Twee---2.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : GRP442-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n012.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 10:10:29 AM UTC 2026

% Result   : Unsatisfiable 0.07s 0.42s
% Output   : CNFRefutation 2.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  135
%            Number of leaves      :    2
% Syntax   : Number of clauses     :  549 ( 549 unt;   0 nHn;   3 RR)
%            Number of literals    :  549 ( 548 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   16 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   : 2096 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).

cnf(c2,axiom,
    inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(multiply(D,multiply(A,B))))))) = D,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

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

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

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

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

cnf(c7,plain,
    multiply(X5,multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,X5)))),multiply(multiply(X,inverse(X)),X3))) = multiply(X5,multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,X5)))),multiply(multiply(X,inverse(X)),inverse(multiply(X2,multiply(X5,multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,X5)))))))))),
    inference(congruence,[status(thm)],[c6]) ).

cnf(c8,plain,
    inverse(multiply(X5,multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,X5)))),multiply(multiply(X,inverse(X)),X3)))) = inverse(multiply(X5,multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,X5)))),multiply(multiply(X,inverse(X)),inverse(multiply(X2,multiply(X5,multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,X5))))))))))),
    inference(congruence,[status(thm)],[c7]) ).

cnf(c9,plain,
    inverse(multiply(X5,multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,X5)))),multiply(multiply(X,inverse(X)),inverse(multiply(X2,multiply(X5,multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,X5))))))))))) = X2,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c10,plain,
    inverse(multiply(X5,multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,X5)))),multiply(multiply(X,inverse(X)),X3)))) = X2,
    inference(transitivity,[status(thm)],[c8,c9]) ).

cnf(c11,plain,
    inverse(multiply(inverse(multiply(X3,multiply(X2,X))),multiply(multiply(multiply(X7,inverse(X7)),inverse(multiply(X6,multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,X))))))),multiply(multiply(X5,inverse(X5)),X6)))) = multiply(X4,inverse(X4)),
    inference(substitution,[status(thm)],[c10]) ).

cnf(c12,plain,
    multiply(X7,inverse(X7)) = inverse(multiply(inverse(multiply(X6,multiply(X5,X4))),multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(multiply(X7,inverse(X7)),inverse(multiply(X6,multiply(X5,X4))))))),multiply(multiply(X,inverse(X)),X2)))),
    inference(symmetry,[status(thm)],[c11]) ).

cnf(c13,plain,
    inverse(multiply(multiply(multiply(X3,inverse(X3)),X7),multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X5,multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X7,multiply(X6,X5)))),multiply(multiply(X3,inverse(X3)),X7))))),multiply(multiply(X,inverse(X)),X5)))) = multiply(multiply(X4,inverse(X4)),inverse(multiply(X7,multiply(X6,X5)))),
    inference(substitution,[status(thm)],[c10]) ).

cnf(c14,plain,
    multiply(multiply(X4,inverse(X4)),inverse(multiply(X7,multiply(X6,X5)))) = inverse(multiply(multiply(multiply(X3,inverse(X3)),X7),multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X5,multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X7,multiply(X6,X5)))),multiply(multiply(X3,inverse(X3)),X7))))),multiply(multiply(X,inverse(X)),X5)))),
    inference(symmetry,[status(thm)],[c13]) ).

cnf(c15,plain,
    inverse(multiply(X3,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X5,multiply(X4,X3)))),multiply(multiply(X,inverse(X)),X5)))) = X4,
    inference(substitution,[status(thm)],[c10]) ).

cnf(c16,plain,
    multiply(multiply(X,inverse(X)),inverse(multiply(X4,multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X6,multiply(X5,X4)))),multiply(multiply(X2,inverse(X2)),X6))))) = multiply(multiply(X,inverse(X)),X5),
    inference(congruence,[status(thm)],[c15]) ).

cnf(c17,plain,
    multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X5,multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X7,multiply(X6,X5)))),multiply(multiply(X3,inverse(X3)),X7))))),multiply(multiply(X,inverse(X)),X5)) = multiply(multiply(multiply(X2,inverse(X2)),X6),multiply(multiply(X,inverse(X)),X5)),
    inference(congruence,[status(thm)],[c16]) ).

cnf(c18,plain,
    multiply(multiply(multiply(X3,inverse(X3)),X7),multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X5,multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X7,multiply(X6,X5)))),multiply(multiply(X3,inverse(X3)),X7))))),multiply(multiply(X,inverse(X)),X5))) = multiply(multiply(multiply(X3,inverse(X3)),X7),multiply(multiply(multiply(X2,inverse(X2)),X6),multiply(multiply(X,inverse(X)),X5))),
    inference(congruence,[status(thm)],[c17]) ).

cnf(c19,plain,
    inverse(multiply(multiply(multiply(X3,inverse(X3)),X7),multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X5,multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X7,multiply(X6,X5)))),multiply(multiply(X3,inverse(X3)),X7))))),multiply(multiply(X,inverse(X)),X5)))) = inverse(multiply(multiply(multiply(X3,inverse(X3)),X7),multiply(multiply(multiply(X2,inverse(X2)),X6),multiply(multiply(X,inverse(X)),X5)))),
    inference(congruence,[status(thm)],[c18]) ).

cnf(c20,plain,
    inverse(multiply(X2,multiply(multiply(multiply(X5,inverse(X5)),inverse(multiply(X4,multiply(X3,X2)))),multiply(multiply(X,inverse(X)),X4)))) = X3,
    inference(substitution,[status(thm)],[c10]) ).

cnf(c21,plain,
    X3 = inverse(multiply(X2,multiply(multiply(multiply(X5,inverse(X5)),inverse(multiply(X4,multiply(X3,X2)))),multiply(multiply(X,inverse(X)),X4)))),
    inference(symmetry,[status(thm)],[c20]) ).

cnf(c22,plain,
    multiply(multiply(X,inverse(X)),X4) = multiply(multiply(X,inverse(X)),inverse(multiply(X3,multiply(multiply(multiply(X6,inverse(X6)),inverse(multiply(X5,multiply(X4,X3)))),multiply(multiply(X2,inverse(X2)),X5))))),
    inference(congruence,[status(thm)],[c21]) ).

cnf(c23,plain,
    multiply(multiply(multiply(X2,inverse(X2)),X5),multiply(multiply(X,inverse(X)),X4)) = multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X4,multiply(multiply(multiply(X7,inverse(X7)),inverse(multiply(X6,multiply(X5,X4)))),multiply(multiply(X3,inverse(X3)),X6))))),multiply(multiply(X,inverse(X)),X4)),
    inference(congruence,[status(thm)],[c22]) ).

cnf(c24,plain,
    multiply(multiply(multiply(X3,inverse(X3)),X6),multiply(multiply(multiply(X2,inverse(X2)),X5),multiply(multiply(X,inverse(X)),X4))) = multiply(multiply(multiply(X3,inverse(X3)),X6),multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X4,multiply(multiply(multiply(X7,inverse(X7)),inverse(multiply(X6,multiply(X5,X4)))),multiply(multiply(X3,inverse(X3)),X6))))),multiply(multiply(X,inverse(X)),X4))),
    inference(congruence,[status(thm)],[c23]) ).

cnf(c25,plain,
    inverse(multiply(multiply(multiply(X3,inverse(X3)),X6),multiply(multiply(multiply(X2,inverse(X2)),X5),multiply(multiply(X,inverse(X)),X4)))) = inverse(multiply(multiply(multiply(X3,inverse(X3)),X6),multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X4,multiply(multiply(multiply(X7,inverse(X7)),inverse(multiply(X6,multiply(X5,X4)))),multiply(multiply(X3,inverse(X3)),X6))))),multiply(multiply(X,inverse(X)),X4)))),
    inference(congruence,[status(thm)],[c24]) ).

cnf(c26,plain,
    inverse(multiply(multiply(multiply(X3,inverse(X3)),X6),multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X4,multiply(multiply(multiply(X7,inverse(X7)),inverse(multiply(X6,multiply(X5,X4)))),multiply(multiply(X3,inverse(X3)),X6))))),multiply(multiply(X,inverse(X)),X4)))) = multiply(multiply(X7,inverse(X7)),inverse(multiply(X6,multiply(X5,X4)))),
    inference(substitution,[status(thm)],[c10]) ).

cnf(c27,plain,
    inverse(multiply(multiply(multiply(X3,inverse(X3)),X6),multiply(multiply(multiply(X2,inverse(X2)),X5),multiply(multiply(X,inverse(X)),X4)))) = multiply(multiply(X7,inverse(X7)),inverse(multiply(X6,multiply(X5,X4)))),
    inference(transitivity,[status(thm)],[c25,c26]) ).

cnf(c28,plain,
    inverse(multiply(multiply(multiply(X3,inverse(X3)),X7),multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X5,multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X7,multiply(X6,X5)))),multiply(multiply(X3,inverse(X3)),X7))))),multiply(multiply(X,inverse(X)),X5)))) = multiply(multiply(X8,inverse(X8)),inverse(multiply(X7,multiply(X6,X5)))),
    inference(transitivity,[status(thm)],[c19,c27]) ).

cnf(c29,plain,
    multiply(multiply(X,inverse(X)),inverse(multiply(X4,multiply(X3,X2)))) = multiply(multiply(X5,inverse(X5)),inverse(multiply(X4,multiply(X3,X2)))),
    inference(transitivity,[status(thm)],[c14,c28]) ).

cnf(c30,plain,
    multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,X)))) = multiply(multiply(X5,inverse(X5)),inverse(multiply(X3,multiply(X2,X)))),
    inference(substitution,[status(thm)],[c29]) ).

cnf(c31,plain,
    multiply(X,multiply(multiply(X5,inverse(X5)),inverse(multiply(X4,multiply(X3,X2))))) = multiply(X,multiply(multiply(X6,inverse(X6)),inverse(multiply(X4,multiply(X3,X2))))),
    inference(congruence,[status(thm)],[c30]) ).

cnf(c32,plain,
    inverse(multiply(X,multiply(multiply(X5,inverse(X5)),inverse(multiply(X4,multiply(X3,X2)))))) = inverse(multiply(X,multiply(multiply(X6,inverse(X6)),inverse(multiply(X4,multiply(X3,X2)))))),
    inference(congruence,[status(thm)],[c31]) ).

cnf(c33,plain,
    multiply(multiply(X2,inverse(X2)),inverse(multiply(X,multiply(multiply(X6,inverse(X6)),inverse(multiply(X5,multiply(X4,X3))))))) = multiply(multiply(X2,inverse(X2)),inverse(multiply(X,multiply(multiply(X7,inverse(X7)),inverse(multiply(X5,multiply(X4,X3))))))),
    inference(congruence,[status(thm)],[c32]) ).

cnf(c34,plain,
    multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(multiply(X7,inverse(X7)),inverse(multiply(X6,multiply(X5,X4))))))),multiply(multiply(X,inverse(X)),X2)) = multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(multiply(X8,inverse(X8)),inverse(multiply(X6,multiply(X5,X4))))))),multiply(multiply(X,inverse(X)),X2)),
    inference(congruence,[status(thm)],[c33]) ).

cnf(c35,plain,
    multiply(inverse(multiply(X6,multiply(X5,X4))),multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(multiply(X7,inverse(X7)),inverse(multiply(X6,multiply(X5,X4))))))),multiply(multiply(X,inverse(X)),X2))) = multiply(inverse(multiply(X6,multiply(X5,X4))),multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(multiply(X8,inverse(X8)),inverse(multiply(X6,multiply(X5,X4))))))),multiply(multiply(X,inverse(X)),X2))),
    inference(congruence,[status(thm)],[c34]) ).

cnf(c36,plain,
    inverse(multiply(inverse(multiply(X6,multiply(X5,X4))),multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(multiply(X7,inverse(X7)),inverse(multiply(X6,multiply(X5,X4))))))),multiply(multiply(X,inverse(X)),X2)))) = inverse(multiply(inverse(multiply(X6,multiply(X5,X4))),multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(multiply(X8,inverse(X8)),inverse(multiply(X6,multiply(X5,X4))))))),multiply(multiply(X,inverse(X)),X2)))),
    inference(congruence,[status(thm)],[c35]) ).

cnf(c37,plain,
    inverse(multiply(inverse(multiply(X6,multiply(X5,X4))),multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(multiply(X7,inverse(X7)),inverse(multiply(X6,multiply(X5,X4))))))),multiply(multiply(X,inverse(X)),X2)))) = multiply(X7,inverse(X7)),
    inference(substitution,[status(thm)],[c10]) ).

cnf(c38,plain,
    inverse(multiply(inverse(multiply(X6,multiply(X5,X4))),multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(multiply(X7,inverse(X7)),inverse(multiply(X6,multiply(X5,X4))))))),multiply(multiply(X,inverse(X)),X2)))) = multiply(X8,inverse(X8)),
    inference(transitivity,[status(thm)],[c36,c37]) ).

cnf(c39,plain,
    multiply(X,inverse(X)) = multiply(X2,inverse(X2)),
    inference(transitivity,[status(thm)],[c12,c38]) ).

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

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

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

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

cnf(c44,plain,
    multiply(X4,multiply(inverse(X4),multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(X,inverse(X))))))) = multiply(X4,multiply(inverse(X4),multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(X4,inverse(X4))))))),
    inference(congruence,[status(thm)],[c43]) ).

cnf(c45,plain,
    inverse(multiply(X4,multiply(inverse(X4),multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(X,inverse(X)))))))) = inverse(multiply(X4,multiply(inverse(X4),multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(X4,inverse(X4)))))))),
    inference(congruence,[status(thm)],[c44]) ).

cnf(c46,plain,
    inverse(multiply(X3,multiply(inverse(X3),multiply(multiply(X2,inverse(X2)),inverse(multiply(X,multiply(X3,inverse(X3)))))))) = X,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c47,plain,
    inverse(multiply(X4,multiply(inverse(X4),multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(X,inverse(X)))))))) = X2,
    inference(transitivity,[status(thm)],[c45,c46]) ).

cnf(c48,plain,
    inverse(multiply(X3,multiply(inverse(X3),multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X5,multiply(X4,inverse(X4)))),multiply(X,inverse(X)))))))) = inverse(multiply(X5,multiply(X4,inverse(X4)))),
    inference(substitution,[status(thm)],[c47]) ).

cnf(c49,plain,
    inverse(multiply(X5,multiply(X4,inverse(X4)))) = inverse(multiply(X3,multiply(inverse(X3),multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X5,multiply(X4,inverse(X4)))),multiply(X,inverse(X)))))))),
    inference(symmetry,[status(thm)],[c48]) ).

cnf(c50,plain,
    multiply(inverse(multiply(X3,multiply(X2,inverse(X2)))),multiply(X,inverse(X))) = multiply(inverse(multiply(X3,multiply(X2,inverse(X2)))),multiply(X3,inverse(X3))),
    inference(congruence,[status(thm)],[c39]) ).

cnf(c51,plain,
    inverse(multiply(inverse(multiply(X3,multiply(X2,inverse(X2)))),multiply(X,inverse(X)))) = inverse(multiply(inverse(multiply(X3,multiply(X2,inverse(X2)))),multiply(X3,inverse(X3)))),
    inference(congruence,[status(thm)],[c50]) ).

