Twee---2.7.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : GRP413-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n026.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 10:09:58 AM UTC 2026

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : CNFRefutation 2.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   93
%            Number of leaves      :    2
% Syntax   : Number of clauses     :  292 ( 292 unt;   0 nHn;   3 RR)
%            Number of literals    :  292 ( 291 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   18 (   4 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   : 1244 (   0 sgn)

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

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

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

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

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

cnf(c6,plain,
    multiply(X,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(X,inverse(X3))),inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(multiply(X,inverse(X3))),inverse(X4))),X2))),X4))))),X3))) = inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(multiply(X,inverse(X3))),inverse(X4))),X2))),X4)),
    inference(substitution,[status(thm)],[c2]) ).

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

cnf(c8,plain,
    multiply(inverse(multiply(X3,inverse(X2))),inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),inverse(X4))),X))),X4))) = X,
    inference(substitution,[status(thm)],[c2]) ).

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

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

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

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

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

cnf(c14,plain,
    inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),inverse(X4))),X))),X4)) = multiply(X3,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X)),X2))),
    inference(transitivity,[status(thm)],[c7,c13]) ).

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

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

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

cnf(c18,plain,
    inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),inverse(X))),X2))),X)) = multiply(X4,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(X2)),X3))),
    inference(substitution,[status(thm)],[c14]) ).

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

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

cnf(c21,plain,
    multiply(inverse(multiply(X4,inverse(X3))),inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),inverse(X))),X2))),X))) = X2,
    inference(substitution,[status(thm)],[c2]) ).

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

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

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

cnf(c25,plain,
    inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),inverse(X4))),multiply(inverse(multiply(X3,inverse(X2))),X)))),X4)) = multiply(X3,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X3,inverse(X2))),X))),X2))),
    inference(substitution,[status(thm)],[c14]) ).

cnf(c26,plain,
    multiply(X3,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X3,inverse(X2))),X))),X2))) = X,
    inference(substitution,[status(thm)],[c2]) ).

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

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

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

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

cnf(c31,plain,
    multiply(inverse(multiply(inverse(multiply(X5,inverse(X4))),inverse(X3))),multiply(inverse(multiply(X5,inverse(X4))),X2)) = multiply(inverse(multiply(X,inverse(X3))),multiply(X,X2)),
    inference(transitivity,[status(thm)],[c24,c30]) ).

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

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

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

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

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

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

cnf(c38,plain,
    inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X4))),multiply(inverse(multiply(X2,inverse(X))),X3)))),X4)) = multiply(X2,inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(X2,inverse(X))),X3))),X))),
    inference(substitution,[status(thm)],[c14]) ).

cnf(c39,plain,
    multiply(X2,inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(X2,inverse(X))),X3))),X))) = X3,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c40,plain,
    inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X4))),multiply(inverse(multiply(X2,inverse(X))),X3)))),X4)) = X3,
    inference(transitivity,[status(thm)],[c38,c39]) ).

cnf(c41,plain,
    inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,X)))),X3)) = X,
    inference(transitivity,[status(thm)],[c37,c40]) ).

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

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

cnf(c44,plain,
    multiply(X5,multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(multiply(multiply(multiply(inverse(X3),X3),X5),X3))))) = multiply(inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X,inverse(X2))),multiply(X,X5)))),X2)),multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(multiply(multiply(multiply(inverse(X3),X3),X5),X3))))),
    inference(congruence,[status(thm)],[c43]) ).

cnf(c45,plain,
    inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X4))),multiply(inverse(multiply(X2,inverse(X))),X3)))),X4)) = X3,
    inference(substitution,[status(thm)],[c27]) ).

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

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

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

cnf(c49,plain,
    multiply(inverse(multiply(X3,inverse(X5))),multiply(X3,inverse(multiply(multiply(multiply(inverse(X5),X5),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X5))),multiply(inverse(multiply(X2,inverse(X))),X4)))),X5)))) = multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X5))),multiply(inverse(multiply(X2,inverse(X))),X4)),
    inference(substitution,[status(thm)],[c22]) ).

cnf(c50,plain,
    multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X4))),multiply(inverse(multiply(X2,inverse(X))),X3)))),X4)))) = multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X4))),multiply(inverse(multiply(X2,inverse(X))),X3)),
    inference(substitution,[status(thm)],[c22]) ).

cnf(c51,plain,
    multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X4))),multiply(inverse(multiply(X2,inverse(X))),X3)) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X4))),multiply(inverse(multiply(X2,inverse(X))),X3)))),X4)))),
    inference(symmetry,[status(thm)],[c50]) ).

cnf(c52,plain,
    inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X4))),multiply(inverse(multiply(X2,inverse(X))),X3)))),X4)) = X3,
    inference(substitution,[status(thm)],[c27]) ).

