Twee---2.7.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : GRP415-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 10:09:59 AM UTC 2026

% Result   : Unsatisfiable 1.59s 0.66s
% Output   : CNFRefutation 3.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   95
%            Number of leaves      :    2
% Syntax   : Number of clauses     :  239 ( 239 unt;   0 nHn;   3 RR)
%            Number of literals    :  239 ( 238 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   17 (   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   :  987 (   0 sgn)

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

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

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

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

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

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

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

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

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

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

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

cnf(c12,plain,
    inverse(multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(X3)))),inverse(multiply(inverse(X2),X2))))))))),inverse(multiply(inverse(X5),X5)))))) = multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(X3)))),inverse(multiply(inverse(X2),X2))))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c13,plain,
    inverse(multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,X3))),inverse(multiply(inverse(X5),X5)))))) = multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(X3)))),inverse(multiply(inverse(X2),X2))))),
    inference(transitivity,[status(thm)],[c11,c12]) ).

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

cnf(c15,plain,
    multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,inverse(inverse(X3))))),inverse(multiply(inverse(X5),X5))))) = inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(X3)))),inverse(multiply(inverse(X2),X2)))))),
    inference(symmetry,[status(thm)],[c14]) ).

cnf(c16,plain,
    inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(X3)))),inverse(multiply(inverse(X2),X2)))))) = X3,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c17,plain,
    multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(X))))),inverse(multiply(inverse(X3),X3))))) = X,
    inference(transitivity,[status(thm)],[c15,c16]) ).

cnf(c18,plain,
    multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(multiply(inverse(X),X)))))),inverse(multiply(inverse(X3),X3))))) = multiply(inverse(X),X),
    inference(substitution,[status(thm)],[c17]) ).

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

cnf(c20,plain,
    multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(X3,X)),multiply(X3,inverse(inverse(X2))))),inverse(multiply(inverse(X),X))))) = X2,
    inference(substitution,[status(thm)],[c17]) ).

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

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

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

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

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

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

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

cnf(c28,plain,
    multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X,X3)),multiply(X,inverse(inverse(X2))))),inverse(multiply(inverse(X3),X3))))) = X2,
    inference(substitution,[status(thm)],[c17]) ).

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

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

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

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

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

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

cnf(c35,plain,
    inverse(multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X,X5)),multiply(X,inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X3),X3))))))))),inverse(multiply(inverse(X5),X5)))))) = multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X3),X3))))),
    inference(substitution,[status(thm)],[c2]) ).

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

cnf(c37,plain,
    inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(X3)))),inverse(multiply(inverse(X2),X2)))))) = X3,
    inference(substitution,[status(thm)],[c2]) ).

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

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

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

cnf(c41,plain,
    multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(X5)))),inverse(multiply(inverse(X4),X4))))))))),inverse(multiply(inverse(X2),X2))) = multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,X5))),inverse(multiply(inverse(X2),X2))),
    inference(congruence,[status(thm)],[c40]) ).

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

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

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

cnf(c45,plain,
    inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X)))),inverse(multiply(inverse(X3),X3)))))) = X,
    inference(substitution,[status(thm)],[c2]) ).

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

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

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

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

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

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

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

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

cnf(c54,plain,
    inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,inverse(X3)))),inverse(multiply(inverse(X5),X5))))))))),inverse(multiply(inverse(X2),X2)))))) = multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,inverse(X3)))),inverse(multiply(inverse(X5),X5))))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c55,plain,
    inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,X3))),inverse(multiply(inverse(X2),X2)))))) = multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,inverse(X3)))),inverse(multiply(inverse(X5),X5))))),
    inference(transitivity,[status(thm)],[c53,c54]) ).

cnf(c56,plain,
    inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(X5)))),inverse(multiply(inverse(X4),X4))))))))),inverse(multiply(inverse(X2),X2)))))) = multiply(X7,inverse(multiply(inverse(multiply(inverse(multiply(X6,X7)),multiply(X6,inverse(X5)))),inverse(multiply(inverse(X7),X7))))),
    inference(transitivity,[status(thm)],[c44,c55]) ).

cnf(c57,plain,
    multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(X3)))),inverse(multiply(inverse(X2),X2))))) = multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,inverse(X3)))),inverse(multiply(inverse(X5),X5))))),
    inference(transitivity,[status(thm)],[c36,c56]) ).

