)),X3),X2),multiply(X,inverse(X)))),multiply(inverse(multiply(multiply(X3,X2),X4)),X3)),
    inference(congruence,[status(thm)],[c52]) ).

cnf(c54,plain,
    multiply(multiply(X4,multiply(inverse(multiply(multiply(X3,X2),X4)),X3)),X2) = multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),X4)),X3),X2),multiply(X,inverse(X)))),multiply(inverse(multiply(multiply(X3,X2),X4)),X3)),X2),
    inference(congruence,[status(thm)],[c53]) ).

cnf(c55,plain,
    multiply(multiply(multiply(X5,multiply(inverse(multiply(multiply(X4,X3),X5)),X4)),X3),multiply(X2,inverse(X2))) = multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X4,X3),X5)),X4),X3),multiply(X,inverse(X)))),multiply(inverse(multiply(multiply(X4,X3),X5)),X4)),X3),multiply(X2,inverse(X2))),
    inference(congruence,[status(thm)],[c54]) ).

cnf(c56,plain,
    inverse(multiply(multiply(multiply(X5,multiply(inverse(multiply(multiply(X4,X3),X5)),X4)),X3),multiply(X2,inverse(X2)))) = inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X4,X3),X5)),X4),X3),multiply(X,inverse(X)))),multiply(inverse(multiply(multiply(X4,X3),X5)),X4)),X3),multiply(X2,inverse(X2)))),
    inference(congruence,[status(thm)],[c55]) ).

cnf(c57,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X4,X3),X5)),X4),X3),multiply(X,inverse(X)))),multiply(inverse(multiply(multiply(X4,X3),X5)),X4)),X3),multiply(X2,inverse(X2)))) = multiply(X,inverse(X)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c58,plain,
    inverse(multiply(multiply(multiply(X5,multiply(inverse(multiply(multiply(X4,X3),X5)),X4)),X3),multiply(X2,inverse(X2)))) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c56,c57]) ).

cnf(c59,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(X3,inverse(X3))),multiply(inverse(multiply(multiply(X5,X4),inverse(multiply(X3,inverse(X3))))),X5)),X4),multiply(X,inverse(X)))) = multiply(X2,inverse(X2)),
    inference(substitution,[status(thm)],[c58]) ).

cnf(c60,plain,
    inverse(multiply(multiply(inverse(multiply(multiply(X4,X3),inverse(multiply(X2,inverse(X2))))),X4),X3)) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c50,c59]) ).

cnf(c61,plain,
    inverse(multiply(multiply(inverse(multiply(multiply(X2,inverse(X2)),inverse(multiply(X2,inverse(X2))))),X2),inverse(X2))) = multiply(X,inverse(X)),
    inference(substitution,[status(thm)],[c60]) ).

cnf(c62,plain,
    inverse(multiply(multiply(inverse(multiply(X3,inverse(X3))),X2),inverse(X2))) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c48,c61]) ).

cnf(c63,plain,
    inverse(multiply(multiply(inverse(multiply(X,inverse(X))),X2),inverse(X2))) = multiply(X,inverse(X)),
    inference(substitution,[status(thm)],[c62]) ).

cnf(c64,plain,
    multiply(X,inverse(X)) = inverse(multiply(multiply(inverse(multiply(X,inverse(X))),X2),inverse(X2))),
    inference(symmetry,[status(thm)],[c63]) ).

cnf(c65,plain,
    multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X)))) = multiply(inverse(multiply(multiply(inverse(multiply(X,inverse(X))),X2),inverse(X2))),inverse(multiply(X,inverse(X)))),
    inference(congruence,[status(thm)],[c64]) ).

cnf(c66,plain,
    multiply(multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X)))),X2) = multiply(multiply(inverse(multiply(multiply(inverse(multiply(X,inverse(X))),X2),inverse(X2))),inverse(multiply(X,inverse(X)))),X2),
    inference(congruence,[status(thm)],[c65]) ).

cnf(c67,plain,
    multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X2,inverse(X2)))),X3),multiply(X,inverse(X))) = multiply(multiply(multiply(inverse(multiply(multiply(inverse(multiply(X2,inverse(X2))),X3),inverse(X3))),inverse(multiply(X2,inverse(X2)))),X3),multiply(X,inverse(X))),
    inference(congruence,[status(thm)],[c66]) ).

cnf(c68,plain,
    inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X2,inverse(X2)))),X3),multiply(X,inverse(X)))) = inverse(multiply(multiply(multiply(inverse(multiply(multiply(inverse(multiply(X2,inverse(X2))),X3),inverse(X3))),inverse(multiply(X2,inverse(X2)))),X3),multiply(X,inverse(X)))),
    inference(congruence,[status(thm)],[c67]) ).

cnf(c69,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(multiply(inverse(multiply(X2,inverse(X2))),X3),inverse(X3))),inverse(multiply(X2,inverse(X2)))),X3),multiply(X,inverse(X)))) = inverse(X3),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c70,plain,
    inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X2,inverse(X2)))),X3),multiply(X,inverse(X)))) = inverse(X3),
    inference(transitivity,[status(thm)],[c68,c69]) ).

cnf(c71,plain,
    inverse(multiply(inverse(inverse(multiply(X2,inverse(X2)))),X)) = inverse(X),
    inference(transitivity,[status(thm)],[c43,c70]) ).

cnf(c72,plain,
    inverse(multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(inverse(inverse(X2))))) = inverse(inverse(inverse(inverse(X2)))),
    inference(substitution,[status(thm)],[c71]) ).

cnf(c73,plain,
    inverse(inverse(inverse(inverse(X2)))) = inverse(multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(inverse(inverse(X2))))),
    inference(symmetry,[status(thm)],[c72]) ).

cnf(c74,plain,
    multiply(X3,inverse(X3)) = multiply(multiply(inverse(multiply(X,inverse(X))),X2),inverse(multiply(inverse(multiply(X,inverse(X))),X2))),
    inference(substitution,[status(thm)],[c27]) ).

cnf(c75,plain,
    multiply(multiply(X4,inverse(X4)),multiply(X3,inverse(X3))) = multiply(multiply(multiply(inverse(multiply(X,inverse(X))),X2),inverse(multiply(inverse(multiply(X,inverse(X))),X2))),multiply(X3,inverse(X3))),
    inference(congruence,[status(thm)],[c74]) ).

cnf(c76,plain,
    inverse(multiply(multiply(X4,inverse(X4)),multiply(X3,inverse(X3)))) = inverse(multiply(multiply(multiply(inverse(multiply(X,inverse(X))),X2),inverse(multiply(inverse(multiply(X,inverse(X))),X2))),multiply(X3,inverse(X3)))),
    inference(congruence,[status(thm)],[c75]) ).

cnf(c77,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(X,inverse(X))),X2),inverse(multiply(inverse(multiply(X,inverse(X))),X2))),multiply(X3,inverse(X3)))) = inverse(multiply(X2,inverse(multiply(inverse(multiply(X,inverse(X))),X2)))),
    inference(substitution,[status(thm)],[c39]) ).

cnf(c78,plain,
    inverse(multiply(multiply(X4,inverse(X4)),multiply(X3,inverse(X3)))) = inverse(multiply(X2,inverse(multiply(inverse(multiply(X,inverse(X))),X2)))),
    inference(transitivity,[status(thm)],[c76,c77]) ).

cnf(c79,plain,
    inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X2,inverse(X2)))),multiply(X,inverse(X)))) = inverse(multiply(X4,inverse(multiply(inverse(multiply(X3,inverse(X3))),X4)))),
    inference(substitution,[status(thm)],[c78]) ).

cnf(c80,plain,
    inverse(multiply(X4,inverse(multiply(inverse(multiply(X3,inverse(X3))),X4)))) = inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X2,inverse(X2)))),multiply(X,inverse(X)))),
    inference(symmetry,[status(thm)],[c79]) ).

cnf(c81,plain,
    inverse(multiply(multiply(inverse(multiply(X2,inverse(X2))),multiply(X,inverse(X))),inverse(multiply(X,inverse(X))))) = multiply(X2,inverse(X2)),
    inference(substitution,[status(thm)],[c62]) ).

cnf(c82,plain,
    multiply(X2,inverse(X2)) = inverse(multiply(multiply(inverse(multiply(X2,inverse(X2))),multiply(X,inverse(X))),inverse(multiply(X,inverse(X))))),
    inference(symmetry,[status(thm)],[c81]) ).

cnf(c83,plain,
    multiply(multiply(X2,inverse(X2)),inverse(multiply(X2,inverse(X2)))) = multiply(inverse(multiply(multiply(inverse(multiply(X2,inverse(X2))),multiply(X,inverse(X))),inverse(multiply(X,inverse(X))))),inverse(multiply(X2,inverse(X2)))),
    inference(congruence,[status(thm)],[c82]) ).

cnf(c84,plain,
    multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X2,inverse(X2)))),multiply(X,inverse(X))) = multiply(multiply(inverse(multiply(multiply(inverse(multiply(X2,inverse(X2))),multiply(X,inverse(X))),inverse(multiply(X,inverse(X))))),inverse(multiply(X2,inverse(X2)))),multiply(X,inverse(X))),
    inference(congruence,[status(thm)],[c83]) ).

cnf(c85,plain,
    inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X2,inverse(X2)))),multiply(X,inverse(X)))) = inverse(multiply(multiply(inverse(multiply(multiply(inverse(multiply(X2,inverse(X2))),multiply(X,inverse(X))),inverse(multiply(X,inverse(X))))),inverse(multiply(X2,inverse(X2)))),multiply(X,inverse(X)))),
    inference(congruence,[status(thm)],[c84]) ).

cnf(c86,plain,
    inverse(multiply(multiply(inverse(multiply(multiply(inverse(multiply(X2,inverse(X2))),multiply(X,inverse(X))),inverse(multiply(X,inverse(X))))),inverse(multiply(X2,inverse(X2)))),multiply(X,inverse(X)))) = multiply(X3,inverse(X3)),
    inference(substitution,[status(thm)],[c60]) ).

cnf(c87,plain,
    inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X2,inverse(X2)))),multiply(X,inverse(X)))) = multiply(X3,inverse(X3)),
    inference(transitivity,[status(thm)],[c85,c86]) ).

cnf(c88,plain,
    inverse(multiply(X3,inverse(multiply(inverse(multiply(X2,inverse(X2))),X3)))) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c80,c87]) ).

cnf(c89,plain,
    inverse(multiply(X2,inverse(multiply(inverse(multiply(X,inverse(X))),X2)))) = multiply(X3,inverse(X3)),
    inference(substitution,[status(thm)],[c88]) ).

cnf(c90,plain,
    multiply(X3,inverse(X3)) = inverse(multiply(X2,inverse(multiply(inverse(multiply(X,inverse(X))),X2)))),
    inference(symmetry,[status(thm)],[c89]) ).

cnf(c91,plain,
    inverse(multiply(X3,inverse(X3))) = inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(X,inverse(X))),X2))))),
    inference(congruence,[status(thm)],[c90]) ).

cnf(c92,plain,
    inverse(inverse(multiply(X3,inverse(X3)))) = inverse(inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(X,inverse(X))),X2)))))),
    inference(congruence,[status(thm)],[c91]) ).

