%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP501-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 10:10:50 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.94s
% Output : CNFRefutation 8.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 145
% Number of leaves : 3
% Syntax : Number of clauses : 695 ( 695 unt; 0 nHn; 3 RR)
% Number of literals : 695 ( 694 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 2873 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
cnf(c2,axiom,
multiply(A,B) = inverse(double_divide(B,A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c3,plain,
multiply(multiply(double_divide(X4,double_divide(X3,X4)),multiply(double_divide(X3,X2),X)),inverse(X)) = inverse(double_divide(inverse(X),multiply(double_divide(X4,double_divide(X3,X4)),multiply(double_divide(X3,X2),X)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
multiply(double_divide(X2,X),X3) = inverse(double_divide(X3,double_divide(X2,X))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c5,plain,
multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,X),X4)) = multiply(double_divide(X3,double_divide(X2,X3)),inverse(double_divide(X4,double_divide(X2,X)))),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,plain,
double_divide(inverse(X4),multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,X),X4))) = double_divide(inverse(X4),multiply(double_divide(X3,double_divide(X2,X3)),inverse(double_divide(X4,double_divide(X2,X))))),
inference(congruence,[status(thm)],[c5]) ).
cnf(c7,plain,
multiply(double_divide(X3,double_divide(X2,X3)),inverse(double_divide(X4,double_divide(X2,X)))) = inverse(double_divide(inverse(double_divide(X4,double_divide(X2,X))),double_divide(X3,double_divide(X2,X3)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c8,plain,
double_divide(inverse(X4),multiply(double_divide(X3,double_divide(X2,X3)),inverse(double_divide(X4,double_divide(X2,X))))) = double_divide(inverse(X4),inverse(double_divide(inverse(double_divide(X4,double_divide(X2,X))),double_divide(X3,double_divide(X2,X3))))),
inference(congruence,[status(thm)],[c7]) ).
cnf(c9,axiom,
double_divide(inverse(A2),inverse(double_divide(inverse(double_divide(A2,double_divide(B2,C))),double_divide(D,double_divide(B2,D))))) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c10,plain,
double_divide(inverse(X4),inverse(double_divide(inverse(double_divide(X4,double_divide(X2,X))),double_divide(X3,double_divide(X2,X3))))) = X,
inference(substitution,[status(thm)],[c9]) ).
cnf(c11,plain,
double_divide(inverse(X4),multiply(double_divide(X3,double_divide(X2,X3)),inverse(double_divide(X4,double_divide(X2,X))))) = X,
inference(transitivity,[status(thm)],[c8,c10]) ).
cnf(c12,plain,
double_divide(inverse(X4),multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,X),X4))) = X,
inference(transitivity,[status(thm)],[c6,c11]) ).
cnf(c13,plain,
double_divide(inverse(X),multiply(double_divide(X4,double_divide(X3,X4)),multiply(double_divide(X3,X2),X))) = X2,
inference(substitution,[status(thm)],[c12]) ).
cnf(c14,plain,
inverse(double_divide(inverse(X),multiply(double_divide(X4,double_divide(X3,X4)),multiply(double_divide(X3,X2),X)))) = inverse(X2),
inference(congruence,[status(thm)],[c13]) ).
cnf(c15,plain,
multiply(multiply(double_divide(X4,double_divide(X3,X4)),multiply(double_divide(X3,X2),X)),inverse(X)) = inverse(X2),
inference(transitivity,[status(thm)],[c3,c14]) ).
cnf(c16,plain,
multiply(multiply(double_divide(X2,double_divide(X3,X2)),multiply(double_divide(X3,inverse(X3)),X)),inverse(X)) = inverse(inverse(X3)),
inference(substitution,[status(thm)],[c15]) ).
cnf(c17,plain,
inverse(inverse(X3)) = multiply(multiply(double_divide(X2,double_divide(X3,X2)),multiply(double_divide(X3,inverse(X3)),X)),inverse(X)),
inference(symmetry,[status(thm)],[c16]) ).
cnf(c18,plain,
multiply(double_divide(inverse(X2),X),X) = inverse(double_divide(X,double_divide(inverse(X2),X))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c19,plain,
multiply(multiply(double_divide(X,double_divide(multiply(X4,X2),X)),multiply(double_divide(multiply(X4,X2),double_divide(X3,double_divide(inverse(X4),X3))),X5)),inverse(X5)) = inverse(double_divide(X3,double_divide(inverse(X4),X3))),
inference(substitution,[status(thm)],[c15]) ).
cnf(c20,plain,
inverse(double_divide(X4,double_divide(inverse(X5),X4))) = multiply(multiply(double_divide(X2,double_divide(multiply(X5,X3),X2)),multiply(double_divide(multiply(X5,X3),double_divide(X4,double_divide(inverse(X5),X4))),X)),inverse(X)),
inference(symmetry,[status(thm)],[c19]) ).
cnf(c21,plain,
multiply(X2,X) = inverse(double_divide(X,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c22,plain,
double_divide(multiply(X4,X3),double_divide(X2,multiply(double_divide(X2,X),X))) = double_divide(inverse(double_divide(X3,X4)),double_divide(X2,multiply(double_divide(X2,X),X))),
inference(congruence,[status(thm)],[c21]) ).
cnf(c23,plain,
multiply(double_divide(X2,X),X) = inverse(double_divide(X,double_divide(X2,X))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c24,plain,
double_divide(inverse(X3),multiply(double_divide(X,double_divide(X4,X)),multiply(double_divide(X4,X2),X3))) = X2,
inference(substitution,[status(thm)],[c12]) ).
cnf(c25,plain,
X3 = double_divide(inverse(X4),multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X3),X4))),
inference(symmetry,[status(thm)],[c24]) ).
cnf(c26,plain,
multiply(X3,X5) = multiply(double_divide(inverse(X4),multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X3),X4))),X5),
inference(congruence,[status(thm)],[c25]) ).
cnf(c27,plain,
multiply(double_divide(X5,double_divide(inverse(X4),X5)),multiply(X3,X6)) = multiply(double_divide(X5,double_divide(inverse(X4),X5)),multiply(double_divide(inverse(X4),multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X3),X4))),X6)),
inference(congruence,[status(thm)],[c26]) ).
cnf(c28,plain,
double_divide(inverse(X6),multiply(double_divide(X5,double_divide(inverse(X4),X5)),multiply(X3,X6))) = double_divide(inverse(X6),multiply(double_divide(X5,double_divide(inverse(X4),X5)),multiply(double_divide(inverse(X4),multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X3),X4))),X6))),
inference(congruence,[status(thm)],[c27]) ).
cnf(c29,plain,
double_divide(inverse(X6),multiply(double_divide(X5,double_divide(inverse(X4),X5)),multiply(double_divide(inverse(X4),multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X3),X4))),X6))) = multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X3),X4)),
inference(substitution,[status(thm)],[c12]) ).
cnf(c30,plain,
double_divide(inverse(X6),multiply(double_divide(X5,double_divide(inverse(X4),X5)),multiply(X3,X6))) = multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X3),X4)),
inference(transitivity,[status(thm)],[c28,c29]) ).
cnf(c31,plain,
double_divide(inverse(X2),multiply(double_divide(X,double_divide(inverse(X4),X)),multiply(double_divide(inverse(X4),X3),X2))) = multiply(double_divide(X6,double_divide(X5,X6)),multiply(double_divide(X5,double_divide(inverse(X4),X3)),X4)),
inference(substitution,[status(thm)],[c30]) ).
cnf(c32,plain,
multiply(double_divide(X6,double_divide(X5,X6)),multiply(double_divide(X5,double_divide(inverse(X4),X3)),X4)) = double_divide(inverse(X2),multiply(double_divide(X,double_divide(inverse(X4),X)),multiply(double_divide(inverse(X4),X3),X2))),
inference(symmetry,[status(thm)],[c31]) ).
cnf(c33,plain,
double_divide(inverse(X2),multiply(double_divide(X,double_divide(inverse(X4),X)),multiply(double_divide(inverse(X4),X3),X2))) = X3,
inference(substitution,[status(thm)],[c12]) ).
cnf(c34,plain,
multiply(double_divide(X4,double_divide(X3,X4)),multiply(double_divide(X3,double_divide(inverse(X2),X)),X2)) = X,
inference(transitivity,[status(thm)],[c32,c33]) ).
cnf(c35,plain,
multiply(double_divide(X4,double_divide(X3,X4)),multiply(double_divide(X3,double_divide(inverse(X2),X)),X2)) = X,
inference(substitution,[status(thm)],[c34]) ).
cnf(c36,plain,
X4 = multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X4)),X)),
inference(symmetry,[status(thm)],[c35]) ).
cnf(c37,plain,
double_divide(X5,X4) = double_divide(X5,multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X4)),X))),
inference(congruence,[status(thm)],[c36]) ).
cnf(c38,plain,
double_divide(X4,double_divide(X5,X4)) = double_divide(X4,double_divide(X5,multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X4)),X)))),
inference(congruence,[status(thm)],[c37]) ).
cnf(c39,plain,
multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X4)),X)) = X4,
inference(substitution,[status(thm)],[c34]) ).
cnf(c40,plain,
X4 = multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X4)),X)),
inference(symmetry,[status(thm)],[c39]) ).
cnf(c41,plain,
double_divide(X4,double_divide(X5,multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X4)),X)))) = double_divide(multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X4)),X)),double_divide(X5,multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X4)),X)))),
inference(congruence,[status(thm)],[c40]) ).
cnf(c42,plain,
multiply(X2,X) = inverse(double_divide(X,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c43,plain,
double_divide(X,multiply(X3,X2)) = double_divide(X,inverse(double_divide(X2,X3))),
inference(congruence,[status(thm)],[c42]) ).
cnf(c44,plain,
double_divide(multiply(X3,X2),double_divide(X,multiply(X3,X2))) = double_divide(multiply(X3,X2),double_divide(X,inverse(double_divide(X2,X3)))),
inference(congruence,[status(thm)],[c43]) ).
cnf(c45,plain,
double_divide(inverse(X2),multiply(double_divide(X,double_divide(inverse(X3),X)),multiply(double_divide(X5,double_divide(X4,X5)),X2))) = multiply(double_divide(X7,double_divide(X6,X7)),multiply(double_divide(X6,double_divide(X5,double_divide(X4,X5))),X3)),
inference(substitution,[status(thm)],[c30]) ).
cnf(c46,plain,
multiply(double_divide(X7,double_divide(X6,X7)),multiply(double_divide(X6,double_divide(X5,double_divide(X4,X5))),X3)) = double_divide(inverse(X2),multiply(double_divide(X,double_divide(inverse(X3),X)),multiply(double_divide(X5,double_divide(X4,X5)),X2))),
inference(symmetry,[status(thm)],[c45]) ).
cnf(c47,plain,
double_divide(inverse(X2),multiply(double_divide(X,double_divide(inverse(X5),X)),multiply(double_divide(inverse(X5),multiply(double_divide(X4,double_divide(X3,X4)),multiply(double_divide(X3,X6),X5))),X2))) = multiply(double_divide(X4,double_divide(X3,X4)),multiply(double_divide(X3,X6),X5)),
inference(substitution,[status(thm)],[c12]) ).
cnf(c48,plain,
multiply(double_divide(X4,double_divide(X3,X4)),multiply(double_divide(X3,X6),X5)) = double_divide(inverse(X2),multiply(double_divide(X,double_divide(inverse(X5),X)),multiply(double_divide(inverse(X5),multiply(double_divide(X4,double_divide(X3,X4)),multiply(double_divide(X3,X6),X5))),X2))),
inference(symmetry,[status(thm)],[c47]) ).
cnf(c49,plain,
double_divide(inverse(X3),multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X4),X3))) = X4,
inference(substitution,[status(thm)],[c12]) ).
cnf(c50,plain,
multiply(double_divide(inverse(X4),multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,X5),X4))),X) = multiply(X5,X),
inference(congruence,[status(thm)],[c49]) ).
cnf(c51,plain,
multiply(double_divide(X,double_divide(inverse(X5),X)),multiply(double_divide(inverse(X5),multiply(double_divide(X4,double_divide(X3,X4)),multiply(double_divide(X3,X6),X5))),X2)) = multiply(double_divide(X,double_divide(inverse(X5),X)),multiply(X6,X2)),
inference(congruence,[status(thm)],[c50]) ).
cnf(c52,plain,
double_divide(inverse(X2),multiply(double_divide(X,double_divide(inverse(X5),X)),multiply(double_divide(inverse(X5),multiply(double_divide(X4,double_divide(X3,X4)),multiply(double_divide(X3,X6),X5))),X2))) = double_divide(inverse(X2),multiply(double_divide(X,double_divide(inverse(X5),X)),multiply(X6,X2))),
inference(congruence,[status(thm)],[c51]) ).
cnf(c53,plain,
double_divide(inverse(X),multiply(double_divide(X4,double_divide(X3,X4)),multiply(double_divide(X3,X2),X))) = X2,
inference(substitution,[status(thm)],[c12]) ).
cnf(c54,plain,
X2 = double_divide(inverse(X),multiply(double_divide(X4,double_divide(X3,X4)),multiply(double_divide(X3,X2),X))),
inference(symmetry,[status(thm)],[c53]) ).
cnf(c55,plain,
multiply(X3,X) = multiply(double_divide(inverse(X2),multiply(double_divide(X5,double_divide(X4,X5)),multiply(double_divide(X4,X3),X2))),X),
inference(congruence,[status(thm)],[c54]) ).
cnf(c56,plain,
multiply(double_divide(X,double_divide(inverse(X3),X)),multiply(X4,X2)) = multiply(double_divide(X,double_divide(inverse(X3),X)),multiply(double_divide(inverse(X3),multiply(double_divide(X6,double_divide(X5,X6)),multiply(double_divide(X5,X4),X3))),X2)),
inference(congruence,[status(thm)],[c55]) ).
cnf(c57,plain,
double_divide(inverse(X2),multiply(double_divide(X,double_divide(inverse(X3),X)),multiply(X4,X2))) = double_divide(inverse(X2),multiply(double_divide(X,double_divide(inverse(X3),X)),multiply(double_divide(inverse(X3),multiply(double_divide(X6,double_divide(X5,X6)),multiply(double_divide(X5,X4),X3))),X2))),
inference(congruence,[status(thm)],[c56]) ).
cnf(c58,plain,
double_divide(inverse(X2),multiply(double_divide(X,double_divide(inverse(X3),X)),multiply(double_divide(inverse(X3),multiply(double_divide(X6,double_divide(X5,X6)),multiply(double_divide(X5,X4),X3))),X2))) = multiply(double_divide(X6,double_divide(X5,X6)),multiply(double_divide(X5,X4),X3)),
inference(substitution,[status(thm)],[c12]) ).
cnf(c59,plain,
double_divide(inverse(X2),multiply(double_divide(X,double_divide(inverse(X3),X)),multiply(X4,X2))) = multiply(double_divide(X6,double_divide(X5,X6)),multiply(double_divide(X5,X4),X3)),
inference(transitivity,[status(thm)],[c57,c58]) ).
cnf(c60,plain,
double_divide(inverse(X2),multiply(double_divide(X,double_divide(inverse(X5),X)),multiply(double_divide(inverse(X5),multiply(double_divide(X4,double_divide(X3,X4)),multiply(double_divide(X3,X6),X5))),X2))) = multiply(double_divide(X8,double_divide(X7,X8)),multiply(double_divide(X7,X6),X5)),
inference(transitivity,[status(thm)],[c52,c59]) ).
cnf(c61,plain,
multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X4),X3)) = multiply(double_divide(X6,double_divide(X5,X6)),multiply(double_divide(X5,X4),X3)),
inference(transitivity,[status(thm)],[c48,c60]) ).
cnf(c62,plain,
multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,double_divide(X4,X5)),X3)) = multiply(double_divide(X6,double_divide(X5,X6)),multiply(double_divide(X5,double_divide(X4,X5)),X3)),
inference(substitution,[status(thm)],[c61]) ).
cnf(c63,plain,
multiply(double_divide(X4,double_divide(X2,X4)),multiply(double_divide(X2,double_divide(inverse(X),X3)),X)) = X3,
inference(substitution,[status(thm)],[c34]) ).
cnf(c64,plain,
X3 = multiply(double_divide(X4,double_divide(X2,X4)),multiply(double_divide(X2,double_divide(inverse(X),X3)),X)),
inference(symmetry,[status(thm)],[c63]) ).
cnf(c65,plain,
multiply(double_divide(X3,double_divide(X5,X3)),X4) = multiply(double_divide(X3,double_divide(X5,X3)),multiply(double_divide(X5,double_divide(X2,X5)),multiply(double_divide(X2,double_divide(inverse(X),X4)),X))),
inference(congruence,[status(thm)],[c64]) ).
cnf(c66,plain,
multiply(double_divide(X3,double_divide(X5,X3)),multiply(double_divide(X5,double_divide(X2,X5)),multiply(double_divide(X2,double_divide(inverse(X),X4)),X))) = multiply(double_divide(X6,double_divide(X5,X6)),multiply(double_divide(X5,double_divide(X2,X5)),multiply(double_divide(X2,double_divide(inverse(X),X4)),X))),
inference(substitution,[status(thm)],[c61]) ).
cnf(c67,plain,
multiply(double_divide(X4,double_divide(X2,X4)),multiply(double_divide(X2,double_divide(inverse(X),X3)),X)) = X3,
inference(substitution,[status(thm)],[c34]) ).
cnf(c68,plain,
multiply(double_divide(X5,double_divide(X4,X5)),multiply(double_divide(X4,double_divide(X2,X4)),multiply(double_divide(X2,double_divide(inverse(X),X3)),X))) = multiply(double_divide(X5,double_divide(X4,X5)),X3),
inference(congruence,[status(thm)],[c67]) ).
cnf(c69,plain,
multiply(double_divide(X3,double_divide(X5,X3)),multiply(double_divide(X5,double_divide(X2,X5)),multiply(double_divide(X2,double_divide(inverse(X),X4)),X))) = multiply(double_divide(X6,double_divide(X5,X6)),X4),
inference(transitivity,[status(thm)],[c66,c68]) ).
cnf(c70,plain,
multiply(double_divide(X,double_divide(X3,X)),X2) = multiply(double_divide(X4,double_divide(X3,X4)),X2),
inference(transitivity,[status(thm)],[c65,c69]) ).
