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Twee---2.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : GRP506-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 10:10:52 AM UTC 2026

% Result   : Unsatisfiable 5.70s 6.16s
% Output   : CNFRefutation 14.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  245
%            Number of leaves      :    2
% Syntax   : Number of clauses     :  958 ( 958 unt;   0 nHn;   3 RR)
%            Number of literals    :  958 ( 957 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   18 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   : 4256 (   0 sgn)

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

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

cnf(c3,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X11,X10)),multiply(X10,X11))),multiply(inverse(multiply(X9,X8)),multiply(X9,inverse(multiply(multiply(multiply(X7,X6),inverse(X6)),inverse(X8))))))),inverse(X)),inverse(X2))))))),X) = inverse(multiply(inverse(multiply(inverse(multiply(X11,X10)),multiply(X10,X11))),multiply(inverse(multiply(X9,X8)),multiply(X9,inverse(multiply(multiply(multiply(X7,X6),inverse(X6)),inverse(X8))))))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c4,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X11,X10)),multiply(X10,X11))),multiply(inverse(multiply(X9,X8)),multiply(X9,inverse(multiply(multiply(multiply(X7,X6),inverse(X6)),inverse(X8))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X11,X10)),multiply(X10,X11))),multiply(inverse(multiply(X9,X8)),multiply(X9,inverse(multiply(multiply(multiply(X7,X6),inverse(X6)),inverse(X8))))))),inverse(X)),inverse(X2))))))),X),
    inference(symmetry,[status(thm)],[c3]) ).

cnf(c5,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(multiply(X,X6)),multiply(X,inverse(multiply(multiply(X5,inverse(X4)),inverse(X6))))))),X4) = X5,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c6,plain,
    X6 = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X6,inverse(X5)),inverse(X))))))),X5),
    inference(symmetry,[status(thm)],[c5]) ).

cnf(c7,plain,
    multiply(X7,X6) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X7,inverse(X5)),inverse(X))))))),X5),X6),
    inference(congruence,[status(thm)],[c6]) ).

cnf(c8,plain,
    multiply(multiply(X7,X6),inverse(X6)) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X7,inverse(X5)),inverse(X))))))),X5),X6),inverse(X6)),
    inference(congruence,[status(thm)],[c7]) ).

cnf(c9,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X7))))))),inverse(X5)),inverse(X))))))),X5) = inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X7))))))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c10,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X7))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X7))))))),inverse(X5)),inverse(X))))))),X5),
    inference(symmetry,[status(thm)],[c9]) ).

cnf(c11,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(X2,inverse(inverse(X))),inverse(X3))))))),inverse(X)) = X2,
    inference(substitution,[status(thm)],[c2]) ).

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

cnf(c13,plain,
    inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(multiply(X3,inverse(inverse(X2))),inverse(X4))))))),inverse(X2)),inverse(X))) = inverse(multiply(X3,inverse(X))),
    inference(congruence,[status(thm)],[c12]) ).

cnf(c14,plain,
    multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X5)),multiply(X6,inverse(multiply(multiply(X4,inverse(inverse(X3))),inverse(X5))))))),inverse(X3)),inverse(X)))) = multiply(X2,inverse(multiply(X4,inverse(X)))),
    inference(congruence,[status(thm)],[c13]) ).

cnf(c15,plain,
    multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X5)),multiply(X6,inverse(multiply(multiply(X4,inverse(inverse(X3))),inverse(X5))))))),inverse(X3)),inverse(X))))) = multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(X4,inverse(X))))),
    inference(congruence,[status(thm)],[c14]) ).

cnf(c16,plain,
    multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X7))))))),inverse(X5)),inverse(X)))))) = multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(X6,inverse(X)))))),
    inference(congruence,[status(thm)],[c15]) ).

cnf(c17,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X7))))))),inverse(X5)),inverse(X))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(X6,inverse(X))))))),
    inference(congruence,[status(thm)],[c16]) ).

cnf(c18,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X7))))))),inverse(X5)),inverse(X))))))),X5) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(X6,inverse(X))))))),X5),
    inference(congruence,[status(thm)],[c17]) ).

cnf(c19,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X7))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(X6,inverse(X))))))),X5),
    inference(transitivity,[status(thm)],[c10,c18]) ).

cnf(c20,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(X6,inverse(X7))))))),X5),
    inference(substitution,[status(thm)],[c19]) ).

cnf(c21,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(X6,inverse(X7))))))),X5) = inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X))))))),
    inference(symmetry,[status(thm)],[c20]) ).

cnf(c22,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X11,X10)),multiply(X10,X11))),multiply(inverse(multiply(X9,X8)),multiply(X9,inverse(multiply(X7,inverse(X8))))))),X6),X5) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X7,inverse(inverse(X6))),inverse(X))))))),X5),
    inference(congruence,[status(thm)],[c21]) ).

cnf(c23,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X11,X10)),multiply(X10,X11))),multiply(inverse(multiply(X9,X8)),multiply(X9,inverse(multiply(X7,inverse(X8))))))),X6),X5),inverse(X5)) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X7,inverse(inverse(X6))),inverse(X))))))),X5),inverse(X5)),
    inference(congruence,[status(thm)],[c22]) ).

cnf(c24,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(X6,inverse(X7))))))),X5),
    inference(substitution,[status(thm)],[c19]) ).

cnf(c25,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(X6,inverse(X7))))))),X5) = inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X))))))),
    inference(symmetry,[status(thm)],[c24]) ).

cnf(c26,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(X6,inverse(X7))))))),X5),inverse(X5)) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X))))))),inverse(X5)),
    inference(congruence,[status(thm)],[c25]) ).

cnf(c27,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X))))))),inverse(X5)) = X6,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c28,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(X2,inverse(X3))))))),X),inverse(X)) = X2,
    inference(transitivity,[status(thm)],[c26,c27]) ).

cnf(c29,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X7,inverse(inverse(X6))),inverse(X))))))),X5),inverse(X5)) = multiply(X7,inverse(inverse(X6))),
    inference(substitution,[status(thm)],[c28]) ).

cnf(c30,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(X3,inverse(X4))))))),X2),X),inverse(X)) = multiply(X3,inverse(inverse(X2))),
    inference(transitivity,[status(thm)],[c23,c29]) ).

cnf(c31,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X7,inverse(X5)),inverse(X))))))),X5),X6),inverse(X6)) = multiply(multiply(X7,inverse(X5)),inverse(inverse(X5))),
    inference(substitution,[status(thm)],[c30]) ).

cnf(c32,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X7,inverse(X)),inverse(X2))))))),X),X6),inverse(X6)) = multiply(multiply(X7,inverse(X)),inverse(inverse(X))),
    inference(substitution,[status(thm)],[c30]) ).

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

cnf(c34,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X6,inverse(X)),inverse(X2))))))),X) = X6,
    inference(substitution,[status(thm)],[c2]) ).

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

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

cnf(c37,plain,
    multiply(multiply(X3,inverse(X)),inverse(inverse(X))) = multiply(multiply(X3,X2),inverse(X2)),
    inference(transitivity,[status(thm)],[c33,c36]) ).

cnf(c38,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X8,inverse(X5)),inverse(X))))))),X5),X6),inverse(X6)) = multiply(multiply(X8,X7),inverse(X7)),
    inference(transitivity,[status(thm)],[c31,c37]) ).

cnf(c39,plain,
    multiply(multiply(X3,X),inverse(X)) = multiply(multiply(X3,X2),inverse(X2)),
    inference(transitivity,[status(thm)],[c8,c38]) ).

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

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

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

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

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

cnf(c45,plain,
    multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(multiply(multiply(X3,X2),inverse(X2)),inverse(X4)))))) = multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(multiply(multiply(X3,X),inverse(X)),inverse(X4)))))),
    inference(congruence,[status(thm)],[c44]) ).

cnf(c46,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(multiply(multiply(X3,X2),inverse(X2)),inverse(X4))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(multiply(multiply(X3,X),inverse(X)),inverse(X4))))))),
    inference(congruence,[status(thm)],[c45]) ).

cnf(c47,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(multiply(multiply(X3,X2),inverse(X2)),inverse(X4))))))),X) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(multiply(multiply(X3,X),inverse(X)),inverse(X4))))))),X),
    inference(congruence,[status(thm)],[c46]) ).

cnf(c48,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(X2,X),inverse(X)),inverse(X3))))))),X) = multiply(X2,X),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c49,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(multiply(multiply(X3,X2),inverse(X2)),inverse(X4))))))),X) = multiply(X3,X),
    inference(transitivity,[status(thm)],[c47,c48]) ).

cnf(c50,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(multiply(multiply(X3,X2),inverse(X2)),inverse(X4))))))),inverse(X)) = multiply(X3,inverse(X)),
    inference(substitution,[status(thm)],[c49]) ).

cnf(c51,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X5)),multiply(X6,inverse(multiply(multiply(multiply(X4,X3),inverse(X3)),inverse(X5))))))),inverse(X)),inverse(X2)) = multiply(multiply(X4,inverse(X)),inverse(X2)),
    inference(congruence,[status(thm)],[c50]) ).

cnf(c52,plain,
    inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X5)),multiply(X6,inverse(multiply(multiply(multiply(X4,X3),inverse(X3)),inverse(X5))))))),inverse(X)),inverse(X2))) = inverse(multiply(multiply(X4,inverse(X)),inverse(X2))),
    inference(congruence,[status(thm)],[c51]) ).

cnf(c53,plain,
    multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(multiply(X5,X4),inverse(X4)),inverse(X6))))))),inverse(X)),inverse(X2)))) = multiply(X3,inverse(multiply(multiply(X5,inverse(X)),inverse(X2)))),
    inference(congruence,[status(thm)],[c52]) ).

cnf(c54,plain,
    multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(multiply(X5,X4),inverse(X4)),inverse(X6))))))),inverse(X)),inverse(X2))))) = multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X5,inverse(X)),inverse(X2))))),
    inference(congruence,[status(thm)],[c53]) ).

cnf(c55,plain,
    multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X11,X10)),multiply(X10,X11))),multiply(inverse(multiply(X9,X8)),multiply(X9,inverse(multiply(multiply(multiply(X7,X6),inverse(X6)),inverse(X8))))))),inverse(X)),inverse(X2)))))) = multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X7,inverse(X)),inverse(X2)))))),
    inference(congruence,[status(thm)],[c54]) ).

cnf(c56,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X11,X10)),multiply(X10,X11))),multiply(inverse(multiply(X9,X8)),multiply(X9,inverse(multiply(multiply(multiply(X7,X6),inverse(X6)),inverse(X8))))))),inverse(X)),inverse(X2))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X7,inverse(X)),inverse(X2))))))),
    inference(congruence,[status(thm)],[c55]) ).

cnf(c57,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X11,X10)),multiply(X10,X11))),multiply(inverse(multiply(X9,X8)),multiply(X9,inverse(multiply(multiply(multiply(X7,X6),inverse(X6)),inverse(X8))))))),inverse(X)),inverse(X2))))))),X) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X7,inverse(X)),inverse(X2))))))),X),
    inference(congruence,[status(thm)],[c56]) ).

cnf(c58,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X6,inverse(X)),inverse(X2))))))),X) = X6,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c59,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X11,X10)),multiply(X10,X11))),multiply(inverse(multiply(X9,X8)),multiply(X9,inverse(multiply(multiply(multiply(X7,X6),inverse(X6)),inverse(X8))))))),inverse(X)),inverse(X2))))))),X) = X7,
    inference(transitivity,[status(thm)],[c57,c58]) ).

cnf(c60,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(X2,X),inverse(X)),inverse(X3))))))) = X2,
    inference(transitivity,[status(thm)],[c4,c59]) ).

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

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

cnf(c63,plain,
    multiply(multiply(inverse(X7),X7),X6) = multiply(multiply(inverse(X7),X7),inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X6,X),inverse(X)),inverse(X2)))))))),
    inference(congruence,[status(thm)],[c62]) ).

cnf(c64,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X5)),multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X7))))))),inverse(X5))))))),X),inverse(X)) = inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X7))))))),
    inference(substitution,[status(thm)],[c28]) ).

cnf(c65,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X7))))))) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X5)),multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X7))))))),inverse(X5))))))),X),inverse(X)),
    inference(symmetry,[status(thm)],[c64]) ).

cnf(c66,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(X2,inverse(inverse(X))),inverse(X3))))))),inverse(X)) = X2,
    inference(substitution,[status(thm)],[c2]) ).

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

cnf(c68,plain,
    multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(multiply(X3,inverse(inverse(X2))),inverse(X4))))))),inverse(X2)))) = multiply(X,inverse(X3)),
    inference(congruence,[status(thm)],[c67]) ).

cnf(c69,plain,
    multiply(inverse(multiply(X,X2)),multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(multiply(X3,inverse(inverse(X2))),inverse(X4))))))),inverse(X2))))) = multiply(inverse(multiply(X,X2)),multiply(X,inverse(X3))),
    inference(congruence,[status(thm)],[c68]) ).

cnf(c70,plain,
    multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(multiply(X,X4)),multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(X5,inverse(inverse(X4))),inverse(X6))))))),inverse(X4)))))) = multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(multiply(X,X4)),multiply(X,inverse(X5)))),
    inference(congruence,[status(thm)],[c69]) ).

cnf(c71,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(multiply(X,X4)),multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(X5,inverse(inverse(X4))),inverse(X6))))))),inverse(X4))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(multiply(X,X4)),multiply(X,inverse(X5))))),
    inference(congruence,[status(thm)],[c70]) ).

cnf(c72,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X5)),multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X7))))))),inverse(X5))))))),X) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X5)),multiply(X2,inverse(X6))))),X),
    inference(congruence,[status(thm)],[c71]) ).

cnf(c73,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X5)),multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X7))))))),inverse(X5))))))),X),inverse(X)) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X5)),multiply(X2,inverse(X6))))),X),inverse(X)),
    inference(congruence,[status(thm)],[c72]) ).

cnf(c74,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X7))))))) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X5)),multiply(X2,inverse(X6))))),X),inverse(X)),
    inference(transitivity,[status(thm)],[c65,c73]) ).

cnf(c75,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X6,inverse(inverse(X7))),inverse(X))))))) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(X6))))),X5),inverse(X5)),
    inference(substitution,[status(thm)],[c74]) ).

cnf(c76,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(X6))))),X5),inverse(X5)) = inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X6,inverse(inverse(X7))),inverse(X))))))),
    inference(symmetry,[status(thm)],[c75]) ).

cnf(c77,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(X6))))),X5),inverse(X5)),inverse(X7)) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X6,inverse(inverse(X7))),inverse(X))))))),inverse(X7)),
    inference(congruence,[status(thm)],[c76]) ).

cnf(c78,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X5,inverse(inverse(X6))),inverse(X))))))),inverse(X6)) = X5,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c79,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(X2))))),X),inverse(X)),inverse(X3)) = X2,
    inference(transitivity,[status(thm)],[c77,c78]) ).

cnf(c80,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X6),X6)))))),X),inverse(X)),inverse(X2)) = multiply(inverse(X6),X6),
    inference(substitution,[status(thm)],[c79]) ).

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

cnf(c82,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X6),X6)),X),inverse(X)),inverse(X2))))))) = inverse(multiply(inverse(X6),X6)),
    inference(substitution,[status(thm)],[c60]) ).

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

cnf(c84,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X6),multiply(X7,X6))))))),X),inverse(X)),inverse(X2)) = multiply(inverse(X6),multiply(X7,X6)),
    inference(substitution,[status(thm)],[c79]) ).

cnf(c85,plain,
    multiply(inverse(X6),multiply(X7,X6)) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X6),multiply(X7,X6))))))),X),inverse(X)),inverse(X2)),
    inference(symmetry,[status(thm)],[c84]) ).

cnf(c86,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X6),multiply(X7,X6))),X),inverse(X)),inverse(X2))))))) = inverse(multiply(inverse(X6),multiply(X7,X6))),
    inference(substitution,[status(thm)],[c60]) ).

cnf(c87,plain,
    inverse(multiply(inverse(X6),multiply(X7,X6))) = inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X6),multiply(X7,X6))),X),inverse(X)),inverse(X2))))))),
    inference(symmetry,[status(thm)],[c86]) ).

cnf(c88,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))))))),X),inverse(X)),inverse(X2)) = multiply(inverse(multiply(X7,X6)),multiply(X6,X7)),
    inference(substitution,[status(thm)],[c79]) ).

cnf(c89,plain,
    multiply(inverse(multiply(X7,X6)),multiply(X6,X7)) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))))))),X),inverse(X)),inverse(X2)),
    inference(symmetry,[status(thm)],[c88]) ).

cnf(c90,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),X),inverse(X)),inverse(X2))))))) = inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),
    inference(substitution,[status(thm)],[c60]) ).

cnf(c91,plain,
    inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))) = inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),X),inverse(X)),inverse(X2))))))),
    inference(symmetry,[status(thm)],[c90]) ).

cnf(c92,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),X2),inverse(X2)) = multiply(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(X),X)),inverse(multiply(inverse(X),X))),
    inference(substitution,[status(thm)],[c39]) ).

cnf(c93,plain,
    multiply(multiply(X2,X),inverse(X)) = multiply(multiply(X2,inverse(X3)),inverse(inverse(X3))),
    inference(substitution,[status(thm)],[c39]) ).

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

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

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

cnf(c97,plain,
    multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(multiply(multiply(X2,X),inverse(X)))))) = multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(multiply(multiply(X2,inverse(X3)),inverse(inverse(X3))))))),
    inference(congruence,[status(thm)],[c96]) ).

cnf(c98,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(multiply(multiply(X2,X),inverse(X))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(multiply(multiply(X2,inverse(X3)),inverse(inverse(X3)))))))),
    inference(congruence,[status(thm)],[c97]) ).

cnf(c99,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(multiply(multiply(X2,X),inverse(X))))))),X3) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(multiply(multiply(X2,inverse(X3)),inverse(inverse(X3)))))))),X3),
    inference(congruence,[status(thm)],[c98]) ).

cnf(c100,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(multiply(X,inverse(X2)),inverse(inverse(X2)))))))),X2) = X,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c101,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(multiply(multiply(X2,X),inverse(X))))))),X3) = X2,
    inference(transitivity,[status(thm)],[c99,c100]) ).

cnf(c102,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,X6)),multiply(X6,X))),multiply(inverse(multiply(X5,inverse(X2))),multiply(X5,inverse(multiply(multiply(X3,X4),inverse(X4))))))),X2) = X3,
    inference(substitution,[status(thm)],[c101]) ).

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

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

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

cnf(c106,plain,
    multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(X6),X6)) = multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X5))),multiply(X2,inverse(multiply(multiply(X6,X),inverse(X))))))),X5)),X6)),
    inference(congruence,[status(thm)],[c105]) ).

cnf(c107,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X5))),multiply(X2,inverse(multiply(multiply(X6,X),inverse(X))))))),X5) = X6,
    inference(substitution,[status(thm)],[c101]) ).

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

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

cnf(c110,plain,
    multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X5))),multiply(X2,inverse(multiply(multiply(X6,X),inverse(X))))))),X5)),X6)) = multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X5))),multiply(X2,inverse(multiply(multiply(X6,X),inverse(X))))))),X5)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X5))),multiply(X2,inverse(multiply(multiply(X6,X),inverse(X))))))),X5))),
    inference(congruence,[status(thm)],[c109]) ).

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

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

cnf(c113,plain,
    multiply(X6,X7) = multiply(X6,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X7,X),inverse(X)),inverse(X2)))))))),
    inference(congruence,[status(thm)],[c112]) ).

cnf(c114,plain,
    multiply(inverse(multiply(X6,X8)),multiply(X6,X7)) = multiply(inverse(multiply(X6,X8)),multiply(X6,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X7,X),inverse(X)),inverse(X2))))))))),
    inference(congruence,[status(thm)],[c113]) ).

cnf(c115,plain,
    multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X10)),multiply(X6,X9))) = multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X10)),multiply(X6,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X9,X),inverse(X)),inverse(X2)))))))))),
    inference(congruence,[status(thm)],[c114]) ).

cnf(c116,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X10)),multiply(X6,inverse(X9))))))))),X),inverse(X)),inverse(X2)) = multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X10)),multiply(X6,inverse(X9)))),
    inference(substitution,[status(thm)],[c79]) ).

cnf(c117,plain,
    multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X10)),multiply(X6,inverse(X9)))) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X10)),multiply(X6,inverse(X9))))))))),X),inverse(X)),inverse(X2)),
    inference(symmetry,[status(thm)],[c116]) ).

cnf(c118,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X6)),multiply(X2,inverse(X5))))),X),inverse(X)),inverse(X6)) = X5,
    inference(substitution,[status(thm)],[c79]) ).

cnf(c119,plain,
    X5 = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X6)),multiply(X2,inverse(X5))))),X),inverse(X)),inverse(X6)),
    inference(symmetry,[status(thm)],[c118]) ).

cnf(c120,plain,
    inverse(X5) = inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X6)),multiply(X2,inverse(X5))))),X),inverse(X)),inverse(X6))),
    inference(congruence,[status(thm)],[c119]) ).

cnf(c121,plain,
    multiply(X5,inverse(X6)) = multiply(X5,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X7)),multiply(X2,inverse(X6))))),X),inverse(X)),inverse(X7)))),
    inference(congruence,[status(thm)],[c120]) ).

cnf(c122,plain,
    multiply(inverse(multiply(X5,X7)),multiply(X5,inverse(X6))) = multiply(inverse(multiply(X5,X7)),multiply(X5,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X7)),multiply(X2,inverse(X6))))),X),inverse(X)),inverse(X7))))),
    inference(congruence,[status(thm)],[c121]) ).

cnf(c123,plain,
    multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X9)),multiply(X5,inverse(X8)))) = multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X9)),multiply(X5,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X9)),multiply(X2,inverse(X8))))),X),inverse(X)),inverse(X9)))))),
    inference(congruence,[status(thm)],[c122]) ).

cnf(c124,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X9)),multiply(X5,inverse(X8))))) = inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X9)),multiply(X5,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X9)),multiply(X2,inverse(X8))))),X),inverse(X)),inverse(X9))))))),
    inference(congruence,[status(thm)],[c123]) ).

cnf(c125,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X6,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))) = X6,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c126,plain,
    X6 = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X6,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))),
    inference(symmetry,[status(thm)],[c125]) ).

cnf(c127,plain,
    multiply(X7,inverse(X6)) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X7,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))),inverse(X6)),
    inference(congruence,[status(thm)],[c126]) ).

cnf(c128,plain,
    inverse(multiply(X7,inverse(X6))) = inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X7,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))),inverse(X6))),
    inference(congruence,[status(thm)],[c127]) ).

cnf(c129,plain,
    multiply(X7,inverse(multiply(X8,inverse(X6)))) = multiply(X7,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X8,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))),inverse(X6)))),
    inference(congruence,[status(thm)],[c128]) ).

cnf(c130,plain,
    multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(X8,inverse(X6))))) = multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X8,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))),inverse(X6))))),
    inference(congruence,[status(thm)],[c129]) ).

cnf(c131,plain,
    multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(X10,inverse(X6)))))) = multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X10,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))),inverse(X6)))))),
    inference(congruence,[status(thm)],[c130]) ).

cnf(c132,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(X10,inverse(X6))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X10,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))),inverse(X6))))))),
    inference(congruence,[status(thm)],[c131]) ).