cnf(c93,plain,
    inverse(multiply(multiply(X2,inverse(X2)),multiply(X,inverse(X)))) = inverse(multiply(X4,inverse(multiply(inverse(multiply(X3,inverse(X3))),X4)))),
    inference(substitution,[status(thm)],[c78]) ).

cnf(c94,plain,
    inverse(multiply(X4,inverse(multiply(inverse(multiply(X3,inverse(X3))),X4)))) = inverse(multiply(multiply(X2,inverse(X2)),multiply(X,inverse(X)))),
    inference(symmetry,[status(thm)],[c93]) ).

cnf(c95,plain,
    inverse(inverse(multiply(X4,inverse(multiply(inverse(multiply(X3,inverse(X3))),X4))))) = inverse(inverse(multiply(multiply(X2,inverse(X2)),multiply(X,inverse(X))))),
    inference(congruence,[status(thm)],[c94]) ).

cnf(c96,plain,
    inverse(inverse(inverse(multiply(X4,inverse(multiply(inverse(multiply(X3,inverse(X3))),X4)))))) = inverse(inverse(inverse(multiply(multiply(X2,inverse(X2)),multiply(X,inverse(X)))))),
    inference(congruence,[status(thm)],[c95]) ).

cnf(c97,plain,
    inverse(multiply(inverse(inverse(multiply(X3,inverse(X3)))),inverse(inverse(multiply(multiply(X2,inverse(X2)),multiply(X,inverse(X))))))) = inverse(inverse(inverse(multiply(multiply(X2,inverse(X2)),multiply(X,inverse(X)))))),
    inference(substitution,[status(thm)],[c71]) ).

cnf(c98,plain,
    inverse(inverse(inverse(multiply(multiply(X3,inverse(X3)),multiply(X2,inverse(X2)))))) = inverse(multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(inverse(multiply(multiply(X3,inverse(X3)),multiply(X2,inverse(X2))))))),
    inference(symmetry,[status(thm)],[c97]) ).

cnf(c99,plain,
    inverse(multiply(multiply(multiply(X5,inverse(X5)),inverse(inverse(multiply(multiply(X3,inverse(X3)),multiply(X2,inverse(X2)))))),multiply(X4,inverse(X4)))) = inverse(multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(inverse(multiply(multiply(X3,inverse(X3)),multiply(X2,inverse(X2))))))),
    inference(substitution,[status(thm)],[c41]) ).

cnf(c100,plain,
    inverse(multiply(inverse(inverse(multiply(X3,inverse(X3)))),inverse(inverse(multiply(multiply(X5,inverse(X5)),multiply(X4,inverse(X4))))))) = inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(inverse(multiply(multiply(X5,inverse(X5)),multiply(X4,inverse(X4)))))),multiply(X,inverse(X)))),
    inference(symmetry,[status(thm)],[c99]) ).

cnf(c101,plain,
    inverse(multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(inverse(inverse(multiply(multiply(X3,inverse(X3)),X2)))))) = inverse(inverse(inverse(inverse(multiply(multiply(X3,inverse(X3)),X2))))),
    inference(substitution,[status(thm)],[c71]) ).

cnf(c102,plain,
    inverse(inverse(inverse(inverse(multiply(multiply(X3,inverse(X3)),X2))))) = inverse(multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(inverse(inverse(multiply(multiply(X3,inverse(X3)),X2)))))),
    inference(symmetry,[status(thm)],[c101]) ).

cnf(c103,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,inverse(X3)),X2)),inverse(inverse(multiply(multiply(X3,inverse(X3)),X2)))),inverse(inverse(inverse(multiply(multiply(X3,inverse(X3)),X2))))),multiply(X,inverse(X)))) = inverse(multiply(inverse(inverse(multiply(X4,inverse(X4)))),inverse(inverse(inverse(multiply(multiply(X3,inverse(X3)),X2)))))),
    inference(substitution,[status(thm)],[c41]) ).

cnf(c104,plain,
    inverse(multiply(inverse(inverse(multiply(X4,inverse(X4)))),inverse(inverse(inverse(multiply(multiply(X3,inverse(X3)),X2)))))) = inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,inverse(X3)),X2)),inverse(inverse(multiply(multiply(X3,inverse(X3)),X2)))),inverse(inverse(inverse(multiply(multiply(X3,inverse(X3)),X2))))),multiply(X,inverse(X)))),
    inference(symmetry,[status(thm)],[c103]) ).

cnf(c105,plain,
    multiply(X2,inverse(X2)) = multiply(X,inverse(X)),
    inference(substitution,[status(thm)],[c27]) ).

cnf(c106,plain,
    multiply(multiply(X3,inverse(X3)),X2) = multiply(multiply(X,inverse(X)),X2),
    inference(congruence,[status(thm)],[c105]) ).

cnf(c107,plain,
    inverse(multiply(multiply(X3,inverse(X3)),X2)) = inverse(multiply(multiply(X,inverse(X)),X2)),
    inference(congruence,[status(thm)],[c106]) ).

cnf(c108,plain,
    multiply(inverse(multiply(multiply(X3,inverse(X3)),X2)),X) = multiply(inverse(multiply(multiply(X,inverse(X)),X2)),X),
    inference(congruence,[status(thm)],[c107]) ).

cnf(c109,plain,
    multiply(multiply(inverse(multiply(multiply(X3,inverse(X3)),X2)),X),inverse(X)) = multiply(multiply(inverse(multiply(multiply(X,inverse(X)),X2)),X),inverse(X)),
    inference(congruence,[status(thm)],[c108]) ).

cnf(c110,plain,
    multiply(multiply(multiply(inverse(multiply(multiply(X4,inverse(X4)),X3)),X2),inverse(X2)),multiply(X,inverse(X))) = multiply(multiply(multiply(inverse(multiply(multiply(X2,inverse(X2)),X3)),X2),inverse(X2)),multiply(X,inverse(X))),
    inference(congruence,[status(thm)],[c109]) ).

cnf(c111,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(multiply(X4,inverse(X4)),X3)),X2),inverse(X2)),multiply(X,inverse(X)))) = inverse(multiply(multiply(multiply(inverse(multiply(multiply(X2,inverse(X2)),X3)),X2),inverse(X2)),multiply(X,inverse(X)))),
    inference(congruence,[status(thm)],[c110]) ).

cnf(c112,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(multiply(X2,inverse(X2)),X3)),X2),inverse(X2)),multiply(X,inverse(X)))) = X3,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c113,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(multiply(X4,inverse(X4)),X3)),X2),inverse(X2)),multiply(X,inverse(X)))) = X3,
    inference(transitivity,[status(thm)],[c111,c112]) ).

cnf(c114,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,inverse(X3)),X2)),inverse(inverse(multiply(multiply(X3,inverse(X3)),X2)))),inverse(inverse(inverse(multiply(multiply(X3,inverse(X3)),X2))))),multiply(X,inverse(X)))) = X2,
    inference(substitution,[status(thm)],[c113]) ).

cnf(c115,plain,
    inverse(multiply(inverse(inverse(multiply(X3,inverse(X3)))),inverse(inverse(inverse(multiply(multiply(X2,inverse(X2)),X)))))) = X,
    inference(transitivity,[status(thm)],[c104,c114]) ).

cnf(c116,plain,
    inverse(multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(inverse(inverse(multiply(multiply(X3,inverse(X3)),X2)))))) = X2,
    inference(substitution,[status(thm)],[c115]) ).

cnf(c117,plain,
    inverse(inverse(inverse(inverse(multiply(multiply(X2,inverse(X2)),X))))) = X,
    inference(transitivity,[status(thm)],[c102,c116]) ).

cnf(c118,plain,
    X = inverse(inverse(inverse(inverse(multiply(multiply(X2,inverse(X2)),X))))),
    inference(symmetry,[status(thm)],[c117]) ).

cnf(c119,plain,
    multiply(inverse(inverse(inverse(multiply(multiply(X2,inverse(X2)),X)))),X) = multiply(inverse(inverse(inverse(multiply(multiply(X2,inverse(X2)),X)))),inverse(inverse(inverse(inverse(multiply(multiply(X2,inverse(X2)),X)))))),
    inference(congruence,[status(thm)],[c118]) ).

cnf(c120,plain,
    multiply(X,inverse(X)) = multiply(inverse(inverse(inverse(multiply(multiply(X3,inverse(X3)),X2)))),inverse(inverse(inverse(inverse(multiply(multiply(X3,inverse(X3)),X2)))))),
    inference(substitution,[status(thm)],[c27]) ).

cnf(c121,plain,
    multiply(inverse(inverse(inverse(multiply(multiply(X3,inverse(X3)),X2)))),inverse(inverse(inverse(inverse(multiply(multiply(X3,inverse(X3)),X2)))))) = multiply(X,inverse(X)),
    inference(symmetry,[status(thm)],[c120]) ).

cnf(c122,plain,
    multiply(inverse(inverse(inverse(multiply(multiply(X3,inverse(X3)),X2)))),X2) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c119,c121]) ).

cnf(c123,plain,
    multiply(inverse(inverse(inverse(multiply(multiply(X3,inverse(X3)),multiply(X2,inverse(X2)))))),multiply(X2,inverse(X2))) = multiply(X,inverse(X)),
    inference(substitution,[status(thm)],[c122]) ).

cnf(c124,plain,
    multiply(X,inverse(X)) = multiply(inverse(inverse(inverse(multiply(multiply(X3,inverse(X3)),multiply(X2,inverse(X2)))))),multiply(X2,inverse(X2))),
    inference(symmetry,[status(thm)],[c123]) ).

cnf(c125,plain,
    multiply(multiply(X,inverse(X)),inverse(inverse(multiply(multiply(X3,inverse(X3)),multiply(X2,inverse(X2)))))) = multiply(multiply(inverse(inverse(inverse(multiply(multiply(X3,inverse(X3)),multiply(X2,inverse(X2)))))),multiply(X2,inverse(X2))),inverse(inverse(multiply(multiply(X3,inverse(X3)),multiply(X2,inverse(X2)))))),
    inference(congruence,[status(thm)],[c124]) ).

cnf(c126,plain,
    multiply(multiply(multiply(X2,inverse(X2)),inverse(inverse(multiply(multiply(X4,inverse(X4)),multiply(X3,inverse(X3)))))),multiply(X,inverse(X))) = multiply(multiply(multiply(inverse(inverse(inverse(multiply(multiply(X4,inverse(X4)),multiply(X3,inverse(X3)))))),multiply(X3,inverse(X3))),inverse(inverse(multiply(multiply(X4,inverse(X4)),multiply(X3,inverse(X3)))))),multiply(X,inverse(X))),
    inference(congruence,[status(thm)],[c125]) ).

cnf(c127,plain,
    inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(inverse(multiply(multiply(X4,inverse(X4)),multiply(X3,inverse(X3)))))),multiply(X,inverse(X)))) = inverse(multiply(multiply(multiply(inverse(inverse(inverse(multiply(multiply(X4,inverse(X4)),multiply(X3,inverse(X3)))))),multiply(X3,inverse(X3))),inverse(inverse(multiply(multiply(X4,inverse(X4)),multiply(X3,inverse(X3)))))),multiply(X,inverse(X)))),
    inference(congruence,[status(thm)],[c126]) ).