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

cnf(c59,plain,
    multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X,X3)),multiply(X,inverse(inverse(X2))))),inverse(multiply(inverse(X3),X3))))) = X2,
    inference(substitution,[status(thm)],[c17]) ).

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

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

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

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

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

cnf(c65,plain,
    multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X,X4)),multiply(X,inverse(inverse(X3))))),inverse(multiply(inverse(X4),X4))))))),inverse(multiply(inverse(X2),X2))))) = multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),X3)),inverse(multiply(inverse(X5),X5))))),
    inference(transitivity,[status(thm)],[c58,c64]) ).

cnf(c66,plain,
    multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(X3,X)),X2)),inverse(multiply(inverse(X),X))))) = multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),X2)),inverse(multiply(inverse(X4),X4))))),
    inference(transitivity,[status(thm)],[c34,c65]) ).

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

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

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

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

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

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

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

cnf(c74,plain,
    inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(X3,X)),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),X2)),inverse(multiply(inverse(X3),X3))))))),inverse(multiply(inverse(X),X)))))) = multiply(inverse(multiply(inverse(multiply(X4,X3)),X2)),inverse(multiply(inverse(X3),X3))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c75,plain,
    inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X4,X2)),multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(X5,X)),X3)),inverse(multiply(inverse(X),X))))))),inverse(multiply(inverse(X2),X2)))))) = multiply(inverse(multiply(inverse(multiply(X5,X4)),X3)),inverse(multiply(inverse(X4),X4))),
    inference(transitivity,[status(thm)],[c73,c74]) ).

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

cnf(c77,plain,
    inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(X3,X)),X2)),inverse(multiply(inverse(X),X)))))) = multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(inverse(X2))))),inverse(multiply(inverse(X3),X3))),
    inference(transitivity,[status(thm)],[c27,c76]) ).

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

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

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

cnf(c81,plain,
    multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(inverse(X4))))),inverse(multiply(inverse(X2),X2))))) = multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X3,X5)),multiply(X3,inverse(inverse(X4))))),inverse(multiply(inverse(X5),X5))))),
    inference(substitution,[status(thm)],[c57]) ).

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

cnf(c83,plain,
    multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(inverse(X3))))),inverse(multiply(inverse(X2),X2))))) = X3,
    inference(substitution,[status(thm)],[c17]) ).

cnf(c84,plain,
    multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X,X3)),multiply(X,inverse(inverse(X2))))),inverse(multiply(inverse(X3),X3))))) = X2,
    inference(transitivity,[status(thm)],[c82,c83]) ).

cnf(c85,plain,
    multiply(X3,inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),X)),inverse(multiply(inverse(X2),X2)))))))) = X,
    inference(transitivity,[status(thm)],[c80,c84]) ).

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

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

cnf(c88,plain,
    inverse(multiply(inverse(multiply(X3,X2)),inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(X3,X2)))),multiply(X4,inverse(X)))),inverse(multiply(inverse(inverse(multiply(X3,X2))),inverse(multiply(X3,X2)))))))) = X,
    inference(substitution,[status(thm)],[c2]) ).

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

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

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

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

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

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

cnf(c95,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(X3,X2)))),multiply(X4,inverse(X)))),inverse(multiply(inverse(inverse(multiply(X3,X2))),inverse(multiply(X3,X2)))))) = multiply(X3,inverse(inverse(multiply(X2,inverse(multiply(X,inverse(multiply(inverse(X2),X2)))))))),
    inference(transitivity,[status(thm)],[c87,c94]) ).

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

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

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

cnf(c99,plain,
    multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X3),X3))))) = multiply(inverse(multiply(X6,X5)),inverse(multiply(inverse(multiply(inverse(multiply(X,inverse(multiply(X6,X5)))),multiply(X,inverse(X4)))),inverse(multiply(inverse(inverse(multiply(X6,X5))),inverse(multiply(X6,X5))))))),
    inference(substitution,[status(thm)],[c57]) ).

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

cnf(c101,plain,
    multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(inverse(multiply(X4,inverse(multiply(X3,inverse(multiply(inverse(X4),X4))))))))) = multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(X3)))),inverse(multiply(inverse(X2),X2))))),
    inference(transitivity,[status(thm)],[c98,c100]) ).