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

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

cnf(c55,plain,
    multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X4))),multiply(inverse(multiply(X2,inverse(X))),X3)) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,X3)),
    inference(transitivity,[status(thm)],[c51,c54]) ).

cnf(c56,plain,
    multiply(inverse(multiply(X3,inverse(X5))),multiply(X3,inverse(multiply(multiply(multiply(inverse(X5),X5),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X5))),multiply(inverse(multiply(X2,inverse(X))),X4)))),X5)))) = multiply(inverse(multiply(X6,inverse(X5))),multiply(X6,X4)),
    inference(transitivity,[status(thm)],[c49,c55]) ).

cnf(c57,plain,
    multiply(inverse(multiply(X,inverse(X3))),multiply(X,X2)) = multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,X2)),
    inference(transitivity,[status(thm)],[c48,c56]) ).

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

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

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

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

cnf(c62,plain,
    multiply(inverse(multiply(X,inverse(X3))),multiply(X,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(multiply(inverse(X3),X3),inverse(X4))),X2))),X4))),X3)))) = multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(multiply(inverse(X3),X3),inverse(X4))),X2))),X4),
    inference(substitution,[status(thm)],[c22]) ).

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

cnf(c64,plain,
    multiply(multiply(inverse(X2),X2),inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(multiply(inverse(X2),X2),inverse(X3))),X))),X3))) = X,
    inference(substitution,[status(thm)],[c2]) ).

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

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

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

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

cnf(c69,plain,
    multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(multiply(inverse(X3),X3),inverse(X4))),X2))),X4) = multiply(inverse(multiply(X,inverse(X3))),multiply(X,inverse(multiply(X2,X3)))),
    inference(transitivity,[status(thm)],[c63,c68]) ).

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

cnf(c71,plain,
    multiply(multiply(multiply(inverse(X5),X5),inverse(multiply(inverse(multiply(X4,inverse(X5))),multiply(X4,X3)))),X5) = multiply(inverse(multiply(X2,inverse(X))),multiply(X2,inverse(multiply(multiply(multiply(inverse(X),X),X3),X)))),
    inference(transitivity,[status(thm)],[c61,c70]) ).

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

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

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

cnf(c75,plain,
    multiply(inverse(multiply(X5,X4)),inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),inverse(X))),multiply(inverse(multiply(X2,X4)),multiply(X2,X3))))),X))) = multiply(inverse(multiply(X2,X4)),multiply(X2,X3)),
    inference(substitution,[status(thm)],[c2]) ).

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

cnf(c77,plain,
    multiply(X3,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X)),X2))) = inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),inverse(X4))),X))),X4)),
    inference(symmetry,[status(thm)],[c14]) ).

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

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

cnf(c80,plain,
    multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),inverse(X4))),X))),X4)))) = multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),inverse(X4))),X),
    inference(substitution,[status(thm)],[c22]) ).

cnf(c81,plain,
    multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,multiply(X3,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X)),X2))))) = multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),inverse(X4))),X),
    inference(transitivity,[status(thm)],[c79,c80]) ).

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

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

cnf(c84,plain,
    inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X3))),multiply(inverse(multiply(X2,inverse(X))),X4)))),X3)) = X4,
    inference(substitution,[status(thm)],[c27]) ).

cnf(c85,plain,
    X4 = inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X3))),multiply(inverse(multiply(X2,inverse(X))),X4)))),X3)),
    inference(symmetry,[status(thm)],[c84]) ).

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

cnf(c87,plain,
    inverse(multiply(X5,inverse(X4))) = inverse(multiply(inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X3))),multiply(inverse(multiply(X2,inverse(X))),X5)))),X3)),inverse(X4))),
    inference(congruence,[status(thm)],[c86]) ).

cnf(c88,plain,
    multiply(inverse(multiply(X6,inverse(X4))),X5) = multiply(inverse(multiply(inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X3))),multiply(inverse(multiply(X2,inverse(X))),X6)))),X3)),inverse(X4))),X5),
    inference(congruence,[status(thm)],[c87]) ).

cnf(c89,plain,
    inverse(multiply(inverse(multiply(X6,inverse(X4))),X5)) = inverse(multiply(inverse(multiply(inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X3))),multiply(inverse(multiply(X2,inverse(X))),X6)))),X3)),inverse(X4))),X5)),
    inference(congruence,[status(thm)],[c88]) ).

cnf(c90,plain,
    multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(X6,inverse(X4))),X5))) = multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X3))),multiply(inverse(multiply(X2,inverse(X))),X6)))),X3)),inverse(X4))),X5))),
    inference(congruence,[status(thm)],[c89]) ).

cnf(c91,plain,
    multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(X6,inverse(X4))),X5))),X4) = multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X3))),multiply(inverse(multiply(X2,inverse(X))),X6)))),X3)),inverse(X4))),X5))),X4),
    inference(congruence,[status(thm)],[c90]) ).

cnf(c92,plain,
    multiply(inverse(multiply(X2,inverse(X))),multiply(X2,inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(X5),inverse(X3))),X4))),X3))),X)))) = multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(X5),inverse(X3))),X4))),X3),
    inference(substitution,[status(thm)],[c22]) ).