cnf(c128,plain,
    multiply(X2,inverse(X2)) = multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X)))),
    inference(substitution,[status(thm)],[c27]) ).

cnf(c129,plain,
    multiply(inverse(X3),multiply(X2,inverse(X2))) = multiply(inverse(X3),multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X))))),
    inference(congruence,[status(thm)],[c128]) ).

cnf(c130,plain,
    multiply(multiply(inverse(X3),multiply(X2,inverse(X2))),X3) = multiply(multiply(inverse(X3),multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X))))),X3),
    inference(congruence,[status(thm)],[c129]) ).

cnf(c131,plain,
    multiply(multiply(multiply(inverse(X4),multiply(X3,inverse(X3))),X4),multiply(X2,inverse(X2))) = multiply(multiply(multiply(inverse(X4),multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X))))),X4),multiply(X2,inverse(X2))),
    inference(congruence,[status(thm)],[c130]) ).

cnf(c132,plain,
    inverse(multiply(multiply(multiply(inverse(X4),multiply(X3,inverse(X3))),X4),multiply(X2,inverse(X2)))) = inverse(multiply(multiply(multiply(inverse(X4),multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X))))),X4),multiply(X2,inverse(X2)))),
    inference(congruence,[status(thm)],[c131]) ).

cnf(c133,plain,
    inverse(multiply(multiply(inverse(multiply(X,inverse(X))),X2),inverse(X2))) = multiply(X,inverse(X)),
    inference(substitution,[status(thm)],[c62]) ).

cnf(c134,plain,
    multiply(X,inverse(X)) = inverse(multiply(multiply(inverse(multiply(X,inverse(X))),X2),inverse(X2))),
    inference(symmetry,[status(thm)],[c133]) ).

cnf(c135,plain,
    multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X)))) = multiply(inverse(multiply(multiply(inverse(multiply(X,inverse(X))),X2),inverse(X2))),inverse(multiply(X,inverse(X)))),
    inference(congruence,[status(thm)],[c134]) ).

cnf(c136,plain,
    multiply(inverse(X2),multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X))))) = multiply(inverse(X2),multiply(inverse(multiply(multiply(inverse(multiply(X,inverse(X))),X2),inverse(X2))),inverse(multiply(X,inverse(X))))),
    inference(congruence,[status(thm)],[c135]) ).

cnf(c137,plain,
    multiply(multiply(inverse(X2),multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X))))),X2) = multiply(multiply(inverse(X2),multiply(inverse(multiply(multiply(inverse(multiply(X,inverse(X))),X2),inverse(X2))),inverse(multiply(X,inverse(X))))),X2),
    inference(congruence,[status(thm)],[c136]) ).

cnf(c138,plain,
    multiply(multiply(multiply(inverse(X3),multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X))))),X3),multiply(X2,inverse(X2))) = multiply(multiply(multiply(inverse(X3),multiply(inverse(multiply(multiply(inverse(multiply(X,inverse(X))),X3),inverse(X3))),inverse(multiply(X,inverse(X))))),X3),multiply(X2,inverse(X2))),
    inference(congruence,[status(thm)],[c137]) ).

cnf(c139,plain,
    inverse(multiply(multiply(multiply(inverse(X3),multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X))))),X3),multiply(X2,inverse(X2)))) = inverse(multiply(multiply(multiply(inverse(X3),multiply(inverse(multiply(multiply(inverse(multiply(X,inverse(X))),X3),inverse(X3))),inverse(multiply(X,inverse(X))))),X3),multiply(X2,inverse(X2)))),
    inference(congruence,[status(thm)],[c138]) ).

cnf(c140,plain,
    inverse(multiply(multiply(multiply(inverse(X4),multiply(inverse(multiply(multiply(inverse(multiply(X,inverse(X))),X4),inverse(X4))),inverse(multiply(X,inverse(X))))),X4),multiply(X3,inverse(X3)))) = multiply(X2,inverse(X2)),
    inference(substitution,[status(thm)],[c58]) ).

cnf(c141,plain,
    inverse(multiply(multiply(multiply(inverse(X4),multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X))))),X4),multiply(X3,inverse(X3)))) = multiply(X2,inverse(X2)),
    inference(transitivity,[status(thm)],[c139,c140]) ).

cnf(c142,plain,
    inverse(multiply(multiply(multiply(inverse(X4),multiply(X3,inverse(X3))),X4),multiply(X2,inverse(X2)))) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c132,c141]) ).

cnf(c143,plain,
    inverse(multiply(multiply(multiply(inverse(inverse(inverse(multiply(multiply(X3,inverse(X3)),multiply(X2,inverse(X2)))))),multiply(X2,inverse(X2))),inverse(inverse(multiply(multiply(X3,inverse(X3)),multiply(X2,inverse(X2)))))),multiply(X,inverse(X)))) = multiply(X4,inverse(X4)),
    inference(substitution,[status(thm)],[c142]) ).

cnf(c144,plain,
    inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(inverse(multiply(multiply(X4,inverse(X4)),multiply(X3,inverse(X3)))))),multiply(X,inverse(X)))) = multiply(X5,inverse(X5)),
    inference(transitivity,[status(thm)],[c127,c143]) ).

cnf(c145,plain,
    inverse(multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(inverse(multiply(multiply(X3,inverse(X3)),multiply(X2,inverse(X2))))))) = multiply(X4,inverse(X4)),
    inference(transitivity,[status(thm)],[c100,c144]) ).

cnf(c146,plain,
    inverse(inverse(inverse(multiply(multiply(X2,inverse(X2)),multiply(X,inverse(X)))))) = multiply(X3,inverse(X3)),
    inference(transitivity,[status(thm)],[c98,c145]) ).

cnf(c147,plain,
    inverse(inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(X,inverse(X))),X2)))))) = multiply(X3,inverse(X3)),
    inference(transitivity,[status(thm)],[c96,c146]) ).

cnf(c148,plain,
    inverse(inverse(multiply(X2,inverse(X2)))) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c92,c147]) ).

cnf(c149,plain,
    inverse(inverse(multiply(X,inverse(X)))) = multiply(X2,inverse(X2)),
    inference(substitution,[status(thm)],[c148]) ).

cnf(c150,plain,
    multiply(X2,inverse(X2)) = inverse(inverse(multiply(X,inverse(X)))),
    inference(symmetry,[status(thm)],[c149]) ).

cnf(c151,plain,
    multiply(multiply(X3,inverse(X3)),X2) = multiply(inverse(inverse(multiply(X,inverse(X)))),X2),
    inference(congruence,[status(thm)],[c150]) ).

cnf(c152,plain,
    inverse(multiply(multiply(X3,inverse(X3)),X2)) = inverse(multiply(inverse(inverse(multiply(X,inverse(X)))),X2)),
    inference(congruence,[status(thm)],[c151]) ).

cnf(c153,plain,
    inverse(multiply(inverse(inverse(multiply(X,inverse(X)))),X2)) = inverse(X2),
    inference(substitution,[status(thm)],[c71]) ).

cnf(c154,plain,
    inverse(multiply(multiply(X2,inverse(X2)),X)) = inverse(X),
    inference(transitivity,[status(thm)],[c152,c153]) ).

cnf(c155,plain,
    inverse(multiply(multiply(X,inverse(X)),X2)) = inverse(X2),
    inference(substitution,[status(thm)],[c154]) ).

cnf(c156,plain,
    inverse(X2) = inverse(multiply(multiply(X,inverse(X)),X2)),
    inference(symmetry,[status(thm)],[c155]) ).

cnf(c157,plain,
    inverse(inverse(X2)) = inverse(inverse(multiply(multiply(X,inverse(X)),X2))),
    inference(congruence,[status(thm)],[c156]) ).

cnf(c158,plain,
    inverse(inverse(inverse(X2))) = inverse(inverse(inverse(multiply(multiply(X,inverse(X)),X2)))),
    inference(congruence,[status(thm)],[c157]) ).

cnf(c159,plain,
    multiply(inverse(inverse(multiply(X2,inverse(X2)))),inverse(inverse(inverse(X3)))) = multiply(inverse(inverse(multiply(X2,inverse(X2)))),inverse(inverse(inverse(multiply(multiply(X,inverse(X)),X3))))),
    inference(congruence,[status(thm)],[c158]) ).

cnf(c160,plain,
    inverse(multiply(inverse(inverse(multiply(X2,inverse(X2)))),inverse(inverse(inverse(X3))))) = inverse(multiply(inverse(inverse(multiply(X2,inverse(X2)))),inverse(inverse(inverse(multiply(multiply(X,inverse(X)),X3)))))),
    inference(congruence,[status(thm)],[c159]) ).

cnf(c161,plain,
    inverse(multiply(inverse(inverse(multiply(X2,inverse(X2)))),inverse(inverse(inverse(multiply(multiply(X,inverse(X)),X3)))))) = X3,
    inference(substitution,[status(thm)],[c115]) ).

cnf(c162,plain,
    inverse(multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(inverse(inverse(X2))))) = X2,
    inference(transitivity,[status(thm)],[c160,c161]) ).

cnf(c163,plain,
    inverse(inverse(inverse(inverse(X)))) = X,
    inference(transitivity,[status(thm)],[c73,c162]) ).

cnf(c164,plain,
    inverse(inverse(inverse(inverse(multiply(multiply(X2,X),inverse(X)))))) = multiply(multiply(X2,X),inverse(X)),
    inference(substitution,[status(thm)],[c163]) ).

cnf(c165,plain,
    multiply(multiply(X2,X),inverse(X)) = inverse(inverse(inverse(inverse(multiply(multiply(X2,X),inverse(X)))))),
    inference(symmetry,[status(thm)],[c164]) ).

cnf(c166,plain,
    inverse(multiply(inverse(inverse(multiply(X2,inverse(X2)))),inverse(inverse(inverse(multiply(multiply(X,inverse(X)),X3)))))) = X3,
    inference(substitution,[status(thm)],[c115]) ).

cnf(c167,plain,
    X3 = inverse(multiply(inverse(inverse(multiply(X2,inverse(X2)))),inverse(inverse(inverse(multiply(multiply(X,inverse(X)),X3)))))),
    inference(symmetry,[status(thm)],[c166]) ).

cnf(c168,plain,
    multiply(X4,X3) = multiply(inverse(multiply(inverse(inverse(multiply(X2,inverse(X2)))),inverse(inverse(inverse(multiply(multiply(X,inverse(X)),X4)))))),X3),
    inference(congruence,[status(thm)],[c167]) ).

cnf(c169,plain,
    multiply(multiply(X4,X3),inverse(X3)) = multiply(multiply(inverse(multiply(inverse(inverse(multiply(X2,inverse(X2)))),inverse(inverse(inverse(multiply(multiply(X,inverse(X)),X4)))))),X3),inverse(X3)),
    inference(congruence,[status(thm)],[c168]) ).