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

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

cnf(c104,plain,
    multiply(inverse(multiply(inverse(X4),X4)),inverse(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X4),X4)),X)),multiply(inverse(multiply(inverse(X2),X2)),X3))),inverse(multiply(inverse(X),X)))))))) = multiply(inverse(multiply(inverse(X2),X2)),X3),
    inference(substitution,[status(thm)],[c85]) ).

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

cnf(c106,plain,
    multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(X5,X)),multiply(X5,inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),X2)),X4)),X3)))))),inverse(multiply(inverse(X),X))))) = multiply(inverse(multiply(inverse(multiply(inverse(X2),X2)),X4)),X3),
    inference(substitution,[status(thm)],[c17]) ).

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

cnf(c108,plain,
    multiply(inverse(multiply(X3,X6)),multiply(X3,inverse(inverse(multiply(X6,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X4),X4)),X6)),X5)),inverse(multiply(inverse(X6),X6))))))))) = multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X4),X4)),X6)),X5)))))),inverse(multiply(inverse(X2),X2))))),
    inference(substitution,[status(thm)],[c101]) ).

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

cnf(c110,plain,
    multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),X2)),X3)),X4)),inverse(multiply(inverse(X3),X3))))) = multiply(inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X)))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X)))))),X4)),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X))))),inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X))))))))),
    inference(substitution,[status(thm)],[c66]) ).

cnf(c111,plain,
    inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(X3,X)),multiply(X3,inverse(X2)))),inverse(multiply(inverse(X),X)))))) = multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(inverse(multiply(X3,inverse(X2))))))),inverse(multiply(inverse(X3),X3))),
    inference(substitution,[status(thm)],[c77]) ).

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

cnf(c113,plain,
    inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(X3,X)),multiply(X3,inverse(X2)))),inverse(multiply(inverse(X),X)))))) = X2,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c114,plain,
    multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(inverse(multiply(X2,inverse(X))))))),inverse(multiply(inverse(X2),X2))) = X,
    inference(transitivity,[status(thm)],[c112,c113]) ).

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

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

cnf(c117,plain,
    multiply(inverse(multiply(inverse(multiply(X,X3)),multiply(X,inverse(inverse(multiply(X3,inverse(X2))))))),inverse(multiply(inverse(X3),X3))) = X2,
    inference(substitution,[status(thm)],[c114]) ).

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

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

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

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

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

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

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

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

cnf(c126,plain,
    X = multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(inverse(multiply(X2,inverse(X))))))),inverse(multiply(inverse(X2),X2))),
    inference(symmetry,[status(thm)],[c114]) ).

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

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

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

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

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

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

cnf(c133,plain,
    inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(inverse(multiply(X2,inverse(X))))))),X4)),multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(inverse(multiply(X2,inverse(X))))))),inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(X4),X4)))))) = multiply(inverse(X2),X2),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c134,plain,
    inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(inverse(multiply(X2,inverse(X))))))),X4)),X)),inverse(multiply(inverse(X4),X4)))))) = multiply(inverse(X2),X2),
    inference(transitivity,[status(thm)],[c132,c133]) ).

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

cnf(c136,plain,
    inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))))) = multiply(inverse(X2),X2),
    inference(transitivity,[status(thm)],[c125,c135]) ).

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

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

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

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

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

cnf(c142,plain,
    inverse(multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X)))))))) = multiply(inverse(X),X),
    inference(substitution,[status(thm)],[c136]) ).

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

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

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

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

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

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

cnf(c149,plain,
    multiply(inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(X2),X2)))),multiply(X,inverse(inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))))))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))),
    inference(substitution,[status(thm)],[c114]) ).

cnf(c150,plain,
    multiply(inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(X2),X2)))),multiply(X,inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))),
    inference(transitivity,[status(thm)],[c148,c149]) ).

cnf(c151,plain,
    multiply(inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(X3),X3)))),multiply(X,inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3)))))))))))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3))))) = multiply(inverse(multiply(inverse(X4),X4)),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3))))),
    inference(transitivity,[status(thm)],[c141,c150]) ).

cnf(c152,plain,
    multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))),
    inference(transitivity,[status(thm)],[c116,c151]) ).