cnf(c71,plain,
multiply(double_divide(X3,double_divide(X2,X3)),X) = multiply(double_divide(X4,double_divide(X2,X4)),X),
inference(substitution,[status(thm)],[c70]) ).
cnf(c72,plain,
multiply(double_divide(X4,double_divide(X2,X4)),X) = multiply(double_divide(X3,double_divide(X2,X3)),X),
inference(symmetry,[status(thm)],[c71]) ).
cnf(c73,plain,
multiply(double_divide(X5,double_divide(X4,X5)),multiply(double_divide(X4,double_divide(X2,X4)),X)) = multiply(double_divide(X5,double_divide(X4,X5)),multiply(double_divide(X3,double_divide(X2,X3)),X)),
inference(congruence,[status(thm)],[c72]) ).
cnf(c74,plain,
multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,double_divide(X4,X6)),X3)) = multiply(double_divide(X7,double_divide(X6,X7)),multiply(double_divide(X5,double_divide(X4,X5)),X3)),
inference(transitivity,[status(thm)],[c62,c73]) ).
cnf(c75,plain,
multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,double_divide(X6,inverse(X5))),X4)) = multiply(double_divide(X3,double_divide(inverse(X5),X3)),multiply(double_divide(X7,double_divide(X6,X7)),X4)),
inference(substitution,[status(thm)],[c74]) ).
cnf(c76,plain,
multiply(double_divide(X3,double_divide(inverse(X5),X3)),multiply(double_divide(X7,double_divide(X6,X7)),X4)) = multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,double_divide(X6,inverse(X5))),X4)),
inference(symmetry,[status(thm)],[c75]) ).
cnf(c77,plain,
double_divide(inverse(X4),multiply(double_divide(X3,double_divide(inverse(X5),X3)),multiply(double_divide(X7,double_divide(X6,X7)),X4))) = double_divide(inverse(X4),multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,double_divide(X6,inverse(X5))),X4))),
inference(congruence,[status(thm)],[c76]) ).
cnf(c78,plain,
double_divide(inverse(X3),multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,double_divide(X5,inverse(X4))),X3))) = double_divide(X5,inverse(X4)),
inference(substitution,[status(thm)],[c12]) ).
cnf(c79,plain,
double_divide(inverse(X2),multiply(double_divide(X,double_divide(inverse(X3),X)),multiply(double_divide(X5,double_divide(X4,X5)),X2))) = double_divide(X4,inverse(X3)),
inference(transitivity,[status(thm)],[c77,c78]) ).
cnf(c80,plain,
multiply(double_divide(X5,double_divide(X4,X5)),multiply(double_divide(X4,double_divide(X3,double_divide(X2,X3))),X)) = double_divide(X2,inverse(X)),
inference(transitivity,[status(thm)],[c46,c79]) ).
cnf(c81,plain,
multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,double_divide(X3,double_divide(X4,X3))),double_divide(X5,X6))) = double_divide(X4,inverse(double_divide(X5,X6))),
inference(substitution,[status(thm)],[c80]) ).
cnf(c82,plain,
double_divide(X4,inverse(double_divide(X5,X6))) = multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,double_divide(X3,double_divide(X4,X3))),double_divide(X5,X6))),
inference(symmetry,[status(thm)],[c81]) ).
cnf(c83,plain,
double_divide(multiply(X6,X5),double_divide(X4,inverse(double_divide(X5,X6)))) = double_divide(multiply(X6,X5),multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,double_divide(X3,double_divide(X4,X3))),double_divide(X5,X6)))),
inference(congruence,[status(thm)],[c82]) ).
cnf(c84,plain,
multiply(X2,X) = inverse(double_divide(X,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c85,plain,
double_divide(multiply(X5,X4),multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,X),double_divide(X4,X5)))) = double_divide(inverse(double_divide(X4,X5)),multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,X),double_divide(X4,X5)))),
inference(congruence,[status(thm)],[c84]) ).
cnf(c86,plain,
double_divide(inverse(double_divide(X4,X5)),multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,X),double_divide(X4,X5)))) = X,
inference(substitution,[status(thm)],[c12]) ).
cnf(c87,plain,
double_divide(multiply(X5,X4),multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,X),double_divide(X4,X5)))) = X,
inference(transitivity,[status(thm)],[c85,c86]) ).
cnf(c88,plain,
double_divide(multiply(X6,X5),multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,double_divide(X3,double_divide(X4,X3))),double_divide(X5,X6)))) = double_divide(X3,double_divide(X4,X3)),
inference(substitution,[status(thm)],[c87]) ).
cnf(c89,plain,
double_divide(multiply(X4,X3),double_divide(X2,inverse(double_divide(X3,X4)))) = double_divide(X,double_divide(X2,X)),
inference(transitivity,[status(thm)],[c83,c88]) ).
cnf(c90,plain,
double_divide(multiply(X4,X3),double_divide(X2,multiply(X4,X3))) = double_divide(X,double_divide(X2,X)),
inference(transitivity,[status(thm)],[c44,c89]) ).
cnf(c91,plain,
double_divide(multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X7)),X)),double_divide(X8,multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X7)),X)))) = double_divide(multiply(double_divide(X6,double_divide(X5,X6)),multiply(double_divide(X5,double_divide(inverse(X4),X9)),X4)),double_divide(X8,multiply(double_divide(X6,double_divide(X5,X6)),multiply(double_divide(X5,double_divide(inverse(X4),X9)),X4)))),
inference(substitution,[status(thm)],[c90]) ).
cnf(c92,plain,
multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X4)),X)) = X4,
inference(substitution,[status(thm)],[c34]) ).
cnf(c93,plain,
double_divide(multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X5)),X)),double_divide(X4,multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X5)),X)))) = double_divide(X5,double_divide(X4,multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X5)),X)))),
inference(congruence,[status(thm)],[c92]) ).
cnf(c94,plain,
multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X4)),X)) = X4,
inference(substitution,[status(thm)],[c34]) ).
cnf(c95,plain,
double_divide(X4,multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X5)),X))) = double_divide(X4,X5),
inference(congruence,[status(thm)],[c94]) ).
cnf(c96,plain,
double_divide(X5,double_divide(X4,multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X5)),X)))) = double_divide(X5,double_divide(X4,X5)),
inference(congruence,[status(thm)],[c95]) ).
cnf(c97,plain,
double_divide(multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X5)),X)),double_divide(X4,multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X5)),X)))) = double_divide(X5,double_divide(X4,X5)),
inference(transitivity,[status(thm)],[c93,c96]) ).
cnf(c98,plain,
double_divide(multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X4)),X)),double_divide(X5,multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X4)),X)))) = double_divide(X6,double_divide(X5,X6)),
inference(transitivity,[status(thm)],[c91,c97]) ).
cnf(c99,plain,
double_divide(X4,double_divide(X5,multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X4)),X)))) = double_divide(X6,double_divide(X5,X6)),
inference(transitivity,[status(thm)],[c41,c98]) ).
cnf(c100,plain,
double_divide(X,double_divide(X2,X)) = double_divide(X3,double_divide(X2,X3)),
inference(transitivity,[status(thm)],[c38,c99]) ).
cnf(c101,plain,
double_divide(X,double_divide(X3,X)) = double_divide(X2,double_divide(X3,X2)),
inference(substitution,[status(thm)],[c100]) ).
cnf(c102,plain,
inverse(double_divide(X,double_divide(X3,X))) = inverse(double_divide(X2,double_divide(X3,X2))),
inference(congruence,[status(thm)],[c101]) ).
cnf(c103,plain,
multiply(double_divide(X2,X),X) = inverse(double_divide(X,double_divide(X2,X))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c104,plain,
inverse(double_divide(X,double_divide(X2,X))) = multiply(double_divide(X2,X),X),
inference(symmetry,[status(thm)],[c103]) ).
cnf(c105,plain,
inverse(double_divide(X,double_divide(X3,X))) = multiply(double_divide(X3,X2),X2),
inference(transitivity,[status(thm)],[c102,c104]) ).
cnf(c106,plain,
multiply(double_divide(X3,X),X) = multiply(double_divide(X3,X2),X2),
inference(transitivity,[status(thm)],[c23,c105]) ).
cnf(c107,plain,
multiply(double_divide(X4,X3),X3) = multiply(double_divide(X4,double_divide(X,double_divide(X2,X))),double_divide(X,double_divide(X2,X))),
inference(substitution,[status(thm)],[c106]) ).
cnf(c108,plain,
multiply(double_divide(X5,double_divide(X4,X5)),multiply(double_divide(X4,X3),X3)) = multiply(double_divide(X5,double_divide(X4,X5)),multiply(double_divide(X4,double_divide(X,double_divide(X2,X))),double_divide(X,double_divide(X2,X)))),
inference(congruence,[status(thm)],[c107]) ).
cnf(c109,plain,
multiply(double_divide(X4,double_divide(X3,X4)),multiply(double_divide(X3,double_divide(X,double_divide(X2,X))),double_divide(X,double_divide(X2,X)))) = double_divide(X2,inverse(double_divide(X,double_divide(X2,X)))),
inference(substitution,[status(thm)],[c80]) ).
cnf(c110,plain,
multiply(double_divide(X2,X),X) = inverse(double_divide(X,double_divide(X2,X))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c111,plain,
inverse(double_divide(X,double_divide(X2,X))) = multiply(double_divide(X2,X),X),
inference(symmetry,[status(thm)],[c110]) ).
cnf(c112,plain,
double_divide(X2,inverse(double_divide(X,double_divide(X2,X)))) = double_divide(X2,multiply(double_divide(X2,X),X)),
inference(congruence,[status(thm)],[c111]) ).
cnf(c113,plain,
multiply(double_divide(X4,double_divide(X3,X4)),multiply(double_divide(X3,double_divide(X,double_divide(X2,X))),double_divide(X,double_divide(X2,X)))) = double_divide(X2,multiply(double_divide(X2,X),X)),
inference(transitivity,[status(thm)],[c109,c112]) ).
cnf(c114,plain,
multiply(double_divide(X5,double_divide(X4,X5)),multiply(double_divide(X4,X3),X3)) = double_divide(X2,multiply(double_divide(X2,X),X)),
inference(transitivity,[status(thm)],[c108,c113]) ).
cnf(c115,plain,
multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X5),X5)) = double_divide(X4,multiply(double_divide(X4,X3),X3)),
inference(substitution,[status(thm)],[c114]) ).
cnf(c116,plain,
double_divide(X4,multiply(double_divide(X4,X3),X3)) = multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X5),X5)),
inference(symmetry,[status(thm)],[c115]) ).
cnf(c117,plain,
double_divide(inverse(X5),double_divide(X4,multiply(double_divide(X4,X3),X3))) = double_divide(inverse(X5),multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X5),X5))),
inference(congruence,[status(thm)],[c116]) ).
cnf(c118,plain,
double_divide(inverse(X3),multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X3),X3))) = X3,
inference(substitution,[status(thm)],[c12]) ).
cnf(c119,plain,
double_divide(inverse(X3),double_divide(X2,multiply(double_divide(X2,X),X))) = X3,
inference(transitivity,[status(thm)],[c117,c118]) ).
cnf(c120,plain,
double_divide(inverse(double_divide(X3,X4)),double_divide(X2,multiply(double_divide(X2,X),X))) = double_divide(X3,X4),
inference(substitution,[status(thm)],[c119]) ).
cnf(c121,plain,
double_divide(multiply(X4,X3),double_divide(X2,multiply(double_divide(X2,X),X))) = double_divide(X3,X4),
inference(transitivity,[status(thm)],[c22,c120]) ).
cnf(c122,plain,
double_divide(multiply(double_divide(X3,double_divide(inverse(X5),X3)),multiply(X5,X4)),double_divide(X2,multiply(double_divide(X2,X),X))) = double_divide(multiply(X5,X4),double_divide(X3,double_divide(inverse(X5),X3))),
inference(substitution,[status(thm)],[c121]) ).
cnf(c123,plain,
double_divide(multiply(X5,X4),double_divide(X3,double_divide(inverse(X5),X3))) = double_divide(multiply(double_divide(X3,double_divide(inverse(X5),X3)),multiply(X5,X4)),double_divide(X2,multiply(double_divide(X2,X),X))),
inference(symmetry,[status(thm)],[c122]) ).
cnf(c124,plain,
multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X3),X3)) = double_divide(X5,multiply(double_divide(X5,X4),X4)),
inference(substitution,[status(thm)],[c114]) ).
cnf(c125,plain,
double_divide(X5,multiply(double_divide(X5,X4),X4)) = multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X3),X3)),
inference(symmetry,[status(thm)],[c124]) ).
cnf(c126,plain,
double_divide(X6,double_divide(X5,multiply(double_divide(X5,X4),X4))) = double_divide(X6,multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X3),X3))),
inference(congruence,[status(thm)],[c125]) ).
cnf(c127,plain,
multiply(double_divide(X7,double_divide(X6,multiply(double_divide(X6,X5),X5))),X4) = multiply(double_divide(X7,multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X3),X3))),X4),
inference(congruence,[status(thm)],[c126]) ).
cnf(c128,plain,
multiply(double_divide(X8,double_divide(X7,X8)),multiply(double_divide(X7,double_divide(X6,multiply(double_divide(X6,X5),X5))),X4)) = multiply(double_divide(X8,double_divide(X7,X8)),multiply(double_divide(X7,multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X3),X3))),X4)),
inference(congruence,[status(thm)],[c127]) ).
cnf(c129,plain,
double_divide(inverse(X),multiply(double_divide(X9,double_divide(inverse(X2),X9)),multiply(multiply(double_divide(X6,double_divide(X5,X6)),multiply(double_divide(X5,X4),X3)),X))) = multiply(double_divide(X8,double_divide(X7,X8)),multiply(double_divide(X7,multiply(double_divide(X6,double_divide(X5,X6)),multiply(double_divide(X5,X4),X3))),X2)),
inference(substitution,[status(thm)],[c30]) ).
cnf(c130,plain,
multiply(double_divide(X9,double_divide(X8,X9)),multiply(double_divide(X8,multiply(double_divide(X7,double_divide(X6,X7)),multiply(double_divide(X6,X5),X4))),X3)) = double_divide(inverse(X2),multiply(double_divide(X,double_divide(inverse(X3),X)),multiply(multiply(double_divide(X7,double_divide(X6,X7)),multiply(double_divide(X6,X5),X4)),X2))),
inference(symmetry,[status(thm)],[c129]) ).
cnf(c131,plain,
double_divide(inverse(X2),multiply(double_divide(X,double_divide(inverse(X3),X)),multiply(X4,X2))) = multiply(double_divide(X6,double_divide(X5,X6)),multiply(double_divide(X5,X4),X3)),
inference(substitution,[status(thm)],[c30]) ).
cnf(c132,plain,
multiply(double_divide(X6,double_divide(X5,X6)),multiply(double_divide(X5,X4),X3)) = double_divide(inverse(X2),multiply(double_divide(X,double_divide(inverse(X3),X)),multiply(X4,X2))),
inference(symmetry,[status(thm)],[c131]) ).
cnf(c133,plain,
multiply(multiply(double_divide(X7,double_divide(X6,X7)),multiply(double_divide(X6,X5),X4)),X) = multiply(double_divide(inverse(X3),multiply(double_divide(X2,double_divide(inverse(X4),X2)),multiply(X5,X3))),X),
inference(congruence,[status(thm)],[c132]) ).
cnf(c134,plain,
multiply(double_divide(X,double_divide(inverse(X4),X)),multiply(multiply(double_divide(X8,double_divide(X7,X8)),multiply(double_divide(X7,X6),X5)),X2)) = multiply(double_divide(X,double_divide(inverse(X4),X)),multiply(double_divide(inverse(X4),multiply(double_divide(X3,double_divide(inverse(X5),X3)),multiply(X6,X4))),X2)),
inference(congruence,[status(thm)],[c133]) ).
cnf(c135,plain,
double_divide(inverse(X2),multiply(double_divide(X,double_divide(inverse(X4),X)),multiply(multiply(double_divide(X8,double_divide(X7,X8)),multiply(double_divide(X7,X6),X5)),X2))) = double_divide(inverse(X2),multiply(double_divide(X,double_divide(inverse(X4),X)),multiply(double_divide(inverse(X4),multiply(double_divide(X3,double_divide(inverse(X5),X3)),multiply(X6,X4))),X2))),
inference(congruence,[status(thm)],[c134]) ).
cnf(c136,plain,
double_divide(inverse(X2),multiply(double_divide(X,double_divide(inverse(X4),X)),multiply(double_divide(inverse(X4),multiply(double_divide(X3,double_divide(inverse(X5),X3)),multiply(X6,X4))),X2))) = multiply(double_divide(X3,double_divide(inverse(X5),X3)),multiply(X6,X4)),
inference(substitution,[status(thm)],[c12]) ).
cnf(c137,plain,
double_divide(inverse(X2),multiply(double_divide(X,double_divide(inverse(X4),X)),multiply(multiply(double_divide(X8,double_divide(X7,X8)),multiply(double_divide(X7,X6),X5)),X2))) = multiply(double_divide(X3,double_divide(inverse(X5),X3)),multiply(X6,X4)),
inference(transitivity,[status(thm)],[c135,c136]) ).
cnf(c138,plain,
multiply(double_divide(X8,double_divide(X7,X8)),multiply(double_divide(X7,multiply(double_divide(X6,double_divide(X5,X6)),multiply(double_divide(X5,X4),X3))),X2)) = multiply(double_divide(X,double_divide(inverse(X3),X)),multiply(X4,X2)),
inference(transitivity,[status(thm)],[c130,c137]) ).
cnf(c139,plain,
multiply(double_divide(X7,double_divide(X6,X7)),multiply(double_divide(X6,multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X3),X3))),X5)) = multiply(double_divide(X4,double_divide(inverse(X3),X4)),multiply(X3,X5)),
inference(substitution,[status(thm)],[c138]) ).
cnf(c140,plain,
multiply(double_divide(X7,double_divide(X6,X7)),multiply(double_divide(X6,double_divide(X5,multiply(double_divide(X5,X4),X4))),X3)) = multiply(double_divide(X2,double_divide(inverse(X),X2)),multiply(X,X3)),
inference(transitivity,[status(thm)],[c128,c139]) ).
cnf(c141,plain,
multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,double_divide(inverse(X4),multiply(double_divide(inverse(X4),X3),X3))),X4)) = multiply(double_divide(X6,double_divide(inverse(X5),X6)),multiply(X5,X4)),
inference(substitution,[status(thm)],[c140]) ).