cnf(c133,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(X11,inverse(inverse(inverse(X2)))),inverse(X3))))))),inverse(inverse(X2))),inverse(X7))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,X14)),multiply(X14,X))),multiply(inverse(multiply(X13,X12)),multiply(X13,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(X11,inverse(inverse(inverse(X2)))),inverse(X3))))))),inverse(X12))))))),X2),
    inference(substitution,[status(thm)],[c19]) ).

cnf(c134,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X14,X13)),multiply(X13,X14))),multiply(inverse(multiply(X12,X11)),multiply(X12,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(X10,inverse(inverse(inverse(X5)))),inverse(X6))))))),inverse(inverse(X5))),inverse(X11))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(X10,inverse(inverse(inverse(X5)))),inverse(X6))))))),inverse(X))))))),X5),
    inference(substitution,[status(thm)],[c19]) ).

cnf(c135,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(X10,inverse(inverse(inverse(X5)))),inverse(X6))))))),inverse(X))))))),X5) = inverse(multiply(inverse(multiply(inverse(multiply(X14,X13)),multiply(X13,X14))),multiply(inverse(multiply(X12,X11)),multiply(X12,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(X10,inverse(inverse(inverse(X5)))),inverse(X6))))))),inverse(inverse(X5))),inverse(X11))))))),
    inference(symmetry,[status(thm)],[c134]) ).

cnf(c136,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X6,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))) = X6,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c137,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X6,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))),inverse(X7)) = multiply(X6,inverse(X7)),
    inference(congruence,[status(thm)],[c136]) ).

cnf(c138,plain,
    inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X6,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))),inverse(X7))) = inverse(multiply(X6,inverse(X7))),
    inference(congruence,[status(thm)],[c137]) ).

cnf(c139,plain,
    multiply(X8,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X6,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))),inverse(X7)))) = multiply(X8,inverse(multiply(X6,inverse(X7)))),
    inference(congruence,[status(thm)],[c138]) ).

cnf(c140,plain,
    multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X6,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))),inverse(X7))))) = multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(X6,inverse(X7))))),
    inference(congruence,[status(thm)],[c139]) ).

cnf(c141,plain,
    multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X6,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))),inverse(X7)))))) = multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(X6,inverse(X7)))))),
    inference(congruence,[status(thm)],[c140]) ).

cnf(c142,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X6,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))),inverse(X7))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(X6,inverse(X7))))))),
    inference(congruence,[status(thm)],[c141]) ).

cnf(c143,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(X10,inverse(inverse(inverse(X5)))),inverse(X6))))))),inverse(X))))))),X5) = inverse(multiply(inverse(multiply(inverse(multiply(X14,X13)),multiply(X13,X14))),multiply(inverse(multiply(X12,X11)),multiply(X12,inverse(multiply(X10,inverse(X11))))))),
    inference(transitivity,[status(thm)],[c135,c142]) ).

cnf(c144,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X10,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))),inverse(X6))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X14,X13)),multiply(X13,X14))),multiply(inverse(multiply(X12,X11)),multiply(X12,inverse(multiply(X10,inverse(X11))))))),
    inference(transitivity,[status(thm)],[c133,c143]) ).

cnf(c145,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(X5,inverse(X))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(X5,inverse(X6))))))),
    inference(transitivity,[status(thm)],[c132,c144]) ).

cnf(c146,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X9)),multiply(X5,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X9)),multiply(X2,inverse(X8))))),X),inverse(X)),inverse(X9))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X12,X11)),multiply(X11,X12))),multiply(inverse(multiply(X10,X9)),multiply(X10,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X9)),multiply(X2,inverse(X8))))),X),inverse(X)),inverse(X9))))))),
    inference(substitution,[status(thm)],[c145]) ).

cnf(c147,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X6)),multiply(X2,inverse(X5))))),X),inverse(X)),inverse(X6)) = X5,
    inference(substitution,[status(thm)],[c79]) ).

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

cnf(c149,plain,
    multiply(X7,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X6)),multiply(X2,inverse(X5))))),X),inverse(X)),inverse(X6)))) = multiply(X7,inverse(X5)),
    inference(congruence,[status(thm)],[c148]) ).

cnf(c150,plain,
    multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X6)),multiply(X2,inverse(X5))))),X),inverse(X)),inverse(X6))))) = multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(X5))),
    inference(congruence,[status(thm)],[c149]) ).

cnf(c151,plain,
    multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X6)),multiply(X2,inverse(X5))))),X),inverse(X)),inverse(X6)))))) = multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(X5)))),
    inference(congruence,[status(thm)],[c150]) ).

cnf(c152,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X6)),multiply(X2,inverse(X5))))),X),inverse(X)),inverse(X6))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(X5))))),
    inference(congruence,[status(thm)],[c151]) ).

cnf(c153,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X9)),multiply(X5,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X9)),multiply(X2,inverse(X8))))),X),inverse(X)),inverse(X9))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X12,X11)),multiply(X11,X12))),multiply(inverse(multiply(X10,X9)),multiply(X10,inverse(X8))))),
    inference(transitivity,[status(thm)],[c146,c152]) ).

cnf(c154,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(multiply(X,X5)),multiply(X,inverse(X4))))) = inverse(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X5)),multiply(X6,inverse(X4))))),
    inference(transitivity,[status(thm)],[c124,c153]) ).

cnf(c155,plain,
    multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X6)),multiply(X2,inverse(X5)))))) = multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(X5)))))),
    inference(congruence,[status(thm)],[c154]) ).

cnf(c156,plain,
    multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X7)),multiply(X3,inverse(X6))))))) = multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(X6))))))),
    inference(congruence,[status(thm)],[c155]) ).

cnf(c157,plain,
    multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X9)),multiply(X5,inverse(X8)))))))) = multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X12,X11)),multiply(X11,X12))),multiply(inverse(multiply(X10,X9)),multiply(X10,inverse(X8)))))))),
    inference(congruence,[status(thm)],[c156]) ).

cnf(c158,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X9)),multiply(X5,inverse(X8))))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X12,X11)),multiply(X11,X12))),multiply(inverse(multiply(X10,X9)),multiply(X10,inverse(X8))))))))),
    inference(congruence,[status(thm)],[c157]) ).

cnf(c159,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X10)),multiply(X6,inverse(X9))))))))),X) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X13,X12)),multiply(X12,X13))),multiply(inverse(multiply(X11,X10)),multiply(X11,inverse(X9))))))))),X),
    inference(congruence,[status(thm)],[c158]) ).

cnf(c160,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X10)),multiply(X6,inverse(X9))))))))),X),inverse(X)) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X13,X12)),multiply(X12,X13))),multiply(inverse(multiply(X11,X10)),multiply(X11,inverse(X9))))))))),X),inverse(X)),
    inference(congruence,[status(thm)],[c159]) ).

cnf(c161,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X10)),multiply(X6,inverse(X9))))))))),X),inverse(X)),inverse(X2)) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X13,X12)),multiply(X12,X13))),multiply(inverse(multiply(X11,X10)),multiply(X11,inverse(X9))))))))),X),inverse(X)),inverse(X2)),
    inference(congruence,[status(thm)],[c160]) ).

cnf(c162,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(X6))))))))),X),inverse(X)),inverse(X2)) = multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(X6)))),
    inference(substitution,[status(thm)],[c79]) ).

cnf(c163,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X10)),multiply(X6,inverse(X9))))))))),X),inverse(X)),inverse(X2)) = multiply(inverse(multiply(inverse(multiply(X13,X12)),multiply(X12,X13))),multiply(inverse(multiply(X11,X10)),multiply(X11,inverse(X9)))),
    inference(transitivity,[status(thm)],[c161,c162]) ).

cnf(c164,plain,
    multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(multiply(X,X5)),multiply(X,inverse(X4)))) = multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X5)),multiply(X6,inverse(X4)))),
    inference(transitivity,[status(thm)],[c117,c163]) ).

cnf(c165,plain,
    multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X10)),multiply(X6,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X9,X),inverse(X)),inverse(X2)))))))))) = multiply(inverse(multiply(inverse(multiply(X13,X12)),multiply(X12,X13))),multiply(inverse(multiply(X11,X10)),multiply(X11,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X9,X),inverse(X)),inverse(X2)))))))))),
    inference(substitution,[status(thm)],[c164]) ).

cnf(c166,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X6,X),inverse(X)),inverse(X2))))))) = X6,
    inference(substitution,[status(thm)],[c60]) ).

cnf(c167,plain,
    multiply(X7,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X6,X),inverse(X)),inverse(X2)))))))) = multiply(X7,X6),
    inference(congruence,[status(thm)],[c166]) ).

cnf(c168,plain,
    multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X6,X),inverse(X)),inverse(X2))))))))) = multiply(inverse(multiply(X8,X7)),multiply(X8,X6)),
    inference(congruence,[status(thm)],[c167]) ).

cnf(c169,plain,
    multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X6,X),inverse(X)),inverse(X2)))))))))) = multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,X6))),
    inference(congruence,[status(thm)],[c168]) ).

cnf(c170,plain,
    multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X10)),multiply(X6,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X9,X),inverse(X)),inverse(X2)))))))))) = multiply(inverse(multiply(inverse(multiply(X13,X12)),multiply(X12,X13))),multiply(inverse(multiply(X11,X10)),multiply(X11,X9))),
    inference(transitivity,[status(thm)],[c165,c169]) ).

cnf(c171,plain,
    multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(multiply(X,X5)),multiply(X,X4))) = multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X5)),multiply(X6,X4))),
    inference(transitivity,[status(thm)],[c115,c170]) ).

cnf(c172,plain,
    multiply(inverse(multiply(inverse(multiply(X12,X11)),multiply(X11,X12))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X6))),multiply(X2,inverse(multiply(multiply(X10,X),inverse(X))))))),X6)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X6))),multiply(X2,inverse(multiply(multiply(X10,X),inverse(X))))))),X6))) = multiply(inverse(multiply(inverse(multiply(X15,X14)),multiply(X14,X15))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,inverse(X6))),multiply(X7,inverse(multiply(multiply(X13,X5),inverse(X5))))))),X6)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,inverse(X6))),multiply(X7,inverse(multiply(multiply(X13,X5),inverse(X5))))))),X6))),
    inference(substitution,[status(thm)],[c171]) ).

cnf(c173,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(multiply(X6,X),inverse(X))))))),X2) = X6,
    inference(substitution,[status(thm)],[c101]) ).

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

cnf(c175,plain,
    multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(multiply(X6,X),inverse(X))))))),X2)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(multiply(X6,X),inverse(X))))))),X2))) = multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(multiply(X6,X),inverse(X))))))),X2)),X6)),
    inference(congruence,[status(thm)],[c174]) ).

cnf(c176,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(multiply(X6,X),inverse(X))))))),X2) = X6,
    inference(substitution,[status(thm)],[c101]) ).

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

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

cnf(c179,plain,
    multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(multiply(X6,X),inverse(X))))))),X2)),X6)) = multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(X6),X6)),
    inference(congruence,[status(thm)],[c178]) ).

cnf(c180,plain,
    multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(multiply(X6,X),inverse(X))))))),X2)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(multiply(X6,X),inverse(X))))))),X2))) = multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(X6),X6)),
    inference(transitivity,[status(thm)],[c175,c179]) ).

cnf(c181,plain,
    multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X5))),multiply(X2,inverse(multiply(multiply(X6,X),inverse(X))))))),X5)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X5))),multiply(X2,inverse(multiply(multiply(X6,X),inverse(X))))))),X5))) = multiply(inverse(multiply(inverse(multiply(X11,X10)),multiply(X10,X11))),multiply(inverse(X9),X9)),
    inference(transitivity,[status(thm)],[c172,c180]) ).

cnf(c182,plain,
    multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X5))),multiply(X2,inverse(multiply(multiply(X6,X),inverse(X))))))),X5)),X6)) = multiply(inverse(multiply(inverse(multiply(X11,X10)),multiply(X10,X11))),multiply(inverse(X9),X9)),
    inference(transitivity,[status(thm)],[c110,c181]) ).

cnf(c183,plain,
    multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(X),X)) = multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(X4),X4)),
    inference(transitivity,[status(thm)],[c106,c182]) ).

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

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

cnf(c186,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),X2),inverse(X2)) = multiply(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(X),X)),inverse(multiply(inverse(X),X))),
    inference(substitution,[status(thm)],[c39]) ).

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

cnf(c188,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(X),X)),inverse(multiply(inverse(X),X))) = multiply(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),X4),inverse(X4)),
    inference(transitivity,[status(thm)],[c185,c187]) ).

cnf(c189,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),X),inverse(X)) = multiply(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),X4),inverse(X4)),
    inference(transitivity,[status(thm)],[c92,c188]) ).

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

cnf(c191,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),X),inverse(X)),inverse(X3)) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),X2),inverse(X2)),inverse(X3)),
    inference(congruence,[status(thm)],[c190]) ).

cnf(c192,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),X),inverse(X)),inverse(X3))) = inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),X2),inverse(X2)),inverse(X3))),
    inference(congruence,[status(thm)],[c191]) ).

cnf(c193,plain,
    multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),X),inverse(X)),inverse(X3)))) = multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),X2),inverse(X2)),inverse(X3)))),
    inference(congruence,[status(thm)],[c192]) ).

cnf(c194,plain,
    multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),X),inverse(X)),inverse(X3))))) = multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),X2),inverse(X2)),inverse(X3))))),
    inference(congruence,[status(thm)],[c193]) ).

cnf(c195,plain,
    multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),X),inverse(X)),inverse(X3)))))) = multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),X2),inverse(X2)),inverse(X3)))))),
    inference(congruence,[status(thm)],[c194]) ).

cnf(c196,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),X),inverse(X)),inverse(X3))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),X2),inverse(X2)),inverse(X3))))))),
    inference(congruence,[status(thm)],[c195]) ).

cnf(c197,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),X),inverse(X)),inverse(X2))))))) = inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),
    inference(substitution,[status(thm)],[c60]) ).

cnf(c198,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),X),inverse(X)),inverse(X2))))))) = inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),
    inference(transitivity,[status(thm)],[c196,c197]) ).

cnf(c199,plain,
    inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))) = inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),
    inference(transitivity,[status(thm)],[c91,c198]) ).

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

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

cnf(c202,plain,
    multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6)))))) = multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8)))))),
    inference(congruence,[status(thm)],[c201]) ).

cnf(c203,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))))))),
    inference(congruence,[status(thm)],[c202]) ).

cnf(c204,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))))))),X) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))))))),X),
    inference(congruence,[status(thm)],[c203]) ).

cnf(c205,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))))))),X),inverse(X)) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))))))),X),inverse(X)),
    inference(congruence,[status(thm)],[c204]) ).

cnf(c206,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))))))),X),inverse(X)),inverse(X2)) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))))))),X),inverse(X)),inverse(X2)),
    inference(congruence,[status(thm)],[c205]) ).

cnf(c207,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))))))),X),inverse(X)),inverse(X2)) = multiply(inverse(multiply(X7,X6)),multiply(X6,X7)),
    inference(substitution,[status(thm)],[c79]) ).

cnf(c208,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))))))),X),inverse(X)),inverse(X2)) = multiply(inverse(multiply(X9,X8)),multiply(X8,X9)),
    inference(transitivity,[status(thm)],[c206,c207]) ).

cnf(c209,plain,
    multiply(inverse(multiply(X2,X)),multiply(X,X2)) = multiply(inverse(multiply(X4,X3)),multiply(X3,X4)),
    inference(transitivity,[status(thm)],[c89,c208]) ).

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

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

cnf(c212,plain,
    multiply(multiply(inverse(multiply(X2,X3)),X),inverse(X)) = multiply(multiply(inverse(multiply(X2,X3)),multiply(X3,X2)),inverse(multiply(X3,X2))),
    inference(substitution,[status(thm)],[c39]) ).

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

cnf(c214,plain,
    multiply(multiply(inverse(multiply(X5,X4)),multiply(X4,X5)),inverse(multiply(X3,X2))) = multiply(multiply(inverse(multiply(X2,X3)),X),inverse(X)),
    inference(transitivity,[status(thm)],[c211,c213]) ).

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

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

cnf(c217,plain,
    multiply(multiply(X2,X),inverse(X)) = multiply(multiply(X2,X3),inverse(X3)),
    inference(substitution,[status(thm)],[c39]) ).

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

cnf(c219,plain,
    multiply(multiply(inverse(multiply(X2,X)),multiply(X,X2)),inverse(multiply(multiply(X4,X3),inverse(X3)))) = multiply(multiply(inverse(multiply(X2,X)),multiply(X,X2)),inverse(multiply(multiply(X4,X5),inverse(X5)))),
    inference(congruence,[status(thm)],[c218]) ).

cnf(c220,plain,
    multiply(multiply(inverse(multiply(X2,X)),multiply(X,X2)),inverse(multiply(multiply(X4,X5),inverse(X5)))) = multiply(multiply(inverse(multiply(inverse(X5),multiply(X4,X5))),X3),inverse(X3)),
    inference(substitution,[status(thm)],[c214]) ).

cnf(c221,plain,
    multiply(multiply(inverse(multiply(X2,X)),multiply(X,X2)),inverse(multiply(multiply(X5,X3),inverse(X3)))) = multiply(multiply(inverse(multiply(inverse(X6),multiply(X5,X6))),X4),inverse(X4)),
    inference(transitivity,[status(thm)],[c219,c220]) ).

cnf(c222,plain,
    multiply(multiply(inverse(multiply(inverse(X2),multiply(X4,X2))),X),inverse(X)) = multiply(multiply(inverse(multiply(inverse(X5),multiply(X4,X5))),X3),inverse(X3)),
    inference(transitivity,[status(thm)],[c216,c221]) ).

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

cnf(c224,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(X4),multiply(X5,X4))),X),inverse(X)),inverse(X3)) = multiply(multiply(multiply(inverse(multiply(inverse(X6),multiply(X5,X6))),X2),inverse(X2)),inverse(X3)),
    inference(congruence,[status(thm)],[c223]) ).

cnf(c225,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(inverse(X4),multiply(X5,X4))),X),inverse(X)),inverse(X3))) = inverse(multiply(multiply(multiply(inverse(multiply(inverse(X6),multiply(X5,X6))),X2),inverse(X2)),inverse(X3))),
    inference(congruence,[status(thm)],[c224]) ).

cnf(c226,plain,
    multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X5),multiply(X6,X5))),X),inverse(X)),inverse(X3)))) = multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X7),multiply(X6,X7))),X2),inverse(X2)),inverse(X3)))),
    inference(congruence,[status(thm)],[c225]) ).

cnf(c227,plain,
    multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X5),multiply(X6,X5))),X),inverse(X)),inverse(X3))))) = multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X7),multiply(X6,X7))),X2),inverse(X2)),inverse(X3))))),
    inference(congruence,[status(thm)],[c226]) ).

cnf(c228,plain,
    multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X7),multiply(X8,X7))),X),inverse(X)),inverse(X3)))))) = multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X9),multiply(X8,X9))),X2),inverse(X2)),inverse(X3)))))),
    inference(congruence,[status(thm)],[c227]) ).

cnf(c229,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X7),multiply(X8,X7))),X),inverse(X)),inverse(X3))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X9),multiply(X8,X9))),X2),inverse(X2)),inverse(X3))))))),
    inference(congruence,[status(thm)],[c228]) ).

cnf(c230,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X7),multiply(X6,X7))),X),inverse(X)),inverse(X2))))))) = inverse(multiply(inverse(X7),multiply(X6,X7))),
    inference(substitution,[status(thm)],[c60]) ).

cnf(c231,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X6),multiply(X7,X6))),X),inverse(X)),inverse(X2))))))) = inverse(multiply(inverse(X8),multiply(X7,X8))),
    inference(transitivity,[status(thm)],[c229,c230]) ).

cnf(c232,plain,
    inverse(multiply(inverse(X),multiply(X2,X))) = inverse(multiply(inverse(X3),multiply(X2,X3))),
    inference(transitivity,[status(thm)],[c87,c231]) ).

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

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

cnf(c235,plain,
    multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(X5),multiply(X6,X5)))))) = multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(X7),multiply(X6,X7)))))),
    inference(congruence,[status(thm)],[c234]) ).

cnf(c236,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(X5),multiply(X6,X5))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(X7),multiply(X6,X7))))))),
    inference(congruence,[status(thm)],[c235]) ).

cnf(c237,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X6),multiply(X7,X6))))))),X) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X8),multiply(X7,X8))))))),X),
    inference(congruence,[status(thm)],[c236]) ).

cnf(c238,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X6),multiply(X7,X6))))))),X),inverse(X)) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X8),multiply(X7,X8))))))),X),inverse(X)),
    inference(congruence,[status(thm)],[c237]) ).

cnf(c239,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X6),multiply(X7,X6))))))),X),inverse(X)),inverse(X2)) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X8),multiply(X7,X8))))))),X),inverse(X)),inverse(X2)),
    inference(congruence,[status(thm)],[c238]) ).

cnf(c240,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X7),multiply(X6,X7))))))),X),inverse(X)),inverse(X2)) = multiply(inverse(X7),multiply(X6,X7)),
    inference(substitution,[status(thm)],[c79]) ).

cnf(c241,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X6),multiply(X7,X6))))))),X),inverse(X)),inverse(X2)) = multiply(inverse(X8),multiply(X7,X8)),
    inference(transitivity,[status(thm)],[c239,c240]) ).

cnf(c242,plain,
    multiply(inverse(X),multiply(X2,X)) = multiply(inverse(X3),multiply(X2,X3)),
    inference(transitivity,[status(thm)],[c85,c241]) ).

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

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

cnf(c245,plain,
    multiply(multiply(inverse(X2),X),inverse(X)) = multiply(multiply(inverse(X2),multiply(X3,X2)),inverse(multiply(X3,X2))),
    inference(substitution,[status(thm)],[c39]) ).

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

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

cnf(c248,plain,
    multiply(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),X3)),inverse(multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),multiply(inverse(X5),X5)))) = multiply(multiply(inverse(multiply(inverse(X5),X5)),X4),inverse(X4)),
    inference(substitution,[status(thm)],[c247]) ).

cnf(c249,plain,
    multiply(multiply(inverse(multiply(inverse(X5),X5)),X4),inverse(X4)) = multiply(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),X3)),inverse(multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),multiply(inverse(X5),X5)))),
    inference(symmetry,[status(thm)],[c248]) ).

cnf(c250,plain,
    multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),multiply(inverse(X4),X4)) = multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),multiply(inverse(X3),X3)),
    inference(substitution,[status(thm)],[c183]) ).

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

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

cnf(c253,plain,
    multiply(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),X3)),inverse(multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),multiply(inverse(X4),X4)))) = multiply(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),X3)),inverse(multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),multiply(inverse(X5),X5)))),
    inference(congruence,[status(thm)],[c252]) ).

cnf(c254,plain,
    multiply(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),X3)),inverse(multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),multiply(inverse(X5),X5)))) = multiply(multiply(inverse(multiply(inverse(X5),X5)),X4),inverse(X4)),
    inference(substitution,[status(thm)],[c247]) ).

cnf(c255,plain,
    multiply(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),X3)),inverse(multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),multiply(inverse(X4),X4)))) = multiply(multiply(inverse(multiply(inverse(X6),X6)),X5),inverse(X5)),
    inference(transitivity,[status(thm)],[c253,c254]) ).

cnf(c256,plain,
    multiply(multiply(inverse(multiply(inverse(X2),X2)),X),inverse(X)) = multiply(multiply(inverse(multiply(inverse(X4),X4)),X3),inverse(X3)),
    inference(transitivity,[status(thm)],[c249,c255]) ).