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

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

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

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

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

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

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

cnf(c160,plain,
    multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),X3)),X4)),X2)),inverse(multiply(inverse(X4),X4))))) = multiply(inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X)))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X)))))),X2)),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X))))),inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X))))))))),
    inference(substitution,[status(thm)],[c66]) ).

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

cnf(c162,plain,
    multiply(inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X)))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X)))))),X3)),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X))))),inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(X),X))))))))) = multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X4),X4)),X5)),X3)),inverse(multiply(inverse(X5),X5))))),
    inference(transitivity,[status(thm)],[c159,c161]) ).

cnf(c163,plain,
    multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X),X)),X2)),X3)),inverse(multiply(inverse(X2),X2))))) = multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X4),X4)),X5)),X3)),inverse(multiply(inverse(X5),X5))))),
    inference(transitivity,[status(thm)],[c110,c162]) ).

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

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

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

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

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

cnf(c169,plain,
    multiply(inverse(multiply(X,X5)),multiply(X,inverse(inverse(multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X6),X6)),X5)),X4)),inverse(multiply(inverse(X5),X5))))))))) = multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X6),X6)),X5)),X4)))))),inverse(multiply(inverse(X3),X3))))),
    inference(substitution,[status(thm)],[c101]) ).

cnf(c170,plain,
    multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X5),X5)),X4)),X3)))))),inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(inverse(multiply(inverse(X5),X5)),X4)),X3),
    inference(substitution,[status(thm)],[c17]) ).

cnf(c171,plain,
    multiply(inverse(multiply(X,X3)),multiply(X,inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X4),X4)),X3)),X2)),inverse(multiply(inverse(X3),X3))))))))) = multiply(inverse(multiply(inverse(multiply(inverse(X4),X4)),X3)),X2),
    inference(transitivity,[status(thm)],[c169,c170]) ).

cnf(c172,plain,
    multiply(inverse(multiply(X,X4)),multiply(X,inverse(inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),X2)),X4)),X3)),inverse(multiply(inverse(X4),X4))))))))) = multiply(inverse(multiply(inverse(multiply(inverse(X5),X5)),X4)),X3),
    inference(transitivity,[status(thm)],[c168,c171]) ).

cnf(c173,plain,
    multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),X3)),X5)),X4)))))),inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(inverse(multiply(inverse(X6),X6)),X5)),X4),
    inference(transitivity,[status(thm)],[c109,c172]) ).

cnf(c174,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(X),X)),X3)),X2) = multiply(inverse(multiply(inverse(multiply(inverse(X4),X4)),X3)),X2),
    inference(transitivity,[status(thm)],[c107,c173]) ).

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

cnf(c176,plain,
    inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(multiply(inverse(multiply(X3,X5)),multiply(X3,X4)))))),inverse(multiply(inverse(X2),X2)))))) = multiply(inverse(multiply(X3,X5)),multiply(X3,X4)),
    inference(substitution,[status(thm)],[c2]) ).

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

cnf(c178,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X,inverse(multiply(X4,X3)))),multiply(X,inverse(X2)))),inverse(multiply(inverse(inverse(multiply(X4,X3))),inverse(multiply(X4,X3)))))) = multiply(X4,inverse(inverse(multiply(X3,inverse(multiply(X2,inverse(multiply(inverse(X3),X3)))))))),
    inference(substitution,[status(thm)],[c95]) ).

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

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

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

cnf(c182,plain,
    inverse(multiply(inverse(multiply(X4,X3)),inverse(multiply(inverse(multiply(inverse(multiply(X,inverse(multiply(X4,X3)))),multiply(X,inverse(X2)))),inverse(multiply(inverse(inverse(multiply(X4,X3))),inverse(multiply(X4,X3)))))))) = X2,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c183,plain,
    inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(inverse(multiply(X2,inverse(multiply(X,inverse(multiply(inverse(X2),X2)))))))))) = X,
    inference(transitivity,[status(thm)],[c181,c182]) ).

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

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

cnf(c186,plain,
    inverse(multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X3,X5)),multiply(X3,X4))),inverse(multiply(inverse(X5),X5)))))) = multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(X4)))),inverse(multiply(inverse(X2),X2))))),
    inference(substitution,[status(thm)],[c13]) ).