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

cnf(c94,plain,
    multiply(X2,inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(X2,inverse(X))),X3))),X))) = X3,
    inference(substitution,[status(thm)],[c2]) ).

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

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

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

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

cnf(c99,plain,
    multiply(inverse(multiply(inverse(X5),inverse(X3))),X4) = multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(X2,inverse(X))),X5))),X)))),inverse(X3))),X4),
    inference(congruence,[status(thm)],[c98]) ).

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

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

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

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

cnf(c104,plain,
    multiply(X4,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(X4,inverse(X3))),inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),inverse(X))),X2))),X))))),X3))) = inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),inverse(X))),X2))),X)),
    inference(substitution,[status(thm)],[c2]) ).

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

cnf(c106,plain,
    multiply(inverse(multiply(X4,inverse(X3))),inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),inverse(X))),X2))),X))) = X2,
    inference(substitution,[status(thm)],[c2]) ).

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

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

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

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

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

cnf(c112,plain,
    multiply(inverse(multiply(X3,inverse(X2))),inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),inverse(X4))),X))),X4))) = X,
    inference(substitution,[status(thm)],[c2]) ).

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

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

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

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

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

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

cnf(c119,plain,
    multiply(X3,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X3,inverse(X2))),inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),inverse(X4))),X))),X4))))),X2))) = inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),inverse(X4))),X))),X4)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c120,plain,
    multiply(X3,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X)),X2))) = inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),inverse(X4))),X))),X4)),
    inference(transitivity,[status(thm)],[c118,c119]) ).

cnf(c121,plain,
    multiply(X4,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(X4,inverse(X3))),inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),inverse(X))),X2))),X))))),X3))) = inverse(multiply(multiply(multiply(inverse(X5),X5),inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),inverse(X5))),X2))),X5)),
    inference(transitivity,[status(thm)],[c111,c120]) ).

cnf(c122,plain,
    inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),inverse(X))),X2))),X)) = inverse(multiply(multiply(multiply(inverse(X5),X5),inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),inverse(X5))),X2))),X5)),
    inference(transitivity,[status(thm)],[c105,c121]) ).

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

cnf(c124,plain,
    multiply(X2,inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(X2,inverse(X))),X3))),X))) = X3,
    inference(substitution,[status(thm)],[c2]) ).

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

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

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

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

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

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

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

cnf(c132,plain,
    inverse(multiply(multiply(multiply(inverse(X5),X5),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(X2,inverse(X))),X4))),X)))),inverse(X5))),X3))),X5)) = inverse(multiply(multiply(multiply(inverse(X5),X5),inverse(multiply(inverse(multiply(inverse(X4),inverse(X5))),X3))),X5)),
    inference(congruence,[status(thm)],[c131]) ).

cnf(c133,plain,
    inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(X2,inverse(X))),X5))),X)))),inverse(X3))),X4))),X3)) = inverse(multiply(multiply(multiply(inverse(X6),X6),inverse(multiply(inverse(multiply(inverse(X5),inverse(X6))),X4))),X6)),
    inference(transitivity,[status(thm)],[c123,c132]) ).

cnf(c134,plain,
    inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(inverse(X3),inverse(X))),X2))),X)) = inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(X3),inverse(X4))),X2))),X4)),
    inference(transitivity,[status(thm)],[c103,c133]) ).

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

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

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

cnf(c138,plain,
    multiply(X2,inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(X5),inverse(X3))),X4))),X3))),X))) = multiply(X2,inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(multiply(multiply(inverse(X6),X6),inverse(multiply(inverse(multiply(inverse(X5),inverse(X6))),X4))),X6))),X))),
    inference(congruence,[status(thm)],[c137]) ).

cnf(c139,plain,
    multiply(inverse(multiply(X2,inverse(X))),multiply(X2,inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(X5),inverse(X3))),X4))),X3))),X)))) = multiply(inverse(multiply(X2,inverse(X))),multiply(X2,inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(multiply(multiply(inverse(X6),X6),inverse(multiply(inverse(multiply(inverse(X5),inverse(X6))),X4))),X6))),X)))),
    inference(congruence,[status(thm)],[c138]) ).

cnf(c140,plain,
    multiply(inverse(multiply(X2,inverse(X))),multiply(X2,inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(multiply(multiply(inverse(X5),X5),inverse(multiply(inverse(multiply(inverse(X4),inverse(X5))),X3))),X5))),X)))) = multiply(multiply(multiply(inverse(X5),X5),inverse(multiply(inverse(multiply(inverse(X4),inverse(X5))),X3))),X5),
    inference(substitution,[status(thm)],[c22]) ).