cnf(c142,plain,
multiply(double_divide(X6,double_divide(inverse(X5),X6)),multiply(X5,X4)) = multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,double_divide(inverse(X4),multiply(double_divide(inverse(X4),X3),X3))),X4)),
inference(symmetry,[status(thm)],[c141]) ).
cnf(c143,plain,
double_divide(inverse(X2),multiply(double_divide(X,double_divide(inverse(X6),X)),multiply(double_divide(inverse(X6),multiply(double_divide(inverse(X6),X5),X5)),X2))) = multiply(double_divide(X4,double_divide(X3,X4)),multiply(double_divide(X3,double_divide(inverse(X6),multiply(double_divide(inverse(X6),X5),X5))),X6)),
inference(substitution,[status(thm)],[c30]) ).
cnf(c144,plain,
multiply(double_divide(X4,double_divide(X3,X4)),multiply(double_divide(X3,double_divide(inverse(X6),multiply(double_divide(inverse(X6),X5),X5))),X6)) = double_divide(inverse(X2),multiply(double_divide(X,double_divide(inverse(X6),X)),multiply(double_divide(inverse(X6),multiply(double_divide(inverse(X6),X5),X5)),X2))),
inference(symmetry,[status(thm)],[c143]) ).
cnf(c145,plain,
double_divide(inverse(X2),multiply(double_divide(X,double_divide(inverse(X4),X)),multiply(double_divide(inverse(X4),multiply(double_divide(inverse(X4),X3),X3)),X2))) = multiply(double_divide(inverse(X4),X3),X3),
inference(substitution,[status(thm)],[c12]) ).
cnf(c146,plain,
multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,double_divide(inverse(X4),multiply(double_divide(inverse(X4),X3),X3))),X4)) = multiply(double_divide(inverse(X4),X3),X3),
inference(transitivity,[status(thm)],[c144,c145]) ).
cnf(c147,plain,
multiply(double_divide(X4,double_divide(inverse(X3),X4)),multiply(X3,X2)) = multiply(double_divide(inverse(X2),X),X),
inference(transitivity,[status(thm)],[c142,c146]) ).
cnf(c148,plain,
multiply(double_divide(X2,double_divide(inverse(X4),X2)),multiply(X4,X3)) = multiply(double_divide(inverse(X3),X),X),
inference(substitution,[status(thm)],[c147]) ).
cnf(c149,plain,
double_divide(multiply(double_divide(X4,double_divide(inverse(X6),X4)),multiply(X6,X5)),double_divide(X2,multiply(double_divide(X2,X),X))) = double_divide(multiply(double_divide(inverse(X5),X3),X3),double_divide(X2,multiply(double_divide(X2,X),X))),
inference(congruence,[status(thm)],[c148]) ).
cnf(c150,plain,
double_divide(multiply(double_divide(inverse(X4),X3),X3),double_divide(X2,multiply(double_divide(X2,X),X))) = double_divide(X3,double_divide(inverse(X4),X3)),
inference(substitution,[status(thm)],[c121]) ).
cnf(c151,plain,
double_divide(multiply(double_divide(X4,double_divide(inverse(X6),X4)),multiply(X6,X5)),double_divide(X2,multiply(double_divide(X2,X),X))) = double_divide(X3,double_divide(inverse(X5),X3)),
inference(transitivity,[status(thm)],[c149,c150]) ).
cnf(c152,plain,
double_divide(multiply(X4,X3),double_divide(X2,double_divide(inverse(X4),X2))) = double_divide(X,double_divide(inverse(X3),X)),
inference(transitivity,[status(thm)],[c123,c151]) ).
cnf(c153,plain,
double_divide(multiply(X4,X2),double_divide(X3,double_divide(inverse(X4),X3))) = double_divide(X,double_divide(inverse(X2),X)),
inference(substitution,[status(thm)],[c152]) ).
cnf(c154,plain,
multiply(double_divide(multiply(X5,X3),double_divide(X4,double_divide(inverse(X5),X4))),X2) = multiply(double_divide(X,double_divide(inverse(X3),X)),X2),
inference(congruence,[status(thm)],[c153]) ).
cnf(c155,plain,
multiply(double_divide(X3,double_divide(multiply(X6,X4),X3)),multiply(double_divide(multiply(X6,X4),double_divide(X5,double_divide(inverse(X6),X5))),X2)) = multiply(double_divide(X3,double_divide(multiply(X6,X4),X3)),multiply(double_divide(X,double_divide(inverse(X4),X)),X2)),
inference(congruence,[status(thm)],[c154]) ).
cnf(c156,plain,
multiply(multiply(double_divide(X3,double_divide(multiply(X6,X4),X3)),multiply(double_divide(multiply(X6,X4),double_divide(X5,double_divide(inverse(X6),X5))),X2)),inverse(X2)) = multiply(multiply(double_divide(X3,double_divide(multiply(X6,X4),X3)),multiply(double_divide(X,double_divide(inverse(X4),X)),X2)),inverse(X2)),
inference(congruence,[status(thm)],[c155]) ).
cnf(c157,plain,
multiply(double_divide(X3,double_divide(X2,X3)),X) = multiply(double_divide(X4,double_divide(X2,X4)),X),
inference(substitution,[status(thm)],[c70]) ).
cnf(c158,plain,
multiply(double_divide(X5,double_divide(X4,X5)),multiply(double_divide(X3,double_divide(X2,X3)),X)) = multiply(double_divide(X5,double_divide(X4,X5)),multiply(double_divide(X4,double_divide(X2,X4)),X)),
inference(congruence,[status(thm)],[c157]) ).
cnf(c159,plain,
multiply(multiply(double_divide(X5,double_divide(X4,X5)),multiply(double_divide(X3,double_divide(X2,X3)),X)),inverse(X)) = multiply(multiply(double_divide(X5,double_divide(X4,X5)),multiply(double_divide(X4,double_divide(X2,X4)),X)),inverse(X)),
inference(congruence,[status(thm)],[c158]) ).
cnf(c160,plain,
multiply(multiply(double_divide(X4,double_divide(X3,X4)),multiply(double_divide(X3,double_divide(X2,X3)),X)),inverse(X)) = inverse(double_divide(X2,X3)),
inference(substitution,[status(thm)],[c15]) ).
cnf(c161,plain,
multiply(X2,X) = inverse(double_divide(X,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c162,plain,
inverse(double_divide(X,X2)) = multiply(X2,X),
inference(symmetry,[status(thm)],[c161]) ).
cnf(c163,plain,
multiply(multiply(double_divide(X4,double_divide(X3,X4)),multiply(double_divide(X3,double_divide(X2,X3)),X)),inverse(X)) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c160,c162]) ).
cnf(c164,plain,
multiply(multiply(double_divide(X5,double_divide(X4,X5)),multiply(double_divide(X3,double_divide(X2,X3)),X)),inverse(X)) = multiply(X4,X2),
inference(transitivity,[status(thm)],[c159,c163]) ).
cnf(c165,plain,
multiply(multiply(double_divide(X3,double_divide(multiply(X5,X4),X3)),multiply(double_divide(X,double_divide(inverse(X4),X)),X2)),inverse(X2)) = multiply(multiply(X5,X4),inverse(X4)),
inference(substitution,[status(thm)],[c164]) ).
cnf(c166,plain,
multiply(multiply(double_divide(X2,double_divide(multiply(X5,X3),X2)),multiply(double_divide(multiply(X5,X3),double_divide(X4,double_divide(inverse(X5),X4))),X)),inverse(X)) = multiply(multiply(X5,X3),inverse(X3)),
inference(transitivity,[status(thm)],[c156,c165]) ).
cnf(c167,plain,
inverse(double_divide(X2,double_divide(inverse(X3),X2))) = multiply(multiply(X3,X),inverse(X)),
inference(transitivity,[status(thm)],[c20,c166]) ).
cnf(c168,plain,
multiply(double_divide(inverse(X3),X2),X2) = multiply(multiply(X3,X),inverse(X)),
inference(transitivity,[status(thm)],[c18,c167]) ).
cnf(c169,plain,
multiply(double_divide(inverse(X3),X),X) = multiply(multiply(X3,X2),inverse(X2)),
inference(substitution,[status(thm)],[c168]) ).
cnf(c170,plain,
multiply(multiply(X3,X2),inverse(X2)) = multiply(double_divide(inverse(X3),X),X),
inference(symmetry,[status(thm)],[c169]) ).
cnf(c171,plain,
multiply(multiply(multiply(X3,X2),inverse(X2)),inverse(X3)) = multiply(multiply(double_divide(inverse(X3),X),X),inverse(X3)),
inference(congruence,[status(thm)],[c170]) ).
cnf(c172,plain,
multiply(double_divide(X,double_divide(X4,X)),multiply(double_divide(X4,double_divide(inverse(X3),X2)),X3)) = X2,
inference(substitution,[status(thm)],[c34]) ).
cnf(c173,plain,
X2 = multiply(double_divide(X,double_divide(X4,X)),multiply(double_divide(X4,double_divide(inverse(X3),X2)),X3)),
inference(symmetry,[status(thm)],[c172]) ).
cnf(c174,plain,
double_divide(inverse(multiply(double_divide(X4,double_divide(inverse(X3),X2)),X3)),X2) = double_divide(inverse(multiply(double_divide(X4,double_divide(inverse(X3),X2)),X3)),multiply(double_divide(X,double_divide(X4,X)),multiply(double_divide(X4,double_divide(inverse(X3),X2)),X3))),
inference(congruence,[status(thm)],[c173]) ).
cnf(c175,plain,
multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X4)),X)) = X4,
inference(substitution,[status(thm)],[c34]) ).
cnf(c176,plain,
X4 = multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X4)),X)),
inference(symmetry,[status(thm)],[c175]) ).
cnf(c177,plain,
multiply(double_divide(X6,multiply(double_divide(X6,X5),X5)),X4) = multiply(double_divide(X6,multiply(double_divide(X6,X5),X5)),multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X4)),X))),
inference(congruence,[status(thm)],[c176]) ).
cnf(c178,plain,
multiply(X2,X) = inverse(double_divide(X,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c179,plain,
multiply(double_divide(X4,multiply(double_divide(X4,X3),X3)),multiply(X2,X)) = multiply(double_divide(X4,multiply(double_divide(X4,X3),X3)),inverse(double_divide(X,X2))),
inference(congruence,[status(thm)],[c178]) ).
cnf(c180,plain,
multiply(double_divide(X3,multiply(double_divide(X3,X2),X2)),inverse(X)) = inverse(double_divide(inverse(X),double_divide(X3,multiply(double_divide(X3,X2),X2)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c181,plain,
double_divide(inverse(X),double_divide(X3,multiply(double_divide(X3,X2),X2))) = X,
inference(substitution,[status(thm)],[c119]) ).
cnf(c182,plain,
inverse(double_divide(inverse(X),double_divide(X3,multiply(double_divide(X3,X2),X2)))) = inverse(X),
inference(congruence,[status(thm)],[c181]) ).
cnf(c183,plain,
multiply(double_divide(X3,multiply(double_divide(X3,X2),X2)),inverse(X)) = inverse(X),
inference(transitivity,[status(thm)],[c180,c182]) ).
cnf(c184,plain,
multiply(double_divide(X4,multiply(double_divide(X4,X3),X3)),inverse(double_divide(X,X2))) = inverse(double_divide(X,X2)),
inference(substitution,[status(thm)],[c183]) ).
cnf(c185,plain,
multiply(X2,X) = inverse(double_divide(X,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c186,plain,
inverse(double_divide(X,X2)) = multiply(X2,X),
inference(symmetry,[status(thm)],[c185]) ).
cnf(c187,plain,
multiply(double_divide(X4,multiply(double_divide(X4,X3),X3)),inverse(double_divide(X,X2))) = multiply(X2,X),
inference(transitivity,[status(thm)],[c184,c186]) ).
cnf(c188,plain,
multiply(double_divide(X4,multiply(double_divide(X4,X3),X3)),multiply(X2,X)) = multiply(X2,X),
inference(transitivity,[status(thm)],[c179,c187]) ).
cnf(c189,plain,
multiply(double_divide(X6,multiply(double_divide(X6,X5),X5)),multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X4)),X))) = multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X4)),X)),
inference(substitution,[status(thm)],[c188]) ).
cnf(c190,plain,
multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X4)),X)) = X4,
inference(substitution,[status(thm)],[c34]) ).
cnf(c191,plain,
multiply(double_divide(X6,multiply(double_divide(X6,X5),X5)),multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X4)),X))) = X4,
inference(transitivity,[status(thm)],[c189,c190]) ).
cnf(c192,plain,
multiply(double_divide(X3,multiply(double_divide(X3,X2),X2)),X) = X,
inference(transitivity,[status(thm)],[c177,c191]) ).
cnf(c193,plain,
multiply(double_divide(X2,multiply(double_divide(X2,X),X)),X3) = X3,
inference(substitution,[status(thm)],[c192]) ).
cnf(c194,plain,
X3 = multiply(double_divide(X2,multiply(double_divide(X2,X),X)),X3),
inference(symmetry,[status(thm)],[c193]) ).
cnf(c195,plain,
multiply(double_divide(X3,double_divide(X2,X3)),X4) = multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,multiply(double_divide(X2,X),X)),X4)),
inference(congruence,[status(thm)],[c194]) ).
cnf(c196,plain,
double_divide(inverse(X4),multiply(double_divide(X3,double_divide(X2,X3)),X4)) = double_divide(inverse(X4),multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,multiply(double_divide(X2,X),X)),X4))),
inference(congruence,[status(thm)],[c195]) ).
cnf(c197,plain,
double_divide(inverse(X4),multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,multiply(double_divide(X2,X),X)),X4))) = multiply(double_divide(X2,X),X),
inference(substitution,[status(thm)],[c12]) ).
cnf(c198,plain,
double_divide(inverse(X4),multiply(double_divide(X3,double_divide(X2,X3)),X4)) = multiply(double_divide(X2,X),X),
inference(transitivity,[status(thm)],[c196,c197]) ).
cnf(c199,plain,
double_divide(inverse(multiply(double_divide(X5,double_divide(inverse(X4),X3)),X4)),multiply(double_divide(X,double_divide(X5,X)),multiply(double_divide(X5,double_divide(inverse(X4),X3)),X4))) = multiply(double_divide(X5,X2),X2),
inference(substitution,[status(thm)],[c198]) ).
cnf(c200,plain,
double_divide(inverse(multiply(double_divide(X4,double_divide(inverse(X3),X2)),X3)),X2) = multiply(double_divide(X4,X),X),
inference(transitivity,[status(thm)],[c174,c199]) ).
cnf(c201,plain,
double_divide(inverse(multiply(double_divide(X3,double_divide(inverse(X),X3)),X)),X3) = multiply(double_divide(X3,X2),X2),
inference(substitution,[status(thm)],[c200]) ).
cnf(c202,plain,
multiply(double_divide(X3,X2),X2) = double_divide(inverse(multiply(double_divide(X3,double_divide(inverse(X),X3)),X)),X3),
inference(symmetry,[status(thm)],[c201]) ).
cnf(c203,plain,
multiply(multiply(double_divide(X3,X2),X2),X3) = multiply(double_divide(inverse(multiply(double_divide(X3,double_divide(inverse(X),X3)),X)),X3),X3),
inference(congruence,[status(thm)],[c202]) ).
cnf(c204,plain,
inverse(multiply(multiply(double_divide(X3,X2),X2),X3)) = inverse(multiply(double_divide(inverse(multiply(double_divide(X3,double_divide(inverse(X),X3)),X)),X3),X3)),
inference(congruence,[status(thm)],[c203]) ).
cnf(c205,plain,
multiply(double_divide(X2,multiply(double_divide(X2,X),X)),X3) = X3,
inference(substitution,[status(thm)],[c192]) ).
cnf(c206,plain,
X3 = multiply(double_divide(X2,multiply(double_divide(X2,X),X)),X3),
inference(symmetry,[status(thm)],[c205]) ).
cnf(c207,plain,
multiply(double_divide(X4,double_divide(X5,X4)),X3) = multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X2,multiply(double_divide(X2,X),X)),X3)),
inference(congruence,[status(thm)],[c206]) ).
cnf(c208,plain,
multiply(multiply(double_divide(X4,double_divide(X5,X4)),X3),inverse(X3)) = multiply(multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X2,multiply(double_divide(X2,X),X)),X3)),inverse(X3)),
inference(congruence,[status(thm)],[c207]) ).
cnf(c209,plain,
multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X4)),X)) = X4,
inference(substitution,[status(thm)],[c34]) ).
cnf(c210,plain,
X4 = multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X4)),X)),
inference(symmetry,[status(thm)],[c209]) ).
cnf(c211,plain,
double_divide(X5,X4) = double_divide(multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X5)),X)),X4),
inference(congruence,[status(thm)],[c210]) ).
cnf(c212,plain,
double_divide(X4,double_divide(X5,X4)) = double_divide(X4,double_divide(multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X5)),X)),X4)),
inference(congruence,[status(thm)],[c211]) ).
cnf(c213,plain,
multiply(double_divide(X5,double_divide(X7,X5)),multiply(X6,X4)) = multiply(double_divide(X5,double_divide(multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X7)),X)),X5)),multiply(X6,X4)),
inference(congruence,[status(thm)],[c212]) ).
cnf(c214,plain,
multiply(multiply(double_divide(X5,double_divide(X7,X5)),multiply(X6,X4)),inverse(X4)) = multiply(multiply(double_divide(X5,double_divide(multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X7)),X)),X5)),multiply(X6,X4)),inverse(X4)),
inference(congruence,[status(thm)],[c213]) ).
cnf(c215,plain,
double_divide(multiply(X5,X4),multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X3),double_divide(X4,X5)))) = X3,
inference(substitution,[status(thm)],[c87]) ).
cnf(c216,plain,
X3 = double_divide(multiply(X5,X4),multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X3),double_divide(X4,X5)))),
inference(symmetry,[status(thm)],[c215]) ).
cnf(c217,plain,
multiply(X4,X3) = multiply(double_divide(multiply(X6,X5),multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X4),double_divide(X5,X6)))),X3),
inference(congruence,[status(thm)],[c216]) ).