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

cnf(c53,plain,
    inverse(multiply(X2,multiply(multiply(multiply(X,inverse(X)),inverse(multiply(X4,multiply(X3,X2)))),multiply(multiply(X5,inverse(X5)),X4)))) = X3,
    inference(substitution,[status(thm)],[c10]) ).

cnf(c54,plain,
    X3 = inverse(multiply(X2,multiply(multiply(multiply(X,inverse(X)),inverse(multiply(X4,multiply(X3,X2)))),multiply(multiply(X5,inverse(X5)),X4)))),
    inference(symmetry,[status(thm)],[c53]) ).

cnf(c55,plain,
    multiply(multiply(X4,inverse(X4)),X3) = multiply(multiply(X4,inverse(X4)),inverse(multiply(X2,multiply(multiply(multiply(X,inverse(X)),inverse(multiply(X5,multiply(X3,X2)))),multiply(multiply(X6,inverse(X6)),X5))))),
    inference(congruence,[status(thm)],[c54]) ).

cnf(c56,plain,
    multiply(multiply(multiply(X5,inverse(X5)),X4),multiply(multiply(X3,inverse(X3)),X2)) = multiply(multiply(multiply(X5,inverse(X5)),inverse(multiply(X2,multiply(multiply(multiply(X,inverse(X)),inverse(multiply(X6,multiply(X4,X2)))),multiply(multiply(X7,inverse(X7)),X6))))),multiply(multiply(X3,inverse(X3)),X2)),
    inference(congruence,[status(thm)],[c55]) ).

cnf(c57,plain,
    multiply(multiply(multiply(X7,inverse(X7)),X6),multiply(multiply(multiply(X5,inverse(X5)),X4),multiply(multiply(X3,inverse(X3)),X2))) = multiply(multiply(multiply(X7,inverse(X7)),X6),multiply(multiply(multiply(X5,inverse(X5)),inverse(multiply(X2,multiply(multiply(multiply(X,inverse(X)),inverse(multiply(X6,multiply(X4,X2)))),multiply(multiply(X7,inverse(X7)),X6))))),multiply(multiply(X3,inverse(X3)),X2))),
    inference(congruence,[status(thm)],[c56]) ).

cnf(c58,plain,
    inverse(multiply(multiply(multiply(X7,inverse(X7)),X6),multiply(multiply(multiply(X5,inverse(X5)),X4),multiply(multiply(X3,inverse(X3)),X2)))) = inverse(multiply(multiply(multiply(X7,inverse(X7)),X6),multiply(multiply(multiply(X5,inverse(X5)),inverse(multiply(X2,multiply(multiply(multiply(X,inverse(X)),inverse(multiply(X6,multiply(X4,X2)))),multiply(multiply(X7,inverse(X7)),X6))))),multiply(multiply(X3,inverse(X3)),X2)))),
    inference(congruence,[status(thm)],[c57]) ).

cnf(c59,plain,
    inverse(multiply(multiply(multiply(X7,inverse(X7)),X6),multiply(multiply(multiply(X5,inverse(X5)),inverse(multiply(X2,multiply(multiply(multiply(X,inverse(X)),inverse(multiply(X6,multiply(X4,X2)))),multiply(multiply(X7,inverse(X7)),X6))))),multiply(multiply(X3,inverse(X3)),X2)))) = multiply(multiply(X,inverse(X)),inverse(multiply(X6,multiply(X4,X2)))),
    inference(substitution,[status(thm)],[c10]) ).

cnf(c60,plain,
    inverse(multiply(multiply(multiply(X7,inverse(X7)),X6),multiply(multiply(multiply(X5,inverse(X5)),X4),multiply(multiply(X3,inverse(X3)),X2)))) = multiply(multiply(X,inverse(X)),inverse(multiply(X6,multiply(X4,X2)))),
    inference(transitivity,[status(thm)],[c58,c59]) ).

cnf(c61,plain,
    inverse(multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X6,multiply(X5,inverse(X5))))),multiply(multiply(multiply(X2,inverse(X2)),X6),multiply(multiply(X,inverse(X)),X4)))) = multiply(multiply(X7,inverse(X7)),inverse(multiply(inverse(multiply(X6,multiply(X5,inverse(X5)))),multiply(X6,X4)))),
    inference(substitution,[status(thm)],[c60]) ).

cnf(c62,plain,
    multiply(multiply(X7,inverse(X7)),inverse(multiply(inverse(multiply(X6,multiply(X5,inverse(X5)))),multiply(X6,X4)))) = inverse(multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X6,multiply(X5,inverse(X5))))),multiply(multiply(multiply(X2,inverse(X2)),X6),multiply(multiply(X,inverse(X)),X4)))),
    inference(symmetry,[status(thm)],[c61]) ).

cnf(c63,plain,
    inverse(multiply(X2,multiply(inverse(X2),multiply(multiply(X,inverse(X)),inverse(multiply(X4,multiply(X3,inverse(X3)))))))) = X4,
    inference(substitution,[status(thm)],[c47]) ).

cnf(c64,plain,
    X4 = inverse(multiply(X2,multiply(inverse(X2),multiply(multiply(X,inverse(X)),inverse(multiply(X4,multiply(X3,inverse(X3)))))))),
    inference(symmetry,[status(thm)],[c63]) ).

cnf(c65,plain,
    multiply(multiply(X,inverse(X)),X5) = multiply(multiply(X,inverse(X)),inverse(multiply(X3,multiply(inverse(X3),multiply(multiply(X2,inverse(X2)),inverse(multiply(X5,multiply(X4,inverse(X4))))))))),
    inference(congruence,[status(thm)],[c64]) ).

cnf(c66,plain,
    multiply(multiply(multiply(X2,inverse(X2)),X6),multiply(multiply(X,inverse(X)),X4)) = multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X4,multiply(inverse(X4),multiply(multiply(X3,inverse(X3)),inverse(multiply(X6,multiply(X5,inverse(X5))))))))),multiply(multiply(X,inverse(X)),X4)),
    inference(congruence,[status(thm)],[c65]) ).

cnf(c67,plain,
    multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X6,multiply(X5,inverse(X5))))),multiply(multiply(multiply(X2,inverse(X2)),X6),multiply(multiply(X,inverse(X)),X4))) = multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X6,multiply(X5,inverse(X5))))),multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X4,multiply(inverse(X4),multiply(multiply(X3,inverse(X3)),inverse(multiply(X6,multiply(X5,inverse(X5))))))))),multiply(multiply(X,inverse(X)),X4))),
    inference(congruence,[status(thm)],[c66]) ).

cnf(c68,plain,
    inverse(multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X6,multiply(X5,inverse(X5))))),multiply(multiply(multiply(X2,inverse(X2)),X6),multiply(multiply(X,inverse(X)),X4)))) = inverse(multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X6,multiply(X5,inverse(X5))))),multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X4,multiply(inverse(X4),multiply(multiply(X3,inverse(X3)),inverse(multiply(X6,multiply(X5,inverse(X5))))))))),multiply(multiply(X,inverse(X)),X4)))),
    inference(congruence,[status(thm)],[c67]) ).

cnf(c69,plain,
    inverse(multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X6,multiply(X5,inverse(X5))))),multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X4,multiply(inverse(X4),multiply(multiply(X3,inverse(X3)),inverse(multiply(X6,multiply(X5,inverse(X5))))))))),multiply(multiply(X,inverse(X)),X4)))) = inverse(X4),
    inference(substitution,[status(thm)],[c10]) ).

cnf(c70,plain,
    inverse(multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X6,multiply(X5,inverse(X5))))),multiply(multiply(multiply(X2,inverse(X2)),X6),multiply(multiply(X,inverse(X)),X4)))) = inverse(X4),
    inference(transitivity,[status(thm)],[c68,c69]) ).

cnf(c71,plain,
    multiply(multiply(X4,inverse(X4)),inverse(multiply(inverse(multiply(X3,multiply(X2,inverse(X2)))),multiply(X3,X)))) = inverse(X),
    inference(transitivity,[status(thm)],[c62,c70]) ).

cnf(c72,plain,
    multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(multiply(X2,multiply(X,inverse(X)))),multiply(X2,inverse(X2))))) = inverse(inverse(X2)),
    inference(substitution,[status(thm)],[c71]) ).

cnf(c73,plain,
    multiply(multiply(X4,inverse(X4)),inverse(multiply(inverse(multiply(X3,multiply(X2,inverse(X2)))),multiply(X,inverse(X))))) = inverse(inverse(X3)),
    inference(transitivity,[status(thm)],[c52,c72]) ).

cnf(c74,plain,
    multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X4,multiply(X3,inverse(X3)))),multiply(X,inverse(X))))) = inverse(inverse(X4)),
    inference(substitution,[status(thm)],[c73]) ).

cnf(c75,plain,
    multiply(inverse(X3),multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X5,multiply(X4,inverse(X4)))),multiply(X,inverse(X)))))) = multiply(inverse(X3),inverse(inverse(X5))),
    inference(congruence,[status(thm)],[c74]) ).

cnf(c76,plain,
    multiply(X3,multiply(inverse(X3),multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X5,multiply(X4,inverse(X4)))),multiply(X,inverse(X))))))) = multiply(X3,multiply(inverse(X3),inverse(inverse(X5)))),
    inference(congruence,[status(thm)],[c75]) ).

cnf(c77,plain,
    inverse(multiply(X3,multiply(inverse(X3),multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X5,multiply(X4,inverse(X4)))),multiply(X,inverse(X)))))))) = inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(X5))))),
    inference(congruence,[status(thm)],[c76]) ).

cnf(c78,plain,
    inverse(multiply(X3,multiply(X2,inverse(X2)))) = inverse(multiply(X,multiply(inverse(X),inverse(inverse(X3))))),
    inference(transitivity,[status(thm)],[c49,c77]) ).

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

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

cnf(c81,plain,
    inverse(inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(X2)))))) = inverse(inverse(multiply(X2,multiply(X,inverse(X))))),
    inference(congruence,[status(thm)],[c80]) ).

cnf(c82,plain,
    inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(X,inverse(X)))) = inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(multiply(X2,inverse(X2)))))))),
    inference(substitution,[status(thm)],[c78]) ).

cnf(c83,plain,
    inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(multiply(X2,inverse(X2)))))))) = inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(X,inverse(X)))),
    inference(symmetry,[status(thm)],[c82]) ).

cnf(c84,plain,
    multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(multiply(X2,inverse(X2))))))))) = multiply(multiply(X4,inverse(X4)),inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(X,inverse(X))))),
    inference(congruence,[status(thm)],[c83]) ).

cnf(c85,plain,
    inverse(multiply(X4,multiply(X3,multiply(multiply(X2,inverse(X2)),inverse(multiply(X,multiply(X4,X3))))))) = X,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c86,plain,
    X = inverse(multiply(X4,multiply(X3,multiply(multiply(X2,inverse(X2)),inverse(multiply(X,multiply(X4,X3))))))),
    inference(symmetry,[status(thm)],[c85]) ).

cnf(c87,plain,
    multiply(multiply(X4,multiply(X3,multiply(multiply(X2,inverse(X2)),inverse(multiply(X,multiply(X4,X3)))))),X) = multiply(multiply(X4,multiply(X3,multiply(multiply(X2,inverse(X2)),inverse(multiply(X,multiply(X4,X3)))))),inverse(multiply(X4,multiply(X3,multiply(multiply(X2,inverse(X2)),inverse(multiply(X,multiply(X4,X3)))))))),
    inference(congruence,[status(thm)],[c86]) ).

cnf(c88,plain,
    multiply(X,inverse(X)) = multiply(multiply(X5,multiply(X4,multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(X5,X4)))))),inverse(multiply(X5,multiply(X4,multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(X5,X4)))))))),
    inference(substitution,[status(thm)],[c39]) ).

cnf(c89,plain,
    multiply(multiply(X5,multiply(X4,multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(X5,X4)))))),inverse(multiply(X5,multiply(X4,multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(X5,X4)))))))) = multiply(X,inverse(X)),
    inference(symmetry,[status(thm)],[c88]) ).

cnf(c90,plain,
    multiply(multiply(X5,multiply(X4,multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(X5,X4)))))),X2) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c87,c89]) ).

cnf(c91,plain,
    multiply(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(multiply(X4,inverse(X4)),multiply(X3,X2)))))),multiply(X4,inverse(X4))) = multiply(X5,inverse(X5)),
    inference(substitution,[status(thm)],[c90]) ).

cnf(c92,plain,
    multiply(X5,inverse(X5)) = multiply(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(multiply(X4,inverse(X4)),multiply(X3,X2)))))),multiply(X4,inverse(X4))),
    inference(symmetry,[status(thm)],[c91]) ).

cnf(c93,plain,
    inverse(multiply(X5,inverse(X5))) = inverse(multiply(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(multiply(X4,inverse(X4)),multiply(X3,X2)))))),multiply(X4,inverse(X4)))),
    inference(congruence,[status(thm)],[c92]) ).

cnf(c94,plain,
    multiply(inverse(multiply(X6,inverse(X6))),multiply(X4,inverse(X4))) = multiply(inverse(multiply(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(multiply(X5,inverse(X5)),multiply(X3,X2)))))),multiply(X5,inverse(X5)))),multiply(X4,inverse(X4))),
    inference(congruence,[status(thm)],[c93]) ).

cnf(c95,plain,
    inverse(multiply(inverse(multiply(X6,inverse(X6))),multiply(X4,inverse(X4)))) = inverse(multiply(inverse(multiply(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(multiply(X5,inverse(X5)),multiply(X3,X2)))))),multiply(X5,inverse(X5)))),multiply(X4,inverse(X4)))),
    inference(congruence,[status(thm)],[c94]) ).

cnf(c96,plain,
    multiply(multiply(X7,inverse(X7)),inverse(multiply(inverse(multiply(X6,inverse(X6))),multiply(X4,inverse(X4))))) = multiply(multiply(X7,inverse(X7)),inverse(multiply(inverse(multiply(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(multiply(X5,inverse(X5)),multiply(X3,X2)))))),multiply(X5,inverse(X5)))),multiply(X4,inverse(X4))))),
    inference(congruence,[status(thm)],[c95]) ).

cnf(c97,plain,
    multiply(multiply(X6,inverse(X6)),inverse(multiply(inverse(multiply(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(multiply(X5,inverse(X5)),multiply(X3,X2)))))),multiply(X5,inverse(X5)))),multiply(X4,inverse(X4))))) = inverse(inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(multiply(X5,inverse(X5)),multiply(X3,X2)))))))),
    inference(substitution,[status(thm)],[c73]) ).

cnf(c98,plain,
    inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(multiply(X4,inverse(X4)),multiply(X3,X2))))))) = multiply(X4,inverse(X4)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c99,plain,
    inverse(inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(multiply(X4,inverse(X4)),multiply(X3,X2)))))))) = inverse(multiply(X4,inverse(X4))),
    inference(congruence,[status(thm)],[c98]) ).

cnf(c100,plain,
    multiply(multiply(X6,inverse(X6)),inverse(multiply(inverse(multiply(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(multiply(X5,inverse(X5)),multiply(X3,X2)))))),multiply(X5,inverse(X5)))),multiply(X4,inverse(X4))))) = inverse(multiply(X5,inverse(X5))),
    inference(transitivity,[status(thm)],[c97,c99]) ).

cnf(c101,plain,
    multiply(multiply(X4,inverse(X4)),inverse(multiply(inverse(multiply(X3,inverse(X3))),multiply(X,inverse(X))))) = inverse(multiply(X2,inverse(X2))),
    inference(transitivity,[status(thm)],[c96,c100]) ).

cnf(c102,plain,
    multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(multiply(X2,inverse(X2))))))))) = inverse(multiply(X,inverse(X))),
    inference(transitivity,[status(thm)],[c84,c101]) ).

cnf(c103,plain,
    multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X,inverse(X))),multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(inverse(inverse(multiply(X,inverse(X))))))))) = inverse(multiply(X3,inverse(X3))),
    inference(substitution,[status(thm)],[c102]) ).

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

cnf(c105,plain,
    multiply(inverse(multiply(X6,inverse(X6))),multiply(multiply(X5,inverse(X5)),multiply(multiply(X4,inverse(X4)),X3))) = multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X,inverse(X))),multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(inverse(inverse(multiply(X,inverse(X))))))))),multiply(multiply(X5,inverse(X5)),multiply(multiply(X4,inverse(X4)),X3))),
    inference(congruence,[status(thm)],[c104]) ).

cnf(c106,plain,
    inverse(multiply(inverse(multiply(X6,inverse(X6))),multiply(multiply(X5,inverse(X5)),multiply(multiply(X4,inverse(X4)),X3)))) = inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X,inverse(X))),multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(inverse(inverse(multiply(X,inverse(X))))))))),multiply(multiply(X5,inverse(X5)),multiply(multiply(X4,inverse(X4)),X3)))),
    inference(congruence,[status(thm)],[c105]) ).

cnf(c107,plain,
    multiply(X2,inverse(X2)) = multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X)))),
    inference(substitution,[status(thm)],[c39]) ).

cnf(c108,plain,
    multiply(multiply(X4,inverse(X4)),multiply(multiply(X3,inverse(X3)),X2)) = multiply(multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X)))),multiply(multiply(X3,inverse(X3)),X2)),
    inference(congruence,[status(thm)],[c107]) ).

cnf(c109,plain,
    multiply(multiply(multiply(X6,inverse(X6)),X5),multiply(multiply(X4,inverse(X4)),multiply(multiply(X3,inverse(X3)),X2))) = multiply(multiply(multiply(X6,inverse(X6)),X5),multiply(multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X)))),multiply(multiply(X3,inverse(X3)),X2))),
    inference(congruence,[status(thm)],[c108]) ).

cnf(c110,plain,
    inverse(multiply(multiply(multiply(X6,inverse(X6)),X5),multiply(multiply(X4,inverse(X4)),multiply(multiply(X3,inverse(X3)),X2)))) = inverse(multiply(multiply(multiply(X6,inverse(X6)),X5),multiply(multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X)))),multiply(multiply(X3,inverse(X3)),X2)))),
    inference(congruence,[status(thm)],[c109]) ).

cnf(c111,plain,
    inverse(multiply(multiply(multiply(X6,inverse(X6)),X5),multiply(multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X)))),multiply(multiply(X4,inverse(X4)),X3)))) = multiply(multiply(X2,inverse(X2)),inverse(multiply(X5,multiply(inverse(multiply(X,inverse(X))),X3)))),
    inference(substitution,[status(thm)],[c60]) ).

cnf(c112,plain,
    inverse(multiply(multiply(multiply(X7,inverse(X7)),X6),multiply(multiply(X5,inverse(X5)),multiply(multiply(X4,inverse(X4)),X3)))) = multiply(multiply(X2,inverse(X2)),inverse(multiply(X6,multiply(inverse(multiply(X,inverse(X))),X3)))),
    inference(transitivity,[status(thm)],[c110,c111]) ).

cnf(c113,plain,
    inverse(multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(inverse(inverse(multiply(X2,inverse(X2)))),inverse(inverse(inverse(multiply(X2,inverse(X2))))))))),multiply(multiply(X6,inverse(X6)),multiply(multiply(X5,inverse(X5)),X4)))) = multiply(multiply(X,inverse(X)),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(inverse(inverse(multiply(X2,inverse(X2)))),inverse(inverse(inverse(multiply(X2,inverse(X2)))))))),multiply(inverse(multiply(X2,inverse(X2))),X4)))),
    inference(substitution,[status(thm)],[c112]) ).

cnf(c114,plain,
    multiply(multiply(X,inverse(X)),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(inverse(inverse(multiply(X2,inverse(X2)))),inverse(inverse(inverse(multiply(X2,inverse(X2)))))))),multiply(inverse(multiply(X2,inverse(X2))),X3)))) = inverse(X3),
    inference(substitution,[status(thm)],[c71]) ).

cnf(c115,plain,
    inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X,inverse(X))),multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(inverse(inverse(multiply(X,inverse(X))))))))),multiply(multiply(X5,inverse(X5)),multiply(multiply(X4,inverse(X4)),X3)))) = inverse(X3),
    inference(transitivity,[status(thm)],[c113,c114]) ).

cnf(c116,plain,
    inverse(multiply(inverse(multiply(X4,inverse(X4))),multiply(multiply(X3,inverse(X3)),multiply(multiply(X2,inverse(X2)),X)))) = inverse(X),
    inference(transitivity,[status(thm)],[c106,c115]) ).

cnf(c117,plain,
    inverse(multiply(inverse(multiply(X3,inverse(X3))),multiply(multiply(X2,inverse(X2)),multiply(multiply(X,inverse(X)),inverse(multiply(X5,multiply(X4,inverse(X4)))))))) = inverse(inverse(multiply(X5,multiply(X4,inverse(X4))))),
    inference(substitution,[status(thm)],[c116]) ).

cnf(c118,plain,
    inverse(inverse(multiply(X5,multiply(X4,inverse(X4))))) = inverse(multiply(inverse(multiply(X3,inverse(X3))),multiply(multiply(X2,inverse(X2)),multiply(multiply(X,inverse(X)),inverse(multiply(X5,multiply(X4,inverse(X4)))))))),
    inference(symmetry,[status(thm)],[c117]) ).

cnf(c119,plain,
    multiply(X2,inverse(X2)) = multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X)))),
    inference(substitution,[status(thm)],[c39]) ).

cnf(c120,plain,
    inverse(multiply(X2,inverse(X2))) = inverse(multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X))))),
    inference(congruence,[status(thm)],[c119]) ).