cnf(c170,plain,
    inverse(multiply(multiply(X4,X3),inverse(X3))) = inverse(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X2,inverse(X2)))),inverse(inverse(inverse(multiply(multiply(X,inverse(X)),X4)))))),X3),inverse(X3))),
    inference(congruence,[status(thm)],[c169]) ).

cnf(c171,plain,
    inverse(multiply(multiply(X,inverse(X)),X2)) = inverse(X2),
    inference(substitution,[status(thm)],[c154]) ).

cnf(c172,plain,
    inverse(X2) = inverse(multiply(multiply(X,inverse(X)),X2)),
    inference(symmetry,[status(thm)],[c171]) ).

cnf(c173,plain,
    multiply(inverse(X3),X2) = multiply(inverse(multiply(multiply(X,inverse(X)),X3)),X2),
    inference(congruence,[status(thm)],[c172]) ).

cnf(c174,plain,
    multiply(multiply(inverse(X3),X2),inverse(X2)) = multiply(multiply(inverse(multiply(multiply(X,inverse(X)),X3)),X2),inverse(X2)),
    inference(congruence,[status(thm)],[c173]) ).

cnf(c175,plain,
    inverse(multiply(multiply(inverse(X3),X2),inverse(X2))) = inverse(multiply(multiply(inverse(multiply(multiply(X,inverse(X)),X3)),X2),inverse(X2))),
    inference(congruence,[status(thm)],[c174]) ).

cnf(c176,plain,
    inverse(inverse(multiply(X,inverse(X)))) = multiply(X2,inverse(X2)),
    inference(substitution,[status(thm)],[c148]) ).

cnf(c177,plain,
    multiply(X2,inverse(X2)) = inverse(inverse(multiply(X,inverse(X)))),
    inference(symmetry,[status(thm)],[c176]) ).

cnf(c178,plain,
    multiply(multiply(X3,inverse(X3)),X2) = multiply(inverse(inverse(multiply(X,inverse(X)))),X2),
    inference(congruence,[status(thm)],[c177]) ).

cnf(c179,plain,
    inverse(inverse(inverse(inverse(multiply(inverse(inverse(multiply(X,inverse(X)))),X2))))) = multiply(inverse(inverse(multiply(X,inverse(X)))),X2),
    inference(substitution,[status(thm)],[c163]) ).

cnf(c180,plain,
    multiply(inverse(inverse(multiply(X,inverse(X)))),X2) = inverse(inverse(inverse(inverse(multiply(inverse(inverse(multiply(X,inverse(X)))),X2))))),
    inference(symmetry,[status(thm)],[c179]) ).

cnf(c181,plain,
    inverse(multiply(inverse(inverse(multiply(X,inverse(X)))),X2)) = inverse(X2),
    inference(substitution,[status(thm)],[c71]) ).

cnf(c182,plain,
    inverse(inverse(multiply(inverse(inverse(multiply(X,inverse(X)))),X2))) = inverse(inverse(X2)),
    inference(congruence,[status(thm)],[c181]) ).

cnf(c183,plain,
    inverse(inverse(inverse(multiply(inverse(inverse(multiply(X,inverse(X)))),X2)))) = inverse(inverse(inverse(X2))),
    inference(congruence,[status(thm)],[c182]) ).

cnf(c184,plain,
    inverse(inverse(inverse(inverse(multiply(inverse(inverse(multiply(X,inverse(X)))),X2))))) = inverse(inverse(inverse(inverse(X2)))),
    inference(congruence,[status(thm)],[c183]) ).

cnf(c185,plain,
    inverse(inverse(inverse(inverse(multiply(inverse(inverse(multiply(X,inverse(X)))),X2))))) = X2,
    inference(transitivity,[status(thm)],[c184,c163]) ).

cnf(c186,plain,
    multiply(inverse(inverse(multiply(X,inverse(X)))),X2) = X2,
    inference(transitivity,[status(thm)],[c180,c185]) ).

cnf(c187,plain,
    multiply(multiply(X2,inverse(X2)),X) = X,
    inference(transitivity,[status(thm)],[c178,c186]) ).

cnf(c188,plain,
    multiply(multiply(X,inverse(X)),X2) = X2,
    inference(substitution,[status(thm)],[c187]) ).

cnf(c189,plain,
    X2 = multiply(multiply(X,inverse(X)),X2),
    inference(symmetry,[status(thm)],[c188]) ).

cnf(c190,plain,
    multiply(X3,multiply(X2,inverse(X2))) = multiply(multiply(multiply(X,inverse(X)),X3),multiply(X2,inverse(X2))),
    inference(congruence,[status(thm)],[c189]) ).

cnf(c191,plain,
    inverse(multiply(X3,multiply(X2,inverse(X2)))) = inverse(multiply(multiply(multiply(X,inverse(X)),X3),multiply(X2,inverse(X2)))),
    inference(congruence,[status(thm)],[c190]) ).

cnf(c192,plain,
    inverse(multiply(multiply(multiply(X2,inverse(X2)),X4),multiply(X3,inverse(X3)))) = inverse(multiply(inverse(inverse(multiply(X,inverse(X)))),X4)),
    inference(substitution,[status(thm)],[c41]) ).

cnf(c193,plain,
    inverse(multiply(inverse(inverse(multiply(X,inverse(X)))),X2)) = inverse(X2),
    inference(substitution,[status(thm)],[c71]) ).

cnf(c194,plain,
    inverse(multiply(multiply(multiply(X,inverse(X)),X3),multiply(X2,inverse(X2)))) = inverse(X3),
    inference(transitivity,[status(thm)],[c192,c193]) ).

cnf(c195,plain,
    inverse(multiply(X2,multiply(X,inverse(X)))) = inverse(X2),
    inference(transitivity,[status(thm)],[c191,c194]) ).

cnf(c196,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(multiply(X2,inverse(X2)),X4)),X3),inverse(X3)),multiply(X,inverse(X)))) = inverse(multiply(multiply(inverse(multiply(multiply(X2,inverse(X2)),X4)),X3),inverse(X3))),
    inference(substitution,[status(thm)],[c195]) ).

cnf(c197,plain,
    inverse(multiply(multiply(inverse(multiply(multiply(X2,inverse(X2)),X4)),X3),inverse(X3))) = inverse(multiply(multiply(multiply(inverse(multiply(multiply(X2,inverse(X2)),X4)),X3),inverse(X3)),multiply(X,inverse(X)))),
    inference(symmetry,[status(thm)],[c196]) ).

cnf(c198,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(multiply(X2,inverse(X2)),X4)),X3),inverse(X3)),multiply(X,inverse(X)))) = X4,
    inference(substitution,[status(thm)],[c113]) ).

cnf(c199,plain,
    inverse(multiply(multiply(inverse(multiply(multiply(X,inverse(X)),X3)),X2),inverse(X2))) = X3,
    inference(transitivity,[status(thm)],[c197,c198]) ).

cnf(c200,plain,
    inverse(multiply(multiply(inverse(X2),X),inverse(X))) = X2,
    inference(transitivity,[status(thm)],[c175,c199]) ).

cnf(c201,plain,
    inverse(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X2,inverse(X2)))),inverse(inverse(inverse(multiply(multiply(X,inverse(X)),X4)))))),X3),inverse(X3))) = multiply(inverse(inverse(multiply(X2,inverse(X2)))),inverse(inverse(inverse(multiply(multiply(X,inverse(X)),X4))))),
    inference(substitution,[status(thm)],[c200]) ).

cnf(c202,plain,
    multiply(inverse(inverse(multiply(X3,inverse(X3)))),inverse(inverse(inverse(multiply(multiply(X2,inverse(X2)),X4))))) = multiply(multiply(X,inverse(X)),inverse(inverse(inverse(multiply(multiply(X2,inverse(X2)),X4))))),
    inference(congruence,[status(thm)],[c148]) ).

cnf(c203,plain,
    multiply(multiply(X,inverse(X)),inverse(inverse(inverse(multiply(multiply(X2,inverse(X2)),X3))))) = inverse(inverse(inverse(multiply(multiply(X2,inverse(X2)),X3)))),
    inference(substitution,[status(thm)],[c187]) ).

cnf(c204,plain,
    inverse(multiply(multiply(X,inverse(X)),X2)) = inverse(X2),
    inference(substitution,[status(thm)],[c154]) ).

cnf(c205,plain,
    inverse(X2) = inverse(multiply(multiply(X,inverse(X)),X2)),
    inference(symmetry,[status(thm)],[c204]) ).

cnf(c206,plain,
    inverse(inverse(X2)) = inverse(inverse(multiply(multiply(X,inverse(X)),X2))),
    inference(congruence,[status(thm)],[c205]) ).

cnf(c207,plain,
    inverse(multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(multiply(multiply(X2,inverse(X2)),X3)))) = inverse(inverse(multiply(multiply(X2,inverse(X2)),X3))),
    inference(substitution,[status(thm)],[c71]) ).

cnf(c208,plain,
    inverse(inverse(multiply(multiply(X2,inverse(X2)),X3))) = inverse(multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(multiply(multiply(X2,inverse(X2)),X3)))),
    inference(symmetry,[status(thm)],[c207]) ).

cnf(c209,plain,
    inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X4,inverse(X4)),X5))),multiply(X,inverse(X)))) = inverse(multiply(inverse(inverse(multiply(X3,inverse(X3)))),inverse(multiply(multiply(X4,inverse(X4)),X5)))),
    inference(substitution,[status(thm)],[c41]) ).

cnf(c210,plain,
    inverse(multiply(inverse(inverse(multiply(X3,inverse(X3)))),inverse(multiply(multiply(X4,inverse(X4)),X5)))) = inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X4,inverse(X4)),X5))),multiply(X,inverse(X)))),
    inference(symmetry,[status(thm)],[c209]) ).

cnf(c211,plain,
    inverse(inverse(inverse(inverse(multiply(inverse(X),X))))) = multiply(inverse(X),X),
    inference(substitution,[status(thm)],[c163]) ).

cnf(c212,plain,
    multiply(inverse(X),X) = inverse(inverse(inverse(inverse(multiply(inverse(X),X))))),
    inference(symmetry,[status(thm)],[c211]) ).

cnf(c213,plain,
    inverse(X2) = inverse(multiply(X2,multiply(X,inverse(X)))),
    inference(symmetry,[status(thm)],[c195]) ).

cnf(c214,plain,
    multiply(inverse(X2),X2) = multiply(inverse(multiply(X2,multiply(X,inverse(X)))),X2),
    inference(congruence,[status(thm)],[c213]) ).

cnf(c215,plain,
    inverse(multiply(inverse(X2),X2)) = inverse(multiply(inverse(multiply(X2,multiply(X,inverse(X)))),X2)),
    inference(congruence,[status(thm)],[c214]) ).

cnf(c216,plain,
    inverse(multiply(multiply(X3,multiply(X2,inverse(X2))),multiply(X,inverse(X)))) = inverse(multiply(X3,multiply(X2,inverse(X2)))),
    inference(substitution,[status(thm)],[c195]) ).

cnf(c217,plain,
    inverse(multiply(X3,multiply(X2,inverse(X2)))) = inverse(multiply(multiply(X3,multiply(X2,inverse(X2))),multiply(X,inverse(X)))),
    inference(symmetry,[status(thm)],[c216]) ).

