Twee---2.7.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : GRP437-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 10:10:22 AM UTC 2026

% Result   : Unsatisfiable 1.58s 0.65s
% Output   : CNFRefutation 9.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  203
%            Number of leaves      :    2
% Syntax   : Number of clauses     :  768 ( 768 unt;   0 nHn;   3 RR)
%            Number of literals    :  768 ( 767 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   : 3108 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).

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

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

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

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

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

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

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

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

cnf(c10,plain,
    multiply(X5,inverse(multiply(multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X3,X2))),inverse(X))),multiply(X,multiply(multiply(inverse(X),inverse(multiply(X2,multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X3,X2))),inverse(X)))))),X5))))) = X2,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c11,plain,
    multiply(X5,inverse(multiply(multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X3,X2))),inverse(X))),multiply(X,multiply(X3,X5))))) = X2,
    inference(transitivity,[status(thm)],[c9,c10]) ).

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

cnf(c13,plain,
    multiply(inverse(X5),inverse(multiply(X4,inverse(X4)))) = multiply(X3,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X5,multiply(inverse(X5),inverse(multiply(X4,inverse(X4))))))),inverse(X))),multiply(X,multiply(X5,X3))))),
    inference(symmetry,[status(thm)],[c12]) ).

cnf(c14,plain,
    multiply(inverse(X3),inverse(multiply(X,multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X2,X))),inverse(X3)))))) = X2,
    inference(substitution,[status(thm)],[c2]) ).

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

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

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

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

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

cnf(c20,plain,
    multiply(X6,inverse(multiply(multiply(X5,multiply(X4,inverse(X3))),multiply(X3,multiply(X2,X6))))) = multiply(X6,inverse(multiply(multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(X4,X2))),inverse(X5)))))),inverse(X3))),multiply(X3,multiply(X2,X6))))),
    inference(congruence,[status(thm)],[c19]) ).

cnf(c21,plain,
    multiply(X6,inverse(multiply(multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(X4,X2))),inverse(X5)))))),inverse(X3))),multiply(X3,multiply(X2,X6))))) = multiply(X,multiply(multiply(inverse(X),inverse(multiply(X4,X2))),inverse(X5))),
    inference(substitution,[status(thm)],[c11]) ).

cnf(c22,plain,
    multiply(X6,inverse(multiply(multiply(X5,multiply(X4,inverse(X3))),multiply(X3,multiply(X2,X6))))) = multiply(X,multiply(multiply(inverse(X),inverse(multiply(X4,X2))),inverse(X5))),
    inference(transitivity,[status(thm)],[c20,c21]) ).

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

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

cnf(c25,plain,
    multiply(X2,inverse(multiply(multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X4,X3))),inverse(X))),multiply(X,multiply(X4,X2))))) = X3,
    inference(substitution,[status(thm)],[c11]) ).

cnf(c26,plain,
    multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(multiply(inverse(X3),inverse(multiply(X2,X))),X2))),inverse(X3))) = X,
    inference(transitivity,[status(thm)],[c24,c25]) ).

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

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

cnf(c29,plain,
    multiply(X,inverse(multiply(X4,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X2,X4))),X))))) = X2,
    inference(substitution,[status(thm)],[c2]) ).

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

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

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

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

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

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

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

cnf(c37,plain,
    inverse(multiply(X6,multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X4,X6))),X3)))) = multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(inverse(X),inverse(X4)),X3))),inverse(X))),
    inference(transitivity,[status(thm)],[c28,c36]) ).

cnf(c38,plain,
    inverse(multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(X3,X2))),X3)))) = multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(multiply(inverse(X4),inverse(X3)),X3))),inverse(X4))),
    inference(substitution,[status(thm)],[c37]) ).

cnf(c39,plain,
    multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(multiply(inverse(X4),inverse(X3)),X3))),inverse(X4))) = inverse(multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(X3,X2))),X3)))),
    inference(symmetry,[status(thm)],[c38]) ).

cnf(c40,plain,
    multiply(X6,multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(multiply(inverse(X4),inverse(X3)),X3))),inverse(X4)))) = multiply(X6,inverse(multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(X3,X2))),X3))))),
    inference(congruence,[status(thm)],[c39]) ).

cnf(c41,plain,
    inverse(multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(X3,X2))),X6)))) = multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(multiply(inverse(X4),inverse(X3)),X6))),inverse(X4))),
    inference(substitution,[status(thm)],[c37]) ).

cnf(c42,plain,
    multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(multiply(inverse(X4),inverse(X3)),X6))),inverse(X4))) = inverse(multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(X3,X2))),X6)))),
    inference(symmetry,[status(thm)],[c41]) ).

cnf(c43,plain,
    multiply(X6,multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(multiply(inverse(X4),inverse(X3)),X6))),inverse(X4)))) = multiply(X6,inverse(multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(X3,X2))),X6))))),
    inference(congruence,[status(thm)],[c42]) ).

cnf(c44,plain,
    multiply(X4,inverse(multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(X3,X2))),X4))))) = X3,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c45,plain,
    multiply(X4,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X4))),inverse(X2)))) = X,
    inference(transitivity,[status(thm)],[c43,c44]) ).

cnf(c46,plain,
    multiply(X5,multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(multiply(inverse(X6),inverse(multiply(multiply(inverse(X2),inverse(multiply(X,X3))),X))),X5))),inverse(X6)))) = multiply(multiply(inverse(X2),inverse(multiply(X,X3))),X),
    inference(substitution,[status(thm)],[c45]) ).

cnf(c47,plain,
    multiply(multiply(inverse(X5),inverse(multiply(X4,X6))),X4) = multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X5),inverse(multiply(X4,X6))),X4))),X2))),inverse(X3)))),
    inference(symmetry,[status(thm)],[c46]) ).

cnf(c48,plain,
    multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X4,X6))),X4)) = multiply(X5,multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X5),inverse(multiply(X4,X6))),X4))),X2))),inverse(X3))))),
    inference(congruence,[status(thm)],[c47]) ).

cnf(c49,plain,
    multiply(X,inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X4,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X5,X4))),inverse(X3)))))),inverse(X6))),multiply(X6,multiply(X4,X))))) = multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X5,X4))),inverse(X3))),
    inference(substitution,[status(thm)],[c11]) ).

cnf(c50,plain,
    multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X6,X5))),inverse(X4))) = multiply(X2,inverse(multiply(multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X5,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X6,X5))),inverse(X4)))))),inverse(X))),multiply(X,multiply(X5,X2))))),
    inference(symmetry,[status(thm)],[c49]) ).

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

cnf(c52,plain,
    multiply(multiply(inverse(X3),inverse(multiply(X4,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X5,X4))),inverse(X3)))))),inverse(X)) = multiply(X5,inverse(X)),
    inference(congruence,[status(thm)],[c51]) ).

cnf(c53,plain,
    multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X4,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X5,X4))),inverse(X3)))))),inverse(X))) = multiply(X3,multiply(X5,inverse(X))),
    inference(congruence,[status(thm)],[c52]) ).

cnf(c54,plain,
    multiply(multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X5,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X6,X5))),inverse(X4)))))),inverse(X))),multiply(X,multiply(X5,X2))) = multiply(multiply(X4,multiply(X6,inverse(X))),multiply(X,multiply(X5,X2))),
    inference(congruence,[status(thm)],[c53]) ).

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

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

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

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

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

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

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

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

cnf(c63,plain,
    multiply(X2,inverse(multiply(multiply(X3,multiply(X5,inverse(X))),multiply(X,multiply(X4,X2))))) = multiply(X2,inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X4,multiply(X6,multiply(multiply(inverse(X6),inverse(multiply(X5,X4))),inverse(X3)))))),inverse(X))),multiply(X,multiply(X4,X2))))),
    inference(congruence,[status(thm)],[c62]) ).

cnf(c64,plain,
    multiply(X2,inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X4,multiply(X6,multiply(multiply(inverse(X6),inverse(multiply(X5,X4))),inverse(X3)))))),inverse(X))),multiply(X,multiply(X4,X2))))) = multiply(X6,multiply(multiply(inverse(X6),inverse(multiply(X5,X4))),inverse(X3))),
    inference(substitution,[status(thm)],[c11]) ).

cnf(c65,plain,
    multiply(X2,inverse(multiply(multiply(X3,multiply(X5,inverse(X))),multiply(X,multiply(X4,X2))))) = multiply(X6,multiply(multiply(inverse(X6),inverse(multiply(X5,X4))),inverse(X3))),
    inference(transitivity,[status(thm)],[c63,c64]) ).

cnf(c66,plain,
    multiply(X2,inverse(multiply(multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X5,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X6,X5))),inverse(X4)))))),inverse(X))),multiply(X,multiply(X5,X2))))) = multiply(X7,multiply(multiply(inverse(X7),inverse(multiply(X6,X5))),inverse(X4))),
    inference(transitivity,[status(thm)],[c56,c65]) ).

cnf(c67,plain,
    multiply(X,multiply(multiply(inverse(X),inverse(multiply(X4,X3))),inverse(X2))) = multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X4,X3))),inverse(X2))),
    inference(transitivity,[status(thm)],[c50,c66]) ).

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

cnf(c69,plain,
    multiply(X2,inverse(multiply(multiply(X,multiply(multiply(inverse(X),inverse(multiply(X3,multiply(inverse(X6),inverse(multiply(X5,multiply(X4,multiply(X3,inverse(X6))))))))),inverse(X4))),multiply(X4,multiply(X3,X2))))) = multiply(inverse(X6),inverse(multiply(X5,multiply(X4,multiply(X3,inverse(X6)))))),
    inference(substitution,[status(thm)],[c11]) ).

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

cnf(c71,plain,
    multiply(X,inverse(multiply(multiply(X2,multiply(X5,inverse(X4))),multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X3,multiply(X2,multiply(X5,inverse(X4)))))),X))))) = multiply(X6,multiply(multiply(inverse(X6),inverse(multiply(X5,multiply(inverse(X4),inverse(multiply(X3,multiply(X2,multiply(X5,inverse(X4))))))))),inverse(X2))),
    inference(substitution,[status(thm)],[c22]) ).

cnf(c72,plain,
    multiply(X6,multiply(multiply(inverse(X6),inverse(multiply(X5,multiply(inverse(X4),inverse(multiply(X3,multiply(X2,multiply(X5,inverse(X4))))))))),inverse(X2))) = multiply(X,inverse(multiply(multiply(X2,multiply(X5,inverse(X4))),multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X3,multiply(X2,multiply(X5,inverse(X4)))))),X))))),
    inference(symmetry,[status(thm)],[c71]) ).

cnf(c73,plain,
    multiply(X,inverse(multiply(multiply(X2,multiply(X5,inverse(X4))),multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X3,multiply(X2,multiply(X5,inverse(X4)))))),X))))) = X3,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c74,plain,
    multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X4,multiply(inverse(X3),inverse(multiply(X2,multiply(X,multiply(X4,inverse(X3))))))))),inverse(X))) = X2,
    inference(transitivity,[status(thm)],[c72,c73]) ).

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

cnf(c76,plain,
    multiply(multiply(X,multiply(multiply(inverse(X),inverse(multiply(X3,multiply(inverse(X6),inverse(multiply(X5,multiply(X4,multiply(X3,inverse(X6))))))))),inverse(X4))),multiply(X4,multiply(X3,X2))) = multiply(X5,multiply(X4,multiply(X3,X2))),
    inference(congruence,[status(thm)],[c75]) ).

cnf(c77,plain,
    inverse(multiply(multiply(X,multiply(multiply(inverse(X),inverse(multiply(X3,multiply(inverse(X6),inverse(multiply(X5,multiply(X4,multiply(X3,inverse(X6))))))))),inverse(X4))),multiply(X4,multiply(X3,X2)))) = inverse(multiply(X5,multiply(X4,multiply(X3,X2)))),
    inference(congruence,[status(thm)],[c76]) ).

cnf(c78,plain,
    multiply(X2,inverse(multiply(multiply(X,multiply(multiply(inverse(X),inverse(multiply(X3,multiply(inverse(X6),inverse(multiply(X5,multiply(X4,multiply(X3,inverse(X6))))))))),inverse(X4))),multiply(X4,multiply(X3,X2))))) = multiply(X2,inverse(multiply(X5,multiply(X4,multiply(X3,X2))))),
    inference(congruence,[status(thm)],[c77]) ).

cnf(c79,plain,
    multiply(inverse(X5),inverse(multiply(X4,multiply(X3,multiply(X2,inverse(X5)))))) = multiply(X,inverse(multiply(X4,multiply(X3,multiply(X2,X))))),
    inference(transitivity,[status(thm)],[c70,c78]) ).

cnf(c80,plain,
    multiply(inverse(X2),inverse(multiply(X5,multiply(X4,multiply(X3,inverse(X2)))))) = multiply(X,inverse(multiply(X5,multiply(X4,multiply(X3,X))))),
    inference(substitution,[status(thm)],[c79]) ).

cnf(c81,plain,
    multiply(multiply(inverse(X3),inverse(multiply(X6,multiply(X5,multiply(X4,inverse(X3)))))),inverse(X2)) = multiply(multiply(X,inverse(multiply(X6,multiply(X5,multiply(X4,X))))),inverse(X2)),
    inference(congruence,[status(thm)],[c80]) ).

cnf(c82,plain,
    multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X6,multiply(X5,multiply(X4,inverse(X3)))))),inverse(X2))) = multiply(X3,multiply(multiply(X,inverse(multiply(X6,multiply(X5,multiply(X4,X))))),inverse(X2))),
    inference(congruence,[status(thm)],[c81]) ).

cnf(c83,plain,
    multiply(X7,multiply(multiply(inverse(X7),inverse(multiply(X6,multiply(X5,multiply(X4,inverse(X3)))))),inverse(X2))) = multiply(X3,multiply(multiply(X,inverse(multiply(X6,multiply(X5,multiply(X4,X))))),inverse(X2))),
    inference(transitivity,[status(thm)],[c68,c82]) ).

cnf(c84,plain,
    multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(inverse(X4),multiply(X3,multiply(X2,inverse(X)))))),inverse(X4))) = multiply(X,multiply(multiply(X6,inverse(multiply(inverse(X4),multiply(X3,multiply(X2,X6))))),inverse(X4))),
    inference(substitution,[status(thm)],[c83]) ).

cnf(c85,plain,
    multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(X4),inverse(multiply(multiply(X6,inverse(multiply(X5,multiply(X4,multiply(X3,X6))))),X5))),X2))),inverse(X4)))) = multiply(multiply(X6,inverse(multiply(X5,multiply(X4,multiply(X3,X6))))),X5),
    inference(substitution,[status(thm)],[c45]) ).

cnf(c86,plain,
    multiply(multiply(X6,inverse(multiply(X5,multiply(X4,multiply(X3,X6))))),X5) = multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(X4),inverse(multiply(multiply(X6,inverse(multiply(X5,multiply(X4,multiply(X3,X6))))),X5))),X2))),inverse(X4)))),
    inference(symmetry,[status(thm)],[c85]) ).

cnf(c87,plain,
    multiply(inverse(X),inverse(multiply(X3,multiply(X5,multiply(X2,inverse(X)))))) = multiply(X4,inverse(multiply(X3,multiply(X5,multiply(X2,X4))))),
    inference(substitution,[status(thm)],[c79]) ).

cnf(c88,plain,
    multiply(X4,inverse(multiply(X3,multiply(X5,multiply(X2,X4))))) = multiply(inverse(X),inverse(multiply(X3,multiply(X5,multiply(X2,inverse(X)))))),
    inference(symmetry,[status(thm)],[c87]) ).

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

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

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

cnf(c92,plain,
    multiply(X,multiply(multiply(inverse(X),inverse(multiply(X3,multiply(inverse(X2),inverse(multiply(X4,multiply(X5,multiply(X3,inverse(X2))))))))),inverse(X5))) = X4,
    inference(substitution,[status(thm)],[c74]) ).

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

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

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

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

cnf(c97,plain,
    multiply(inverse(X5),inverse(multiply(multiply(inverse(X2),inverse(multiply(X4,multiply(X5,multiply(X3,inverse(X2)))))),multiply(X,multiply(multiply(inverse(X),inverse(multiply(X3,multiply(inverse(X2),inverse(multiply(X4,multiply(X5,multiply(X3,inverse(X2))))))))),inverse(X5)))))) = X3,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c98,plain,
    multiply(inverse(X4),inverse(multiply(multiply(inverse(X),inverse(multiply(X3,multiply(X4,multiply(X2,inverse(X)))))),X3))) = X2,
    inference(transitivity,[status(thm)],[c96,c97]) ).

cnf(c99,plain,
    multiply(inverse(X4),inverse(multiply(multiply(X3,inverse(multiply(X2,multiply(X4,multiply(X,X3))))),X2))) = X,
    inference(transitivity,[status(thm)],[c91,c98]) ).

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

cnf(c101,plain,
    multiply(multiply(inverse(X3),inverse(multiply(multiply(X5,inverse(multiply(X4,multiply(X3,multiply(X2,X5))))),X4))),X) = multiply(X2,X),
    inference(congruence,[status(thm)],[c100]) ).

cnf(c102,plain,
    inverse(multiply(multiply(inverse(X3),inverse(multiply(multiply(X5,inverse(multiply(X4,multiply(X3,multiply(X2,X5))))),X4))),X)) = inverse(multiply(X2,X)),
    inference(congruence,[status(thm)],[c101]) ).

cnf(c103,plain,
    multiply(inverse(X),inverse(multiply(multiply(inverse(X4),inverse(multiply(multiply(X6,inverse(multiply(X5,multiply(X4,multiply(X3,X6))))),X5))),X2))) = multiply(inverse(X),inverse(multiply(X3,X2))),
    inference(congruence,[status(thm)],[c102]) ).

cnf(c104,plain,
    multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(X4),inverse(multiply(multiply(X6,inverse(multiply(X5,multiply(X4,multiply(X3,X6))))),X5))),X2))),inverse(X4)) = multiply(multiply(inverse(X),inverse(multiply(X3,X2))),inverse(X4)),
    inference(congruence,[status(thm)],[c103]) ).

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

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

cnf(c107,plain,
    multiply(multiply(X6,inverse(multiply(X5,multiply(X4,multiply(X3,X6))))),X5) = multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(X3,X2))),inverse(X4)))),
    inference(transitivity,[status(thm)],[c86,c106]) ).

cnf(c108,plain,
    multiply(multiply(X,inverse(multiply(inverse(X6),multiply(X5,multiply(X4,X))))),inverse(X6)) = multiply(X3,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X4,X3))),inverse(X5)))),
    inference(substitution,[status(thm)],[c107]) ).

cnf(c109,plain,
    multiply(X4,multiply(multiply(X,inverse(multiply(inverse(X7),multiply(X6,multiply(X5,X))))),inverse(X7))) = multiply(X4,multiply(X3,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X5,X3))),inverse(X6))))),
    inference(congruence,[status(thm)],[c108]) ).

cnf(c110,plain,
    multiply(X7,multiply(multiply(inverse(X7),inverse(multiply(inverse(X6),multiply(X5,multiply(X4,inverse(X3)))))),inverse(X6))) = multiply(X3,multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(X4,X2))),inverse(X5))))),
    inference(transitivity,[status(thm)],[c84,c109]) ).

cnf(c111,plain,
    multiply(X8,multiply(multiply(inverse(X8),inverse(multiply(inverse(X7),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X5),inverse(multiply(X4,X6))),X4))),inverse(X5)))))),inverse(X7))) = multiply(X5,multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X5),inverse(multiply(X4,X6))),X4))),X2))),inverse(X3))))),
    inference(substitution,[status(thm)],[c110]) ).

cnf(c112,plain,
    multiply(X7,multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X7),inverse(multiply(X6,X8))),X6))),X2))),inverse(X3))))) = multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(inverse(X4),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X7),inverse(multiply(X6,X8))),X6))),inverse(X7)))))),inverse(X4))),
    inference(symmetry,[status(thm)],[c111]) ).

cnf(c113,plain,
    multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(X3),inverse(multiply(X2,X4))),X2))),inverse(X3))) = X4,
    inference(substitution,[status(thm)],[c26]) ).