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

cnf(c122,plain,
    multiply(X2,multiply(X,inverse(X))) = multiply(X2,multiply(X3,inverse(X3))),
    inference(congruence,[status(thm)],[c39]) ).

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

cnf(c124,plain,
    multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(X,inverse(X))))) = multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(X4,inverse(X4))))),
    inference(congruence,[status(thm)],[c123]) ).

cnf(c125,plain,
    multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,inverse(X2))))),multiply(multiply(X,inverse(X)),X3)) = multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X5,inverse(X5))))),multiply(multiply(X,inverse(X)),X3)),
    inference(congruence,[status(thm)],[c124]) ).

cnf(c126,plain,
    multiply(inverse(X5),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,inverse(X2))))),multiply(multiply(X,inverse(X)),X3))) = multiply(inverse(X5),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X5,inverse(X5))))),multiply(multiply(X,inverse(X)),X3))),
    inference(congruence,[status(thm)],[c125]) ).

cnf(c127,plain,
    inverse(multiply(inverse(X5),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,inverse(X2))))),multiply(multiply(X,inverse(X)),X3)))) = inverse(multiply(inverse(X5),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X5,inverse(X5))))),multiply(multiply(X,inverse(X)),X3)))),
    inference(congruence,[status(thm)],[c126]) ).

cnf(c128,plain,
    inverse(multiply(inverse(X4),multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(X4,inverse(X4))))),multiply(multiply(X,inverse(X)),X2)))) = X4,
    inference(substitution,[status(thm)],[c10]) ).

cnf(c129,plain,
    inverse(multiply(inverse(X5),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,inverse(X2))))),multiply(multiply(X,inverse(X)),X3)))) = X5,
    inference(transitivity,[status(thm)],[c127,c128]) ).

cnf(c130,plain,
    inverse(multiply(inverse(multiply(X5,multiply(inverse(X5),inverse(inverse(X6))))),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,inverse(X2))))),multiply(multiply(X,inverse(X)),X3)))) = multiply(X5,multiply(inverse(X5),inverse(inverse(X6)))),
    inference(substitution,[status(thm)],[c129]) ).

cnf(c131,plain,
    multiply(X5,multiply(inverse(X5),inverse(inverse(X6)))) = inverse(multiply(inverse(multiply(X5,multiply(inverse(X5),inverse(inverse(X6))))),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,inverse(X2))))),multiply(multiply(X,inverse(X)),X3)))),
    inference(symmetry,[status(thm)],[c130]) ).

cnf(c132,plain,
    inverse(multiply(X,multiply(inverse(X),inverse(inverse(X3))))) = inverse(multiply(X3,multiply(X2,inverse(X2)))),
    inference(symmetry,[status(thm)],[c78]) ).

cnf(c133,plain,
    multiply(inverse(multiply(X5,multiply(inverse(X5),inverse(inverse(X7))))),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,inverse(X2))))),multiply(multiply(X,inverse(X)),X3))) = multiply(inverse(multiply(X7,multiply(X6,inverse(X6)))),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,inverse(X2))))),multiply(multiply(X,inverse(X)),X3))),
    inference(congruence,[status(thm)],[c132]) ).

cnf(c134,plain,
    inverse(multiply(inverse(multiply(X5,multiply(inverse(X5),inverse(inverse(X7))))),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,inverse(X2))))),multiply(multiply(X,inverse(X)),X3)))) = inverse(multiply(inverse(multiply(X7,multiply(X6,inverse(X6)))),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,inverse(X2))))),multiply(multiply(X,inverse(X)),X3)))),
    inference(congruence,[status(thm)],[c133]) ).

cnf(c135,plain,
    inverse(multiply(inverse(multiply(X6,multiply(X5,inverse(X5)))),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,inverse(X2))))),multiply(multiply(X,inverse(X)),X3)))) = multiply(X6,multiply(X5,inverse(X5))),
    inference(substitution,[status(thm)],[c129]) ).

cnf(c136,plain,
    inverse(multiply(inverse(multiply(X5,multiply(inverse(X5),inverse(inverse(X7))))),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,inverse(X2))))),multiply(multiply(X,inverse(X)),X3)))) = multiply(X7,multiply(X6,inverse(X6))),
    inference(transitivity,[status(thm)],[c134,c135]) ).

cnf(c137,plain,
    multiply(X,multiply(inverse(X),inverse(inverse(X3)))) = multiply(X3,multiply(X2,inverse(X2))),
    inference(transitivity,[status(thm)],[c131,c136]) ).

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

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

cnf(c140,plain,
    multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(multiply(X,inverse(X))))))))) = inverse(multiply(X4,inverse(X4))),
    inference(substitution,[status(thm)],[c102]) ).

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

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

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

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

cnf(c145,plain,
    multiply(inverse(X5),multiply(inverse(inverse(multiply(X4,inverse(X4)))),inverse(inverse(inverse(multiply(X4,inverse(X4))))))) = multiply(inverse(X5),multiply(inverse(inverse(multiply(X4,inverse(X4)))),inverse(inverse(multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(multiply(X,inverse(X))))))))))))),
    inference(congruence,[status(thm)],[c144]) ).

cnf(c146,plain,
    multiply(X5,multiply(inverse(X5),multiply(inverse(inverse(multiply(X4,inverse(X4)))),inverse(inverse(inverse(multiply(X4,inverse(X4)))))))) = multiply(X5,multiply(inverse(X5),multiply(inverse(inverse(multiply(X4,inverse(X4)))),inverse(inverse(multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(multiply(X,inverse(X)))))))))))))),
    inference(congruence,[status(thm)],[c145]) ).

cnf(c147,plain,
    inverse(multiply(X2,multiply(X,inverse(X)))) = inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(X2))))),
    inference(substitution,[status(thm)],[c78]) ).

cnf(c148,plain,
    inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(X2))))) = inverse(multiply(X2,multiply(X,inverse(X)))),
    inference(symmetry,[status(thm)],[c147]) ).

cnf(c149,plain,
    multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(X2)))))) = multiply(multiply(X4,inverse(X4)),inverse(multiply(X2,multiply(X,inverse(X))))),
    inference(congruence,[status(thm)],[c148]) ).

cnf(c150,plain,
    inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(X2))))))) = inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X2,multiply(X,inverse(X)))))),
    inference(congruence,[status(thm)],[c149]) ).

cnf(c151,plain,
    inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(X2)))))))) = inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X2,multiply(X,inverse(X))))))),
    inference(congruence,[status(thm)],[c150]) ).

cnf(c152,plain,
    multiply(inverse(inverse(multiply(X5,inverse(X5)))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(X2))))))))) = multiply(inverse(inverse(multiply(X5,inverse(X5)))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X2,multiply(X,inverse(X)))))))),
    inference(congruence,[status(thm)],[c151]) ).

cnf(c153,plain,
    multiply(inverse(X6),multiply(inverse(inverse(multiply(X5,inverse(X5)))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(X2)))))))))) = multiply(inverse(X6),multiply(inverse(inverse(multiply(X5,inverse(X5)))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X2,multiply(X,inverse(X))))))))),
    inference(congruence,[status(thm)],[c152]) ).

cnf(c154,plain,
    multiply(X6,multiply(inverse(X6),multiply(inverse(inverse(multiply(X5,inverse(X5)))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(X2))))))))))) = multiply(X6,multiply(inverse(X6),multiply(inverse(inverse(multiply(X5,inverse(X5)))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X2,multiply(X,inverse(X)))))))))),
    inference(congruence,[status(thm)],[c153]) ).

cnf(c155,plain,
    inverse(multiply(inverse(multiply(X5,multiply(inverse(X5),X6))),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,inverse(X2))))),multiply(multiply(X,inverse(X)),X3)))) = multiply(X5,multiply(inverse(X5),X6)),
    inference(substitution,[status(thm)],[c129]) ).

cnf(c156,plain,
    multiply(X5,multiply(inverse(X5),X6)) = inverse(multiply(inverse(multiply(X5,multiply(inverse(X5),X6))),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,inverse(X2))))),multiply(multiply(X,inverse(X)),X3)))),
    inference(symmetry,[status(thm)],[c155]) ).

cnf(c157,plain,
    inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(X4,multiply(X3,X2))))))) = X4,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c158,plain,
    X4 = inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(X4,multiply(X3,X2))))))),
    inference(symmetry,[status(thm)],[c157]) ).

cnf(c159,plain,
    multiply(inverse(X4),X5) = multiply(inverse(X4),inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(X5,multiply(X3,X2)))))))),
    inference(congruence,[status(thm)],[c158]) ).

cnf(c160,plain,
    multiply(X4,multiply(inverse(X4),X5)) = multiply(X4,multiply(inverse(X4),inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(X5,multiply(X3,X2))))))))),
    inference(congruence,[status(thm)],[c159]) ).

cnf(c161,plain,
    inverse(multiply(X4,multiply(inverse(X4),X5))) = inverse(multiply(X4,multiply(inverse(X4),inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(X5,multiply(X3,X2)))))))))),
    inference(congruence,[status(thm)],[c160]) ).

cnf(c162,plain,
    inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(X4,multiply(X3,X2))))))) = X4,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c163,plain,
    X4 = inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(X4,multiply(X3,X2))))))),
    inference(symmetry,[status(thm)],[c162]) ).

cnf(c164,plain,
    inverse(X4) = inverse(inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(X4,multiply(X3,X2)))))))),
    inference(congruence,[status(thm)],[c163]) ).

cnf(c165,plain,
    multiply(inverse(X4),inverse(X5)) = multiply(inverse(X4),inverse(inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(X5,multiply(X3,X2))))))))),
    inference(congruence,[status(thm)],[c164]) ).

cnf(c166,plain,
    multiply(X4,multiply(inverse(X4),inverse(X5))) = multiply(X4,multiply(inverse(X4),inverse(inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(X5,multiply(X3,X2)))))))))),
    inference(congruence,[status(thm)],[c165]) ).

cnf(c167,plain,
    inverse(multiply(X4,multiply(inverse(X4),inverse(X5)))) = inverse(multiply(X4,multiply(inverse(X4),inverse(inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(X5,multiply(X3,X2))))))))))),
    inference(congruence,[status(thm)],[c166]) ).

cnf(c168,plain,
    multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X4,multiply(X3,inverse(X3)))),multiply(X,inverse(X))))) = inverse(inverse(X4)),
    inference(substitution,[status(thm)],[c73]) ).

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

cnf(c170,plain,
    multiply(inverse(X4),inverse(inverse(X5))) = multiply(inverse(X4),multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X5,multiply(X3,inverse(X3)))),multiply(X,inverse(X)))))),
    inference(congruence,[status(thm)],[c169]) ).

cnf(c171,plain,
    multiply(X4,multiply(inverse(X4),inverse(inverse(X5)))) = multiply(X4,multiply(inverse(X4),multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X5,multiply(X3,inverse(X3)))),multiply(X,inverse(X))))))),
    inference(congruence,[status(thm)],[c170]) ).

cnf(c172,plain,
    inverse(multiply(X4,multiply(inverse(X4),inverse(inverse(X5))))) = inverse(multiply(X4,multiply(inverse(X4),multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X5,multiply(X3,inverse(X3)))),multiply(X,inverse(X)))))))),
    inference(congruence,[status(thm)],[c171]) ).

cnf(c173,plain,
    inverse(multiply(X4,multiply(inverse(X4),multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X5,multiply(X3,inverse(X3)))),multiply(X,inverse(X)))))))) = inverse(multiply(X5,multiply(X3,inverse(X3)))),
    inference(substitution,[status(thm)],[c47]) ).

cnf(c174,plain,
    inverse(multiply(X5,multiply(inverse(X5),multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(multiply(X4,multiply(X2,inverse(X2)))),multiply(X,inverse(X)))))))) = inverse(multiply(X4,multiply(X2,inverse(X2)))),
    inference(substitution,[status(thm)],[c47]) ).

cnf(c175,plain,
    inverse(multiply(X4,multiply(X2,inverse(X2)))) = inverse(multiply(X5,multiply(inverse(X5),multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(multiply(X4,multiply(X2,inverse(X2)))),multiply(X,inverse(X)))))))),
    inference(symmetry,[status(thm)],[c174]) ).

cnf(c176,plain,
    multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(multiply(X4,multiply(X2,inverse(X2)))),multiply(X,inverse(X))))) = inverse(inverse(X4)),
    inference(substitution,[status(thm)],[c73]) ).

cnf(c177,plain,
    multiply(inverse(X5),multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(multiply(X4,multiply(X2,inverse(X2)))),multiply(X,inverse(X)))))) = multiply(inverse(X5),inverse(inverse(X4))),
    inference(congruence,[status(thm)],[c176]) ).

cnf(c178,plain,
    multiply(X5,multiply(inverse(X5),multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(multiply(X4,multiply(X2,inverse(X2)))),multiply(X,inverse(X))))))) = multiply(X5,multiply(inverse(X5),inverse(inverse(X4)))),
    inference(congruence,[status(thm)],[c177]) ).

cnf(c179,plain,
    inverse(multiply(X5,multiply(inverse(X5),multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(multiply(X4,multiply(X2,inverse(X2)))),multiply(X,inverse(X)))))))) = inverse(multiply(X5,multiply(inverse(X5),inverse(inverse(X4))))),
    inference(congruence,[status(thm)],[c178]) ).

cnf(c180,plain,
    inverse(multiply(X2,multiply(X,inverse(X)))) = inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(X2))))),
    inference(transitivity,[status(thm)],[c175,c179]) ).

cnf(c181,plain,
    inverse(multiply(X4,multiply(inverse(X4),multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X5,multiply(X3,inverse(X3)))),multiply(X,inverse(X)))))))) = inverse(multiply(X6,multiply(inverse(X6),inverse(inverse(X5))))),
    inference(transitivity,[status(thm)],[c173,c180]) ).

cnf(c182,plain,
    inverse(multiply(X,multiply(inverse(X),inverse(inverse(X2))))) = inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(X2))))),
    inference(transitivity,[status(thm)],[c172,c181]) ).

cnf(c183,plain,
    inverse(multiply(X4,multiply(inverse(X4),inverse(inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(X5,multiply(X3,X2))))))))))) = inverse(multiply(X6,multiply(inverse(X6),inverse(inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(X5,multiply(X3,X2))))))))))),
    inference(substitution,[status(thm)],[c182]) ).

cnf(c184,plain,
    inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(X4,multiply(X3,X2))))))) = X4,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c185,plain,
    inverse(inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(X4,multiply(X3,X2)))))))) = inverse(X4),
    inference(congruence,[status(thm)],[c184]) ).

cnf(c186,plain,
    multiply(inverse(X5),inverse(inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(X4,multiply(X3,X2))))))))) = multiply(inverse(X5),inverse(X4)),
    inference(congruence,[status(thm)],[c185]) ).

cnf(c187,plain,
    multiply(X5,multiply(inverse(X5),inverse(inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(X4,multiply(X3,X2)))))))))) = multiply(X5,multiply(inverse(X5),inverse(X4))),
    inference(congruence,[status(thm)],[c186]) ).

cnf(c188,plain,
    inverse(multiply(X5,multiply(inverse(X5),inverse(inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(X4,multiply(X3,X2))))))))))) = inverse(multiply(X5,multiply(inverse(X5),inverse(X4)))),
    inference(congruence,[status(thm)],[c187]) ).

cnf(c189,plain,
    inverse(multiply(X4,multiply(inverse(X4),inverse(inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(X5,multiply(X3,X2))))))))))) = inverse(multiply(X6,multiply(inverse(X6),inverse(X5)))),
    inference(transitivity,[status(thm)],[c183,c188]) ).

cnf(c190,plain,
    inverse(multiply(X,multiply(inverse(X),inverse(X2)))) = inverse(multiply(X3,multiply(inverse(X3),inverse(X2)))),
    inference(transitivity,[status(thm)],[c167,c189]) ).