cnf(c218,plain,
multiply(double_divide(X4,double_divide(multiply(X7,X6),X4)),multiply(X5,X3)) = multiply(double_divide(X4,double_divide(multiply(X7,X6),X4)),multiply(double_divide(multiply(X7,X6),multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X5),double_divide(X6,X7)))),X3)),
inference(congruence,[status(thm)],[c217]) ).
cnf(c219,plain,
multiply(multiply(double_divide(X4,double_divide(multiply(X7,X6),X4)),multiply(X5,X3)),inverse(X3)) = multiply(multiply(double_divide(X4,double_divide(multiply(X7,X6),X4)),multiply(double_divide(multiply(X7,X6),multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X5),double_divide(X6,X7)))),X3)),inverse(X3)),
inference(congruence,[status(thm)],[c218]) ).
cnf(c220,plain,
multiply(multiply(double_divide(X4,double_divide(multiply(X7,X6),X4)),multiply(double_divide(multiply(X7,X6),multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X5),double_divide(X6,X7)))),X3)),inverse(X3)) = inverse(multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X5),double_divide(X6,X7)))),
inference(substitution,[status(thm)],[c15]) ).
cnf(c221,plain,
multiply(multiply(double_divide(X7,double_divide(multiply(X6,X5),X7)),multiply(double_divide(multiply(X6,X5),multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X4),double_divide(X5,X6)))),X3)),inverse(X3)) = inverse(multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X4),double_divide(X5,X6)))),
inference(substitution,[status(thm)],[c15]) ).
cnf(c222,plain,
inverse(multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X4),double_divide(X5,X6)))) = multiply(multiply(double_divide(X7,double_divide(multiply(X6,X5),X7)),multiply(double_divide(multiply(X6,X5),multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X4),double_divide(X5,X6)))),X3)),inverse(X3)),
inference(symmetry,[status(thm)],[c221]) ).
cnf(c223,plain,
double_divide(multiply(X5,X4),multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X3),double_divide(X4,X5)))) = X3,
inference(substitution,[status(thm)],[c87]) ).
cnf(c224,plain,
multiply(double_divide(multiply(X6,X5),multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X4),double_divide(X5,X6)))),X3) = multiply(X4,X3),
inference(congruence,[status(thm)],[c223]) ).
cnf(c225,plain,
multiply(double_divide(X7,double_divide(multiply(X6,X5),X7)),multiply(double_divide(multiply(X6,X5),multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X4),double_divide(X5,X6)))),X3)) = multiply(double_divide(X7,double_divide(multiply(X6,X5),X7)),multiply(X4,X3)),
inference(congruence,[status(thm)],[c224]) ).
cnf(c226,plain,
multiply(multiply(double_divide(X7,double_divide(multiply(X6,X5),X7)),multiply(double_divide(multiply(X6,X5),multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X4),double_divide(X5,X6)))),X3)),inverse(X3)) = multiply(multiply(double_divide(X7,double_divide(multiply(X6,X5),X7)),multiply(X4,X3)),inverse(X3)),
inference(congruence,[status(thm)],[c225]) ).
cnf(c227,plain,
inverse(multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X4),double_divide(X5,X6)))) = multiply(multiply(double_divide(X7,double_divide(multiply(X6,X5),X7)),multiply(X4,X3)),inverse(X3)),
inference(transitivity,[status(thm)],[c222,c226]) ).
cnf(c228,plain,
multiply(multiply(double_divide(X4,double_divide(multiply(X8,X7),X4)),multiply(double_divide(multiply(X8,X7),multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,X6),double_divide(X7,X8)))),X3)),inverse(X3)) = multiply(multiply(double_divide(X9,double_divide(multiply(X8,X7),X9)),multiply(X6,X5)),inverse(X5)),
inference(transitivity,[status(thm)],[c220,c227]) ).
cnf(c229,plain,
multiply(multiply(double_divide(X2,double_divide(multiply(X6,X5),X2)),multiply(X4,X)),inverse(X)) = multiply(multiply(double_divide(X7,double_divide(multiply(X6,X5),X7)),multiply(X4,X3)),inverse(X3)),
inference(transitivity,[status(thm)],[c219,c228]) ).
cnf(c230,plain,
multiply(multiply(double_divide(X5,double_divide(multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X8)),X)),X5)),multiply(X7,X4)),inverse(X4)) = multiply(multiply(double_divide(X9,double_divide(multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X8)),X)),X9)),multiply(X7,X6)),inverse(X6)),
inference(substitution,[status(thm)],[c229]) ).
cnf(c231,plain,
multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X4)),X)) = X4,
inference(substitution,[status(thm)],[c34]) ).
cnf(c232,plain,
double_divide(multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X4)),X)),X5) = double_divide(X4,X5),
inference(congruence,[status(thm)],[c231]) ).
cnf(c233,plain,
double_divide(X5,double_divide(multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X4)),X)),X5)) = double_divide(X5,double_divide(X4,X5)),
inference(congruence,[status(thm)],[c232]) ).
cnf(c234,plain,
multiply(double_divide(X7,double_divide(multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X6)),X)),X7)),multiply(X5,X4)) = multiply(double_divide(X7,double_divide(X6,X7)),multiply(X5,X4)),
inference(congruence,[status(thm)],[c233]) ).
cnf(c235,plain,
multiply(multiply(double_divide(X7,double_divide(multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X6)),X)),X7)),multiply(X5,X4)),inverse(X4)) = multiply(multiply(double_divide(X7,double_divide(X6,X7)),multiply(X5,X4)),inverse(X4)),
inference(congruence,[status(thm)],[c234]) ).
cnf(c236,plain,
multiply(multiply(double_divide(X5,double_divide(multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,double_divide(inverse(X),X8)),X)),X5)),multiply(X7,X4)),inverse(X4)) = multiply(multiply(double_divide(X9,double_divide(X8,X9)),multiply(X7,X6)),inverse(X6)),
inference(transitivity,[status(thm)],[c230,c235]) ).
cnf(c237,plain,
multiply(multiply(double_divide(X2,double_divide(X5,X2)),multiply(X4,X)),inverse(X)) = multiply(multiply(double_divide(X6,double_divide(X5,X6)),multiply(X4,X3)),inverse(X3)),
inference(transitivity,[status(thm)],[c214,c236]) ).
cnf(c238,plain,
multiply(multiply(double_divide(X4,double_divide(X6,X4)),multiply(double_divide(X2,multiply(double_divide(X2,X),X)),X3)),inverse(X3)) = multiply(multiply(double_divide(X7,double_divide(X6,X7)),multiply(double_divide(X2,multiply(double_divide(X2,X),X)),X5)),inverse(X5)),
inference(substitution,[status(thm)],[c237]) ).
cnf(c239,plain,
multiply(double_divide(X2,multiply(double_divide(X2,X),X)),X3) = X3,
inference(substitution,[status(thm)],[c192]) ).
cnf(c240,plain,
multiply(double_divide(X5,double_divide(X4,X5)),multiply(double_divide(X2,multiply(double_divide(X2,X),X)),X3)) = multiply(double_divide(X5,double_divide(X4,X5)),X3),
inference(congruence,[status(thm)],[c239]) ).
cnf(c241,plain,
multiply(multiply(double_divide(X5,double_divide(X4,X5)),multiply(double_divide(X2,multiply(double_divide(X2,X),X)),X3)),inverse(X3)) = multiply(multiply(double_divide(X5,double_divide(X4,X5)),X3),inverse(X3)),
inference(congruence,[status(thm)],[c240]) ).
cnf(c242,plain,
multiply(multiply(double_divide(X4,double_divide(X6,X4)),multiply(double_divide(X2,multiply(double_divide(X2,X),X)),X3)),inverse(X3)) = multiply(multiply(double_divide(X7,double_divide(X6,X7)),X5),inverse(X5)),
inference(transitivity,[status(thm)],[c238,c241]) ).
cnf(c243,plain,
multiply(multiply(double_divide(X2,double_divide(X4,X2)),X),inverse(X)) = multiply(multiply(double_divide(X5,double_divide(X4,X5)),X3),inverse(X3)),
inference(transitivity,[status(thm)],[c208,c242]) ).
cnf(c244,plain,
multiply(multiply(double_divide(X4,double_divide(X3,X4)),X2),inverse(X2)) = multiply(multiply(double_divide(X,double_divide(X3,X)),double_divide(X3,X)),inverse(double_divide(X3,X))),
inference(substitution,[status(thm)],[c243]) ).
cnf(c245,plain,
multiply(double_divide(X2,X),X) = multiply(double_divide(X2,double_divide(X3,X2)),double_divide(X3,X2)),
inference(substitution,[status(thm)],[c106]) ).
cnf(c246,plain,
multiply(double_divide(X2,double_divide(X3,X2)),double_divide(X3,X2)) = multiply(double_divide(X2,X),X),
inference(symmetry,[status(thm)],[c245]) ).
cnf(c247,plain,
multiply(multiply(double_divide(X2,double_divide(X3,X2)),double_divide(X3,X2)),inverse(double_divide(X3,X2))) = multiply(multiply(double_divide(X2,X),X),inverse(double_divide(X3,X2))),
inference(congruence,[status(thm)],[c246]) ).
cnf(c248,plain,
multiply(X,X2) = inverse(double_divide(X2,X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c249,plain,
inverse(double_divide(X2,X)) = multiply(X,X2),
inference(symmetry,[status(thm)],[c248]) ).
cnf(c250,plain,
multiply(multiply(double_divide(X2,X),X),inverse(double_divide(X3,X2))) = multiply(multiply(double_divide(X2,X),X),multiply(X2,X3)),
inference(congruence,[status(thm)],[c249]) ).
cnf(c251,plain,
multiply(multiply(double_divide(X2,double_divide(X3,X2)),double_divide(X3,X2)),inverse(double_divide(X3,X2))) = multiply(multiply(double_divide(X2,X),X),multiply(X2,X3)),
inference(transitivity,[status(thm)],[c247,c250]) ).
cnf(c252,plain,
multiply(multiply(double_divide(X5,double_divide(X4,X5)),X3),inverse(X3)) = multiply(multiply(double_divide(X2,X),X),multiply(X2,X4)),
inference(transitivity,[status(thm)],[c244,c251]) ).
cnf(c253,plain,
multiply(multiply(double_divide(X2,double_divide(X3,X2)),X),inverse(X)) = multiply(multiply(double_divide(X5,X4),X4),multiply(X5,X3)),
inference(substitution,[status(thm)],[c252]) ).
cnf(c254,plain,
multiply(multiply(double_divide(X5,X4),X4),multiply(X5,X3)) = multiply(multiply(double_divide(X2,double_divide(X3,X2)),X),inverse(X)),
inference(symmetry,[status(thm)],[c253]) ).
cnf(c255,plain,
X = multiply(double_divide(X3,multiply(double_divide(X3,X2),X2)),X),
inference(symmetry,[status(thm)],[c192]) ).
cnf(c256,plain,
multiply(double_divide(X2,double_divide(X4,X2)),X) = multiply(double_divide(X2,double_divide(X4,X2)),multiply(double_divide(X4,multiply(double_divide(X4,X3),X3)),X)),
inference(congruence,[status(thm)],[c255]) ).
cnf(c257,plain,
multiply(multiply(double_divide(X2,double_divide(X4,X2)),X),inverse(X)) = multiply(multiply(double_divide(X2,double_divide(X4,X2)),multiply(double_divide(X4,multiply(double_divide(X4,X3),X3)),X)),inverse(X)),
inference(congruence,[status(thm)],[c256]) ).
cnf(c258,plain,
multiply(multiply(double_divide(X2,double_divide(X4,X2)),multiply(double_divide(X4,multiply(double_divide(X4,X3),X3)),X)),inverse(X)) = inverse(multiply(double_divide(X4,X3),X3)),
inference(substitution,[status(thm)],[c15]) ).
cnf(c259,plain,
multiply(multiply(double_divide(X2,double_divide(X4,X2)),X),inverse(X)) = inverse(multiply(double_divide(X4,X3),X3)),
inference(transitivity,[status(thm)],[c257,c258]) ).
cnf(c260,plain,
multiply(multiply(double_divide(X4,X3),X3),multiply(X4,X2)) = inverse(multiply(double_divide(X2,X),X)),
inference(transitivity,[status(thm)],[c254,c259]) ).
cnf(c261,plain,
multiply(multiply(double_divide(X3,X),X),multiply(X3,inverse(multiply(double_divide(X3,double_divide(inverse(X2),X3)),X2)))) = inverse(multiply(double_divide(inverse(multiply(double_divide(X3,double_divide(inverse(X2),X3)),X2)),X3),X3)),
inference(substitution,[status(thm)],[c260]) ).
cnf(c262,plain,
inverse(multiply(double_divide(inverse(multiply(double_divide(X3,double_divide(inverse(X2),X3)),X2)),X3),X3)) = multiply(multiply(double_divide(X3,X),X),multiply(X3,inverse(multiply(double_divide(X3,double_divide(inverse(X2),X3)),X2)))),
inference(symmetry,[status(thm)],[c261]) ).
cnf(c263,plain,
multiply(double_divide(X,double_divide(X3,X)),multiply(double_divide(X3,double_divide(inverse(X2),X4)),X2)) = X4,
inference(substitution,[status(thm)],[c34]) ).
cnf(c264,plain,
X4 = multiply(double_divide(X,double_divide(X3,X)),multiply(double_divide(X3,double_divide(inverse(X2),X4)),X2)),
inference(symmetry,[status(thm)],[c263]) ).
cnf(c265,plain,
multiply(X4,inverse(multiply(double_divide(X3,double_divide(inverse(X2),X4)),X2))) = multiply(multiply(double_divide(X,double_divide(X3,X)),multiply(double_divide(X3,double_divide(inverse(X2),X4)),X2)),inverse(multiply(double_divide(X3,double_divide(inverse(X2),X4)),X2))),
inference(congruence,[status(thm)],[c264]) ).
cnf(c266,plain,
multiply(double_divide(X3,multiply(double_divide(X3,X),X)),X2) = X2,
inference(substitution,[status(thm)],[c192]) ).
cnf(c267,plain,
X2 = multiply(double_divide(X3,multiply(double_divide(X3,X),X)),X2),
inference(symmetry,[status(thm)],[c266]) ).
cnf(c268,plain,
multiply(double_divide(X4,double_divide(X3,X4)),X2) = multiply(double_divide(X4,double_divide(X3,X4)),multiply(double_divide(X3,multiply(double_divide(X3,X),X)),X2)),
inference(congruence,[status(thm)],[c267]) ).
cnf(c269,plain,
multiply(multiply(double_divide(X4,double_divide(X3,X4)),X2),inverse(X2)) = multiply(multiply(double_divide(X4,double_divide(X3,X4)),multiply(double_divide(X3,multiply(double_divide(X3,X),X)),X2)),inverse(X2)),
inference(congruence,[status(thm)],[c268]) ).
cnf(c270,plain,
multiply(multiply(double_divide(X4,double_divide(X3,X4)),multiply(double_divide(X3,multiply(double_divide(X3,X),X)),X2)),inverse(X2)) = inverse(multiply(double_divide(X3,X),X)),
inference(substitution,[status(thm)],[c15]) ).
cnf(c271,plain,
multiply(multiply(double_divide(X4,double_divide(X3,X4)),X2),inverse(X2)) = inverse(multiply(double_divide(X3,X),X)),
inference(transitivity,[status(thm)],[c269,c270]) ).
cnf(c272,plain,
multiply(multiply(double_divide(X,double_divide(X4,X)),multiply(double_divide(X4,double_divide(inverse(X3),X5)),X3)),inverse(multiply(double_divide(X4,double_divide(inverse(X3),X5)),X3))) = inverse(multiply(double_divide(X4,X2),X2)),
inference(substitution,[status(thm)],[c271]) ).
cnf(c273,plain,
multiply(X4,inverse(multiply(double_divide(X3,double_divide(inverse(X2),X4)),X2))) = inverse(multiply(double_divide(X3,X),X)),
inference(transitivity,[status(thm)],[c265,c272]) ).
cnf(c274,plain,
multiply(X3,inverse(multiply(double_divide(X3,double_divide(inverse(X2),X3)),X2))) = inverse(multiply(double_divide(X3,X),X)),
inference(substitution,[status(thm)],[c273]) ).
cnf(c275,plain,
multiply(multiply(double_divide(X4,X2),X2),multiply(X4,inverse(multiply(double_divide(X4,double_divide(inverse(X3),X4)),X3)))) = multiply(multiply(double_divide(X4,X2),X2),inverse(multiply(double_divide(X4,X),X))),
inference(congruence,[status(thm)],[c274]) ).
cnf(c276,plain,
multiply(X3,inverse(multiply(double_divide(X3,double_divide(inverse(X),X3)),X))) = inverse(multiply(double_divide(X3,X2),X2)),
inference(substitution,[status(thm)],[c273]) ).
cnf(c277,plain,
inverse(multiply(double_divide(X3,X2),X2)) = multiply(X3,inverse(multiply(double_divide(X3,double_divide(inverse(X),X3)),X))),
inference(symmetry,[status(thm)],[c276]) ).
cnf(c278,plain,
multiply(multiply(double_divide(X4,X3),X3),inverse(multiply(double_divide(X4,X2),X2))) = multiply(multiply(double_divide(X4,X3),X3),multiply(X4,inverse(multiply(double_divide(X4,double_divide(inverse(X),X4)),X)))),
inference(congruence,[status(thm)],[c277]) ).
cnf(c279,plain,
multiply(multiply(double_divide(X4,double_divide(inverse(multiply(double_divide(X4,double_divide(inverse(X),X4)),X)),X4)),X2),inverse(X2)) = multiply(multiply(double_divide(X4,X3),X3),multiply(X4,inverse(multiply(double_divide(X4,double_divide(inverse(X),X4)),X)))),
inference(substitution,[status(thm)],[c252]) ).
cnf(c280,plain,
multiply(multiply(double_divide(X4,X3),X3),multiply(X4,inverse(multiply(double_divide(X4,double_divide(inverse(X),X4)),X)))) = multiply(multiply(double_divide(X4,double_divide(inverse(multiply(double_divide(X4,double_divide(inverse(X),X4)),X)),X4)),X2),inverse(X2)),
inference(symmetry,[status(thm)],[c279]) ).
cnf(c281,plain,
double_divide(inverse(multiply(double_divide(X3,double_divide(inverse(X2),X3)),X2)),X3) = multiply(double_divide(X3,X),X),
inference(substitution,[status(thm)],[c200]) ).