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

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

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

cnf(c260,plain,
    multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X5),X5)),X),inverse(X)),inverse(X3)))) = multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X6),X6)),X2),inverse(X2)),inverse(X3)))),
    inference(congruence,[status(thm)],[c259]) ).

cnf(c261,plain,
    multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X5),X5)),X),inverse(X)),inverse(X3))))) = multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X6),X6)),X2),inverse(X2)),inverse(X3))))),
    inference(congruence,[status(thm)],[c260]) ).

cnf(c262,plain,
    multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X7),X7)),X),inverse(X)),inverse(X3)))))) = multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X8),X8)),X2),inverse(X2)),inverse(X3)))))),
    inference(congruence,[status(thm)],[c261]) ).

cnf(c263,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X7),X7)),X),inverse(X)),inverse(X3))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X8),X8)),X2),inverse(X2)),inverse(X3))))))),
    inference(congruence,[status(thm)],[c262]) ).

cnf(c264,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X6),X6)),X),inverse(X)),inverse(X2))))))) = inverse(multiply(inverse(X6),X6)),
    inference(substitution,[status(thm)],[c60]) ).

cnf(c265,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X6),X6)),X),inverse(X)),inverse(X2))))))) = inverse(multiply(inverse(X7),X7)),
    inference(transitivity,[status(thm)],[c263,c264]) ).

cnf(c266,plain,
    inverse(multiply(inverse(X),X)) = inverse(multiply(inverse(X2),X2)),
    inference(transitivity,[status(thm)],[c83,c265]) ).

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

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

cnf(c269,plain,
    multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(X5),X5))))) = multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(X6),X6))))),
    inference(congruence,[status(thm)],[c268]) ).

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

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

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

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

cnf(c274,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X6),X6)))))),X),inverse(X)),inverse(X2)) = multiply(inverse(X6),X6),
    inference(substitution,[status(thm)],[c79]) ).

cnf(c275,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X6),X6)))))),X),inverse(X)),inverse(X2)) = multiply(inverse(X7),X7),
    inference(transitivity,[status(thm)],[c273,c274]) ).

cnf(c276,plain,
    multiply(inverse(X),X) = multiply(inverse(X2),X2),
    inference(transitivity,[status(thm)],[c81,c275]) ).

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

cnf(c278,plain,
    multiply(multiply(inverse(X2),X),inverse(X)) = multiply(multiply(inverse(X2),X2),inverse(X2)),
    inference(substitution,[status(thm)],[c39]) ).

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

cnf(c280,plain,
    multiply(multiply(inverse(X),X),inverse(X3)) = multiply(multiply(inverse(X3),X2),inverse(X2)),
    inference(transitivity,[status(thm)],[c277,c279]) ).

cnf(c281,plain,
    multiply(multiply(inverse(X8),X8),inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X7,X),inverse(X)),inverse(X2)))))))) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X7,X),inverse(X)),inverse(X2))))))),X6),inverse(X6)),
    inference(substitution,[status(thm)],[c280]) ).

cnf(c282,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X7,X),inverse(X)),inverse(X2))))))),X6) = multiply(X7,X6),
    inference(substitution,[status(thm)],[c49]) ).

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

cnf(c284,plain,
    multiply(multiply(inverse(X8),X8),inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X7,X),inverse(X)),inverse(X2)))))))) = multiply(multiply(X7,X6),inverse(X6)),
    inference(transitivity,[status(thm)],[c281,c283]) ).

cnf(c285,plain,
    multiply(multiply(inverse(X3),X3),X2) = multiply(multiply(X2,X),inverse(X)),
    inference(transitivity,[status(thm)],[c63,c284]) ).

cnf(c286,plain,
    multiply(multiply(inverse(b2),b2),a2) = multiply(multiply(a2,X),inverse(X)),
    inference(substitution,[status(thm)],[c285]) ).

cnf(c287,plain,
    multiply(multiply(X2,X),inverse(X)) = multiply(multiply(X2,inverse(inverse(inverse(X2)))),inverse(inverse(inverse(inverse(X2))))),
    inference(substitution,[status(thm)],[c39]) ).

cnf(c288,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(X7),multiply(multiply(X7,X6),inverse(X6))),inverse(X)),inverse(X2))))))),X) = multiply(inverse(X7),multiply(multiply(X7,X6),inverse(X6))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c289,plain,
    multiply(inverse(X7),multiply(multiply(X7,X6),inverse(X6))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(X7),multiply(multiply(X7,X6),inverse(X6))),inverse(X)),inverse(X2))))))),X),
    inference(symmetry,[status(thm)],[c288]) ).

cnf(c290,plain,
    multiply(multiply(inverse(X),X),X3) = multiply(multiply(X3,X2),inverse(X2)),
    inference(substitution,[status(thm)],[c285]) ).

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

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

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

cnf(c294,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X7,X),inverse(X)),inverse(X2))))))),X6) = multiply(X7,X6),
    inference(substitution,[status(thm)],[c49]) ).

cnf(c295,plain,
    multiply(X7,X6) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X7,X),inverse(X)),inverse(X2))))))),X6),
    inference(symmetry,[status(thm)],[c294]) ).

cnf(c296,plain,
    multiply(inverse(X6),multiply(X7,X6)) = multiply(inverse(X6),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X7,X),inverse(X)),inverse(X2))))))),X6)),
    inference(congruence,[status(thm)],[c295]) ).

cnf(c297,plain,
    multiply(inverse(X),multiply(inverse(X2),X)) = multiply(inverse(X2),multiply(inverse(X2),X2)),
    inference(substitution,[status(thm)],[c242]) ).

cnf(c298,plain,
    multiply(inverse(X2),X2) = multiply(inverse(X),X),
    inference(symmetry,[status(thm)],[c276]) ).

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

cnf(c300,plain,
    multiply(inverse(X),multiply(inverse(X3),X)) = multiply(inverse(X3),multiply(inverse(X2),X2)),
    inference(transitivity,[status(thm)],[c297,c299]) ).

cnf(c301,plain,
    multiply(inverse(X6),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X8,X),inverse(X)),inverse(X2))))))),X6)) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X8,X),inverse(X)),inverse(X2))))))),multiply(inverse(X7),X7)),
    inference(substitution,[status(thm)],[c300]) ).

cnf(c302,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X7,X),inverse(X)),inverse(X2))))))),multiply(inverse(X6),X6)) = multiply(X7,multiply(inverse(X6),X6)),
    inference(substitution,[status(thm)],[c49]) ).

cnf(c303,plain,
    multiply(inverse(X6),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X8,X),inverse(X)),inverse(X2))))))),X6)) = multiply(X8,multiply(inverse(X7),X7)),
    inference(transitivity,[status(thm)],[c301,c302]) ).

cnf(c304,plain,
    multiply(inverse(X),multiply(X3,X)) = multiply(X3,multiply(inverse(X2),X2)),
    inference(transitivity,[status(thm)],[c296,c303]) ).

cnf(c305,plain,
    multiply(inverse(X3),multiply(multiply(inverse(X2),X2),X3)) = multiply(multiply(inverse(X2),X2),multiply(inverse(X),X)),
    inference(substitution,[status(thm)],[c304]) ).

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

cnf(c307,plain,
    multiply(inverse(X),multiply(X3,X)) = multiply(inverse(X2),multiply(X3,X2)),
    inference(substitution,[status(thm)],[c242]) ).

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

cnf(c309,plain,
    multiply(inverse(X),multiply(inverse(X2),X)) = multiply(inverse(multiply(X3,X2)),multiply(inverse(X2),multiply(X3,X2))),
    inference(substitution,[status(thm)],[c242]) ).

cnf(c310,plain,
    multiply(inverse(multiply(X3,X2)),multiply(inverse(X2),multiply(X3,X2))) = multiply(inverse(X),multiply(inverse(X2),X)),
    inference(symmetry,[status(thm)],[c309]) ).

cnf(c311,plain,
    multiply(inverse(multiply(X4,X3)),multiply(inverse(X2),multiply(X4,X2))) = multiply(inverse(X),multiply(inverse(X3),X)),
    inference(transitivity,[status(thm)],[c308,c310]) ).

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

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

cnf(c314,plain,
    multiply(inverse(X),X) = multiply(inverse(multiply(inverse(X2),multiply(inverse(X2),X2))),multiply(inverse(X2),multiply(inverse(X2),X2))),
    inference(substitution,[status(thm)],[c276]) ).

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

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

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

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

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

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

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

cnf(c322,plain,
    multiply(multiply(inverse(X4),X4),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X2)),multiply(X2,X2))),multiply(inverse(multiply(inverse(multiply(X2,X2)),multiply(X2,X2))),multiply(inverse(multiply(X2,X2)),multiply(X2,X2))))),X3)) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X2)),multiply(X2,X2))),multiply(inverse(multiply(inverse(multiply(X2,X2)),multiply(X2,X2))),multiply(inverse(multiply(X2,X2)),multiply(X2,X2))))),X3),X),inverse(X)),
    inference(substitution,[status(thm)],[c285]) ).

cnf(c323,plain,
    multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(X5),X5)) = multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(multiply(X,inverse(X4))),multiply(X,inverse(X4)))),
    inference(substitution,[status(thm)],[c183]) ).

cnf(c324,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(X5),X5))) = inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(multiply(X,inverse(X4))),multiply(X,inverse(X4))))),
    inference(congruence,[status(thm)],[c323]) ).

cnf(c325,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(X5),X5))),X4) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(multiply(X,inverse(X4))),multiply(X,inverse(X4))))),X4),
    inference(congruence,[status(thm)],[c324]) ).

cnf(c326,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(X6),X6))),X5),X4) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(multiply(X,inverse(X5))),multiply(X,inverse(X5))))),X5),X4),
    inference(congruence,[status(thm)],[c325]) ).

cnf(c327,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(X6),X6))),X5),X4),inverse(X4)) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(multiply(X,inverse(X5))),multiply(X,inverse(X5))))),X5),X4),inverse(X4)),
    inference(congruence,[status(thm)],[c326]) ).

cnf(c328,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X))),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(X5,inverse(X6))))))),inverse(X)),inverse(inverse(X)))))))),X) = inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(X5,inverse(X6))))))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c329,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(X5,inverse(X6))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X))),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(X5,inverse(X6))))))),inverse(X)),inverse(inverse(X)))))))),X),
    inference(symmetry,[status(thm)],[c328]) ).

cnf(c330,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(X2,inverse(X3))))))),inverse(X)),inverse(inverse(X))) = X2,
    inference(substitution,[status(thm)],[c28]) ).

cnf(c331,plain,
    inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(X2,inverse(X3))))))),inverse(X)),inverse(inverse(X)))) = inverse(X2),
    inference(congruence,[status(thm)],[c330]) ).

cnf(c332,plain,
    multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(X3,inverse(X4))))))),inverse(X)),inverse(inverse(X))))) = multiply(X2,inverse(X3)),
    inference(congruence,[status(thm)],[c331]) ).

cnf(c333,plain,
    multiply(inverse(multiply(X2,inverse(X))),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(X3,inverse(X4))))))),inverse(X)),inverse(inverse(X)))))) = multiply(inverse(multiply(X2,inverse(X))),multiply(X2,inverse(X3))),
    inference(congruence,[status(thm)],[c332]) ).

cnf(c334,plain,
    multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X))),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(X5,inverse(X6))))))),inverse(X)),inverse(inverse(X))))))) = multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X))),multiply(X2,inverse(X5)))),
    inference(congruence,[status(thm)],[c333]) ).

cnf(c335,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X))),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(X5,inverse(X6))))))),inverse(X)),inverse(inverse(X)))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X))),multiply(X2,inverse(X5))))),
    inference(congruence,[status(thm)],[c334]) ).

cnf(c336,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X))),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(X5,inverse(X6))))))),inverse(X)),inverse(inverse(X)))))))),X) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X))),multiply(X2,inverse(X5))))),X),
    inference(congruence,[status(thm)],[c335]) ).

cnf(c337,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(X5,inverse(X6))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X))),multiply(X2,inverse(X5))))),X),
    inference(transitivity,[status(thm)],[c329,c336]) ).

cnf(c338,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(X5,inverse(X))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,inverse(X6))),multiply(X7,inverse(X5))))),X6),
    inference(substitution,[status(thm)],[c337]) ).

cnf(c339,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,inverse(X6))),multiply(X7,inverse(X5))))),X6) = inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(X5,inverse(X))))))),
    inference(symmetry,[status(thm)],[c338]) ).

cnf(c340,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,inverse(X7))),multiply(X8,inverse(X6))))),X7),X5) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(X6,inverse(X))))))),X5),
    inference(congruence,[status(thm)],[c339]) ).

cnf(c341,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,inverse(X7))),multiply(X8,inverse(X6))))),X7),X5),inverse(X5)) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(X6,inverse(X))))))),X5),inverse(X5)),
    inference(congruence,[status(thm)],[c340]) ).

cnf(c342,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(X6,inverse(X))))))),X5),inverse(X5)) = X6,
    inference(substitution,[status(thm)],[c28]) ).

cnf(c343,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(X2))))),X3),X),inverse(X)) = X2,
    inference(transitivity,[status(thm)],[c341,c342]) ).

cnf(c344,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(multiply(X,inverse(X5))),multiply(X,inverse(X5))))),X5),X4),inverse(X4)) = X5,
    inference(substitution,[status(thm)],[c343]) ).

cnf(c345,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(X3),X3))),X2),X),inverse(X)) = X2,
    inference(transitivity,[status(thm)],[c327,c344]) ).

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

cnf(c347,plain,
    multiply(multiply(inverse(X3),X3),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,X)),multiply(X,X))),multiply(inverse(multiply(inverse(multiply(X,X)),multiply(X,X))),multiply(inverse(multiply(X,X)),multiply(X,X))))),X2)) = X2,
    inference(transitivity,[status(thm)],[c322,c346]) ).

cnf(c348,plain,
    multiply(multiply(inverse(X3),X3),multiply(inverse(multiply(inverse(X2),X2)),X)) = X,
    inference(transitivity,[status(thm)],[c321,c347]) ).

cnf(c349,plain,
    multiply(multiply(inverse(X2),X2),multiply(inverse(multiply(inverse(X),X)),X3)) = X3,
    inference(substitution,[status(thm)],[c348]) ).

cnf(c350,plain,
    X3 = multiply(multiply(inverse(X2),X2),multiply(inverse(multiply(inverse(X),X)),X3)),
    inference(symmetry,[status(thm)],[c349]) ).

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

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

cnf(c353,plain,
    multiply(X3,multiply(inverse(X2),X2)) = multiply(inverse(X),multiply(X3,X)),
    inference(symmetry,[status(thm)],[c304]) ).

cnf(c354,plain,
    multiply(multiply(X3,multiply(inverse(X2),X2)),inverse(multiply(X3,X))) = multiply(multiply(inverse(X),multiply(X3,X)),inverse(multiply(X3,X))),
    inference(congruence,[status(thm)],[c353]) ).

cnf(c355,plain,
    multiply(multiply(inverse(X),X),inverse(X2)) = multiply(multiply(inverse(X2),multiply(X3,X2)),inverse(multiply(X3,X2))),
    inference(substitution,[status(thm)],[c280]) ).

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

cnf(c357,plain,
    multiply(multiply(X4,multiply(inverse(X3),X3)),inverse(multiply(X4,X2))) = multiply(multiply(inverse(X),X),inverse(X2)),
    inference(transitivity,[status(thm)],[c354,c356]) ).

cnf(c358,plain,
    multiply(multiply(multiply(inverse(X4),X4),multiply(inverse(X3),X3)),inverse(multiply(multiply(inverse(X4),X4),multiply(inverse(multiply(inverse(X2),X2)),X5)))) = multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(inverse(X2),X2)),X5))),
    inference(substitution,[status(thm)],[c357]) ).

cnf(c359,plain,
    multiply(inverse(X2),X2) = multiply(inverse(multiply(X,X)),multiply(X,X)),
    inference(substitution,[status(thm)],[c276]) ).

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

cnf(c361,plain,
    multiply(multiply(inverse(multiply(X,X)),multiply(X,X)),inverse(multiply(X3,X4))) = multiply(multiply(inverse(multiply(X4,X3)),X2),inverse(X2)),
    inference(substitution,[status(thm)],[c214]) ).

cnf(c362,plain,
    multiply(multiply(inverse(X4),X4),inverse(multiply(X3,X2))) = multiply(multiply(inverse(multiply(X3,X2)),X),inverse(X)),
    inference(substitution,[status(thm)],[c280]) ).

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

cnf(c364,plain,
    multiply(multiply(inverse(multiply(X,X)),multiply(X,X)),inverse(multiply(X2,X3))) = multiply(multiply(inverse(X4),X4),inverse(multiply(X3,X2))),
    inference(transitivity,[status(thm)],[c361,c363]) ).

cnf(c365,plain,
    multiply(multiply(inverse(X),X),inverse(multiply(X2,X3))) = multiply(multiply(inverse(X4),X4),inverse(multiply(X3,X2))),
    inference(transitivity,[status(thm)],[c360,c364]) ).

cnf(c366,plain,
    multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(X3),X3)),X2))) = multiply(multiply(inverse(X),X),inverse(multiply(X2,inverse(multiply(inverse(X3),X3))))),
    inference(substitution,[status(thm)],[c365]) ).

cnf(c367,plain,
    multiply(multiply(inverse(X4),X4),inverse(multiply(X3,inverse(multiply(inverse(X2),X2))))) = multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(inverse(X2),X2)),X3))),
    inference(substitution,[status(thm)],[c365]) ).

cnf(c368,plain,
    multiply(inverse(X),X) = multiply(inverse(X3),multiply(inverse(multiply(inverse(X2),X2)),X3)),
    inference(symmetry,[status(thm)],[c316]) ).

cnf(c369,plain,
    multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(inverse(X2),X2)),X3))) = multiply(multiply(inverse(X3),multiply(inverse(multiply(inverse(X2),X2)),X3)),inverse(multiply(inverse(multiply(inverse(X2),X2)),X3))),
    inference(congruence,[status(thm)],[c368]) ).

cnf(c370,plain,
    multiply(multiply(inverse(X),X),inverse(X3)) = multiply(multiply(inverse(X3),multiply(inverse(multiply(inverse(X2),X2)),X3)),inverse(multiply(inverse(multiply(inverse(X2),X2)),X3))),
    inference(substitution,[status(thm)],[c280]) ).

cnf(c371,plain,
    multiply(multiply(inverse(X3),multiply(inverse(multiply(inverse(X2),X2)),X3)),inverse(multiply(inverse(multiply(inverse(X2),X2)),X3))) = multiply(multiply(inverse(X),X),inverse(X3)),
    inference(symmetry,[status(thm)],[c370]) ).

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

cnf(c373,plain,
    multiply(multiply(inverse(X4),X4),inverse(multiply(X3,inverse(multiply(inverse(X2),X2))))) = multiply(multiply(inverse(X),X),inverse(X3)),
    inference(transitivity,[status(thm)],[c367,c372]) ).

cnf(c374,plain,
    multiply(multiply(inverse(X),X),inverse(multiply(X3,inverse(multiply(inverse(X4),X4))))) = multiply(multiply(inverse(X2),X2),inverse(X3)),
    inference(substitution,[status(thm)],[c373]) ).

cnf(c375,plain,
    multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(X3),X3)),X2))) = multiply(multiply(inverse(X),X),inverse(X2)),
    inference(transitivity,[status(thm)],[c366,c374]) ).

cnf(c376,plain,
    multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(inverse(X2),X2)),X4))) = multiply(multiply(inverse(X3),X3),inverse(X4)),
    inference(substitution,[status(thm)],[c375]) ).

cnf(c377,plain,
    multiply(multiply(multiply(inverse(X3),X3),multiply(inverse(X2),X2)),inverse(multiply(multiply(inverse(X3),X3),multiply(inverse(multiply(inverse(X),X)),X5)))) = multiply(multiply(inverse(X4),X4),inverse(X5)),
    inference(transitivity,[status(thm)],[c358,c376]) ).

cnf(c378,plain,
    multiply(multiply(multiply(inverse(X2),X2),multiply(inverse(X),X)),inverse(X4)) = multiply(multiply(inverse(X3),X3),inverse(X4)),
    inference(transitivity,[status(thm)],[c352,c377]) ).

cnf(c379,plain,
    multiply(multiply(inverse(X4),multiply(multiply(inverse(X),X),X4)),inverse(X3)) = multiply(multiply(inverse(X2),X2),inverse(X3)),
    inference(transitivity,[status(thm)],[c306,c378]) ).

cnf(c380,plain,
    multiply(multiply(inverse(X4),multiply(multiply(X4,X3),inverse(X3))),inverse(X2)) = multiply(multiply(inverse(X),X),inverse(X2)),
    inference(transitivity,[status(thm)],[c293,c379]) ).

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

cnf(c382,plain,
    multiply(multiply(multiply(inverse(X5),multiply(multiply(X5,X4),inverse(X4))),inverse(X)),inverse(X2)) = multiply(multiply(multiply(inverse(X3),X3),inverse(X)),inverse(X2)),
    inference(congruence,[status(thm)],[c381]) ).

cnf(c383,plain,
    inverse(multiply(multiply(multiply(inverse(X5),multiply(multiply(X5,X4),inverse(X4))),inverse(X)),inverse(X2))) = inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(X)),inverse(X2))),
    inference(congruence,[status(thm)],[c382]) ).

cnf(c384,plain,
    multiply(X3,inverse(multiply(multiply(multiply(inverse(X6),multiply(multiply(X6,X5),inverse(X5))),inverse(X)),inverse(X2)))) = multiply(X3,inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(X)),inverse(X2)))),
    inference(congruence,[status(thm)],[c383]) ).

cnf(c385,plain,
    multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(X6),multiply(multiply(X6,X5),inverse(X5))),inverse(X)),inverse(X2))))) = multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(X)),inverse(X2))))),
    inference(congruence,[status(thm)],[c384]) ).

cnf(c386,plain,
    multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(X8),multiply(multiply(X8,X7),inverse(X7))),inverse(X)),inverse(X2)))))) = multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(X6),X6),inverse(X)),inverse(X2)))))),
    inference(congruence,[status(thm)],[c385]) ).

cnf(c387,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(X8),multiply(multiply(X8,X7),inverse(X7))),inverse(X)),inverse(X2))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(X6),X6),inverse(X)),inverse(X2))))))),
    inference(congruence,[status(thm)],[c386]) ).

cnf(c388,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(X8),multiply(multiply(X8,X7),inverse(X7))),inverse(X)),inverse(X2))))))),X) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(X6),X6),inverse(X)),inverse(X2))))))),X),
    inference(congruence,[status(thm)],[c387]) ).

cnf(c389,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(X6),X6),inverse(X)),inverse(X2))))))),X) = multiply(inverse(X6),X6),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c390,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(X8),multiply(multiply(X8,X7),inverse(X7))),inverse(X)),inverse(X2))))))),X) = multiply(inverse(X6),X6),
    inference(transitivity,[status(thm)],[c388,c389]) ).

cnf(c391,plain,
    multiply(inverse(X3),multiply(multiply(X3,X2),inverse(X2))) = multiply(inverse(X),X),
    inference(transitivity,[status(thm)],[c289,c390]) ).