cnf(c141,plain,
    multiply(inverse(multiply(X2,inverse(X))),multiply(X2,inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(X5),inverse(X3))),X4))),X3))),X)))) = multiply(multiply(multiply(inverse(X6),X6),inverse(multiply(inverse(multiply(inverse(X5),inverse(X6))),X4))),X6),
    inference(transitivity,[status(thm)],[c139,c140]) ).

cnf(c142,plain,
    multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(inverse(X3),inverse(X))),X2))),X) = multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(X3),inverse(X4))),X2))),X4),
    inference(transitivity,[status(thm)],[c93,c141]) ).

cnf(c143,plain,
    multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X3))),multiply(inverse(multiply(X2,inverse(X))),X6)))),X3)),inverse(X4))),X5))),X4) = multiply(multiply(multiply(inverse(X7),X7),inverse(multiply(inverse(multiply(inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X3))),multiply(inverse(multiply(X2,inverse(X))),X6)))),X3)),inverse(X7))),X5))),X7),
    inference(substitution,[status(thm)],[c142]) ).

cnf(c144,plain,
    inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X3))),multiply(inverse(multiply(X2,inverse(X))),X4)))),X3)) = X4,
    inference(substitution,[status(thm)],[c27]) ).

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

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

cnf(c147,plain,
    multiply(inverse(multiply(inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X3))),multiply(inverse(multiply(X2,inverse(X))),X5)))),X3)),inverse(X6))),X4) = multiply(inverse(multiply(X5,inverse(X6))),X4),
    inference(congruence,[status(thm)],[c146]) ).

cnf(c148,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X3))),multiply(inverse(multiply(X2,inverse(X))),X5)))),X3)),inverse(X6))),X4)) = inverse(multiply(inverse(multiply(X5,inverse(X6))),X4)),
    inference(congruence,[status(thm)],[c147]) ).

cnf(c149,plain,
    multiply(multiply(inverse(X6),X6),inverse(multiply(inverse(multiply(inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X3))),multiply(inverse(multiply(X2,inverse(X))),X5)))),X3)),inverse(X6))),X4))) = multiply(multiply(inverse(X6),X6),inverse(multiply(inverse(multiply(X5,inverse(X6))),X4))),
    inference(congruence,[status(thm)],[c148]) ).

cnf(c150,plain,
    multiply(multiply(multiply(inverse(X6),X6),inverse(multiply(inverse(multiply(inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X3))),multiply(inverse(multiply(X2,inverse(X))),X5)))),X3)),inverse(X6))),X4))),X6) = multiply(multiply(multiply(inverse(X6),X6),inverse(multiply(inverse(multiply(X5,inverse(X6))),X4))),X6),
    inference(congruence,[status(thm)],[c149]) ).

cnf(c151,plain,
    multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X3))),multiply(inverse(multiply(X2,inverse(X))),X6)))),X3)),inverse(X4))),X5))),X4) = multiply(multiply(multiply(inverse(X7),X7),inverse(multiply(inverse(multiply(X6,inverse(X7))),X5))),X7),
    inference(transitivity,[status(thm)],[c143,c150]) ).

cnf(c152,plain,
    multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(X3,inverse(X))),X2))),X) = multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(X3,inverse(X4))),X2))),X4),
    inference(transitivity,[status(thm)],[c91,c151]) ).

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

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

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

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

cnf(c157,plain,
    multiply(inverse(multiply(X,inverse(X4))),multiply(X,multiply(X6,inverse(multiply(multiply(multiply(inverse(X5),X5),inverse(multiply(inverse(multiply(X3,inverse(X5))),X2))),X5))))) = multiply(inverse(multiply(inverse(multiply(X6,inverse(X5))),inverse(X4))),multiply(inverse(multiply(X3,inverse(X5))),X2)),
    inference(substitution,[status(thm)],[c81]) ).

cnf(c158,plain,
    multiply(inverse(multiply(X,inverse(X5))),multiply(X,multiply(X7,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X4,inverse(X2))),X3))),X2))))) = multiply(inverse(multiply(inverse(multiply(X7,inverse(X6))),inverse(X5))),multiply(inverse(multiply(X4,inverse(X6))),X3)),
    inference(transitivity,[status(thm)],[c156,c157]) ).

cnf(c159,plain,
    multiply(inverse(multiply(inverse(multiply(X6,inverse(X))),inverse(X4))),multiply(inverse(multiply(X3,inverse(X))),X2)) = multiply(inverse(multiply(inverse(multiply(X6,inverse(X5))),inverse(X4))),multiply(inverse(multiply(X3,inverse(X5))),X2)),
    inference(transitivity,[status(thm)],[c83,c158]) ).