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

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

cnf(c116,plain,
    multiply(inverse(X3),inverse(multiply(inverse(X2),multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(X5),inverse(multiply(X4,X6))),X4))),inverse(X5)))))) = multiply(inverse(X3),inverse(multiply(inverse(X2),X6))),
    inference(congruence,[status(thm)],[c115]) ).

cnf(c117,plain,
    multiply(multiply(inverse(X3),inverse(multiply(inverse(X2),multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(X5),inverse(multiply(X4,X6))),X4))),inverse(X5)))))),inverse(X2)) = multiply(multiply(inverse(X3),inverse(multiply(inverse(X2),X6))),inverse(X2)),
    inference(congruence,[status(thm)],[c116]) ).

cnf(c118,plain,
    multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(inverse(X2),multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(X5),inverse(multiply(X4,X6))),X4))),inverse(X5)))))),inverse(X2))) = multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(inverse(X2),X6))),inverse(X2))),
    inference(congruence,[status(thm)],[c117]) ).

cnf(c119,plain,
    multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(X4),inverse(multiply(X3,X2))),X3))),inverse(X4))) = X2,
    inference(substitution,[status(thm)],[c26]) ).

cnf(c120,plain,
    X2 = multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(X4),inverse(multiply(X3,X2))),X3))),inverse(X4))),
    inference(symmetry,[status(thm)],[c119]) ).

cnf(c121,plain,
    multiply(inverse(X),X3) = multiply(inverse(X),multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(inverse(X5),inverse(multiply(X4,X3))),X4))),inverse(X5)))),
    inference(congruence,[status(thm)],[c120]) ).

cnf(c122,plain,
    inverse(multiply(inverse(X),X3)) = inverse(multiply(inverse(X),multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(inverse(X5),inverse(multiply(X4,X3))),X4))),inverse(X5))))),
    inference(congruence,[status(thm)],[c121]) ).

cnf(c123,plain,
    multiply(inverse(X2),inverse(multiply(inverse(X),X4))) = multiply(inverse(X2),inverse(multiply(inverse(X),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X6),inverse(multiply(X5,X4))),X5))),inverse(X6)))))),
    inference(congruence,[status(thm)],[c122]) ).

cnf(c124,plain,
    multiply(multiply(inverse(X2),inverse(multiply(inverse(X),X4))),inverse(X)) = multiply(multiply(inverse(X2),inverse(multiply(inverse(X),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X6),inverse(multiply(X5,X4))),X5))),inverse(X6)))))),inverse(X)),
    inference(congruence,[status(thm)],[c123]) ).

cnf(c125,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(X),X4))),inverse(X))) = multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(X),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X6),inverse(multiply(X5,X4))),X5))),inverse(X6)))))),inverse(X))),
    inference(congruence,[status(thm)],[c124]) ).

cnf(c126,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(X),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X8),inverse(multiply(X7,X6))),X7))),inverse(X8)))))),inverse(X))) = multiply(X8,multiply(X5,multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X8),inverse(multiply(X7,X6))),X7))),X5))),inverse(X3))))),
    inference(substitution,[status(thm)],[c110]) ).

cnf(c127,plain,
    multiply(X3,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(X6),inverse(multiply(X5,X4))),X5))),X3))),inverse(X)))) = multiply(multiply(inverse(X6),inverse(multiply(X5,X4))),X5),
    inference(substitution,[status(thm)],[c45]) ).

cnf(c128,plain,
    multiply(X6,multiply(X3,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(X6),inverse(multiply(X5,X4))),X5))),X3))),inverse(X))))) = multiply(X6,multiply(multiply(inverse(X6),inverse(multiply(X5,X4))),X5)),
    inference(congruence,[status(thm)],[c127]) ).

cnf(c129,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(X),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X6),inverse(multiply(X5,X4))),X5))),inverse(X6)))))),inverse(X))) = multiply(X6,multiply(multiply(inverse(X6),inverse(multiply(X5,X4))),X5)),
    inference(transitivity,[status(thm)],[c126,c128]) ).

cnf(c130,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(X),X3))),inverse(X))) = multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X4,X3))),X4)),
    inference(transitivity,[status(thm)],[c125,c129]) ).

cnf(c131,plain,
    multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(inverse(X2),multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(X5),inverse(multiply(X4,X6))),X4))),inverse(X5)))))),inverse(X2))) = multiply(X8,multiply(multiply(inverse(X8),inverse(multiply(X7,X6))),X7)),
    inference(transitivity,[status(thm)],[c118,c130]) ).

cnf(c132,plain,
    multiply(X5,multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X5),inverse(multiply(X4,X6))),X4))),X2))),inverse(X3))))) = multiply(X8,multiply(multiply(inverse(X8),inverse(multiply(X7,X6))),X7)),
    inference(transitivity,[status(thm)],[c112,c131]) ).

cnf(c133,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X,X3))),X)) = multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X4,X3))),X4)),
    inference(transitivity,[status(thm)],[c48,c132]) ).

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

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

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

cnf(c137,plain,
    multiply(X5,inverse(multiply(X3,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X4,X3))),X4))))) = multiply(X5,inverse(multiply(X3,multiply(X,multiply(multiply(inverse(X),inverse(multiply(X5,X3))),X5))))),
    inference(congruence,[status(thm)],[c136]) ).

cnf(c138,plain,
    multiply(X3,inverse(multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(X3,X2))),X3))))) = X3,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c139,plain,
    multiply(X4,inverse(multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(X3,X2))),X3))))) = X4,
    inference(transitivity,[status(thm)],[c137,c138]) ).

cnf(c140,plain,
    multiply(X4,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2)))) = X4,
    inference(transitivity,[status(thm)],[c40,c139]) ).

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

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

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

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

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

cnf(c146,plain,
    multiply(multiply(inverse(X6),inverse(multiply(X4,inverse(X4)))),X5) = multiply(multiply(inverse(X6),inverse(multiply(X4,multiply(inverse(X4),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2))))))),X5),
    inference(congruence,[status(thm)],[c145]) ).

cnf(c147,plain,
    multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(X3),inverse(multiply(inverse(X4),X5))),X2))),inverse(X3)))) = multiply(inverse(X4),X5),
    inference(substitution,[status(thm)],[c45]) ).

cnf(c148,plain,
    multiply(inverse(X4),X5) = multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(X3),inverse(multiply(inverse(X4),X5))),X2))),inverse(X3)))),
    inference(symmetry,[status(thm)],[c147]) ).

cnf(c149,plain,
    multiply(X4,multiply(inverse(X4),X5)) = multiply(X4,multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(X3),inverse(multiply(inverse(X4),X5))),X2))),inverse(X3))))),
    inference(congruence,[status(thm)],[c148]) ).

cnf(c150,plain,
    multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(inverse(X4),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(inverse(X6),X7))),inverse(X6)))))),inverse(X4))) = multiply(X6,multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(X3),inverse(multiply(inverse(X6),X7))),X2))),inverse(X3))))),
    inference(substitution,[status(thm)],[c110]) ).

cnf(c151,plain,
    multiply(X6,multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(X3),inverse(multiply(inverse(X6),X7))),X2))),inverse(X3))))) = multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(inverse(X4),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(inverse(X6),X7))),inverse(X6)))))),inverse(X4))),
    inference(symmetry,[status(thm)],[c150]) ).

cnf(c152,plain,
    multiply(X,multiply(multiply(inverse(X),inverse(multiply(inverse(X3),X4))),inverse(X3))) = multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(X5),X4))),inverse(X5))),
    inference(substitution,[status(thm)],[c133]) ).

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

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

cnf(c155,plain,
    multiply(inverse(X3),inverse(multiply(inverse(X2),multiply(X,multiply(multiply(inverse(X),inverse(multiply(inverse(X5),X6))),inverse(X5)))))) = multiply(inverse(X3),inverse(multiply(inverse(X2),multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(inverse(X7),X6))),inverse(X7)))))),
    inference(congruence,[status(thm)],[c154]) ).

cnf(c156,plain,
    multiply(multiply(inverse(X3),inverse(multiply(inverse(X2),multiply(X,multiply(multiply(inverse(X),inverse(multiply(inverse(X5),X6))),inverse(X5)))))),inverse(X2)) = multiply(multiply(inverse(X3),inverse(multiply(inverse(X2),multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(inverse(X7),X6))),inverse(X7)))))),inverse(X2)),
    inference(congruence,[status(thm)],[c155]) ).

cnf(c157,plain,
    multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(inverse(X2),multiply(X,multiply(multiply(inverse(X),inverse(multiply(inverse(X5),X6))),inverse(X5)))))),inverse(X2))) = multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(inverse(X2),multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(inverse(X7),X6))),inverse(X7)))))),inverse(X2))),
    inference(congruence,[status(thm)],[c156]) ).

cnf(c158,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(X),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(inverse(X7),X6))),inverse(X7)))))),inverse(X))) = multiply(X7,multiply(X5,multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(multiply(inverse(X3),inverse(multiply(inverse(X7),X6))),X5))),inverse(X3))))),
    inference(substitution,[status(thm)],[c110]) ).

cnf(c159,plain,
    multiply(X3,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(inverse(X),inverse(multiply(inverse(X5),X4))),X3))),inverse(X)))) = multiply(inverse(X5),X4),
    inference(substitution,[status(thm)],[c45]) ).

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

cnf(c161,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(X),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(inverse(X5),X4))),inverse(X5)))))),inverse(X))) = multiply(X5,multiply(inverse(X5),X4)),
    inference(transitivity,[status(thm)],[c158,c160]) ).

cnf(c162,plain,
    multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(inverse(X2),multiply(X,multiply(multiply(inverse(X),inverse(multiply(inverse(X4),X5))),inverse(X4)))))),inverse(X2))) = multiply(X6,multiply(inverse(X6),X5)),
    inference(transitivity,[status(thm)],[c157,c161]) ).

cnf(c163,plain,
    multiply(X4,multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(X3),inverse(multiply(inverse(X4),X5))),X2))),inverse(X3))))) = multiply(X6,multiply(inverse(X6),X5)),
    inference(transitivity,[status(thm)],[c151,c162]) ).

cnf(c164,plain,
    multiply(X,multiply(inverse(X),X2)) = multiply(X3,multiply(inverse(X3),X2)),
    inference(transitivity,[status(thm)],[c149,c163]) ).

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

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

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

cnf(c168,plain,
    multiply(X3,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X6,multiply(multiply(inverse(X6),inverse(multiply(X4,X5))),X4)))),inverse(X))),multiply(X,multiply(X6,X3))))) = multiply(multiply(inverse(X6),inverse(multiply(X4,X5))),X4),
    inference(substitution,[status(thm)],[c11]) ).

cnf(c169,plain,
    multiply(multiply(inverse(X6),inverse(multiply(X4,X5))),X4) = multiply(X3,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X6,multiply(multiply(inverse(X6),inverse(multiply(X4,X5))),X4)))),inverse(X))),multiply(X,multiply(X6,X3))))),
    inference(symmetry,[status(thm)],[c168]) ).

cnf(c170,plain,
    multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X,X2))),X)) = multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X3,X2))),X3)),
    inference(substitution,[status(thm)],[c133]) ).

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

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

cnf(c173,plain,
    multiply(multiply(inverse(X2),inverse(multiply(X6,multiply(multiply(inverse(X6),inverse(multiply(X3,X4))),X3)))),inverse(X)) = multiply(multiply(inverse(X2),inverse(multiply(X6,multiply(multiply(inverse(X6),inverse(multiply(X5,X4))),X5)))),inverse(X)),
    inference(congruence,[status(thm)],[c172]) ).

cnf(c174,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X6,multiply(multiply(inverse(X6),inverse(multiply(X3,X4))),X3)))),inverse(X))) = multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X6,multiply(multiply(inverse(X6),inverse(multiply(X5,X4))),X5)))),inverse(X))),
    inference(congruence,[status(thm)],[c173]) ).

cnf(c175,plain,
    multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X7,multiply(multiply(inverse(X7),inverse(multiply(X4,X5))),X4)))),inverse(X))),multiply(X,multiply(X7,X3))) = multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X7,multiply(multiply(inverse(X7),inverse(multiply(X6,X5))),X6)))),inverse(X))),multiply(X,multiply(X7,X3))),
    inference(congruence,[status(thm)],[c174]) ).

cnf(c176,plain,
    inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X7,multiply(multiply(inverse(X7),inverse(multiply(X4,X5))),X4)))),inverse(X))),multiply(X,multiply(X7,X3)))) = inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X7,multiply(multiply(inverse(X7),inverse(multiply(X6,X5))),X6)))),inverse(X))),multiply(X,multiply(X7,X3)))),
    inference(congruence,[status(thm)],[c175]) ).

cnf(c177,plain,
    multiply(X3,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X7,multiply(multiply(inverse(X7),inverse(multiply(X4,X5))),X4)))),inverse(X))),multiply(X,multiply(X7,X3))))) = multiply(X3,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X7,multiply(multiply(inverse(X7),inverse(multiply(X6,X5))),X6)))),inverse(X))),multiply(X,multiply(X7,X3))))),
    inference(congruence,[status(thm)],[c176]) ).

cnf(c178,plain,
    multiply(X3,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X6,multiply(multiply(inverse(X6),inverse(multiply(X5,X4))),X5)))),inverse(X))),multiply(X,multiply(X6,X3))))) = multiply(multiply(inverse(X6),inverse(multiply(X5,X4))),X5),
    inference(substitution,[status(thm)],[c11]) ).

cnf(c179,plain,
    multiply(X3,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X7,multiply(multiply(inverse(X7),inverse(multiply(X4,X5))),X4)))),inverse(X))),multiply(X,multiply(X7,X3))))) = multiply(multiply(inverse(X7),inverse(multiply(X6,X5))),X6),
    inference(transitivity,[status(thm)],[c177,c178]) ).

cnf(c180,plain,
    multiply(multiply(inverse(X4),inverse(multiply(X,X2))),X) = multiply(multiply(inverse(X4),inverse(multiply(X3,X2))),X3),
    inference(transitivity,[status(thm)],[c169,c179]) ).

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

cnf(c182,plain,
    multiply(multiply(inverse(X4),inverse(multiply(X2,multiply(inverse(X2),X)))),X2) = multiply(multiply(inverse(X4),inverse(multiply(X3,multiply(inverse(X2),X)))),X3),
    inference(symmetry,[status(thm)],[c181]) ).

cnf(c183,plain,
    multiply(multiply(inverse(X5),inverse(multiply(X,multiply(inverse(X),X2)))),X3) = multiply(multiply(inverse(X5),inverse(multiply(X4,multiply(inverse(X3),X2)))),X4),
    inference(transitivity,[status(thm)],[c167,c182]) ).

cnf(c184,plain,
    multiply(multiply(inverse(X7),inverse(multiply(X4,multiply(inverse(X4),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2))))))),X5) = multiply(multiply(inverse(X7),inverse(multiply(X6,multiply(inverse(X5),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2))))))),X6),
    inference(substitution,[status(thm)],[c183]) ).

cnf(c185,plain,
    multiply(inverse(X4),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2)))) = inverse(X4),
    inference(substitution,[status(thm)],[c140]) ).

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

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

cnf(c188,plain,
    multiply(inverse(X6),inverse(multiply(X5,multiply(inverse(X4),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2))))))) = multiply(inverse(X6),inverse(multiply(X5,inverse(X4)))),
    inference(congruence,[status(thm)],[c187]) ).

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

cnf(c190,plain,
    multiply(multiply(inverse(X7),inverse(multiply(X4,multiply(inverse(X4),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2))))))),X5) = multiply(multiply(inverse(X7),inverse(multiply(X6,inverse(X5)))),X6),
    inference(transitivity,[status(thm)],[c184,c189]) ).

cnf(c191,plain,
    multiply(multiply(inverse(X4),inverse(multiply(X,inverse(X)))),X2) = multiply(multiply(inverse(X4),inverse(multiply(X3,inverse(X2)))),X3),
    inference(transitivity,[status(thm)],[c146,c190]) ).

cnf(c192,plain,
    multiply(multiply(inverse(X4),inverse(multiply(X3,inverse(X3)))),inverse(multiply(X2,inverse(X2)))) = multiply(multiply(inverse(X4),inverse(multiply(X,inverse(inverse(multiply(X2,inverse(X2))))))),X),
    inference(substitution,[status(thm)],[c191]) ).

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

cnf(c194,plain,
    multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X3,inverse(inverse(multiply(X4,inverse(X4))))))),X3)) = multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(X),inverse(inverse(multiply(X4,inverse(X4))))))),inverse(X))),
    inference(substitution,[status(thm)],[c133]) ).

cnf(c195,plain,
    multiply(X3,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X4,multiply(multiply(X5,inverse(X5)),inverse(X4))))),inverse(X))),multiply(X,multiply(X4,X3))))) = multiply(multiply(X5,inverse(X5)),inverse(X4)),
    inference(substitution,[status(thm)],[c11]) ).

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

cnf(c197,plain,
    multiply(inverse(X4),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2)))) = inverse(X4),
    inference(substitution,[status(thm)],[c140]) ).

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

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

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

cnf(c201,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)],[c164]) ).

cnf(c202,plain,
    multiply(X,multiply(inverse(X),X2)) = multiply(inverse(X3),multiply(inverse(inverse(X3)),X2)),
    inference(substitution,[status(thm)],[c164]) ).

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

cnf(c204,plain,
    multiply(X3,multiply(inverse(X3),multiply(inverse(inverse(X3)),X2))) = multiply(X3,multiply(X,multiply(inverse(X),X2))),
    inference(congruence,[status(thm)],[c203]) ).

cnf(c205,plain,
    multiply(X4,multiply(inverse(X4),multiply(inverse(inverse(X3)),X2))) = multiply(X3,multiply(X,multiply(inverse(X),X2))),
    inference(transitivity,[status(thm)],[c201,c204]) ).

cnf(c206,plain,
    multiply(X6,multiply(inverse(X6),multiply(inverse(inverse(X5)),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2)))))) = multiply(X5,multiply(X4,multiply(inverse(X4),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2)))))),
    inference(substitution,[status(thm)],[c205]) ).

cnf(c207,plain,
    multiply(X5,multiply(X4,multiply(inverse(X4),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2)))))) = multiply(X6,multiply(inverse(X6),multiply(inverse(inverse(X5)),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2)))))),
    inference(symmetry,[status(thm)],[c206]) ).

cnf(c208,plain,
    multiply(inverse(inverse(X4)),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2)))) = inverse(inverse(X4)),
    inference(substitution,[status(thm)],[c140]) ).

cnf(c209,plain,
    multiply(inverse(X5),multiply(inverse(inverse(X4)),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2))))) = multiply(inverse(X5),inverse(inverse(X4))),
    inference(congruence,[status(thm)],[c208]) ).

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

cnf(c211,plain,
    multiply(X5,multiply(X4,multiply(inverse(X4),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2)))))) = multiply(X6,multiply(inverse(X6),inverse(inverse(X5)))),
    inference(transitivity,[status(thm)],[c207,c210]) ).

cnf(c212,plain,
    multiply(X2,multiply(X,inverse(X))) = multiply(X3,multiply(inverse(X3),inverse(inverse(X2)))),
    inference(transitivity,[status(thm)],[c200,c211]) ).

cnf(c213,plain,
    multiply(multiply(X,inverse(X)),multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X))))) = multiply(X2,multiply(inverse(X2),inverse(inverse(multiply(X,inverse(X)))))),
    inference(substitution,[status(thm)],[c212]) ).

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

cnf(c215,plain,
    X4 = multiply(X4,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2)))),
    inference(symmetry,[status(thm)],[c140]) ).

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

cnf(c217,plain,
    multiply(inverse(X5),inverse(X4)) = multiply(inverse(X5),inverse(multiply(X4,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2)))))),
    inference(congruence,[status(thm)],[c216]) ).

cnf(c218,plain,
    multiply(multiply(inverse(X5),inverse(X4)),X4) = multiply(multiply(inverse(X5),inverse(multiply(X4,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2)))))),X4),
    inference(congruence,[status(thm)],[c217]) ).

cnf(c219,plain,
    multiply(multiply(inverse(X6),inverse(multiply(X4,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2)))))),X4) = multiply(multiply(inverse(X6),inverse(multiply(X5,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2)))))),X5),
    inference(substitution,[status(thm)],[c180]) ).

cnf(c220,plain,
    inverse(multiply(X4,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2))))) = inverse(X4),
    inference(congruence,[status(thm)],[c140]) ).

cnf(c221,plain,
    multiply(inverse(X5),inverse(multiply(X4,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2)))))) = multiply(inverse(X5),inverse(X4)),
    inference(congruence,[status(thm)],[c220]) ).

cnf(c222,plain,
    multiply(multiply(inverse(X5),inverse(multiply(X4,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2)))))),X4) = multiply(multiply(inverse(X5),inverse(X4)),X4),
    inference(congruence,[status(thm)],[c221]) ).

cnf(c223,plain,
    multiply(multiply(inverse(X6),inverse(multiply(X4,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2)))))),X4) = multiply(multiply(inverse(X6),inverse(X5)),X5),
    inference(transitivity,[status(thm)],[c219,c222]) ).

cnf(c224,plain,
    multiply(multiply(inverse(X3),inverse(X)),X) = multiply(multiply(inverse(X3),inverse(X2)),X2),
    inference(transitivity,[status(thm)],[c218,c223]) ).