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

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

cnf(c394,plain,
    multiply(inverse(inverse(X2)),multiply(multiply(inverse(X2),X2),inverse(X2))) = multiply(multiply(inverse(X2),X2),multiply(inverse(X),X)),
    inference(substitution,[status(thm)],[c304]) ).

cnf(c395,plain,
    multiply(multiply(inverse(X2),X2),multiply(inverse(X),X)) = multiply(multiply(multiply(inverse(X),X),inverse(inverse(X3))),inverse(inverse(inverse(X3)))),
    inference(substitution,[status(thm)],[c285]) ).

cnf(c396,plain,
    multiply(inverse(X2),multiply(X3,X2)) = multiply(X3,multiply(inverse(X),X)),
    inference(substitution,[status(thm)],[c304]) ).

cnf(c397,plain,
    inverse(multiply(inverse(X2),multiply(X3,X2))) = inverse(multiply(X3,multiply(inverse(X),X))),
    inference(congruence,[status(thm)],[c396]) ).

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

cnf(c399,plain,
    multiply(multiply(inverse(X3),multiply(X2,X3)),inverse(multiply(X2,multiply(inverse(X),X)))) = multiply(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(X),X)),inverse(multiply(inverse(X),X))),
    inference(substitution,[status(thm)],[c247]) ).

cnf(c400,plain,
    multiply(multiply(inverse(X2),X2),inverse(multiply(X,inverse(X)))) = multiply(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(X),X)),inverse(multiply(inverse(X),X))),
    inference(substitution,[status(thm)],[c365]) ).

cnf(c401,plain,
    multiply(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(X),X)),inverse(multiply(inverse(X),X))) = multiply(multiply(inverse(X2),X2),inverse(multiply(X,inverse(X)))),
    inference(symmetry,[status(thm)],[c400]) ).

cnf(c402,plain,
    multiply(multiply(inverse(X4),multiply(X3,X4)),inverse(multiply(X3,multiply(inverse(X),X)))) = multiply(multiply(inverse(X2),X2),inverse(multiply(X,inverse(X)))),
    inference(transitivity,[status(thm)],[c399,c401]) ).

cnf(c403,plain,
    multiply(multiply(inverse(X5),multiply(X4,X5)),inverse(multiply(inverse(X3),multiply(X4,X3)))) = multiply(multiply(inverse(X2),X2),inverse(multiply(X,inverse(X)))),
    inference(transitivity,[status(thm)],[c398,c402]) ).

cnf(c404,plain,
    multiply(multiply(inverse(X8),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X7,inverse(X8)),inverse(X))))))),X8)),inverse(multiply(inverse(X8),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X7,inverse(X8)),inverse(X))))))),X8)))) = multiply(multiply(inverse(X6),X6),inverse(multiply(X5,inverse(X5)))),
    inference(substitution,[status(thm)],[c403]) ).

cnf(c405,plain,
    multiply(multiply(inverse(X6),X6),inverse(multiply(X5,inverse(X5)))) = multiply(multiply(inverse(X8),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X7,inverse(X8)),inverse(X))))))),X8)),inverse(multiply(inverse(X8),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X7,inverse(X8)),inverse(X))))))),X8)))),
    inference(symmetry,[status(thm)],[c404]) ).

cnf(c406,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X5,inverse(X6)),inverse(X))))))),X6) = X5,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c407,plain,
    multiply(inverse(X6),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X5,inverse(X6)),inverse(X))))))),X6)) = multiply(inverse(X6),X5),
    inference(congruence,[status(thm)],[c406]) ).

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

cnf(c409,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X5,inverse(X6)),inverse(X))))))),X6) = X5,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c410,plain,
    multiply(inverse(X6),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X5,inverse(X6)),inverse(X))))))),X6)) = multiply(inverse(X6),X5),
    inference(congruence,[status(thm)],[c409]) ).

cnf(c411,plain,
    inverse(multiply(inverse(X6),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X5,inverse(X6)),inverse(X))))))),X6))) = inverse(multiply(inverse(X6),X5)),
    inference(congruence,[status(thm)],[c410]) ).

cnf(c412,plain,
    multiply(multiply(inverse(X6),X5),inverse(multiply(inverse(X6),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X5,inverse(X6)),inverse(X))))))),X6)))) = multiply(multiply(inverse(X6),X5),inverse(multiply(inverse(X6),X5))),
    inference(congruence,[status(thm)],[c411]) ).

cnf(c413,plain,
    multiply(multiply(inverse(X6),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X5,inverse(X6)),inverse(X))))))),X6)),inverse(multiply(inverse(X6),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X5,inverse(X6)),inverse(X))))))),X6)))) = multiply(multiply(inverse(X6),X5),inverse(multiply(inverse(X6),X5))),
    inference(transitivity,[status(thm)],[c408,c412]) ).

cnf(c414,plain,
    multiply(multiply(inverse(X2),X2),inverse(multiply(X,inverse(X)))) = multiply(multiply(inverse(X4),X3),inverse(multiply(inverse(X4),X3))),
    inference(transitivity,[status(thm)],[c405,c413]) ).

cnf(c415,plain,
    multiply(multiply(inverse(X3),X3),inverse(multiply(X2,inverse(X2)))) = multiply(multiply(inverse(X),X),inverse(multiply(inverse(X),X))),
    inference(substitution,[status(thm)],[c414]) ).

cnf(c416,plain,
    multiply(inverse(inverse(X)),multiply(multiply(inverse(X),X),inverse(X))) = multiply(inverse(X2),X2),
    inference(substitution,[status(thm)],[c391]) ).

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

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

cnf(c419,plain,
    multiply(inverse(X3),multiply(X2,X3)) = multiply(X2,multiply(inverse(X),X)),
    inference(substitution,[status(thm)],[c304]) ).

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

cnf(c421,plain,
    multiply(multiply(X3,X),inverse(X)) = multiply(multiply(X3,multiply(inverse(X2),X2)),inverse(multiply(inverse(X2),X2))),
    inference(substitution,[status(thm)],[c39]) ).

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

cnf(c423,plain,
    multiply(multiply(inverse(X4),multiply(X3,X4)),inverse(multiply(inverse(X2),X2))) = multiply(multiply(X3,X),inverse(X)),
    inference(transitivity,[status(thm)],[c420,c422]) ).

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

cnf(c425,plain,
    multiply(multiply(inverse(X),X),multiply(inverse(X3),X3)) = multiply(multiply(multiply(inverse(X3),X3),X2),inverse(X2)),
    inference(substitution,[status(thm)],[c285]) ).

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

cnf(c427,plain,
    multiply(inverse(inverse(X)),multiply(multiply(inverse(X),X),inverse(X))) = multiply(multiply(inverse(X),X),multiply(inverse(X2),X2)),
    inference(substitution,[status(thm)],[c304]) ).

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

cnf(c429,plain,
    multiply(inverse(inverse(X)),multiply(multiply(inverse(X),X),inverse(X))) = multiply(inverse(X2),X2),
    inference(substitution,[status(thm)],[c391]) ).

cnf(c430,plain,
    multiply(multiply(inverse(X),X),multiply(inverse(X2),X2)) = multiply(inverse(X3),X3),
    inference(transitivity,[status(thm)],[c428,c429]) ).

cnf(c431,plain,
    multiply(multiply(multiply(inverse(X2),X2),X),inverse(X)) = multiply(inverse(X3),X3),
    inference(transitivity,[status(thm)],[c426,c430]) ).

cnf(c432,plain,
    multiply(multiply(inverse(inverse(X)),multiply(multiply(inverse(X),X),inverse(X))),inverse(multiply(inverse(X2),X2))) = multiply(inverse(X3),X3),
    inference(transitivity,[status(thm)],[c424,c431]) ).

cnf(c433,plain,
    multiply(multiply(inverse(X),X),inverse(multiply(inverse(X),X))) = multiply(inverse(X2),X2),
    inference(transitivity,[status(thm)],[c418,c432]) ).

cnf(c434,plain,
    multiply(multiply(inverse(X3),X3),inverse(multiply(X2,inverse(X2)))) = multiply(inverse(X),X),
    inference(transitivity,[status(thm)],[c415,c433]) ).

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

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

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

cnf(c438,plain,
    multiply(multiply(multiply(inverse(X3),X3),X2),inverse(inverse(X))) = multiply(multiply(multiply(X2,X),inverse(X)),inverse(inverse(X))),
    inference(congruence,[status(thm)],[c285]) ).

cnf(c439,plain,
    multiply(multiply(inverse(X),X),multiply(X3,X2)) = multiply(multiply(multiply(X3,X2),inverse(X2)),inverse(inverse(X2))),
    inference(substitution,[status(thm)],[c285]) ).

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

cnf(c441,plain,
    multiply(multiply(multiply(inverse(X4),X4),X3),inverse(inverse(X2))) = multiply(multiply(inverse(X),X),multiply(X3,X2)),
    inference(transitivity,[status(thm)],[c438,c440]) ).

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

cnf(c443,plain,
    multiply(multiply(multiply(inverse(X),X),inverse(multiply(X3,inverse(X3)))),inverse(inverse(X2))) = multiply(multiply(inverse(X4),X4),multiply(inverse(multiply(X3,inverse(X3))),X2)),
    inference(substitution,[status(thm)],[c441]) ).

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

cnf(c445,plain,
    multiply(multiply(inverse(X2),X2),inverse(multiply(X3,inverse(X3)))) = multiply(multiply(inverse(X),X),inverse(multiply(inverse(X),X))),
    inference(substitution,[status(thm)],[c414]) ).

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

cnf(c447,plain,
    multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X2),X2))),inverse(inverse(X3))) = multiply(multiply(inverse(X),X),multiply(inverse(multiply(inverse(X2),X2)),X3)),
    inference(substitution,[status(thm)],[c441]) ).

cnf(c448,plain,
    multiply(multiply(inverse(X),X),multiply(inverse(multiply(inverse(X2),X2)),X3)) = X3,
    inference(substitution,[status(thm)],[c348]) ).

cnf(c449,plain,
    multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(X),X))),inverse(inverse(X2))) = X2,
    inference(transitivity,[status(thm)],[c447,c448]) ).

cnf(c450,plain,
    multiply(multiply(multiply(inverse(X),X),inverse(multiply(X3,inverse(X3)))),inverse(inverse(X2))) = X2,
    inference(transitivity,[status(thm)],[c446,c449]) ).

cnf(c451,plain,
    multiply(multiply(inverse(X3),X3),multiply(inverse(multiply(X2,inverse(X2))),X)) = X,
    inference(transitivity,[status(thm)],[c444,c450]) ).

cnf(c452,plain,
    multiply(multiply(inverse(X),X),multiply(inverse(multiply(X2,inverse(X2))),X3)) = X3,
    inference(substitution,[status(thm)],[c451]) ).

cnf(c453,plain,
    multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(X,inverse(X)))),inverse(inverse(X3))) = X3,
    inference(transitivity,[status(thm)],[c442,c452]) ).

cnf(c454,plain,
    multiply(multiply(inverse(X2),X2),inverse(inverse(X))) = X,
    inference(transitivity,[status(thm)],[c437,c453]) ).

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

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

cnf(c457,plain,
    multiply(multiply(inverse(X2),X2),multiply(inverse(X),X)) = multiply(X3,inverse(inverse(inverse(X3)))),
    inference(transitivity,[status(thm)],[c395,c456]) ).

cnf(c458,plain,
    multiply(inverse(inverse(X)),multiply(multiply(inverse(X),X),inverse(X))) = multiply(X2,inverse(inverse(inverse(X2)))),
    inference(transitivity,[status(thm)],[c394,c457]) ).

cnf(c459,plain,
    multiply(inverse(X2),X2) = multiply(X,inverse(inverse(inverse(X)))),
    inference(transitivity,[status(thm)],[c393,c458]) ).

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

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

cnf(c462,plain,
    multiply(multiply(X2,inverse(inverse(inverse(X2)))),inverse(inverse(inverse(inverse(X2))))) = multiply(multiply(inverse(X),X),inverse(inverse(inverse(inverse(X2))))),
    inference(congruence,[status(thm)],[c461]) ).

cnf(c463,plain,
    multiply(multiply(inverse(X2),X2),inverse(inverse(X3))) = multiply(multiply(inverse(inverse(X3)),X),inverse(X)),
    inference(substitution,[status(thm)],[c280]) ).

cnf(c464,plain,
    multiply(multiply(inverse(inverse(inverse(inverse(X2)))),multiply(multiply(inverse(X2),X2),inverse(inverse(inverse(X2))))),inverse(multiply(multiply(inverse(X2),X2),inverse(X2)))) = multiply(multiply(inverse(inverse(X2)),X),inverse(X)),
    inference(substitution,[status(thm)],[c247]) ).

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

cnf(c466,plain,
    inverse(multiply(inverse(X2),X2)) = inverse(multiply(inverse(X),X)),
    inference(substitution,[status(thm)],[c266]) ).

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

cnf(c468,plain,
    multiply(inverse(multiply(X,X)),multiply(X,X)) = multiply(inverse(multiply(inverse(X2),X2)),multiply(X2,inverse(X2))),
    inference(substitution,[status(thm)],[c209]) ).

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

cnf(c470,plain,
    multiply(inverse(X2),X2) = multiply(inverse(multiply(X,X)),multiply(X,X)),
    inference(substitution,[status(thm)],[c276]) ).

cnf(c471,plain,
    multiply(inverse(multiply(X,X)),multiply(X,X)) = multiply(inverse(X2),X2),
    inference(symmetry,[status(thm)],[c470]) ).

cnf(c472,plain,
    multiply(inverse(multiply(inverse(X2),X2)),multiply(X2,inverse(X2))) = multiply(inverse(X),X),
    inference(transitivity,[status(thm)],[c469,c471]) ).

cnf(c473,plain,
    multiply(inverse(multiply(inverse(X3),X3)),multiply(X2,inverse(X2))) = multiply(inverse(X),X),
    inference(transitivity,[status(thm)],[c467,c472]) ).

cnf(c474,plain,
    multiply(inverse(multiply(inverse(X),X)),multiply(inverse(X3),inverse(inverse(X3)))) = multiply(inverse(X2),X2),
    inference(substitution,[status(thm)],[c473]) ).

cnf(c475,plain,
    multiply(inverse(X2),X2) = multiply(inverse(multiply(inverse(X),X)),multiply(inverse(X3),inverse(inverse(X3)))),
    inference(symmetry,[status(thm)],[c474]) ).

cnf(c476,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X5,inverse(X6)),inverse(X))))))),X6) = X5,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c477,plain,
    X5 = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X5,inverse(X6)),inverse(X))))))),X6),
    inference(symmetry,[status(thm)],[c476]) ).

cnf(c478,plain,
    multiply(inverse(X6),X5) = multiply(inverse(X6),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X5,inverse(X6)),inverse(X))))))),X6)),
    inference(congruence,[status(thm)],[c477]) ).

cnf(c479,plain,
    multiply(inverse(multiply(inverse(X7),X7)),multiply(inverse(X6),X5)) = multiply(inverse(multiply(inverse(X7),X7)),multiply(inverse(X6),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X5,inverse(X6)),inverse(X))))))),X6))),
    inference(congruence,[status(thm)],[c478]) ).

cnf(c480,plain,
    inverse(multiply(inverse(X2),X2)) = inverse(multiply(inverse(X),X)),
    inference(substitution,[status(thm)],[c266]) ).

cnf(c481,plain,
    multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X2),multiply(inverse(X),X2))) = multiply(inverse(multiply(inverse(X),X)),multiply(inverse(X2),multiply(inverse(X),X2))),
    inference(congruence,[status(thm)],[c480]) ).

cnf(c482,plain,
    multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X3),multiply(inverse(X2),X3))) = multiply(inverse(X),multiply(inverse(X2),X)),
    inference(substitution,[status(thm)],[c311]) ).

cnf(c483,plain,
    multiply(inverse(multiply(inverse(X4),X4)),multiply(inverse(X3),multiply(inverse(X2),X3))) = multiply(inverse(X),multiply(inverse(X2),X)),
    inference(transitivity,[status(thm)],[c481,c482]) ).

cnf(c484,plain,
    multiply(inverse(multiply(inverse(X7),X7)),multiply(inverse(X6),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X5,inverse(X6)),inverse(X))))))),X6))) = multiply(inverse(X6),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X5,inverse(X6)),inverse(X))))))),X6)),
    inference(substitution,[status(thm)],[c483]) ).

cnf(c485,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X5,inverse(X6)),inverse(X))))))),X6) = X5,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c486,plain,
    multiply(inverse(X6),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X5,inverse(X6)),inverse(X))))))),X6)) = multiply(inverse(X6),X5),
    inference(congruence,[status(thm)],[c485]) ).

cnf(c487,plain,
    multiply(inverse(multiply(inverse(X7),X7)),multiply(inverse(X6),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X5,inverse(X6)),inverse(X))))))),X6))) = multiply(inverse(X6),X5),
    inference(transitivity,[status(thm)],[c484,c486]) ).

cnf(c488,plain,
    multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X2),X)) = multiply(inverse(X2),X),
    inference(transitivity,[status(thm)],[c479,c487]) ).

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

cnf(c490,plain,
    multiply(inverse(X),X) = multiply(inverse(X2),inverse(inverse(X2))),
    inference(transitivity,[status(thm)],[c475,c489]) ).

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

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

cnf(c493,plain,
    multiply(multiply(inverse(X2),X),inverse(X)) = multiply(multiply(inverse(X2),inverse(inverse(X2))),inverse(inverse(inverse(X2)))),
    inference(substitution,[status(thm)],[c39]) ).

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

cnf(c495,plain,
    multiply(multiply(inverse(X3),X3),inverse(inverse(inverse(X2)))) = multiply(multiply(inverse(X2),X),inverse(X)),
    inference(transitivity,[status(thm)],[c492,c494]) ).

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

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

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

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

cnf(c500,plain,
    multiply(multiply(inverse(X2),X2),inverse(inverse(inverse(inverse(X))))) = multiply(multiply(inverse(inverse(inverse(inverse(X)))),multiply(multiply(inverse(X),X),inverse(inverse(inverse(X))))),inverse(multiply(multiply(inverse(X),X),inverse(inverse(inverse(X)))))),
    inference(substitution,[status(thm)],[c280]) ).

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

cnf(c502,plain,
    multiply(multiply(inverse(inverse(inverse(inverse(X)))),multiply(multiply(inverse(X),X),inverse(inverse(inverse(X))))),inverse(multiply(multiply(inverse(X),X),inverse(X)))) = multiply(multiply(inverse(X2),X2),inverse(inverse(inverse(inverse(X))))),
    inference(transitivity,[status(thm)],[c499,c501]) ).

cnf(c503,plain,
    multiply(multiply(inverse(inverse(X2)),X),inverse(X)) = multiply(multiply(inverse(X3),X3),inverse(inverse(inverse(inverse(X2))))),
    inference(transitivity,[status(thm)],[c465,c502]) ).

cnf(c504,plain,
    multiply(multiply(inverse(X),X),inverse(inverse(X2))) = multiply(multiply(inverse(X3),X3),inverse(inverse(inverse(inverse(X2))))),
    inference(transitivity,[status(thm)],[c463,c503]) ).

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

cnf(c506,plain,
    multiply(multiply(inverse(X2),X2),inverse(inverse(inverse(inverse(X3))))) = multiply(multiply(inverse(X),X),inverse(inverse(X3))),
    inference(symmetry,[status(thm)],[c505]) ).

cnf(c507,plain,
    multiply(multiply(inverse(X),X),inverse(inverse(X2))) = X2,
    inference(substitution,[status(thm)],[c454]) ).

cnf(c508,plain,
    multiply(multiply(inverse(X),X),inverse(inverse(inverse(inverse(X2))))) = X2,
    inference(transitivity,[status(thm)],[c506,c507]) ).

cnf(c509,plain,
    multiply(multiply(X,inverse(inverse(inverse(X)))),inverse(inverse(inverse(inverse(X))))) = X,
    inference(transitivity,[status(thm)],[c462,c508]) ).

cnf(c510,plain,
    multiply(multiply(X2,X),inverse(X)) = X2,
    inference(transitivity,[status(thm)],[c287,c509]) ).

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

cnf(c512,plain,
    multiply(X2,inverse(X2)) = multiply(multiply(multiply(X2,X),inverse(X)),inverse(X2)),
    inference(congruence,[status(thm)],[c511]) ).

cnf(c513,plain,
    multiply(multiply(inverse(X),X),X3) = multiply(multiply(X3,X2),inverse(X2)),
    inference(substitution,[status(thm)],[c285]) ).

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

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

cnf(c516,plain,
    multiply(multiply(inverse(X),X),multiply(inverse(X2),X2)) = multiply(multiply(multiply(inverse(X2),X2),X3),inverse(X3)),
    inference(substitution,[status(thm)],[c285]) ).

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

cnf(c518,plain,
    multiply(inverse(X3),multiply(multiply(inverse(X),X),X3)) = multiply(multiply(inverse(X),X),multiply(inverse(X2),X2)),
    inference(substitution,[status(thm)],[c304]) ).

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

cnf(c520,plain,
    multiply(multiply(inverse(X),X),X3) = multiply(multiply(X3,X2),inverse(X2)),
    inference(substitution,[status(thm)],[c285]) ).

cnf(c521,plain,
    multiply(inverse(X3),multiply(multiply(inverse(X),X),X3)) = multiply(inverse(X3),multiply(multiply(X3,X2),inverse(X2))),
    inference(congruence,[status(thm)],[c520]) ).

cnf(c522,plain,
    multiply(multiply(inverse(X),X),multiply(inverse(X2),X2)) = multiply(inverse(X4),multiply(multiply(X4,X3),inverse(X3))),
    inference(transitivity,[status(thm)],[c519,c521]) ).

cnf(c523,plain,
    multiply(multiply(multiply(inverse(X),X),X4),inverse(X4)) = multiply(inverse(X3),multiply(multiply(X3,X2),inverse(X2))),
    inference(transitivity,[status(thm)],[c517,c522]) ).

cnf(c524,plain,
    multiply(multiply(multiply(X4,X3),inverse(X3)),inverse(X4)) = multiply(inverse(X2),multiply(multiply(X2,X),inverse(X))),
    inference(transitivity,[status(thm)],[c515,c523]) ).

cnf(c525,plain,
    multiply(multiply(multiply(X4,X),inverse(X)),inverse(X4)) = multiply(inverse(X3),multiply(multiply(X3,X2),inverse(X2))),
    inference(substitution,[status(thm)],[c524]) ).

cnf(c526,plain,
    multiply(inverse(X2),multiply(multiply(X2,X),inverse(X))) = multiply(inverse(X2),X2),
    inference(congruence,[status(thm)],[c510]) ).

cnf(c527,plain,
    multiply(inverse(X),X) = multiply(X2,inverse(inverse(inverse(X2)))),
    inference(substitution,[status(thm)],[c459]) ).

cnf(c528,plain,
    multiply(inverse(X2),multiply(multiply(X2,X),inverse(X))) = multiply(X3,inverse(inverse(inverse(X3)))),
    inference(transitivity,[status(thm)],[c526,c527]) ).

cnf(c529,plain,
    multiply(multiply(multiply(X2,X),inverse(X)),inverse(X2)) = multiply(X3,inverse(inverse(inverse(X3)))),
    inference(transitivity,[status(thm)],[c525,c528]) ).

cnf(c530,plain,
    multiply(X,inverse(X)) = multiply(X2,inverse(inverse(inverse(X2)))),
    inference(transitivity,[status(thm)],[c512,c529]) ).