cnf(c160,plain,
    multiply(inverse(multiply(inverse(multiply(X9,inverse(X8))),inverse(X7))),multiply(inverse(multiply(X6,inverse(X8))),X5)) = multiply(inverse(multiply(inverse(multiply(X9,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X3))),multiply(inverse(multiply(X2,inverse(X))),X4)))),X3)))),inverse(X7))),multiply(inverse(multiply(X6,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X3))),multiply(inverse(multiply(X2,inverse(X))),X4)))),X3)))),X5)),
    inference(substitution,[status(thm)],[c159]) ).

cnf(c161,plain,
    inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X3))),multiply(inverse(multiply(X2,inverse(X))),X4)))),X3)) = X4,
    inference(substitution,[status(thm)],[c27]) ).

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

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

cnf(c164,plain,
    multiply(inverse(multiply(X6,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X3))),multiply(inverse(multiply(X2,inverse(X))),X4)))),X3)))),inverse(X5)) = multiply(inverse(multiply(X6,X4)),inverse(X5)),
    inference(congruence,[status(thm)],[c163]) ).

cnf(c165,plain,
    inverse(multiply(inverse(multiply(X6,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X3))),multiply(inverse(multiply(X2,inverse(X))),X4)))),X3)))),inverse(X5))) = inverse(multiply(inverse(multiply(X6,X4)),inverse(X5))),
    inference(congruence,[status(thm)],[c164]) ).

cnf(c166,plain,
    multiply(inverse(multiply(inverse(multiply(X8,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X3))),multiply(inverse(multiply(X2,inverse(X))),X4)))),X3)))),inverse(X7))),multiply(inverse(multiply(X6,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X3))),multiply(inverse(multiply(X2,inverse(X))),X4)))),X3)))),X5)) = multiply(inverse(multiply(inverse(multiply(X8,X4)),inverse(X7))),multiply(inverse(multiply(X6,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X3))),multiply(inverse(multiply(X2,inverse(X))),X4)))),X3)))),X5)),
    inference(congruence,[status(thm)],[c165]) ).

cnf(c167,plain,
    inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X3))),multiply(inverse(multiply(X2,inverse(X))),X4)))),X3)) = X4,
    inference(substitution,[status(thm)],[c27]) ).

cnf(c168,plain,
    multiply(X5,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X3))),multiply(inverse(multiply(X2,inverse(X))),X4)))),X3))) = multiply(X5,X4),
    inference(congruence,[status(thm)],[c167]) ).

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

cnf(c170,plain,
    multiply(inverse(multiply(X6,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X3))),multiply(inverse(multiply(X2,inverse(X))),X4)))),X3)))),X5) = multiply(inverse(multiply(X6,X4)),X5),
    inference(congruence,[status(thm)],[c169]) ).

cnf(c171,plain,
    multiply(inverse(multiply(inverse(multiply(X8,X4)),inverse(X7))),multiply(inverse(multiply(X6,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X3))),multiply(inverse(multiply(X2,inverse(X))),X4)))),X3)))),X5)) = multiply(inverse(multiply(inverse(multiply(X8,X4)),inverse(X7))),multiply(inverse(multiply(X6,X4)),X5)),
    inference(congruence,[status(thm)],[c170]) ).

cnf(c172,plain,
    multiply(inverse(multiply(inverse(multiply(X8,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X3))),multiply(inverse(multiply(X2,inverse(X))),X4)))),X3)))),inverse(X7))),multiply(inverse(multiply(X6,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X))),inverse(X3))),multiply(inverse(multiply(X2,inverse(X))),X4)))),X3)))),X5)) = multiply(inverse(multiply(inverse(multiply(X8,X4)),inverse(X7))),multiply(inverse(multiply(X6,X4)),X5)),
    inference(transitivity,[status(thm)],[c166,c171]) ).

cnf(c173,plain,
    multiply(inverse(multiply(inverse(multiply(X6,inverse(X5))),inverse(X4))),multiply(inverse(multiply(X3,inverse(X5))),X2)) = multiply(inverse(multiply(inverse(multiply(X6,X)),inverse(X4))),multiply(inverse(multiply(X3,X)),X2)),
    inference(transitivity,[status(thm)],[c160,c172]) ).

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

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

cnf(c176,plain,
    multiply(inverse(multiply(X,inverse(X2))),multiply(X,X3)) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X3)),
    inference(substitution,[status(thm)],[c57]) ).