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

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

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

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

cnf(c191,plain,
    inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X5,X3))),inverse(multiply(inverse(X4),X4)))))) = multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(X3)))),inverse(multiply(inverse(X2),X2))))),
    inference(substitution,[status(thm)],[c13]) ).

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

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

cnf(c194,plain,
    multiply(X3,inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(X4)))),inverse(multiply(inverse(X2),X2))))))) = multiply(X3,inverse(inverse(multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X6,X4))),inverse(multiply(inverse(X5),X5)))))))),
    inference(congruence,[status(thm)],[c193]) ).

cnf(c195,plain,
    multiply(inverse(multiply(X3,X5)),multiply(X3,inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(X4)))),inverse(multiply(inverse(X2),X2)))))))) = multiply(inverse(multiply(X3,X5)),multiply(X3,inverse(inverse(multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X6,X4))),inverse(multiply(inverse(X5),X5))))))))),
    inference(congruence,[status(thm)],[c194]) ).

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

cnf(c197,plain,
    inverse(multiply(inverse(multiply(X,X3)),multiply(X,inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X2))),inverse(multiply(inverse(X3),X3)))))))))) = inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X2))),
    inference(substitution,[status(thm)],[c183]) ).

cnf(c198,plain,
    inverse(multiply(inverse(multiply(X3,X5)),multiply(X3,inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(X4)))),inverse(multiply(inverse(X2),X2))))))))) = inverse(multiply(inverse(multiply(X6,X5)),multiply(X6,X4))),
    inference(transitivity,[status(thm)],[c196,c197]) ).

cnf(c199,plain,
    inverse(multiply(inverse(multiply(X,X4)),multiply(X,inverse(inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X2,X4)),multiply(X2,X3))),inverse(multiply(inverse(X4),X4)))))))))) = inverse(multiply(inverse(multiply(X5,X4)),multiply(X5,X3))),
    inference(transitivity,[status(thm)],[c190,c198]) ).

cnf(c200,plain,
    inverse(multiply(inverse(multiply(X,X3)),multiply(X,X2))) = inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X2))),
    inference(transitivity,[status(thm)],[c185,c199]) ).

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

cnf(c202,plain,
    multiply(inverse(multiply(X,X2)),multiply(X,inverse(multiply(inverse(multiply(X3,X5)),multiply(X3,X4))))) = multiply(inverse(multiply(X,X2)),multiply(X,inverse(multiply(inverse(multiply(X6,X5)),multiply(X6,X4))))),
    inference(congruence,[status(thm)],[c201]) ).

cnf(c203,plain,
    inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(multiply(inverse(multiply(X3,X5)),multiply(X3,X4)))))) = inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(multiply(inverse(multiply(X6,X5)),multiply(X6,X4)))))),
    inference(congruence,[status(thm)],[c202]) ).

cnf(c204,plain,
    multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(multiply(inverse(multiply(X3,X5)),multiply(X3,X4)))))),inverse(multiply(inverse(X2),X2))) = multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(multiply(inverse(multiply(X6,X5)),multiply(X6,X4)))))),inverse(multiply(inverse(X2),X2))),
    inference(congruence,[status(thm)],[c203]) ).

cnf(c205,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(multiply(inverse(multiply(X3,X5)),multiply(X3,X4)))))),inverse(multiply(inverse(X2),X2)))) = inverse(multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(multiply(inverse(multiply(X6,X5)),multiply(X6,X4)))))),inverse(multiply(inverse(X2),X2)))),
    inference(congruence,[status(thm)],[c204]) ).

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

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

cnf(c208,plain,
    inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(multiply(inverse(multiply(X5,X4)),multiply(X5,X3)))))),inverse(multiply(inverse(X2),X2)))))) = multiply(inverse(multiply(X5,X4)),multiply(X5,X3)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c209,plain,
    inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(multiply(inverse(multiply(X3,X5)),multiply(X3,X4)))))),inverse(multiply(inverse(X2),X2)))))) = multiply(inverse(multiply(X6,X5)),multiply(X6,X4)),
    inference(transitivity,[status(thm)],[c207,c208]) ).

cnf(c210,plain,
    multiply(inverse(multiply(X,X3)),multiply(X,X2)) = multiply(inverse(multiply(X4,X3)),multiply(X4,X2)),
    inference(transitivity,[status(thm)],[c177,c209]) ).