cnf(c282,plain,
double_divide(X3,double_divide(inverse(multiply(double_divide(X3,double_divide(inverse(X2),X3)),X2)),X3)) = double_divide(X3,multiply(double_divide(X3,X),X)),
inference(congruence,[status(thm)],[c281]) ).
cnf(c283,plain,
multiply(double_divide(X4,double_divide(inverse(multiply(double_divide(X4,double_divide(inverse(X2),X4)),X2)),X4)),X3) = multiply(double_divide(X4,multiply(double_divide(X4,X),X)),X3),
inference(congruence,[status(thm)],[c282]) ).
cnf(c284,plain,
multiply(multiply(double_divide(X4,double_divide(inverse(multiply(double_divide(X4,double_divide(inverse(X2),X4)),X2)),X4)),X3),inverse(X3)) = multiply(multiply(double_divide(X4,multiply(double_divide(X4,X),X)),X3),inverse(X3)),
inference(congruence,[status(thm)],[c283]) ).
cnf(c285,plain,
multiply(double_divide(X3,multiply(double_divide(X3,X),X)),X2) = X2,
inference(substitution,[status(thm)],[c192]) ).
cnf(c286,plain,
multiply(multiply(double_divide(X3,multiply(double_divide(X3,X),X)),X2),inverse(X2)) = multiply(X2,inverse(X2)),
inference(congruence,[status(thm)],[c285]) ).
cnf(c287,plain,
multiply(multiply(double_divide(X3,double_divide(inverse(multiply(double_divide(X3,double_divide(inverse(X),X3)),X)),X3)),X2),inverse(X2)) = multiply(X2,inverse(X2)),
inference(transitivity,[status(thm)],[c284,c286]) ).
cnf(c288,plain,
multiply(multiply(double_divide(X4,X3),X3),multiply(X4,inverse(multiply(double_divide(X4,double_divide(inverse(X),X4)),X)))) = multiply(X2,inverse(X2)),
inference(transitivity,[status(thm)],[c280,c287]) ).
cnf(c289,plain,
multiply(multiply(double_divide(X4,X3),X3),inverse(multiply(double_divide(X4,X2),X2))) = multiply(X,inverse(X)),
inference(transitivity,[status(thm)],[c278,c288]) ).
cnf(c290,plain,
multiply(multiply(double_divide(X4,X2),X2),inverse(multiply(double_divide(X4,X),X))) = multiply(X3,inverse(X3)),
inference(substitution,[status(thm)],[c289]) ).
cnf(c291,plain,
multiply(multiply(double_divide(X4,X),X),multiply(X4,inverse(multiply(double_divide(X4,double_divide(inverse(X2),X4)),X2)))) = multiply(X3,inverse(X3)),
inference(transitivity,[status(thm)],[c275,c290]) ).
cnf(c292,plain,
inverse(multiply(double_divide(inverse(multiply(double_divide(X3,double_divide(inverse(X),X3)),X)),X3),X3)) = multiply(X2,inverse(X2)),
inference(transitivity,[status(thm)],[c262,c291]) ).
cnf(c293,plain,
inverse(multiply(multiply(double_divide(X3,X2),X2),X3)) = multiply(X,inverse(X)),
inference(transitivity,[status(thm)],[c204,c292]) ).
cnf(c294,plain,
inverse(multiply(multiply(double_divide(X2,X),X),X2)) = multiply(X3,inverse(X3)),
inference(substitution,[status(thm)],[c293]) ).
cnf(c295,plain,
multiply(X3,inverse(X3)) = inverse(multiply(multiply(double_divide(X2,X),X),X2)),
inference(symmetry,[status(thm)],[c294]) ).
cnf(c296,plain,
double_divide(multiply(X5,inverse(X5)),double_divide(X4,multiply(double_divide(X4,X3),X3))) = double_divide(inverse(multiply(multiply(double_divide(X2,X),X),X2)),double_divide(X4,multiply(double_divide(X4,X3),X3))),
inference(congruence,[status(thm)],[c295]) ).
cnf(c297,plain,
double_divide(inverse(multiply(multiply(double_divide(X2,X),X),X2)),double_divide(X4,multiply(double_divide(X4,X3),X3))) = multiply(multiply(double_divide(X2,X),X),X2),
inference(substitution,[status(thm)],[c119]) ).
cnf(c298,plain,
double_divide(multiply(X5,inverse(X5)),double_divide(X4,multiply(double_divide(X4,X3),X3))) = multiply(multiply(double_divide(X2,X),X),X2),
inference(transitivity,[status(thm)],[c296,c297]) ).
cnf(c299,plain,
double_divide(multiply(X3,inverse(X3)),double_divide(X2,multiply(double_divide(X2,X),X))) = multiply(multiply(double_divide(X5,X4),X4),X5),
inference(substitution,[status(thm)],[c298]) ).
cnf(c300,plain,
multiply(multiply(double_divide(X5,X4),X4),X5) = double_divide(multiply(X3,inverse(X3)),double_divide(X2,multiply(double_divide(X2,X),X))),
inference(symmetry,[status(thm)],[c299]) ).
cnf(c301,plain,
double_divide(multiply(X3,inverse(X3)),double_divide(X2,multiply(double_divide(X2,X),X))) = double_divide(inverse(X3),X3),
inference(substitution,[status(thm)],[c121]) ).
cnf(c302,plain,
multiply(multiply(double_divide(X3,X2),X2),X3) = double_divide(inverse(X),X),
inference(transitivity,[status(thm)],[c300,c301]) ).
cnf(c303,plain,
multiply(multiply(double_divide(inverse(X3),X),X),inverse(X3)) = double_divide(inverse(X2),X2),
inference(substitution,[status(thm)],[c302]) ).
cnf(c304,plain,
multiply(multiply(multiply(X3,X2),inverse(X2)),inverse(X3)) = double_divide(inverse(X),X),
inference(transitivity,[status(thm)],[c171,c303]) ).
cnf(c305,plain,
multiply(multiply(multiply(X2,X),inverse(X)),inverse(X2)) = double_divide(inverse(X3),X3),
inference(substitution,[status(thm)],[c304]) ).
cnf(c306,plain,
double_divide(inverse(X3),X3) = multiply(multiply(multiply(X2,X),inverse(X)),inverse(X2)),
inference(symmetry,[status(thm)],[c305]) ).
cnf(c307,plain,
multiply(double_divide(inverse(X3),X),X) = multiply(multiply(X3,X2),inverse(X2)),
inference(substitution,[status(thm)],[c168]) ).
cnf(c308,plain,
multiply(multiply(X3,X2),inverse(X2)) = multiply(double_divide(inverse(X3),X),X),
inference(symmetry,[status(thm)],[c307]) ).
cnf(c309,plain,
multiply(double_divide(X2,double_divide(inverse(X),X2)),multiply(X,X4)) = multiply(double_divide(inverse(X4),X3),X3),
inference(substitution,[status(thm)],[c147]) ).
cnf(c310,plain,
multiply(double_divide(inverse(X4),X3),X3) = multiply(double_divide(X2,double_divide(inverse(X),X2)),multiply(X,X4)),
inference(symmetry,[status(thm)],[c309]) ).
cnf(c311,plain,
double_divide(multiply(multiply(double_divide(X5,X3),X3),multiply(X5,X4)),double_divide(X2,multiply(double_divide(X2,X),X))) = double_divide(multiply(X5,X4),multiply(double_divide(X5,X3),X3)),
inference(substitution,[status(thm)],[c121]) ).
cnf(c312,plain,
double_divide(multiply(X5,X4),multiply(double_divide(X5,X3),X3)) = double_divide(multiply(multiply(double_divide(X5,X3),X3),multiply(X5,X4)),double_divide(X2,multiply(double_divide(X2,X),X))),
inference(symmetry,[status(thm)],[c311]) ).
cnf(c313,plain,
multiply(multiply(double_divide(X,double_divide(X4,X)),X2),inverse(X2)) = multiply(multiply(double_divide(X5,X3),X3),multiply(X5,X4)),
inference(substitution,[status(thm)],[c252]) ).
cnf(c314,plain,
multiply(multiply(double_divide(X5,X3),X3),multiply(X5,X4)) = multiply(multiply(double_divide(X,double_divide(X4,X)),X2),inverse(X2)),
inference(symmetry,[status(thm)],[c313]) ).
cnf(c315,plain,
double_divide(multiply(multiply(double_divide(X7,X5),X5),multiply(X7,X6)),double_divide(X2,multiply(double_divide(X2,X),X))) = double_divide(multiply(multiply(double_divide(X3,double_divide(X6,X3)),X4),inverse(X4)),double_divide(X2,multiply(double_divide(X2,X),X))),
inference(congruence,[status(thm)],[c314]) ).
cnf(c316,plain,
double_divide(multiply(multiply(double_divide(X3,double_divide(X5,X3)),X4),inverse(X4)),double_divide(X2,multiply(double_divide(X2,X),X))) = double_divide(inverse(X4),multiply(double_divide(X3,double_divide(X5,X3)),X4)),
inference(substitution,[status(thm)],[c121]) ).
cnf(c317,plain,
double_divide(multiply(multiply(double_divide(X7,X5),X5),multiply(X7,X6)),double_divide(X2,multiply(double_divide(X2,X),X))) = double_divide(inverse(X4),multiply(double_divide(X3,double_divide(X6,X3)),X4)),
inference(transitivity,[status(thm)],[c315,c316]) ).
cnf(c318,plain,
double_divide(multiply(X5,X4),multiply(double_divide(X5,X3),X3)) = double_divide(inverse(X2),multiply(double_divide(X,double_divide(X4,X)),X2)),
inference(transitivity,[status(thm)],[c312,c317]) ).
cnf(c319,plain,
double_divide(multiply(X2,inverse(X3)),multiply(double_divide(X2,X),X)) = double_divide(inverse(X5),multiply(double_divide(X4,double_divide(inverse(X3),X4)),X5)),
inference(substitution,[status(thm)],[c318]) ).
cnf(c320,plain,
double_divide(inverse(X5),multiply(double_divide(X4,double_divide(inverse(X3),X4)),X5)) = double_divide(multiply(X2,inverse(X3)),multiply(double_divide(X2,X),X)),
inference(symmetry,[status(thm)],[c319]) ).
cnf(c321,plain,
double_divide(multiply(multiply(double_divide(X4,X3),X3),multiply(X4,inverse(X5))),double_divide(X2,multiply(double_divide(X2,X),X))) = double_divide(multiply(X4,inverse(X5)),multiply(double_divide(X4,X3),X3)),
inference(substitution,[status(thm)],[c121]) ).
cnf(c322,plain,
double_divide(multiply(X4,inverse(X5)),multiply(double_divide(X4,X3),X3)) = double_divide(multiply(multiply(double_divide(X4,X3),X3),multiply(X4,inverse(X5))),double_divide(X2,multiply(double_divide(X2,X),X))),
inference(symmetry,[status(thm)],[c321]) ).
cnf(c323,plain,
multiply(double_divide(X4,double_divide(X3,X4)),multiply(double_divide(X3,double_divide(X2,multiply(double_divide(X2,X),X))),X5)) = multiply(double_divide(X7,double_divide(inverse(X6),X7)),multiply(X6,X5)),
inference(substitution,[status(thm)],[c140]) ).
cnf(c324,plain,
multiply(double_divide(X7,double_divide(inverse(X6),X7)),multiply(X6,X5)) = multiply(double_divide(X4,double_divide(X3,X4)),multiply(double_divide(X3,double_divide(X2,multiply(double_divide(X2,X),X))),X5)),
inference(symmetry,[status(thm)],[c323]) ).
cnf(c325,plain,
inverse(multiply(double_divide(X7,double_divide(inverse(X6),X7)),multiply(X6,X5))) = inverse(multiply(double_divide(X4,double_divide(X3,X4)),multiply(double_divide(X3,double_divide(X2,multiply(double_divide(X2,X),X))),X5))),
inference(congruence,[status(thm)],[c324]) ).
cnf(c326,plain,
multiply(multiply(double_divide(X2,double_divide(inverse(X3),X2)),multiply(double_divide(inverse(X3),multiply(double_divide(X6,double_divide(X5,X6)),multiply(double_divide(X5,X4),X3))),X)),inverse(X)) = inverse(multiply(double_divide(X6,double_divide(X5,X6)),multiply(double_divide(X5,X4),X3))),
inference(substitution,[status(thm)],[c15]) ).
cnf(c327,plain,
inverse(multiply(double_divide(X6,double_divide(X5,X6)),multiply(double_divide(X5,X4),X3))) = multiply(multiply(double_divide(X2,double_divide(inverse(X3),X2)),multiply(double_divide(inverse(X3),multiply(double_divide(X6,double_divide(X5,X6)),multiply(double_divide(X5,X4),X3))),X)),inverse(X)),
inference(symmetry,[status(thm)],[c326]) ).
cnf(c328,plain,
double_divide(inverse(X),multiply(double_divide(X4,double_divide(X3,X4)),multiply(double_divide(X3,X2),X))) = X2,
inference(substitution,[status(thm)],[c12]) ).
cnf(c329,plain,
multiply(double_divide(inverse(X2),multiply(double_divide(X5,double_divide(X4,X5)),multiply(double_divide(X4,X3),X2))),X) = multiply(X3,X),
inference(congruence,[status(thm)],[c328]) ).
cnf(c330,plain,
multiply(double_divide(X2,double_divide(inverse(X3),X2)),multiply(double_divide(inverse(X3),multiply(double_divide(X6,double_divide(X5,X6)),multiply(double_divide(X5,X4),X3))),X)) = multiply(double_divide(X2,double_divide(inverse(X3),X2)),multiply(X4,X)),
inference(congruence,[status(thm)],[c329]) ).
cnf(c331,plain,
multiply(multiply(double_divide(X2,double_divide(inverse(X3),X2)),multiply(double_divide(inverse(X3),multiply(double_divide(X6,double_divide(X5,X6)),multiply(double_divide(X5,X4),X3))),X)),inverse(X)) = multiply(multiply(double_divide(X2,double_divide(inverse(X3),X2)),multiply(X4,X)),inverse(X)),
inference(congruence,[status(thm)],[c330]) ).
cnf(c332,plain,
inverse(multiply(double_divide(X6,double_divide(X5,X6)),multiply(double_divide(X5,X4),X3))) = multiply(multiply(double_divide(X2,double_divide(inverse(X3),X2)),multiply(X4,X)),inverse(X)),
inference(transitivity,[status(thm)],[c327,c331]) ).
cnf(c333,plain,
inverse(multiply(double_divide(X5,double_divide(X4,X5)),multiply(double_divide(X4,double_divide(X3,multiply(double_divide(X3,X2),X2))),X6))) = multiply(multiply(double_divide(X,double_divide(inverse(X6),X)),multiply(double_divide(X3,multiply(double_divide(X3,X2),X2)),X7)),inverse(X7)),
inference(substitution,[status(thm)],[c332]) ).
cnf(c334,plain,
multiply(double_divide(X2,double_divide(inverse(X5),X2)),multiply(double_divide(X4,multiply(double_divide(X4,X3),X3)),X)) = multiply(double_divide(X2,double_divide(inverse(X5),X2)),X),
inference(congruence,[status(thm)],[c192]) ).
cnf(c335,plain,
multiply(multiply(double_divide(X2,double_divide(inverse(X5),X2)),multiply(double_divide(X4,multiply(double_divide(X4,X3),X3)),X)),inverse(X)) = multiply(multiply(double_divide(X2,double_divide(inverse(X5),X2)),X),inverse(X)),
inference(congruence,[status(thm)],[c334]) ).
cnf(c336,plain,
multiply(multiply(double_divide(X2,double_divide(inverse(X5),X2)),X),inverse(X)) = multiply(multiply(double_divide(X4,X3),X3),multiply(X4,inverse(X5))),
inference(substitution,[status(thm)],[c252]) ).
cnf(c337,plain,
multiply(multiply(double_divide(X2,double_divide(inverse(X7),X2)),multiply(double_divide(X4,multiply(double_divide(X4,X3),X3)),X)),inverse(X)) = multiply(multiply(double_divide(X6,X5),X5),multiply(X6,inverse(X7))),
inference(transitivity,[status(thm)],[c335,c336]) ).
cnf(c338,plain,
inverse(multiply(double_divide(X4,double_divide(X3,X4)),multiply(double_divide(X3,double_divide(X2,multiply(double_divide(X2,X),X))),X7))) = multiply(multiply(double_divide(X6,X5),X5),multiply(X6,inverse(X7))),
inference(transitivity,[status(thm)],[c333,c337]) ).
cnf(c339,plain,
inverse(multiply(double_divide(X5,double_divide(inverse(X4),X5)),multiply(X4,X3))) = multiply(multiply(double_divide(X2,X),X),multiply(X2,inverse(X3))),
inference(transitivity,[status(thm)],[c325,c338]) ).
cnf(c340,plain,
inverse(multiply(double_divide(X4,double_divide(inverse(X3),X4)),multiply(X3,X5))) = multiply(multiply(double_divide(X2,X),X),multiply(X2,inverse(X5))),
inference(substitution,[status(thm)],[c339]) ).
cnf(c341,plain,
multiply(multiply(double_divide(X2,X),X),multiply(X2,inverse(X5))) = inverse(multiply(double_divide(X4,double_divide(inverse(X3),X4)),multiply(X3,X5))),
inference(symmetry,[status(thm)],[c340]) ).
cnf(c342,plain,
double_divide(multiply(multiply(double_divide(X4,X3),X3),multiply(X4,inverse(X7))),double_divide(X2,multiply(double_divide(X2,X),X))) = double_divide(inverse(multiply(double_divide(X6,double_divide(inverse(X5),X6)),multiply(X5,X7))),double_divide(X2,multiply(double_divide(X2,X),X))),
inference(congruence,[status(thm)],[c341]) ).
cnf(c343,plain,
double_divide(inverse(multiply(double_divide(X4,double_divide(inverse(X3),X4)),multiply(X3,X5))),double_divide(X2,multiply(double_divide(X2,X),X))) = multiply(double_divide(X4,double_divide(inverse(X3),X4)),multiply(X3,X5)),
inference(substitution,[status(thm)],[c119]) ).
cnf(c344,plain,
double_divide(multiply(multiply(double_divide(X4,X3),X3),multiply(X4,inverse(X7))),double_divide(X2,multiply(double_divide(X2,X),X))) = multiply(double_divide(X6,double_divide(inverse(X5),X6)),multiply(X5,X7)),
inference(transitivity,[status(thm)],[c342,c343]) ).