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

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

cnf(c179,plain,
    multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,X)) = multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,X)),
    inference(substitution,[status(thm)],[c57]) ).

cnf(c180,plain,
    multiply(inverse(multiply(inverse(multiply(X5,inverse(X4))),inverse(X3))),multiply(inverse(multiply(X2,inverse(X4))),multiply(X2,X))) = multiply(inverse(multiply(inverse(multiply(X5,inverse(X4))),inverse(X3))),multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,X))),
    inference(congruence,[status(thm)],[c179]) ).

cnf(c181,plain,
    multiply(inverse(multiply(inverse(multiply(X5,inverse(X4))),inverse(X3))),multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,X2))) = multiply(inverse(multiply(X,inverse(X3))),multiply(X,multiply(X5,X2))),
    inference(substitution,[status(thm)],[c31]) ).

cnf(c182,plain,
    multiply(inverse(multiply(inverse(multiply(X6,inverse(X5))),inverse(X4))),multiply(inverse(multiply(X3,inverse(X5))),multiply(X3,X2))) = multiply(inverse(multiply(X,inverse(X4))),multiply(X,multiply(X6,X2))),
    inference(transitivity,[status(thm)],[c180,c181]) ).

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

cnf(c184,plain,
    multiply(inverse(multiply(inverse(multiply(X6,inverse(X))),inverse(X5))),multiply(inverse(multiply(X4,inverse(X))),multiply(X4,X3))) = multiply(inverse(multiply(X2,inverse(X5))),multiply(X2,multiply(X6,X3))),
    inference(transitivity,[status(thm)],[c178,c183]) ).

cnf(c185,plain,
    multiply(inverse(multiply(inverse(multiply(X6,X5)),inverse(X4))),multiply(inverse(multiply(X3,X5)),multiply(X3,X2))) = multiply(inverse(multiply(X,inverse(X4))),multiply(X,multiply(X6,X2))),
    inference(transitivity,[status(thm)],[c175,c184]) ).

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

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

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

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

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

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

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

cnf(c193,plain,
    multiply(inverse(multiply(X5,X4)),inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),inverse(X))),multiply(inverse(multiply(X2,X4)),multiply(X2,X3))))),X))) = multiply(inverse(multiply(X5,X4)),multiply(X5,X3)),
    inference(transitivity,[status(thm)],[c191,c192]) ).

cnf(c194,plain,
    multiply(inverse(multiply(X,X3)),multiply(X,X2)) = multiply(inverse(multiply(X4,X3)),multiply(X4,X2)),
    inference(transitivity,[status(thm)],[c76,c193]) ).

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

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

cnf(c197,plain,
    multiply(inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X,inverse(X2))),multiply(X,X6)))),X2)),multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(multiply(multiply(multiply(inverse(X4),X4),X6),X4))))) = multiply(inverse(multiply(X3,X2)),multiply(X3,X2)),
    inference(transitivity,[status(thm)],[c74,c196]) ).

cnf(c198,plain,
    multiply(X5,multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(multiply(multiply(multiply(inverse(X3),X3),X5),X3))))) = multiply(inverse(multiply(X2,X)),multiply(X2,X)),
    inference(transitivity,[status(thm)],[c44,c197]) ).

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

cnf(c200,plain,
    multiply(inverse(X5),multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(X5)),X3))))) = multiply(inverse(multiply(X2,X)),multiply(X2,X)),
    inference(substitution,[status(thm)],[c198]) ).

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

cnf(c202,plain,
    inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),inverse(X))),X4))),X)) = multiply(X3,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X4)),X2))),
    inference(substitution,[status(thm)],[c14]) ).

cnf(c203,plain,
    multiply(X3,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X4)),X2))) = inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),inverse(X))),X4))),X)),
    inference(symmetry,[status(thm)],[c202]) ).

cnf(c204,plain,
    multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X4)),X2)))) = multiply(inverse(multiply(X3,inverse(X2))),inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),inverse(X))),X4))),X))),
    inference(congruence,[status(thm)],[c203]) ).

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

cnf(c206,plain,
    multiply(inverse(multiply(X3,inverse(X2))),inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),inverse(X))),X4))),X))) = X4,
    inference(substitution,[status(thm)],[c2]) ).

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

cnf(c208,plain,
    multiply(inverse(X3),multiply(inverse(multiply(X2,inverse(X))),multiply(X2,inverse(multiply(multiply(multiply(inverse(X),X),inverse(X3)),X))))) = multiply(inverse(X3),X3),
    inference(transitivity,[status(thm)],[c205,c207]) ).

cnf(c209,plain,
    multiply(inverse(multiply(X2,X)),multiply(X2,X)) = multiply(inverse(X3),X3),
    inference(transitivity,[status(thm)],[c201,c208]) ).

cnf(c210,plain,
    multiply(inverse(X3),multiply(inverse(multiply(X2,inverse(X))),multiply(X2,inverse(multiply(multiply(multiply(inverse(X),X),inverse(X3)),X))))) = multiply(inverse(X4),X4),
    inference(transitivity,[status(thm)],[c199,c209]) ).

cnf(c211,plain,
    multiply(inverse(X4),multiply(inverse(multiply(X3,inverse(X2))),inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),inverse(X))),X4))),X)))) = multiply(inverse(X5),X5),
    inference(transitivity,[status(thm)],[c17,c210]) ).

cnf(c212,plain,
    multiply(inverse(X),X) = multiply(inverse(X2),X2),
    inference(transitivity,[status(thm)],[c5,c211]) ).