cnf(c191,plain,
    inverse(multiply(X4,multiply(inverse(X4),inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(X5,multiply(X3,X2)))))))))) = inverse(multiply(X6,multiply(inverse(X6),inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(X5,multiply(X3,X2)))))))))),
    inference(substitution,[status(thm)],[c190]) ).

cnf(c192,plain,
    inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(X4,multiply(X3,X2))))))) = X4,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c193,plain,
    multiply(inverse(X5),inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(X4,multiply(X3,X2)))))))) = multiply(inverse(X5),X4),
    inference(congruence,[status(thm)],[c192]) ).

cnf(c194,plain,
    multiply(X5,multiply(inverse(X5),inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(X4,multiply(X3,X2))))))))) = multiply(X5,multiply(inverse(X5),X4)),
    inference(congruence,[status(thm)],[c193]) ).

cnf(c195,plain,
    inverse(multiply(X5,multiply(inverse(X5),inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(X4,multiply(X3,X2)))))))))) = inverse(multiply(X5,multiply(inverse(X5),X4))),
    inference(congruence,[status(thm)],[c194]) ).

cnf(c196,plain,
    inverse(multiply(X4,multiply(inverse(X4),inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(X5,multiply(X3,X2)))))))))) = inverse(multiply(X6,multiply(inverse(X6),X5))),
    inference(transitivity,[status(thm)],[c191,c195]) ).

cnf(c197,plain,
    inverse(multiply(X,multiply(inverse(X),X2))) = inverse(multiply(X3,multiply(inverse(X3),X2))),
    inference(transitivity,[status(thm)],[c161,c196]) ).

cnf(c198,plain,
    multiply(inverse(multiply(X5,multiply(inverse(X5),X6))),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,inverse(X2))))),multiply(multiply(X,inverse(X)),X3))) = multiply(inverse(multiply(X7,multiply(inverse(X7),X6))),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,inverse(X2))))),multiply(multiply(X,inverse(X)),X3))),
    inference(congruence,[status(thm)],[c197]) ).

cnf(c199,plain,
    inverse(multiply(inverse(multiply(X5,multiply(inverse(X5),X6))),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,inverse(X2))))),multiply(multiply(X,inverse(X)),X3)))) = inverse(multiply(inverse(multiply(X7,multiply(inverse(X7),X6))),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,inverse(X2))))),multiply(multiply(X,inverse(X)),X3)))),
    inference(congruence,[status(thm)],[c198]) ).

cnf(c200,plain,
    inverse(multiply(inverse(multiply(X6,multiply(inverse(X6),X5))),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,inverse(X2))))),multiply(multiply(X,inverse(X)),X3)))) = multiply(X6,multiply(inverse(X6),X5)),
    inference(substitution,[status(thm)],[c129]) ).

cnf(c201,plain,
    inverse(multiply(inverse(multiply(X5,multiply(inverse(X5),X6))),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,inverse(X2))))),multiply(multiply(X,inverse(X)),X3)))) = multiply(X7,multiply(inverse(X7),X6)),
    inference(transitivity,[status(thm)],[c199,c200]) ).

cnf(c202,plain,
    multiply(X,multiply(inverse(X),X2)) = multiply(X3,multiply(inverse(X3),X2)),
    inference(transitivity,[status(thm)],[c156,c201]) ).

cnf(c203,plain,
    multiply(X3,multiply(inverse(X3),multiply(inverse(inverse(X2)),X))) = multiply(X2,multiply(inverse(X2),multiply(inverse(inverse(X2)),X))),
    inference(substitution,[status(thm)],[c202]) ).

cnf(c204,plain,
    multiply(X,multiply(inverse(X),X2)) = multiply(inverse(X3),multiply(inverse(inverse(X3)),X2)),
    inference(substitution,[status(thm)],[c202]) ).

cnf(c205,plain,
    multiply(inverse(X3),multiply(inverse(inverse(X3)),X2)) = multiply(X,multiply(inverse(X),X2)),
    inference(symmetry,[status(thm)],[c204]) ).

cnf(c206,plain,
    multiply(X3,multiply(inverse(X3),multiply(inverse(inverse(X3)),X2))) = multiply(X3,multiply(X,multiply(inverse(X),X2))),
    inference(congruence,[status(thm)],[c205]) ).

cnf(c207,plain,
    multiply(X4,multiply(inverse(X4),multiply(inverse(inverse(X3)),X2))) = multiply(X3,multiply(X,multiply(inverse(X),X2))),
    inference(transitivity,[status(thm)],[c203,c206]) ).

cnf(c208,plain,
    multiply(X5,multiply(inverse(X5),multiply(inverse(inverse(multiply(X4,inverse(X4)))),inverse(inverse(multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(X,inverse(X)))))))))) = multiply(multiply(X4,inverse(X4)),multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(X,inverse(X))))),multiply(inverse(multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(X,inverse(X)))))),inverse(inverse(multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(X,inverse(X)))))))))),
    inference(substitution,[status(thm)],[c207]) ).

cnf(c209,plain,
    inverse(multiply(inverse(multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X,inverse(X))))),multiply(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X,inverse(X)))))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X,inverse(X)))))))))),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X,inverse(X))))),multiply(multiply(X2,inverse(X2)),X3)))) = multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X,inverse(X))))),multiply(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X,inverse(X)))))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X,inverse(X))))))))),
    inference(substitution,[status(thm)],[c129]) ).

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

cnf(c211,plain,
    multiply(multiply(X5,inverse(X5)),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X,inverse(X))))),multiply(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X,inverse(X)))))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X,inverse(X)))))))))) = multiply(multiply(X5,inverse(X5)),inverse(multiply(inverse(multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X,inverse(X))))),multiply(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X,inverse(X)))))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X,inverse(X)))))))))),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X,inverse(X))))),multiply(multiply(X2,inverse(X2)),X3))))),
    inference(congruence,[status(thm)],[c210]) ).

cnf(c212,plain,
    multiply(multiply(X5,inverse(X5)),inverse(multiply(inverse(multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X,inverse(X))))),multiply(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X,inverse(X)))))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X,inverse(X)))))))))),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X,inverse(X))))),multiply(multiply(X2,inverse(X2)),X3))))) = inverse(multiply(multiply(X2,inverse(X2)),X3)),
    inference(substitution,[status(thm)],[c71]) ).

cnf(c213,plain,
    multiply(multiply(X5,inverse(X5)),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X,inverse(X))))),multiply(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X,inverse(X)))))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X,inverse(X)))))))))) = inverse(multiply(multiply(X2,inverse(X2)),X3)),
    inference(transitivity,[status(thm)],[c211,c212]) ).

cnf(c214,plain,
    multiply(X6,multiply(inverse(X6),multiply(inverse(inverse(multiply(X5,inverse(X5)))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X,inverse(X)))))))))) = inverse(multiply(multiply(X2,inverse(X2)),X3)),
    inference(transitivity,[status(thm)],[c208,c213]) ).

cnf(c215,plain,
    multiply(X6,multiply(inverse(X6),multiply(inverse(inverse(multiply(X5,inverse(X5)))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(X2))))))))))) = inverse(multiply(multiply(X,inverse(X)),X2)),
    inference(transitivity,[status(thm)],[c154,c214]) ).

cnf(c216,plain,
    multiply(X5,multiply(inverse(X5),multiply(inverse(inverse(multiply(X4,inverse(X4)))),inverse(inverse(multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(multiply(X,inverse(X)))))))))))))) = inverse(multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X))))),
    inference(substitution,[status(thm)],[c215]) ).

cnf(c217,plain,
    multiply(X2,inverse(X2)) = multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X)))),
    inference(substitution,[status(thm)],[c39]) ).

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

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

cnf(c220,plain,
    multiply(X6,multiply(inverse(X6),multiply(inverse(inverse(multiply(X4,inverse(X4)))),inverse(inverse(multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(multiply(X,inverse(X)))))))))))))) = inverse(multiply(X5,inverse(X5))),
    inference(transitivity,[status(thm)],[c216,c219]) ).

cnf(c221,plain,
    multiply(X3,multiply(inverse(X3),multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(inverse(inverse(multiply(X,inverse(X)))))))) = inverse(multiply(X2,inverse(X2))),
    inference(transitivity,[status(thm)],[c146,c220]) ).

cnf(c222,plain,
    multiply(X3,multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(X3)))))) = inverse(multiply(X,inverse(X))),
    inference(transitivity,[status(thm)],[c139,c221]) ).

cnf(c223,plain,
    multiply(inverse(multiply(X,inverse(X))),multiply(inverse(inverse(multiply(X,inverse(X)))),multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(inverse(inverse(inverse(multiply(X,inverse(X))))))))) = inverse(multiply(X2,inverse(X2))),
    inference(substitution,[status(thm)],[c222]) ).

cnf(c224,plain,
    inverse(multiply(X2,inverse(X2))) = multiply(inverse(multiply(X,inverse(X))),multiply(inverse(inverse(multiply(X,inverse(X)))),multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(inverse(inverse(inverse(multiply(X,inverse(X))))))))),
    inference(symmetry,[status(thm)],[c223]) ).

cnf(c225,plain,
    multiply(X3,inverse(multiply(X2,inverse(X2)))) = multiply(X3,multiply(inverse(multiply(X,inverse(X))),multiply(inverse(inverse(multiply(X,inverse(X)))),multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(inverse(inverse(inverse(multiply(X,inverse(X)))))))))),
    inference(congruence,[status(thm)],[c224]) ).

cnf(c226,plain,
    inverse(multiply(X3,inverse(multiply(X2,inverse(X2))))) = inverse(multiply(X3,multiply(inverse(multiply(X,inverse(X))),multiply(inverse(inverse(multiply(X,inverse(X)))),multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(inverse(inverse(inverse(multiply(X,inverse(X))))))))))),
    inference(congruence,[status(thm)],[c225]) ).

cnf(c227,plain,
    inverse(inverse(multiply(X3,inverse(multiply(X2,inverse(X2)))))) = inverse(inverse(multiply(X3,multiply(inverse(multiply(X,inverse(X))),multiply(inverse(inverse(multiply(X,inverse(X)))),multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(inverse(inverse(inverse(multiply(X,inverse(X)))))))))))),
    inference(congruence,[status(thm)],[c226]) ).

cnf(c228,plain,
    multiply(multiply(X,inverse(X)),multiply(inverse(multiply(X,inverse(X))),multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(inverse(inverse(multiply(X,inverse(X)))))))) = inverse(multiply(X2,inverse(X2))),
    inference(substitution,[status(thm)],[c222]) ).

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

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

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

cnf(c232,plain,
    multiply(X3,multiply(inverse(X3),multiply(inverse(inverse(X2)),inverse(inverse(inverse(multiply(X,inverse(X)))))))) = multiply(X2,multiply(inverse(multiply(X,inverse(X))),multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(inverse(inverse(multiply(X,inverse(X)))))))),
    inference(substitution,[status(thm)],[c207]) ).

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

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

cnf(c235,plain,
    inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(multiply(inverse(inverse(multiply(X2,inverse(X2)))),inverse(inverse(inverse(multiply(X2,inverse(X2)))))),multiply(multiply(X,inverse(X)),inverse(multiply(X3,multiply(inverse(multiply(X2,inverse(X2))),multiply(inverse(inverse(multiply(X2,inverse(X2)))),inverse(inverse(inverse(multiply(X2,inverse(X2))))))))))))) = inverse(inverse(multiply(X3,multiply(inverse(multiply(X2,inverse(X2))),multiply(inverse(inverse(multiply(X2,inverse(X2)))),inverse(inverse(inverse(multiply(X2,inverse(X2)))))))))),
    inference(substitution,[status(thm)],[c116]) ).

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

cnf(c237,plain,
    inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(multiply(inverse(inverse(multiply(X2,inverse(X2)))),inverse(inverse(inverse(multiply(X2,inverse(X2)))))),multiply(multiply(X,inverse(X)),inverse(multiply(X3,multiply(inverse(multiply(X2,inverse(X2))),multiply(inverse(inverse(multiply(X2,inverse(X2)))),inverse(inverse(inverse(multiply(X2,inverse(X2))))))))))))) = X3,
    inference(substitution,[status(thm)],[c2]) ).

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

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

cnf(c240,plain,
    inverse(inverse(multiply(multiply(X,inverse(X)),multiply(inverse(multiply(X,inverse(X))),multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(inverse(inverse(multiply(X,inverse(X)))))))))) = multiply(X,inverse(X)),
    inference(substitution,[status(thm)],[c239]) ).

cnf(c241,plain,
    inverse(inverse(inverse(multiply(X2,inverse(X2))))) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c231,c240]) ).

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

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

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

cnf(c245,plain,
    multiply(inverse(multiply(X,inverse(X))),multiply(inverse(inverse(multiply(X,inverse(X)))),multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(inverse(inverse(inverse(multiply(X,inverse(X))))))))) = multiply(inverse(multiply(X,inverse(X))),multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(inverse(inverse(multiply(X,inverse(X))))))),
    inference(congruence,[status(thm)],[c244]) ).

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

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

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

cnf(c249,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X8,inverse(X8))),multiply(multiply(X7,inverse(X7)),multiply(multiply(X6,inverse(X6)),X5)))),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,inverse(X2))))),multiply(multiply(X,inverse(X)),X3)))) = multiply(inverse(multiply(X8,inverse(X8))),multiply(multiply(X7,inverse(X7)),multiply(multiply(X6,inverse(X6)),X5))),
    inference(substitution,[status(thm)],[c129]) ).

cnf(c250,plain,
    multiply(inverse(multiply(X8,inverse(X8))),multiply(multiply(X7,inverse(X7)),multiply(multiply(X6,inverse(X6)),X5))) = inverse(multiply(inverse(multiply(inverse(multiply(X8,inverse(X8))),multiply(multiply(X7,inverse(X7)),multiply(multiply(X6,inverse(X6)),X5)))),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,inverse(X2))))),multiply(multiply(X,inverse(X)),X3)))),
    inference(symmetry,[status(thm)],[c249]) ).

cnf(c251,plain,
    multiply(inverse(multiply(inverse(multiply(X8,inverse(X8))),multiply(multiply(X7,inverse(X7)),multiply(multiply(X6,inverse(X6)),X5)))),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,inverse(X2))))),multiply(multiply(X,inverse(X)),X3))) = multiply(inverse(X5),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,inverse(X2))))),multiply(multiply(X,inverse(X)),X3))),
    inference(congruence,[status(thm)],[c116]) ).

cnf(c252,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X8,inverse(X8))),multiply(multiply(X7,inverse(X7)),multiply(multiply(X6,inverse(X6)),X5)))),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,inverse(X2))))),multiply(multiply(X,inverse(X)),X3)))) = inverse(multiply(inverse(X5),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,inverse(X2))))),multiply(multiply(X,inverse(X)),X3)))),
    inference(congruence,[status(thm)],[c251]) ).

cnf(c253,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X8,inverse(X8))),multiply(multiply(X7,inverse(X7)),multiply(multiply(X6,inverse(X6)),X5)))),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X2,inverse(X2))))),multiply(multiply(X,inverse(X)),X3)))) = X5,
    inference(transitivity,[status(thm)],[c252,c129]) ).

cnf(c254,plain,
    multiply(inverse(multiply(X4,inverse(X4))),multiply(multiply(X3,inverse(X3)),multiply(multiply(X2,inverse(X2)),X))) = X,
    inference(transitivity,[status(thm)],[c250,c253]) ).

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

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

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

cnf(c258,plain,
    inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(multiply(inverse(inverse(multiply(X2,inverse(X2)))),inverse(inverse(inverse(multiply(X2,inverse(X2)))))),multiply(multiply(X,inverse(X)),inverse(multiply(X3,multiply(inverse(multiply(X2,inverse(X2))),multiply(inverse(inverse(multiply(X2,inverse(X2)))),inverse(inverse(inverse(multiply(X2,inverse(X2))))))))))))) = X3,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c259,plain,
    inverse(inverse(multiply(X2,multiply(inverse(multiply(X,inverse(X))),multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(inverse(inverse(multiply(X,inverse(X)))))))))) = X2,
    inference(transitivity,[status(thm)],[c257,c258]) ).

cnf(c260,plain,
    inverse(inverse(multiply(X2,multiply(inverse(multiply(X,inverse(X))),multiply(inverse(inverse(multiply(X,inverse(X)))),multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(inverse(inverse(inverse(multiply(X,inverse(X)))))))))))) = X2,
    inference(transitivity,[status(thm)],[c248,c259]) ).

cnf(c261,plain,
    inverse(inverse(multiply(X2,inverse(multiply(X,inverse(X)))))) = X2,
    inference(transitivity,[status(thm)],[c227,c260]) ).

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

cnf(c263,plain,
    inverse(inverse(multiply(X2,inverse(X2)))) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c121,c262]) ).

