Twee---2.7.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : GRP436-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 10:10:22 AM UTC 2026

% Result   : Unsatisfiable 0.16s 0.87s
% Output   : CNFRefutation 5.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  123
%            Number of leaves      :    2
% Syntax   : Number of clauses     :  420 ( 420 unt;   0 nHn;   3 RR)
%            Number of literals    :  420 ( 419 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   : 1974 (   0 sgn)

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

cnf(c2,axiom,
    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(a1),a1) = multiply(X,inverse(X)),
    inference(substitution,[status(thm)],[c415]) ).

cnf(c417,plain,
    multiply(inverse(b1),b1) = multiply(X,inverse(X)),
    inference(substitution,[status(thm)],[c415]) ).

cnf(c418,plain,
    multiply(X,inverse(X)) = multiply(inverse(b1),b1),
    inference(symmetry,[status(thm)],[c417]) ).

cnf(c419,plain,
    multiply(inverse(a1),a1) = multiply(inverse(b1),b1),
    inference(transitivity,[status(thm)],[c416,c418]) ).

cnf(c420,plain,
    $false,
    inference(resolution,[status(thm)],[c1,c419]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP436-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04  % Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.54  % Computer : n017.cluster.edu
% 0.09/0.54  % Model    : x86_64 x86_64
% 0.09/0.54  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.54  % Memory   : 8046.5625MB
% 0.09/0.54  % OS       : Linux 6.8.0-71-generic
% 0.09/0.54  % CPULimit : 300
% 0.09/0.54  % WCLimit  : 300
% 0.09/0.54  % DateTime : Sun Sep 27 10:00:05 UTC 2026
% 0.09/0.54  % CPUTime  : 
% 0.09/0.54  Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.87  Command-line arguments: --no-flatten-goal
% 0.16/0.87  
% 0.16/0.87  % SZS status Unsatisfiable
% 0.16/0.87  
% 0.16/0.96  % SZS output start CNFRefutation
% See solution above
% 5.60/1.33  
% 5.60/1.33  RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------