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

cnf(c226,plain,
    multiply(inverse(X4),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2)))) = inverse(X4),
    inference(substitution,[status(thm)],[c140]) ).

cnf(c227,plain,
    inverse(X4) = multiply(inverse(X4),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2)))),
    inference(symmetry,[status(thm)],[c226]) ).

cnf(c228,plain,
    multiply(X4,inverse(X4)) = multiply(X4,multiply(inverse(X4),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2))))),
    inference(congruence,[status(thm)],[c227]) ).

cnf(c229,plain,
    multiply(X4,multiply(inverse(X4),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2))))) = multiply(X5,multiply(inverse(X5),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2))))),
    inference(substitution,[status(thm)],[c164]) ).

cnf(c230,plain,
    multiply(inverse(X4),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2)))) = inverse(X4),
    inference(substitution,[status(thm)],[c140]) ).

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

cnf(c232,plain,
    multiply(X4,multiply(inverse(X4),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2))))) = multiply(X5,inverse(X5)),
    inference(transitivity,[status(thm)],[c229,c231]) ).

cnf(c233,plain,
    multiply(X,inverse(X)) = multiply(X2,inverse(X2)),
    inference(transitivity,[status(thm)],[c228,c232]) ).

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

cnf(c235,plain,
    multiply(inverse(X2),inverse(inverse(X2))) = multiply(X,inverse(X)),
    inference(symmetry,[status(thm)],[c234]) ).

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

cnf(c237,plain,
    multiply(multiply(inverse(X3),inverse(X2)),X2) = multiply(multiply(X,inverse(X)),inverse(X3)),
    inference(transitivity,[status(thm)],[c225,c236]) ).

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

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

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

cnf(c241,plain,
    multiply(X4,inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X2,multiply(X5,multiply(multiply(inverse(X5),inverse(X7)),X6))))),inverse(X))),multiply(X,multiply(X2,X4))))) = multiply(X5,multiply(multiply(inverse(X5),inverse(X7)),X6)),
    inference(substitution,[status(thm)],[c11]) ).

cnf(c242,plain,
    multiply(X5,multiply(multiply(inverse(X5),inverse(X7)),X6)) = multiply(X4,inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X2,multiply(X5,multiply(multiply(inverse(X5),inverse(X7)),X6))))),inverse(X))),multiply(X,multiply(X2,X4))))),
    inference(symmetry,[status(thm)],[c241]) ).

cnf(c243,plain,
    multiply(X3,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X5,inverse(multiply(X7,multiply(X4,multiply(multiply(inverse(X4),inverse(X6)),X5))))))),inverse(X))),multiply(X,multiply(X5,X3))))) = inverse(multiply(X7,multiply(X4,multiply(multiply(inverse(X4),inverse(X6)),X5)))),
    inference(substitution,[status(thm)],[c11]) ).

cnf(c244,plain,
    inverse(multiply(X7,multiply(X4,multiply(multiply(inverse(X4),inverse(X6)),X5)))) = multiply(X3,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X5,inverse(multiply(X7,multiply(X4,multiply(multiply(inverse(X4),inverse(X6)),X5))))))),inverse(X))),multiply(X,multiply(X5,X3))))),
    inference(symmetry,[status(thm)],[c243]) ).

cnf(c245,plain,
    multiply(inverse(X),inverse(multiply(X5,multiply(X2,multiply(multiply(inverse(X2),inverse(X4)),inverse(X)))))) = multiply(X3,inverse(multiply(X5,multiply(X2,multiply(multiply(inverse(X2),inverse(X4)),X3))))),
    inference(substitution,[status(thm)],[c79]) ).

cnf(c246,plain,
    multiply(X3,inverse(multiply(X5,multiply(X2,multiply(multiply(inverse(X2),inverse(X4)),X3))))) = multiply(inverse(X),inverse(multiply(X5,multiply(X2,multiply(multiply(inverse(X2),inverse(X4)),inverse(X)))))),
    inference(symmetry,[status(thm)],[c245]) ).

cnf(c247,plain,
    multiply(X3,inverse(multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(X4,X2))),X3))))) = X4,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c248,plain,
    X4 = multiply(X3,inverse(multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(X4,X2))),X3))))),
    inference(symmetry,[status(thm)],[c247]) ).

cnf(c249,plain,
    inverse(X4) = inverse(multiply(X3,inverse(multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(X4,X2))),X3)))))),
    inference(congruence,[status(thm)],[c248]) ).

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

cnf(c251,plain,
    multiply(multiply(inverse(X4),inverse(X6)),inverse(X5)) = multiply(multiply(inverse(X4),inverse(multiply(X3,inverse(multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(X6,X2))),X3))))))),inverse(X5)),
    inference(congruence,[status(thm)],[c250]) ).

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

cnf(c253,plain,
    multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X3,inverse(multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(X6,X2))),X3))))))),inverse(X5))) = multiply(X7,multiply(multiply(inverse(X7),inverse(multiply(X3,inverse(multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(X6,X2))),X3))))))),inverse(X5))),
    inference(substitution,[status(thm)],[c67]) ).

cnf(c254,plain,
    multiply(X3,inverse(multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(X4,X2))),X3))))) = X4,
    inference(substitution,[status(thm)],[c2]) ).

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

cnf(c256,plain,
    multiply(inverse(X5),inverse(multiply(X3,inverse(multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(X4,X2))),X3))))))) = multiply(inverse(X5),inverse(X4)),
    inference(congruence,[status(thm)],[c255]) ).

cnf(c257,plain,
    multiply(multiply(inverse(X6),inverse(multiply(X3,inverse(multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(X5,X2))),X3))))))),inverse(X4)) = multiply(multiply(inverse(X6),inverse(X5)),inverse(X4)),
    inference(congruence,[status(thm)],[c256]) ).

cnf(c258,plain,
    multiply(X6,multiply(multiply(inverse(X6),inverse(multiply(X3,inverse(multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(X5,X2))),X3))))))),inverse(X4))) = multiply(X6,multiply(multiply(inverse(X6),inverse(X5)),inverse(X4))),
    inference(congruence,[status(thm)],[c257]) ).

cnf(c259,plain,
    multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X3,inverse(multiply(X2,multiply(X,multiply(multiply(inverse(X),inverse(multiply(X6,X2))),X3))))))),inverse(X5))) = multiply(X7,multiply(multiply(inverse(X7),inverse(X6)),inverse(X5))),
    inference(transitivity,[status(thm)],[c253,c258]) ).

cnf(c260,plain,
    multiply(X,multiply(multiply(inverse(X),inverse(X3)),inverse(X2))) = multiply(X4,multiply(multiply(inverse(X4),inverse(X3)),inverse(X2))),
    inference(transitivity,[status(thm)],[c252,c259]) ).

cnf(c261,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),inverse(X))) = multiply(X4,multiply(multiply(inverse(X4),inverse(X3)),inverse(X))),
    inference(substitution,[status(thm)],[c260]) ).

cnf(c262,plain,
    multiply(X5,multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),inverse(X)))) = multiply(X5,multiply(X4,multiply(multiply(inverse(X4),inverse(X3)),inverse(X)))),
    inference(congruence,[status(thm)],[c261]) ).

cnf(c263,plain,
    inverse(multiply(X5,multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),inverse(X))))) = inverse(multiply(X5,multiply(X4,multiply(multiply(inverse(X4),inverse(X3)),inverse(X))))),
    inference(congruence,[status(thm)],[c262]) ).

cnf(c264,plain,
    multiply(inverse(X),inverse(multiply(X5,multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),inverse(X)))))) = multiply(inverse(X),inverse(multiply(X5,multiply(X4,multiply(multiply(inverse(X4),inverse(X3)),inverse(X)))))),
    inference(congruence,[status(thm)],[c263]) ).

cnf(c265,plain,
    multiply(inverse(X),inverse(multiply(X4,multiply(X3,multiply(multiply(inverse(X3),inverse(X2)),inverse(X)))))) = multiply(X5,inverse(multiply(X4,multiply(X3,multiply(multiply(inverse(X3),inverse(X2)),X5))))),
    inference(substitution,[status(thm)],[c79]) ).

cnf(c266,plain,
    multiply(inverse(X),inverse(multiply(X5,multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),inverse(X)))))) = multiply(X6,inverse(multiply(X5,multiply(X4,multiply(multiply(inverse(X4),inverse(X3)),X6))))),
    inference(transitivity,[status(thm)],[c264,c265]) ).

cnf(c267,plain,
    multiply(X2,inverse(multiply(X5,multiply(X,multiply(multiply(inverse(X),inverse(X3)),X2))))) = multiply(X6,inverse(multiply(X5,multiply(X4,multiply(multiply(inverse(X4),inverse(X3)),X6))))),
    inference(transitivity,[status(thm)],[c246,c266]) ).

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

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

cnf(c270,plain,
    multiply(inverse(X),inverse(multiply(X3,inverse(multiply(X6,multiply(X2,multiply(multiply(inverse(X2),inverse(X4)),X3))))))) = multiply(inverse(X),inverse(multiply(X3,inverse(multiply(X6,multiply(X5,multiply(multiply(inverse(X5),inverse(X4)),X3))))))),
    inference(congruence,[status(thm)],[c269]) ).

cnf(c271,plain,
    multiply(multiply(inverse(X2),inverse(multiply(X4,inverse(multiply(X7,multiply(X3,multiply(multiply(inverse(X3),inverse(X5)),X4))))))),inverse(X)) = multiply(multiply(inverse(X2),inverse(multiply(X4,inverse(multiply(X7,multiply(X6,multiply(multiply(inverse(X6),inverse(X5)),X4))))))),inverse(X)),
    inference(congruence,[status(thm)],[c270]) ).

cnf(c272,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X4,inverse(multiply(X7,multiply(X3,multiply(multiply(inverse(X3),inverse(X5)),X4))))))),inverse(X))) = multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X4,inverse(multiply(X7,multiply(X6,multiply(multiply(inverse(X6),inverse(X5)),X4))))))),inverse(X))),
    inference(congruence,[status(thm)],[c271]) ).

cnf(c273,plain,
    multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X5,inverse(multiply(X8,multiply(X4,multiply(multiply(inverse(X4),inverse(X6)),X5))))))),inverse(X))),multiply(X,multiply(X5,X3))) = multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X5,inverse(multiply(X8,multiply(X7,multiply(multiply(inverse(X7),inverse(X6)),X5))))))),inverse(X))),multiply(X,multiply(X5,X3))),
    inference(congruence,[status(thm)],[c272]) ).

cnf(c274,plain,
    inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X5,inverse(multiply(X8,multiply(X4,multiply(multiply(inverse(X4),inverse(X6)),X5))))))),inverse(X))),multiply(X,multiply(X5,X3)))) = inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X5,inverse(multiply(X8,multiply(X7,multiply(multiply(inverse(X7),inverse(X6)),X5))))))),inverse(X))),multiply(X,multiply(X5,X3)))),
    inference(congruence,[status(thm)],[c273]) ).

cnf(c275,plain,
    multiply(X3,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X5,inverse(multiply(X8,multiply(X4,multiply(multiply(inverse(X4),inverse(X6)),X5))))))),inverse(X))),multiply(X,multiply(X5,X3))))) = multiply(X3,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X5,inverse(multiply(X8,multiply(X7,multiply(multiply(inverse(X7),inverse(X6)),X5))))))),inverse(X))),multiply(X,multiply(X5,X3))))),
    inference(congruence,[status(thm)],[c274]) ).

cnf(c276,plain,
    multiply(X3,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X4,inverse(multiply(X7,multiply(X6,multiply(multiply(inverse(X6),inverse(X5)),X4))))))),inverse(X))),multiply(X,multiply(X4,X3))))) = inverse(multiply(X7,multiply(X6,multiply(multiply(inverse(X6),inverse(X5)),X4)))),
    inference(substitution,[status(thm)],[c11]) ).

cnf(c277,plain,
    multiply(X3,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X5,inverse(multiply(X8,multiply(X4,multiply(multiply(inverse(X4),inverse(X6)),X5))))))),inverse(X))),multiply(X,multiply(X5,X3))))) = inverse(multiply(X8,multiply(X7,multiply(multiply(inverse(X7),inverse(X6)),X5)))),
    inference(transitivity,[status(thm)],[c275,c276]) ).

cnf(c278,plain,
    inverse(multiply(X5,multiply(X,multiply(multiply(inverse(X),inverse(X3)),X2)))) = inverse(multiply(X5,multiply(X4,multiply(multiply(inverse(X4),inverse(X3)),X2)))),
    inference(transitivity,[status(thm)],[c244,c277]) ).

cnf(c279,plain,
    inverse(multiply(X,multiply(X2,multiply(multiply(inverse(X2),inverse(X4)),X3)))) = inverse(multiply(X,multiply(X5,multiply(multiply(inverse(X5),inverse(X4)),X3)))),
    inference(substitution,[status(thm)],[c278]) ).

cnf(c280,plain,
    multiply(inverse(X2),inverse(multiply(X,multiply(X3,multiply(multiply(inverse(X3),inverse(X5)),X4))))) = multiply(inverse(X2),inverse(multiply(X,multiply(X6,multiply(multiply(inverse(X6),inverse(X5)),X4))))),
    inference(congruence,[status(thm)],[c279]) ).

cnf(c281,plain,
    multiply(multiply(inverse(X3),inverse(multiply(X2,multiply(X4,multiply(multiply(inverse(X4),inverse(X6)),X5))))),inverse(X)) = multiply(multiply(inverse(X3),inverse(multiply(X2,multiply(X7,multiply(multiply(inverse(X7),inverse(X6)),X5))))),inverse(X)),
    inference(congruence,[status(thm)],[c280]) ).

cnf(c282,plain,
    multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X2,multiply(X4,multiply(multiply(inverse(X4),inverse(X6)),X5))))),inverse(X))) = multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X2,multiply(X7,multiply(multiply(inverse(X7),inverse(X6)),X5))))),inverse(X))),
    inference(congruence,[status(thm)],[c281]) ).

cnf(c283,plain,
    multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X2,multiply(X5,multiply(multiply(inverse(X5),inverse(X7)),X6))))),inverse(X))),multiply(X,multiply(X2,X4))) = multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X2,multiply(X8,multiply(multiply(inverse(X8),inverse(X7)),X6))))),inverse(X))),multiply(X,multiply(X2,X4))),
    inference(congruence,[status(thm)],[c282]) ).

cnf(c284,plain,
    inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X2,multiply(X5,multiply(multiply(inverse(X5),inverse(X7)),X6))))),inverse(X))),multiply(X,multiply(X2,X4)))) = inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X2,multiply(X8,multiply(multiply(inverse(X8),inverse(X7)),X6))))),inverse(X))),multiply(X,multiply(X2,X4)))),
    inference(congruence,[status(thm)],[c283]) ).

cnf(c285,plain,
    multiply(X4,inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X2,multiply(X5,multiply(multiply(inverse(X5),inverse(X7)),X6))))),inverse(X))),multiply(X,multiply(X2,X4))))) = multiply(X4,inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X2,multiply(X8,multiply(multiply(inverse(X8),inverse(X7)),X6))))),inverse(X))),multiply(X,multiply(X2,X4))))),
    inference(congruence,[status(thm)],[c284]) ).

cnf(c286,plain,
    multiply(X4,inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X2,multiply(X7,multiply(multiply(inverse(X7),inverse(X6)),X5))))),inverse(X))),multiply(X,multiply(X2,X4))))) = multiply(X7,multiply(multiply(inverse(X7),inverse(X6)),X5)),
    inference(substitution,[status(thm)],[c11]) ).

cnf(c287,plain,
    multiply(X4,inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X2,multiply(X5,multiply(multiply(inverse(X5),inverse(X7)),X6))))),inverse(X))),multiply(X,multiply(X2,X4))))) = multiply(X8,multiply(multiply(inverse(X8),inverse(X7)),X6)),
    inference(transitivity,[status(thm)],[c285,c286]) ).

cnf(c288,plain,
    multiply(X,multiply(multiply(inverse(X),inverse(X3)),X2)) = multiply(X4,multiply(multiply(inverse(X4),inverse(X3)),X2)),
    inference(transitivity,[status(thm)],[c242,c287]) ).

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

cnf(c290,plain,
    multiply(multiply(inverse(X3),inverse(X)),X) = multiply(multiply(X2,inverse(X2)),inverse(X3)),
    inference(substitution,[status(thm)],[c237]) ).

cnf(c291,plain,
    multiply(X3,multiply(multiply(inverse(X3),inverse(X)),X)) = multiply(X3,multiply(multiply(X2,inverse(X2)),inverse(X3))),
    inference(congruence,[status(thm)],[c290]) ).

cnf(c292,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(X)),X)) = multiply(X4,multiply(multiply(X3,inverse(X3)),inverse(X4))),
    inference(transitivity,[status(thm)],[c289,c291]) ).

cnf(c293,plain,
    multiply(X2,multiply(multiply(X,inverse(X)),inverse(X2))) = multiply(X4,multiply(multiply(X3,inverse(X3)),inverse(X4))),
    inference(transitivity,[status(thm)],[c240,c292]) ).

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

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

cnf(c296,plain,
    multiply(X2,multiply(inverse(X2),inverse(inverse(multiply(X,inverse(X)))))) = multiply(X4,multiply(multiply(X3,inverse(X3)),inverse(X4))),
    inference(transitivity,[status(thm)],[c214,c295]) ).

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

cnf(c298,plain,
    multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(X2))) = multiply(X2,multiply(inverse(X2),inverse(inverse(multiply(X,inverse(X)))))),
    inference(symmetry,[status(thm)],[c297]) ).

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

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

cnf(c301,plain,
    multiply(multiply(inverse(X2),inverse(multiply(X4,multiply(multiply(X5,inverse(X5)),inverse(X4))))),inverse(X)) = multiply(multiply(inverse(X2),inverse(multiply(X4,multiply(inverse(X4),inverse(inverse(multiply(X3,inverse(X3)))))))),inverse(X)),
    inference(congruence,[status(thm)],[c300]) ).

cnf(c302,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X4,multiply(multiply(X5,inverse(X5)),inverse(X4))))),inverse(X))) = multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X4,multiply(inverse(X4),inverse(inverse(multiply(X3,inverse(X3)))))))),inverse(X))),
    inference(congruence,[status(thm)],[c301]) ).

cnf(c303,plain,
    multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X5,multiply(multiply(X6,inverse(X6)),inverse(X5))))),inverse(X))),multiply(X,multiply(X5,X3))) = multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X5,multiply(inverse(X5),inverse(inverse(multiply(X4,inverse(X4)))))))),inverse(X))),multiply(X,multiply(X5,X3))),
    inference(congruence,[status(thm)],[c302]) ).

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

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

cnf(c306,plain,
    multiply(X3,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X5,multiply(inverse(X5),inverse(inverse(multiply(X4,inverse(X4)))))))),inverse(X))),multiply(X,multiply(X5,X3))))) = multiply(inverse(X5),inverse(inverse(multiply(X4,inverse(X4))))),
    inference(substitution,[status(thm)],[c11]) ).

cnf(c307,plain,
    multiply(X3,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X5,multiply(multiply(X6,inverse(X6)),inverse(X5))))),inverse(X))),multiply(X,multiply(X5,X3))))) = multiply(inverse(X5),inverse(inverse(multiply(X4,inverse(X4))))),
    inference(transitivity,[status(thm)],[c305,c306]) ).

cnf(c308,plain,
    multiply(multiply(X3,inverse(X3)),inverse(X2)) = multiply(inverse(X2),inverse(inverse(multiply(X,inverse(X))))),
    inference(transitivity,[status(thm)],[c196,c307]) ).

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

cnf(c310,plain,
    multiply(inverse(X),inverse(inverse(multiply(X2,inverse(X2))))) = multiply(multiply(inverse(X),inverse(inverse(X))),inverse(X)),
    inference(symmetry,[status(thm)],[c309]) ).

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

cnf(c312,plain,
    multiply(inverse(X2),inverse(multiply(inverse(X),inverse(inverse(multiply(X3,inverse(X3))))))) = multiply(inverse(X2),inverse(multiply(multiply(inverse(X),inverse(inverse(X))),inverse(X)))),
    inference(congruence,[status(thm)],[c311]) ).