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

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

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

cnf(c216,plain,
    multiply(inverse(X3),X3) = multiply(inverse(multiply(inverse(inverse(X2)),X)),multiply(inverse(inverse(X2)),X)),
    inference(substitution,[status(thm)],[c212]) ).

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

cnf(c218,plain,
    multiply(inverse(X2),X2) = multiply(inverse(inverse(X)),inverse(X)),
    inference(substitution,[status(thm)],[c212]) ).

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

cnf(c220,plain,
    multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(inverse(X2)),X)) = multiply(inverse(multiply(inverse(inverse(X2)),inverse(X2))),multiply(inverse(inverse(X2)),X)),
    inference(congruence,[status(thm)],[c219]) ).

cnf(c221,plain,
    multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,X3)) = multiply(inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X),X))),inverse(X4))),multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X),X))),X3)),
    inference(substitution,[status(thm)],[c57]) ).

cnf(c222,plain,
    multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(multiply(inverse(X2),X2),inverse(X))),multiply(multiply(inverse(X2),X2),inverse(X))))),X) = multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X)),X2)))),
    inference(substitution,[status(thm)],[c69]) ).

cnf(c223,plain,
    multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X)),X2)))) = multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(multiply(inverse(X2),X2),inverse(X))),multiply(multiply(inverse(X2),X2),inverse(X))))),X),
    inference(symmetry,[status(thm)],[c222]) ).

cnf(c224,plain,
    multiply(inverse(X),X) = multiply(inverse(multiply(multiply(inverse(X3),X3),inverse(X2))),multiply(multiply(inverse(X3),X3),inverse(X2))),
    inference(substitution,[status(thm)],[c212]) ).

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

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

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

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

cnf(c229,plain,
    multiply(inverse(X2),X2) = multiply(inverse(X),X),
    inference(symmetry,[status(thm)],[c212]) ).

cnf(c230,plain,
    multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(X),X))) = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X),X))),
    inference(congruence,[status(thm)],[c229]) ).

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

cnf(c232,plain,
    multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(multiply(inverse(X4),X4),inverse(X3))),multiply(multiply(inverse(X4),X4),inverse(X3))))),X3) = multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X),X))),X3),
    inference(transitivity,[status(thm)],[c228,c231]) ).

cnf(c233,plain,
    multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(X3)),X4)))) = multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X),X))),X3),
    inference(transitivity,[status(thm)],[c223,c232]) ).

cnf(c234,plain,
    multiply(inverse(multiply(X2,inverse(X))),multiply(X2,inverse(multiply(multiply(multiply(inverse(X),X),inverse(X3)),X)))) = multiply(multiply(multiply(inverse(X5),X5),inverse(multiply(inverse(X4),X4))),X3),
    inference(substitution,[status(thm)],[c233]) ).

cnf(c235,plain,
    multiply(multiply(multiply(inverse(X5),X5),inverse(multiply(inverse(X4),X4))),X3) = multiply(inverse(multiply(X2,inverse(X))),multiply(X2,inverse(multiply(multiply(multiply(inverse(X),X),inverse(X3)),X)))),
    inference(symmetry,[status(thm)],[c234]) ).

cnf(c236,plain,
    inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),inverse(X))),X4))),X)) = multiply(X3,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X4)),X2))),
    inference(substitution,[status(thm)],[c14]) ).

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

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

cnf(c239,plain,
    multiply(inverse(multiply(X3,inverse(X2))),inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),inverse(X))),X4))),X))) = X4,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c240,plain,
    multiply(inverse(multiply(X2,inverse(X))),multiply(X2,inverse(multiply(multiply(multiply(inverse(X),X),inverse(X3)),X)))) = X3,
    inference(transitivity,[status(thm)],[c238,c239]) ).

cnf(c241,plain,
    multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(X2),X2))),X) = X,
    inference(transitivity,[status(thm)],[c235,c240]) ).

cnf(c242,plain,
    multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X),X))),inverse(X3)) = inverse(X3),
    inference(substitution,[status(thm)],[c241]) ).

cnf(c243,plain,
    inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X),X))),inverse(X3))) = inverse(inverse(X3)),
    inference(congruence,[status(thm)],[c242]) ).

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

cnf(c245,plain,
    multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X),X))),X3) = X3,
    inference(substitution,[status(thm)],[c241]) ).