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

cnf(c265,plain,
    multiply(multiply(X2,inverse(X2)),multiply(multiply(X,inverse(X)),inverse(multiply(X5,multiply(X4,inverse(X4)))))) = multiply(inverse(inverse(multiply(X3,inverse(X3)))),multiply(multiply(X,inverse(X)),inverse(multiply(X5,multiply(X4,inverse(X4)))))),
    inference(congruence,[status(thm)],[c264]) ).

cnf(c266,plain,
    multiply(inverse(multiply(X3,inverse(X3))),multiply(multiply(X2,inverse(X2)),multiply(multiply(X,inverse(X)),inverse(multiply(X5,multiply(X4,inverse(X4))))))) = multiply(inverse(multiply(X3,inverse(X3))),multiply(inverse(inverse(multiply(X3,inverse(X3)))),multiply(multiply(X,inverse(X)),inverse(multiply(X5,multiply(X4,inverse(X4))))))),
    inference(congruence,[status(thm)],[c265]) ).

cnf(c267,plain,
    inverse(multiply(inverse(multiply(X3,inverse(X3))),multiply(multiply(X2,inverse(X2)),multiply(multiply(X,inverse(X)),inverse(multiply(X5,multiply(X4,inverse(X4)))))))) = inverse(multiply(inverse(multiply(X3,inverse(X3))),multiply(inverse(inverse(multiply(X3,inverse(X3)))),multiply(multiply(X,inverse(X)),inverse(multiply(X5,multiply(X4,inverse(X4)))))))),
    inference(congruence,[status(thm)],[c266]) ).

cnf(c268,plain,
    inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(inverse(inverse(multiply(X2,inverse(X2)))),multiply(multiply(X,inverse(X)),inverse(multiply(X4,multiply(X3,inverse(X3)))))))) = X4,
    inference(substitution,[status(thm)],[c47]) ).

cnf(c269,plain,
    inverse(multiply(inverse(multiply(X3,inverse(X3))),multiply(multiply(X2,inverse(X2)),multiply(multiply(X,inverse(X)),inverse(multiply(X5,multiply(X4,inverse(X4)))))))) = X5,
    inference(transitivity,[status(thm)],[c267,c268]) ).

cnf(c270,plain,
    inverse(inverse(multiply(X2,multiply(X,inverse(X))))) = X2,
    inference(transitivity,[status(thm)],[c118,c269]) ).

cnf(c271,plain,
    inverse(inverse(multiply(X2,multiply(inverse(X2),inverse(inverse(X)))))) = X,
    inference(transitivity,[status(thm)],[c81,c270]) ).

cnf(c272,plain,
    inverse(inverse(multiply(X,multiply(inverse(X),inverse(inverse(inverse(multiply(X3,multiply(inverse(X3),X2))))))))) = inverse(multiply(X3,multiply(inverse(X3),X2))),
    inference(substitution,[status(thm)],[c271]) ).

cnf(c273,plain,
    inverse(multiply(X3,multiply(inverse(X3),X2))) = inverse(inverse(multiply(X,multiply(inverse(X),inverse(inverse(inverse(multiply(X3,multiply(inverse(X3),X2))))))))),
    inference(symmetry,[status(thm)],[c272]) ).

cnf(c274,plain,
    X2 = inverse(inverse(multiply(X2,inverse(multiply(X,inverse(X)))))),
    inference(symmetry,[status(thm)],[c261]) ).

cnf(c275,plain,
    multiply(inverse(X3),X2) = multiply(inverse(X3),inverse(inverse(multiply(X2,inverse(multiply(X,inverse(X))))))),
    inference(congruence,[status(thm)],[c274]) ).

cnf(c276,plain,
    multiply(X3,multiply(inverse(X3),X2)) = multiply(X3,multiply(inverse(X3),inverse(inverse(multiply(X2,inverse(multiply(X,inverse(X)))))))),
    inference(congruence,[status(thm)],[c275]) ).

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

cnf(c278,plain,
    inverse(inverse(multiply(X3,multiply(inverse(X3),X2)))) = inverse(inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(multiply(X2,inverse(multiply(X,inverse(X)))))))))),
    inference(congruence,[status(thm)],[c277]) ).

cnf(c279,plain,
    inverse(inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(multiply(X2,inverse(multiply(X,inverse(X)))))))))) = multiply(X2,inverse(multiply(X,inverse(X)))),
    inference(substitution,[status(thm)],[c271]) ).

cnf(c280,plain,
    inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(X,inverse(X)))) = inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(multiply(X2,inverse(X2)))))))),
    inference(substitution,[status(thm)],[c78]) ).

cnf(c281,plain,
    inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(multiply(X2,inverse(X2)))))))) = inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(X,inverse(X)))),
    inference(symmetry,[status(thm)],[c280]) ).

cnf(c282,plain,
    multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(multiply(X2,inverse(X2))))))))) = multiply(multiply(X4,inverse(X4)),inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(X,inverse(X))))),
    inference(congruence,[status(thm)],[c281]) ).

cnf(c283,plain,
    inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(multiply(X2,inverse(X2)))))))))) = inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(X,inverse(X)))))),
    inference(congruence,[status(thm)],[c282]) ).

cnf(c284,plain,
    inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(multiply(X2,inverse(X2))))))))))) = inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(X,inverse(X))))))),
    inference(congruence,[status(thm)],[c283]) ).

cnf(c285,plain,
    multiply(inverse(inverse(inverse(X5))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(multiply(X2,inverse(X2)))))))))))) = multiply(inverse(inverse(inverse(X5))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(X,inverse(X)))))))),
    inference(congruence,[status(thm)],[c284]) ).

cnf(c286,plain,
    multiply(inverse(X6),multiply(inverse(inverse(inverse(X5))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(multiply(X2,inverse(X2))))))))))))) = multiply(inverse(X6),multiply(inverse(inverse(inverse(X5))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(X,inverse(X))))))))),
    inference(congruence,[status(thm)],[c285]) ).

cnf(c287,plain,
    multiply(X6,multiply(inverse(X6),multiply(inverse(inverse(inverse(X5))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(multiply(X2,inverse(X2)))))))))))))) = multiply(X6,multiply(inverse(X6),multiply(inverse(inverse(inverse(X5))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(X,inverse(X)))))))))),
    inference(congruence,[status(thm)],[c286]) ).

cnf(c288,plain,
    inverse(multiply(X6,multiply(inverse(X6),multiply(inverse(inverse(inverse(X5))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(multiply(X2,inverse(X2))))))))))))))) = inverse(multiply(X6,multiply(inverse(X6),multiply(inverse(inverse(inverse(X5))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(X,inverse(X))))))))))),
    inference(congruence,[status(thm)],[c287]) ).

cnf(c289,plain,
    multiply(X5,multiply(inverse(X5),multiply(inverse(inverse(inverse(X4))),inverse(inverse(multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(X,inverse(X)))))))))) = multiply(inverse(X4),multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(X,inverse(X))))),multiply(inverse(multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(X,inverse(X)))))),inverse(inverse(multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(X,inverse(X)))))))))),
    inference(substitution,[status(thm)],[c207]) ).

cnf(c290,plain,
    inverse(multiply(X5,multiply(inverse(X5),multiply(inverse(inverse(inverse(X4))),inverse(inverse(multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(X,inverse(X))))))))))) = inverse(multiply(inverse(X4),multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(X,inverse(X))))),multiply(inverse(multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(X,inverse(X)))))),inverse(inverse(multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(X,inverse(X))))))))))),
    inference(congruence,[status(thm)],[c289]) ).

cnf(c291,plain,
    multiply(inverse(multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(X,inverse(X)))))),inverse(inverse(multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(X,inverse(X)))))))) = multiply(multiply(X2,inverse(X2)),inverse(multiply(X2,inverse(X2)))),
    inference(substitution,[status(thm)],[c39]) ).

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

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

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

cnf(c295,plain,
    inverse(multiply(inverse(X4),multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(X,inverse(X))))),multiply(multiply(X2,inverse(X2)),inverse(multiply(X2,inverse(X2))))))) = X4,
    inference(substitution,[status(thm)],[c129]) ).

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

cnf(c297,plain,
    inverse(multiply(X5,multiply(inverse(X5),multiply(inverse(inverse(inverse(X4))),inverse(inverse(multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(X,inverse(X))))))))))) = X4,
    inference(transitivity,[status(thm)],[c290,c296]) ).

cnf(c298,plain,
    inverse(multiply(X5,multiply(inverse(X5),multiply(inverse(inverse(inverse(X4))),inverse(inverse(multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(multiply(X,inverse(X))))))))))))))) = X4,
    inference(transitivity,[status(thm)],[c288,c297]) ).

cnf(c299,plain,
    inverse(multiply(X4,multiply(inverse(X4),multiply(inverse(inverse(inverse(inverse(multiply(X5,inverse(X5)))))),inverse(inverse(multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(multiply(X,inverse(X))))))))))))))) = inverse(multiply(X5,inverse(X5))),
    inference(substitution,[status(thm)],[c298]) ).

cnf(c300,plain,
    inverse(multiply(X5,inverse(X5))) = inverse(multiply(X4,multiply(inverse(X4),multiply(inverse(inverse(inverse(inverse(multiply(X5,inverse(X5)))))),inverse(inverse(multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(multiply(X,inverse(X))))))))))))))),
    inference(symmetry,[status(thm)],[c299]) ).

cnf(c301,plain,
    inverse(inverse(inverse(multiply(X2,inverse(X2))))) = inverse(multiply(X,inverse(X))),
    inference(congruence,[status(thm)],[c263]) ).

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

cnf(c303,plain,
    multiply(inverse(inverse(inverse(inverse(multiply(X5,inverse(X5)))))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(multiply(X2,inverse(X2)))))))))))) = multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(multiply(X2,inverse(X2)))))))))))),
    inference(congruence,[status(thm)],[c302]) ).

cnf(c304,plain,
    multiply(inverse(X5),multiply(inverse(inverse(inverse(inverse(multiply(X6,inverse(X6)))))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(multiply(X2,inverse(X2))))))))))))) = multiply(inverse(X5),multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(multiply(X2,inverse(X2))))))))))))),
    inference(congruence,[status(thm)],[c303]) ).

cnf(c305,plain,
    multiply(X5,multiply(inverse(X5),multiply(inverse(inverse(inverse(inverse(multiply(X6,inverse(X6)))))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(multiply(X2,inverse(X2)))))))))))))) = multiply(X5,multiply(inverse(X5),multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(multiply(X2,inverse(X2)))))))))))))),
    inference(congruence,[status(thm)],[c304]) ).

cnf(c306,plain,
    inverse(multiply(X5,multiply(inverse(X5),multiply(inverse(inverse(inverse(inverse(multiply(X6,inverse(X6)))))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(multiply(X2,inverse(X2))))))))))))))) = inverse(multiply(X5,multiply(inverse(X5),multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(multiply(X2,inverse(X2))))))))))))))),
    inference(congruence,[status(thm)],[c305]) ).

cnf(c307,plain,
    multiply(X5,multiply(inverse(X5),multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(multiply(X2,inverse(X2)))))))))))))) = inverse(multiply(multiply(X6,inverse(X6)),inverse(multiply(X2,inverse(X2))))),
    inference(substitution,[status(thm)],[c215]) ).

cnf(c308,plain,
    inverse(multiply(X5,multiply(inverse(X5),multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(multiply(X2,inverse(X2))))))))))))))) = inverse(inverse(multiply(multiply(X6,inverse(X6)),inverse(multiply(X2,inverse(X2)))))),
    inference(congruence,[status(thm)],[c307]) ).

cnf(c309,plain,
    inverse(inverse(multiply(multiply(X2,inverse(X2)),inverse(multiply(X,inverse(X)))))) = multiply(X2,inverse(X2)),
    inference(substitution,[status(thm)],[c261]) ).

cnf(c310,plain,
    inverse(multiply(X5,multiply(inverse(X5),multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(multiply(X2,inverse(X2))))))))))))))) = multiply(X6,inverse(X6)),
    inference(transitivity,[status(thm)],[c308,c309]) ).

cnf(c311,plain,
    inverse(multiply(X4,multiply(inverse(X4),multiply(inverse(inverse(inverse(inverse(multiply(X6,inverse(X6)))))),inverse(inverse(multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(multiply(X,inverse(X))))))))))))))) = multiply(X5,inverse(X5)),
    inference(transitivity,[status(thm)],[c306,c310]) ).

cnf(c312,plain,
    inverse(multiply(X2,inverse(X2))) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c300,c311]) ).

cnf(c313,plain,
    multiply(X3,inverse(multiply(X2,inverse(X2)))) = multiply(X3,multiply(X,inverse(X))),
    inference(congruence,[status(thm)],[c312]) ).

cnf(c314,plain,
    multiply(X2,multiply(inverse(X2),inverse(inverse(X3)))) = multiply(X3,multiply(X,inverse(X))),
    inference(substitution,[status(thm)],[c137]) ).

cnf(c315,plain,
    multiply(X3,multiply(X,inverse(X))) = multiply(X2,multiply(inverse(X2),inverse(inverse(X3)))),
    inference(symmetry,[status(thm)],[c314]) ).

cnf(c316,plain,
    multiply(X3,inverse(multiply(X,inverse(X)))) = multiply(X2,multiply(inverse(X2),inverse(inverse(X3)))),
    inference(transitivity,[status(thm)],[c313,c315]) ).

cnf(c317,plain,
    inverse(inverse(multiply(X4,multiply(inverse(X4),inverse(inverse(multiply(X3,inverse(multiply(X,inverse(X)))))))))) = multiply(X2,multiply(inverse(X2),inverse(inverse(X3)))),
    inference(transitivity,[status(thm)],[c279,c316]) ).

cnf(c318,plain,
    inverse(inverse(multiply(X3,multiply(inverse(X3),X2)))) = multiply(X,multiply(inverse(X),inverse(inverse(X2)))),
    inference(transitivity,[status(thm)],[c278,c317]) ).

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

cnf(c320,plain,
    multiply(inverse(X2),inverse(inverse(inverse(multiply(X4,multiply(inverse(X4),X3)))))) = multiply(inverse(X2),inverse(multiply(X,multiply(inverse(X),inverse(inverse(X3)))))),
    inference(congruence,[status(thm)],[c319]) ).

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

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

cnf(c323,plain,
    inverse(inverse(multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(multiply(X4,multiply(inverse(X4),X3))))))))) = inverse(inverse(multiply(X2,multiply(inverse(X2),inverse(multiply(X,multiply(inverse(X),inverse(inverse(X3))))))))),
    inference(congruence,[status(thm)],[c322]) ).

cnf(c324,plain,
    inverse(inverse(multiply(X2,multiply(inverse(X2),inverse(multiply(X,multiply(inverse(X),inverse(inverse(X4))))))))) = multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(multiply(X,multiply(inverse(X),inverse(inverse(X4))))))))),
    inference(substitution,[status(thm)],[c318]) ).

cnf(c325,plain,
    inverse(inverse(multiply(X,multiply(inverse(X),inverse(inverse(X2)))))) = X2,
    inference(substitution,[status(thm)],[c271]) ).

cnf(c326,plain,
    inverse(inverse(inverse(multiply(X,multiply(inverse(X),inverse(inverse(X2))))))) = inverse(X2),
    inference(congruence,[status(thm)],[c325]) ).

cnf(c327,plain,
    multiply(inverse(X2),inverse(inverse(inverse(multiply(X,multiply(inverse(X),inverse(inverse(X3)))))))) = multiply(inverse(X2),inverse(X3)),
    inference(congruence,[status(thm)],[c326]) ).

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

cnf(c329,plain,
    inverse(inverse(multiply(X2,multiply(inverse(X2),inverse(multiply(X,multiply(inverse(X),inverse(inverse(X4))))))))) = multiply(X3,multiply(inverse(X3),inverse(X4))),
    inference(transitivity,[status(thm)],[c324,c328]) ).

cnf(c330,plain,
    inverse(inverse(multiply(X,multiply(inverse(X),inverse(inverse(inverse(multiply(X4,multiply(inverse(X4),X3))))))))) = multiply(X2,multiply(inverse(X2),inverse(X3))),
    inference(transitivity,[status(thm)],[c323,c329]) ).

cnf(c331,plain,
    inverse(multiply(X3,multiply(inverse(X3),X2))) = multiply(X,multiply(inverse(X),inverse(X2))),
    inference(transitivity,[status(thm)],[c273,c330]) ).

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

cnf(c333,plain,
    multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(inverse(X)))))) = inverse(multiply(inverse(X),multiply(inverse(inverse(X)),inverse(inverse(inverse(X)))))),
    inference(symmetry,[status(thm)],[c332]) ).

cnf(c334,plain,
    multiply(X,inverse(X)) = multiply(inverse(X2),inverse(inverse(X2))),
    inference(substitution,[status(thm)],[c39]) ).

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

cnf(c336,plain,
    inverse(inverse(multiply(X,multiply(inverse(X),inverse(inverse(inverse(inverse(X2)))))))) = inverse(inverse(X2)),
    inference(substitution,[status(thm)],[c271]) ).

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

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

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

cnf(c340,plain,
    inverse(inverse(multiply(X2,multiply(inverse(X2),multiply(X,multiply(inverse(X),inverse(inverse(inverse(inverse(X2)))))))))) = multiply(X2,multiply(inverse(X2),inverse(inverse(multiply(X,multiply(inverse(X),inverse(inverse(inverse(inverse(X2)))))))))),
    inference(substitution,[status(thm)],[c318]) ).

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

cnf(c342,plain,
    multiply(inverse(X3),multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(inverse(X3))))))) = inverse(multiply(X,inverse(X))),
    inference(substitution,[status(thm)],[c222]) ).