cnf(c345,plain,
double_divide(multiply(X2,inverse(X5)),multiply(double_divide(X2,X),X)) = multiply(double_divide(X4,double_divide(inverse(X3),X4)),multiply(X3,X5)),
inference(transitivity,[status(thm)],[c322,c344]) ).
cnf(c346,plain,
double_divide(inverse(X5),multiply(double_divide(X4,double_divide(inverse(X3),X4)),X5)) = multiply(double_divide(X2,double_divide(inverse(X),X2)),multiply(X,X3)),
inference(transitivity,[status(thm)],[c320,c345]) ).
cnf(c347,plain,
double_divide(inverse(double_divide(inverse(X2),X2)),multiply(double_divide(X,double_divide(inverse(X5),X)),double_divide(inverse(X2),X2))) = multiply(double_divide(X4,double_divide(inverse(X3),X4)),multiply(X3,X5)),
inference(substitution,[status(thm)],[c346]) ).
cnf(c348,plain,
multiply(double_divide(X4,double_divide(inverse(X3),X4)),multiply(X3,X5)) = double_divide(inverse(double_divide(inverse(X2),X2)),multiply(double_divide(X,double_divide(inverse(X5),X)),double_divide(inverse(X2),X2))),
inference(symmetry,[status(thm)],[c347]) ).
cnf(c349,plain,
multiply(multiply(double_divide(X2,X),X),X2) = double_divide(inverse(X3),X3),
inference(substitution,[status(thm)],[c302]) ).
cnf(c350,plain,
double_divide(inverse(X3),X3) = multiply(multiply(double_divide(X2,X),X),X2),
inference(symmetry,[status(thm)],[c349]) ).
cnf(c351,plain,
multiply(double_divide(inverse(X4),X4),double_divide(inverse(X3),X3)) = multiply(double_divide(inverse(X4),X4),multiply(multiply(double_divide(X2,X),X),X2)),
inference(congruence,[status(thm)],[c350]) ).
cnf(c352,plain,
multiply(X,X2) = inverse(double_divide(X2,X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c353,plain,
multiply(multiply(double_divide(X2,X),X),multiply(X2,X3)) = multiply(multiply(double_divide(X2,X),X),inverse(double_divide(X3,X2))),
inference(congruence,[status(thm)],[c352]) ).
cnf(c354,plain,
multiply(double_divide(X2,X),X) = multiply(double_divide(X2,double_divide(X3,X2)),double_divide(X3,X2)),
inference(substitution,[status(thm)],[c106]) ).
cnf(c355,plain,
multiply(multiply(double_divide(X2,X),X),inverse(double_divide(X3,X2))) = multiply(multiply(double_divide(X2,double_divide(X3,X2)),double_divide(X3,X2)),inverse(double_divide(X3,X2))),
inference(congruence,[status(thm)],[c354]) ).
cnf(c356,plain,
multiply(multiply(double_divide(X,double_divide(X2,X)),double_divide(X2,X)),inverse(double_divide(X2,X))) = multiply(multiply(double_divide(X3,double_divide(X2,X3)),double_divide(X2,X3)),inverse(double_divide(X2,X3))),
inference(substitution,[status(thm)],[c243]) ).
cnf(c357,plain,
multiply(double_divide(X3,X2),X2) = multiply(double_divide(X3,double_divide(X,X3)),double_divide(X,X3)),
inference(substitution,[status(thm)],[c106]) ).
cnf(c358,plain,
multiply(double_divide(X3,double_divide(X,X3)),double_divide(X,X3)) = multiply(double_divide(X3,X2),X2),
inference(symmetry,[status(thm)],[c357]) ).
cnf(c359,plain,
multiply(multiply(double_divide(X3,double_divide(X,X3)),double_divide(X,X3)),inverse(double_divide(X,X3))) = multiply(multiply(double_divide(X3,X2),X2),inverse(double_divide(X,X3))),
inference(congruence,[status(thm)],[c358]) ).
cnf(c360,plain,
multiply(X2,X) = inverse(double_divide(X,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c361,plain,
inverse(double_divide(X,X2)) = multiply(X2,X),
inference(symmetry,[status(thm)],[c360]) ).
cnf(c362,plain,
multiply(multiply(double_divide(X3,X2),X2),inverse(double_divide(X,X3))) = multiply(multiply(double_divide(X3,X2),X2),multiply(X3,X)),
inference(congruence,[status(thm)],[c361]) ).
cnf(c363,plain,
multiply(multiply(double_divide(X3,double_divide(X,X3)),double_divide(X,X3)),inverse(double_divide(X,X3))) = multiply(multiply(double_divide(X3,X2),X2),multiply(X3,X)),
inference(transitivity,[status(thm)],[c359,c362]) ).
cnf(c364,plain,
multiply(multiply(double_divide(X,double_divide(X2,X)),double_divide(X2,X)),inverse(double_divide(X2,X))) = multiply(multiply(double_divide(X4,X3),X3),multiply(X4,X2)),
inference(transitivity,[status(thm)],[c356,c363]) ).
cnf(c365,plain,
multiply(multiply(double_divide(X2,X),X),inverse(double_divide(X3,X2))) = multiply(multiply(double_divide(X5,X4),X4),multiply(X5,X3)),
inference(transitivity,[status(thm)],[c355,c364]) ).
cnf(c366,plain,
multiply(multiply(double_divide(X2,X),X),multiply(X2,X3)) = multiply(multiply(double_divide(X5,X4),X4),multiply(X5,X3)),
inference(transitivity,[status(thm)],[c353,c365]) ).
cnf(c367,plain,
multiply(multiply(double_divide(X5,X4),X4),multiply(X5,X3)) = multiply(multiply(double_divide(double_divide(inverse(X2),X2),X),X),multiply(double_divide(inverse(X2),X2),X3)),
inference(substitution,[status(thm)],[c366]) ).
cnf(c368,plain,
multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,X),X)) = double_divide(X5,multiply(double_divide(X5,X4),X4)),
inference(substitution,[status(thm)],[c114]) ).
cnf(c369,plain,
double_divide(X5,multiply(double_divide(X5,X4),X4)) = multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,X),X)),
inference(symmetry,[status(thm)],[c368]) ).
cnf(c370,plain,
multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,X),X)) = inverse(double_divide(multiply(double_divide(X2,X),X),double_divide(X3,double_divide(X2,X3)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c371,plain,
double_divide(multiply(double_divide(X3,double_divide(X4,X3)),multiply(double_divide(X4,X6),X5)),double_divide(X2,multiply(double_divide(X2,X),X))) = double_divide(multiply(double_divide(X4,X6),X5),double_divide(X3,double_divide(X4,X3))),
inference(substitution,[status(thm)],[c121]) ).
cnf(c372,plain,
double_divide(multiply(double_divide(X4,X6),X5),double_divide(X3,double_divide(X4,X3))) = double_divide(multiply(double_divide(X3,double_divide(X4,X3)),multiply(double_divide(X4,X6),X5)),double_divide(X2,multiply(double_divide(X2,X),X))),
inference(symmetry,[status(thm)],[c371]) ).
cnf(c373,plain,
multiply(double_divide(X,double_divide(X2,X)),multiply(double_divide(X2,X5),X4)) = multiply(double_divide(X3,double_divide(X6,X3)),multiply(double_divide(X6,X5),X4)),
inference(substitution,[status(thm)],[c61]) ).
cnf(c374,plain,
double_divide(multiply(double_divide(X3,double_divide(X4,X3)),multiply(double_divide(X4,X7),X6)),double_divide(X2,multiply(double_divide(X2,X),X))) = double_divide(multiply(double_divide(X5,double_divide(X8,X5)),multiply(double_divide(X8,X7),X6)),double_divide(X2,multiply(double_divide(X2,X),X))),
inference(congruence,[status(thm)],[c373]) ).
cnf(c375,plain,
double_divide(multiply(double_divide(X3,double_divide(X6,X3)),multiply(double_divide(X6,X5),X4)),double_divide(X2,multiply(double_divide(X2,X),X))) = double_divide(multiply(double_divide(X6,X5),X4),double_divide(X3,double_divide(X6,X3))),
inference(substitution,[status(thm)],[c121]) ).
cnf(c376,plain,
double_divide(multiply(double_divide(X3,double_divide(X4,X3)),multiply(double_divide(X4,X7),X6)),double_divide(X2,multiply(double_divide(X2,X),X))) = double_divide(multiply(double_divide(X8,X7),X6),double_divide(X5,double_divide(X8,X5))),
inference(transitivity,[status(thm)],[c374,c375]) ).
cnf(c377,plain,
double_divide(multiply(double_divide(X2,X5),X4),double_divide(X,double_divide(X2,X))) = double_divide(multiply(double_divide(X6,X5),X4),double_divide(X3,double_divide(X6,X3))),
inference(transitivity,[status(thm)],[c372,c376]) ).
cnf(c378,plain,
double_divide(multiply(double_divide(X5,X4),X4),double_divide(X3,double_divide(X5,X3))) = double_divide(multiply(double_divide(inverse(X2),X4),X4),double_divide(X,double_divide(inverse(X2),X))),
inference(substitution,[status(thm)],[c377]) ).
cnf(c379,plain,
X3 = double_divide(inverse(X3),double_divide(X2,multiply(double_divide(X2,X),X))),
inference(symmetry,[status(thm)],[c119]) ).
cnf(c380,plain,
multiply(X3,double_divide(X2,multiply(double_divide(X2,X),X))) = multiply(double_divide(inverse(X3),double_divide(X2,multiply(double_divide(X2,X),X))),double_divide(X2,multiply(double_divide(X2,X),X))),
inference(congruence,[status(thm)],[c379]) ).
cnf(c381,plain,
multiply(double_divide(inverse(X4),X),X) = multiply(double_divide(inverse(X4),double_divide(X3,multiply(double_divide(X3,X2),X2))),double_divide(X3,multiply(double_divide(X3,X2),X2))),
inference(substitution,[status(thm)],[c106]) ).
cnf(c382,plain,
multiply(double_divide(inverse(X4),double_divide(X3,multiply(double_divide(X3,X2),X2))),double_divide(X3,multiply(double_divide(X3,X2),X2))) = multiply(double_divide(inverse(X4),X),X),
inference(symmetry,[status(thm)],[c381]) ).
cnf(c383,plain,
multiply(X4,double_divide(X3,multiply(double_divide(X3,X2),X2))) = multiply(double_divide(inverse(X4),X),X),
inference(transitivity,[status(thm)],[c380,c382]) ).
cnf(c384,plain,
multiply(X3,double_divide(X2,multiply(double_divide(X2,X),X))) = multiply(double_divide(inverse(X3),X4),X4),
inference(substitution,[status(thm)],[c383]) ).
cnf(c385,plain,
multiply(double_divide(inverse(X3),X4),X4) = multiply(X3,double_divide(X2,multiply(double_divide(X2,X),X))),
inference(symmetry,[status(thm)],[c384]) ).
cnf(c386,plain,
double_divide(multiply(double_divide(inverse(X4),X5),X5),double_divide(X3,double_divide(inverse(X4),X3))) = double_divide(multiply(X4,double_divide(X2,multiply(double_divide(X2,X),X))),double_divide(X3,double_divide(inverse(X4),X3))),
inference(congruence,[status(thm)],[c385]) ).
cnf(c387,plain,
double_divide(multiply(X4,double_divide(X2,multiply(double_divide(X2,X),X))),double_divide(X3,double_divide(inverse(X4),X3))) = double_divide(X5,double_divide(inverse(double_divide(X2,multiply(double_divide(X2,X),X))),X5)),
inference(substitution,[status(thm)],[c152]) ).
cnf(c388,plain,
multiply(multiply(double_divide(X2,X),X),X2) = inverse(double_divide(X2,multiply(double_divide(X2,X),X))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c389,plain,
inverse(double_divide(X2,multiply(double_divide(X2,X),X))) = multiply(multiply(double_divide(X2,X),X),X2),
inference(symmetry,[status(thm)],[c388]) ).
cnf(c390,plain,
double_divide(inverse(double_divide(X2,multiply(double_divide(X2,X),X))),X3) = double_divide(multiply(multiply(double_divide(X2,X),X),X2),X3),
inference(congruence,[status(thm)],[c389]) ).
cnf(c391,plain,
double_divide(X3,double_divide(inverse(double_divide(X2,multiply(double_divide(X2,X),X))),X3)) = double_divide(X3,double_divide(multiply(multiply(double_divide(X2,X),X),X2),X3)),
inference(congruence,[status(thm)],[c390]) ).
cnf(c392,plain,
multiply(multiply(double_divide(X2,X),X),X2) = double_divide(inverse(X3),X3),
inference(substitution,[status(thm)],[c302]) ).
cnf(c393,plain,
double_divide(multiply(multiply(double_divide(X2,X),X),X2),X4) = double_divide(double_divide(inverse(X3),X3),X4),
inference(congruence,[status(thm)],[c392]) ).
cnf(c394,plain,
double_divide(X4,double_divide(multiply(multiply(double_divide(X2,X),X),X2),X4)) = double_divide(X4,double_divide(double_divide(inverse(X3),X3),X4)),
inference(congruence,[status(thm)],[c393]) ).
cnf(c395,plain,
double_divide(X4,double_divide(inverse(double_divide(X2,multiply(double_divide(X2,X),X))),X4)) = double_divide(X4,double_divide(double_divide(inverse(X3),X3),X4)),
inference(transitivity,[status(thm)],[c391,c394]) ).
cnf(c396,plain,
double_divide(multiply(X4,double_divide(X2,multiply(double_divide(X2,X),X))),double_divide(X3,double_divide(inverse(X4),X3))) = double_divide(X6,double_divide(double_divide(inverse(X5),X5),X6)),
inference(transitivity,[status(thm)],[c387,c395]) ).
cnf(c397,plain,
double_divide(multiply(double_divide(inverse(X2),X5),X5),double_divide(X,double_divide(inverse(X2),X))) = double_divide(X4,double_divide(double_divide(inverse(X3),X3),X4)),
inference(transitivity,[status(thm)],[c386,c396]) ).
cnf(c398,plain,
double_divide(multiply(double_divide(X5,X4),X4),double_divide(X3,double_divide(X5,X3))) = double_divide(X2,double_divide(double_divide(inverse(X),X),X2)),
inference(transitivity,[status(thm)],[c378,c397]) ).
cnf(c399,plain,
double_divide(multiply(double_divide(X2,X),X),double_divide(X3,double_divide(X2,X3))) = double_divide(X4,double_divide(double_divide(inverse(X5),X5),X4)),
inference(substitution,[status(thm)],[c398]) ).
cnf(c400,plain,
inverse(double_divide(multiply(double_divide(X2,X),X),double_divide(X3,double_divide(X2,X3)))) = inverse(double_divide(X4,double_divide(double_divide(inverse(X5),X5),X4))),
inference(congruence,[status(thm)],[c399]) ).
cnf(c401,plain,
multiply(double_divide(double_divide(inverse(X2),X2),X),X) = inverse(double_divide(X,double_divide(double_divide(inverse(X2),X2),X))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c402,plain,
inverse(double_divide(X,double_divide(double_divide(inverse(X2),X2),X))) = multiply(double_divide(double_divide(inverse(X2),X2),X),X),
inference(symmetry,[status(thm)],[c401]) ).
cnf(c403,plain,
inverse(double_divide(multiply(double_divide(X2,X),X),double_divide(X3,double_divide(X2,X3)))) = multiply(double_divide(double_divide(inverse(X5),X5),X4),X4),
inference(transitivity,[status(thm)],[c400,c402]) ).
cnf(c404,plain,
multiply(double_divide(X3,double_divide(X2,X3)),multiply(double_divide(X2,X),X)) = multiply(double_divide(double_divide(inverse(X5),X5),X4),X4),
inference(transitivity,[status(thm)],[c370,c403]) ).
cnf(c405,plain,
double_divide(X4,multiply(double_divide(X4,X3),X3)) = multiply(double_divide(double_divide(inverse(X2),X2),X),X),
inference(transitivity,[status(thm)],[c369,c404]) ).
cnf(c406,plain,
double_divide(X2,multiply(double_divide(X2,X),X)) = multiply(double_divide(double_divide(inverse(X4),X4),X3),X3),
inference(substitution,[status(thm)],[c405]) ).
cnf(c407,plain,
multiply(double_divide(double_divide(inverse(X4),X4),X3),X3) = double_divide(X2,multiply(double_divide(X2,X),X)),
inference(symmetry,[status(thm)],[c406]) ).
cnf(c408,plain,
multiply(multiply(double_divide(double_divide(inverse(X5),X5),X4),X4),X3) = multiply(double_divide(X2,multiply(double_divide(X2,X),X)),X3),
inference(congruence,[status(thm)],[c407]) ).
cnf(c409,plain,
multiply(double_divide(X2,multiply(double_divide(X2,X),X)),X3) = X3,
inference(substitution,[status(thm)],[c192]) ).
cnf(c410,plain,
multiply(multiply(double_divide(double_divide(inverse(X3),X3),X2),X2),X) = X,
inference(transitivity,[status(thm)],[c408,c409]) ).
cnf(c411,plain,
multiply(multiply(double_divide(double_divide(inverse(X2),X2),X),X),multiply(double_divide(inverse(X2),X2),X3)) = multiply(double_divide(inverse(X2),X2),X3),
inference(substitution,[status(thm)],[c410]) ).
cnf(c412,plain,
multiply(multiply(double_divide(X4,X3),X3),multiply(X4,X2)) = multiply(double_divide(inverse(X),X),X2),
inference(transitivity,[status(thm)],[c367,c411]) ).
cnf(c413,plain,
multiply(multiply(double_divide(X2,X),X),multiply(X2,multiply(multiply(double_divide(X4,X3),X3),X4))) = multiply(double_divide(inverse(X5),X5),multiply(multiply(double_divide(X4,X3),X3),X4)),
inference(substitution,[status(thm)],[c412]) ).
cnf(c414,plain,
multiply(double_divide(inverse(X5),X5),multiply(multiply(double_divide(X4,X3),X3),X4)) = multiply(multiply(double_divide(X2,X),X),multiply(X2,multiply(multiply(double_divide(X4,X3),X3),X4))),
inference(symmetry,[status(thm)],[c413]) ).