cnf(c218,plain,
    multiply(inverse(multiply(X3,multiply(X2,inverse(X2)))),X3) = multiply(inverse(multiply(multiply(X3,multiply(X2,inverse(X2))),multiply(X,inverse(X)))),X3),
    inference(congruence,[status(thm)],[c217]) ).

cnf(c219,plain,
    inverse(multiply(inverse(multiply(X3,multiply(X2,inverse(X2)))),X3)) = inverse(multiply(inverse(multiply(multiply(X3,multiply(X2,inverse(X2))),multiply(X,inverse(X)))),X3)),
    inference(congruence,[status(thm)],[c218]) ).

cnf(c220,plain,
    multiply(X2,inverse(X2)) = multiply(multiply(inverse(multiply(X,inverse(X))),inverse(inverse(multiply(X,inverse(X))))),inverse(multiply(inverse(multiply(X,inverse(X))),inverse(inverse(multiply(X,inverse(X))))))),
    inference(substitution,[status(thm)],[c27]) ).

cnf(c221,plain,
    inverse(multiply(X2,inverse(X2))) = inverse(multiply(multiply(inverse(multiply(X,inverse(X))),inverse(inverse(multiply(X,inverse(X))))),inverse(multiply(inverse(multiply(X,inverse(X))),inverse(inverse(multiply(X,inverse(X)))))))),
    inference(congruence,[status(thm)],[c220]) ).

cnf(c222,plain,
    inverse(inverse(multiply(X,inverse(X)))) = multiply(inverse(multiply(X,inverse(X))),inverse(inverse(multiply(X,inverse(X))))),
    inference(substitution,[status(thm)],[c148]) ).

cnf(c223,plain,
    multiply(inverse(multiply(X,inverse(X))),inverse(inverse(multiply(X,inverse(X))))) = inverse(inverse(multiply(X,inverse(X)))),
    inference(symmetry,[status(thm)],[c222]) ).

cnf(c224,plain,
    multiply(multiply(inverse(multiply(X,inverse(X))),inverse(inverse(multiply(X,inverse(X))))),inverse(multiply(inverse(multiply(X,inverse(X))),inverse(inverse(multiply(X,inverse(X))))))) = multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(multiply(inverse(multiply(X,inverse(X))),inverse(inverse(multiply(X,inverse(X))))))),
    inference(congruence,[status(thm)],[c223]) ).

cnf(c225,plain,
    inverse(multiply(multiply(inverse(multiply(X,inverse(X))),inverse(inverse(multiply(X,inverse(X))))),inverse(multiply(inverse(multiply(X,inverse(X))),inverse(inverse(multiply(X,inverse(X)))))))) = inverse(multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(multiply(inverse(multiply(X,inverse(X))),inverse(inverse(multiply(X,inverse(X)))))))),
    inference(congruence,[status(thm)],[c224]) ).

cnf(c226,plain,
    inverse(multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(multiply(inverse(multiply(X,inverse(X))),inverse(inverse(multiply(X,inverse(X)))))))) = multiply(X2,inverse(X2)),
    inference(substitution,[status(thm)],[c88]) ).

cnf(c227,plain,
    inverse(multiply(multiply(inverse(multiply(X,inverse(X))),inverse(inverse(multiply(X,inverse(X))))),inverse(multiply(inverse(multiply(X,inverse(X))),inverse(inverse(multiply(X,inverse(X)))))))) = multiply(X2,inverse(X2)),
    inference(transitivity,[status(thm)],[c225,c226]) ).

cnf(c228,plain,
    inverse(multiply(X2,inverse(X2))) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c221,c227]) ).

cnf(c229,plain,
    inverse(multiply(X,inverse(X))) = multiply(X2,inverse(X2)),
    inference(substitution,[status(thm)],[c228]) ).

cnf(c230,plain,
    multiply(X2,inverse(X2)) = inverse(multiply(X,inverse(X))),
    inference(symmetry,[status(thm)],[c229]) ).

cnf(c231,plain,
    multiply(multiply(X4,multiply(X3,inverse(X3))),multiply(X2,inverse(X2))) = multiply(multiply(X4,multiply(X3,inverse(X3))),inverse(multiply(X,inverse(X)))),
    inference(congruence,[status(thm)],[c230]) ).

cnf(c232,plain,
    inverse(multiply(multiply(X4,multiply(X3,inverse(X3))),multiply(X2,inverse(X2)))) = inverse(multiply(multiply(X4,multiply(X3,inverse(X3))),inverse(multiply(X,inverse(X))))),
    inference(congruence,[status(thm)],[c231]) ).

cnf(c233,plain,
    multiply(inverse(multiply(multiply(X4,multiply(X3,inverse(X3))),multiply(X2,inverse(X2)))),X4) = multiply(inverse(multiply(multiply(X4,multiply(X3,inverse(X3))),inverse(multiply(X,inverse(X))))),X4),
    inference(congruence,[status(thm)],[c232]) ).

cnf(c234,plain,
    inverse(multiply(inverse(multiply(multiply(X4,multiply(X3,inverse(X3))),multiply(X2,inverse(X2)))),X4)) = inverse(multiply(inverse(multiply(multiply(X4,multiply(X3,inverse(X3))),inverse(multiply(X,inverse(X))))),X4)),
    inference(congruence,[status(thm)],[c233]) ).

cnf(c235,plain,
    inverse(multiply(multiply(inverse(multiply(multiply(X3,multiply(X2,inverse(X2))),inverse(multiply(X,inverse(X))))),X3),multiply(X2,inverse(X2)))) = inverse(multiply(inverse(multiply(multiply(X3,multiply(X2,inverse(X2))),inverse(multiply(X,inverse(X))))),X3)),
    inference(substitution,[status(thm)],[c195]) ).

cnf(c236,plain,
    inverse(multiply(inverse(multiply(multiply(X3,multiply(X2,inverse(X2))),inverse(multiply(X,inverse(X))))),X3)) = inverse(multiply(multiply(inverse(multiply(multiply(X3,multiply(X2,inverse(X2))),inverse(multiply(X,inverse(X))))),X3),multiply(X2,inverse(X2)))),
    inference(symmetry,[status(thm)],[c235]) ).

cnf(c237,plain,
    inverse(multiply(multiply(inverse(multiply(multiply(X4,multiply(X2,inverse(X2))),inverse(multiply(X,inverse(X))))),X4),multiply(X2,inverse(X2)))) = multiply(X3,inverse(X3)),
    inference(substitution,[status(thm)],[c60]) ).

cnf(c238,plain,
    inverse(multiply(inverse(multiply(multiply(X4,multiply(X2,inverse(X2))),inverse(multiply(X,inverse(X))))),X4)) = multiply(X3,inverse(X3)),
    inference(transitivity,[status(thm)],[c236,c237]) ).

cnf(c239,plain,
    inverse(multiply(inverse(multiply(multiply(X4,multiply(X2,inverse(X2))),multiply(X,inverse(X)))),X4)) = multiply(X3,inverse(X3)),
    inference(transitivity,[status(thm)],[c234,c238]) ).

cnf(c240,plain,
    inverse(multiply(inverse(multiply(X3,multiply(X,inverse(X)))),X3)) = multiply(X2,inverse(X2)),
    inference(transitivity,[status(thm)],[c219,c239]) ).

cnf(c241,plain,
    inverse(multiply(inverse(X2),X2)) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c215,c240]) ).

cnf(c242,plain,
    inverse(inverse(multiply(inverse(X2),X2))) = inverse(multiply(X,inverse(X))),
    inference(congruence,[status(thm)],[c241]) ).

cnf(c243,plain,
    inverse(inverse(inverse(multiply(inverse(X2),X2)))) = inverse(inverse(multiply(X,inverse(X)))),
    inference(congruence,[status(thm)],[c242]) ).

cnf(c244,plain,
    inverse(inverse(inverse(inverse(multiply(inverse(X2),X2))))) = inverse(inverse(inverse(multiply(X,inverse(X))))),
    inference(congruence,[status(thm)],[c243]) ).

cnf(c245,plain,
    inverse(inverse(inverse(multiply(X2,inverse(X2))))) = inverse(multiply(X,inverse(X))),
    inference(congruence,[status(thm)],[c148]) ).

cnf(c246,plain,
    inverse(multiply(X,inverse(X))) = multiply(X2,inverse(X2)),
    inference(substitution,[status(thm)],[c228]) ).

cnf(c247,plain,
    inverse(inverse(inverse(multiply(X,inverse(X))))) = multiply(X2,inverse(X2)),
    inference(transitivity,[status(thm)],[c245,c246]) ).

cnf(c248,plain,
    inverse(inverse(inverse(inverse(multiply(inverse(X2),X2))))) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c244,c247]) ).

cnf(c249,plain,
    multiply(inverse(X2),X2) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c212,c248]) ).

cnf(c250,plain,
    multiply(inverse(multiply(multiply(X2,inverse(X2)),X3)),multiply(multiply(X2,inverse(X2)),X3)) = multiply(X,inverse(X)),
    inference(substitution,[status(thm)],[c249]) ).

cnf(c251,plain,
    multiply(X,inverse(X)) = multiply(inverse(multiply(multiply(X2,inverse(X2)),X3)),multiply(multiply(X2,inverse(X2)),X3)),
    inference(symmetry,[status(thm)],[c250]) ).

cnf(c252,plain,
    multiply(multiply(X,inverse(X)),inverse(multiply(multiply(X2,inverse(X2)),X3))) = multiply(multiply(inverse(multiply(multiply(X2,inverse(X2)),X3)),multiply(multiply(X2,inverse(X2)),X3)),inverse(multiply(multiply(X2,inverse(X2)),X3))),
    inference(congruence,[status(thm)],[c251]) ).

cnf(c253,plain,
    multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X3,inverse(X3)),X4))),multiply(X,inverse(X))) = multiply(multiply(multiply(inverse(multiply(multiply(X3,inverse(X3)),X4)),multiply(multiply(X3,inverse(X3)),X4)),inverse(multiply(multiply(X3,inverse(X3)),X4))),multiply(X,inverse(X))),
    inference(congruence,[status(thm)],[c252]) ).

cnf(c254,plain,
    inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X3,inverse(X3)),X4))),multiply(X,inverse(X)))) = inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,inverse(X3)),X4)),multiply(multiply(X3,inverse(X3)),X4)),inverse(multiply(multiply(X3,inverse(X3)),X4))),multiply(X,inverse(X)))),
    inference(congruence,[status(thm)],[c253]) ).

cnf(c255,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(multiply(X2,inverse(X2)),X3)),multiply(multiply(X2,inverse(X2)),X3)),inverse(multiply(multiply(X2,inverse(X2)),X3))),multiply(X,inverse(X)))) = X3,
    inference(substitution,[status(thm)],[c113]) ).

cnf(c256,plain,
    inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X3,inverse(X3)),X4))),multiply(X,inverse(X)))) = X4,
    inference(transitivity,[status(thm)],[c254,c255]) ).