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

cnf(c344,plain,
    inverse(multiply(X3,multiply(inverse(X3),multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(inverse(X3))))))))) = inverse(multiply(X3,inverse(multiply(X,inverse(X))))),
    inference(congruence,[status(thm)],[c343]) ).

cnf(c345,plain,
    inverse(inverse(multiply(X3,multiply(inverse(X3),multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(inverse(X3)))))))))) = inverse(inverse(multiply(X3,inverse(multiply(X,inverse(X)))))),
    inference(congruence,[status(thm)],[c344]) ).

cnf(c346,plain,
    inverse(inverse(multiply(X2,multiply(inverse(X2),multiply(X,multiply(inverse(X),inverse(inverse(inverse(inverse(X2)))))))))) = X2,
    inference(transitivity,[status(thm)],[c345,c261]) ).

cnf(c347,plain,
    multiply(X2,multiply(inverse(X2),inverse(inverse(multiply(X,multiply(inverse(X),inverse(inverse(inverse(inverse(X2)))))))))) = X2,
    inference(transitivity,[status(thm)],[c341,c346]) ).

cnf(c348,plain,
    multiply(X,multiply(inverse(X),inverse(inverse(X)))) = X,
    inference(transitivity,[status(thm)],[c339,c347]) ).

cnf(c349,plain,
    multiply(X2,multiply(X,inverse(X))) = X2,
    inference(transitivity,[status(thm)],[c335,c348]) ).

cnf(c350,plain,
    X2 = multiply(X2,multiply(X,inverse(X))),
    inference(symmetry,[status(thm)],[c349]) ).

cnf(c351,plain,
    inverse(X2) = inverse(multiply(X2,multiply(X,inverse(X)))),
    inference(congruence,[status(thm)],[c350]) ).

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

cnf(c353,plain,
    inverse(inverse(multiply(X3,multiply(X2,inverse(X2))))) = inverse(inverse(multiply(X,multiply(inverse(X),inverse(inverse(X3)))))),
    inference(congruence,[status(thm)],[c78]) ).

cnf(c354,plain,
    inverse(inverse(multiply(X,multiply(inverse(X),inverse(inverse(X2)))))) = X2,
    inference(substitution,[status(thm)],[c271]) ).

cnf(c355,plain,
    inverse(inverse(multiply(X2,multiply(X,inverse(X))))) = X2,
    inference(transitivity,[status(thm)],[c353,c354]) ).

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

cnf(c357,plain,
    X = inverse(inverse(X)),
    inference(symmetry,[status(thm)],[c356]) ).

cnf(c358,plain,
    multiply(X2,X) = multiply(inverse(inverse(X2)),X),
    inference(congruence,[status(thm)],[c357]) ).

cnf(c359,plain,
    multiply(inverse(X2),multiply(X2,X)) = multiply(inverse(X2),multiply(inverse(inverse(X2)),X)),
    inference(congruence,[status(thm)],[c358]) ).

cnf(c360,plain,
    multiply(X,multiply(inverse(X),X2)) = multiply(inverse(X3),multiply(inverse(inverse(X3)),X2)),
    inference(substitution,[status(thm)],[c202]) ).

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

cnf(c362,plain,
    multiply(inverse(X3),multiply(X3,X2)) = multiply(X,multiply(inverse(X),X2)),
    inference(transitivity,[status(thm)],[c359,c361]) ).

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

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

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

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

cnf(c367,plain,
    multiply(inverse(X2),multiply(X2,inverse(X2))) = multiply(X,multiply(inverse(X),inverse(X2))),
    inference(substitution,[status(thm)],[c362]) ).

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

cnf(c369,plain,
    multiply(inverse(X),multiply(X,multiply(inverse(X),inverse(X2)))) = multiply(inverse(X),multiply(inverse(X2),multiply(X2,inverse(X2)))),
    inference(congruence,[status(thm)],[c368]) ).

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

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

cnf(c372,plain,
    multiply(inverse(X2),multiply(X2,multiply(inverse(X2),multiply(X2,inverse(X2))))) = multiply(X,multiply(inverse(X),multiply(inverse(X2),multiply(X2,inverse(X2))))),
    inference(substitution,[status(thm)],[c362]) ).

cnf(c373,plain,
    multiply(X,multiply(inverse(X),multiply(inverse(X2),multiply(X2,inverse(X2))))) = multiply(inverse(X2),multiply(X2,multiply(inverse(X2),multiply(X2,inverse(X2))))),
    inference(symmetry,[status(thm)],[c372]) ).

cnf(c374,plain,
    multiply(X2,multiply(X,multiply(inverse(X),multiply(inverse(X2),multiply(X2,inverse(X2)))))) = multiply(X2,multiply(inverse(X2),multiply(X2,multiply(inverse(X2),multiply(X2,inverse(X2)))))),
    inference(congruence,[status(thm)],[c373]) ).

cnf(c375,plain,
    multiply(X,inverse(X)) = inverse(multiply(X2,inverse(X2))),
    inference(symmetry,[status(thm)],[c312]) ).

cnf(c376,plain,
    multiply(multiply(X2,inverse(X2)),X) = multiply(inverse(multiply(X3,inverse(X3))),X),
    inference(congruence,[status(thm)],[c375]) ).

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

cnf(c378,plain,
    multiply(X,multiply(inverse(X),X2)) = multiply(multiply(X3,inverse(X3)),multiply(inverse(multiply(X3,inverse(X3))),X2)),
    inference(substitution,[status(thm)],[c202]) ).

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

cnf(c380,plain,
    multiply(multiply(X4,inverse(X4)),multiply(multiply(X3,inverse(X3)),X2)) = multiply(X,multiply(inverse(X),X2)),
    inference(transitivity,[status(thm)],[c377,c379]) ).

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

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

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

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

cnf(c385,plain,
    inverse(inverse(multiply(X,inverse(X)))) = multiply(X2,inverse(X2)),
    inference(substitution,[status(thm)],[c263]) ).

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

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

cnf(c388,plain,
    multiply(inverse(X4),multiply(multiply(X3,inverse(X3)),multiply(multiply(X2,inverse(X2)),multiply(X4,inverse(X4))))) = multiply(inverse(X4),multiply(inverse(inverse(multiply(X,inverse(X)))),multiply(multiply(X2,inverse(X2)),multiply(X4,inverse(X4))))),
    inference(congruence,[status(thm)],[c387]) ).

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

cnf(c390,plain,
    multiply(X4,multiply(inverse(X4),multiply(inverse(inverse(multiply(X2,inverse(X2)))),multiply(multiply(X3,inverse(X3)),multiply(X4,inverse(X4)))))) = multiply(multiply(X2,inverse(X2)),multiply(X,multiply(inverse(X),multiply(multiply(X3,inverse(X3)),multiply(X4,inverse(X4)))))),
    inference(substitution,[status(thm)],[c207]) ).

cnf(c391,plain,
    inverse(inverse(multiply(X2,inverse(X2)))) = multiply(X,inverse(X)),
    inference(substitution,[status(thm)],[c263]) ).

cnf(c392,plain,
    multiply(X2,inverse(X2)) = inverse(inverse(multiply(X,inverse(X)))),
    inference(symmetry,[status(thm)],[c391]) ).

cnf(c393,plain,
    multiply(multiply(X2,inverse(X2)),multiply(X3,inverse(X3))) = multiply(multiply(X2,inverse(X2)),inverse(inverse(multiply(X,inverse(X))))),
    inference(congruence,[status(thm)],[c392]) ).

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

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

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

cnf(c397,plain,
    inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(multiply(X4,inverse(X4)),multiply(X3,X2))))))) = multiply(X4,inverse(X4)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c398,plain,
    multiply(X4,inverse(X4)) = inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(multiply(X4,inverse(X4)),multiply(X3,X2))))))),
    inference(symmetry,[status(thm)],[c397]) ).

cnf(c399,plain,
    inverse(multiply(X4,inverse(X4))) = inverse(inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(multiply(X4,inverse(X4)),multiply(X3,X2)))))))),
    inference(congruence,[status(thm)],[c398]) ).

cnf(c400,plain,
    multiply(inverse(X5),inverse(multiply(X4,inverse(X4)))) = multiply(inverse(X5),inverse(inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(multiply(X4,inverse(X4)),multiply(X3,X2))))))))),
    inference(congruence,[status(thm)],[c399]) ).

cnf(c401,plain,
    multiply(X5,multiply(inverse(X5),inverse(multiply(X4,inverse(X4))))) = multiply(X5,multiply(inverse(X5),inverse(inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(multiply(X4,inverse(X4)),multiply(X3,X2)))))))))),
    inference(congruence,[status(thm)],[c400]) ).

cnf(c402,plain,
    multiply(X5,multiply(inverse(X5),inverse(inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(multiply(X4,inverse(X4)),multiply(X3,X2)))))))))) = multiply(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(multiply(X4,inverse(X4)),multiply(X3,X2)))))),multiply(X4,inverse(X4))),
    inference(substitution,[status(thm)],[c137]) ).

cnf(c403,plain,
    multiply(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(multiply(X5,inverse(X5)),multiply(X3,X2)))))),multiply(X5,inverse(X5))) = multiply(X4,inverse(X4)),
    inference(substitution,[status(thm)],[c90]) ).

cnf(c404,plain,
    multiply(X6,multiply(inverse(X6),inverse(inverse(multiply(X3,multiply(X2,multiply(multiply(X,inverse(X)),inverse(multiply(multiply(X5,inverse(X5)),multiply(X3,X2)))))))))) = multiply(X4,inverse(X4)),
    inference(transitivity,[status(thm)],[c402,c403]) ).

cnf(c405,plain,
    multiply(X3,multiply(inverse(X3),inverse(multiply(X2,inverse(X2))))) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c401,c404]) ).

cnf(c406,plain,
    multiply(X3,multiply(inverse(X3),inverse(multiply(X2,inverse(X2))))) = multiply(X,inverse(X)),
    inference(substitution,[status(thm)],[c405]) ).

cnf(c407,plain,
    multiply(X3,inverse(X3)) = multiply(X2,multiply(inverse(X2),inverse(multiply(X,inverse(X))))),
    inference(symmetry,[status(thm)],[c406]) ).

cnf(c408,plain,
    multiply(multiply(X5,inverse(X5)),multiply(X4,multiply(inverse(X4),multiply(multiply(X6,inverse(X6)),inverse(inverse(multiply(X3,inverse(X3)))))))) = multiply(multiply(X2,multiply(inverse(X2),inverse(multiply(X,inverse(X))))),multiply(X4,multiply(inverse(X4),multiply(multiply(X6,inverse(X6)),inverse(inverse(multiply(X3,inverse(X3)))))))),
    inference(congruence,[status(thm)],[c407]) ).

cnf(c409,plain,
    inverse(inverse(inverse(multiply(X2,inverse(X2))))) = multiply(X,inverse(X)),
    inference(substitution,[status(thm)],[c241]) ).

cnf(c410,plain,
    multiply(X2,inverse(X2)) = inverse(inverse(inverse(multiply(X,inverse(X))))),
    inference(symmetry,[status(thm)],[c409]) ).

cnf(c411,plain,
    inverse(multiply(X2,inverse(X2))) = inverse(inverse(inverse(inverse(multiply(X,inverse(X)))))),
    inference(congruence,[status(thm)],[c410]) ).

cnf(c412,plain,
    multiply(inverse(X3),inverse(multiply(X2,inverse(X2)))) = multiply(inverse(X3),inverse(inverse(inverse(inverse(multiply(X,inverse(X))))))),
    inference(congruence,[status(thm)],[c411]) ).

cnf(c413,plain,
    multiply(X3,multiply(inverse(X3),inverse(multiply(X2,inverse(X2))))) = multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(inverse(multiply(X,inverse(X)))))))),
    inference(congruence,[status(thm)],[c412]) ).

cnf(c414,plain,
    multiply(multiply(X3,multiply(inverse(X3),inverse(multiply(X2,inverse(X2))))),multiply(X5,multiply(inverse(X5),multiply(multiply(X6,inverse(X6)),inverse(inverse(multiply(X4,inverse(X4)))))))) = multiply(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(inverse(multiply(X,inverse(X)))))))),multiply(X5,multiply(inverse(X5),multiply(multiply(X6,inverse(X6)),inverse(inverse(multiply(X4,inverse(X4)))))))),
    inference(congruence,[status(thm)],[c413]) ).

cnf(c415,plain,
    inverse(inverse(inverse(multiply(X2,inverse(X2))))) = multiply(X,inverse(X)),
    inference(substitution,[status(thm)],[c241]) ).

cnf(c416,plain,
    multiply(X2,inverse(X2)) = inverse(inverse(inverse(multiply(X,inverse(X))))),
    inference(symmetry,[status(thm)],[c415]) ).

cnf(c417,plain,
    multiply(multiply(X3,inverse(X3)),inverse(inverse(multiply(X2,inverse(X2))))) = multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(inverse(multiply(X2,inverse(X2))))),
    inference(congruence,[status(thm)],[c416]) ).

cnf(c418,plain,
    multiply(inverse(X3),multiply(multiply(X4,inverse(X4)),inverse(inverse(multiply(X2,inverse(X2)))))) = multiply(inverse(X3),multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(inverse(multiply(X2,inverse(X2)))))),
    inference(congruence,[status(thm)],[c417]) ).

cnf(c419,plain,
    multiply(X3,multiply(inverse(X3),multiply(multiply(X4,inverse(X4)),inverse(inverse(multiply(X2,inverse(X2))))))) = multiply(X3,multiply(inverse(X3),multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(inverse(multiply(X2,inverse(X2))))))),
    inference(congruence,[status(thm)],[c418]) ).

cnf(c420,plain,
    multiply(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(inverse(multiply(X2,inverse(X2)))))))),multiply(X5,multiply(inverse(X5),multiply(multiply(X6,inverse(X6)),inverse(inverse(multiply(X4,inverse(X4)))))))) = multiply(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(inverse(multiply(X2,inverse(X2)))))))),multiply(X5,multiply(inverse(X5),multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(inverse(multiply(X4,inverse(X4)))))))),
    inference(congruence,[status(thm)],[c419]) ).

cnf(c421,plain,
    multiply(X3,multiply(inverse(X3),multiply(inverse(inverse(inverse(multiply(X2,inverse(X2))))),inverse(inverse(multiply(X,inverse(X))))))) = multiply(inverse(multiply(X2,inverse(X2))),multiply(multiply(X,inverse(X)),multiply(inverse(multiply(X,inverse(X))),inverse(inverse(multiply(X,inverse(X))))))),
    inference(substitution,[status(thm)],[c207]) ).

cnf(c422,plain,
    inverse(multiply(X3,multiply(inverse(X3),multiply(inverse(inverse(inverse(multiply(X2,inverse(X2))))),inverse(inverse(multiply(X,inverse(X)))))))) = inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(multiply(X,inverse(X)),multiply(inverse(multiply(X,inverse(X))),inverse(inverse(multiply(X,inverse(X)))))))),
    inference(congruence,[status(thm)],[c421]) ).

cnf(c423,plain,
    multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X,inverse(X))),multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(inverse(inverse(multiply(X,inverse(X))))))))) = inverse(multiply(X3,inverse(X3))),
    inference(substitution,[status(thm)],[c102]) ).

cnf(c424,plain,
    inverse(multiply(X3,inverse(X3))) = multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X,inverse(X))),multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(inverse(inverse(multiply(X,inverse(X))))))))),
    inference(symmetry,[status(thm)],[c423]) ).

cnf(c425,plain,
    multiply(inverse(multiply(X4,inverse(X4))),multiply(multiply(X3,inverse(X3)),multiply(inverse(multiply(X3,inverse(X3))),inverse(inverse(multiply(X3,inverse(X3))))))) = multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X,inverse(X))),multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(inverse(inverse(multiply(X,inverse(X))))))))),multiply(multiply(X3,inverse(X3)),multiply(inverse(multiply(X3,inverse(X3))),inverse(inverse(multiply(X3,inverse(X3))))))),
    inference(congruence,[status(thm)],[c424]) ).

cnf(c426,plain,
    inverse(multiply(inverse(multiply(X4,inverse(X4))),multiply(multiply(X3,inverse(X3)),multiply(inverse(multiply(X3,inverse(X3))),inverse(inverse(multiply(X3,inverse(X3)))))))) = inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X,inverse(X))),multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(inverse(inverse(multiply(X,inverse(X))))))))),multiply(multiply(X3,inverse(X3)),multiply(inverse(multiply(X3,inverse(X3))),inverse(inverse(multiply(X3,inverse(X3)))))))),
    inference(congruence,[status(thm)],[c425]) ).

cnf(c427,plain,
    multiply(X2,inverse(X2)) = multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X)))),
    inference(substitution,[status(thm)],[c39]) ).

cnf(c428,plain,
    multiply(multiply(X3,inverse(X3)),multiply(X2,inverse(X2))) = multiply(multiply(X3,inverse(X3)),multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X))))),
    inference(congruence,[status(thm)],[c427]) ).

cnf(c429,plain,
    multiply(multiply(multiply(X5,inverse(X5)),X4),multiply(multiply(X3,inverse(X3)),multiply(X2,inverse(X2)))) = multiply(multiply(multiply(X5,inverse(X5)),X4),multiply(multiply(X3,inverse(X3)),multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X)))))),
    inference(congruence,[status(thm)],[c428]) ).

cnf(c430,plain,
    inverse(multiply(multiply(multiply(X5,inverse(X5)),X4),multiply(multiply(X3,inverse(X3)),multiply(X2,inverse(X2))))) = inverse(multiply(multiply(multiply(X5,inverse(X5)),X4),multiply(multiply(X3,inverse(X3)),multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X))))))),
    inference(congruence,[status(thm)],[c429]) ).

cnf(c431,plain,
    inverse(multiply(multiply(multiply(X6,inverse(X6)),X5),multiply(multiply(X4,inverse(X4)),multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X))))))) = multiply(multiply(X3,inverse(X3)),inverse(multiply(X5,multiply(inverse(multiply(X2,inverse(X2))),inverse(multiply(X,inverse(X))))))),
    inference(substitution,[status(thm)],[c112]) ).