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

cnf(c532,plain,
    multiply(multiply(X2,inverse(X2)),X3) = multiply(multiply(X,inverse(inverse(inverse(X)))),X3),
    inference(congruence,[status(thm)],[c531]) ).

cnf(c533,plain,
    multiply(X,inverse(inverse(inverse(X)))) = multiply(inverse(X2),X2),
    inference(symmetry,[status(thm)],[c459]) ).

cnf(c534,plain,
    multiply(multiply(X,inverse(inverse(inverse(X)))),X3) = multiply(multiply(inverse(X2),X2),X3),
    inference(congruence,[status(thm)],[c533]) ).

cnf(c535,plain,
    multiply(multiply(inverse(X),X),X3) = multiply(multiply(X3,X2),inverse(X2)),
    inference(substitution,[status(thm)],[c285]) ).

cnf(c536,plain,
    multiply(multiply(X,inverse(inverse(inverse(X)))),X3) = multiply(multiply(X3,X2),inverse(X2)),
    inference(transitivity,[status(thm)],[c534,c535]) ).

cnf(c537,plain,
    multiply(multiply(X,inverse(X)),X3) = multiply(multiply(X3,X2),inverse(X2)),
    inference(transitivity,[status(thm)],[c532,c536]) ).

cnf(c538,plain,
    multiply(multiply(X,inverse(X)),a2) = multiply(multiply(a2,X2),inverse(X2)),
    inference(substitution,[status(thm)],[c537]) ).

cnf(c539,plain,
    multiply(multiply(a2,X2),inverse(X2)) = multiply(multiply(X,inverse(X)),a2),
    inference(symmetry,[status(thm)],[c538]) ).

cnf(c540,plain,
    multiply(multiply(inverse(inverse(X)),inverse(X)),inverse(inverse(X))) = X,
    inference(substitution,[status(thm)],[c454]) ).

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

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

cnf(c543,plain,
    multiply(inverse(X3),multiply(X2,X3)) = multiply(inverse(inverse(X)),multiply(X2,inverse(X))),
    inference(substitution,[status(thm)],[c242]) ).

cnf(c544,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(multiply(X4,inverse(X4))),multiply(X4,inverse(inverse(inverse(X4))))))),X4),X),inverse(X)) = inverse(inverse(X4)),
    inference(substitution,[status(thm)],[c343]) ).

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

cnf(c546,plain,
    multiply(X,inverse(X)) = multiply(X,inverse(inverse(inverse(X)))),
    inference(substitution,[status(thm)],[c530]) ).

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

cnf(c548,plain,
    multiply(inverse(multiply(X,inverse(X))),multiply(X,inverse(inverse(inverse(X))))) = multiply(inverse(multiply(X,inverse(X))),multiply(X,inverse(X))),
    inference(congruence,[status(thm)],[c547]) ).

cnf(c549,plain,
    multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),multiply(inverse(multiply(X3,inverse(X3))),multiply(X3,inverse(inverse(inverse(X3)))))) = multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),multiply(inverse(multiply(X3,inverse(X3))),multiply(X3,inverse(X3)))),
    inference(congruence,[status(thm)],[c548]) ).

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

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

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

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

cnf(c554,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(multiply(X4,inverse(X4))),multiply(X4,inverse(X4))))),X4),X),inverse(X)) = X4,
    inference(substitution,[status(thm)],[c345]) ).

cnf(c555,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(multiply(X4,inverse(X4))),multiply(X4,inverse(inverse(inverse(X4))))))),X4),X),inverse(X)) = X4,
    inference(transitivity,[status(thm)],[c553,c554]) ).

cnf(c556,plain,
    inverse(inverse(X)) = X,
    inference(transitivity,[status(thm)],[c545,c555]) ).

cnf(c557,plain,
    multiply(inverse(inverse(X)),multiply(X2,inverse(X))) = multiply(X,multiply(X2,inverse(X))),
    inference(congruence,[status(thm)],[c556]) ).

cnf(c558,plain,
    multiply(inverse(X3),multiply(X2,X3)) = multiply(X,multiply(X2,inverse(X))),
    inference(transitivity,[status(thm)],[c543,c557]) ).

cnf(c559,plain,
    multiply(inverse(X),multiply(X2,X)) = multiply(X3,multiply(X2,inverse(X3))),
    inference(substitution,[status(thm)],[c558]) ).

cnf(c560,plain,
    multiply(X3,multiply(X2,inverse(X3))) = multiply(inverse(X),multiply(X2,X)),
    inference(symmetry,[status(thm)],[c559]) ).

cnf(c561,plain,
    inverse(multiply(X3,multiply(X2,inverse(X3)))) = inverse(multiply(inverse(X),multiply(X2,X))),
    inference(congruence,[status(thm)],[c560]) ).

cnf(c562,plain,
    multiply(inverse(multiply(X3,multiply(X2,inverse(X3)))),multiply(multiply(inverse(inverse(X2)),inverse(X2)),inverse(inverse(X2)))) = multiply(inverse(multiply(inverse(X),multiply(X2,X))),multiply(multiply(inverse(inverse(X2)),inverse(X2)),inverse(inverse(X2)))),
    inference(congruence,[status(thm)],[c561]) ).

cnf(c563,plain,
    multiply(multiply(inverse(X),multiply(X2,X)),inverse(multiply(X2,inverse(X2)))) = multiply(multiply(inverse(inverse(X2)),inverse(X2)),inverse(inverse(X2))),
    inference(substitution,[status(thm)],[c247]) ).

cnf(c564,plain,
    multiply(multiply(inverse(inverse(X2)),inverse(X2)),inverse(inverse(X2))) = multiply(multiply(inverse(X),multiply(X2,X)),inverse(multiply(X2,inverse(X2)))),
    inference(symmetry,[status(thm)],[c563]) ).

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

cnf(c566,plain,
    multiply(X2,inverse(X2)) = multiply(X,inverse(inverse(inverse(X)))),
    inference(substitution,[status(thm)],[c530]) ).

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

cnf(c568,plain,
    multiply(multiply(inverse(X4),X3),inverse(multiply(X2,inverse(X2)))) = multiply(multiply(inverse(X4),X3),inverse(multiply(X,inverse(inverse(inverse(X)))))),
    inference(congruence,[status(thm)],[c567]) ).

cnf(c569,plain,
    multiply(inverse(multiply(inverse(X4),X3)),multiply(multiply(inverse(X4),X3),inverse(multiply(X2,inverse(X2))))) = multiply(inverse(multiply(inverse(X4),X3)),multiply(multiply(inverse(X4),X3),inverse(multiply(X,inverse(inverse(inverse(X))))))),
    inference(congruence,[status(thm)],[c568]) ).

cnf(c570,plain,
    multiply(inverse(X),X) = multiply(X2,inverse(inverse(inverse(X2)))),
    inference(substitution,[status(thm)],[c459]) ).

cnf(c571,plain,
    multiply(X2,inverse(inverse(inverse(X2)))) = multiply(inverse(X),X),
    inference(symmetry,[status(thm)],[c570]) ).

cnf(c572,plain,
    inverse(multiply(X2,inverse(inverse(inverse(X2))))) = inverse(multiply(inverse(X),X)),
    inference(congruence,[status(thm)],[c571]) ).

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

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

cnf(c575,plain,
    multiply(inverse(multiply(inverse(X),X)),multiply(inverse(X3),X2)) = multiply(inverse(X3),X2),
    inference(substitution,[status(thm)],[c488]) ).

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

cnf(c577,plain,
    inverse(multiply(inverse(X3),X2)) = inverse(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(X3),X2))),
    inference(congruence,[status(thm)],[c576]) ).

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

cnf(c579,plain,
    multiply(inverse(multiply(X,X)),multiply(X,X)) = multiply(inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X4),X3))),multiply(multiply(inverse(X4),X3),inverse(multiply(inverse(X2),X2)))),
    inference(substitution,[status(thm)],[c209]) ).

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

cnf(c581,plain,
    multiply(inverse(multiply(X2,X2)),multiply(X2,X2)) = multiply(X,inverse(inverse(inverse(X)))),
    inference(substitution,[status(thm)],[c459]) ).

cnf(c582,plain,
    multiply(X2,inverse(X2)) = multiply(X,inverse(inverse(inverse(X)))),
    inference(substitution,[status(thm)],[c530]) ).

cnf(c583,plain,
    multiply(X,inverse(inverse(inverse(X)))) = multiply(X2,inverse(X2)),
    inference(symmetry,[status(thm)],[c582]) ).

cnf(c584,plain,
    multiply(inverse(multiply(X,X)),multiply(X,X)) = multiply(X2,inverse(X2)),
    inference(transitivity,[status(thm)],[c581,c583]) ).

cnf(c585,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(X4),X3))),multiply(multiply(inverse(X4),X3),inverse(multiply(inverse(X),X)))) = multiply(X2,inverse(X2)),
    inference(transitivity,[status(thm)],[c580,c584]) ).

cnf(c586,plain,
    multiply(inverse(multiply(inverse(X4),X3)),multiply(multiply(inverse(X4),X3),inverse(multiply(inverse(X),X)))) = multiply(X2,inverse(X2)),
    inference(transitivity,[status(thm)],[c578,c585]) ).

cnf(c587,plain,
    multiply(inverse(multiply(inverse(X4),X3)),multiply(multiply(inverse(X4),X3),inverse(multiply(X,inverse(inverse(inverse(X))))))) = multiply(X2,inverse(X2)),
    inference(transitivity,[status(thm)],[c574,c586]) ).

cnf(c588,plain,
    multiply(inverse(multiply(inverse(X4),X3)),multiply(multiply(inverse(X4),X3),inverse(multiply(X2,inverse(X2))))) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c569,c587]) ).

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

cnf(c590,plain,
    multiply(inverse(multiply(inverse(X),multiply(X3,X))),multiply(multiply(inverse(inverse(X3)),inverse(X3)),inverse(inverse(X3)))) = multiply(X2,inverse(X2)),
    inference(transitivity,[status(thm)],[c565,c589]) ).

cnf(c591,plain,
    multiply(inverse(multiply(X3,multiply(X2,inverse(X3)))),multiply(multiply(inverse(inverse(X2)),inverse(X2)),inverse(inverse(X2)))) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c562,c590]) ).

cnf(c592,plain,
    multiply(inverse(multiply(X3,multiply(X2,inverse(X3)))),X2) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c542,c591]) ).

cnf(c593,plain,
    multiply(inverse(multiply(X2,multiply(X,inverse(X2)))),X) = multiply(X3,inverse(X3)),
    inference(substitution,[status(thm)],[c592]) ).

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

cnf(c595,plain,
    multiply(multiply(X4,inverse(X4)),X3) = multiply(multiply(inverse(multiply(X2,multiply(X,inverse(X2)))),X),X3),
    inference(congruence,[status(thm)],[c594]) ).

cnf(c596,plain,
    multiply(inverse(multiply(X,inverse(X))),multiply(X3,multiply(X,inverse(X)))) = multiply(X2,multiply(X3,inverse(X2))),
    inference(substitution,[status(thm)],[c558]) ).

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

cnf(c598,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(inverse(multiply(X6,inverse(X6))),inverse(X)),inverse(X2))))))),X) = inverse(multiply(X6,inverse(X6))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c599,plain,
    inverse(multiply(X6,inverse(X6))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(inverse(multiply(X6,inverse(X6))),inverse(X)),inverse(X2))))))),X),
    inference(symmetry,[status(thm)],[c598]) ).

cnf(c600,plain,
    multiply(X2,inverse(X2)) = multiply(X,inverse(inverse(inverse(X)))),
    inference(substitution,[status(thm)],[c530]) ).

cnf(c601,plain,
    inverse(multiply(X2,inverse(X2))) = inverse(multiply(X,inverse(inverse(inverse(X))))),
    inference(congruence,[status(thm)],[c600]) ).

cnf(c602,plain,
    multiply(inverse(multiply(X3,inverse(X3))),inverse(X2)) = multiply(inverse(multiply(X,inverse(inverse(inverse(X))))),inverse(X2)),
    inference(congruence,[status(thm)],[c601]) ).

cnf(c603,plain,
    multiply(inverse(X),X) = multiply(X2,inverse(inverse(inverse(X2)))),
    inference(substitution,[status(thm)],[c459]) ).

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

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

cnf(c606,plain,
    multiply(inverse(multiply(X2,inverse(inverse(inverse(X2))))),inverse(X3)) = multiply(inverse(multiply(inverse(X),X)),inverse(X3)),
    inference(congruence,[status(thm)],[c605]) ).

cnf(c607,plain,
    multiply(X2,inverse(X2)) = multiply(X,inverse(inverse(inverse(X)))),
    inference(substitution,[status(thm)],[c530]) ).

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

cnf(c609,plain,
    multiply(inverse(X3),inverse(multiply(X2,inverse(X2)))) = multiply(inverse(X3),inverse(multiply(X,inverse(inverse(inverse(X)))))),
    inference(congruence,[status(thm)],[c608]) ).

cnf(c610,plain,
    multiply(inverse(X),X) = multiply(X2,inverse(inverse(inverse(X2)))),
    inference(substitution,[status(thm)],[c459]) ).

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

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

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

cnf(c614,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X2)),multiply(X2,X2))),multiply(inverse(multiply(X2,X2)),multiply(X2,inverse(multiply(X3,multiply(inverse(X2),inverse(X3)))))))),X),inverse(X)),inverse(X2)) = multiply(X3,multiply(inverse(X2),inverse(X3))),
    inference(substitution,[status(thm)],[c79]) ).

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

cnf(c616,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(inverse(multiply(X6,multiply(inverse(X5),inverse(X6)))),inverse(X5)),inverse(X))))))),X5) = inverse(multiply(X6,multiply(inverse(X5),inverse(X6)))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c617,plain,
    inverse(multiply(X6,multiply(inverse(X5),inverse(X6)))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(inverse(multiply(X6,multiply(inverse(X5),inverse(X6)))),inverse(X5)),inverse(X))))))),X5),
    inference(symmetry,[status(thm)],[c616]) ).

cnf(c618,plain,
    multiply(inverse(multiply(X2,multiply(inverse(X),inverse(X2)))),inverse(X)) = multiply(X,inverse(X)),
    inference(substitution,[status(thm)],[c592]) ).

cnf(c619,plain,
    multiply(multiply(inverse(multiply(X3,multiply(inverse(X2),inverse(X3)))),inverse(X2)),inverse(X)) = multiply(multiply(X2,inverse(X2)),inverse(X)),
    inference(congruence,[status(thm)],[c618]) ).

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

cnf(c621,plain,
    multiply(X2,inverse(multiply(multiply(inverse(multiply(X4,multiply(inverse(X3),inverse(X4)))),inverse(X3)),inverse(X)))) = multiply(X2,inverse(multiply(multiply(X3,inverse(X3)),inverse(X)))),
    inference(congruence,[status(thm)],[c620]) ).

cnf(c622,plain,
    multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(inverse(multiply(X4,multiply(inverse(X3),inverse(X4)))),inverse(X3)),inverse(X))))) = multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X3,inverse(X3)),inverse(X))))),
    inference(congruence,[status(thm)],[c621]) ).

cnf(c623,plain,
    multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(inverse(multiply(X6,multiply(inverse(X5),inverse(X6)))),inverse(X5)),inverse(X)))))) = multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X5,inverse(X5)),inverse(X)))))),
    inference(congruence,[status(thm)],[c622]) ).

cnf(c624,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(inverse(multiply(X6,multiply(inverse(X5),inverse(X6)))),inverse(X5)),inverse(X))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X5,inverse(X5)),inverse(X))))))),
    inference(congruence,[status(thm)],[c623]) ).

cnf(c625,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(inverse(multiply(X6,multiply(inverse(X5),inverse(X6)))),inverse(X5)),inverse(X))))))),X5) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X5,inverse(X5)),inverse(X))))))),X5),
    inference(congruence,[status(thm)],[c624]) ).

cnf(c626,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X5)),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(X6,inverse(X7))))))),X5),inverse(X5))))))),X),inverse(X)) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(X6,inverse(X7))))))),X5),
    inference(substitution,[status(thm)],[c28]) ).

cnf(c627,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(X6,inverse(X7))))))),X5) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X5)),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(X6,inverse(X7))))))),X5),inverse(X5))))))),X),inverse(X)),
    inference(symmetry,[status(thm)],[c626]) ).

cnf(c628,plain,
    inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(X2,inverse(X3))))))),X),inverse(X))) = inverse(X2),
    inference(congruence,[status(thm)],[c28]) ).

cnf(c629,plain,
    multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(X3,inverse(X4))))))),X2),inverse(X2)))) = multiply(X,inverse(X3)),
    inference(congruence,[status(thm)],[c628]) ).

cnf(c630,plain,
    multiply(inverse(multiply(X,X2)),multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(X3,inverse(X4))))))),X2),inverse(X2))))) = multiply(inverse(multiply(X,X2)),multiply(X,inverse(X3))),
    inference(congruence,[status(thm)],[c629]) ).

cnf(c631,plain,
    multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(multiply(X,X4)),multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(X5,inverse(X6))))))),X4),inverse(X4)))))) = multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(multiply(X,X4)),multiply(X,inverse(X5)))),
    inference(congruence,[status(thm)],[c630]) ).

cnf(c632,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(multiply(X,X4)),multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(X5,inverse(X6))))))),X4),inverse(X4))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(multiply(X,X4)),multiply(X,inverse(X5))))),
    inference(congruence,[status(thm)],[c631]) ).

cnf(c633,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X5)),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(X6,inverse(X7))))))),X5),inverse(X5))))))),X) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X5)),multiply(X2,inverse(X6))))),X),
    inference(congruence,[status(thm)],[c632]) ).

cnf(c634,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X5)),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(X6,inverse(X7))))))),X5),inverse(X5))))))),X),inverse(X)) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X5)),multiply(X2,inverse(X6))))),X),inverse(X)),
    inference(congruence,[status(thm)],[c633]) ).

cnf(c635,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(X6,inverse(X7))))))),X5) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X5)),multiply(X2,inverse(X6))))),X),inverse(X)),
    inference(transitivity,[status(thm)],[c627,c634]) ).

cnf(c636,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X5)),multiply(X6,inverse(multiply(multiply(X9,inverse(X9)),inverse(X5))))))),X9) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X9)),multiply(X2,inverse(multiply(X9,inverse(X9))))))),X),inverse(X)),
    inference(substitution,[status(thm)],[c635]) ).

cnf(c637,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X5)),multiply(X2,inverse(multiply(X5,inverse(X5))))))),X),inverse(X)) = X5,
    inference(substitution,[status(thm)],[c28]) ).

cnf(c638,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X5,inverse(X5)),inverse(X))))))),X5) = X5,
    inference(transitivity,[status(thm)],[c636,c637]) ).

cnf(c639,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(inverse(multiply(X6,multiply(inverse(X5),inverse(X6)))),inverse(X5)),inverse(X))))))),X5) = X5,
    inference(transitivity,[status(thm)],[c625,c638]) ).

cnf(c640,plain,
    inverse(multiply(X2,multiply(inverse(X),inverse(X2)))) = X,
    inference(transitivity,[status(thm)],[c617,c639]) ).

cnf(c641,plain,
    multiply(X,inverse(multiply(X2,multiply(inverse(X),inverse(X2))))) = multiply(X,X),
    inference(congruence,[status(thm)],[c640]) ).

cnf(c642,plain,
    multiply(inverse(multiply(X,X)),multiply(X,inverse(multiply(X2,multiply(inverse(X),inverse(X2)))))) = multiply(inverse(multiply(X,X)),multiply(X,X)),
    inference(congruence,[status(thm)],[c641]) ).

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

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

cnf(c645,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X2)),multiply(X2,X2))),multiply(inverse(multiply(X2,X2)),multiply(X2,inverse(multiply(X3,multiply(inverse(X2),inverse(X3)))))))),X) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X2)),multiply(X2,X2))),multiply(inverse(multiply(X2,X2)),multiply(X2,X2)))),X),
    inference(congruence,[status(thm)],[c644]) ).

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

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

cnf(c648,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(X2,X2)),multiply(X2,X2))),multiply(inverse(multiply(X2,X2)),multiply(X2,X2))),inverse(multiply(inverse(multiply(inverse(multiply(X2,X2)),multiply(X2,X2))),multiply(inverse(multiply(X2,X2)),multiply(X2,X2))))) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X2)),multiply(X2,X2))),multiply(inverse(multiply(X2,X2)),multiply(X2,X2)))),X),inverse(X)),
    inference(substitution,[status(thm)],[c280]) ).

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

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

cnf(c651,plain,
    multiply(X2,inverse(X2)) = multiply(X,inverse(inverse(inverse(X)))),
    inference(substitution,[status(thm)],[c530]) ).

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

cnf(c653,plain,
    multiply(inverse(X),X) = multiply(X2,inverse(inverse(inverse(X2)))),
    inference(substitution,[status(thm)],[c459]) ).

cnf(c654,plain,
    multiply(X2,inverse(inverse(inverse(X2)))) = multiply(inverse(X),X),
    inference(symmetry,[status(thm)],[c653]) ).

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

cnf(c656,plain,
    multiply(multiply(inverse(X2),X2),inverse(multiply(X,inverse(X)))) = multiply(inverse(X3),X3),
    inference(substitution,[status(thm)],[c434]) ).

cnf(c657,plain,
    multiply(inverse(X3),X3) = multiply(multiply(inverse(X2),X2),inverse(multiply(X,inverse(X)))),
    inference(symmetry,[status(thm)],[c656]) ).

cnf(c658,plain,
    multiply(multiply(inverse(X3),X3),inverse(X4)) = multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(X,inverse(X)))),inverse(X4)),
    inference(congruence,[status(thm)],[c657]) ).

cnf(c659,plain,
    multiply(multiply(inverse(X2),X2),inverse(multiply(X,inverse(X)))) = multiply(multiply(inverse(multiply(inverse(multiply(X3,X3)),multiply(X3,X3))),multiply(inverse(multiply(X3,X3)),multiply(X3,X3))),inverse(multiply(inverse(multiply(inverse(multiply(X3,X3)),multiply(X3,X3))),multiply(inverse(multiply(X3,X3)),multiply(X3,X3))))),
    inference(substitution,[status(thm)],[c414]) ).

cnf(c660,plain,
    multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(X,inverse(X)))),inverse(X3)) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(X3,X3)),multiply(X3,X3))),multiply(inverse(multiply(X3,X3)),multiply(X3,X3))),inverse(multiply(inverse(multiply(inverse(multiply(X3,X3)),multiply(X3,X3))),multiply(inverse(multiply(X3,X3)),multiply(X3,X3))))),inverse(X3)),
    inference(congruence,[status(thm)],[c659]) ).

cnf(c661,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(X2,X2)),multiply(X2,X2))),multiply(inverse(multiply(X2,X2)),multiply(X2,X2))),inverse(multiply(inverse(multiply(inverse(multiply(X2,X2)),multiply(X2,X2))),multiply(inverse(multiply(X2,X2)),multiply(X2,X2))))) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X2)),multiply(X2,X2))),multiply(inverse(multiply(X2,X2)),multiply(X2,X2)))),X),inverse(X)),
    inference(substitution,[status(thm)],[c280]) ).

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

cnf(c663,plain,
    X = inverse(inverse(X)),
    inference(symmetry,[status(thm)],[c556]) ).