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

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

cnf(c213,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(X5),X5)),X4)),multiply(inverse(multiply(inverse(X3),X3)),X2)) = multiply(inverse(multiply(X,X4)),multiply(X,X2)),
    inference(transitivity,[status(thm)],[c175,c212]) ).

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

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

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

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

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

cnf(c219,plain,
    inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X4),X4)),X)),multiply(inverse(multiply(inverse(X2),X2)),X3))),inverse(multiply(inverse(X),X)))))) = inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X4),X4)),X)),multiply(inverse(multiply(inverse(X4),X4)),X3))),inverse(multiply(inverse(X),X)))))),
    inference(congruence,[status(thm)],[c218]) ).

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

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

cnf(c222,plain,
    multiply(inverse(multiply(inverse(X3),X3)),inverse(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),X3)),X)),multiply(inverse(multiply(inverse(X3),X3)),X2))),inverse(multiply(inverse(X),X)))))))) = multiply(inverse(multiply(inverse(X3),X3)),X2),
    inference(substitution,[status(thm)],[c85]) ).

cnf(c223,plain,
    multiply(inverse(multiply(inverse(X4),X4)),inverse(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X4),X4)),X)),multiply(inverse(multiply(inverse(X2),X2)),X3))),inverse(multiply(inverse(X),X)))))))) = multiply(inverse(multiply(inverse(X4),X4)),X3),
    inference(transitivity,[status(thm)],[c221,c222]) ).

cnf(c224,plain,
    multiply(inverse(multiply(inverse(X),X)),X2) = multiply(inverse(multiply(inverse(X3),X3)),X2),
    inference(transitivity,[status(thm)],[c105,c223]) ).

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

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

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

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

cnf(c229,plain,
    inverse(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X),X))))))) = inverse(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(X),X))))))),
    inference(congruence,[status(thm)],[c228]) ).

cnf(c230,plain,
    multiply(X2,inverse(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(X),X)))))))) = multiply(X2,inverse(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(X4),X4)),inverse(multiply(inverse(X),X)))))))),
    inference(congruence,[status(thm)],[c229]) ).

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

cnf(c232,plain,
    multiply(inverse(multiply(X2,X)),multiply(X2,inverse(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(X5),X5)),inverse(multiply(inverse(X),X))))))))) = multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(inverse(multiply(inverse(X5),X5)))))),inverse(multiply(inverse(X4),X4))))),
    inference(substitution,[status(thm)],[c101]) ).

cnf(c233,plain,
    multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(inverse(multiply(inverse(X3),X3)))))),inverse(multiply(inverse(X2),X2))))) = multiply(inverse(X3),X3),
    inference(substitution,[status(thm)],[c17]) ).

cnf(c234,plain,
    multiply(inverse(multiply(X2,X)),multiply(X2,inverse(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(X),X))))))))) = multiply(inverse(X3),X3),
    inference(transitivity,[status(thm)],[c232,c233]) ).

cnf(c235,plain,
    multiply(inverse(multiply(X2,X)),multiply(X2,inverse(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(X),X))))))))) = multiply(inverse(X4),X4),
    inference(transitivity,[status(thm)],[c231,c234]) ).

cnf(c236,plain,
    multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X,X2)),multiply(X,inverse(inverse(multiply(inverse(X3),X3)))))),inverse(multiply(inverse(X2),X2))))) = multiply(inverse(X4),X4),
    inference(transitivity,[status(thm)],[c103,c235]) ).

cnf(c237,plain,
    multiply(inverse(X),X) = multiply(inverse(X2),X2),
    inference(transitivity,[status(thm)],[c19,c236]) ).

cnf(c238,plain,
    multiply(inverse(a1),a1) = multiply(inverse(b1),b1),
    inference(substitution,[status(thm)],[c237]) ).

cnf(c239,plain,
    $false,
    inference(resolution,[status(thm)],[c1,c238]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP415-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04  % Command  : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36  % Computer : n003.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Sun Sep 27 10:05:25 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.36  Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.59/0.66  Command-line arguments: --no-flatten-goal
% 1.59/0.66  
% 1.59/0.66  % SZS status Unsatisfiable
% 1.59/0.66  
% 1.59/0.70  % SZS output start CNFRefutation
% See solution above
% 3.50/0.96  
% 3.50/0.96  RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------