cnf(c432,plain,
    inverse(multiply(multiply(multiply(X7,inverse(X7)),X6),multiply(multiply(X5,inverse(X5)),multiply(X4,inverse(X4))))) = multiply(multiply(X3,inverse(X3)),inverse(multiply(X6,multiply(inverse(multiply(X2,inverse(X2))),inverse(multiply(X,inverse(X))))))),
    inference(transitivity,[status(thm)],[c430,c431]) ).

cnf(c433,plain,
    inverse(multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(inverse(inverse(multiply(X2,inverse(X2)))),inverse(inverse(inverse(multiply(X2,inverse(X2))))))))),multiply(multiply(X5,inverse(X5)),multiply(inverse(multiply(X5,inverse(X5))),inverse(inverse(multiply(X5,inverse(X5)))))))) = multiply(multiply(X,inverse(X)),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(inverse(inverse(multiply(X2,inverse(X2)))),inverse(inverse(inverse(multiply(X2,inverse(X2)))))))),multiply(inverse(multiply(X2,inverse(X2))),inverse(multiply(X4,inverse(X4))))))),
    inference(substitution,[status(thm)],[c432]) ).

cnf(c434,plain,
    multiply(multiply(X,inverse(X)),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(inverse(inverse(multiply(X2,inverse(X2)))),inverse(inverse(inverse(multiply(X2,inverse(X2)))))))),multiply(inverse(multiply(X2,inverse(X2))),inverse(multiply(X3,inverse(X3))))))) = inverse(inverse(multiply(X3,inverse(X3)))),
    inference(substitution,[status(thm)],[c71]) ).

cnf(c435,plain,
    inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X,inverse(X))),multiply(inverse(inverse(multiply(X,inverse(X)))),inverse(inverse(inverse(multiply(X,inverse(X))))))))),multiply(multiply(X4,inverse(X4)),multiply(inverse(multiply(X4,inverse(X4))),inverse(inverse(multiply(X4,inverse(X4)))))))) = inverse(inverse(multiply(X3,inverse(X3)))),
    inference(transitivity,[status(thm)],[c433,c434]) ).

cnf(c436,plain,
    inverse(multiply(inverse(multiply(X3,inverse(X3))),multiply(multiply(X2,inverse(X2)),multiply(inverse(multiply(X2,inverse(X2))),inverse(inverse(multiply(X2,inverse(X2)))))))) = inverse(inverse(multiply(X,inverse(X)))),
    inference(transitivity,[status(thm)],[c426,c435]) ).

cnf(c437,plain,
    inverse(multiply(X4,multiply(inverse(X4),multiply(inverse(inverse(inverse(multiply(X3,inverse(X3))))),inverse(inverse(multiply(X2,inverse(X2)))))))) = inverse(inverse(multiply(X,inverse(X)))),
    inference(transitivity,[status(thm)],[c422,c436]) ).

cnf(c438,plain,
    inverse(multiply(X4,multiply(inverse(X4),multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(inverse(multiply(X3,inverse(X3)))))))) = inverse(inverse(multiply(X2,inverse(X2)))),
    inference(substitution,[status(thm)],[c437]) ).

cnf(c439,plain,
    inverse(inverse(multiply(X2,inverse(X2)))) = inverse(multiply(X4,multiply(inverse(X4),multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(inverse(multiply(X3,inverse(X3)))))))),
    inference(symmetry,[status(thm)],[c438]) ).

cnf(c440,plain,
    inverse(inverse(inverse(multiply(X2,inverse(X2))))) = inverse(inverse(multiply(X4,multiply(inverse(X4),multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(inverse(multiply(X3,inverse(X3))))))))),
    inference(congruence,[status(thm)],[c439]) ).

cnf(c441,plain,
    inverse(inverse(inverse(inverse(multiply(X2,inverse(X2)))))) = inverse(inverse(inverse(multiply(X4,multiply(inverse(X4),multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(inverse(multiply(X3,inverse(X3)))))))))),
    inference(congruence,[status(thm)],[c440]) ).

cnf(c442,plain,
    multiply(inverse(X3),inverse(inverse(inverse(inverse(multiply(X2,inverse(X2))))))) = multiply(inverse(X3),inverse(inverse(inverse(multiply(X5,multiply(inverse(X5),multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(inverse(multiply(X4,inverse(X4))))))))))),
    inference(congruence,[status(thm)],[c441]) ).

cnf(c443,plain,
    multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(inverse(multiply(X2,inverse(X2)))))))) = multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(multiply(X5,multiply(inverse(X5),multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(inverse(multiply(X4,inverse(X4)))))))))))),
    inference(congruence,[status(thm)],[c442]) ).

cnf(c444,plain,
    multiply(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(inverse(multiply(X2,inverse(X2)))))))),multiply(X5,multiply(inverse(X5),multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(inverse(multiply(X4,inverse(X4)))))))) = multiply(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(multiply(X5,multiply(inverse(X5),multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(inverse(multiply(X4,inverse(X4)))))))))))),multiply(X5,multiply(inverse(X5),multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(inverse(multiply(X4,inverse(X4)))))))),
    inference(congruence,[status(thm)],[c443]) ).

cnf(c445,plain,
    inverse(multiply(X,multiply(inverse(X),inverse(inverse(X))))) = multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(X))))),
    inference(substitution,[status(thm)],[c331]) ).

cnf(c446,plain,
    multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(X))))) = inverse(multiply(X,multiply(inverse(X),inverse(inverse(X))))),
    inference(symmetry,[status(thm)],[c445]) ).

cnf(c447,plain,
    multiply(multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(X))))),X) = multiply(inverse(multiply(X,multiply(inverse(X),inverse(inverse(X))))),X),
    inference(congruence,[status(thm)],[c446]) ).

cnf(c448,plain,
    inverse(multiply(X,inverse(X))) = multiply(inverse(X2),inverse(inverse(X2))),
    inference(substitution,[status(thm)],[c312]) ).

cnf(c449,plain,
    multiply(inverse(X2),inverse(inverse(X2))) = inverse(multiply(X,inverse(X))),
    inference(symmetry,[status(thm)],[c448]) ).

cnf(c450,plain,
    multiply(X2,multiply(inverse(X2),inverse(inverse(X2)))) = multiply(X2,inverse(multiply(X,inverse(X)))),
    inference(congruence,[status(thm)],[c449]) ).

cnf(c451,plain,
    inverse(multiply(X2,multiply(inverse(X2),inverse(inverse(X2))))) = inverse(multiply(X2,inverse(multiply(X,inverse(X))))),
    inference(congruence,[status(thm)],[c450]) ).

cnf(c452,plain,
    multiply(inverse(multiply(X2,multiply(inverse(X2),inverse(inverse(X2))))),X2) = multiply(inverse(multiply(X2,inverse(multiply(X,inverse(X))))),X2),
    inference(congruence,[status(thm)],[c451]) ).

cnf(c453,plain,
    X2 = inverse(inverse(multiply(X2,inverse(multiply(X,inverse(X)))))),
    inference(symmetry,[status(thm)],[c261]) ).

cnf(c454,plain,
    multiply(inverse(multiply(X2,inverse(multiply(X,inverse(X))))),X2) = multiply(inverse(multiply(X2,inverse(multiply(X,inverse(X))))),inverse(inverse(multiply(X2,inverse(multiply(X,inverse(X))))))),
    inference(congruence,[status(thm)],[c453]) ).

cnf(c455,plain,
    multiply(X2,inverse(X2)) = multiply(inverse(multiply(X3,inverse(multiply(X,inverse(X))))),inverse(inverse(multiply(X3,inverse(multiply(X,inverse(X))))))),
    inference(substitution,[status(thm)],[c39]) ).

cnf(c456,plain,
    multiply(inverse(multiply(X3,inverse(multiply(X,inverse(X))))),inverse(inverse(multiply(X3,inverse(multiply(X,inverse(X))))))) = multiply(X2,inverse(X2)),
    inference(symmetry,[status(thm)],[c455]) ).

cnf(c457,plain,
    multiply(inverse(multiply(X3,inverse(multiply(X,inverse(X))))),X3) = multiply(X2,inverse(X2)),
    inference(transitivity,[status(thm)],[c454,c456]) ).

cnf(c458,plain,
    multiply(inverse(multiply(X2,multiply(inverse(X2),inverse(inverse(X2))))),X2) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c452,c457]) ).

cnf(c459,plain,
    multiply(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(X2))))),X2) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c447,c458]) ).

cnf(c460,plain,
    multiply(multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(multiply(X4,multiply(inverse(X4),multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(inverse(multiply(X3,inverse(X3)))))))))))),multiply(X4,multiply(inverse(X4),multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(inverse(multiply(X3,inverse(X3)))))))) = multiply(X5,inverse(X5)),
    inference(substitution,[status(thm)],[c459]) ).

cnf(c461,plain,
    multiply(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(inverse(multiply(X2,inverse(X2)))))))),multiply(X5,multiply(inverse(X5),multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(inverse(multiply(X4,inverse(X4)))))))) = multiply(X6,inverse(X6)),
    inference(transitivity,[status(thm)],[c444,c460]) ).

cnf(c462,plain,
    multiply(multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(inverse(multiply(X,inverse(X)))))))),multiply(X4,multiply(inverse(X4),multiply(multiply(X5,inverse(X5)),inverse(inverse(multiply(X3,inverse(X3)))))))) = multiply(X6,inverse(X6)),
    inference(transitivity,[status(thm)],[c420,c461]) ).

cnf(c463,plain,
    multiply(multiply(X2,multiply(inverse(X2),inverse(multiply(X,inverse(X))))),multiply(X4,multiply(inverse(X4),multiply(multiply(X5,inverse(X5)),inverse(inverse(multiply(X3,inverse(X3)))))))) = multiply(X6,inverse(X6)),
    inference(transitivity,[status(thm)],[c414,c462]) ).

cnf(c464,plain,
    multiply(multiply(X3,inverse(X3)),multiply(X2,multiply(inverse(X2),multiply(multiply(X4,inverse(X4)),inverse(inverse(multiply(X,inverse(X)))))))) = multiply(X5,inverse(X5)),
    inference(transitivity,[status(thm)],[c408,c463]) ).

cnf(c465,plain,
    multiply(multiply(X2,inverse(X2)),multiply(X,multiply(inverse(X),multiply(multiply(X3,inverse(X3)),multiply(X5,inverse(X5)))))) = multiply(X4,inverse(X4)),
    inference(transitivity,[status(thm)],[c396,c464]) ).

cnf(c466,plain,
    multiply(X4,multiply(inverse(X4),multiply(inverse(inverse(multiply(X,inverse(X)))),multiply(multiply(X2,inverse(X2)),multiply(X4,inverse(X4)))))) = multiply(X3,inverse(X3)),
    inference(transitivity,[status(thm)],[c390,c465]) ).

cnf(c467,plain,
    multiply(X4,multiply(inverse(X4),multiply(multiply(X2,inverse(X2)),multiply(multiply(X,inverse(X)),multiply(X4,inverse(X4)))))) = multiply(X3,inverse(X3)),
    inference(transitivity,[status(thm)],[c389,c466]) ).

cnf(c468,plain,
    multiply(X2,multiply(inverse(X2),multiply(X2,multiply(inverse(X2),multiply(X2,inverse(X2)))))) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c384,c467]) ).

cnf(c469,plain,
    multiply(X3,multiply(X2,multiply(inverse(X2),multiply(inverse(X3),multiply(X3,inverse(X3)))))) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c374,c468]) ).

cnf(c470,plain,
    multiply(X3,multiply(X2,multiply(inverse(X2),multiply(X2,multiply(inverse(X2),inverse(X3)))))) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c371,c469]) ).

cnf(c471,plain,
    multiply(X4,multiply(X3,multiply(X2,multiply(inverse(X2),multiply(inverse(X3),inverse(X4)))))) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c366,c470]) ).

cnf(c472,plain,
    multiply(inverse(X),multiply(X,multiply(inverse(X),multiply(inverse(inverse(X)),multiply(inverse(X),inverse(inverse(X))))))) = multiply(inverse(inverse(X2)),inverse(inverse(inverse(X2)))),
    inference(substitution,[status(thm)],[c471]) ).

cnf(c473,plain,
    multiply(inverse(inverse(X2)),inverse(inverse(inverse(X2)))) = multiply(inverse(X),multiply(X,multiply(inverse(X),multiply(inverse(inverse(X)),multiply(inverse(X),inverse(inverse(X))))))),
    inference(symmetry,[status(thm)],[c472]) ).

cnf(c474,plain,
    multiply(inverse(X2),multiply(inverse(inverse(X2)),inverse(inverse(inverse(X2))))) = multiply(inverse(X2),multiply(inverse(X),multiply(X,multiply(inverse(X),multiply(inverse(inverse(X)),multiply(inverse(X),inverse(inverse(X)))))))),
    inference(congruence,[status(thm)],[c473]) ).

cnf(c475,plain,
    inverse(multiply(inverse(X2),multiply(inverse(inverse(X2)),inverse(inverse(inverse(X2)))))) = inverse(multiply(inverse(X2),multiply(inverse(X),multiply(X,multiply(inverse(X),multiply(inverse(inverse(X)),multiply(inverse(X),inverse(inverse(X))))))))),
    inference(congruence,[status(thm)],[c474]) ).

cnf(c476,plain,
    inverse(inverse(inverse(multiply(X,inverse(X))))) = multiply(inverse(X2),inverse(inverse(X2))),
    inference(substitution,[status(thm)],[c241]) ).

cnf(c477,plain,
    multiply(inverse(X2),inverse(inverse(X2))) = inverse(inverse(inverse(multiply(X,inverse(X))))),
    inference(symmetry,[status(thm)],[c476]) ).

cnf(c478,plain,
    multiply(inverse(inverse(X2)),multiply(inverse(X2),inverse(inverse(X2)))) = multiply(inverse(inverse(X2)),inverse(inverse(inverse(multiply(X,inverse(X)))))),
    inference(congruence,[status(thm)],[c477]) ).

cnf(c479,plain,
    multiply(inverse(X2),multiply(inverse(inverse(X2)),multiply(inverse(X2),inverse(inverse(X2))))) = multiply(inverse(X2),multiply(inverse(inverse(X2)),inverse(inverse(inverse(multiply(X,inverse(X))))))),
    inference(congruence,[status(thm)],[c478]) ).

cnf(c480,plain,
    multiply(X2,multiply(inverse(X2),multiply(inverse(inverse(X2)),multiply(inverse(X2),inverse(inverse(X2)))))) = multiply(X2,multiply(inverse(X2),multiply(inverse(inverse(X2)),inverse(inverse(inverse(multiply(X,inverse(X)))))))),
    inference(congruence,[status(thm)],[c479]) ).

cnf(c481,plain,
    multiply(inverse(X2),multiply(X2,multiply(inverse(X2),multiply(inverse(inverse(X2)),multiply(inverse(X2),inverse(inverse(X2))))))) = multiply(inverse(X2),multiply(X2,multiply(inverse(X2),multiply(inverse(inverse(X2)),inverse(inverse(inverse(multiply(X,inverse(X))))))))),
    inference(congruence,[status(thm)],[c480]) ).

cnf(c482,plain,
    multiply(inverse(X3),multiply(inverse(X2),multiply(X2,multiply(inverse(X2),multiply(inverse(inverse(X2)),multiply(inverse(X2),inverse(inverse(X2)))))))) = multiply(inverse(X3),multiply(inverse(X2),multiply(X2,multiply(inverse(X2),multiply(inverse(inverse(X2)),inverse(inverse(inverse(multiply(X,inverse(X)))))))))),
    inference(congruence,[status(thm)],[c481]) ).

cnf(c483,plain,
    inverse(multiply(inverse(X3),multiply(inverse(X2),multiply(X2,multiply(inverse(X2),multiply(inverse(inverse(X2)),multiply(inverse(X2),inverse(inverse(X2))))))))) = inverse(multiply(inverse(X3),multiply(inverse(X2),multiply(X2,multiply(inverse(X2),multiply(inverse(inverse(X2)),inverse(inverse(inverse(multiply(X,inverse(X))))))))))),
    inference(congruence,[status(thm)],[c482]) ).

cnf(c484,plain,
    multiply(inverse(inverse(X2)),multiply(inverse(X2),multiply(inverse(inverse(X2)),inverse(inverse(inverse(multiply(X,inverse(X)))))))) = multiply(X2,multiply(inverse(X2),multiply(inverse(inverse(X2)),inverse(inverse(inverse(multiply(X,inverse(X)))))))),
    inference(substitution,[status(thm)],[c362]) ).

cnf(c485,plain,
    multiply(X2,multiply(inverse(X2),multiply(inverse(inverse(X2)),inverse(inverse(inverse(multiply(X,inverse(X)))))))) = multiply(inverse(inverse(X2)),multiply(inverse(X2),multiply(inverse(inverse(X2)),inverse(inverse(inverse(multiply(X,inverse(X)))))))),
    inference(symmetry,[status(thm)],[c484]) ).

cnf(c486,plain,
    multiply(inverse(X2),multiply(X2,multiply(inverse(X2),multiply(inverse(inverse(X2)),inverse(inverse(inverse(multiply(X,inverse(X))))))))) = multiply(inverse(X2),multiply(inverse(inverse(X2)),multiply(inverse(X2),multiply(inverse(inverse(X2)),inverse(inverse(inverse(multiply(X,inverse(X))))))))),
    inference(congruence,[status(thm)],[c485]) ).

cnf(c487,plain,
    multiply(inverse(X3),multiply(inverse(X2),multiply(X2,multiply(inverse(X2),multiply(inverse(inverse(X2)),inverse(inverse(inverse(multiply(X,inverse(X)))))))))) = multiply(inverse(X3),multiply(inverse(X2),multiply(inverse(inverse(X2)),multiply(inverse(X2),multiply(inverse(inverse(X2)),inverse(inverse(inverse(multiply(X,inverse(X)))))))))),
    inference(congruence,[status(thm)],[c486]) ).