cnf(c257,plain,
    inverse(multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(multiply(multiply(X2,inverse(X2)),X3)))) = X3,
    inference(transitivity,[status(thm)],[c210,c256]) ).

cnf(c258,plain,
    inverse(inverse(multiply(multiply(X,inverse(X)),X2))) = X2,
    inference(transitivity,[status(thm)],[c208,c257]) ).

cnf(c259,plain,
    inverse(inverse(X)) = X,
    inference(transitivity,[status(thm)],[c206,c258]) ).

cnf(c260,plain,
    inverse(inverse(inverse(multiply(multiply(X,inverse(X)),X2)))) = inverse(multiply(multiply(X,inverse(X)),X2)),
    inference(substitution,[status(thm)],[c259]) ).

cnf(c261,plain,
    inverse(multiply(multiply(X,inverse(X)),X2)) = inverse(X2),
    inference(substitution,[status(thm)],[c154]) ).

cnf(c262,plain,
    inverse(inverse(inverse(multiply(multiply(X,inverse(X)),X2)))) = inverse(X2),
    inference(transitivity,[status(thm)],[c260,c261]) ).

cnf(c263,plain,
    multiply(multiply(X,inverse(X)),inverse(inverse(inverse(multiply(multiply(X2,inverse(X2)),X3))))) = inverse(X3),
    inference(transitivity,[status(thm)],[c203,c262]) ).

cnf(c264,plain,
    multiply(inverse(inverse(multiply(X2,inverse(X2)))),inverse(inverse(inverse(multiply(multiply(X,inverse(X)),X3))))) = inverse(X3),
    inference(transitivity,[status(thm)],[c202,c263]) ).

cnf(c265,plain,
    inverse(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X2,inverse(X2)))),inverse(inverse(inverse(multiply(multiply(X,inverse(X)),X4)))))),X3),inverse(X3))) = inverse(X4),
    inference(transitivity,[status(thm)],[c201,c264]) ).

cnf(c266,plain,
    inverse(multiply(multiply(X2,X),inverse(X))) = inverse(X2),
    inference(transitivity,[status(thm)],[c170,c265]) ).

cnf(c267,plain,
    inverse(inverse(multiply(multiply(X2,X),inverse(X)))) = inverse(inverse(X2)),
    inference(congruence,[status(thm)],[c266]) ).

cnf(c268,plain,
    inverse(inverse(inverse(multiply(multiply(X2,X),inverse(X))))) = inverse(inverse(inverse(X2))),
    inference(congruence,[status(thm)],[c267]) ).

cnf(c269,plain,
    inverse(inverse(inverse(inverse(multiply(multiply(X2,X),inverse(X)))))) = inverse(inverse(inverse(inverse(X2)))),
    inference(congruence,[status(thm)],[c268]) ).

cnf(c270,plain,
    inverse(inverse(inverse(inverse(multiply(multiply(X2,X),inverse(X)))))) = X2,
    inference(transitivity,[status(thm)],[c269,c163]) ).

cnf(c271,plain,
    multiply(multiply(X2,X),inverse(X)) = X2,
    inference(transitivity,[status(thm)],[c165,c270]) ).

cnf(c272,plain,
    multiply(multiply(inverse(multiply(X2,X)),X2),inverse(X2)) = inverse(multiply(X2,X)),
    inference(substitution,[status(thm)],[c271]) ).

cnf(c273,plain,
    inverse(multiply(X2,X)) = multiply(multiply(inverse(multiply(X2,X)),X2),inverse(X2)),
    inference(symmetry,[status(thm)],[c272]) ).

cnf(c274,plain,
    inverse(inverse(inverse(inverse(multiply(inverse(multiply(X2,X)),X2))))) = multiply(inverse(multiply(X2,X)),X2),
    inference(substitution,[status(thm)],[c163]) ).

cnf(c275,plain,
    multiply(inverse(multiply(X2,X)),X2) = inverse(inverse(inverse(inverse(multiply(inverse(multiply(X2,X)),X2))))),
    inference(symmetry,[status(thm)],[c274]) ).

cnf(c276,plain,
    inverse(multiply(multiply(inverse(multiply(X3,X2)),X3),multiply(X,inverse(X)))) = inverse(multiply(inverse(multiply(X3,X2)),X3)),
    inference(substitution,[status(thm)],[c195]) ).

cnf(c277,plain,
    inverse(multiply(inverse(multiply(X3,X2)),X3)) = inverse(multiply(multiply(inverse(multiply(X3,X2)),X3),multiply(X,inverse(X)))),
    inference(symmetry,[status(thm)],[c276]) ).

cnf(c278,plain,
    inverse(inverse(inverse(inverse(multiply(X2,multiply(X,inverse(X))))))) = multiply(X2,multiply(X,inverse(X))),
    inference(substitution,[status(thm)],[c163]) ).

cnf(c279,plain,
    multiply(X2,multiply(X,inverse(X))) = inverse(inverse(inverse(inverse(multiply(X2,multiply(X,inverse(X))))))),
    inference(symmetry,[status(thm)],[c278]) ).

cnf(c280,plain,
    inverse(inverse(multiply(X2,multiply(X,inverse(X))))) = inverse(inverse(X2)),
    inference(congruence,[status(thm)],[c195]) ).

cnf(c281,plain,
    inverse(inverse(inverse(multiply(X2,multiply(X,inverse(X)))))) = inverse(inverse(inverse(X2))),
    inference(congruence,[status(thm)],[c280]) ).

cnf(c282,plain,
    inverse(inverse(inverse(inverse(multiply(X2,multiply(X,inverse(X))))))) = inverse(inverse(inverse(inverse(X2)))),
    inference(congruence,[status(thm)],[c281]) ).

cnf(c283,plain,
    inverse(inverse(inverse(inverse(multiply(X2,multiply(X,inverse(X))))))) = X2,
    inference(transitivity,[status(thm)],[c282,c163]) ).

cnf(c284,plain,
    multiply(X2,multiply(X,inverse(X))) = X2,
    inference(transitivity,[status(thm)],[c279,c283]) ).

cnf(c285,plain,
    X2 = multiply(X2,multiply(X,inverse(X))),
    inference(symmetry,[status(thm)],[c284]) ).

cnf(c286,plain,
    multiply(X3,X2) = multiply(multiply(X3,multiply(X,inverse(X))),X2),
    inference(congruence,[status(thm)],[c285]) ).

cnf(c287,plain,
    inverse(multiply(X3,X2)) = inverse(multiply(multiply(X3,multiply(X,inverse(X))),X2)),
    inference(congruence,[status(thm)],[c286]) ).

cnf(c288,plain,
    multiply(inverse(multiply(X3,X2)),X3) = multiply(inverse(multiply(multiply(X3,multiply(X,inverse(X))),X2)),X3),
    inference(congruence,[status(thm)],[c287]) ).

cnf(c289,plain,
    multiply(multiply(inverse(multiply(X4,X3)),X4),multiply(X2,inverse(X2))) = multiply(multiply(inverse(multiply(multiply(X4,multiply(X,inverse(X))),X3)),X4),multiply(X2,inverse(X2))),
    inference(congruence,[status(thm)],[c288]) ).

cnf(c290,plain,
    inverse(multiply(multiply(inverse(multiply(X4,X3)),X4),multiply(X2,inverse(X2)))) = inverse(multiply(multiply(inverse(multiply(multiply(X4,multiply(X,inverse(X))),X3)),X4),multiply(X2,inverse(X2)))),
    inference(congruence,[status(thm)],[c289]) ).

cnf(c291,plain,
    multiply(multiply(inverse(multiply(multiply(X3,multiply(X,inverse(X))),X2)),X3),multiply(X,inverse(X))) = multiply(inverse(multiply(multiply(X3,multiply(X,inverse(X))),X2)),X3),
    inference(substitution,[status(thm)],[c284]) ).

cnf(c292,plain,
    multiply(inverse(multiply(multiply(X3,multiply(X,inverse(X))),X2)),X3) = multiply(multiply(inverse(multiply(multiply(X3,multiply(X,inverse(X))),X2)),X3),multiply(X,inverse(X))),
    inference(symmetry,[status(thm)],[c291]) ).

cnf(c293,plain,
    multiply(multiply(inverse(multiply(multiply(X4,multiply(X,inverse(X))),X3)),X4),multiply(X2,inverse(X2))) = multiply(multiply(multiply(inverse(multiply(multiply(X4,multiply(X,inverse(X))),X3)),X4),multiply(X,inverse(X))),multiply(X2,inverse(X2))),
    inference(congruence,[status(thm)],[c292]) ).

cnf(c294,plain,
    inverse(multiply(multiply(inverse(multiply(multiply(X4,multiply(X,inverse(X))),X3)),X4),multiply(X2,inverse(X2)))) = inverse(multiply(multiply(multiply(inverse(multiply(multiply(X4,multiply(X,inverse(X))),X3)),X4),multiply(X,inverse(X))),multiply(X2,inverse(X2)))),
    inference(congruence,[status(thm)],[c293]) ).

cnf(c295,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(multiply(X4,multiply(X,inverse(X))),X3)),X4),multiply(X,inverse(X))),multiply(X2,inverse(X2)))) = X3,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c296,plain,
    inverse(multiply(multiply(inverse(multiply(multiply(X4,multiply(X,inverse(X))),X3)),X4),multiply(X2,inverse(X2)))) = X3,
    inference(transitivity,[status(thm)],[c294,c295]) ).

cnf(c297,plain,
    inverse(multiply(multiply(inverse(multiply(X3,X2)),X3),multiply(X,inverse(X)))) = X2,
    inference(transitivity,[status(thm)],[c290,c296]) ).

cnf(c298,plain,
    inverse(multiply(inverse(multiply(X2,X)),X2)) = X,
    inference(transitivity,[status(thm)],[c277,c297]) ).

cnf(c299,plain,
    inverse(inverse(multiply(inverse(multiply(X2,X)),X2))) = inverse(X),
    inference(congruence,[status(thm)],[c298]) ).

cnf(c300,plain,
    inverse(inverse(inverse(multiply(inverse(multiply(X2,X)),X2)))) = inverse(inverse(X)),
    inference(congruence,[status(thm)],[c299]) ).

cnf(c301,plain,
    inverse(inverse(inverse(inverse(multiply(inverse(multiply(X2,X)),X2))))) = inverse(inverse(inverse(X))),
    inference(congruence,[status(thm)],[c300]) ).

cnf(c302,plain,
    inverse(inverse(inverse(X))) = inverse(X),
    inference(substitution,[status(thm)],[c259]) ).

cnf(c303,plain,
    inverse(inverse(inverse(inverse(multiply(inverse(multiply(X2,X)),X2))))) = inverse(X),
    inference(transitivity,[status(thm)],[c301,c302]) ).

cnf(c304,plain,
    multiply(inverse(multiply(X2,X)),X2) = inverse(X),
    inference(transitivity,[status(thm)],[c275,c303]) ).

cnf(c305,plain,
    multiply(multiply(inverse(multiply(X2,X)),X2),inverse(X2)) = multiply(inverse(X),inverse(X2)),
    inference(congruence,[status(thm)],[c304]) ).