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

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

cnf(c666,plain,
    multiply(inverse(multiply(inverse(multiply(X,X)),multiply(X,X))),multiply(inverse(multiply(X,X)),multiply(X,X))) = multiply(inverse(multiply(inverse(multiply(X,X)),multiply(X,X))),multiply(inverse(multiply(X,X)),multiply(X,inverse(inverse(X))))),
    inference(congruence,[status(thm)],[c665]) ).

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

cnf(c668,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X2)),multiply(X2,X2))),multiply(inverse(multiply(X2,X2)),multiply(X2,X2)))),X) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X2)),multiply(X2,X2))),multiply(inverse(multiply(X2,X2)),multiply(X2,inverse(inverse(X2)))))),X),
    inference(congruence,[status(thm)],[c667]) ).

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

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

cnf(c671,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X2)),multiply(X2,X2))),multiply(inverse(multiply(X2,X2)),multiply(X2,inverse(inverse(X2)))))),X),inverse(X)),inverse(X2)) = inverse(X2),
    inference(substitution,[status(thm)],[c79]) ).

cnf(c672,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X2)),multiply(X2,X2))),multiply(inverse(multiply(X2,X2)),multiply(X2,X2)))),X),inverse(X)),inverse(X2)) = inverse(X2),
    inference(transitivity,[status(thm)],[c670,c671]) ).

cnf(c673,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(X,X)),multiply(X,X))),multiply(inverse(multiply(X,X)),multiply(X,X))),inverse(multiply(inverse(multiply(inverse(multiply(X,X)),multiply(X,X))),multiply(inverse(multiply(X,X)),multiply(X,X))))),inverse(X)) = inverse(X),
    inference(transitivity,[status(thm)],[c662,c672]) ).

cnf(c674,plain,
    multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(X,inverse(X)))),inverse(X3)) = inverse(X3),
    inference(transitivity,[status(thm)],[c660,c673]) ).

cnf(c675,plain,
    multiply(multiply(inverse(X),X),inverse(X2)) = inverse(X2),
    inference(transitivity,[status(thm)],[c658,c674]) ).

cnf(c676,plain,
    multiply(multiply(X,inverse(inverse(inverse(X)))),inverse(X2)) = inverse(X2),
    inference(transitivity,[status(thm)],[c655,c675]) ).

cnf(c677,plain,
    multiply(multiply(X2,inverse(X2)),inverse(X)) = inverse(X),
    inference(transitivity,[status(thm)],[c652,c676]) ).

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

cnf(c679,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X2)),multiply(X2,X2))),multiply(inverse(multiply(X2,X2)),multiply(X2,X2)))),X),inverse(X)),inverse(X2)) = inverse(X2),
    inference(transitivity,[status(thm)],[c650,c678]) ).

cnf(c680,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X2)),multiply(X2,X2))),multiply(inverse(multiply(X2,X2)),multiply(X2,inverse(multiply(X3,multiply(inverse(X2),inverse(X3)))))))),X),inverse(X)),inverse(X2)) = inverse(X2),
    inference(transitivity,[status(thm)],[c647,c679]) ).

cnf(c681,plain,
    multiply(X2,multiply(inverse(X),inverse(X2))) = inverse(X),
    inference(transitivity,[status(thm)],[c615,c680]) ).

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

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

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

cnf(c685,plain,
    multiply(inverse(multiply(X,multiply(X,inverse(X)))),X) = multiply(inverse(X),inverse(inverse(X))),
    inference(substitution,[status(thm)],[c592]) ).

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

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

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

cnf(c689,plain,
    multiply(multiply(inverse(X3),multiply(inverse(X2),X3)),inverse(multiply(inverse(X),X))) = multiply(multiply(inverse(X3),multiply(inverse(X2),X3)),inverse(multiply(inverse(X2),X2))),
    inference(congruence,[status(thm)],[c266]) ).

cnf(c690,plain,
    multiply(multiply(inverse(X3),multiply(inverse(X2),X3)),inverse(multiply(inverse(X2),X2))) = multiply(multiply(inverse(X2),X),inverse(X)),
    inference(substitution,[status(thm)],[c247]) ).

cnf(c691,plain,
    multiply(multiply(inverse(X2),X2),inverse(X3)) = multiply(multiply(inverse(X3),X),inverse(X)),
    inference(substitution,[status(thm)],[c280]) ).

cnf(c692,plain,
    multiply(multiply(inverse(X3),X),inverse(X)) = multiply(multiply(inverse(X2),X2),inverse(X3)),
    inference(symmetry,[status(thm)],[c691]) ).

cnf(c693,plain,
    multiply(multiply(inverse(X3),multiply(inverse(X2),X3)),inverse(multiply(inverse(X2),X2))) = multiply(multiply(inverse(X),X),inverse(X2)),
    inference(transitivity,[status(thm)],[c690,c692]) ).

cnf(c694,plain,
    multiply(multiply(inverse(X4),multiply(inverse(X3),X4)),inverse(multiply(inverse(X2),X2))) = multiply(multiply(inverse(X),X),inverse(X3)),
    inference(transitivity,[status(thm)],[c689,c693]) ).

cnf(c695,plain,
    multiply(multiply(inverse(X3),multiply(inverse(multiply(X3,multiply(X3,inverse(X3)))),X3)),inverse(multiply(inverse(X2),X2))) = multiply(multiply(inverse(X),X),inverse(multiply(X3,multiply(X3,inverse(X3))))),
    inference(substitution,[status(thm)],[c694]) ).

cnf(c696,plain,
    multiply(multiply(inverse(X2),X2),inverse(multiply(X3,multiply(X3,inverse(X3))))) = multiply(multiply(X,inverse(inverse(inverse(X)))),inverse(multiply(X3,multiply(X3,inverse(X3))))),
    inference(congruence,[status(thm)],[c459]) ).

cnf(c697,plain,
    multiply(X2,inverse(inverse(inverse(X2)))) = multiply(X,inverse(X)),
    inference(symmetry,[status(thm)],[c530]) ).

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

cnf(c699,plain,
    multiply(X2,inverse(X2)) = multiply(X,inverse(inverse(inverse(X)))),
    inference(substitution,[status(thm)],[c530]) ).

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

cnf(c701,plain,
    multiply(inverse(X3),multiply(X3,multiply(X2,inverse(X2)))) = multiply(inverse(X3),multiply(X3,multiply(X,inverse(inverse(inverse(X)))))),
    inference(congruence,[status(thm)],[c700]) ).

cnf(c702,plain,
    multiply(inverse(inverse(X2)),inverse(X2)) = multiply(X,inverse(inverse(inverse(X)))),
    inference(substitution,[status(thm)],[c459]) ).

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

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

cnf(c705,plain,
    multiply(inverse(X2),multiply(X2,multiply(X,inverse(inverse(inverse(X)))))) = multiply(inverse(X2),multiply(X2,multiply(inverse(inverse(X2)),inverse(X2)))),
    inference(congruence,[status(thm)],[c704]) ).

cnf(c706,plain,
    multiply(inverse(inverse(X)),multiply(inverse(inverse(X)),inverse(X))) = multiply(X,multiply(inverse(inverse(X)),inverse(X))),
    inference(substitution,[status(thm)],[c558]) ).

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

cnf(c708,plain,
    multiply(inverse(X),multiply(X,multiply(inverse(inverse(X)),inverse(X)))) = multiply(inverse(X),multiply(inverse(inverse(X)),multiply(inverse(inverse(X)),inverse(X)))),
    inference(congruence,[status(thm)],[c707]) ).

cnf(c709,plain,
    multiply(multiply(inverse(inverse(X)),inverse(X)),inverse(inverse(X))) = X,
    inference(substitution,[status(thm)],[c454]) ).

cnf(c710,plain,
    X = multiply(multiply(inverse(inverse(X)),inverse(X)),inverse(inverse(X))),
    inference(symmetry,[status(thm)],[c709]) ).

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

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

cnf(c713,plain,
    multiply(inverse(multiply(X,X)),multiply(X,X)) = multiply(inverse(multiply(multiply(inverse(inverse(X2)),inverse(X2)),inverse(inverse(X2)))),multiply(inverse(inverse(X2)),multiply(inverse(inverse(X2)),inverse(X2)))),
    inference(substitution,[status(thm)],[c209]) ).

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

cnf(c715,plain,
    multiply(inverse(multiply(X2,X2)),multiply(X2,X2)) = multiply(X,inverse(inverse(inverse(X)))),
    inference(substitution,[status(thm)],[c459]) ).

cnf(c716,plain,
    multiply(X2,inverse(X2)) = multiply(X,inverse(inverse(inverse(X)))),
    inference(substitution,[status(thm)],[c530]) ).

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

cnf(c718,plain,
    multiply(inverse(multiply(X,X)),multiply(X,X)) = multiply(X2,inverse(X2)),
    inference(transitivity,[status(thm)],[c715,c717]) ).

cnf(c719,plain,
    multiply(inverse(multiply(multiply(inverse(inverse(X2)),inverse(X2)),inverse(inverse(X2)))),multiply(inverse(inverse(X2)),multiply(inverse(inverse(X2)),inverse(X2)))) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c714,c718]) ).

cnf(c720,plain,
    multiply(inverse(X2),multiply(inverse(inverse(X2)),multiply(inverse(inverse(X2)),inverse(X2)))) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c712,c719]) ).

cnf(c721,plain,
    multiply(inverse(X2),multiply(X2,multiply(inverse(inverse(X2)),inverse(X2)))) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c708,c720]) ).

cnf(c722,plain,
    multiply(inverse(X3),multiply(X3,multiply(X,inverse(inverse(inverse(X)))))) = multiply(X2,inverse(X2)),
    inference(transitivity,[status(thm)],[c705,c721]) ).

cnf(c723,plain,
    multiply(inverse(X3),multiply(X3,multiply(X2,inverse(X2)))) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c701,c722]) ).

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

cnf(c725,plain,
    multiply(X3,inverse(X3)) = multiply(inverse(X2),multiply(X2,multiply(X,inverse(X)))),
    inference(symmetry,[status(thm)],[c724]) ).

cnf(c726,plain,
    multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(X,inverse(X))))) = multiply(multiply(inverse(X2),multiply(X2,multiply(X,inverse(X)))),inverse(multiply(X2,multiply(X,inverse(X))))),
    inference(congruence,[status(thm)],[c725]) ).

cnf(c727,plain,
    multiply(multiply(inverse(X2),X2),inverse(X2)) = multiply(multiply(inverse(X2),multiply(X2,multiply(X,inverse(X)))),inverse(multiply(X2,multiply(X,inverse(X))))),
    inference(substitution,[status(thm)],[c39]) ).

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

cnf(c729,plain,
    multiply(multiply(inverse(X2),X2),inverse(X2)) = multiply(multiply(X,inverse(inverse(inverse(X)))),inverse(X2)),
    inference(congruence,[status(thm)],[c459]) ).

cnf(c730,plain,
    multiply(X2,inverse(inverse(inverse(X2)))) = multiply(X,inverse(X)),
    inference(symmetry,[status(thm)],[c530]) ).

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

cnf(c732,plain,
    multiply(multiply(X,inverse(X)),inverse(X2)) = inverse(X2),
    inference(substitution,[status(thm)],[c677]) ).

cnf(c733,plain,
    multiply(multiply(X,inverse(inverse(inverse(X)))),inverse(X2)) = inverse(X2),
    inference(transitivity,[status(thm)],[c731,c732]) ).

cnf(c734,plain,
    multiply(multiply(inverse(X),X),inverse(X)) = inverse(X),
    inference(transitivity,[status(thm)],[c729,c733]) ).

cnf(c735,plain,
    multiply(multiply(inverse(X2),multiply(X2,multiply(X,inverse(X)))),inverse(multiply(X2,multiply(X,inverse(X))))) = inverse(X2),
    inference(transitivity,[status(thm)],[c728,c734]) ).

cnf(c736,plain,
    multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(X,inverse(X))))) = inverse(X2),
    inference(transitivity,[status(thm)],[c726,c735]) ).

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

cnf(c738,plain,
    multiply(multiply(X,inverse(inverse(inverse(X)))),inverse(multiply(X2,multiply(X2,inverse(X2))))) = inverse(X2),
    inference(transitivity,[status(thm)],[c698,c737]) ).

cnf(c739,plain,
    multiply(multiply(inverse(X),X),inverse(multiply(X2,multiply(X2,inverse(X2))))) = inverse(X2),
    inference(transitivity,[status(thm)],[c696,c738]) ).

cnf(c740,plain,
    multiply(multiply(inverse(X2),multiply(inverse(multiply(X2,multiply(X2,inverse(X2)))),X2)),inverse(multiply(inverse(X),X))) = inverse(X2),
    inference(transitivity,[status(thm)],[c695,c739]) ).

cnf(c741,plain,
    multiply(multiply(inverse(X2),multiply(inverse(X2),inverse(inverse(X2)))),inverse(multiply(inverse(X),X))) = inverse(X2),
    inference(transitivity,[status(thm)],[c688,c740]) ).

cnf(c742,plain,
    multiply(inverse(X2),inverse(multiply(inverse(X),X))) = inverse(X2),
    inference(transitivity,[status(thm)],[c684,c741]) ).

cnf(c743,plain,
    multiply(inverse(X2),inverse(multiply(X,inverse(inverse(inverse(X)))))) = inverse(X2),
    inference(transitivity,[status(thm)],[c613,c742]) ).

cnf(c744,plain,
    multiply(inverse(X2),inverse(multiply(X,inverse(X)))) = inverse(X2),
    inference(transitivity,[status(thm)],[c609,c743]) ).

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

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

cnf(c747,plain,
    multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X3),inverse(multiply(X,inverse(X))))) = multiply(inverse(X3),inverse(multiply(X,inverse(X)))),
    inference(substitution,[status(thm)],[c488]) ).

cnf(c748,plain,
    multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X3),inverse(multiply(X,inverse(X))))) = inverse(X3),
    inference(transitivity,[status(thm)],[c747,c744]) ).

cnf(c749,plain,
    multiply(inverse(multiply(inverse(X),X)),inverse(X2)) = inverse(X2),
    inference(transitivity,[status(thm)],[c746,c748]) ).

cnf(c750,plain,
    multiply(inverse(multiply(X,inverse(inverse(inverse(X))))),inverse(X2)) = inverse(X2),
    inference(transitivity,[status(thm)],[c606,c749]) ).

cnf(c751,plain,
    multiply(inverse(multiply(X2,inverse(X2))),inverse(X)) = inverse(X),
    inference(transitivity,[status(thm)],[c602,c750]) ).

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

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

cnf(c754,plain,
    multiply(X3,inverse(multiply(multiply(inverse(multiply(X4,inverse(X4))),inverse(X)),inverse(X2)))) = multiply(X3,inverse(multiply(inverse(X),inverse(X2)))),
    inference(congruence,[status(thm)],[c753]) ).

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

cnf(c756,plain,
    multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(inverse(multiply(X6,inverse(X6))),inverse(X)),inverse(X2)))))) = multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X),inverse(X2)))))),
    inference(congruence,[status(thm)],[c755]) ).

cnf(c757,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(inverse(multiply(X6,inverse(X6))),inverse(X)),inverse(X2))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X),inverse(X2))))))),
    inference(congruence,[status(thm)],[c756]) ).

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

cnf(c759,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(inverse(X3),inverse(X4))))))),X3) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X2)),multiply(X2,X2))),multiply(inverse(multiply(X,X3)),multiply(X,inverse(inverse(X3)))))),multiply(inverse(multiply(inverse(multiply(X2,X2)),multiply(X2,X2))),multiply(inverse(multiply(X,X3)),multiply(X,inverse(inverse(X3)))))),inverse(multiply(inverse(multiply(inverse(multiply(X2,X2)),multiply(X2,X2))),multiply(inverse(multiply(X,X3)),multiply(X,inverse(inverse(X3))))))),
    inference(substitution,[status(thm)],[c635]) ).

cnf(c760,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X3)),multiply(X3,X3))),multiply(inverse(multiply(X2,X4)),multiply(X2,inverse(inverse(X4)))))),multiply(inverse(multiply(inverse(multiply(X3,X3)),multiply(X3,X3))),multiply(inverse(multiply(X2,X4)),multiply(X2,inverse(inverse(X4)))))) = multiply(X,inverse(inverse(inverse(X)))),
    inference(substitution,[status(thm)],[c459]) ).

cnf(c761,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X3)),multiply(X3,X3))),multiply(inverse(multiply(X2,X4)),multiply(X2,inverse(inverse(X4)))))),multiply(inverse(multiply(inverse(multiply(X3,X3)),multiply(X3,X3))),multiply(inverse(multiply(X2,X4)),multiply(X2,inverse(inverse(X4)))))),inverse(multiply(inverse(multiply(inverse(multiply(X3,X3)),multiply(X3,X3))),multiply(inverse(multiply(X2,X4)),multiply(X2,inverse(inverse(X4))))))) = multiply(multiply(X,inverse(inverse(inverse(X)))),inverse(multiply(inverse(multiply(inverse(multiply(X3,X3)),multiply(X3,X3))),multiply(inverse(multiply(X2,X4)),multiply(X2,inverse(inverse(X4))))))),
    inference(congruence,[status(thm)],[c760]) ).

cnf(c762,plain,
    multiply(X2,inverse(inverse(inverse(X2)))) = multiply(X,inverse(X)),
    inference(symmetry,[status(thm)],[c530]) ).

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

cnf(c764,plain,
    multiply(inverse(multiply(X2,X2)),multiply(X2,X2)) = multiply(X,inverse(inverse(inverse(X)))),
    inference(substitution,[status(thm)],[c459]) ).

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

cnf(c766,plain,
    multiply(inverse(multiply(inverse(multiply(X3,X3)),multiply(X3,X3))),multiply(inverse(multiply(X2,X4)),multiply(X2,inverse(inverse(X4))))) = multiply(inverse(multiply(X,inverse(inverse(inverse(X))))),multiply(inverse(multiply(X2,X4)),multiply(X2,inverse(inverse(X4))))),
    inference(congruence,[status(thm)],[c765]) ).

cnf(c767,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X3,X3)),multiply(X3,X3))),multiply(inverse(multiply(X2,X4)),multiply(X2,inverse(inverse(X4)))))) = inverse(multiply(inverse(multiply(X,inverse(inverse(inverse(X))))),multiply(inverse(multiply(X2,X4)),multiply(X2,inverse(inverse(X4)))))),
    inference(congruence,[status(thm)],[c766]) ).

cnf(c768,plain,
    multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(inverse(multiply(X4,X4)),multiply(X4,X4))),multiply(inverse(multiply(X3,X5)),multiply(X3,inverse(inverse(X5))))))) = multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X,inverse(inverse(inverse(X))))),multiply(inverse(multiply(X3,X5)),multiply(X3,inverse(inverse(X5))))))),
    inference(congruence,[status(thm)],[c767]) ).

cnf(c769,plain,
    multiply(multiply(X2,X3),inverse(multiply(X2,X3))) = multiply(X,inverse(inverse(inverse(X)))),
    inference(substitution,[status(thm)],[c530]) ).

cnf(c770,plain,
    multiply(X,inverse(inverse(inverse(X)))) = multiply(multiply(X2,X3),inverse(multiply(X2,X3))),
    inference(symmetry,[status(thm)],[c769]) ).

cnf(c771,plain,
    inverse(multiply(X,inverse(inverse(inverse(X))))) = inverse(multiply(multiply(X2,X3),inverse(multiply(X2,X3)))),
    inference(congruence,[status(thm)],[c770]) ).

cnf(c772,plain,
    multiply(inverse(multiply(X,inverse(inverse(inverse(X))))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(X3))))) = multiply(inverse(multiply(multiply(X2,X3),inverse(multiply(X2,X3)))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(X3))))),
    inference(congruence,[status(thm)],[c771]) ).

cnf(c773,plain,
    inverse(multiply(inverse(multiply(X,inverse(inverse(inverse(X))))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(X3)))))) = inverse(multiply(inverse(multiply(multiply(X2,X3),inverse(multiply(X2,X3)))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(X3)))))),
    inference(congruence,[status(thm)],[c772]) ).

cnf(c774,plain,
    multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X,inverse(inverse(inverse(X))))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(inverse(X4))))))) = multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(multiply(X3,X4),inverse(multiply(X3,X4)))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(inverse(X4))))))),
    inference(congruence,[status(thm)],[c773]) ).

cnf(c775,plain,
    multiply(X,inverse(inverse(X2))) = multiply(X,X2),
    inference(congruence,[status(thm)],[c556]) ).

cnf(c776,plain,
    multiply(inverse(multiply(X,X2)),multiply(X,inverse(inverse(X2)))) = multiply(inverse(multiply(X,X2)),multiply(X,X2)),
    inference(congruence,[status(thm)],[c775]) ).

cnf(c777,plain,
    multiply(inverse(multiply(multiply(X,X2),inverse(multiply(X,X2)))),multiply(inverse(multiply(X,X2)),multiply(X,inverse(inverse(X2))))) = multiply(inverse(multiply(multiply(X,X2),inverse(multiply(X,X2)))),multiply(inverse(multiply(X,X2)),multiply(X,X2))),
    inference(congruence,[status(thm)],[c776]) ).

cnf(c778,plain,
    inverse(multiply(inverse(multiply(multiply(X,X2),inverse(multiply(X,X2)))),multiply(inverse(multiply(X,X2)),multiply(X,inverse(inverse(X2)))))) = inverse(multiply(inverse(multiply(multiply(X,X2),inverse(multiply(X,X2)))),multiply(inverse(multiply(X,X2)),multiply(X,X2)))),
    inference(congruence,[status(thm)],[c777]) ).

cnf(c779,plain,
    multiply(multiply(X,inverse(X)),inverse(multiply(inverse(multiply(multiply(X2,X3),inverse(multiply(X2,X3)))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(X3))))))) = multiply(multiply(X,inverse(X)),inverse(multiply(inverse(multiply(multiply(X2,X3),inverse(multiply(X2,X3)))),multiply(inverse(multiply(X2,X3)),multiply(X2,X3))))),
    inference(congruence,[status(thm)],[c778]) ).

cnf(c780,plain,
    inverse(multiply(inverse(multiply(X,X)),multiply(X,X))) = inverse(multiply(inverse(multiply(multiply(X2,X3),inverse(multiply(X2,X3)))),multiply(inverse(multiply(X2,X3)),multiply(X2,X3)))),
    inference(substitution,[status(thm)],[c199]) ).

cnf(c781,plain,
    inverse(multiply(inverse(multiply(multiply(X2,X3),inverse(multiply(X2,X3)))),multiply(inverse(multiply(X2,X3)),multiply(X2,X3)))) = inverse(multiply(inverse(multiply(X,X)),multiply(X,X))),
    inference(symmetry,[status(thm)],[c780]) ).

cnf(c782,plain,
    multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(multiply(X3,X4),inverse(multiply(X3,X4)))),multiply(inverse(multiply(X3,X4)),multiply(X3,X4))))) = multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X,X)),multiply(X,X)))),
    inference(congruence,[status(thm)],[c781]) ).

cnf(c783,plain,
    multiply(inverse(multiply(X2,X2)),multiply(X2,X2)) = multiply(X,inverse(inverse(inverse(X)))),
    inference(substitution,[status(thm)],[c459]) ).

cnf(c784,plain,
    inverse(multiply(inverse(multiply(X2,X2)),multiply(X2,X2))) = inverse(multiply(X,inverse(inverse(inverse(X))))),
    inference(congruence,[status(thm)],[c783]) ).