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

cnf(c247,plain,
    multiply(inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X),X))),inverse(X4))),multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X),X))),X3)) = multiply(inverse(inverse(X4)),X3),
    inference(transitivity,[status(thm)],[c244,c246]) ).

cnf(c248,plain,
    multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,X)) = multiply(inverse(inverse(X2)),X),
    inference(transitivity,[status(thm)],[c221,c247]) ).

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

cnf(c250,plain,
    multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(inverse(X2)),X)) = multiply(inverse(inverse(X2)),X),
    inference(transitivity,[status(thm)],[c220,c249]) ).

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

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

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

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

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

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

cnf(c257,plain,
    multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(multiply(inverse(X4),X4),inverse(X))),X2))),X) = multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(multiply(X2,X4)))),
    inference(substitution,[status(thm)],[c69]) ).

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

cnf(c259,plain,
    inverse(multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(multiply(X2,X4))))) = inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(multiply(inverse(X4),X4),inverse(X))),X2))),X)),
    inference(congruence,[status(thm)],[c258]) ).

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

cnf(c261,plain,
    multiply(multiply(inverse(X3),X3),inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(multiply(inverse(X3),X3),inverse(X))),X2))),X))) = X2,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c262,plain,
    multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(X,X3)))))) = X,
    inference(transitivity,[status(thm)],[c260,c261]) ).

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

cnf(c264,plain,
    multiply(multiply(inverse(multiply(inverse(inverse(X2)),X)),multiply(inverse(inverse(X2)),X)),inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X2)),X)))),multiply(X3,inverse(multiply(inverse(inverse(X2)),X)))))) = inverse(multiply(inverse(X4),X4)),
    inference(transitivity,[status(thm)],[c256,c263]) ).

cnf(c265,plain,
    multiply(multiply(inverse(X5),X5),inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X2)),X)))),multiply(X3,inverse(multiply(inverse(inverse(X2)),X)))))) = inverse(multiply(inverse(X4),X4)),
    inference(transitivity,[status(thm)],[c217,c264]) ).

cnf(c266,plain,
    multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(X2),X2))) = inverse(multiply(inverse(X),X)),
    inference(transitivity,[status(thm)],[c215,c265]) ).

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

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

cnf(c269,plain,
    multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X),X))) = inverse(multiply(inverse(X),X)),
    inference(substitution,[status(thm)],[c266]) ).

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

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

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

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

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

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

cnf(c276,plain,
    multiply(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(multiply(X,inverse(inverse(multiply(inverse(X2),X2))))),multiply(X,inverse(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(X2),X2)))))))) = multiply(inverse(X3),X3),
    inference(substitution,[status(thm)],[c262]) ).

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

cnf(c278,plain,
    inverse(multiply(inverse(X2),X2)) = multiply(inverse(X),X),
    inference(transitivity,[status(thm)],[c268,c277]) ).

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

cnf(c280,plain,
    multiply(inverse(X2),X2) = inverse(multiply(inverse(X),X)),
    inference(symmetry,[status(thm)],[c279]) ).

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

cnf(c282,plain,
    multiply(inverse(inverse(X2)),inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(inverse(inverse(X2)),inverse(X))),X3))),X))) = X3,
    inference(substitution,[status(thm)],[c2]) ).

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

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

cnf(c285,plain,
    multiply(inverse(multiply(inverse(X4),X4)),multiply(inverse(inverse(X2)),inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(inverse(inverse(X2)),inverse(X))),X3))),X)))) = multiply(inverse(inverse(X2)),inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(inverse(inverse(X2)),inverse(X))),X3))),X))),
    inference(substitution,[status(thm)],[c250]) ).

cnf(c286,plain,
    multiply(inverse(inverse(X2)),inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(inverse(inverse(X2)),inverse(X))),X3))),X))) = X3,
    inference(substitution,[status(thm)],[c2]) ).

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

cnf(c288,plain,
    multiply(inverse(multiply(inverse(X2),X2)),X) = X,
    inference(transitivity,[status(thm)],[c284,c287]) ).

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

cnf(c290,plain,
    multiply(multiply(inverse(X2),X2),X) = X,
    inference(transitivity,[status(thm)],[c281,c289]) ).

cnf(c291,plain,
    multiply(multiply(inverse(b2),b2),a2) = a2,
    inference(substitution,[status(thm)],[c290]) ).

cnf(c292,plain,
    $false,
    inference(resolution,[status(thm)],[c1,c291]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP413-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04  % Command  : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37  % Computer : n026.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Sun Sep 27 10:06:26 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51  Command-line arguments: --no-flatten-goal
% 0.19/0.51  
% 0.19/0.51  % SZS status Unsatisfiable
% 0.19/0.51  
% 0.19/0.56  % SZS output start CNFRefutation
% See solution above
% 2.36/0.83  
% 2.36/0.83  RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------