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

cnf(c314,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(X),inverse(inverse(multiply(X3,inverse(X3))))))),inverse(X))) = multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(inverse(X),inverse(inverse(X))),inverse(X)))),inverse(X))),
    inference(congruence,[status(thm)],[c313]) ).

cnf(c315,plain,
    multiply(multiply(inverse(X3),inverse(inverse(X3))),inverse(X3)) = multiply(multiply(inverse(X3),inverse(multiply(inverse(X2),inverse(inverse(X))))),multiply(inverse(X2),inverse(inverse(X)))),
    inference(substitution,[status(thm)],[c224]) ).

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

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

cnf(c318,plain,
    multiply(multiply(inverse(X4),inverse(multiply(multiply(inverse(X3),inverse(inverse(X3))),inverse(X3)))),inverse(X3)) = multiply(multiply(inverse(X4),inverse(multiply(multiply(inverse(X3),inverse(multiply(inverse(X2),inverse(inverse(X))))),multiply(inverse(X2),inverse(inverse(X)))))),inverse(X3)),
    inference(congruence,[status(thm)],[c317]) ).

cnf(c319,plain,
    multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(multiply(inverse(X3),inverse(inverse(X3))),inverse(X3)))),inverse(X3))) = multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(multiply(inverse(X3),inverse(multiply(inverse(X2),inverse(inverse(X))))),multiply(inverse(X2),inverse(inverse(X)))))),inverse(X3))),
    inference(congruence,[status(thm)],[c318]) ).

cnf(c320,plain,
    multiply(X2,inverse(multiply(multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(inverse(X4),inverse(inverse(X3))))),inverse(X))),multiply(X,multiply(multiply(inverse(X4),inverse(inverse(X3))),X2))))) = multiply(X6,multiply(multiply(inverse(X6),inverse(multiply(multiply(inverse(X5),inverse(multiply(inverse(X4),inverse(inverse(X3))))),multiply(inverse(X4),inverse(inverse(X3)))))),inverse(X5))),
    inference(substitution,[status(thm)],[c22]) ).

cnf(c321,plain,
    multiply(X6,multiply(multiply(inverse(X6),inverse(multiply(multiply(inverse(X5),inverse(multiply(inverse(X4),inverse(inverse(X3))))),multiply(inverse(X4),inverse(inverse(X3)))))),inverse(X5))) = multiply(X2,inverse(multiply(multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(inverse(X4),inverse(inverse(X3))))),inverse(X))),multiply(X,multiply(multiply(inverse(X4),inverse(inverse(X3))),X2))))),
    inference(symmetry,[status(thm)],[c320]) ).

cnf(c322,plain,
    multiply(X,inverse(X)) = multiply(inverse(X2),inverse(inverse(X2))),
    inference(substitution,[status(thm)],[c233]) ).

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

cnf(c324,plain,
    multiply(multiply(inverse(X3),inverse(inverse(X2))),inverse(multiply(X,inverse(X)))) = multiply(multiply(inverse(X3),inverse(inverse(X2))),inverse(multiply(inverse(X2),inverse(inverse(X2))))),
    inference(congruence,[status(thm)],[c323]) ).

cnf(c325,plain,
    multiply(X3,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X6,multiply(multiply(inverse(X6),inverse(X5)),inverse(multiply(inverse(X4),inverse(X5))))))),inverse(X))),multiply(X,multiply(X6,X3))))) = multiply(multiply(inverse(X6),inverse(X5)),inverse(multiply(inverse(X4),inverse(X5)))),
    inference(substitution,[status(thm)],[c11]) ).

cnf(c326,plain,
    multiply(multiply(inverse(X6),inverse(X5)),inverse(multiply(inverse(X4),inverse(X5)))) = multiply(X3,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X6,multiply(multiply(inverse(X6),inverse(X5)),inverse(multiply(inverse(X4),inverse(X5))))))),inverse(X))),multiply(X,multiply(X6,X3))))),
    inference(symmetry,[status(thm)],[c325]) ).

cnf(c327,plain,
    multiply(X3,multiply(multiply(inverse(X3),inverse(X2)),inverse(multiply(inverse(X),inverse(X2))))) = multiply(X,multiply(multiply(inverse(X),inverse(X2)),inverse(multiply(inverse(X),inverse(X2))))),
    inference(substitution,[status(thm)],[c260]) ).

cnf(c328,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),inverse(multiply(inverse(X2),inverse(X3))))) = multiply(X,multiply(inverse(X),inverse(inverse(X2)))),
    inference(substitution,[status(thm)],[c212]) ).

cnf(c329,plain,
    multiply(X4,multiply(multiply(inverse(X4),inverse(X3)),inverse(multiply(inverse(X2),inverse(X3))))) = multiply(X,multiply(inverse(X),inverse(inverse(X2)))),
    inference(transitivity,[status(thm)],[c327,c328]) ).

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

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

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

cnf(c333,plain,
    multiply(multiply(inverse(X2),inverse(multiply(X5,multiply(multiply(inverse(X5),inverse(X4)),inverse(multiply(inverse(X3),inverse(X4))))))),inverse(X)) = multiply(multiply(inverse(X2),inverse(multiply(X5,multiply(inverse(X5),inverse(inverse(X3)))))),inverse(X)),
    inference(congruence,[status(thm)],[c332]) ).

cnf(c334,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X5,multiply(multiply(inverse(X5),inverse(X4)),inverse(multiply(inverse(X3),inverse(X4))))))),inverse(X))) = multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X5,multiply(inverse(X5),inverse(inverse(X3)))))),inverse(X))),
    inference(congruence,[status(thm)],[c333]) ).

cnf(c335,plain,
    multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X6,multiply(multiply(inverse(X6),inverse(X5)),inverse(multiply(inverse(X4),inverse(X5))))))),inverse(X))),multiply(X,multiply(X6,X3))) = multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X6,multiply(inverse(X6),inverse(inverse(X4)))))),inverse(X))),multiply(X,multiply(X6,X3))),
    inference(congruence,[status(thm)],[c334]) ).

cnf(c336,plain,
    inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X6,multiply(multiply(inverse(X6),inverse(X5)),inverse(multiply(inverse(X4),inverse(X5))))))),inverse(X))),multiply(X,multiply(X6,X3)))) = inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X6,multiply(inverse(X6),inverse(inverse(X4)))))),inverse(X))),multiply(X,multiply(X6,X3)))),
    inference(congruence,[status(thm)],[c335]) ).

cnf(c337,plain,
    multiply(X3,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X6,multiply(multiply(inverse(X6),inverse(X5)),inverse(multiply(inverse(X4),inverse(X5))))))),inverse(X))),multiply(X,multiply(X6,X3))))) = multiply(X3,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X6,multiply(inverse(X6),inverse(inverse(X4)))))),inverse(X))),multiply(X,multiply(X6,X3))))),
    inference(congruence,[status(thm)],[c336]) ).

cnf(c338,plain,
    multiply(X3,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X5,multiply(inverse(X5),inverse(inverse(X4)))))),inverse(X))),multiply(X,multiply(X5,X3))))) = multiply(inverse(X5),inverse(inverse(X4))),
    inference(substitution,[status(thm)],[c11]) ).

cnf(c339,plain,
    multiply(X3,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X6,multiply(multiply(inverse(X6),inverse(X5)),inverse(multiply(inverse(X4),inverse(X5))))))),inverse(X))),multiply(X,multiply(X6,X3))))) = multiply(inverse(X6),inverse(inverse(X4))),
    inference(transitivity,[status(thm)],[c337,c338]) ).

cnf(c340,plain,
    multiply(multiply(inverse(X3),inverse(X2)),inverse(multiply(inverse(X),inverse(X2)))) = multiply(inverse(X3),inverse(inverse(X))),
    inference(transitivity,[status(thm)],[c326,c339]) ).

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

cnf(c342,plain,
    multiply(multiply(inverse(X3),inverse(inverse(X2))),inverse(multiply(X,inverse(X)))) = multiply(inverse(X3),inverse(inverse(X2))),
    inference(transitivity,[status(thm)],[c324,c341]) ).

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

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

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

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

cnf(c347,plain,
    multiply(multiply(inverse(X4),inverse(multiply(inverse(X3),inverse(inverse(X2))))),inverse(X)) = multiply(multiply(inverse(X4),inverse(multiply(multiply(inverse(X3),inverse(inverse(X2))),inverse(multiply(X5,inverse(X5)))))),inverse(X)),
    inference(congruence,[status(thm)],[c346]) ).

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

cnf(c349,plain,
    multiply(multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(inverse(X4),inverse(inverse(X3))))),inverse(X))),multiply(X,multiply(multiply(inverse(X4),inverse(inverse(X3))),X2))) = multiply(multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(multiply(inverse(X4),inverse(inverse(X3))),inverse(multiply(X6,inverse(X6)))))),inverse(X))),multiply(X,multiply(multiply(inverse(X4),inverse(inverse(X3))),X2))),
    inference(congruence,[status(thm)],[c348]) ).

cnf(c350,plain,
    inverse(multiply(multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(inverse(X4),inverse(inverse(X3))))),inverse(X))),multiply(X,multiply(multiply(inverse(X4),inverse(inverse(X3))),X2)))) = inverse(multiply(multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(multiply(inverse(X4),inverse(inverse(X3))),inverse(multiply(X6,inverse(X6)))))),inverse(X))),multiply(X,multiply(multiply(inverse(X4),inverse(inverse(X3))),X2)))),
    inference(congruence,[status(thm)],[c349]) ).

cnf(c351,plain,
    multiply(X2,inverse(multiply(multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(inverse(X4),inverse(inverse(X3))))),inverse(X))),multiply(X,multiply(multiply(inverse(X4),inverse(inverse(X3))),X2))))) = multiply(X2,inverse(multiply(multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(multiply(inverse(X4),inverse(inverse(X3))),inverse(multiply(X6,inverse(X6)))))),inverse(X))),multiply(X,multiply(multiply(inverse(X4),inverse(inverse(X3))),X2))))),
    inference(congruence,[status(thm)],[c350]) ).

cnf(c352,plain,
    multiply(X2,inverse(multiply(multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(multiply(inverse(X4),inverse(inverse(X3))),inverse(multiply(X6,inverse(X6)))))),inverse(X))),multiply(X,multiply(multiply(inverse(X4),inverse(inverse(X3))),X2))))) = inverse(multiply(X6,inverse(X6))),
    inference(substitution,[status(thm)],[c11]) ).

cnf(c353,plain,
    multiply(X2,inverse(multiply(multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(inverse(X4),inverse(inverse(X3))))),inverse(X))),multiply(X,multiply(multiply(inverse(X4),inverse(inverse(X3))),X2))))) = inverse(multiply(X6,inverse(X6))),
    inference(transitivity,[status(thm)],[c351,c352]) ).

cnf(c354,plain,
    multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(multiply(inverse(X3),inverse(multiply(inverse(X2),inverse(inverse(X))))),multiply(inverse(X2),inverse(inverse(X)))))),inverse(X3))) = inverse(multiply(X5,inverse(X5))),
    inference(transitivity,[status(thm)],[c321,c353]) ).

cnf(c355,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(inverse(X),inverse(inverse(X))),inverse(X)))),inverse(X))) = inverse(multiply(X3,inverse(X3))),
    inference(transitivity,[status(thm)],[c319,c354]) ).

cnf(c356,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(X),inverse(inverse(multiply(X4,inverse(X4))))))),inverse(X))) = inverse(multiply(X3,inverse(X3))),
    inference(transitivity,[status(thm)],[c314,c355]) ).

cnf(c357,plain,
    multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X,inverse(inverse(multiply(X3,inverse(X3))))))),X)) = inverse(multiply(X2,inverse(X2))),
    inference(transitivity,[status(thm)],[c194,c356]) ).

cnf(c358,plain,
    multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X3,inverse(X3)))),inverse(multiply(X2,inverse(X2))))) = inverse(multiply(X,inverse(X))),
    inference(transitivity,[status(thm)],[c193,c357]) ).

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

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

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

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

cnf(c363,plain,
    multiply(inverse(multiply(X4,inverse(X4))),inverse(multiply(inverse(X3),inverse(multiply(X2,inverse(X2)))))) = multiply(inverse(multiply(X4,inverse(X4))),inverse(multiply(inverse(X3),multiply(X,multiply(multiply(inverse(X),inverse(multiply(X3,inverse(X3)))),inverse(multiply(X4,inverse(X4)))))))),
    inference(congruence,[status(thm)],[c362]) ).

cnf(c364,plain,
    multiply(inverse(multiply(X3,inverse(X3))),inverse(multiply(inverse(X2),multiply(X,multiply(multiply(inverse(X),inverse(multiply(X2,inverse(X2)))),inverse(multiply(X3,inverse(X3)))))))) = X2,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c365,plain,
    multiply(inverse(multiply(X3,inverse(X3))),inverse(multiply(inverse(X2),inverse(multiply(X,inverse(X)))))) = X2,
    inference(transitivity,[status(thm)],[c363,c364]) ).

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

cnf(c367,plain,
    X3 = multiply(inverse(multiply(X,inverse(X))),inverse(multiply(inverse(X3),inverse(multiply(X2,inverse(X2)))))),
    inference(symmetry,[status(thm)],[c366]) ).

cnf(c368,plain,
    multiply(X3,multiply(inverse(X3),inverse(multiply(X2,inverse(X2))))) = multiply(multiply(inverse(multiply(X,inverse(X))),inverse(multiply(inverse(X3),inverse(multiply(X2,inverse(X2)))))),multiply(inverse(X3),inverse(multiply(X2,inverse(X2))))),
    inference(congruence,[status(thm)],[c367]) ).

cnf(c369,plain,
    multiply(multiply(inverse(multiply(X,inverse(X))),inverse(multiply(inverse(X3),inverse(multiply(X2,inverse(X2)))))),multiply(inverse(X3),inverse(multiply(X2,inverse(X2))))) = multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X)))),
    inference(substitution,[status(thm)],[c237]) ).

cnf(c370,plain,
    multiply(X2,inverse(X2)) = multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X)))),
    inference(substitution,[status(thm)],[c233]) ).

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

cnf(c372,plain,
    multiply(multiply(inverse(multiply(X,inverse(X))),inverse(multiply(inverse(X4),inverse(multiply(X3,inverse(X3)))))),multiply(inverse(X4),inverse(multiply(X3,inverse(X3))))) = multiply(X2,inverse(X2)),
    inference(transitivity,[status(thm)],[c369,c371]) ).

cnf(c373,plain,
    multiply(X3,multiply(inverse(X3),inverse(multiply(X2,inverse(X2))))) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c368,c372]) ).

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

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

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

cnf(c377,plain,
    multiply(multiply(inverse(X2),inverse(multiply(X4,multiply(inverse(X4),inverse(multiply(X3,inverse(X3))))))),inverse(X)) = multiply(multiply(inverse(X2),inverse(multiply(X4,inverse(X4)))),inverse(X)),
    inference(congruence,[status(thm)],[c376]) ).

cnf(c378,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X4,multiply(inverse(X4),inverse(multiply(X3,inverse(X3))))))),inverse(X))) = multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X4,inverse(X4)))),inverse(X))),
    inference(congruence,[status(thm)],[c377]) ).

cnf(c379,plain,
    multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X5,multiply(inverse(X5),inverse(multiply(X4,inverse(X4))))))),inverse(X))),multiply(X,multiply(X5,X3))) = multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X5,inverse(X5)))),inverse(X))),multiply(X,multiply(X5,X3))),
    inference(congruence,[status(thm)],[c378]) ).

cnf(c380,plain,
    inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X5,multiply(inverse(X5),inverse(multiply(X4,inverse(X4))))))),inverse(X))),multiply(X,multiply(X5,X3)))) = inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X5,inverse(X5)))),inverse(X))),multiply(X,multiply(X5,X3)))),
    inference(congruence,[status(thm)],[c379]) ).

cnf(c381,plain,
    multiply(X3,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X5,multiply(inverse(X5),inverse(multiply(X4,inverse(X4))))))),inverse(X))),multiply(X,multiply(X5,X3))))) = multiply(X3,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X5,inverse(X5)))),inverse(X))),multiply(X,multiply(X5,X3))))),
    inference(congruence,[status(thm)],[c380]) ).

cnf(c382,plain,
    multiply(X4,inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X5,inverse(X5)))),inverse(X2))),multiply(X2,multiply(X5,X4))))) = multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(X3),inverse(multiply(X5,inverse(X5)))),X5))),inverse(X3))),
    inference(substitution,[status(thm)],[c22]) ).

cnf(c383,plain,
    multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(X2),inverse(multiply(X3,inverse(X3)))),X3))),inverse(X2))) = inverse(X3),
    inference(substitution,[status(thm)],[c26]) ).

cnf(c384,plain,
    multiply(X3,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X4,inverse(X4)))),inverse(X))),multiply(X,multiply(X4,X3))))) = inverse(X4),
    inference(transitivity,[status(thm)],[c382,c383]) ).

cnf(c385,plain,
    multiply(X3,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X5,multiply(inverse(X5),inverse(multiply(X4,inverse(X4))))))),inverse(X))),multiply(X,multiply(X5,X3))))) = inverse(X5),
    inference(transitivity,[status(thm)],[c381,c384]) ).

cnf(c386,plain,
    multiply(inverse(X2),inverse(multiply(X,inverse(X)))) = inverse(X2),
    inference(transitivity,[status(thm)],[c13,c385]) ).

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

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

cnf(c389,plain,
    multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X2,inverse(X2)))),inverse(multiply(X,inverse(X))))) = inverse(multiply(X4,inverse(X4))),
    inference(substitution,[status(thm)],[c358]) ).

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

cnf(c391,plain,
    multiply(multiply(inverse(X3),inverse(multiply(X2,inverse(X2)))),inverse(multiply(X,inverse(X)))) = multiply(inverse(X3),inverse(multiply(X,inverse(X)))),
    inference(congruence,[status(thm)],[c386]) ).

cnf(c392,plain,
    multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X2,inverse(X2)))),inverse(multiply(X,inverse(X))))) = multiply(X3,multiply(inverse(X3),inverse(multiply(X,inverse(X))))),
    inference(congruence,[status(thm)],[c391]) ).

cnf(c393,plain,
    multiply(X2,multiply(inverse(X2),inverse(multiply(X,inverse(X))))) = multiply(X3,inverse(X3)),
    inference(substitution,[status(thm)],[c373]) ).

cnf(c394,plain,
    multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X2,inverse(X2)))),inverse(multiply(X,inverse(X))))) = multiply(X4,inverse(X4)),
    inference(transitivity,[status(thm)],[c392,c393]) ).

cnf(c395,plain,
    inverse(multiply(X2,inverse(X2))) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c390,c394]) ).

cnf(c396,plain,
    inverse(multiply(X,inverse(X))) = multiply(X2,inverse(X2)),
    inference(substitution,[status(thm)],[c395]) ).

cnf(c397,plain,
    multiply(X2,inverse(X2)) = inverse(multiply(X,inverse(X))),
    inference(symmetry,[status(thm)],[c396]) ).

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

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

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

cnf(c401,plain,
    multiply(multiply(X,inverse(X)),inverse(X3)) = multiply(inverse(X3),inverse(inverse(multiply(X2,inverse(X2))))),
    inference(substitution,[status(thm)],[c308]) ).

cnf(c402,plain,
    multiply(inverse(X3),inverse(inverse(multiply(X2,inverse(X2))))) = multiply(multiply(X,inverse(X)),inverse(X3)),
    inference(symmetry,[status(thm)],[c401]) ).

cnf(c403,plain,
    multiply(multiply(inverse(X3),inverse(inverse(multiply(X2,inverse(X2))))),X3) = multiply(multiply(multiply(X,inverse(X)),inverse(X3)),X3),
    inference(congruence,[status(thm)],[c402]) ).

cnf(c404,plain,
    inverse(multiply(X,inverse(X))) = multiply(X2,inverse(X2)),
    inference(substitution,[status(thm)],[c395]) ).

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

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

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

cnf(c408,plain,
    multiply(multiply(inverse(multiply(X,inverse(X))),inverse(X2)),X2) = multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X)))),
    inference(substitution,[status(thm)],[c237]) ).

cnf(c409,plain,
    multiply(X2,inverse(X2)) = multiply(multiply(X,inverse(X)),inverse(multiply(X,inverse(X)))),
    inference(substitution,[status(thm)],[c233]) ).