cnf(c785,plain,
    multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(multiply(X2,X2)),multiply(X2,X2)))) = multiply(multiply(X3,inverse(X3)),inverse(multiply(X,inverse(inverse(inverse(X)))))),
    inference(congruence,[status(thm)],[c784]) ).

cnf(c786,plain,
    multiply(X2,inverse(inverse(inverse(X2)))) = multiply(X,inverse(X)),
    inference(symmetry,[status(thm)],[c530]) ).

cnf(c787,plain,
    inverse(multiply(X2,inverse(inverse(inverse(X2))))) = inverse(multiply(X,inverse(X))),
    inference(congruence,[status(thm)],[c786]) ).

cnf(c788,plain,
    multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,inverse(inverse(inverse(X2)))))) = multiply(multiply(X3,inverse(X3)),inverse(multiply(X,inverse(X)))),
    inference(congruence,[status(thm)],[c787]) ).

cnf(c789,plain,
    multiply(X2,inverse(X2)) = multiply(X,inverse(inverse(inverse(X)))),
    inference(substitution,[status(thm)],[c530]) ).

cnf(c790,plain,
    inverse(multiply(X2,inverse(X2))) = inverse(multiply(X,inverse(inverse(inverse(X))))),
    inference(congruence,[status(thm)],[c789]) ).

cnf(c791,plain,
    multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,inverse(X2)))) = multiply(multiply(X3,inverse(X3)),inverse(multiply(X,inverse(inverse(inverse(X)))))),
    inference(congruence,[status(thm)],[c790]) ).

cnf(c792,plain,
    multiply(inverse(X),X) = multiply(X2,inverse(inverse(inverse(X2)))),
    inference(substitution,[status(thm)],[c459]) ).

cnf(c793,plain,
    multiply(X2,inverse(inverse(inverse(X2)))) = multiply(inverse(X),X),
    inference(symmetry,[status(thm)],[c792]) ).

cnf(c794,plain,
    inverse(multiply(X2,inverse(inverse(inverse(X2))))) = inverse(multiply(inverse(X),X)),
    inference(congruence,[status(thm)],[c793]) ).

cnf(c795,plain,
    multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,inverse(inverse(inverse(X2)))))) = multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(X),X))),
    inference(congruence,[status(thm)],[c794]) ).

cnf(c796,plain,
    multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(X2),X2))) = multiply(multiply(inverse(multiply(inverse(X2),X2)),X),inverse(X)),
    inference(substitution,[status(thm)],[c537]) ).

cnf(c797,plain,
    multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X2),X2))) = multiply(multiply(inverse(multiply(inverse(X2),X2)),X),inverse(X)),
    inference(substitution,[status(thm)],[c280]) ).

cnf(c798,plain,
    multiply(multiply(inverse(multiply(inverse(X2),X2)),X),inverse(X)) = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X2),X2))),
    inference(symmetry,[status(thm)],[c797]) ).

cnf(c799,plain,
    multiply(multiply(inverse(X2),X2),inverse(multiply(X,inverse(X)))) = multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(X3),X3))),
    inference(substitution,[status(thm)],[c414]) ).

cnf(c800,plain,
    multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(X3),X3))) = multiply(multiply(inverse(X2),X2),inverse(multiply(X,inverse(X)))),
    inference(symmetry,[status(thm)],[c799]) ).

cnf(c801,plain,
    multiply(X2,inverse(X2)) = multiply(X,inverse(inverse(inverse(X)))),
    inference(substitution,[status(thm)],[c530]) ).

cnf(c802,plain,
    multiply(X,inverse(inverse(inverse(X)))) = multiply(X2,inverse(X2)),
    inference(symmetry,[status(thm)],[c801]) ).

cnf(c803,plain,
    multiply(inverse(X),X) = multiply(X2,inverse(X2)),
    inference(transitivity,[status(thm)],[c459,c802]) ).

cnf(c804,plain,
    multiply(multiply(inverse(X2),X2),inverse(multiply(X,inverse(X)))) = multiply(X3,inverse(X3)),
    inference(transitivity,[status(thm)],[c434,c803]) ).

cnf(c805,plain,
    multiply(multiply(inverse(X),X),inverse(multiply(inverse(X),X))) = multiply(X2,inverse(X2)),
    inference(transitivity,[status(thm)],[c800,c804]) ).

cnf(c806,plain,
    multiply(multiply(inverse(multiply(inverse(X2),X2)),X),inverse(X)) = multiply(X3,inverse(X3)),
    inference(transitivity,[status(thm)],[c798,c805]) ).

cnf(c807,plain,
    multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(X),X))) = multiply(X2,inverse(X2)),
    inference(transitivity,[status(thm)],[c796,c806]) ).

cnf(c808,plain,
    multiply(multiply(X3,inverse(X3)),inverse(multiply(X,inverse(inverse(inverse(X)))))) = multiply(X2,inverse(X2)),
    inference(transitivity,[status(thm)],[c795,c807]) ).

cnf(c809,plain,
    multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,inverse(X2)))) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c791,c808]) ).

cnf(c810,plain,
    multiply(multiply(X2,inverse(X2)),inverse(multiply(X,inverse(X)))) = multiply(X3,inverse(X3)),
    inference(substitution,[status(thm)],[c809]) ).

cnf(c811,plain,
    multiply(multiply(X2,inverse(X2)),inverse(multiply(X,inverse(inverse(inverse(X)))))) = multiply(X3,inverse(X3)),
    inference(transitivity,[status(thm)],[c788,c810]) ).

cnf(c812,plain,
    multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X,X)),multiply(X,X)))) = multiply(X3,inverse(X3)),
    inference(transitivity,[status(thm)],[c785,c811]) ).

cnf(c813,plain,
    multiply(multiply(X,inverse(X)),inverse(multiply(inverse(multiply(multiply(X2,X3),inverse(multiply(X2,X3)))),multiply(inverse(multiply(X2,X3)),multiply(X2,X3))))) = multiply(X4,inverse(X4)),
    inference(transitivity,[status(thm)],[c782,c812]) ).

cnf(c814,plain,
    multiply(multiply(X,inverse(X)),inverse(multiply(inverse(multiply(multiply(X2,X3),inverse(multiply(X2,X3)))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(X3))))))) = multiply(X4,inverse(X4)),
    inference(transitivity,[status(thm)],[c779,c813]) ).

cnf(c815,plain,
    multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X,inverse(inverse(inverse(X))))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(inverse(X4))))))) = multiply(X5,inverse(X5)),
    inference(transitivity,[status(thm)],[c774,c814]) ).

cnf(c816,plain,
    multiply(multiply(X,inverse(X)),inverse(multiply(inverse(multiply(inverse(multiply(X3,X3)),multiply(X3,X3))),multiply(inverse(multiply(X2,X4)),multiply(X2,inverse(inverse(X4))))))) = multiply(X5,inverse(X5)),
    inference(transitivity,[status(thm)],[c768,c815]) ).

cnf(c817,plain,
    multiply(multiply(X,inverse(inverse(inverse(X)))),inverse(multiply(inverse(multiply(inverse(multiply(X3,X3)),multiply(X3,X3))),multiply(inverse(multiply(X2,X4)),multiply(X2,inverse(inverse(X4))))))) = multiply(X5,inverse(X5)),
    inference(transitivity,[status(thm)],[c763,c816]) ).

cnf(c818,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X2)),multiply(X2,X2))),multiply(inverse(multiply(X,X3)),multiply(X,inverse(inverse(X3)))))),multiply(inverse(multiply(inverse(multiply(X2,X2)),multiply(X2,X2))),multiply(inverse(multiply(X,X3)),multiply(X,inverse(inverse(X3)))))),inverse(multiply(inverse(multiply(inverse(multiply(X2,X2)),multiply(X2,X2))),multiply(inverse(multiply(X,X3)),multiply(X,inverse(inverse(X3))))))) = multiply(X4,inverse(X4)),
    inference(transitivity,[status(thm)],[c761,c817]) ).

cnf(c819,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X),inverse(X2))))))),X) = multiply(X6,inverse(X6)),
    inference(transitivity,[status(thm)],[c759,c818]) ).

cnf(c820,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(inverse(multiply(X7,inverse(X7))),inverse(X)),inverse(X2))))))),X) = multiply(X6,inverse(X6)),
    inference(transitivity,[status(thm)],[c758,c819]) ).

cnf(c821,plain,
    inverse(multiply(X2,inverse(X2))) = multiply(X,inverse(X)),
    inference(transitivity,[status(thm)],[c599,c820]) ).

cnf(c822,plain,
    inverse(multiply(X,inverse(X))) = multiply(X2,inverse(X2)),
    inference(substitution,[status(thm)],[c821]) ).

cnf(c823,plain,
    multiply(inverse(multiply(X,inverse(X))),multiply(X3,multiply(X,inverse(X)))) = multiply(multiply(X2,inverse(X2)),multiply(X3,multiply(X,inverse(X)))),
    inference(congruence,[status(thm)],[c822]) ).

cnf(c824,plain,
    multiply(inverse(X),multiply(X3,X)) = multiply(X2,multiply(X3,inverse(X2))),
    inference(substitution,[status(thm)],[c558]) ).

cnf(c825,plain,
    multiply(X2,multiply(X3,inverse(X2))) = multiply(inverse(X),multiply(X3,X)),
    inference(symmetry,[status(thm)],[c824]) ).

cnf(c826,plain,
    multiply(inverse(X),X) = multiply(X2,inverse(inverse(inverse(X2)))),
    inference(substitution,[status(thm)],[c459]) ).

cnf(c827,plain,
    multiply(X3,multiply(inverse(X),X)) = multiply(X3,multiply(X2,inverse(inverse(inverse(X2))))),
    inference(congruence,[status(thm)],[c826]) ).

cnf(c828,plain,
    multiply(X2,inverse(X2)) = multiply(X,inverse(inverse(inverse(X)))),
    inference(substitution,[status(thm)],[c530]) ).

cnf(c829,plain,
    multiply(X,inverse(inverse(inverse(X)))) = multiply(X2,inverse(X2)),
    inference(symmetry,[status(thm)],[c828]) ).

cnf(c830,plain,
    multiply(X3,multiply(X,inverse(inverse(inverse(X))))) = multiply(X3,multiply(X2,inverse(X2))),
    inference(congruence,[status(thm)],[c829]) ).

cnf(c831,plain,
    multiply(X3,multiply(inverse(X),X)) = multiply(X3,multiply(X2,inverse(X2))),
    inference(transitivity,[status(thm)],[c827,c830]) ).

cnf(c832,plain,
    multiply(inverse(X),multiply(X3,X)) = multiply(X3,multiply(X2,inverse(X2))),
    inference(transitivity,[status(thm)],[c304,c831]) ).

cnf(c833,plain,
    multiply(X,multiply(X3,inverse(X))) = multiply(X3,multiply(X2,inverse(X2))),
    inference(transitivity,[status(thm)],[c825,c832]) ).

cnf(c834,plain,
    multiply(X3,multiply(X2,inverse(X3))) = multiply(X2,multiply(X,inverse(X))),
    inference(substitution,[status(thm)],[c833]) ).

cnf(c835,plain,
    multiply(X2,multiply(X,inverse(X))) = multiply(X3,multiply(X2,inverse(X3))),
    inference(symmetry,[status(thm)],[c834]) ).

cnf(c836,plain,
    multiply(multiply(X2,inverse(X2)),multiply(X3,multiply(X,inverse(X)))) = multiply(multiply(X2,inverse(X2)),multiply(X4,multiply(X3,inverse(X4)))),
    inference(congruence,[status(thm)],[c835]) ).

cnf(c837,plain,
    X = inverse(inverse(X)),
    inference(symmetry,[status(thm)],[c556]) ).

cnf(c838,plain,
    multiply(X2,X) = multiply(inverse(inverse(X2)),X),
    inference(congruence,[status(thm)],[c837]) ).

cnf(c839,plain,
    multiply(multiply(X3,inverse(X3)),multiply(X2,X)) = multiply(multiply(X3,inverse(X3)),multiply(inverse(inverse(X2)),X)),
    inference(congruence,[status(thm)],[c838]) ).

cnf(c840,plain,
    multiply(X2,inverse(X2)) = multiply(X,inverse(inverse(inverse(X)))),
    inference(substitution,[status(thm)],[c530]) ).

cnf(c841,plain,
    multiply(multiply(X4,inverse(X4)),multiply(inverse(inverse(X3)),X2)) = multiply(multiply(X,inverse(inverse(inverse(X)))),multiply(inverse(inverse(X3)),X2)),
    inference(congruence,[status(thm)],[c840]) ).

cnf(c842,plain,
    multiply(inverse(X),X) = multiply(X2,inverse(inverse(inverse(X2)))),
    inference(substitution,[status(thm)],[c459]) ).

cnf(c843,plain,
    multiply(X2,inverse(inverse(inverse(X2)))) = multiply(inverse(X),X),
    inference(symmetry,[status(thm)],[c842]) ).

cnf(c844,plain,
    multiply(multiply(X2,inverse(inverse(inverse(X2)))),multiply(inverse(inverse(X4)),X3)) = multiply(multiply(inverse(X),X),multiply(inverse(inverse(X4)),X3)),
    inference(congruence,[status(thm)],[c843]) ).

cnf(c845,plain,
    multiply(multiply(multiply(inverse(X),X),inverse(inverse(X4))),inverse(inverse(X3))) = multiply(multiply(inverse(X2),X2),multiply(inverse(inverse(X4)),X3)),
    inference(substitution,[status(thm)],[c441]) ).

cnf(c846,plain,
    multiply(multiply(inverse(X2),X2),multiply(inverse(inverse(X4)),X3)) = multiply(multiply(multiply(inverse(X),X),inverse(inverse(X4))),inverse(inverse(X3))),
    inference(symmetry,[status(thm)],[c845]) ).

cnf(c847,plain,
    multiply(multiply(inverse(X),X),inverse(inverse(X2))) = X2,
    inference(substitution,[status(thm)],[c454]) ).

cnf(c848,plain,
    multiply(multiply(multiply(inverse(X),X),inverse(inverse(X3))),inverse(inverse(X2))) = multiply(X3,inverse(inverse(X2))),
    inference(congruence,[status(thm)],[c847]) ).

cnf(c849,plain,
    multiply(multiply(inverse(X),X),multiply(inverse(inverse(X3)),X2)) = multiply(X3,inverse(inverse(X2))),
    inference(transitivity,[status(thm)],[c846,c848]) ).

cnf(c850,plain,
    multiply(multiply(X,inverse(inverse(inverse(X)))),multiply(inverse(inverse(X3)),X2)) = multiply(X3,inverse(inverse(X2))),
    inference(transitivity,[status(thm)],[c844,c849]) ).

cnf(c851,plain,
    multiply(multiply(X3,inverse(X3)),multiply(inverse(inverse(X2)),X)) = multiply(X2,inverse(inverse(X))),
    inference(transitivity,[status(thm)],[c841,c850]) ).

cnf(c852,plain,
    multiply(multiply(X3,inverse(X3)),multiply(X2,X)) = multiply(X2,inverse(inverse(X))),
    inference(transitivity,[status(thm)],[c839,c851]) ).

cnf(c853,plain,
    multiply(multiply(X,inverse(X)),multiply(X3,multiply(X2,inverse(X3)))) = multiply(X3,inverse(inverse(multiply(X2,inverse(X3))))),
    inference(substitution,[status(thm)],[c852]) ).

cnf(c854,plain,
    multiply(multiply(X2,inverse(X2)),multiply(X3,multiply(X,inverse(X)))) = multiply(X4,inverse(inverse(multiply(X3,inverse(X4))))),
    inference(transitivity,[status(thm)],[c836,c853]) ).

cnf(c855,plain,
    multiply(inverse(multiply(X,inverse(X))),multiply(X2,multiply(X,inverse(X)))) = multiply(X3,inverse(inverse(multiply(X2,inverse(X3))))),
    inference(transitivity,[status(thm)],[c823,c854]) ).

cnf(c856,plain,
    multiply(X,multiply(X2,inverse(X))) = multiply(X3,inverse(inverse(multiply(X2,inverse(X3))))),
    inference(transitivity,[status(thm)],[c597,c855]) ).

cnf(c857,plain,
    multiply(X2,multiply(X,inverse(X2))) = multiply(X,inverse(inverse(multiply(X,inverse(X))))),
    inference(substitution,[status(thm)],[c856]) ).

cnf(c858,plain,
    inverse(multiply(X2,multiply(X,inverse(X2)))) = inverse(multiply(X,inverse(inverse(multiply(X,inverse(X)))))),
    inference(congruence,[status(thm)],[c857]) ).

cnf(c859,plain,
    multiply(inverse(multiply(X2,multiply(X,inverse(X2)))),X) = multiply(inverse(multiply(X,inverse(inverse(multiply(X,inverse(X)))))),X),
    inference(congruence,[status(thm)],[c858]) ).

cnf(c860,plain,
    multiply(multiply(inverse(multiply(X2,multiply(X,inverse(X2)))),X),X3) = multiply(multiply(inverse(multiply(X,inverse(inverse(multiply(X,inverse(X)))))),X),X3),
    inference(congruence,[status(thm)],[c859]) ).

cnf(c861,plain,
    multiply(multiply(X,inverse(X)),multiply(X2,multiply(X2,inverse(X2)))) = multiply(X2,inverse(inverse(multiply(X2,inverse(X2))))),
    inference(substitution,[status(thm)],[c852]) ).

cnf(c862,plain,
    multiply(X2,inverse(inverse(multiply(X2,inverse(X2))))) = multiply(multiply(X,inverse(X)),multiply(X2,multiply(X2,inverse(X2)))),
    inference(symmetry,[status(thm)],[c861]) ).

cnf(c863,plain,
    inverse(multiply(X2,inverse(inverse(multiply(X2,inverse(X2)))))) = inverse(multiply(multiply(X,inverse(X)),multiply(X2,multiply(X2,inverse(X2))))),
    inference(congruence,[status(thm)],[c862]) ).

cnf(c864,plain,
    multiply(inverse(multiply(X2,inverse(inverse(multiply(X2,inverse(X2)))))),X2) = multiply(inverse(multiply(multiply(X,inverse(X)),multiply(X2,multiply(X2,inverse(X2))))),X2),
    inference(congruence,[status(thm)],[c863]) ).

cnf(c865,plain,
    multiply(multiply(inverse(multiply(X2,inverse(inverse(multiply(X2,inverse(X2)))))),X2),X3) = multiply(multiply(inverse(multiply(multiply(X,inverse(X)),multiply(X2,multiply(X2,inverse(X2))))),X2),X3),
    inference(congruence,[status(thm)],[c864]) ).

cnf(c866,plain,
    inverse(inverse(multiply(X,multiply(X,inverse(X))))) = multiply(X,multiply(X,inverse(X))),
    inference(substitution,[status(thm)],[c556]) ).

cnf(c867,plain,
    multiply(X,multiply(X,inverse(X))) = inverse(inverse(multiply(X,multiply(X,inverse(X))))),
    inference(symmetry,[status(thm)],[c866]) ).

cnf(c868,plain,
    multiply(multiply(X,inverse(X)),multiply(X2,multiply(X2,inverse(X2)))) = multiply(multiply(X,inverse(X)),inverse(inverse(multiply(X2,multiply(X2,inverse(X2)))))),
    inference(congruence,[status(thm)],[c867]) ).

cnf(c869,plain,
    inverse(multiply(multiply(X,inverse(X)),multiply(X2,multiply(X2,inverse(X2))))) = inverse(multiply(multiply(X,inverse(X)),inverse(inverse(multiply(X2,multiply(X2,inverse(X2))))))),
    inference(congruence,[status(thm)],[c868]) ).

cnf(c870,plain,
    multiply(inverse(multiply(multiply(X,inverse(X)),multiply(X2,multiply(X2,inverse(X2))))),X2) = multiply(inverse(multiply(multiply(X,inverse(X)),inverse(inverse(multiply(X2,multiply(X2,inverse(X2))))))),X2),
    inference(congruence,[status(thm)],[c869]) ).

cnf(c871,plain,
    multiply(multiply(inverse(multiply(multiply(X,inverse(X)),multiply(X2,multiply(X2,inverse(X2))))),X2),X3) = multiply(multiply(inverse(multiply(multiply(X,inverse(X)),inverse(inverse(multiply(X2,multiply(X2,inverse(X2))))))),X2),X3),
    inference(congruence,[status(thm)],[c870]) ).

cnf(c872,plain,
    multiply(X2,inverse(X2)) = multiply(X,inverse(inverse(inverse(X)))),
    inference(substitution,[status(thm)],[c530]) ).

cnf(c873,plain,
    multiply(multiply(X4,inverse(X4)),multiply(multiply(X3,inverse(X3)),X2)) = multiply(multiply(X,inverse(inverse(inverse(X)))),multiply(multiply(X3,inverse(X3)),X2)),
    inference(congruence,[status(thm)],[c872]) ).

cnf(c874,plain,
    multiply(inverse(X),X) = multiply(X2,inverse(inverse(inverse(X2)))),
    inference(substitution,[status(thm)],[c459]) ).

cnf(c875,plain,
    multiply(X2,inverse(inverse(inverse(X2)))) = multiply(inverse(X),X),
    inference(symmetry,[status(thm)],[c874]) ).

cnf(c876,plain,
    multiply(multiply(X2,inverse(inverse(inverse(X2)))),multiply(multiply(X4,inverse(X4)),X3)) = multiply(multiply(inverse(X),X),multiply(multiply(X4,inverse(X4)),X3)),
    inference(congruence,[status(thm)],[c875]) ).

cnf(c877,plain,
    multiply(multiply(multiply(X3,X),inverse(X)),inverse(inverse(X2))) = multiply(multiply(multiply(X3,X2),inverse(X2)),inverse(inverse(X2))),
    inference(congruence,[status(thm)],[c39]) ).

cnf(c878,plain,
    multiply(multiply(multiply(X3,X2),X),inverse(X)) = multiply(multiply(multiply(X3,X2),inverse(X2)),inverse(inverse(X2))),
    inference(substitution,[status(thm)],[c39]) ).

cnf(c879,plain,
    multiply(multiply(multiply(X3,X2),inverse(X2)),inverse(inverse(X2))) = multiply(multiply(multiply(X3,X2),X),inverse(X)),
    inference(symmetry,[status(thm)],[c878]) ).

cnf(c880,plain,
    multiply(multiply(multiply(X4,X),inverse(X)),inverse(inverse(X3))) = multiply(multiply(multiply(X4,X3),X2),inverse(X2)),
    inference(transitivity,[status(thm)],[c877,c879]) ).

cnf(c881,plain,
    multiply(multiply(multiply(X4,X3),inverse(X3)),inverse(inverse(X2))) = multiply(multiply(multiply(X4,X2),X),inverse(X)),
    inference(substitution,[status(thm)],[c880]) ).

cnf(c882,plain,
    multiply(multiply(inverse(X2),X2),multiply(X4,X3)) = multiply(multiply(multiply(X4,X3),X),inverse(X)),
    inference(substitution,[status(thm)],[c285]) ).

cnf(c883,plain,
    multiply(multiply(multiply(X4,X3),X),inverse(X)) = multiply(multiply(inverse(X2),X2),multiply(X4,X3)),
    inference(symmetry,[status(thm)],[c882]) ).

cnf(c884,plain,
    multiply(multiply(multiply(X4,X3),inverse(X3)),inverse(inverse(X2))) = multiply(multiply(inverse(X),X),multiply(X4,X2)),
    inference(transitivity,[status(thm)],[c881,c883]) ).