cnf(c306,plain,
    inverse(multiply(X2,X)) = multiply(inverse(X),inverse(X2)),
    inference(transitivity,[status(thm)],[c273,c305]) ).

cnf(c307,plain,
    inverse(multiply(X,X2)) = multiply(inverse(X2),inverse(X)),
    inference(substitution,[status(thm)],[c306]) ).

cnf(c308,plain,
    multiply(inverse(X2),inverse(X)) = inverse(multiply(X,X2)),
    inference(symmetry,[status(thm)],[c307]) ).

cnf(c309,plain,
    multiply(multiply(inverse(X3),inverse(X2)),X) = multiply(inverse(multiply(X2,X3)),X),
    inference(congruence,[status(thm)],[c308]) ).

cnf(c310,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X4),multiply(inverse(multiply(X3,X4)),X2))),X3),X4),multiply(X,inverse(X)))) = multiply(inverse(multiply(X3,X4)),X2),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c311,plain,
    multiply(inverse(multiply(X3,X4)),X2) = inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X4),multiply(inverse(multiply(X3,X4)),X2))),X3),X4),multiply(X,inverse(X)))),
    inference(symmetry,[status(thm)],[c310]) ).

cnf(c312,plain,
    X2 = inverse(multiply(multiply(inverse(X2),X),inverse(X))),
    inference(symmetry,[status(thm)],[c200]) ).

cnf(c313,plain,
    multiply(X2,multiply(inverse(X2),X)) = multiply(inverse(multiply(multiply(inverse(X2),X),inverse(X))),multiply(inverse(X2),X)),
    inference(congruence,[status(thm)],[c312]) ).

cnf(c314,plain,
    multiply(inverse(multiply(multiply(inverse(X2),X),inverse(X))),multiply(inverse(X2),X)) = inverse(inverse(X)),
    inference(substitution,[status(thm)],[c304]) ).

cnf(c315,plain,
    multiply(inverse(multiply(multiply(inverse(X2),X),inverse(X))),multiply(inverse(X2),X)) = X,
    inference(transitivity,[status(thm)],[c314,c259]) ).

cnf(c316,plain,
    multiply(X2,multiply(inverse(X2),X)) = X,
    inference(transitivity,[status(thm)],[c313,c315]) ).

cnf(c317,plain,
    multiply(multiply(X2,X3),multiply(inverse(multiply(X2,X3)),X)) = X,
    inference(substitution,[status(thm)],[c316]) ).

cnf(c318,plain,
    inverse(multiply(multiply(X2,X3),multiply(inverse(multiply(X2,X3)),X))) = inverse(X),
    inference(congruence,[status(thm)],[c317]) ).

cnf(c319,plain,
    multiply(inverse(multiply(multiply(X2,X3),multiply(inverse(multiply(X2,X3)),X))),X2) = multiply(inverse(X),X2),
    inference(congruence,[status(thm)],[c318]) ).

cnf(c320,plain,
    multiply(multiply(inverse(multiply(multiply(X2,X3),multiply(inverse(multiply(X2,X3)),X))),X2),X3) = multiply(multiply(inverse(X),X2),X3),
    inference(congruence,[status(thm)],[c319]) ).

cnf(c321,plain,
    multiply(multiply(multiply(inverse(multiply(multiply(X3,X4),multiply(inverse(multiply(X3,X4)),X2))),X3),X4),multiply(X,inverse(X))) = multiply(multiply(multiply(inverse(X2),X3),X4),multiply(X,inverse(X))),
    inference(congruence,[status(thm)],[c320]) ).

cnf(c322,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X4),multiply(inverse(multiply(X3,X4)),X2))),X3),X4),multiply(X,inverse(X)))) = inverse(multiply(multiply(multiply(inverse(X2),X3),X4),multiply(X,inverse(X)))),
    inference(congruence,[status(thm)],[c321]) ).

cnf(c323,plain,
    inverse(multiply(multiply(multiply(inverse(X2),X3),X4),multiply(X,inverse(X)))) = multiply(inverse(multiply(X,inverse(X))),inverse(multiply(multiply(inverse(X2),X3),X4))),
    inference(substitution,[status(thm)],[c306]) ).

cnf(c324,plain,
    inverse(multiply(X,inverse(X))) = multiply(inverse(inverse(X)),inverse(X)),
    inference(substitution,[status(thm)],[c306]) ).

cnf(c325,plain,
    multiply(inverse(multiply(X,inverse(X))),inverse(multiply(multiply(inverse(X2),X3),X4))) = multiply(multiply(inverse(inverse(X)),inverse(X)),inverse(multiply(multiply(inverse(X2),X3),X4))),
    inference(congruence,[status(thm)],[c324]) ).

cnf(c326,plain,
    inverse(multiply(X,X2)) = multiply(inverse(X2),inverse(X)),
    inference(substitution,[status(thm)],[c306]) ).

cnf(c327,plain,
    multiply(inverse(X2),inverse(X)) = inverse(multiply(X,X2)),
    inference(symmetry,[status(thm)],[c326]) ).

cnf(c328,plain,
    multiply(multiply(inverse(X3),inverse(X2)),inverse(X)) = multiply(inverse(multiply(X2,X3)),inverse(X)),
    inference(congruence,[status(thm)],[c327]) ).

cnf(c329,plain,
    inverse(multiply(X,multiply(X2,X3))) = multiply(inverse(multiply(X2,X3)),inverse(X)),
    inference(substitution,[status(thm)],[c306]) ).

cnf(c330,plain,
    multiply(inverse(multiply(X2,X3)),inverse(X)) = inverse(multiply(X,multiply(X2,X3))),
    inference(symmetry,[status(thm)],[c329]) ).

cnf(c331,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X4),inverse(multiply(X2,multiply(X3,X4))))),X3),X4),multiply(X,inverse(X)))) = inverse(multiply(X2,multiply(X3,X4))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c332,plain,
    inverse(multiply(X2,multiply(X3,X4))) = inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X4),inverse(multiply(X2,multiply(X3,X4))))),X3),X4),multiply(X,inverse(X)))),
    inference(symmetry,[status(thm)],[c331]) ).

cnf(c333,plain,
    inverse(multiply(inverse(multiply(X,X2)),X)) = X2,
    inference(substitution,[status(thm)],[c298]) ).

cnf(c334,plain,
    X2 = inverse(multiply(inverse(multiply(X,X2)),X)),
    inference(symmetry,[status(thm)],[c333]) ).

cnf(c335,plain,
    multiply(X2,inverse(multiply(X,X2))) = multiply(inverse(multiply(inverse(multiply(X,X2)),X)),inverse(multiply(X,X2))),
    inference(congruence,[status(thm)],[c334]) ).

cnf(c336,plain,
    multiply(inverse(multiply(inverse(multiply(X,X2)),X)),inverse(multiply(X,X2))) = inverse(X),
    inference(substitution,[status(thm)],[c304]) ).

cnf(c337,plain,
    multiply(X2,inverse(multiply(X,X2))) = inverse(X),
    inference(transitivity,[status(thm)],[c335,c336]) ).

cnf(c338,plain,
    multiply(multiply(X2,X3),inverse(multiply(X,multiply(X2,X3)))) = inverse(X),
    inference(substitution,[status(thm)],[c337]) ).

cnf(c339,plain,
    inverse(multiply(multiply(X2,X3),inverse(multiply(X,multiply(X2,X3))))) = inverse(inverse(X)),
    inference(congruence,[status(thm)],[c338]) ).

cnf(c340,plain,
    multiply(inverse(multiply(multiply(X2,X3),inverse(multiply(X,multiply(X2,X3))))),X2) = multiply(inverse(inverse(X)),X2),
    inference(congruence,[status(thm)],[c339]) ).

cnf(c341,plain,
    multiply(multiply(inverse(multiply(multiply(X2,X3),inverse(multiply(X,multiply(X2,X3))))),X2),X3) = multiply(multiply(inverse(inverse(X)),X2),X3),
    inference(congruence,[status(thm)],[c340]) ).

cnf(c342,plain,
    multiply(multiply(multiply(inverse(multiply(multiply(X3,X4),inverse(multiply(X2,multiply(X3,X4))))),X3),X4),multiply(X,inverse(X))) = multiply(multiply(multiply(inverse(inverse(X2)),X3),X4),multiply(X,inverse(X))),
    inference(congruence,[status(thm)],[c341]) ).

cnf(c343,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X4),inverse(multiply(X2,multiply(X3,X4))))),X3),X4),multiply(X,inverse(X)))) = inverse(multiply(multiply(multiply(inverse(inverse(X2)),X3),X4),multiply(X,inverse(X)))),
    inference(congruence,[status(thm)],[c342]) ).

cnf(c344,plain,
    inverse(multiply(multiply(multiply(inverse(inverse(X2)),X3),X4),multiply(X,inverse(X)))) = multiply(inverse(multiply(X,inverse(X))),inverse(multiply(multiply(inverse(inverse(X2)),X3),X4))),
    inference(substitution,[status(thm)],[c306]) ).

cnf(c345,plain,
    inverse(multiply(X,inverse(X))) = multiply(inverse(inverse(X)),inverse(X)),
    inference(substitution,[status(thm)],[c306]) ).

cnf(c346,plain,
    multiply(inverse(multiply(X,inverse(X))),inverse(multiply(multiply(inverse(inverse(X2)),X3),X4))) = multiply(multiply(inverse(inverse(X)),inverse(X)),inverse(multiply(multiply(inverse(inverse(X2)),X3),X4))),
    inference(congruence,[status(thm)],[c345]) ).

cnf(c347,plain,
    multiply(inverse(inverse(X2)),inverse(X2)) = multiply(X,inverse(X)),
    inference(substitution,[status(thm)],[c249]) ).

cnf(c348,plain,
    multiply(multiply(inverse(inverse(X2)),inverse(X2)),inverse(multiply(multiply(inverse(inverse(X3)),X4),X5))) = multiply(multiply(X,inverse(X)),inverse(multiply(multiply(inverse(inverse(X3)),X4),X5))),
    inference(congruence,[status(thm)],[c347]) ).

cnf(c349,plain,
    multiply(multiply(X,inverse(X)),inverse(multiply(multiply(inverse(inverse(X2)),X3),X4))) = inverse(multiply(multiply(inverse(inverse(X2)),X3),X4)),
    inference(substitution,[status(thm)],[c187]) ).

cnf(c350,plain,
    inverse(multiply(multiply(inverse(inverse(X)),X2),X3)) = multiply(inverse(X3),inverse(multiply(inverse(inverse(X)),X2))),
    inference(substitution,[status(thm)],[c306]) ).

cnf(c351,plain,
    inverse(multiply(inverse(inverse(X)),X2)) = multiply(inverse(X2),inverse(inverse(inverse(X)))),
    inference(substitution,[status(thm)],[c306]) ).

cnf(c352,plain,
    multiply(inverse(X3),inverse(multiply(inverse(inverse(X)),X2))) = multiply(inverse(X3),multiply(inverse(X2),inverse(inverse(inverse(X))))),
    inference(congruence,[status(thm)],[c351]) ).

cnf(c353,plain,
    inverse(inverse(inverse(X))) = inverse(X),
    inference(substitution,[status(thm)],[c259]) ).