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

cnf(c411,plain,
    multiply(multiply(inverse(multiply(X,inverse(X))),inverse(X3)),X3) = multiply(X2,inverse(X2)),
    inference(transitivity,[status(thm)],[c408,c410]) ).

cnf(c412,plain,
    multiply(multiply(multiply(X,inverse(X)),inverse(X3)),X3) = multiply(X2,inverse(X2)),
    inference(transitivity,[status(thm)],[c407,c411]) ).

cnf(c413,plain,
    multiply(multiply(inverse(X3),inverse(inverse(multiply(X,inverse(X))))),X3) = multiply(X2,inverse(X2)),
    inference(transitivity,[status(thm)],[c403,c412]) ).

cnf(c414,plain,
    multiply(multiply(inverse(X3),inverse(multiply(X,inverse(X)))),X3) = multiply(X2,inverse(X2)),
    inference(transitivity,[status(thm)],[c400,c413]) ).

cnf(c415,plain,
    multiply(inverse(X2),X2) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c388,c414]) ).

cnf(c416,plain,
    multiply(inverse(b2),b2) = multiply(X,inverse(X)),
    inference(substitution,[status(thm)],[c415]) ).

cnf(c417,plain,
    multiply(multiply(inverse(b2),b2),a2) = multiply(multiply(X,inverse(X)),a2),
    inference(congruence,[status(thm)],[c416]) ).

cnf(c418,plain,
    multiply(X4,inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X2,multiply(multiply(X6,inverse(X6)),X5)))),inverse(X))),multiply(X,multiply(X2,X4))))) = multiply(multiply(X6,inverse(X6)),X5),
    inference(substitution,[status(thm)],[c11]) ).

cnf(c419,plain,
    multiply(multiply(X6,inverse(X6)),X5) = multiply(X4,inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X2,multiply(multiply(X6,inverse(X6)),X5)))),inverse(X))),multiply(X,multiply(X2,X4))))),
    inference(symmetry,[status(thm)],[c418]) ).

cnf(c420,plain,
    multiply(X,inverse(X)) = multiply(inverse(X2),inverse(inverse(X2))),
    inference(substitution,[status(thm)],[c233]) ).

cnf(c421,plain,
    multiply(multiply(X2,inverse(X2)),X) = multiply(multiply(inverse(X3),inverse(inverse(X3))),X),
    inference(congruence,[status(thm)],[c420]) ).

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

cnf(c423,plain,
    multiply(X2,inverse(X2)) = multiply(inverse(X),inverse(inverse(X))),
    inference(substitution,[status(thm)],[c233]) ).

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

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

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

cnf(c427,plain,
    multiply(multiply(inverse(X3),inverse(multiply(multiply(X2,inverse(X2)),X4))),inverse(X)) = multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X),inverse(inverse(X))),X4))),inverse(X)),
    inference(congruence,[status(thm)],[c426]) ).

cnf(c428,plain,
    multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(X2,inverse(X2)),X4))),inverse(X))) = multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X),inverse(inverse(X))),X4))),inverse(X))),
    inference(congruence,[status(thm)],[c427]) ).

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

cnf(c430,plain,
    multiply(X2,inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X7,multiply(multiply(inverse(X7),inverse(multiply(multiply(inverse(X6),inverse(multiply(X5,X4))),X5))),inverse(X6))))),inverse(X))),multiply(X,multiply(X7,X2))))) = multiply(multiply(inverse(X7),inverse(multiply(multiply(inverse(X6),inverse(multiply(X5,X4))),X5))),inverse(X6)),
    inference(substitution,[status(thm)],[c11]) ).

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

cnf(c432,plain,
    inverse(multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(multiply(inverse(X3),inverse(multiply(X2,X))),X2))),inverse(X3)))) = inverse(X),
    inference(congruence,[status(thm)],[c26]) ).

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

cnf(c434,plain,
    multiply(multiply(inverse(X2),inverse(multiply(X6,multiply(multiply(inverse(X6),inverse(multiply(multiply(inverse(X5),inverse(multiply(X4,X3))),X4))),inverse(X5))))),inverse(X)) = multiply(multiply(inverse(X2),inverse(X3)),inverse(X)),
    inference(congruence,[status(thm)],[c433]) ).

cnf(c435,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X6,multiply(multiply(inverse(X6),inverse(multiply(multiply(inverse(X5),inverse(multiply(X4,X3))),X4))),inverse(X5))))),inverse(X))) = multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),inverse(X))),
    inference(congruence,[status(thm)],[c434]) ).

cnf(c436,plain,
    multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X7,multiply(multiply(inverse(X7),inverse(multiply(multiply(inverse(X6),inverse(multiply(X5,X4))),X5))),inverse(X6))))),inverse(X))),multiply(X,multiply(X7,X2))) = multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(X4)),inverse(X))),multiply(X,multiply(X7,X2))),
    inference(congruence,[status(thm)],[c435]) ).

cnf(c437,plain,
    inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X7,multiply(multiply(inverse(X7),inverse(multiply(multiply(inverse(X6),inverse(multiply(X5,X4))),X5))),inverse(X6))))),inverse(X))),multiply(X,multiply(X7,X2)))) = inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(X4)),inverse(X))),multiply(X,multiply(X7,X2)))),
    inference(congruence,[status(thm)],[c436]) ).

cnf(c438,plain,
    multiply(X2,inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X7,multiply(multiply(inverse(X7),inverse(multiply(multiply(inverse(X6),inverse(multiply(X5,X4))),X5))),inverse(X6))))),inverse(X))),multiply(X,multiply(X7,X2))))) = multiply(X2,inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(X4)),inverse(X))),multiply(X,multiply(X7,X2))))),
    inference(congruence,[status(thm)],[c437]) ).

cnf(c439,plain,
    multiply(X2,inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(X5)),inverse(X))),multiply(X,multiply(X6,X2))))) = multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(multiply(inverse(X3),inverse(X5)),X6))),inverse(X3))),
    inference(substitution,[status(thm)],[c22]) ).

cnf(c440,plain,
    multiply(X2,inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X8,multiply(multiply(inverse(X8),inverse(multiply(multiply(inverse(X7),inverse(multiply(X6,X5))),X6))),inverse(X7))))),inverse(X))),multiply(X,multiply(X8,X2))))) = multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(multiply(inverse(X3),inverse(X5)),X8))),inverse(X3))),
    inference(transitivity,[status(thm)],[c438,c439]) ).

cnf(c441,plain,
    multiply(multiply(inverse(X6),inverse(multiply(multiply(inverse(X5),inverse(multiply(X4,X3))),X4))),inverse(X5)) = multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(inverse(X),inverse(X3)),X6))),inverse(X))),
    inference(transitivity,[status(thm)],[c431,c440]) ).

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

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

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

cnf(c445,plain,
    multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(multiply(X,inverse(X))),inverse(multiply(inverse(multiply(X,inverse(X))),multiply(X3,inverse(X3))))),inverse(multiply(X,inverse(X)))))),inverse(multiply(X,inverse(X)))) = multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(multiply(inverse(X2),inverse(multiply(X3,inverse(X3)))),X3))),inverse(X2))),
    inference(substitution,[status(thm)],[c441]) ).

cnf(c446,plain,
    multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(multiply(inverse(X2),inverse(multiply(X3,inverse(X3)))),X3))),inverse(X2))) = multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(multiply(X,inverse(X))),inverse(multiply(inverse(multiply(X,inverse(X))),multiply(X3,inverse(X3))))),inverse(multiply(X,inverse(X)))))),inverse(multiply(X,inverse(X)))),
    inference(symmetry,[status(thm)],[c445]) ).

cnf(c447,plain,
    multiply(X,inverse(X)) = multiply(inverse(X2),X2),
    inference(symmetry,[status(thm)],[c415]) ).

cnf(c448,plain,
    multiply(X2,multiply(X,inverse(X))) = multiply(X2,multiply(inverse(X2),X2)),
    inference(congruence,[status(thm)],[c447]) ).

cnf(c449,plain,
    multiply(inverse(X),inverse(multiply(X,inverse(X)))) = inverse(X),
    inference(substitution,[status(thm)],[c386]) ).

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

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

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

cnf(c453,plain,
    multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X3,inverse(X3)))),X3)) = multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(X),inverse(X3)))),inverse(X))),
    inference(substitution,[status(thm)],[c133]) ).

cnf(c454,plain,
    inverse(X2) = multiply(inverse(X2),inverse(multiply(X,inverse(X)))),
    inference(symmetry,[status(thm)],[c386]) ).

cnf(c455,plain,
    multiply(inverse(X2),inverse(X3)) = multiply(multiply(inverse(X2),inverse(multiply(X,inverse(X)))),inverse(X3)),
    inference(congruence,[status(thm)],[c454]) ).

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

cnf(c457,plain,
    multiply(inverse(X3),inverse(multiply(inverse(X2),inverse(X4)))) = multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(multiply(X,inverse(X)))),inverse(X4)))),
    inference(congruence,[status(thm)],[c456]) ).

cnf(c458,plain,
    multiply(multiply(inverse(X3),inverse(multiply(inverse(X2),inverse(X4)))),inverse(X2)) = multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(multiply(X,inverse(X)))),inverse(X4)))),inverse(X2)),
    inference(congruence,[status(thm)],[c457]) ).

cnf(c459,plain,
    multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(inverse(X2),inverse(X4)))),inverse(X2))) = multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(multiply(X,inverse(X)))),inverse(X4)))),inverse(X2))),
    inference(congruence,[status(thm)],[c458]) ).

cnf(c460,plain,
    multiply(X2,inverse(multiply(multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X3,inverse(X3)))),inverse(X))),multiply(X,multiply(inverse(X6),X2))))) = multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(multiply(inverse(X4),inverse(multiply(X3,inverse(X3)))),inverse(X6)))),inverse(X4))),
    inference(substitution,[status(thm)],[c22]) ).

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

cnf(c462,plain,
    multiply(X,inverse(X)) = multiply(inverse(X2),X2),
    inference(symmetry,[status(thm)],[c415]) ).

cnf(c463,plain,
    inverse(multiply(X,inverse(X))) = inverse(multiply(inverse(X2),X2)),
    inference(congruence,[status(thm)],[c462]) ).

cnf(c464,plain,
    multiply(inverse(X2),inverse(multiply(X,inverse(X)))) = multiply(inverse(X2),inverse(multiply(inverse(X3),X3))),
    inference(congruence,[status(thm)],[c463]) ).

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

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

cnf(c467,plain,
    multiply(multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X3,inverse(X3)))),inverse(X))),multiply(X,multiply(inverse(X5),X2))) = multiply(multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(inverse(X5),X5))),inverse(X))),multiply(X,multiply(inverse(X5),X2))),
    inference(congruence,[status(thm)],[c466]) ).

cnf(c468,plain,
    inverse(multiply(multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X3,inverse(X3)))),inverse(X))),multiply(X,multiply(inverse(X5),X2)))) = inverse(multiply(multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(inverse(X5),X5))),inverse(X))),multiply(X,multiply(inverse(X5),X2)))),
    inference(congruence,[status(thm)],[c467]) ).

cnf(c469,plain,
    multiply(X2,inverse(multiply(multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X3,inverse(X3)))),inverse(X))),multiply(X,multiply(inverse(X5),X2))))) = multiply(X2,inverse(multiply(multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(inverse(X5),X5))),inverse(X))),multiply(X,multiply(inverse(X5),X2))))),
    inference(congruence,[status(thm)],[c468]) ).

cnf(c470,plain,
    multiply(X2,inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(inverse(X4),X4))),inverse(X))),multiply(X,multiply(inverse(X4),X2))))) = X4,
    inference(substitution,[status(thm)],[c11]) ).

cnf(c471,plain,
    multiply(X2,inverse(multiply(multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X3,inverse(X3)))),inverse(X))),multiply(X,multiply(inverse(X5),X2))))) = X5,
    inference(transitivity,[status(thm)],[c469,c470]) ).

cnf(c472,plain,
    multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(multiply(X,inverse(X)))),inverse(X4)))),inverse(X2))) = X4,
    inference(transitivity,[status(thm)],[c461,c471]) ).

cnf(c473,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(X),inverse(X3)))),inverse(X))) = X3,
    inference(transitivity,[status(thm)],[c459,c472]) ).

cnf(c474,plain,
    multiply(X,multiply(multiply(inverse(X),inverse(multiply(X,inverse(X)))),X)) = X,
    inference(transitivity,[status(thm)],[c453,c473]) ).

cnf(c475,plain,
    multiply(X,multiply(inverse(X),X)) = X,
    inference(transitivity,[status(thm)],[c452,c474]) ).

cnf(c476,plain,
    multiply(X2,multiply(X,inverse(X))) = X2,
    inference(transitivity,[status(thm)],[c448,c475]) ).

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

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

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

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

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

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

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

cnf(c484,plain,
    multiply(multiply(inverse(multiply(X,inverse(X))),inverse(inverse(multiply(X,inverse(X))))),inverse(multiply(X,inverse(X)))) = multiply(inverse(multiply(X,inverse(X))),inverse(inverse(multiply(X,inverse(X))))),
    inference(substitution,[status(thm)],[c308]) ).

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

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

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

cnf(c488,plain,
    multiply(inverse(X2),inverse(multiply(inverse(multiply(X,inverse(X))),inverse(inverse(multiply(X,inverse(X))))))) = inverse(X2),
    inference(substitution,[status(thm)],[c386]) ).

cnf(c489,plain,
    multiply(multiply(inverse(X2),inverse(multiply(inverse(multiply(X,inverse(X))),inverse(inverse(multiply(X,inverse(X))))))),inverse(multiply(X,inverse(X)))) = multiply(inverse(X2),inverse(multiply(X,inverse(X)))),
    inference(congruence,[status(thm)],[c488]) ).

cnf(c490,plain,
    multiply(multiply(inverse(X2),inverse(multiply(inverse(multiply(X,inverse(X))),inverse(inverse(multiply(X,inverse(X))))))),inverse(multiply(X,inverse(X)))) = inverse(X2),
    inference(transitivity,[status(thm)],[c489,c386]) ).

cnf(c491,plain,
    multiply(multiply(inverse(X2),inverse(multiply(multiply(inverse(multiply(X,inverse(X))),inverse(inverse(multiply(X,inverse(X))))),inverse(multiply(X,inverse(X)))))),inverse(multiply(X,inverse(X)))) = inverse(X2),
    inference(transitivity,[status(thm)],[c487,c490]) ).

cnf(c492,plain,
    multiply(multiply(inverse(X2),inverse(multiply(multiply(inverse(multiply(X,inverse(X))),inverse(multiply(inverse(multiply(X,inverse(X))),multiply(X2,inverse(X2))))),inverse(multiply(X,inverse(X)))))),inverse(multiply(X,inverse(X)))) = inverse(X2),
    inference(transitivity,[status(thm)],[c483,c491]) ).

cnf(c493,plain,
    multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X),inverse(multiply(X2,inverse(X2)))),X2))),inverse(X))) = inverse(X2),
    inference(transitivity,[status(thm)],[c446,c492]) ).

cnf(c494,plain,
    multiply(X3,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(inverse(X),inverse(inverse(X))),X3))),inverse(X)))) = inverse(X),
    inference(transitivity,[status(thm)],[c444,c493]) ).

cnf(c495,plain,
    multiply(X4,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(X2,inverse(X2)),X4))),inverse(X)))) = inverse(X),
    inference(transitivity,[status(thm)],[c429,c494]) ).

cnf(c496,plain,
    multiply(X3,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(X,inverse(X)),X3))),inverse(X4)))) = inverse(X4),
    inference(substitution,[status(thm)],[c495]) ).

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

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

cnf(c499,plain,
    inverse(multiply(X5,multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(multiply(X3,inverse(X3)),X5))),inverse(X6))))) = multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(inverse(X),inverse(multiply(X3,inverse(X3)))),inverse(X6)))),inverse(X))),
    inference(substitution,[status(thm)],[c37]) ).

cnf(c500,plain,
    multiply(inverse(X),inverse(multiply(X2,inverse(X2)))) = inverse(X),
    inference(substitution,[status(thm)],[c386]) ).

cnf(c501,plain,
    multiply(multiply(inverse(X),inverse(multiply(X2,inverse(X2)))),inverse(X3)) = multiply(inverse(X),inverse(X3)),
    inference(congruence,[status(thm)],[c500]) ).

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

cnf(c503,plain,
    multiply(inverse(X2),inverse(multiply(multiply(inverse(X),inverse(multiply(X3,inverse(X3)))),inverse(X4)))) = multiply(inverse(X2),inverse(multiply(inverse(X),inverse(X4)))),
    inference(congruence,[status(thm)],[c502]) ).

cnf(c504,plain,
    multiply(multiply(inverse(X2),inverse(multiply(multiply(inverse(X),inverse(multiply(X3,inverse(X3)))),inverse(X4)))),inverse(X)) = multiply(multiply(inverse(X2),inverse(multiply(inverse(X),inverse(X4)))),inverse(X)),
    inference(congruence,[status(thm)],[c503]) ).

cnf(c505,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(inverse(X),inverse(multiply(X3,inverse(X3)))),inverse(X4)))),inverse(X))) = multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(X),inverse(X4)))),inverse(X))),
    inference(congruence,[status(thm)],[c504]) ).

cnf(c506,plain,
    multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X3,inverse(X3)))),X3)) = multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(X),inverse(X3)))),inverse(X))),
    inference(substitution,[status(thm)],[c133]) ).

cnf(c507,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(X),inverse(X3)))),inverse(X))) = multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X3,inverse(X3)))),X3)),
    inference(symmetry,[status(thm)],[c506]) ).

cnf(c508,plain,
    multiply(inverse(X),inverse(multiply(X,inverse(X)))) = inverse(X),
    inference(substitution,[status(thm)],[c386]) ).

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

cnf(c510,plain,
    multiply(X,multiply(multiply(inverse(X),inverse(multiply(X,inverse(X)))),X)) = multiply(X,multiply(inverse(X),X)),
    inference(congruence,[status(thm)],[c509]) ).

cnf(c511,plain,
    multiply(X2,multiply(inverse(X2),X2)) = multiply(X2,multiply(X,inverse(X))),
    inference(congruence,[status(thm)],[c415]) ).

cnf(c512,plain,
    multiply(X,multiply(inverse(X),X)) = X,
    inference(transitivity,[status(thm)],[c511,c476]) ).

cnf(c513,plain,
    multiply(X,multiply(multiply(inverse(X),inverse(multiply(X,inverse(X)))),X)) = X,
    inference(transitivity,[status(thm)],[c510,c512]) ).

cnf(c514,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(X),inverse(X3)))),inverse(X))) = X3,
    inference(transitivity,[status(thm)],[c507,c513]) ).

cnf(c515,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(inverse(X),inverse(multiply(X3,inverse(X3)))),inverse(X4)))),inverse(X))) = X4,
    inference(transitivity,[status(thm)],[c505,c514]) ).

cnf(c516,plain,
    inverse(multiply(X3,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(X,inverse(X)),X3))),inverse(X4))))) = X4,
    inference(transitivity,[status(thm)],[c499,c515]) ).

cnf(c517,plain,
    inverse(inverse(X)) = X,
    inference(transitivity,[status(thm)],[c498,c516]) ).

cnf(c518,plain,
    X = inverse(inverse(X)),
    inference(symmetry,[status(thm)],[c517]) ).

cnf(c519,plain,
    inverse(X) = inverse(inverse(inverse(X))),
    inference(congruence,[status(thm)],[c518]) ).

cnf(c520,plain,
    multiply(inverse(X2),inverse(X)) = multiply(inverse(X2),inverse(inverse(inverse(X)))),
    inference(congruence,[status(thm)],[c519]) ).

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

cnf(c522,plain,
    multiply(inverse(X2),multiply(X,inverse(X))) = multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(X2))))),
    inference(substitution,[status(thm)],[c212]) ).

cnf(c523,plain,
    multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(X2))))) = multiply(inverse(X2),multiply(X,inverse(X))),
    inference(symmetry,[status(thm)],[c522]) ).

cnf(c524,plain,
    inverse(multiply(X,inverse(X))) = multiply(X2,inverse(X2)),
    inference(substitution,[status(thm)],[c395]) ).

cnf(c525,plain,
    multiply(X2,inverse(X2)) = inverse(multiply(X,inverse(X))),
    inference(symmetry,[status(thm)],[c524]) ).

cnf(c526,plain,
    multiply(inverse(X3),multiply(X2,inverse(X2))) = multiply(inverse(X3),inverse(multiply(X,inverse(X)))),
    inference(congruence,[status(thm)],[c525]) ).

cnf(c527,plain,
    multiply(inverse(X2),multiply(X,inverse(X))) = inverse(X2),
    inference(transitivity,[status(thm)],[c526,c386]) ).

cnf(c528,plain,
    multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(X))))) = inverse(X),
    inference(transitivity,[status(thm)],[c523,c527]) ).

cnf(c529,plain,
    multiply(X2,multiply(inverse(X2),inverse(X))) = inverse(X),
    inference(transitivity,[status(thm)],[c521,c528]) ).

cnf(c530,plain,
    multiply(X,multiply(inverse(X),inverse(X2))) = inverse(X2),
    inference(substitution,[status(thm)],[c529]) ).

cnf(c531,plain,
    inverse(X2) = multiply(X,multiply(inverse(X),inverse(X2))),
    inference(symmetry,[status(thm)],[c530]) ).