cnf(c885,plain,
    multiply(multiply(multiply(multiply(X4,inverse(X4)),X),inverse(X)),inverse(inverse(X3))) = multiply(multiply(inverse(X2),X2),multiply(multiply(X4,inverse(X4)),X3)),
    inference(substitution,[status(thm)],[c884]) ).

cnf(c886,plain,
    multiply(multiply(inverse(X2),X2),multiply(multiply(X4,inverse(X4)),X3)) = multiply(multiply(multiply(multiply(X4,inverse(X4)),X),inverse(X)),inverse(inverse(X3))),
    inference(symmetry,[status(thm)],[c885]) ).

cnf(c887,plain,
    multiply(multiply(X3,inverse(X3)),X2) = multiply(multiply(X2,X),inverse(X)),
    inference(substitution,[status(thm)],[c537]) ).

cnf(c888,plain,
    multiply(multiply(multiply(X3,inverse(X3)),X2),inverse(X2)) = multiply(multiply(multiply(X2,X),inverse(X)),inverse(X2)),
    inference(congruence,[status(thm)],[c887]) ).

cnf(c889,plain,
    multiply(multiply(multiply(multiply(X4,inverse(X4)),X2),inverse(X2)),inverse(inverse(X3))) = multiply(multiply(multiply(multiply(X2,X),inverse(X)),inverse(X2)),inverse(inverse(X3))),
    inference(congruence,[status(thm)],[c888]) ).

cnf(c890,plain,
    multiply(multiply(multiply(multiply(X4,X3),inverse(X3)),inverse(X4)),inverse(inverse(X5))) = multiply(multiply(inverse(X2),multiply(multiply(X2,X),inverse(X))),inverse(inverse(X5))),
    inference(congruence,[status(thm)],[c524]) ).

cnf(c891,plain,
    multiply(multiply(inverse(X3),multiply(multiply(X3,X2),inverse(X2))),inverse(inverse(X4))) = multiply(multiply(inverse(X),X),inverse(inverse(X4))),
    inference(congruence,[status(thm)],[c391]) ).

cnf(c892,plain,
    multiply(multiply(inverse(X2),X2),inverse(inverse(X3))) = multiply(multiply(X,inverse(inverse(inverse(X)))),inverse(inverse(X3))),
    inference(congruence,[status(thm)],[c459]) ).

cnf(c893,plain,
    multiply(X2,inverse(X2)) = multiply(X,inverse(inverse(inverse(X)))),
    inference(substitution,[status(thm)],[c530]) ).

cnf(c894,plain,
    multiply(X,inverse(inverse(inverse(X)))) = multiply(X2,inverse(X2)),
    inference(symmetry,[status(thm)],[c893]) ).

cnf(c895,plain,
    multiply(multiply(X,inverse(inverse(inverse(X)))),inverse(inverse(X3))) = multiply(multiply(X2,inverse(X2)),inverse(inverse(X3))),
    inference(congruence,[status(thm)],[c894]) ).

cnf(c896,plain,
    multiply(multiply(inverse(X),X),inverse(inverse(X3))) = multiply(multiply(X2,inverse(X2)),inverse(inverse(X3))),
    inference(transitivity,[status(thm)],[c892,c895]) ).

cnf(c897,plain,
    multiply(multiply(inverse(X2),multiply(multiply(X2,X),inverse(X))),inverse(inverse(X4))) = multiply(multiply(X3,inverse(X3)),inverse(inverse(X4))),
    inference(transitivity,[status(thm)],[c891,c896]) ).

cnf(c898,plain,
    multiply(multiply(multiply(multiply(X2,X),inverse(X)),inverse(X2)),inverse(inverse(X4))) = multiply(multiply(X3,inverse(X3)),inverse(inverse(X4))),
    inference(transitivity,[status(thm)],[c890,c897]) ).

cnf(c899,plain,
    multiply(multiply(multiply(multiply(X4,inverse(X4)),X),inverse(X)),inverse(inverse(X3))) = multiply(multiply(X2,inverse(X2)),inverse(inverse(X3))),
    inference(transitivity,[status(thm)],[c889,c898]) ).

cnf(c900,plain,
    multiply(multiply(inverse(X),X),multiply(multiply(X4,inverse(X4)),X3)) = multiply(multiply(X2,inverse(X2)),inverse(inverse(X3))),
    inference(transitivity,[status(thm)],[c886,c899]) ).

cnf(c901,plain,
    multiply(multiply(X,inverse(inverse(inverse(X)))),multiply(multiply(X4,inverse(X4)),X3)) = multiply(multiply(X2,inverse(X2)),inverse(inverse(X3))),
    inference(transitivity,[status(thm)],[c876,c900]) ).

cnf(c902,plain,
    multiply(multiply(X4,inverse(X4)),multiply(multiply(X3,inverse(X3)),X2)) = multiply(multiply(X,inverse(X)),inverse(inverse(X2))),
    inference(transitivity,[status(thm)],[c873,c901]) ).

cnf(c903,plain,
    multiply(multiply(X2,inverse(X2)),multiply(multiply(X,inverse(X)),multiply(X4,multiply(X4,inverse(X4))))) = multiply(multiply(X3,inverse(X3)),inverse(inverse(multiply(X4,multiply(X4,inverse(X4)))))),
    inference(substitution,[status(thm)],[c902]) ).

cnf(c904,plain,
    multiply(multiply(X3,inverse(X3)),inverse(inverse(multiply(X4,multiply(X4,inverse(X4)))))) = multiply(multiply(X2,inverse(X2)),multiply(multiply(X,inverse(X)),multiply(X4,multiply(X4,inverse(X4))))),
    inference(symmetry,[status(thm)],[c903]) ).

cnf(c905,plain,
    inverse(multiply(multiply(X3,inverse(X3)),inverse(inverse(multiply(X4,multiply(X4,inverse(X4))))))) = inverse(multiply(multiply(X2,inverse(X2)),multiply(multiply(X,inverse(X)),multiply(X4,multiply(X4,inverse(X4)))))),
    inference(congruence,[status(thm)],[c904]) ).

cnf(c906,plain,
    multiply(inverse(multiply(multiply(X3,inverse(X3)),inverse(inverse(multiply(X4,multiply(X4,inverse(X4))))))),X4) = multiply(inverse(multiply(multiply(X2,inverse(X2)),multiply(multiply(X,inverse(X)),multiply(X4,multiply(X4,inverse(X4)))))),X4),
    inference(congruence,[status(thm)],[c905]) ).

cnf(c907,plain,
    multiply(multiply(inverse(multiply(multiply(X3,inverse(X3)),inverse(inverse(multiply(X4,multiply(X4,inverse(X4))))))),X4),X5) = multiply(multiply(inverse(multiply(multiply(X2,inverse(X2)),multiply(multiply(X,inverse(X)),multiply(X4,multiply(X4,inverse(X4)))))),X4),X5),
    inference(congruence,[status(thm)],[c906]) ).

cnf(c908,plain,
    inverse(multiply(X,inverse(X))) = multiply(X2,inverse(X2)),
    inference(substitution,[status(thm)],[c821]) ).

cnf(c909,plain,
    multiply(X2,inverse(X2)) = inverse(multiply(X,inverse(X))),
    inference(symmetry,[status(thm)],[c908]) ).

cnf(c910,plain,
    multiply(multiply(X3,inverse(X3)),multiply(multiply(X2,inverse(X2)),multiply(X4,multiply(X4,inverse(X4))))) = multiply(inverse(multiply(X,inverse(X))),multiply(multiply(X2,inverse(X2)),multiply(X4,multiply(X4,inverse(X4))))),
    inference(congruence,[status(thm)],[c909]) ).

cnf(c911,plain,
    inverse(multiply(multiply(X3,inverse(X3)),multiply(multiply(X2,inverse(X2)),multiply(X4,multiply(X4,inverse(X4)))))) = inverse(multiply(inverse(multiply(X,inverse(X))),multiply(multiply(X2,inverse(X2)),multiply(X4,multiply(X4,inverse(X4)))))),
    inference(congruence,[status(thm)],[c910]) ).

cnf(c912,plain,
    multiply(inverse(multiply(multiply(X3,inverse(X3)),multiply(multiply(X2,inverse(X2)),multiply(X4,multiply(X4,inverse(X4)))))),X4) = multiply(inverse(multiply(inverse(multiply(X,inverse(X))),multiply(multiply(X2,inverse(X2)),multiply(X4,multiply(X4,inverse(X4)))))),X4),
    inference(congruence,[status(thm)],[c911]) ).

cnf(c913,plain,
    multiply(multiply(inverse(multiply(multiply(X3,inverse(X3)),multiply(multiply(X2,inverse(X2)),multiply(X4,multiply(X4,inverse(X4)))))),X4),X5) = multiply(multiply(inverse(multiply(inverse(multiply(X,inverse(X))),multiply(multiply(X2,inverse(X2)),multiply(X4,multiply(X4,inverse(X4)))))),X4),X5),
    inference(congruence,[status(thm)],[c912]) ).

cnf(c914,plain,
    multiply(X,inverse(X)) = inverse(multiply(X2,inverse(X2))),
    inference(symmetry,[status(thm)],[c821]) ).

cnf(c915,plain,
    multiply(multiply(X,inverse(X)),multiply(X2,multiply(X2,inverse(X2)))) = multiply(inverse(multiply(X2,inverse(X2))),multiply(X2,multiply(X2,inverse(X2)))),
    inference(congruence,[status(thm)],[c914]) ).

cnf(c916,plain,
    multiply(inverse(multiply(X,inverse(X))),multiply(multiply(X2,inverse(X2)),multiply(X3,multiply(X3,inverse(X3))))) = multiply(inverse(multiply(X,inverse(X))),multiply(inverse(multiply(X3,inverse(X3))),multiply(X3,multiply(X3,inverse(X3))))),
    inference(congruence,[status(thm)],[c915]) ).

cnf(c917,plain,
    inverse(multiply(inverse(multiply(X,inverse(X))),multiply(multiply(X2,inverse(X2)),multiply(X3,multiply(X3,inverse(X3)))))) = inverse(multiply(inverse(multiply(X,inverse(X))),multiply(inverse(multiply(X3,inverse(X3))),multiply(X3,multiply(X3,inverse(X3)))))),
    inference(congruence,[status(thm)],[c916]) ).

cnf(c918,plain,
    multiply(inverse(multiply(inverse(multiply(X,inverse(X))),multiply(multiply(X2,inverse(X2)),multiply(X3,multiply(X3,inverse(X3)))))),X3) = multiply(inverse(multiply(inverse(multiply(X,inverse(X))),multiply(inverse(multiply(X3,inverse(X3))),multiply(X3,multiply(X3,inverse(X3)))))),X3),
    inference(congruence,[status(thm)],[c917]) ).

cnf(c919,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(X,inverse(X))),multiply(multiply(X2,inverse(X2)),multiply(X3,multiply(X3,inverse(X3)))))),X3),X4) = multiply(multiply(inverse(multiply(inverse(multiply(X,inverse(X))),multiply(inverse(multiply(X3,inverse(X3))),multiply(X3,multiply(X3,inverse(X3)))))),X3),X4),
    inference(congruence,[status(thm)],[c918]) ).

cnf(c920,plain,
    multiply(X,inverse(X)) = inverse(multiply(X2,inverse(X2))),
    inference(symmetry,[status(thm)],[c821]) ).

cnf(c921,plain,
    multiply(X,multiply(X,inverse(X))) = multiply(X,inverse(multiply(X2,inverse(X2)))),
    inference(congruence,[status(thm)],[c920]) ).

cnf(c922,plain,
    multiply(inverse(multiply(X,inverse(X))),multiply(X,multiply(X,inverse(X)))) = multiply(inverse(multiply(X,inverse(X))),multiply(X,inverse(multiply(X2,inverse(X2))))),
    inference(congruence,[status(thm)],[c921]) ).

cnf(c923,plain,
    multiply(inverse(multiply(X,inverse(X))),multiply(inverse(multiply(X2,inverse(X2))),multiply(X2,multiply(X2,inverse(X2))))) = multiply(inverse(multiply(X,inverse(X))),multiply(inverse(multiply(X2,inverse(X2))),multiply(X2,inverse(multiply(X3,inverse(X3)))))),
    inference(congruence,[status(thm)],[c922]) ).

cnf(c924,plain,
    inverse(multiply(inverse(multiply(X,inverse(X))),multiply(inverse(multiply(X2,inverse(X2))),multiply(X2,multiply(X2,inverse(X2)))))) = inverse(multiply(inverse(multiply(X,inverse(X))),multiply(inverse(multiply(X2,inverse(X2))),multiply(X2,inverse(multiply(X3,inverse(X3))))))),
    inference(congruence,[status(thm)],[c923]) ).

cnf(c925,plain,
    multiply(inverse(multiply(inverse(multiply(X,inverse(X))),multiply(inverse(multiply(X2,inverse(X2))),multiply(X2,multiply(X2,inverse(X2)))))),X2) = multiply(inverse(multiply(inverse(multiply(X,inverse(X))),multiply(inverse(multiply(X2,inverse(X2))),multiply(X2,inverse(multiply(X3,inverse(X3))))))),X2),
    inference(congruence,[status(thm)],[c924]) ).

cnf(c926,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(X,inverse(X))),multiply(inverse(multiply(X2,inverse(X2))),multiply(X2,multiply(X2,inverse(X2)))))),X2),X3) = multiply(multiply(inverse(multiply(inverse(multiply(X,inverse(X))),multiply(inverse(multiply(X2,inverse(X2))),multiply(X2,inverse(multiply(X3,inverse(X3))))))),X2),X3),
    inference(congruence,[status(thm)],[c925]) ).

cnf(c927,plain,
    multiply(X2,inverse(X2)) = multiply(X,inverse(inverse(inverse(X)))),
    inference(substitution,[status(thm)],[c530]) ).

cnf(c928,plain,
    inverse(multiply(X2,inverse(X2))) = inverse(multiply(X,inverse(inverse(inverse(X))))),
    inference(congruence,[status(thm)],[c927]) ).

cnf(c929,plain,
    multiply(inverse(multiply(X2,inverse(X2))),multiply(inverse(multiply(X3,inverse(X3))),multiply(X3,inverse(multiply(X4,inverse(X4)))))) = multiply(inverse(multiply(X,inverse(inverse(inverse(X))))),multiply(inverse(multiply(X3,inverse(X3))),multiply(X3,inverse(multiply(X4,inverse(X4)))))),
    inference(congruence,[status(thm)],[c928]) ).

cnf(c930,plain,
    inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(inverse(multiply(X3,inverse(X3))),multiply(X3,inverse(multiply(X4,inverse(X4))))))) = inverse(multiply(inverse(multiply(X,inverse(inverse(inverse(X))))),multiply(inverse(multiply(X3,inverse(X3))),multiply(X3,inverse(multiply(X4,inverse(X4))))))),
    inference(congruence,[status(thm)],[c929]) ).

cnf(c931,plain,
    multiply(inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(inverse(multiply(X3,inverse(X3))),multiply(X3,inverse(multiply(X4,inverse(X4))))))),X3) = multiply(inverse(multiply(inverse(multiply(X,inverse(inverse(inverse(X))))),multiply(inverse(multiply(X3,inverse(X3))),multiply(X3,inverse(multiply(X4,inverse(X4))))))),X3),
    inference(congruence,[status(thm)],[c930]) ).

cnf(c932,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(inverse(multiply(X3,inverse(X3))),multiply(X3,inverse(multiply(X4,inverse(X4))))))),X3),X4) = multiply(multiply(inverse(multiply(inverse(multiply(X,inverse(inverse(inverse(X))))),multiply(inverse(multiply(X3,inverse(X3))),multiply(X3,inverse(multiply(X4,inverse(X4))))))),X3),X4),
    inference(congruence,[status(thm)],[c931]) ).

cnf(c933,plain,
    multiply(inverse(multiply(X,X)),multiply(X,X)) = multiply(X2,inverse(inverse(inverse(X2)))),
    inference(substitution,[status(thm)],[c459]) ).

cnf(c934,plain,
    multiply(X2,inverse(inverse(inverse(X2)))) = multiply(inverse(multiply(X,X)),multiply(X,X)),
    inference(symmetry,[status(thm)],[c933]) ).

cnf(c935,plain,
    inverse(multiply(X2,inverse(inverse(inverse(X2))))) = inverse(multiply(inverse(multiply(X,X)),multiply(X,X))),
    inference(congruence,[status(thm)],[c934]) ).

cnf(c936,plain,
    multiply(inverse(multiply(X2,inverse(inverse(inverse(X2))))),multiply(inverse(multiply(X3,inverse(X3))),multiply(X3,inverse(multiply(X4,inverse(X4)))))) = multiply(inverse(multiply(inverse(multiply(X,X)),multiply(X,X))),multiply(inverse(multiply(X3,inverse(X3))),multiply(X3,inverse(multiply(X4,inverse(X4)))))),
    inference(congruence,[status(thm)],[c935]) ).

cnf(c937,plain,
    inverse(multiply(inverse(multiply(X2,inverse(inverse(inverse(X2))))),multiply(inverse(multiply(X3,inverse(X3))),multiply(X3,inverse(multiply(X4,inverse(X4))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X,X)),multiply(X,X))),multiply(inverse(multiply(X3,inverse(X3))),multiply(X3,inverse(multiply(X4,inverse(X4))))))),
    inference(congruence,[status(thm)],[c936]) ).

cnf(c938,plain,
    multiply(inverse(multiply(inverse(multiply(X2,inverse(inverse(inverse(X2))))),multiply(inverse(multiply(X3,inverse(X3))),multiply(X3,inverse(multiply(X4,inverse(X4))))))),X3) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,X)),multiply(X,X))),multiply(inverse(multiply(X3,inverse(X3))),multiply(X3,inverse(multiply(X4,inverse(X4))))))),X3),
    inference(congruence,[status(thm)],[c937]) ).

cnf(c939,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(X2,inverse(inverse(inverse(X2))))),multiply(inverse(multiply(X3,inverse(X3))),multiply(X3,inverse(multiply(X4,inverse(X4))))))),X3),X4) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,X)),multiply(X,X))),multiply(inverse(multiply(X3,inverse(X3))),multiply(X3,inverse(multiply(X4,inverse(X4))))))),X3),X4),
    inference(congruence,[status(thm)],[c938]) ).

cnf(c940,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X7,inverse(X7)),inverse(X))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X5)),multiply(X5,X5))),multiply(inverse(multiply(X6,inverse(X6))),multiply(X6,inverse(multiply(X7,inverse(X7))))))),X6),
    inference(substitution,[status(thm)],[c337]) ).

cnf(c941,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X5)),multiply(X5,X5))),multiply(inverse(multiply(X6,inverse(X6))),multiply(X6,inverse(multiply(X7,inverse(X7))))))),X6) = inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X7,inverse(X7)),inverse(X))))))),
    inference(symmetry,[status(thm)],[c940]) ).

cnf(c942,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X5)),multiply(X5,X5))),multiply(inverse(multiply(X6,inverse(X6))),multiply(X6,inverse(multiply(X7,inverse(X7))))))),X6),X7) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X7,inverse(X7)),inverse(X))))))),X7),
    inference(congruence,[status(thm)],[c941]) ).

cnf(c943,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X5,inverse(X5)),inverse(X))))))),X5) = X5,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c944,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,X)),multiply(X,X))),multiply(inverse(multiply(X2,inverse(X2))),multiply(X2,inverse(multiply(X3,inverse(X3))))))),X2),X3) = X3,
    inference(transitivity,[status(thm)],[c942,c943]) ).

cnf(c945,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(X,inverse(inverse(inverse(X))))),multiply(inverse(multiply(X2,inverse(X2))),multiply(X2,inverse(multiply(X3,inverse(X3))))))),X2),X3) = X3,
    inference(transitivity,[status(thm)],[c939,c944]) ).

cnf(c946,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(X,inverse(X))),multiply(inverse(multiply(X2,inverse(X2))),multiply(X2,inverse(multiply(X3,inverse(X3))))))),X2),X3) = X3,
    inference(transitivity,[status(thm)],[c932,c945]) ).

cnf(c947,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(X,inverse(X))),multiply(inverse(multiply(X2,inverse(X2))),multiply(X2,multiply(X2,inverse(X2)))))),X2),X3) = X3,
    inference(transitivity,[status(thm)],[c926,c946]) ).

cnf(c948,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(X,inverse(X))),multiply(multiply(X2,inverse(X2)),multiply(X3,multiply(X3,inverse(X3)))))),X3),X4) = X4,
    inference(transitivity,[status(thm)],[c919,c947]) ).

cnf(c949,plain,
    multiply(multiply(inverse(multiply(multiply(X2,inverse(X2)),multiply(multiply(X,inverse(X)),multiply(X3,multiply(X3,inverse(X3)))))),X3),X4) = X4,
    inference(transitivity,[status(thm)],[c913,c948]) ).

cnf(c950,plain,
    multiply(multiply(inverse(multiply(multiply(X,inverse(X)),inverse(inverse(multiply(X2,multiply(X2,inverse(X2))))))),X2),X3) = X3,
    inference(transitivity,[status(thm)],[c907,c949]) ).

cnf(c951,plain,
    multiply(multiply(inverse(multiply(multiply(X,inverse(X)),multiply(X2,multiply(X2,inverse(X2))))),X2),X3) = X3,
    inference(transitivity,[status(thm)],[c871,c950]) ).

cnf(c952,plain,
    multiply(multiply(inverse(multiply(X,inverse(inverse(multiply(X,inverse(X)))))),X),X2) = X2,
    inference(transitivity,[status(thm)],[c865,c951]) ).

cnf(c953,plain,
    multiply(multiply(inverse(multiply(X2,multiply(X,inverse(X2)))),X),X3) = X3,
    inference(transitivity,[status(thm)],[c860,c952]) ).

cnf(c954,plain,
    multiply(multiply(X2,inverse(X2)),X) = X,
    inference(transitivity,[status(thm)],[c595,c953]) ).

cnf(c955,plain,
    multiply(multiply(X,inverse(X)),a2) = a2,
    inference(substitution,[status(thm)],[c954]) ).

cnf(c956,plain,
    multiply(multiply(a2,X),inverse(X)) = a2,
    inference(transitivity,[status(thm)],[c539,c955]) ).

cnf(c957,plain,
    multiply(multiply(inverse(b2),b2),a2) = a2,
    inference(transitivity,[status(thm)],[c286,c956]) ).

cnf(c958,plain,
    $false,
    inference(resolution,[status(thm)],[c1,c957]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP506-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04  % Command  : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.36  % Computer : n002.cluster.edu
% 0.09/5.36  % Model    : x86_64 x86_64
% 0.09/5.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36  % Memory   : 8046.5625MB
% 0.09/5.36  % OS       : Linux 6.8.0-71-generic
% 0.09/5.37  % CPULimit : 300
% 0.09/5.37  % WCLimit  : 300
% 0.09/5.37  % DateTime : Sun Sep 27 10:08:57 UTC 2026
% 0.09/5.37  % CPUTime  : 
% 0.09/5.37  Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.70/6.16  Command-line arguments: --no-flatten-goal
% 5.70/6.16  
% 5.70/6.16  % SZS status Unsatisfiable
% 5.70/6.16  
% 7.05/6.32  % SZS output start CNFRefutation
% See solution above
% 14.97/7.32  
% 14.97/7.32  RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------