cnf(c488,plain,
    inverse(multiply(inverse(X3),multiply(inverse(X2),multiply(X2,multiply(inverse(X2),multiply(inverse(inverse(X2)),inverse(inverse(inverse(multiply(X,inverse(X))))))))))) = inverse(multiply(inverse(X3),multiply(inverse(X2),multiply(inverse(inverse(X2)),multiply(inverse(X2),multiply(inverse(inverse(X2)),inverse(inverse(inverse(multiply(X,inverse(X))))))))))),
    inference(congruence,[status(thm)],[c487]) ).

cnf(c489,plain,
    multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X2,inverse(X2)))),multiply(multiply(X,inverse(X)),multiply(inverse(X4),multiply(inverse(inverse(X4)),inverse(inverse(inverse(multiply(X3,inverse(X3))))))))) = multiply(inverse(X4),multiply(inverse(inverse(X4)),multiply(inverse(X4),multiply(inverse(inverse(X4)),inverse(inverse(inverse(multiply(X3,inverse(X3))))))))),
    inference(substitution,[status(thm)],[c380]) ).

cnf(c490,plain,
    multiply(inverse(X4),multiply(inverse(inverse(X4)),multiply(inverse(X4),multiply(inverse(inverse(X4)),inverse(inverse(inverse(multiply(X3,inverse(X3))))))))) = multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X2,inverse(X2)))),multiply(multiply(X,inverse(X)),multiply(inverse(X4),multiply(inverse(inverse(X4)),inverse(inverse(inverse(multiply(X3,inverse(X3))))))))),
    inference(symmetry,[status(thm)],[c489]) ).

cnf(c491,plain,
    multiply(inverse(X5),multiply(inverse(X4),multiply(inverse(inverse(X4)),multiply(inverse(X4),multiply(inverse(inverse(X4)),inverse(inverse(inverse(multiply(X3,inverse(X3)))))))))) = multiply(inverse(X5),multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X2,inverse(X2)))),multiply(multiply(X,inverse(X)),multiply(inverse(X4),multiply(inverse(inverse(X4)),inverse(inverse(inverse(multiply(X3,inverse(X3)))))))))),
    inference(congruence,[status(thm)],[c490]) ).

cnf(c492,plain,
    inverse(multiply(inverse(X5),multiply(inverse(X4),multiply(inverse(inverse(X4)),multiply(inverse(X4),multiply(inverse(inverse(X4)),inverse(inverse(inverse(multiply(X3,inverse(X3))))))))))) = inverse(multiply(inverse(X5),multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X2,inverse(X2)))),multiply(multiply(X,inverse(X)),multiply(inverse(X4),multiply(inverse(inverse(X4)),inverse(inverse(inverse(multiply(X3,inverse(X3))))))))))),
    inference(congruence,[status(thm)],[c491]) ).

cnf(c493,plain,
    multiply(multiply(inverse(X3),multiply(inverse(inverse(X3)),inverse(inverse(inverse(multiply(X2,inverse(X2))))))),multiply(X2,inverse(X2))) = multiply(X,inverse(X)),
    inference(substitution,[status(thm)],[c459]) ).

cnf(c494,plain,
    multiply(X,inverse(X)) = multiply(multiply(inverse(X3),multiply(inverse(inverse(X3)),inverse(inverse(inverse(multiply(X2,inverse(X2))))))),multiply(X2,inverse(X2))),
    inference(symmetry,[status(thm)],[c493]) ).

cnf(c495,plain,
    inverse(multiply(X,inverse(X))) = inverse(multiply(multiply(inverse(X3),multiply(inverse(inverse(X3)),inverse(inverse(inverse(multiply(X2,inverse(X2))))))),multiply(X2,inverse(X2)))),
    inference(congruence,[status(thm)],[c494]) ).

cnf(c496,plain,
    multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X)))) = multiply(multiply(X,inverse(X)),inverse(multiply(multiply(inverse(X3),multiply(inverse(inverse(X3)),inverse(inverse(inverse(multiply(X2,inverse(X2))))))),multiply(X2,inverse(X2))))),
    inference(congruence,[status(thm)],[c495]) ).

cnf(c497,plain,
    multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X2,inverse(X2)))),multiply(multiply(X,inverse(X)),multiply(inverse(X4),multiply(inverse(inverse(X4)),inverse(inverse(inverse(multiply(X3,inverse(X3))))))))) = multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(inverse(X4),multiply(inverse(inverse(X4)),inverse(inverse(inverse(multiply(X3,inverse(X3))))))),multiply(X3,inverse(X3))))),multiply(multiply(X,inverse(X)),multiply(inverse(X4),multiply(inverse(inverse(X4)),inverse(inverse(inverse(multiply(X3,inverse(X3))))))))),
    inference(congruence,[status(thm)],[c496]) ).

cnf(c498,plain,
    multiply(inverse(X5),multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X2,inverse(X2)))),multiply(multiply(X,inverse(X)),multiply(inverse(X4),multiply(inverse(inverse(X4)),inverse(inverse(inverse(multiply(X3,inverse(X3)))))))))) = multiply(inverse(X5),multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(inverse(X4),multiply(inverse(inverse(X4)),inverse(inverse(inverse(multiply(X3,inverse(X3))))))),multiply(X3,inverse(X3))))),multiply(multiply(X,inverse(X)),multiply(inverse(X4),multiply(inverse(inverse(X4)),inverse(inverse(inverse(multiply(X3,inverse(X3)))))))))),
    inference(congruence,[status(thm)],[c497]) ).

cnf(c499,plain,
    inverse(multiply(inverse(X5),multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X2,inverse(X2)))),multiply(multiply(X,inverse(X)),multiply(inverse(X4),multiply(inverse(inverse(X4)),inverse(inverse(inverse(multiply(X3,inverse(X3))))))))))) = inverse(multiply(inverse(X5),multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(inverse(X4),multiply(inverse(inverse(X4)),inverse(inverse(inverse(multiply(X3,inverse(X3))))))),multiply(X3,inverse(X3))))),multiply(multiply(X,inverse(X)),multiply(inverse(X4),multiply(inverse(inverse(X4)),inverse(inverse(inverse(multiply(X3,inverse(X3))))))))))),
    inference(congruence,[status(thm)],[c498]) ).

cnf(c500,plain,
    inverse(multiply(inverse(X5),multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(inverse(X4),multiply(inverse(inverse(X4)),inverse(inverse(inverse(multiply(X3,inverse(X3))))))),multiply(X3,inverse(X3))))),multiply(multiply(X,inverse(X)),multiply(inverse(X4),multiply(inverse(inverse(X4)),inverse(inverse(inverse(multiply(X3,inverse(X3))))))))))) = X5,
    inference(substitution,[status(thm)],[c129]) ).

cnf(c501,plain,
    inverse(multiply(inverse(X5),multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X2,inverse(X2)))),multiply(multiply(X,inverse(X)),multiply(inverse(X4),multiply(inverse(inverse(X4)),inverse(inverse(inverse(multiply(X3,inverse(X3))))))))))) = X5,
    inference(transitivity,[status(thm)],[c499,c500]) ).

cnf(c502,plain,
    inverse(multiply(inverse(X3),multiply(inverse(X2),multiply(inverse(inverse(X2)),multiply(inverse(X2),multiply(inverse(inverse(X2)),inverse(inverse(inverse(multiply(X,inverse(X))))))))))) = X3,
    inference(transitivity,[status(thm)],[c492,c501]) ).

cnf(c503,plain,
    inverse(multiply(inverse(X3),multiply(inverse(X2),multiply(X2,multiply(inverse(X2),multiply(inverse(inverse(X2)),inverse(inverse(inverse(multiply(X,inverse(X))))))))))) = X3,
    inference(transitivity,[status(thm)],[c488,c502]) ).

cnf(c504,plain,
    inverse(multiply(inverse(X2),multiply(inverse(X),multiply(X,multiply(inverse(X),multiply(inverse(inverse(X)),multiply(inverse(X),inverse(inverse(X))))))))) = X2,
    inference(transitivity,[status(thm)],[c483,c503]) ).

cnf(c505,plain,
    inverse(multiply(inverse(X),multiply(inverse(inverse(X)),inverse(inverse(inverse(X)))))) = X,
    inference(transitivity,[status(thm)],[c475,c504]) ).

cnf(c506,plain,
    multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(inverse(X)))))) = X,
    inference(transitivity,[status(thm)],[c333,c505]) ).

cnf(c507,plain,
    multiply(X,multiply(inverse(X),inverse(inverse(inverse(inverse(X2)))))) = X2,
    inference(substitution,[status(thm)],[c506]) ).

cnf(c508,plain,
    X2 = multiply(X,multiply(inverse(X),inverse(inverse(inverse(inverse(X2)))))),
    inference(symmetry,[status(thm)],[c507]) ).

cnf(c509,plain,
    multiply(inverse(X2),X2) = multiply(inverse(X2),multiply(X,multiply(inverse(X),inverse(inverse(inverse(inverse(X2))))))),
    inference(congruence,[status(thm)],[c508]) ).

cnf(c510,plain,
    multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(X3))))) = multiply(inverse(X3),multiply(X,inverse(X))),
    inference(substitution,[status(thm)],[c137]) ).

cnf(c511,plain,
    multiply(X3,multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(X3)))))) = multiply(X3,multiply(inverse(X3),multiply(X,inverse(X)))),
    inference(congruence,[status(thm)],[c510]) ).

cnf(c512,plain,
    multiply(X2,multiply(inverse(X2),multiply(X,inverse(X)))) = multiply(X3,multiply(inverse(X3),multiply(X,inverse(X)))),
    inference(substitution,[status(thm)],[c202]) ).

cnf(c513,plain,
    multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(X3))))) = multiply(inverse(X3),multiply(X,inverse(X))),
    inference(substitution,[status(thm)],[c137]) ).

cnf(c514,plain,
    multiply(inverse(X3),multiply(X,inverse(X))) = multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(X3))))),
    inference(symmetry,[status(thm)],[c513]) ).

cnf(c515,plain,
    multiply(X3,multiply(inverse(X3),multiply(X,inverse(X)))) = multiply(X3,multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(X3)))))),
    inference(congruence,[status(thm)],[c514]) ).

cnf(c516,plain,
    multiply(X2,multiply(inverse(X2),multiply(X,inverse(X)))) = multiply(X4,multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(X4)))))),
    inference(transitivity,[status(thm)],[c512,c515]) ).

cnf(c517,plain,
    multiply(X2,multiply(X,multiply(inverse(X),inverse(inverse(inverse(X2)))))) = multiply(X4,multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(X4)))))),
    inference(transitivity,[status(thm)],[c511,c516]) ).

cnf(c518,plain,
    multiply(X3,multiply(X,multiply(inverse(X),inverse(inverse(inverse(X3)))))) = multiply(inverse(X4),multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(inverse(X4))))))),
    inference(substitution,[status(thm)],[c517]) ).

cnf(c519,plain,
    multiply(inverse(X4),multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(inverse(X4))))))) = multiply(X3,multiply(X,multiply(inverse(X),inverse(inverse(inverse(X3)))))),
    inference(symmetry,[status(thm)],[c518]) ).

cnf(c520,plain,
    inverse(inverse(inverse(X))) = inverse(X),
    inference(congruence,[status(thm)],[c356]) ).

cnf(c521,plain,
    multiply(inverse(X),inverse(inverse(inverse(X2)))) = multiply(inverse(X),inverse(X2)),
    inference(congruence,[status(thm)],[c520]) ).

cnf(c522,plain,
    multiply(X,multiply(inverse(X),inverse(inverse(inverse(X2))))) = multiply(X,multiply(inverse(X),inverse(X2))),
    inference(congruence,[status(thm)],[c521]) ).

cnf(c523,plain,
    multiply(X2,multiply(X,multiply(inverse(X),inverse(inverse(inverse(X2)))))) = multiply(X2,multiply(X,multiply(inverse(X),inverse(X2)))),
    inference(congruence,[status(thm)],[c522]) ).

cnf(c524,plain,
    X = inverse(inverse(X)),
    inference(symmetry,[status(thm)],[c356]) ).

cnf(c525,plain,
    inverse(X) = inverse(inverse(inverse(X))),
    inference(congruence,[status(thm)],[c524]) ).

cnf(c526,plain,
    multiply(inverse(X2),inverse(X)) = multiply(inverse(X2),inverse(inverse(inverse(X)))),
    inference(congruence,[status(thm)],[c525]) ).

cnf(c527,plain,
    multiply(X2,multiply(inverse(X2),inverse(X))) = multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(X))))),
    inference(congruence,[status(thm)],[c526]) ).

cnf(c528,plain,
    inverse(inverse(multiply(X,multiply(inverse(X),inverse(X2))))) = multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(X2))))),
    inference(substitution,[status(thm)],[c318]) ).

cnf(c529,plain,
    multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(X2))))) = inverse(inverse(multiply(X,multiply(inverse(X),inverse(X2))))),
    inference(symmetry,[status(thm)],[c528]) ).

cnf(c530,plain,
    X = inverse(inverse(X)),
    inference(symmetry,[status(thm)],[c356]) ).

cnf(c531,plain,
    inverse(X) = inverse(inverse(inverse(X))),
    inference(congruence,[status(thm)],[c530]) ).

cnf(c532,plain,
    multiply(inverse(X),inverse(X2)) = multiply(inverse(X),inverse(inverse(inverse(X2)))),
    inference(congruence,[status(thm)],[c531]) ).

cnf(c533,plain,
    multiply(X,multiply(inverse(X),inverse(X2))) = multiply(X,multiply(inverse(X),inverse(inverse(inverse(X2))))),
    inference(congruence,[status(thm)],[c532]) ).

cnf(c534,plain,
    inverse(multiply(X,multiply(inverse(X),inverse(X2)))) = inverse(multiply(X,multiply(inverse(X),inverse(inverse(inverse(X2)))))),
    inference(congruence,[status(thm)],[c533]) ).

cnf(c535,plain,
    inverse(inverse(multiply(X,multiply(inverse(X),inverse(X2))))) = inverse(inverse(multiply(X,multiply(inverse(X),inverse(inverse(inverse(X2))))))),
    inference(congruence,[status(thm)],[c534]) ).

cnf(c536,plain,
    inverse(inverse(multiply(X,multiply(inverse(X),inverse(inverse(inverse(X2))))))) = inverse(X2),
    inference(substitution,[status(thm)],[c271]) ).

cnf(c537,plain,
    inverse(inverse(multiply(X,multiply(inverse(X),inverse(X2))))) = inverse(X2),
    inference(transitivity,[status(thm)],[c535,c536]) ).

cnf(c538,plain,
    multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(X))))) = inverse(X),
    inference(transitivity,[status(thm)],[c529,c537]) ).

cnf(c539,plain,
    multiply(X2,multiply(inverse(X2),inverse(X))) = inverse(X),
    inference(transitivity,[status(thm)],[c527,c538]) ).

cnf(c540,plain,
    multiply(X,multiply(inverse(X),inverse(X2))) = inverse(X2),
    inference(substitution,[status(thm)],[c539]) ).

cnf(c541,plain,
    multiply(X2,multiply(X,multiply(inverse(X),inverse(X2)))) = multiply(X2,inverse(X2)),
    inference(congruence,[status(thm)],[c540]) ).

cnf(c542,plain,
    multiply(X2,multiply(X,multiply(inverse(X),inverse(inverse(inverse(X2)))))) = multiply(X2,inverse(X2)),
    inference(transitivity,[status(thm)],[c523,c541]) ).

cnf(c543,plain,
    multiply(inverse(X3),multiply(X,multiply(inverse(X),inverse(inverse(inverse(inverse(X3))))))) = multiply(X2,inverse(X2)),
    inference(transitivity,[status(thm)],[c519,c542]) ).

cnf(c544,plain,
    multiply(inverse(X2),X2) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c509,c543]) ).

cnf(c545,plain,
    multiply(inverse(a1),a1) = multiply(X,inverse(X)),
    inference(substitution,[status(thm)],[c544]) ).

cnf(c546,plain,
    multiply(inverse(b1),b1) = multiply(X,inverse(X)),
    inference(substitution,[status(thm)],[c544]) ).

cnf(c547,plain,
    multiply(X,inverse(X)) = multiply(inverse(b1),b1),
    inference(symmetry,[status(thm)],[c546]) ).

cnf(c548,plain,
    multiply(inverse(a1),a1) = multiply(inverse(b1),b1),
    inference(transitivity,[status(thm)],[c545,c547]) ).

cnf(c549,plain,
    $false,
    inference(resolution,[status(thm)],[c1,c548]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : GRP442-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.02  % Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/0.30  % Computer : n012.cluster.edu
% 0.04/0.30  % Model    : x86_64 x86_64
% 0.04/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30  % Memory   : 8046.5625MB
% 0.04/0.30  % OS       : Linux 6.8.0-71-generic
% 0.04/0.30  % CPULimit : 300
% 0.04/0.30  % WCLimit  : 300
% 0.04/0.30  % DateTime : Sun Sep 27 10:04:19 UTC 2026
% 0.04/0.30  % CPUTime  : 
% 0.04/0.30  Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.42  Command-line arguments: --no-flatten-goal
% 0.07/0.42  
% 0.07/0.42  % SZS status Unsatisfiable
% 0.07/0.42  
% 0.82/0.47  % SZS output start CNFRefutation
% See solution above
% 2.79/0.78  
% 2.79/0.78  RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------