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

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

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

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

cnf(c536,plain,
    multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X3,multiply(inverse(X3),inverse(X4))))),X3)) = multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(X),multiply(inverse(X3),inverse(X4))))),inverse(X))),
    inference(substitution,[status(thm)],[c133]) ).

cnf(c537,plain,
    multiply(X3,multiply(inverse(X3),inverse(multiply(X2,X)))) = multiply(inverse(X),multiply(inverse(inverse(X)),inverse(multiply(X2,X)))),
    inference(substitution,[status(thm)],[c164]) ).

cnf(c538,plain,
    multiply(X2,inverse(multiply(X4,multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(inverse(X3)),inverse(multiply(X4,X3))),X4))),X2))))) = multiply(inverse(inverse(X3)),inverse(multiply(X4,X3))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c539,plain,
    multiply(inverse(inverse(X3)),inverse(multiply(X4,X3))) = multiply(X2,inverse(multiply(X4,multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(inverse(X3)),inverse(multiply(X4,X3))),X4))),X2))))),
    inference(symmetry,[status(thm)],[c538]) ).

cnf(c540,plain,
    multiply(X6,multiply(multiply(inverse(X6),inverse(X5)),inverse(multiply(X4,multiply(X3,multiply(X2,multiply(inverse(X),inverse(X5)))))))) = multiply(X,multiply(multiply(inverse(X),inverse(X5)),inverse(multiply(X4,multiply(X3,multiply(X2,multiply(inverse(X),inverse(X5)))))))),
    inference(substitution,[status(thm)],[c260]) ).

cnf(c541,plain,
    multiply(X,multiply(multiply(inverse(X),inverse(multiply(X3,multiply(inverse(X2),inverse(multiply(X5,multiply(X4,multiply(X3,inverse(X2))))))))),inverse(X4))) = X5,
    inference(substitution,[status(thm)],[c74]) ).

cnf(c542,plain,
    X5 = multiply(X,multiply(multiply(inverse(X),inverse(multiply(X3,multiply(inverse(X2),inverse(multiply(X5,multiply(X4,multiply(X3,inverse(X2))))))))),inverse(X4))),
    inference(symmetry,[status(thm)],[c541]) ).

cnf(c543,plain,
    multiply(X6,multiply(X5,multiply(X4,X3))) = multiply(multiply(X,multiply(multiply(inverse(X),inverse(multiply(X4,multiply(inverse(X2),inverse(multiply(X6,multiply(X5,multiply(X4,inverse(X2))))))))),inverse(X5))),multiply(X5,multiply(X4,X3))),
    inference(congruence,[status(thm)],[c542]) ).

cnf(c544,plain,
    inverse(multiply(X6,multiply(X5,multiply(X4,X3)))) = inverse(multiply(multiply(X,multiply(multiply(inverse(X),inverse(multiply(X4,multiply(inverse(X2),inverse(multiply(X6,multiply(X5,multiply(X4,inverse(X2))))))))),inverse(X5))),multiply(X5,multiply(X4,X3)))),
    inference(congruence,[status(thm)],[c543]) ).

cnf(c545,plain,
    multiply(X3,inverse(multiply(X6,multiply(X5,multiply(X4,X3))))) = multiply(X3,inverse(multiply(multiply(X,multiply(multiply(inverse(X),inverse(multiply(X4,multiply(inverse(X2),inverse(multiply(X6,multiply(X5,multiply(X4,inverse(X2))))))))),inverse(X5))),multiply(X5,multiply(X4,X3))))),
    inference(congruence,[status(thm)],[c544]) ).

cnf(c546,plain,
    multiply(X3,inverse(multiply(multiply(X,multiply(multiply(inverse(X),inverse(multiply(X4,multiply(inverse(X2),inverse(multiply(X6,multiply(X5,multiply(X4,inverse(X2))))))))),inverse(X5))),multiply(X5,multiply(X4,X3))))) = multiply(inverse(X2),inverse(multiply(X6,multiply(X5,multiply(X4,inverse(X2)))))),
    inference(substitution,[status(thm)],[c11]) ).

cnf(c547,plain,
    multiply(X6,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,multiply(inverse(X),inverse(multiply(X5,multiply(X4,multiply(X3,inverse(X))))))))),inverse(X4))),multiply(X4,multiply(X3,X6))))) = multiply(inverse(X),inverse(multiply(X5,multiply(X4,multiply(X3,inverse(X)))))),
    inference(substitution,[status(thm)],[c11]) ).

cnf(c548,plain,
    multiply(inverse(X),inverse(multiply(X5,multiply(X4,multiply(X3,inverse(X)))))) = multiply(X6,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,multiply(inverse(X),inverse(multiply(X5,multiply(X4,multiply(X3,inverse(X))))))))),inverse(X4))),multiply(X4,multiply(X3,X6))))),
    inference(symmetry,[status(thm)],[c547]) ).

cnf(c549,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,multiply(inverse(X),inverse(multiply(X5,multiply(X4,multiply(X3,inverse(X))))))))),inverse(X4))) = X5,
    inference(substitution,[status(thm)],[c74]) ).

cnf(c550,plain,
    multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,multiply(inverse(X),inverse(multiply(X5,multiply(X4,multiply(X3,inverse(X))))))))),inverse(X4))),multiply(X4,multiply(X3,X6))) = multiply(X5,multiply(X4,multiply(X3,X6))),
    inference(congruence,[status(thm)],[c549]) ).

cnf(c551,plain,
    inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,multiply(inverse(X),inverse(multiply(X5,multiply(X4,multiply(X3,inverse(X))))))))),inverse(X4))),multiply(X4,multiply(X3,X6)))) = inverse(multiply(X5,multiply(X4,multiply(X3,X6)))),
    inference(congruence,[status(thm)],[c550]) ).

cnf(c552,plain,
    multiply(X6,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,multiply(inverse(X),inverse(multiply(X5,multiply(X4,multiply(X3,inverse(X))))))))),inverse(X4))),multiply(X4,multiply(X3,X6))))) = multiply(X6,inverse(multiply(X5,multiply(X4,multiply(X3,X6))))),
    inference(congruence,[status(thm)],[c551]) ).

cnf(c553,plain,
    multiply(inverse(X),inverse(multiply(X4,multiply(X3,multiply(X2,inverse(X)))))) = multiply(X5,inverse(multiply(X4,multiply(X3,multiply(X2,X5))))),
    inference(transitivity,[status(thm)],[c548,c552]) ).

cnf(c554,plain,
    multiply(X3,inverse(multiply(multiply(X,multiply(multiply(inverse(X),inverse(multiply(X4,multiply(inverse(X2),inverse(multiply(X6,multiply(X5,multiply(X4,inverse(X2))))))))),inverse(X5))),multiply(X5,multiply(X4,X3))))) = multiply(X7,inverse(multiply(X6,multiply(X5,multiply(X4,X7))))),
    inference(transitivity,[status(thm)],[c546,c553]) ).

cnf(c555,plain,
    multiply(X,inverse(multiply(X4,multiply(X3,multiply(X2,X))))) = multiply(X5,inverse(multiply(X4,multiply(X3,multiply(X2,X5))))),
    inference(transitivity,[status(thm)],[c545,c554]) ).

cnf(c556,plain,
    multiply(X,inverse(multiply(X5,multiply(X4,multiply(X3,X))))) = multiply(multiply(inverse(X2),inverse(X6)),inverse(multiply(X5,multiply(X4,multiply(X3,multiply(inverse(X2),inverse(X6))))))),
    inference(substitution,[status(thm)],[c555]) ).

cnf(c557,plain,
    multiply(multiply(inverse(X2),inverse(X6)),inverse(multiply(X5,multiply(X4,multiply(X3,multiply(inverse(X2),inverse(X6))))))) = multiply(X,inverse(multiply(X5,multiply(X4,multiply(X3,X))))),
    inference(symmetry,[status(thm)],[c556]) ).

cnf(c558,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(X6)),inverse(multiply(X5,multiply(X4,multiply(X3,multiply(inverse(X2),inverse(X6)))))))) = multiply(X2,multiply(X,inverse(multiply(X5,multiply(X4,multiply(X3,X)))))),
    inference(congruence,[status(thm)],[c557]) ).

cnf(c559,plain,
    multiply(X7,multiply(multiply(inverse(X7),inverse(X6)),inverse(multiply(X5,multiply(X4,multiply(X3,multiply(inverse(X2),inverse(X6)))))))) = multiply(X2,multiply(X,inverse(multiply(X5,multiply(X4,multiply(X3,X)))))),
    inference(transitivity,[status(thm)],[c540,c558]) ).

cnf(c560,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(X)),inverse(multiply(X6,multiply(X5,multiply(X4,multiply(inverse(X4),inverse(X)))))))) = multiply(X4,multiply(X3,inverse(multiply(X6,multiply(X5,multiply(X4,X3)))))),
    inference(substitution,[status(thm)],[c559]) ).

cnf(c561,plain,
    multiply(X4,multiply(X3,inverse(multiply(X6,multiply(X5,multiply(X4,X3)))))) = multiply(X2,multiply(multiply(inverse(X2),inverse(X)),inverse(multiply(X6,multiply(X5,multiply(X4,multiply(inverse(X4),inverse(X)))))))),
    inference(symmetry,[status(thm)],[c560]) ).

cnf(c562,plain,
    multiply(X2,multiply(inverse(X2),inverse(X))) = multiply(X3,multiply(inverse(X3),inverse(X))),
    inference(substitution,[status(thm)],[c164]) ).

cnf(c563,plain,
    multiply(X3,multiply(X2,multiply(inverse(X2),inverse(X)))) = multiply(X3,multiply(X4,multiply(inverse(X4),inverse(X)))),
    inference(congruence,[status(thm)],[c562]) ).

cnf(c564,plain,
    multiply(X4,multiply(X3,multiply(X2,multiply(inverse(X2),inverse(X))))) = multiply(X4,multiply(X3,multiply(X5,multiply(inverse(X5),inverse(X))))),
    inference(congruence,[status(thm)],[c563]) ).

cnf(c565,plain,
    inverse(multiply(X4,multiply(X3,multiply(X2,multiply(inverse(X2),inverse(X)))))) = inverse(multiply(X4,multiply(X3,multiply(X5,multiply(inverse(X5),inverse(X)))))),
    inference(congruence,[status(thm)],[c564]) ).

cnf(c566,plain,
    multiply(multiply(inverse(X2),inverse(X)),inverse(multiply(X5,multiply(X4,multiply(X3,multiply(inverse(X3),inverse(X))))))) = multiply(multiply(inverse(X2),inverse(X)),inverse(multiply(X5,multiply(X4,multiply(X6,multiply(inverse(X6),inverse(X))))))),
    inference(congruence,[status(thm)],[c565]) ).

cnf(c567,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(X)),inverse(multiply(X5,multiply(X4,multiply(X3,multiply(inverse(X3),inverse(X)))))))) = multiply(X2,multiply(multiply(inverse(X2),inverse(X)),inverse(multiply(X5,multiply(X4,multiply(X6,multiply(inverse(X6),inverse(X)))))))),
    inference(congruence,[status(thm)],[c566]) ).

cnf(c568,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(X)),inverse(multiply(X4,multiply(X3,multiply(X6,multiply(inverse(X6),inverse(X)))))))) = multiply(X6,multiply(X5,inverse(multiply(X4,multiply(X3,multiply(X6,X5)))))),
    inference(substitution,[status(thm)],[c559]) ).

cnf(c569,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(X)),inverse(multiply(X5,multiply(X4,multiply(X3,multiply(inverse(X3),inverse(X)))))))) = multiply(X7,multiply(X6,inverse(multiply(X5,multiply(X4,multiply(X7,X6)))))),
    inference(transitivity,[status(thm)],[c567,c568]) ).

cnf(c570,plain,
    multiply(X2,multiply(X,inverse(multiply(X4,multiply(X3,multiply(X2,X)))))) = multiply(X6,multiply(X5,inverse(multiply(X4,multiply(X3,multiply(X6,X5)))))),
    inference(transitivity,[status(thm)],[c561,c569]) ).

cnf(c571,plain,
    multiply(X6,multiply(X5,inverse(multiply(X4,multiply(X3,multiply(X6,X5)))))) = multiply(multiply(inverse(X3),inverse(multiply(X2,X4))),multiply(X,inverse(multiply(X4,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X2,X4))),X)))))),
    inference(substitution,[status(thm)],[c570]) ).

cnf(c572,plain,
    multiply(X,inverse(multiply(X4,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X2,X4))),X))))) = X2,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c573,plain,
    multiply(multiply(inverse(X3),inverse(multiply(X2,X4))),multiply(X,inverse(multiply(X4,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X2,X4))),X)))))) = multiply(multiply(inverse(X3),inverse(multiply(X2,X4))),X2),
    inference(congruence,[status(thm)],[c572]) ).

cnf(c574,plain,
    multiply(X5,multiply(X4,inverse(multiply(X3,multiply(X2,multiply(X5,X4)))))) = multiply(multiply(inverse(X2),inverse(multiply(X,X3))),X),
    inference(transitivity,[status(thm)],[c571,c573]) ).

cnf(c575,plain,
    multiply(X2,multiply(X,inverse(multiply(X4,multiply(inverse(X4),multiply(X2,X)))))) = multiply(multiply(inverse(inverse(X4)),inverse(multiply(X3,X4))),X3),
    inference(substitution,[status(thm)],[c574]) ).

cnf(c576,plain,
    multiply(multiply(inverse(inverse(X4)),inverse(multiply(X3,X4))),X3) = multiply(X2,multiply(X,inverse(multiply(X4,multiply(inverse(X4),multiply(X2,X)))))),
    inference(symmetry,[status(thm)],[c575]) ).

cnf(c577,plain,
    multiply(X3,multiply(inverse(X3),multiply(X2,X))) = multiply(X4,multiply(inverse(X4),multiply(X2,X))),
    inference(substitution,[status(thm)],[c164]) ).

cnf(c578,plain,
    inverse(multiply(X3,multiply(inverse(X3),multiply(X2,X)))) = inverse(multiply(X4,multiply(inverse(X4),multiply(X2,X)))),
    inference(congruence,[status(thm)],[c577]) ).

cnf(c579,plain,
    multiply(X,inverse(multiply(X3,multiply(inverse(X3),multiply(X2,X))))) = multiply(X,inverse(multiply(X4,multiply(inverse(X4),multiply(X2,X))))),
    inference(congruence,[status(thm)],[c578]) ).

cnf(c580,plain,
    multiply(X2,multiply(X,inverse(multiply(X3,multiply(inverse(X3),multiply(X2,X)))))) = multiply(X2,multiply(X,inverse(multiply(X4,multiply(inverse(X4),multiply(X2,X)))))),
    inference(congruence,[status(thm)],[c579]) ).

cnf(c581,plain,
    multiply(X2,multiply(X,inverse(multiply(X4,multiply(inverse(X4),multiply(X2,X)))))) = multiply(multiply(inverse(inverse(X4)),inverse(multiply(X3,X4))),X3),
    inference(substitution,[status(thm)],[c574]) ).

cnf(c582,plain,
    multiply(X2,multiply(X,inverse(multiply(X3,multiply(inverse(X3),multiply(X2,X)))))) = multiply(multiply(inverse(inverse(X5)),inverse(multiply(X4,X5))),X4),
    inference(transitivity,[status(thm)],[c580,c581]) ).

cnf(c583,plain,
    multiply(multiply(inverse(inverse(X2)),inverse(multiply(X,X2))),X) = multiply(multiply(inverse(inverse(X4)),inverse(multiply(X3,X4))),X3),
    inference(transitivity,[status(thm)],[c576,c582]) ).

cnf(c584,plain,
    multiply(multiply(inverse(inverse(X)),inverse(multiply(X2,X))),X2) = multiply(multiply(inverse(inverse(X3)),inverse(multiply(X2,X3))),X2),
    inference(substitution,[status(thm)],[c583]) ).

cnf(c585,plain,
    inverse(multiply(multiply(inverse(inverse(X)),inverse(multiply(X2,X))),X2)) = inverse(multiply(multiply(inverse(inverse(X3)),inverse(multiply(X2,X3))),X2)),
    inference(congruence,[status(thm)],[c584]) ).

cnf(c586,plain,
    multiply(inverse(X),inverse(multiply(multiply(inverse(inverse(X2)),inverse(multiply(X3,X2))),X3))) = multiply(inverse(X),inverse(multiply(multiply(inverse(inverse(X4)),inverse(multiply(X3,X4))),X3))),
    inference(congruence,[status(thm)],[c585]) ).

cnf(c587,plain,
    multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(inverse(X3)),inverse(multiply(X4,X3))),X4))),X2) = multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(inverse(X5)),inverse(multiply(X4,X5))),X4))),X2),
    inference(congruence,[status(thm)],[c586]) ).

cnf(c588,plain,
    multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(inverse(X3)),inverse(multiply(X4,X3))),X4))),X2)) = multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(inverse(X5)),inverse(multiply(X4,X5))),X4))),X2)),
    inference(congruence,[status(thm)],[c587]) ).

cnf(c589,plain,
    multiply(X4,multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(inverse(X3)),inverse(multiply(X4,X3))),X4))),X2))) = multiply(X4,multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(inverse(X5)),inverse(multiply(X4,X5))),X4))),X2))),
    inference(congruence,[status(thm)],[c588]) ).

cnf(c590,plain,
    inverse(multiply(X4,multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(inverse(X3)),inverse(multiply(X4,X3))),X4))),X2)))) = inverse(multiply(X4,multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(inverse(X5)),inverse(multiply(X4,X5))),X4))),X2)))),
    inference(congruence,[status(thm)],[c589]) ).

cnf(c591,plain,
    multiply(X2,inverse(multiply(X4,multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(inverse(X3)),inverse(multiply(X4,X3))),X4))),X2))))) = multiply(X2,inverse(multiply(X4,multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(inverse(X5)),inverse(multiply(X4,X5))),X4))),X2))))),
    inference(congruence,[status(thm)],[c590]) ).

cnf(c592,plain,
    multiply(X2,inverse(multiply(X3,multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(inverse(X4)),inverse(multiply(X3,X4))),X3))),X2))))) = multiply(inverse(inverse(X4)),inverse(multiply(X3,X4))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c593,plain,
    multiply(X2,inverse(multiply(X4,multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(inverse(X3)),inverse(multiply(X4,X3))),X4))),X2))))) = multiply(inverse(inverse(X5)),inverse(multiply(X4,X5))),
    inference(transitivity,[status(thm)],[c591,c592]) ).

cnf(c594,plain,
    multiply(inverse(inverse(X)),inverse(multiply(X2,X))) = multiply(inverse(inverse(X3)),inverse(multiply(X2,X3))),
    inference(transitivity,[status(thm)],[c539,c593]) ).

cnf(c595,plain,
    multiply(inverse(inverse(X)),inverse(multiply(X3,X))) = multiply(inverse(inverse(X2)),inverse(multiply(X3,X2))),
    inference(substitution,[status(thm)],[c594]) ).

cnf(c596,plain,
    multiply(inverse(inverse(X2)),inverse(multiply(X3,X2))) = multiply(inverse(inverse(X)),inverse(multiply(X3,X))),
    inference(symmetry,[status(thm)],[c595]) ).

cnf(c597,plain,
    multiply(inverse(X2),multiply(inverse(inverse(X2)),inverse(multiply(X3,X2)))) = multiply(inverse(X2),multiply(inverse(inverse(X)),inverse(multiply(X3,X)))),
    inference(congruence,[status(thm)],[c596]) ).

cnf(c598,plain,
    multiply(X3,multiply(inverse(X3),inverse(inverse(X2)))) = multiply(X2,multiply(X,inverse(X))),
    inference(symmetry,[status(thm)],[c212]) ).

cnf(c599,plain,
    multiply(multiply(inverse(X2),inverse(X)),X) = multiply(multiply(inverse(X2),inverse(multiply(inverse(inverse(X2)),inverse(inverse(inverse(X2)))))),multiply(inverse(inverse(X2)),inverse(inverse(inverse(X2))))),
    inference(substitution,[status(thm)],[c224]) ).

cnf(c600,plain,
    multiply(inverse(X),inverse(multiply(inverse(inverse(X)),inverse(inverse(inverse(X)))))) = inverse(X),
    inference(substitution,[status(thm)],[c386]) ).