cnf(c354,plain,
    multiply(inverse(X2),inverse(inverse(inverse(X)))) = multiply(inverse(X2),inverse(X)),
    inference(congruence,[status(thm)],[c353]) ).

cnf(c355,plain,
    multiply(inverse(X3),multiply(inverse(X2),inverse(inverse(inverse(X))))) = multiply(inverse(X3),multiply(inverse(X2),inverse(X))),
    inference(congruence,[status(thm)],[c354]) ).

cnf(c356,plain,
    multiply(inverse(X3),inverse(multiply(inverse(inverse(X)),X2))) = multiply(inverse(X3),multiply(inverse(X2),inverse(X))),
    inference(transitivity,[status(thm)],[c352,c355]) ).

cnf(c357,plain,
    inverse(multiply(multiply(inverse(inverse(X)),X2),X3)) = multiply(inverse(X3),multiply(inverse(X2),inverse(X))),
    inference(transitivity,[status(thm)],[c350,c356]) ).

cnf(c358,plain,
    multiply(multiply(X,inverse(X)),inverse(multiply(multiply(inverse(inverse(X2)),X3),X4))) = multiply(inverse(X4),multiply(inverse(X3),inverse(X2))),
    inference(transitivity,[status(thm)],[c349,c357]) ).

cnf(c359,plain,
    multiply(multiply(inverse(inverse(X)),inverse(X)),inverse(multiply(multiply(inverse(inverse(X2)),X3),X4))) = multiply(inverse(X4),multiply(inverse(X3),inverse(X2))),
    inference(transitivity,[status(thm)],[c348,c358]) ).

cnf(c360,plain,
    multiply(inverse(multiply(X,inverse(X))),inverse(multiply(multiply(inverse(inverse(X2)),X3),X4))) = multiply(inverse(X4),multiply(inverse(X3),inverse(X2))),
    inference(transitivity,[status(thm)],[c346,c359]) ).

cnf(c361,plain,
    inverse(multiply(multiply(multiply(inverse(inverse(X2)),X3),X4),multiply(X,inverse(X)))) = multiply(inverse(X4),multiply(inverse(X3),inverse(X2))),
    inference(transitivity,[status(thm)],[c344,c360]) ).

cnf(c362,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X4),inverse(multiply(X2,multiply(X3,X4))))),X3),X4),multiply(X,inverse(X)))) = multiply(inverse(X4),multiply(inverse(X3),inverse(X2))),
    inference(transitivity,[status(thm)],[c343,c361]) ).

cnf(c363,plain,
    inverse(multiply(X,multiply(X2,X3))) = multiply(inverse(X3),multiply(inverse(X2),inverse(X))),
    inference(transitivity,[status(thm)],[c332,c362]) ).

cnf(c364,plain,
    multiply(inverse(multiply(X2,X3)),inverse(X)) = multiply(inverse(X3),multiply(inverse(X2),inverse(X))),
    inference(transitivity,[status(thm)],[c330,c363]) ).

cnf(c365,plain,
    multiply(multiply(inverse(X3),inverse(X2)),inverse(X)) = multiply(inverse(X3),multiply(inverse(X2),inverse(X))),
    inference(transitivity,[status(thm)],[c328,c364]) ).

cnf(c366,plain,
    multiply(multiply(inverse(inverse(X)),inverse(X)),inverse(multiply(multiply(inverse(X2),X3),X4))) = multiply(inverse(inverse(X)),multiply(inverse(X),inverse(multiply(multiply(inverse(X2),X3),X4)))),
    inference(substitution,[status(thm)],[c365]) ).

cnf(c367,plain,
    inverse(X2) = inverse(multiply(multiply(X2,X),inverse(X))),
    inference(symmetry,[status(thm)],[c266]) ).

cnf(c368,plain,
    multiply(inverse(X2),multiply(X2,X)) = multiply(inverse(multiply(multiply(X2,X),inverse(X))),multiply(X2,X)),
    inference(congruence,[status(thm)],[c367]) ).

cnf(c369,plain,
    multiply(inverse(multiply(multiply(X2,X),inverse(X))),multiply(X2,X)) = inverse(inverse(X)),
    inference(substitution,[status(thm)],[c304]) ).

cnf(c370,plain,
    multiply(inverse(multiply(multiply(X2,X),inverse(X))),multiply(X2,X)) = X,
    inference(transitivity,[status(thm)],[c369,c259]) ).

cnf(c371,plain,
    multiply(inverse(X2),multiply(X2,X)) = X,
    inference(transitivity,[status(thm)],[c368,c370]) ).

cnf(c372,plain,
    multiply(inverse(inverse(X)),multiply(inverse(X),inverse(multiply(multiply(inverse(X2),X3),X4)))) = inverse(multiply(multiply(inverse(X2),X3),X4)),
    inference(substitution,[status(thm)],[c371]) ).

cnf(c373,plain,
    inverse(multiply(multiply(inverse(X),X2),X3)) = multiply(inverse(X3),inverse(multiply(inverse(X),X2))),
    inference(substitution,[status(thm)],[c306]) ).

cnf(c374,plain,
    inverse(multiply(inverse(X),X2)) = multiply(inverse(X2),inverse(inverse(X))),
    inference(substitution,[status(thm)],[c306]) ).

cnf(c375,plain,
    multiply(inverse(X3),inverse(multiply(inverse(X),X2))) = multiply(inverse(X3),multiply(inverse(X2),inverse(inverse(X)))),
    inference(congruence,[status(thm)],[c374]) ).

cnf(c376,plain,
    multiply(inverse(X2),inverse(inverse(X))) = multiply(inverse(X2),X),
    inference(congruence,[status(thm)],[c259]) ).

cnf(c377,plain,
    multiply(inverse(X3),multiply(inverse(X2),inverse(inverse(X)))) = multiply(inverse(X3),multiply(inverse(X2),X)),
    inference(congruence,[status(thm)],[c376]) ).

cnf(c378,plain,
    multiply(inverse(X3),inverse(multiply(inverse(X),X2))) = multiply(inverse(X3),multiply(inverse(X2),X)),
    inference(transitivity,[status(thm)],[c375,c377]) ).

cnf(c379,plain,
    inverse(multiply(multiply(inverse(X),X2),X3)) = multiply(inverse(X3),multiply(inverse(X2),X)),
    inference(transitivity,[status(thm)],[c373,c378]) ).

cnf(c380,plain,
    multiply(inverse(inverse(X)),multiply(inverse(X),inverse(multiply(multiply(inverse(X2),X3),X4)))) = multiply(inverse(X4),multiply(inverse(X3),X2)),
    inference(transitivity,[status(thm)],[c372,c379]) ).

cnf(c381,plain,
    multiply(multiply(inverse(inverse(X)),inverse(X)),inverse(multiply(multiply(inverse(X2),X3),X4))) = multiply(inverse(X4),multiply(inverse(X3),X2)),
    inference(transitivity,[status(thm)],[c366,c380]) ).

cnf(c382,plain,
    multiply(inverse(multiply(X,inverse(X))),inverse(multiply(multiply(inverse(X2),X3),X4))) = multiply(inverse(X4),multiply(inverse(X3),X2)),
    inference(transitivity,[status(thm)],[c325,c381]) ).

cnf(c383,plain,
    inverse(multiply(multiply(multiply(inverse(X2),X3),X4),multiply(X,inverse(X)))) = multiply(inverse(X4),multiply(inverse(X3),X2)),
    inference(transitivity,[status(thm)],[c323,c382]) ).

cnf(c384,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X4),multiply(inverse(multiply(X3,X4)),X2))),X3),X4),multiply(X,inverse(X)))) = multiply(inverse(X4),multiply(inverse(X3),X2)),
    inference(transitivity,[status(thm)],[c322,c383]) ).

cnf(c385,plain,
    multiply(inverse(multiply(X2,X3)),X) = multiply(inverse(X3),multiply(inverse(X2),X)),
    inference(transitivity,[status(thm)],[c311,c384]) ).

cnf(c386,plain,
    multiply(multiply(inverse(X3),inverse(X2)),X) = multiply(inverse(X3),multiply(inverse(X2),X)),
    inference(transitivity,[status(thm)],[c309,c385]) ).

cnf(c387,plain,
    multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),X6)),X3),X2),multiply(X,inverse(X)))),inverse(X5)),X4) = multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),X6)),X3),X2),multiply(X,inverse(X)))),multiply(inverse(X5),X4)),
    inference(substitution,[status(thm)],[c386]) ).

cnf(c388,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),X4)),X3),X2),multiply(X,inverse(X)))) = X4,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c389,plain,
    multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),X6)),X3),X2),multiply(X,inverse(X)))),multiply(inverse(X5),X4)) = multiply(X6,multiply(inverse(X5),X4)),
    inference(congruence,[status(thm)],[c388]) ).

cnf(c390,plain,
    multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),X6)),X3),X2),multiply(X,inverse(X)))),inverse(X5)),X4) = multiply(X6,multiply(inverse(X5),X4)),
    inference(transitivity,[status(thm)],[c387,c389]) ).

cnf(c391,plain,
    multiply(multiply(X3,inverse(X2)),X) = multiply(X3,multiply(inverse(X2),X)),
    inference(transitivity,[status(thm)],[c10,c390]) ).

cnf(c392,plain,
    multiply(multiply(X6,inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),X5)),X3),X2),multiply(X,inverse(X))))),X4) = multiply(X6,multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),X5)),X3),X2),multiply(X,inverse(X)))),X4)),
    inference(substitution,[status(thm)],[c391]) ).

cnf(c393,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),X4)),X3),X2),multiply(X,inverse(X)))) = X4,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c394,plain,
    multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),X5)),X3),X2),multiply(X,inverse(X)))),X4) = multiply(X5,X4),
    inference(congruence,[status(thm)],[c393]) ).

cnf(c395,plain,
    multiply(X6,multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),X5)),X3),X2),multiply(X,inverse(X)))),X4)) = multiply(X6,multiply(X5,X4)),
    inference(congruence,[status(thm)],[c394]) ).

cnf(c396,plain,
    multiply(multiply(X6,inverse(multiply(multiply(multiply(inverse(multiply(multiply(X3,X2),X5)),X3),X2),multiply(X,inverse(X))))),X4) = multiply(X6,multiply(X5,X4)),
    inference(transitivity,[status(thm)],[c392,c395]) ).

cnf(c397,plain,
    multiply(multiply(X3,X2),X) = multiply(X3,multiply(X2,X)),
    inference(transitivity,[status(thm)],[c6,c396]) ).

cnf(c398,plain,
    multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
    inference(substitution,[status(thm)],[c397]) ).

cnf(c399,plain,
    $false,
    inference(resolution,[status(thm)],[c1,c398]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP435-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04  % Command  : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37  % Computer : n003.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sun Sep 27 10:06:25 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.38  Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.49  Command-line arguments: --no-flatten-goal
% 0.10/0.49  
% 0.10/0.49  % SZS status Unsatisfiable
% 0.10/0.49  
% 0.53/0.53  % SZS output start CNFRefutation
% See solution above
% 1.87/0.79  
% 1.87/0.79  RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------