cnf(c415,plain,
multiply(multiply(double_divide(X2,X),X),X2) = inverse(double_divide(X2,multiply(double_divide(X2,X),X))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c416,plain,
multiply(X3,multiply(multiply(double_divide(X2,X),X),X2)) = multiply(X3,inverse(double_divide(X2,multiply(double_divide(X2,X),X)))),
inference(congruence,[status(thm)],[c415]) ).
cnf(c417,plain,
multiply(multiply(double_divide(X4,X3),X3),multiply(X4,multiply(multiply(double_divide(X2,X),X),X2))) = multiply(multiply(double_divide(X4,X3),X3),multiply(X4,inverse(double_divide(X2,multiply(double_divide(X2,X),X))))),
inference(congruence,[status(thm)],[c416]) ).
cnf(c418,plain,
multiply(multiply(double_divide(X2,double_divide(inverse(double_divide(X4,multiply(double_divide(X4,X3),X3))),X2)),X),inverse(X)) = multiply(multiply(double_divide(X6,X5),X5),multiply(X6,inverse(double_divide(X4,multiply(double_divide(X4,X3),X3))))),
inference(substitution,[status(thm)],[c252]) ).
cnf(c419,plain,
multiply(multiply(double_divide(X6,X5),X5),multiply(X6,inverse(double_divide(X4,multiply(double_divide(X4,X3),X3))))) = multiply(multiply(double_divide(X2,double_divide(inverse(double_divide(X4,multiply(double_divide(X4,X3),X3))),X2)),X),inverse(X)),
inference(symmetry,[status(thm)],[c418]) ).
cnf(c420,plain,
X = multiply(double_divide(X3,multiply(double_divide(X3,X2),X2)),X),
inference(symmetry,[status(thm)],[c192]) ).
cnf(c421,plain,
multiply(double_divide(X2,double_divide(inverse(double_divide(X4,multiply(double_divide(X4,X3),X3))),X2)),X) = multiply(double_divide(X2,double_divide(inverse(double_divide(X4,multiply(double_divide(X4,X3),X3))),X2)),multiply(double_divide(X4,multiply(double_divide(X4,X3),X3)),X)),
inference(congruence,[status(thm)],[c420]) ).
cnf(c422,plain,
multiply(multiply(double_divide(X2,double_divide(inverse(double_divide(X4,multiply(double_divide(X4,X3),X3))),X2)),X),inverse(X)) = multiply(multiply(double_divide(X2,double_divide(inverse(double_divide(X4,multiply(double_divide(X4,X3),X3))),X2)),multiply(double_divide(X4,multiply(double_divide(X4,X3),X3)),X)),inverse(X)),
inference(congruence,[status(thm)],[c421]) ).
cnf(c423,plain,
X3 = double_divide(inverse(X3),double_divide(X2,multiply(double_divide(X2,X),X))),
inference(symmetry,[status(thm)],[c119]) ).
cnf(c424,plain,
multiply(X4,X3) = multiply(double_divide(inverse(X4),double_divide(X2,multiply(double_divide(X2,X),X))),X3),
inference(congruence,[status(thm)],[c423]) ).
cnf(c425,plain,
multiply(double_divide(X5,double_divide(inverse(X4),X5)),multiply(X4,X3)) = multiply(double_divide(X5,double_divide(inverse(X4),X5)),multiply(double_divide(inverse(X4),double_divide(X2,multiply(double_divide(X2,X),X))),X3)),
inference(congruence,[status(thm)],[c424]) ).
cnf(c426,plain,
multiply(multiply(double_divide(X5,double_divide(inverse(X4),X5)),multiply(X4,X3)),inverse(X3)) = multiply(multiply(double_divide(X5,double_divide(inverse(X4),X5)),multiply(double_divide(inverse(X4),double_divide(X2,multiply(double_divide(X2,X),X))),X3)),inverse(X3)),
inference(congruence,[status(thm)],[c425]) ).
cnf(c427,plain,
multiply(multiply(double_divide(X5,double_divide(inverse(X4),X5)),multiply(double_divide(inverse(X4),double_divide(X2,multiply(double_divide(X2,X),X))),X3)),inverse(X3)) = inverse(double_divide(X2,multiply(double_divide(X2,X),X))),
inference(substitution,[status(thm)],[c15]) ).
cnf(c428,plain,
multiply(multiply(double_divide(X2,X),X),X2) = inverse(double_divide(X2,multiply(double_divide(X2,X),X))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c429,plain,
inverse(double_divide(X2,multiply(double_divide(X2,X),X))) = multiply(multiply(double_divide(X2,X),X),X2),
inference(symmetry,[status(thm)],[c428]) ).
cnf(c430,plain,
multiply(multiply(double_divide(X5,double_divide(inverse(X4),X5)),multiply(double_divide(inverse(X4),double_divide(X2,multiply(double_divide(X2,X),X))),X3)),inverse(X3)) = multiply(multiply(double_divide(X2,X),X),X2),
inference(transitivity,[status(thm)],[c427,c429]) ).
cnf(c431,plain,
multiply(multiply(double_divide(X5,double_divide(inverse(X4),X5)),multiply(X4,X3)),inverse(X3)) = multiply(multiply(double_divide(X2,X),X),X2),
inference(transitivity,[status(thm)],[c426,c430]) ).
cnf(c432,plain,
multiply(multiply(double_divide(X2,double_divide(inverse(double_divide(X6,multiply(double_divide(X6,X5),X5))),X2)),multiply(double_divide(X6,multiply(double_divide(X6,X5),X5)),X)),inverse(X)) = multiply(multiply(double_divide(X4,X3),X3),X4),
inference(substitution,[status(thm)],[c431]) ).
cnf(c433,plain,
multiply(multiply(double_divide(X2,double_divide(inverse(double_divide(X6,multiply(double_divide(X6,X5),X5))),X2)),X),inverse(X)) = multiply(multiply(double_divide(X4,X3),X3),X4),
inference(transitivity,[status(thm)],[c422,c432]) ).
cnf(c434,plain,
multiply(multiply(double_divide(X6,X5),X5),multiply(X6,inverse(double_divide(X4,multiply(double_divide(X4,X3),X3))))) = multiply(multiply(double_divide(X2,X),X),X2),
inference(transitivity,[status(thm)],[c419,c433]) ).
cnf(c435,plain,
multiply(multiply(double_divide(X6,X5),X5),multiply(X6,multiply(multiply(double_divide(X4,X3),X3),X4))) = multiply(multiply(double_divide(X2,X),X),X2),
inference(transitivity,[status(thm)],[c417,c434]) ).
cnf(c436,plain,
multiply(multiply(double_divide(X4,X3),X3),multiply(X4,multiply(multiply(double_divide(X6,X5),X5),X6))) = multiply(multiply(double_divide(X2,X),X),X2),
inference(substitution,[status(thm)],[c435]) ).
cnf(c437,plain,
multiply(multiply(double_divide(X2,X),X),X2) = double_divide(inverse(X3),X3),
inference(substitution,[status(thm)],[c302]) ).
cnf(c438,plain,
multiply(multiply(double_divide(X2,X),X),multiply(X2,multiply(multiply(double_divide(X4,X3),X3),X4))) = double_divide(inverse(X5),X5),
inference(transitivity,[status(thm)],[c436,c437]) ).
cnf(c439,plain,
multiply(double_divide(inverse(X4),X4),multiply(multiply(double_divide(X2,X),X),X2)) = double_divide(inverse(X3),X3),
inference(transitivity,[status(thm)],[c414,c438]) ).
cnf(c440,plain,
multiply(double_divide(inverse(X3),X3),double_divide(inverse(X2),X2)) = double_divide(inverse(X),X),
inference(transitivity,[status(thm)],[c351,c439]) ).
cnf(c441,plain,
multiply(double_divide(inverse(X2),X2),double_divide(inverse(X),X)) = double_divide(inverse(X),X),
inference(substitution,[status(thm)],[c440]) ).
cnf(c442,plain,
double_divide(inverse(X),X) = multiply(double_divide(inverse(X2),X2),double_divide(inverse(X),X)),
inference(symmetry,[status(thm)],[c441]) ).
cnf(c443,plain,
multiply(double_divide(X,double_divide(inverse(X3),X)),double_divide(inverse(X2),X2)) = multiply(double_divide(X,double_divide(inverse(X3),X)),multiply(double_divide(inverse(X3),X3),double_divide(inverse(X2),X2))),
inference(congruence,[status(thm)],[c442]) ).
cnf(c444,plain,
double_divide(inverse(double_divide(inverse(X2),X2)),multiply(double_divide(X,double_divide(inverse(X3),X)),double_divide(inverse(X2),X2))) = double_divide(inverse(double_divide(inverse(X2),X2)),multiply(double_divide(X,double_divide(inverse(X3),X)),multiply(double_divide(inverse(X3),X3),double_divide(inverse(X2),X2)))),
inference(congruence,[status(thm)],[c443]) ).
cnf(c445,plain,
double_divide(inverse(double_divide(inverse(X2),X2)),multiply(double_divide(X,double_divide(inverse(X3),X)),multiply(double_divide(inverse(X3),X3),double_divide(inverse(X2),X2)))) = X3,
inference(substitution,[status(thm)],[c12]) ).
cnf(c446,plain,
double_divide(inverse(double_divide(inverse(X2),X2)),multiply(double_divide(X,double_divide(inverse(X3),X)),double_divide(inverse(X2),X2))) = X3,
inference(transitivity,[status(thm)],[c444,c445]) ).
cnf(c447,plain,
multiply(double_divide(X2,double_divide(inverse(X),X2)),multiply(X,X3)) = X3,
inference(transitivity,[status(thm)],[c348,c446]) ).
cnf(c448,plain,
multiply(double_divide(inverse(X2),X),X) = X2,
inference(transitivity,[status(thm)],[c310,c447]) ).
cnf(c449,plain,
multiply(multiply(X2,X),inverse(X)) = X2,
inference(transitivity,[status(thm)],[c308,c448]) ).
cnf(c450,plain,
multiply(multiply(multiply(X2,X),inverse(X)),inverse(X2)) = multiply(X2,inverse(X2)),
inference(congruence,[status(thm)],[c449]) ).
cnf(c451,plain,
double_divide(inverse(X2),X2) = multiply(X,inverse(X)),
inference(transitivity,[status(thm)],[c306,c450]) ).
cnf(c452,plain,
double_divide(inverse(X),X) = multiply(X2,inverse(X2)),
inference(substitution,[status(thm)],[c451]) ).
cnf(c453,plain,
multiply(X2,inverse(X2)) = double_divide(inverse(X),X),
inference(symmetry,[status(thm)],[c452]) ).
cnf(c454,plain,
double_divide(multiply(X3,inverse(X3)),X2) = double_divide(double_divide(inverse(X),X),X2),
inference(congruence,[status(thm)],[c453]) ).
cnf(c455,plain,
multiply(double_divide(multiply(X3,inverse(X3)),X2),X2) = multiply(double_divide(double_divide(inverse(X),X),X2),X2),
inference(congruence,[status(thm)],[c454]) ).
cnf(c456,plain,
double_divide(multiply(X2,inverse(X2)),multiply(double_divide(multiply(X2,inverse(X2)),X),X)) = multiply(double_divide(double_divide(inverse(X3),X3),X4),X4),
inference(substitution,[status(thm)],[c405]) ).
cnf(c457,plain,
multiply(double_divide(double_divide(inverse(X3),X3),X4),X4) = double_divide(multiply(X2,inverse(X2)),multiply(double_divide(multiply(X2,inverse(X2)),X),X)),
inference(symmetry,[status(thm)],[c456]) ).
cnf(c458,plain,
double_divide(inverse(X),X) = multiply(X2,inverse(X2)),
inference(substitution,[status(thm)],[c451]) ).
cnf(c459,plain,
multiply(X2,inverse(X2)) = double_divide(inverse(X),X),
inference(symmetry,[status(thm)],[c458]) ).
cnf(c460,plain,
double_divide(multiply(X3,inverse(X3)),X2) = double_divide(double_divide(inverse(X),X),X2),
inference(congruence,[status(thm)],[c459]) ).
cnf(c461,plain,
multiply(double_divide(multiply(X3,inverse(X3)),X2),X2) = multiply(double_divide(double_divide(inverse(X),X),X2),X2),
inference(congruence,[status(thm)],[c460]) ).
cnf(c462,plain,
double_divide(multiply(X3,inverse(X3)),multiply(double_divide(multiply(X3,inverse(X3)),X2),X2)) = double_divide(multiply(X3,inverse(X3)),multiply(double_divide(double_divide(inverse(X),X),X2),X2)),
inference(congruence,[status(thm)],[c461]) ).
cnf(c463,plain,
double_divide(X2,multiply(double_divide(X2,X),X)) = multiply(double_divide(double_divide(inverse(X3),X3),X4),X4),
inference(substitution,[status(thm)],[c405]) ).
cnf(c464,plain,
multiply(double_divide(double_divide(inverse(X3),X3),X4),X4) = double_divide(X2,multiply(double_divide(X2,X),X)),
inference(symmetry,[status(thm)],[c463]) ).
cnf(c465,plain,
double_divide(multiply(X5,inverse(X5)),multiply(double_divide(double_divide(inverse(X3),X3),X4),X4)) = double_divide(multiply(X5,inverse(X5)),double_divide(X2,multiply(double_divide(X2,X),X))),
inference(congruence,[status(thm)],[c464]) ).
cnf(c466,plain,
multiply(multiply(double_divide(multiply(multiply(X3,X2),inverse(X2)),X),X),multiply(multiply(X3,X2),inverse(X2))) = double_divide(inverse(X4),X4),
inference(substitution,[status(thm)],[c302]) ).
cnf(c467,plain,
double_divide(inverse(X4),X4) = multiply(multiply(double_divide(multiply(multiply(X3,X2),inverse(X2)),X),X),multiply(multiply(X3,X2),inverse(X2))),
inference(symmetry,[status(thm)],[c466]) ).
cnf(c468,plain,
double_divide(multiply(multiply(X3,X2),inverse(X2)),X) = double_divide(X3,X),
inference(congruence,[status(thm)],[c449]) ).
cnf(c469,plain,
multiply(double_divide(multiply(multiply(X3,X2),inverse(X2)),X),X) = multiply(double_divide(X3,X),X),
inference(congruence,[status(thm)],[c468]) ).
cnf(c470,plain,
multiply(multiply(double_divide(multiply(multiply(X3,X2),inverse(X2)),X),X),multiply(multiply(X3,X2),inverse(X2))) = multiply(multiply(double_divide(X3,X),X),multiply(multiply(X3,X2),inverse(X2))),
inference(congruence,[status(thm)],[c469]) ).
cnf(c471,plain,
double_divide(inverse(multiply(double_divide(X4,X3),X3)),double_divide(X2,multiply(double_divide(X2,X),X))) = multiply(double_divide(X4,X3),X3),
inference(substitution,[status(thm)],[c119]) ).
cnf(c472,plain,
multiply(double_divide(X4,X3),X3) = double_divide(inverse(multiply(double_divide(X4,X3),X3)),double_divide(X2,multiply(double_divide(X2,X),X))),
inference(symmetry,[status(thm)],[c471]) ).
cnf(c473,plain,
multiply(multiply(double_divide(double_divide(inverse(X3),X3),X),X),multiply(double_divide(inverse(X3),X3),X3)) = inverse(multiply(double_divide(X3,X2),X2)),
inference(substitution,[status(thm)],[c260]) ).
cnf(c474,plain,
inverse(multiply(double_divide(X3,X2),X2)) = multiply(multiply(double_divide(double_divide(inverse(X3),X3),X),X),multiply(double_divide(inverse(X3),X3),X3)),
inference(symmetry,[status(thm)],[c473]) ).
cnf(c475,plain,
multiply(multiply(double_divide(double_divide(inverse(X2),X2),X),X),multiply(double_divide(inverse(X2),X2),X2)) = multiply(double_divide(inverse(X2),X2),X2),
inference(substitution,[status(thm)],[c410]) ).
cnf(c476,plain,
multiply(double_divide(inverse(X2),X2),X2) = multiply(multiply(X2,X),inverse(X)),
inference(substitution,[status(thm)],[c168]) ).
cnf(c477,plain,
multiply(multiply(double_divide(double_divide(inverse(X3),X3),X),X),multiply(double_divide(inverse(X3),X3),X3)) = multiply(multiply(X3,X2),inverse(X2)),
inference(transitivity,[status(thm)],[c475,c476]) ).
cnf(c478,plain,
inverse(multiply(double_divide(X3,X2),X2)) = multiply(multiply(X3,X),inverse(X)),
inference(transitivity,[status(thm)],[c474,c477]) ).
cnf(c479,plain,
double_divide(inverse(multiply(double_divide(X5,X4),X4)),double_divide(X3,multiply(double_divide(X3,X2),X2))) = double_divide(multiply(multiply(X5,X),inverse(X)),double_divide(X3,multiply(double_divide(X3,X2),X2))),
inference(congruence,[status(thm)],[c478]) ).
cnf(c480,plain,
double_divide(multiply(multiply(X4,X),inverse(X)),double_divide(X3,multiply(double_divide(X3,X2),X2))) = double_divide(inverse(X),multiply(X4,X)),
inference(substitution,[status(thm)],[c121]) ).
cnf(c481,plain,
double_divide(multiply(multiply(X3,X4),inverse(X4)),double_divide(X2,multiply(double_divide(X2,X),X))) = double_divide(inverse(X4),multiply(X3,X4)),
inference(substitution,[status(thm)],[c121]) ).
cnf(c482,plain,
double_divide(inverse(X4),multiply(X3,X4)) = double_divide(multiply(multiply(X3,X4),inverse(X4)),double_divide(X2,multiply(double_divide(X2,X),X))),
inference(symmetry,[status(thm)],[c481]) ).
cnf(c483,plain,
multiply(double_divide(inverse(X2),X),X) = multiply(multiply(X2,X3),inverse(X3)),
inference(substitution,[status(thm)],[c168]) ).
cnf(c484,plain,
multiply(multiply(X2,X3),inverse(X3)) = multiply(double_divide(inverse(X2),X),X),
inference(symmetry,[status(thm)],[c483]) ).
cnf(c485,plain,
double_divide(multiply(multiply(X4,X5),inverse(X5)),double_divide(X2,multiply(double_divide(X2,X),X))) = double_divide(multiply(double_divide(inverse(X4),X3),X3),double_divide(X2,multiply(double_divide(X2,X),X))),
inference(congruence,[status(thm)],[c484]) ).