cnf(c601,plain,
    multiply(multiply(inverse(X),inverse(multiply(inverse(inverse(X)),inverse(inverse(inverse(X)))))),multiply(inverse(inverse(X)),inverse(inverse(inverse(X))))) = multiply(inverse(X),multiply(inverse(inverse(X)),inverse(inverse(inverse(X))))),
    inference(congruence,[status(thm)],[c600]) ).

cnf(c602,plain,
    multiply(inverse(X),multiply(inverse(inverse(X)),inverse(inverse(inverse(X))))) = inverse(X),
    inference(substitution,[status(thm)],[c528]) ).

cnf(c603,plain,
    multiply(multiply(inverse(X),inverse(multiply(inverse(inverse(X)),inverse(inverse(inverse(X)))))),multiply(inverse(inverse(X)),inverse(inverse(inverse(X))))) = inverse(X),
    inference(transitivity,[status(thm)],[c601,c602]) ).

cnf(c604,plain,
    multiply(multiply(inverse(X2),inverse(X)),X) = inverse(X2),
    inference(transitivity,[status(thm)],[c599,c603]) ).

cnf(c605,plain,
    multiply(multiply(inverse(X2),inverse(inverse(X))),inverse(X)) = inverse(X2),
    inference(substitution,[status(thm)],[c604]) ).

cnf(c606,plain,
    inverse(X2) = multiply(multiply(inverse(X2),inverse(inverse(X))),inverse(X)),
    inference(symmetry,[status(thm)],[c605]) ).

cnf(c607,plain,
    multiply(X2,inverse(X2)) = multiply(X2,multiply(multiply(inverse(X2),inverse(inverse(X))),inverse(X))),
    inference(congruence,[status(thm)],[c606]) ).

cnf(c608,plain,
    multiply(X3,multiply(X2,inverse(X2))) = multiply(X3,multiply(X2,multiply(multiply(inverse(X2),inverse(inverse(X))),inverse(X)))),
    inference(congruence,[status(thm)],[c607]) ).

cnf(c609,plain,
    inverse(X2) = multiply(multiply(inverse(X2),inverse(X)),X),
    inference(symmetry,[status(thm)],[c604]) ).

cnf(c610,plain,
    inverse(inverse(X2)) = inverse(multiply(multiply(inverse(X2),inverse(X)),X)),
    inference(congruence,[status(thm)],[c609]) ).

cnf(c611,plain,
    multiply(inverse(X3),inverse(inverse(X2))) = multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),
    inference(congruence,[status(thm)],[c610]) ).

cnf(c612,plain,
    multiply(multiply(inverse(X3),inverse(inverse(X2))),inverse(X2)) = multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2)),
    inference(congruence,[status(thm)],[c611]) ).

cnf(c613,plain,
    multiply(X3,multiply(multiply(inverse(X3),inverse(inverse(X2))),inverse(X2))) = multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2))),
    inference(congruence,[status(thm)],[c612]) ).

cnf(c614,plain,
    multiply(X4,multiply(X3,multiply(multiply(inverse(X3),inverse(inverse(X2))),inverse(X2)))) = multiply(X4,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),inverse(X)),X))),inverse(X2)))),
    inference(congruence,[status(thm)],[c613]) ).

cnf(c615,plain,
    multiply(X3,multiply(X2,multiply(multiply(inverse(X2),inverse(inverse(X))),inverse(X)))) = X3,
    inference(transitivity,[status(thm)],[c614,c140]) ).

cnf(c616,plain,
    multiply(X2,multiply(X,inverse(X))) = X2,
    inference(transitivity,[status(thm)],[c608,c615]) ).

cnf(c617,plain,
    multiply(X2,multiply(inverse(X2),inverse(inverse(X)))) = X,
    inference(transitivity,[status(thm)],[c598,c616]) ).

cnf(c618,plain,
    multiply(X,multiply(inverse(X),inverse(inverse(X2)))) = X2,
    inference(substitution,[status(thm)],[c617]) ).

cnf(c619,plain,
    X2 = multiply(X,multiply(inverse(X),inverse(inverse(X2)))),
    inference(symmetry,[status(thm)],[c618]) ).

cnf(c620,plain,
    multiply(X2,X3) = multiply(X2,multiply(X,multiply(inverse(X),inverse(inverse(X3))))),
    inference(congruence,[status(thm)],[c619]) ).

cnf(c621,plain,
    inverse(multiply(X2,X3)) = inverse(multiply(X2,multiply(X,multiply(inverse(X),inverse(inverse(X3)))))),
    inference(congruence,[status(thm)],[c620]) ).

cnf(c622,plain,
    multiply(inverse(inverse(X3)),inverse(multiply(X2,X3))) = multiply(inverse(inverse(X3)),inverse(multiply(X2,multiply(X,multiply(inverse(X),inverse(inverse(X3))))))),
    inference(congruence,[status(thm)],[c621]) ).

cnf(c623,plain,
    multiply(inverse(inverse(X3)),inverse(multiply(X2,multiply(X,multiply(inverse(X),inverse(inverse(X3))))))) = multiply(X,inverse(multiply(X2,multiply(X,multiply(inverse(X),X))))),
    inference(substitution,[status(thm)],[c79]) ).

cnf(c624,plain,
    multiply(X2,multiply(inverse(X2),X2)) = multiply(X2,multiply(X,inverse(X))),
    inference(congruence,[status(thm)],[c415]) ).

cnf(c625,plain,
    multiply(X3,multiply(X2,multiply(inverse(X2),X2))) = multiply(X3,multiply(X2,multiply(X,inverse(X)))),
    inference(congruence,[status(thm)],[c624]) ).

cnf(c626,plain,
    inverse(multiply(X3,multiply(X2,multiply(inverse(X2),X2)))) = inverse(multiply(X3,multiply(X2,multiply(X,inverse(X))))),
    inference(congruence,[status(thm)],[c625]) ).

cnf(c627,plain,
    multiply(X2,inverse(multiply(X3,multiply(X2,multiply(inverse(X2),X2))))) = multiply(X2,inverse(multiply(X3,multiply(X2,multiply(X,inverse(X)))))),
    inference(congruence,[status(thm)],[c626]) ).

cnf(c628,plain,
    multiply(X3,multiply(X2,multiply(X,inverse(X)))) = multiply(X3,X2),
    inference(congruence,[status(thm)],[c476]) ).

cnf(c629,plain,
    inverse(multiply(X3,multiply(X2,multiply(X,inverse(X))))) = inverse(multiply(X3,X2)),
    inference(congruence,[status(thm)],[c628]) ).

cnf(c630,plain,
    multiply(X2,inverse(multiply(X3,multiply(X2,multiply(X,inverse(X)))))) = multiply(X2,inverse(multiply(X3,X2))),
    inference(congruence,[status(thm)],[c629]) ).

cnf(c631,plain,
    multiply(X,inverse(multiply(X2,multiply(X,multiply(inverse(X),X))))) = multiply(X,inverse(multiply(X2,X))),
    inference(transitivity,[status(thm)],[c627,c630]) ).

cnf(c632,plain,
    multiply(inverse(inverse(X3)),inverse(multiply(X2,multiply(X,multiply(inverse(X),inverse(inverse(X3))))))) = multiply(X,inverse(multiply(X2,X))),
    inference(transitivity,[status(thm)],[c623,c631]) ).

cnf(c633,plain,
    multiply(inverse(inverse(X3)),inverse(multiply(X2,X3))) = multiply(X,inverse(multiply(X2,X))),
    inference(transitivity,[status(thm)],[c622,c632]) ).

cnf(c634,plain,
    multiply(inverse(inverse(X2)),inverse(multiply(X3,X2))) = multiply(X,inverse(multiply(X3,X))),
    inference(substitution,[status(thm)],[c633]) ).

cnf(c635,plain,
    multiply(inverse(X3),multiply(inverse(inverse(X2)),inverse(multiply(X4,X2)))) = multiply(inverse(X3),multiply(X,inverse(multiply(X4,X)))),
    inference(congruence,[status(thm)],[c634]) ).

cnf(c636,plain,
    X = inverse(inverse(X)),
    inference(symmetry,[status(thm)],[c517]) ).

cnf(c637,plain,
    multiply(X2,inverse(multiply(X,X2))) = multiply(inverse(inverse(X2)),inverse(multiply(X,X2))),
    inference(congruence,[status(thm)],[c636]) ).

cnf(c638,plain,
    multiply(inverse(inverse(X2)),inverse(multiply(X,X2))) = multiply(inverse(inverse(inverse(X))),inverse(multiply(X,inverse(X)))),
    inference(substitution,[status(thm)],[c594]) ).

cnf(c639,plain,
    inverse(inverse(inverse(X))) = inverse(X),
    inference(congruence,[status(thm)],[c517]) ).

cnf(c640,plain,
    multiply(inverse(inverse(inverse(X))),inverse(multiply(X,inverse(X)))) = multiply(inverse(X),inverse(multiply(X,inverse(X)))),
    inference(congruence,[status(thm)],[c639]) ).

cnf(c641,plain,
    multiply(inverse(X),inverse(multiply(X,inverse(X)))) = inverse(X),
    inference(substitution,[status(thm)],[c386]) ).

cnf(c642,plain,
    multiply(inverse(inverse(inverse(X))),inverse(multiply(X,inverse(X)))) = inverse(X),
    inference(transitivity,[status(thm)],[c640,c641]) ).

cnf(c643,plain,
    multiply(inverse(inverse(X2)),inverse(multiply(X,X2))) = inverse(X),
    inference(transitivity,[status(thm)],[c638,c642]) ).

cnf(c644,plain,
    multiply(X2,inverse(multiply(X,X2))) = inverse(X),
    inference(transitivity,[status(thm)],[c637,c643]) ).

cnf(c645,plain,
    multiply(X,inverse(multiply(X2,X))) = inverse(X2),
    inference(substitution,[status(thm)],[c644]) ).

cnf(c646,plain,
    multiply(inverse(X2),multiply(X,inverse(multiply(X3,X)))) = multiply(inverse(X2),inverse(X3)),
    inference(congruence,[status(thm)],[c645]) ).

cnf(c647,plain,
    multiply(inverse(X2),multiply(inverse(inverse(X)),inverse(multiply(X3,X)))) = multiply(inverse(X2),inverse(X3)),
    inference(transitivity,[status(thm)],[c635,c646]) ).

cnf(c648,plain,
    multiply(inverse(X),multiply(inverse(inverse(X)),inverse(multiply(X2,X)))) = multiply(inverse(X),inverse(X2)),
    inference(transitivity,[status(thm)],[c597,c647]) ).

cnf(c649,plain,
    multiply(X3,multiply(inverse(X3),inverse(multiply(X2,X)))) = multiply(inverse(X),inverse(X2)),
    inference(transitivity,[status(thm)],[c537,c648]) ).

cnf(c650,plain,
    multiply(X,multiply(inverse(X),inverse(multiply(X3,X2)))) = multiply(inverse(X2),inverse(X3)),
    inference(substitution,[status(thm)],[c649]) ).

cnf(c651,plain,
    multiply(inverse(X2),inverse(X3)) = multiply(X,multiply(inverse(X),inverse(multiply(X3,X2)))),
    inference(symmetry,[status(thm)],[c650]) ).

cnf(c652,plain,
    multiply(inverse(X2),multiply(inverse(X3),inverse(X4))) = multiply(inverse(X2),multiply(X,multiply(inverse(X),inverse(multiply(X4,X3))))),
    inference(congruence,[status(thm)],[c651]) ).

cnf(c653,plain,
    inverse(multiply(inverse(X2),multiply(inverse(X3),inverse(X4)))) = inverse(multiply(inverse(X2),multiply(X,multiply(inverse(X),inverse(multiply(X4,X3)))))),
    inference(congruence,[status(thm)],[c652]) ).

cnf(c654,plain,
    multiply(inverse(X3),inverse(multiply(inverse(X2),multiply(inverse(X4),inverse(X5))))) = multiply(inverse(X3),inverse(multiply(inverse(X2),multiply(X,multiply(inverse(X),inverse(multiply(X5,X4))))))),
    inference(congruence,[status(thm)],[c653]) ).

cnf(c655,plain,
    multiply(multiply(inverse(X3),inverse(multiply(inverse(X2),multiply(inverse(X4),inverse(X5))))),inverse(X2)) = multiply(multiply(inverse(X3),inverse(multiply(inverse(X2),multiply(X,multiply(inverse(X),inverse(multiply(X5,X4))))))),inverse(X2)),
    inference(congruence,[status(thm)],[c654]) ).

cnf(c656,plain,
    multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(inverse(X2),multiply(inverse(X4),inverse(X5))))),inverse(X2))) = multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(inverse(X2),multiply(X,multiply(inverse(X),inverse(multiply(X5,X4))))))),inverse(X2))),
    inference(congruence,[status(thm)],[c655]) ).

cnf(c657,plain,
    multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(inverse(X3),multiply(X2,multiply(inverse(X2),inverse(multiply(X6,X5))))))),inverse(X3))) = multiply(multiply(X6,X5),multiply(inverse(multiply(X6,X5)),multiply(X,multiply(multiply(inverse(X),inverse(multiply(inverse(X2),inverse(multiply(X6,X5))))),inverse(X2))))),
    inference(substitution,[status(thm)],[c110]) ).

cnf(c658,plain,
    multiply(X,inverse(multiply(inverse(X2),multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(multiply(inverse(X2),inverse(X))),inverse(X2)))),X))))) = inverse(multiply(inverse(X2),inverse(X))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c659,plain,
    inverse(multiply(inverse(X2),inverse(X))) = multiply(X,inverse(multiply(inverse(X2),multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(multiply(inverse(X2),inverse(X))),inverse(X2)))),X))))),
    inference(symmetry,[status(thm)],[c658]) ).

cnf(c660,plain,
    X = inverse(inverse(X)),
    inference(symmetry,[status(thm)],[c517]) ).

cnf(c661,plain,
    inverse(X) = inverse(inverse(inverse(X))),
    inference(congruence,[status(thm)],[c660]) ).

cnf(c662,plain,
    multiply(inverse(X2),inverse(X)) = multiply(inverse(X2),inverse(inverse(inverse(X)))),
    inference(congruence,[status(thm)],[c661]) ).

cnf(c663,plain,
    inverse(multiply(inverse(X2),inverse(X))) = inverse(multiply(inverse(X2),inverse(inverse(inverse(X))))),
    inference(congruence,[status(thm)],[c662]) ).

cnf(c664,plain,
    inverse(inverse(multiply(inverse(X2),inverse(X)))) = inverse(inverse(multiply(inverse(X2),inverse(inverse(inverse(X)))))),
    inference(congruence,[status(thm)],[c663]) ).

cnf(c665,plain,
    multiply(inverse(inverse(multiply(inverse(X2),inverse(X)))),X) = multiply(inverse(inverse(multiply(inverse(X2),inverse(inverse(inverse(X)))))),X),
    inference(congruence,[status(thm)],[c664]) ).

cnf(c666,plain,
    X = inverse(inverse(X)),
    inference(symmetry,[status(thm)],[c517]) ).

cnf(c667,plain,
    multiply(inverse(inverse(multiply(inverse(X2),inverse(inverse(inverse(X)))))),X) = multiply(inverse(inverse(multiply(inverse(X2),inverse(inverse(inverse(X)))))),inverse(inverse(X))),
    inference(congruence,[status(thm)],[c666]) ).

cnf(c668,plain,
    inverse(X) = multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(X))))),
    inference(symmetry,[status(thm)],[c528]) ).

cnf(c669,plain,
    inverse(inverse(X)) = inverse(multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(X)))))),
    inference(congruence,[status(thm)],[c668]) ).

cnf(c670,plain,
    multiply(inverse(inverse(multiply(inverse(X2),inverse(inverse(inverse(X)))))),inverse(inverse(X))) = multiply(inverse(inverse(multiply(inverse(X2),inverse(inverse(inverse(X)))))),inverse(multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(X))))))),
    inference(congruence,[status(thm)],[c669]) ).

cnf(c671,plain,
    multiply(inverse(inverse(multiply(inverse(X3),inverse(inverse(inverse(X2)))))),inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(X2))))))) = multiply(X,inverse(multiply(X3,X))),
    inference(substitution,[status(thm)],[c633]) ).

cnf(c672,plain,
    multiply(X,inverse(multiply(X2,X))) = inverse(X2),
    inference(substitution,[status(thm)],[c644]) ).

cnf(c673,plain,
    multiply(inverse(inverse(multiply(inverse(X2),inverse(inverse(inverse(X)))))),inverse(multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(X))))))) = inverse(X2),
    inference(transitivity,[status(thm)],[c671,c672]) ).

cnf(c674,plain,
    multiply(inverse(inverse(multiply(inverse(X2),inverse(inverse(inverse(X)))))),inverse(inverse(X))) = inverse(X2),
    inference(transitivity,[status(thm)],[c670,c673]) ).

cnf(c675,plain,
    multiply(inverse(inverse(multiply(inverse(X2),inverse(inverse(inverse(X)))))),X) = inverse(X2),
    inference(transitivity,[status(thm)],[c667,c674]) ).

cnf(c676,plain,
    multiply(inverse(inverse(multiply(inverse(X2),inverse(X)))),X) = inverse(X2),
    inference(transitivity,[status(thm)],[c665,c675]) ).

cnf(c677,plain,
    inverse(X2) = multiply(inverse(inverse(multiply(inverse(X2),inverse(X)))),X),
    inference(symmetry,[status(thm)],[c676]) ).

cnf(c678,plain,
    multiply(inverse(multiply(inverse(X2),inverse(X))),inverse(X2)) = multiply(inverse(multiply(inverse(X2),inverse(X))),multiply(inverse(inverse(multiply(inverse(X2),inverse(X)))),X)),
    inference(congruence,[status(thm)],[c677]) ).

cnf(c679,plain,
    multiply(X,multiply(inverse(X),X)) = multiply(inverse(multiply(inverse(X2),inverse(X))),multiply(inverse(inverse(multiply(inverse(X2),inverse(X)))),X)),
    inference(substitution,[status(thm)],[c164]) ).

cnf(c680,plain,
    multiply(inverse(multiply(inverse(X2),inverse(X))),multiply(inverse(inverse(multiply(inverse(X2),inverse(X)))),X)) = multiply(X,multiply(inverse(X),X)),
    inference(symmetry,[status(thm)],[c679]) ).

cnf(c681,plain,
    multiply(X2,multiply(inverse(X2),X2)) = multiply(X2,multiply(X,inverse(X))),
    inference(congruence,[status(thm)],[c415]) ).

cnf(c682,plain,
    multiply(X,multiply(inverse(X),X)) = X,
    inference(transitivity,[status(thm)],[c681,c476]) ).

cnf(c683,plain,
    multiply(inverse(multiply(inverse(X2),inverse(X))),multiply(inverse(inverse(multiply(inverse(X2),inverse(X)))),X)) = X,
    inference(transitivity,[status(thm)],[c680,c682]) ).

cnf(c684,plain,
    multiply(inverse(multiply(inverse(X2),inverse(X))),inverse(X2)) = X,
    inference(transitivity,[status(thm)],[c678,c683]) ).

cnf(c685,plain,
    inverse(multiply(inverse(multiply(inverse(X2),inverse(X))),inverse(X2))) = inverse(X),
    inference(congruence,[status(thm)],[c684]) ).

cnf(c686,plain,
    multiply(inverse(X2),inverse(multiply(inverse(multiply(inverse(X2),inverse(X))),inverse(X2)))) = multiply(inverse(X2),inverse(X)),
    inference(congruence,[status(thm)],[c685]) ).

cnf(c687,plain,
    multiply(multiply(inverse(X2),inverse(multiply(inverse(multiply(inverse(X2),inverse(X))),inverse(X2)))),X) = multiply(multiply(inverse(X2),inverse(X)),X),
    inference(congruence,[status(thm)],[c686]) ).

cnf(c688,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(multiply(inverse(X2),inverse(X))),inverse(X2)))),X)) = multiply(X2,multiply(multiply(inverse(X2),inverse(X)),X)),
    inference(congruence,[status(thm)],[c687]) ).

cnf(c689,plain,
    multiply(inverse(X2),multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(multiply(inverse(X2),inverse(X))),inverse(X2)))),X))) = multiply(inverse(X2),multiply(X2,multiply(multiply(inverse(X2),inverse(X)),X))),
    inference(congruence,[status(thm)],[c688]) ).

cnf(c690,plain,
    inverse(multiply(inverse(X2),multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(multiply(inverse(X2),inverse(X))),inverse(X2)))),X)))) = inverse(multiply(inverse(X2),multiply(X2,multiply(multiply(inverse(X2),inverse(X)),X)))),
    inference(congruence,[status(thm)],[c689]) ).

cnf(c691,plain,
    multiply(X,inverse(multiply(inverse(X2),multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(multiply(inverse(X2),inverse(X))),inverse(X2)))),X))))) = multiply(X,inverse(multiply(inverse(X2),multiply(X2,multiply(multiply(inverse(X2),inverse(X)),X))))),
    inference(congruence,[status(thm)],[c690]) ).

cnf(c692,plain,
    X = inverse(inverse(X)),
    inference(symmetry,[status(thm)],[c517]) ).

cnf(c693,plain,
    multiply(X2,X) = multiply(inverse(inverse(X2)),X),
    inference(congruence,[status(thm)],[c692]) ).

cnf(c694,plain,
    multiply(inverse(X2),multiply(X2,X)) = multiply(inverse(X2),multiply(inverse(inverse(X2)),X)),
    inference(congruence,[status(thm)],[c693]) ).

cnf(c695,plain,
    multiply(X,multiply(inverse(X),X2)) = multiply(inverse(X3),multiply(inverse(inverse(X3)),X2)),
    inference(substitution,[status(thm)],[c164]) ).

cnf(c696,plain,
    multiply(inverse(X3),multiply(inverse(inverse(X3)),X2)) = multiply(X,multiply(inverse(X),X2)),
    inference(symmetry,[status(thm)],[c695]) ).

cnf(c697,plain,
    multiply(inverse(X3),multiply(X3,X2)) = multiply(X,multiply(inverse(X),X2)),
    inference(transitivity,[status(thm)],[c694,c696]) ).

cnf(c698,plain,
    multiply(inverse(X3),multiply(X3,multiply(multiply(inverse(X3),inverse(X2)),X2))) = multiply(X,multiply(inverse(X),multiply(multiply(inverse(X3),inverse(X2)),X2))),
    inference(substitution,[status(thm)],[c697]) ).

cnf(c699,plain,
    inverse(multiply(inverse(X3),multiply(X3,multiply(multiply(inverse(X3),inverse(X2)),X2)))) = inverse(multiply(X,multiply(inverse(X),multiply(multiply(inverse(X3),inverse(X2)),X2)))),
    inference(congruence,[status(thm)],[c698]) ).

cnf(c700,plain,
    multiply(X2,inverse(multiply(inverse(X3),multiply(X3,multiply(multiply(inverse(X3),inverse(X2)),X2))))) = multiply(X2,inverse(multiply(X,multiply(inverse(X),multiply(multiply(inverse(X3),inverse(X2)),X2))))),
    inference(congruence,[status(thm)],[c699]) ).

cnf(c701,plain,
    multiply(inverse(X),multiply(multiply(inverse(X3),inverse(X2)),X2)) = multiply(inverse(X),inverse(X3)),
    inference(congruence,[status(thm)],[c604]) ).

cnf(c702,plain,
    multiply(X,multiply(inverse(X),multiply(multiply(inverse(X3),inverse(X2)),X2))) = multiply(X,multiply(inverse(X),inverse(X3))),
    inference(congruence,[status(thm)],[c701]) ).

cnf(c703,plain,
    inverse(multiply(X,multiply(inverse(X),multiply(multiply(inverse(X3),inverse(X2)),X2)))) = inverse(multiply(X,multiply(inverse(X),inverse(X3)))),
    inference(congruence,[status(thm)],[c702]) ).

cnf(c704,plain,
    multiply(X2,inverse(multiply(X,multiply(inverse(X),multiply(multiply(inverse(X3),inverse(X2)),X2))))) = multiply(X2,inverse(multiply(X,multiply(inverse(X),inverse(X3))))),
    inference(congruence,[status(thm)],[c703]) ).

cnf(c705,plain,
    multiply(X,multiply(inverse(X),inverse(X2))) = inverse(X2),
    inference(substitution,[status(thm)],[c529]) ).

cnf(c706,plain,
    inverse(multiply(X,multiply(inverse(X),inverse(X2)))) = inverse(inverse(X2)),
    inference(congruence,[status(thm)],[c705]) ).

cnf(c707,plain,
    multiply(X2,inverse(multiply(X,multiply(inverse(X),inverse(X3))))) = multiply(X2,inverse(inverse(X3))),
    inference(congruence,[status(thm)],[c706]) ).

cnf(c708,plain,
    multiply(X,inverse(inverse(X2))) = multiply(X,X2),
    inference(congruence,[status(thm)],[c517]) ).

cnf(c709,plain,
    multiply(X2,inverse(multiply(X,multiply(inverse(X),inverse(X3))))) = multiply(X2,X3),
    inference(transitivity,[status(thm)],[c707,c708]) ).

cnf(c710,plain,
    multiply(X2,inverse(multiply(X,multiply(inverse(X),multiply(multiply(inverse(X3),inverse(X2)),X2))))) = multiply(X2,X3),
    inference(transitivity,[status(thm)],[c704,c709]) ).

cnf(c711,plain,
    multiply(X,inverse(multiply(inverse(X2),multiply(X2,multiply(multiply(inverse(X2),inverse(X)),X))))) = multiply(X,X2),
    inference(transitivity,[status(thm)],[c700,c710]) ).

cnf(c712,plain,
    multiply(X,inverse(multiply(inverse(X2),multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(multiply(inverse(X2),inverse(X))),inverse(X2)))),X))))) = multiply(X,X2),
    inference(transitivity,[status(thm)],[c691,c711]) ).

cnf(c713,plain,
    inverse(multiply(inverse(X2),inverse(X))) = multiply(X,X2),
    inference(transitivity,[status(thm)],[c659,c712]) ).

cnf(c714,plain,
    inverse(multiply(inverse(X),inverse(X2))) = multiply(X2,X),
    inference(substitution,[status(thm)],[c713]) ).

cnf(c715,plain,
    multiply(X2,X) = inverse(multiply(inverse(X),inverse(X2))),
    inference(symmetry,[status(thm)],[c714]) ).

cnf(c716,plain,
    inverse(multiply(X2,X)) = inverse(inverse(multiply(inverse(X),inverse(X2)))),
    inference(congruence,[status(thm)],[c715]) ).

cnf(c717,plain,
    inverse(inverse(multiply(inverse(X),inverse(X2)))) = multiply(inverse(X),inverse(X2)),
    inference(substitution,[status(thm)],[c517]) ).

cnf(c718,plain,
    inverse(multiply(X2,X)) = multiply(inverse(X),inverse(X2)),
    inference(transitivity,[status(thm)],[c716,c717]) ).

cnf(c719,plain,
    inverse(multiply(inverse(X),inverse(multiply(X3,X2)))) = multiply(inverse(inverse(multiply(X3,X2))),inverse(inverse(X))),
    inference(substitution,[status(thm)],[c718]) ).

cnf(c720,plain,
    multiply(inverse(X),inverse(multiply(inverse(X2),inverse(multiply(X4,X3))))) = multiply(inverse(X),multiply(inverse(inverse(multiply(X4,X3))),inverse(inverse(X2)))),
    inference(congruence,[status(thm)],[c719]) ).

cnf(c721,plain,
    multiply(multiply(inverse(X),inverse(multiply(inverse(X2),inverse(multiply(X4,X3))))),inverse(X2)) = multiply(multiply(inverse(X),multiply(inverse(inverse(multiply(X4,X3))),inverse(inverse(X2)))),inverse(X2)),
    inference(congruence,[status(thm)],[c720]) ).

cnf(c722,plain,
    multiply(X,multiply(multiply(inverse(X),inverse(multiply(inverse(X2),inverse(multiply(X4,X3))))),inverse(X2))) = multiply(X,multiply(multiply(inverse(X),multiply(inverse(inverse(multiply(X4,X3))),inverse(inverse(X2)))),inverse(X2))),
    inference(congruence,[status(thm)],[c721]) ).

cnf(c723,plain,
    multiply(inverse(multiply(X4,X3)),multiply(X,multiply(multiply(inverse(X),inverse(multiply(inverse(X2),inverse(multiply(X4,X3))))),inverse(X2)))) = multiply(inverse(multiply(X4,X3)),multiply(X,multiply(multiply(inverse(X),multiply(inverse(inverse(multiply(X4,X3))),inverse(inverse(X2)))),inverse(X2)))),
    inference(congruence,[status(thm)],[c722]) ).

cnf(c724,plain,
    multiply(multiply(X4,X3),multiply(inverse(multiply(X4,X3)),multiply(X,multiply(multiply(inverse(X),inverse(multiply(inverse(X2),inverse(multiply(X4,X3))))),inverse(X2))))) = multiply(multiply(X4,X3),multiply(inverse(multiply(X4,X3)),multiply(X,multiply(multiply(inverse(X),multiply(inverse(inverse(multiply(X4,X3))),inverse(inverse(X2)))),inverse(X2))))),
    inference(congruence,[status(thm)],[c723]) ).

cnf(c725,plain,
    inverse(multiply(X,X2)) = multiply(inverse(X2),inverse(X)),
    inference(substitution,[status(thm)],[c718]) ).

cnf(c726,plain,
    multiply(inverse(X2),inverse(X)) = inverse(multiply(X,X2)),
    inference(symmetry,[status(thm)],[c725]) ).

cnf(c727,plain,
    multiply(inverse(X3),multiply(inverse(X2),inverse(X))) = multiply(inverse(X3),inverse(multiply(X,X2))),
    inference(congruence,[status(thm)],[c726]) ).

cnf(c728,plain,
    multiply(multiply(inverse(X3),multiply(inverse(X2),inverse(X))),X) = multiply(multiply(inverse(X3),inverse(multiply(X,X2))),X),
    inference(congruence,[status(thm)],[c727]) ).

cnf(c729,plain,
    multiply(multiply(inverse(X3),inverse(multiply(X,X2))),X) = multiply(multiply(inverse(X3),inverse(multiply(inverse(X2),X2))),inverse(X2)),
    inference(substitution,[status(thm)],[c180]) ).

cnf(c730,plain,
    inverse(multiply(inverse(X2),X2)) = inverse(multiply(X,inverse(X))),
    inference(congruence,[status(thm)],[c415]) ).

cnf(c731,plain,
    multiply(inverse(X3),inverse(multiply(inverse(X2),X2))) = multiply(inverse(X3),inverse(multiply(X,inverse(X)))),
    inference(congruence,[status(thm)],[c730]) ).

cnf(c732,plain,
    multiply(multiply(inverse(X3),inverse(multiply(inverse(X2),X2))),inverse(X2)) = multiply(multiply(inverse(X3),inverse(multiply(X,inverse(X)))),inverse(X2)),
    inference(congruence,[status(thm)],[c731]) ).

cnf(c733,plain,
    multiply(multiply(inverse(X3),inverse(multiply(X,inverse(X)))),inverse(X2)) = multiply(inverse(X3),inverse(X2)),
    inference(congruence,[status(thm)],[c386]) ).

cnf(c734,plain,
    multiply(multiply(inverse(X2),inverse(multiply(inverse(X),X))),inverse(X)) = multiply(inverse(X2),inverse(X)),
    inference(transitivity,[status(thm)],[c732,c733]) ).

cnf(c735,plain,
    multiply(multiply(inverse(X3),inverse(multiply(X,X2))),X) = multiply(inverse(X3),inverse(X2)),
    inference(transitivity,[status(thm)],[c729,c734]) ).

cnf(c736,plain,
    multiply(multiply(inverse(X3),multiply(inverse(X2),inverse(X))),X) = multiply(inverse(X3),inverse(X2)),
    inference(transitivity,[status(thm)],[c728,c735]) ).

cnf(c737,plain,
    multiply(multiply(inverse(X),multiply(inverse(inverse(multiply(X4,X3))),inverse(inverse(X2)))),inverse(X2)) = multiply(inverse(X),inverse(inverse(multiply(X4,X3)))),
    inference(substitution,[status(thm)],[c736]) ).

cnf(c738,plain,
    multiply(X,multiply(multiply(inverse(X),multiply(inverse(inverse(multiply(X4,X3))),inverse(inverse(X2)))),inverse(X2))) = multiply(X,multiply(inverse(X),inverse(inverse(multiply(X4,X3))))),
    inference(congruence,[status(thm)],[c737]) ).

cnf(c739,plain,
    multiply(inverse(multiply(X4,X3)),multiply(X,multiply(multiply(inverse(X),multiply(inverse(inverse(multiply(X4,X3))),inverse(inverse(X2)))),inverse(X2)))) = multiply(inverse(multiply(X4,X3)),multiply(X,multiply(inverse(X),inverse(inverse(multiply(X4,X3)))))),
    inference(congruence,[status(thm)],[c738]) ).

cnf(c740,plain,
    multiply(multiply(X4,X3),multiply(inverse(multiply(X4,X3)),multiply(X,multiply(multiply(inverse(X),multiply(inverse(inverse(multiply(X4,X3))),inverse(inverse(X2)))),inverse(X2))))) = multiply(multiply(X4,X3),multiply(inverse(multiply(X4,X3)),multiply(X,multiply(inverse(X),inverse(inverse(multiply(X4,X3))))))),
    inference(congruence,[status(thm)],[c739]) ).

cnf(c741,plain,
    multiply(X,multiply(inverse(X),inverse(inverse(multiply(X3,X2))))) = inverse(inverse(multiply(X3,X2))),
    inference(substitution,[status(thm)],[c529]) ).

cnf(c742,plain,
    multiply(inverse(multiply(X3,X2)),multiply(X,multiply(inverse(X),inverse(inverse(multiply(X3,X2)))))) = multiply(inverse(multiply(X3,X2)),inverse(inverse(multiply(X3,X2)))),
    inference(congruence,[status(thm)],[c741]) ).

cnf(c743,plain,
    multiply(multiply(X3,X2),multiply(inverse(multiply(X3,X2)),multiply(X,multiply(inverse(X),inverse(inverse(multiply(X3,X2))))))) = multiply(multiply(X3,X2),multiply(inverse(multiply(X3,X2)),inverse(inverse(multiply(X3,X2))))),
    inference(congruence,[status(thm)],[c742]) ).

cnf(c744,plain,
    multiply(multiply(X2,X),multiply(inverse(multiply(X2,X)),inverse(inverse(multiply(X2,X))))) = multiply(X2,X),
    inference(substitution,[status(thm)],[c617]) ).

cnf(c745,plain,
    multiply(multiply(X3,X2),multiply(inverse(multiply(X3,X2)),multiply(X,multiply(inverse(X),inverse(inverse(multiply(X3,X2))))))) = multiply(X3,X2),
    inference(transitivity,[status(thm)],[c743,c744]) ).

cnf(c746,plain,
    multiply(multiply(X4,X3),multiply(inverse(multiply(X4,X3)),multiply(X,multiply(multiply(inverse(X),multiply(inverse(inverse(multiply(X4,X3))),inverse(inverse(X2)))),inverse(X2))))) = multiply(X4,X3),
    inference(transitivity,[status(thm)],[c740,c745]) ).

cnf(c747,plain,
    multiply(multiply(X4,X3),multiply(inverse(multiply(X4,X3)),multiply(X,multiply(multiply(inverse(X),inverse(multiply(inverse(X2),inverse(multiply(X4,X3))))),inverse(X2))))) = multiply(X4,X3),
    inference(transitivity,[status(thm)],[c724,c746]) ).

cnf(c748,plain,
    multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(inverse(X2),multiply(X,multiply(inverse(X),inverse(multiply(X5,X4))))))),inverse(X2))) = multiply(X5,X4),
    inference(transitivity,[status(thm)],[c657,c747]) ).

cnf(c749,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(X),multiply(inverse(X3),inverse(X4))))),inverse(X))) = multiply(X4,X3),
    inference(transitivity,[status(thm)],[c656,c748]) ).

cnf(c750,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X,multiply(inverse(X),inverse(X2))))),X)) = multiply(X2,X),
    inference(transitivity,[status(thm)],[c536,c749]) ).

cnf(c751,plain,
    multiply(X2,multiply(multiply(inverse(X2),inverse(inverse(X2))),X)) = multiply(X2,X),
    inference(transitivity,[status(thm)],[c535,c750]) ).

cnf(c752,plain,
    multiply(X3,multiply(multiply(X2,inverse(X2)),X)) = multiply(X3,X),
    inference(transitivity,[status(thm)],[c422,c751]) ).

cnf(c753,plain,
    multiply(X,multiply(multiply(X3,inverse(X3)),X2)) = multiply(X,X2),
    inference(substitution,[status(thm)],[c752]) ).

cnf(c754,plain,
    inverse(multiply(X,multiply(multiply(X3,inverse(X3)),X2))) = inverse(multiply(X,X2)),
    inference(congruence,[status(thm)],[c753]) ).

cnf(c755,plain,
    multiply(inverse(X2),inverse(multiply(X,multiply(multiply(X4,inverse(X4)),X3)))) = multiply(inverse(X2),inverse(multiply(X,X3))),
    inference(congruence,[status(thm)],[c754]) ).

cnf(c756,plain,
    multiply(multiply(inverse(X3),inverse(multiply(X2,multiply(multiply(X5,inverse(X5)),X4)))),inverse(X)) = multiply(multiply(inverse(X3),inverse(multiply(X2,X4))),inverse(X)),
    inference(congruence,[status(thm)],[c755]) ).

cnf(c757,plain,
    multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X2,multiply(multiply(X5,inverse(X5)),X4)))),inverse(X))) = multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X2,X4))),inverse(X))),
    inference(congruence,[status(thm)],[c756]) ).

cnf(c758,plain,
    multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X2,multiply(multiply(X6,inverse(X6)),X5)))),inverse(X))),multiply(X,multiply(X2,X4))) = multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X2,X5))),inverse(X))),multiply(X,multiply(X2,X4))),
    inference(congruence,[status(thm)],[c757]) ).

cnf(c759,plain,
    inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X2,multiply(multiply(X6,inverse(X6)),X5)))),inverse(X))),multiply(X,multiply(X2,X4)))) = inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X2,X5))),inverse(X))),multiply(X,multiply(X2,X4)))),
    inference(congruence,[status(thm)],[c758]) ).

cnf(c760,plain,
    multiply(X4,inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X2,multiply(multiply(X6,inverse(X6)),X5)))),inverse(X))),multiply(X,multiply(X2,X4))))) = multiply(X4,inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X2,X5))),inverse(X))),multiply(X,multiply(X2,X4))))),
    inference(congruence,[status(thm)],[c759]) ).

cnf(c761,plain,
    multiply(X5,inverse(multiply(multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X3,X6))),inverse(X2))),multiply(X2,multiply(X3,X5))))) = multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(X4),inverse(multiply(X3,X6))),X3))),inverse(X4))),
    inference(substitution,[status(thm)],[c22]) ).

cnf(c762,plain,
    multiply(X,multiply(multiply(inverse(X),inverse(multiply(multiply(inverse(X3),inverse(multiply(X2,X4))),X2))),inverse(X3))) = X4,
    inference(substitution,[status(thm)],[c26]) ).

cnf(c763,plain,
    multiply(X4,inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X2,X5))),inverse(X))),multiply(X,multiply(X2,X4))))) = X5,
    inference(transitivity,[status(thm)],[c761,c762]) ).

cnf(c764,plain,
    multiply(X4,inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X2,multiply(multiply(X6,inverse(X6)),X5)))),inverse(X))),multiply(X,multiply(X2,X4))))) = X5,
    inference(transitivity,[status(thm)],[c760,c763]) ).

cnf(c765,plain,
    multiply(multiply(X2,inverse(X2)),X) = X,
    inference(transitivity,[status(thm)],[c419,c764]) ).

cnf(c766,plain,
    multiply(multiply(X,inverse(X)),a2) = a2,
    inference(substitution,[status(thm)],[c765]) ).

cnf(c767,plain,
    multiply(multiply(inverse(b2),b2),a2) = a2,
    inference(transitivity,[status(thm)],[c417,c766]) ).

cnf(c768,plain,
    $false,
    inference(resolution,[status(thm)],[c1,c767]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GRP437-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04  % Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.36  % Computer : n005.cluster.edu
% 0.07/0.36  % Model    : x86_64 x86_64
% 0.07/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.36  % Memory   : 8046.5625MB
% 0.07/0.36  % OS       : Linux 6.8.0-71-generic
% 0.07/0.36  % CPULimit : 300
% 0.07/0.36  % WCLimit  : 300
% 0.07/0.36  % DateTime : Sun Sep 27 10:04:16 UTC 2026
% 0.07/0.37  % CPUTime  : 
% 0.07/0.37  Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.58/0.65  Command-line arguments: --no-flatten-goal
% 1.58/0.65  
% 1.58/0.65  % SZS status Unsatisfiable
% 1.58/0.65  
% 2.08/0.79  % SZS output start CNFRefutation
% See solution above
% 9.88/1.74  
% 9.88/1.74  RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------