cnf(c486,plain,
double_divide(multiply(double_divide(inverse(X4),X3),X3),double_divide(X2,multiply(double_divide(X2,X),X))) = double_divide(X3,double_divide(inverse(X4),X3)),
inference(substitution,[status(thm)],[c121]) ).
cnf(c487,plain,
double_divide(multiply(multiply(X4,X5),inverse(X5)),double_divide(X2,multiply(double_divide(X2,X),X))) = double_divide(X3,double_divide(inverse(X4),X3)),
inference(transitivity,[status(thm)],[c485,c486]) ).
cnf(c488,plain,
double_divide(inverse(X3),multiply(X2,X3)) = double_divide(X,double_divide(inverse(X2),X)),
inference(transitivity,[status(thm)],[c482,c487]) ).
cnf(c489,plain,
double_divide(inverse(X2),multiply(X3,X2)) = double_divide(X,double_divide(inverse(X3),X)),
inference(substitution,[status(thm)],[c488]) ).
cnf(c490,plain,
double_divide(inverse(X),multiply(X2,X)) = double_divide(X3,double_divide(inverse(X2),X3)),
inference(substitution,[status(thm)],[c488]) ).
cnf(c491,plain,
double_divide(X3,double_divide(inverse(X2),X3)) = double_divide(inverse(X),multiply(X2,X)),
inference(symmetry,[status(thm)],[c490]) ).
cnf(c492,plain,
multiply(double_divide(X4,double_divide(X2,X4)),multiply(double_divide(X2,double_divide(inverse(X),X3)),X)) = X3,
inference(substitution,[status(thm)],[c34]) ).
cnf(c493,plain,
X3 = multiply(double_divide(X4,double_divide(X2,X4)),multiply(double_divide(X2,double_divide(inverse(X),X3)),X)),
inference(symmetry,[status(thm)],[c492]) ).
cnf(c494,plain,
multiply(double_divide(X5,double_divide(X4,X5)),X3) = multiply(double_divide(X5,double_divide(X4,X5)),multiply(double_divide(X4,double_divide(X2,X4)),multiply(double_divide(X2,double_divide(inverse(X),X3)),X))),
inference(congruence,[status(thm)],[c493]) ).
cnf(c495,plain,
multiply(multiply(double_divide(X5,double_divide(X4,X5)),X3),inverse(multiply(double_divide(X2,double_divide(inverse(X),X3)),X))) = multiply(multiply(double_divide(X5,double_divide(X4,X5)),multiply(double_divide(X4,double_divide(X2,X4)),multiply(double_divide(X2,double_divide(inverse(X),X3)),X))),inverse(multiply(double_divide(X2,double_divide(inverse(X),X3)),X))),
inference(congruence,[status(thm)],[c494]) ).
cnf(c496,plain,
multiply(multiply(double_divide(X5,double_divide(X4,X5)),multiply(double_divide(X4,double_divide(X2,X4)),multiply(double_divide(X2,double_divide(inverse(X),X3)),X))),inverse(multiply(double_divide(X2,double_divide(inverse(X),X3)),X))) = inverse(double_divide(X2,X4)),
inference(substitution,[status(thm)],[c15]) ).
cnf(c497,plain,
multiply(X2,X) = inverse(double_divide(X,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c498,plain,
inverse(double_divide(X,X2)) = multiply(X2,X),
inference(symmetry,[status(thm)],[c497]) ).
cnf(c499,plain,
multiply(multiply(double_divide(X5,double_divide(X4,X5)),multiply(double_divide(X4,double_divide(X2,X4)),multiply(double_divide(X2,double_divide(inverse(X),X3)),X))),inverse(multiply(double_divide(X2,double_divide(inverse(X),X3)),X))) = multiply(X4,X2),
inference(transitivity,[status(thm)],[c496,c498]) ).
cnf(c500,plain,
multiply(multiply(double_divide(X5,double_divide(X4,X5)),X3),inverse(multiply(double_divide(X2,double_divide(inverse(X),X3)),X))) = multiply(X4,X2),
inference(transitivity,[status(thm)],[c495,c499]) ).
cnf(c501,plain,
multiply(multiply(double_divide(X3,double_divide(X5,X3)),X2),inverse(multiply(double_divide(X4,double_divide(inverse(X),X2)),X))) = multiply(X5,X4),
inference(substitution,[status(thm)],[c500]) ).
cnf(c502,plain,
multiply(X5,X4) = multiply(multiply(double_divide(X3,double_divide(X5,X3)),X2),inverse(multiply(double_divide(X4,double_divide(inverse(X),X2)),X))),
inference(symmetry,[status(thm)],[c501]) ).
cnf(c503,plain,
double_divide(inverse(X4),multiply(X5,X4)) = double_divide(inverse(X4),multiply(multiply(double_divide(X3,double_divide(X5,X3)),X2),inverse(multiply(double_divide(X4,double_divide(inverse(X),X2)),X)))),
inference(congruence,[status(thm)],[c502]) ).
cnf(c504,plain,
double_divide(multiply(multiply(X4,X3),inverse(X5)),double_divide(X2,multiply(double_divide(X2,X),X))) = double_divide(inverse(X5),multiply(X4,X3)),
inference(substitution,[status(thm)],[c121]) ).
cnf(c505,plain,
double_divide(inverse(X5),multiply(X4,X3)) = double_divide(multiply(multiply(X4,X3),inverse(X5)),double_divide(X2,multiply(double_divide(X2,X),X))),
inference(symmetry,[status(thm)],[c504]) ).
cnf(c506,plain,
multiply(multiply(double_divide(X2,double_divide(multiply(X3,X4),X2)),multiply(double_divide(multiply(X3,X4),multiply(X5,double_divide(X4,X3))),X)),inverse(X)) = inverse(multiply(X5,double_divide(X4,X3))),
inference(substitution,[status(thm)],[c15]) ).
cnf(c507,plain,
inverse(multiply(X5,double_divide(X4,X3))) = multiply(multiply(double_divide(X2,double_divide(multiply(X3,X4),X2)),multiply(double_divide(multiply(X3,X4),multiply(X5,double_divide(X4,X3))),X)),inverse(X)),
inference(symmetry,[status(thm)],[c506]) ).
cnf(c508,plain,
multiply(X2,X) = inverse(double_divide(X,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c509,plain,
double_divide(multiply(X3,X2),multiply(X,double_divide(X2,X3))) = double_divide(inverse(double_divide(X2,X3)),multiply(X,double_divide(X2,X3))),
inference(congruence,[status(thm)],[c508]) ).
cnf(c510,plain,
double_divide(inverse(double_divide(X3,X4)),multiply(X2,double_divide(X3,X4))) = double_divide(X,double_divide(inverse(X2),X)),
inference(substitution,[status(thm)],[c488]) ).
cnf(c511,plain,
double_divide(multiply(X4,X3),multiply(X2,double_divide(X3,X4))) = double_divide(X,double_divide(inverse(X2),X)),
inference(transitivity,[status(thm)],[c509,c510]) ).
cnf(c512,plain,
double_divide(multiply(X2,X3),multiply(X4,double_divide(X3,X2))) = double_divide(X,double_divide(inverse(X4),X)),
inference(substitution,[status(thm)],[c511]) ).
cnf(c513,plain,
multiply(double_divide(multiply(X3,X4),multiply(X5,double_divide(X4,X3))),X2) = multiply(double_divide(X,double_divide(inverse(X5),X)),X2),
inference(congruence,[status(thm)],[c512]) ).
cnf(c514,plain,
multiply(double_divide(X3,double_divide(multiply(X4,X5),X3)),multiply(double_divide(multiply(X4,X5),multiply(X6,double_divide(X5,X4))),X2)) = multiply(double_divide(X3,double_divide(multiply(X4,X5),X3)),multiply(double_divide(X,double_divide(inverse(X6),X)),X2)),
inference(congruence,[status(thm)],[c513]) ).
cnf(c515,plain,
multiply(multiply(double_divide(X3,double_divide(multiply(X4,X5),X3)),multiply(double_divide(multiply(X4,X5),multiply(X6,double_divide(X5,X4))),X2)),inverse(X2)) = multiply(multiply(double_divide(X3,double_divide(multiply(X4,X5),X3)),multiply(double_divide(X,double_divide(inverse(X6),X)),X2)),inverse(X2)),
inference(congruence,[status(thm)],[c514]) ).
cnf(c516,plain,
multiply(multiply(double_divide(X3,double_divide(multiply(X4,X5),X3)),multiply(double_divide(X,double_divide(inverse(X6),X)),X2)),inverse(X2)) = multiply(multiply(X4,X5),inverse(X6)),
inference(substitution,[status(thm)],[c164]) ).
cnf(c517,plain,
multiply(multiply(double_divide(X2,double_divide(multiply(X3,X4),X2)),multiply(double_divide(multiply(X3,X4),multiply(X5,double_divide(X4,X3))),X)),inverse(X)) = multiply(multiply(X3,X4),inverse(X5)),
inference(transitivity,[status(thm)],[c515,c516]) ).
cnf(c518,plain,
inverse(multiply(X3,double_divide(X2,X))) = multiply(multiply(X,X2),inverse(X3)),
inference(transitivity,[status(thm)],[c507,c517]) ).
cnf(c519,plain,
inverse(multiply(X3,double_divide(X,X2))) = multiply(multiply(X2,X),inverse(X3)),
inference(substitution,[status(thm)],[c518]) ).
cnf(c520,plain,
multiply(multiply(X2,X),inverse(X3)) = inverse(multiply(X3,double_divide(X,X2))),
inference(symmetry,[status(thm)],[c519]) ).
cnf(c521,plain,
double_divide(multiply(multiply(X4,X3),inverse(X5)),double_divide(X2,multiply(double_divide(X2,X),X))) = double_divide(inverse(multiply(X5,double_divide(X3,X4))),double_divide(X2,multiply(double_divide(X2,X),X))),
inference(congruence,[status(thm)],[c520]) ).
cnf(c522,plain,
double_divide(inverse(multiply(X5,double_divide(X3,X4))),double_divide(X2,multiply(double_divide(X2,X),X))) = multiply(X5,double_divide(X3,X4)),
inference(substitution,[status(thm)],[c119]) ).
cnf(c523,plain,
double_divide(multiply(multiply(X4,X3),inverse(X5)),double_divide(X2,multiply(double_divide(X2,X),X))) = multiply(X5,double_divide(X3,X4)),
inference(transitivity,[status(thm)],[c521,c522]) ).
cnf(c524,plain,
double_divide(inverse(X3),multiply(X2,X)) = multiply(X3,double_divide(X,X2)),
inference(transitivity,[status(thm)],[c505,c523]) ).
cnf(c525,plain,
double_divide(inverse(X4),multiply(multiply(double_divide(X3,double_divide(X5,X3)),X2),inverse(multiply(double_divide(X4,double_divide(inverse(X),X2)),X)))) = multiply(X4,double_divide(inverse(multiply(double_divide(X4,double_divide(inverse(X),X2)),X)),multiply(double_divide(X3,double_divide(X5,X3)),X2))),
inference(substitution,[status(thm)],[c524]) ).
cnf(c526,plain,
multiply(double_divide(X,double_divide(X4,X)),multiply(double_divide(X4,double_divide(inverse(X3),X2)),X3)) = X2,
inference(substitution,[status(thm)],[c34]) ).
cnf(c527,plain,
X2 = multiply(double_divide(X,double_divide(X4,X)),multiply(double_divide(X4,double_divide(inverse(X3),X2)),X3)),
inference(symmetry,[status(thm)],[c526]) ).
cnf(c528,plain,
multiply(double_divide(X2,double_divide(X,X2)),X3) = multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,double_divide(X5,X)),multiply(double_divide(X5,double_divide(inverse(X4),X3)),X4))),
inference(congruence,[status(thm)],[c527]) ).
cnf(c529,plain,
double_divide(inverse(multiply(double_divide(X5,double_divide(inverse(X4),X3)),X4)),multiply(double_divide(X2,double_divide(X,X2)),X3)) = double_divide(inverse(multiply(double_divide(X5,double_divide(inverse(X4),X3)),X4)),multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,double_divide(X5,X)),multiply(double_divide(X5,double_divide(inverse(X4),X3)),X4)))),
inference(congruence,[status(thm)],[c528]) ).
cnf(c530,plain,
double_divide(inverse(multiply(double_divide(X5,double_divide(inverse(X4),X3)),X4)),multiply(double_divide(X2,double_divide(X,X2)),multiply(double_divide(X,double_divide(X5,X)),multiply(double_divide(X5,double_divide(inverse(X4),X3)),X4)))) = double_divide(X5,X),
inference(substitution,[status(thm)],[c12]) ).
cnf(c531,plain,
double_divide(inverse(multiply(double_divide(X5,double_divide(inverse(X4),X3)),X4)),multiply(double_divide(X2,double_divide(X,X2)),X3)) = double_divide(X5,X),
inference(transitivity,[status(thm)],[c529,c530]) ).
cnf(c532,plain,
double_divide(inverse(multiply(double_divide(X4,double_divide(inverse(X),X2)),X)),multiply(double_divide(X3,double_divide(X5,X3)),X2)) = double_divide(X4,X5),
inference(substitution,[status(thm)],[c531]) ).
cnf(c533,plain,
multiply(X4,double_divide(inverse(multiply(double_divide(X4,double_divide(inverse(X),X2)),X)),multiply(double_divide(X3,double_divide(X5,X3)),X2))) = multiply(X4,double_divide(X4,X5)),
inference(congruence,[status(thm)],[c532]) ).
cnf(c534,plain,
double_divide(inverse(X4),multiply(multiply(double_divide(X3,double_divide(X5,X3)),X2),inverse(multiply(double_divide(X4,double_divide(inverse(X),X2)),X)))) = multiply(X4,double_divide(X4,X5)),
inference(transitivity,[status(thm)],[c525,c533]) ).
cnf(c535,plain,
double_divide(inverse(X),multiply(X2,X)) = multiply(X,double_divide(X,X2)),
inference(transitivity,[status(thm)],[c503,c534]) ).
cnf(c536,plain,
double_divide(X3,double_divide(inverse(X2),X3)) = multiply(X,double_divide(X,X2)),
inference(transitivity,[status(thm)],[c491,c535]) ).
cnf(c537,plain,
double_divide(X,double_divide(inverse(X3),X)) = multiply(X2,double_divide(X2,X3)),
inference(substitution,[status(thm)],[c536]) ).
cnf(c538,plain,
double_divide(inverse(X),multiply(X3,X)) = multiply(X2,double_divide(X2,X3)),
inference(transitivity,[status(thm)],[c489,c537]) ).
cnf(c539,plain,
double_divide(multiply(multiply(X5,X),inverse(X)),double_divide(X3,multiply(double_divide(X3,X2),X2))) = multiply(X4,double_divide(X4,X5)),
inference(transitivity,[status(thm)],[c480,c538]) ).
cnf(c540,plain,
double_divide(inverse(multiply(double_divide(X5,X4),X4)),double_divide(X2,multiply(double_divide(X2,X),X))) = multiply(X3,double_divide(X3,X5)),
inference(transitivity,[status(thm)],[c479,c539]) ).
cnf(c541,plain,
multiply(double_divide(X3,X2),X2) = multiply(X,double_divide(X,X3)),
inference(transitivity,[status(thm)],[c472,c540]) ).
cnf(c542,plain,
multiply(multiply(double_divide(X4,X2),X2),multiply(multiply(X4,X3),inverse(X3))) = multiply(multiply(X,double_divide(X,X4)),multiply(multiply(X4,X3),inverse(X3))),
inference(congruence,[status(thm)],[c541]) ).
cnf(c543,plain,
multiply(double_divide(X2,X),X) = multiply(X3,double_divide(X3,X2)),
inference(substitution,[status(thm)],[c541]) ).
cnf(c544,plain,
multiply(X3,double_divide(X3,X2)) = multiply(double_divide(X2,X),X),
inference(symmetry,[status(thm)],[c543]) ).
cnf(c545,plain,
multiply(double_divide(X2,X),X) = inverse(double_divide(X,double_divide(X2,X))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c546,plain,
multiply(multiply(double_divide(X2,double_divide(double_divide(X4,X3),X2)),multiply(double_divide(double_divide(X4,X3),double_divide(X3,double_divide(X4,X3))),X)),inverse(X)) = inverse(double_divide(X3,double_divide(X4,X3))),
inference(substitution,[status(thm)],[c15]) ).
cnf(c547,plain,
inverse(double_divide(X3,double_divide(X4,X3))) = multiply(multiply(double_divide(X2,double_divide(double_divide(X4,X3),X2)),multiply(double_divide(double_divide(X4,X3),double_divide(X3,double_divide(X4,X3))),X)),inverse(X)),
inference(symmetry,[status(thm)],[c546]) ).
cnf(c548,plain,
double_divide(multiply(X3,double_divide(X3,X2)),double_divide(X2,multiply(double_divide(X2,X),X))) = double_divide(double_divide(X3,X2),X3),
inference(substitution,[status(thm)],[c121]) ).
cnf(c549,plain,
double_divide(double_divide(X3,X2),X3) = double_divide(multiply(X3,double_divide(X3,X2)),double_divide(X2,multiply(double_divide(X2,X),X))),
inference(symmetry,[status(thm)],[c548]) ).
cnf(c550,plain,
multiply(double_divide(X2,X),X) = multiply(X3,double_divide(X3,X2)),
inference(substitution,[status(thm)],[c541]) ).
cnf(c551,plain,
multiply(X3,double_divide(X3,X2)) = multiply(double_divide(X2,X),X),
inference(symmetry,[status(thm)],[c550]) ).
cnf(c552,plain,
double_divide(multiply(X3,double_divide(X3,X2)),double_divide(X2,multiply(double_divide(X2,X),X))) = double_divide(multiply(double_divide(X2,X),X),double_divide(X2,multiply(double_divide(X2,X),X))),
inference(congruence,[status(thm)],[c551]) ).
cnf(c553,plain,
double_divide(multiply(double_divide(X3,X),X),double_divide(X3,multiply(double_divide(X3,X),X))) = double_divide(X2,double_divide(X3,X2)),
inference(substitution,[status(thm)],[c90]) ).
cnf(c554,plain,
double_divide(multiply(X4,double_divide(X4,X3)),double_divide(X3,multiply(double_divide(X3,X),X))) = double_divide(X2,double_divide(X3,X2)),
inference(transitivity,[status(thm)],[c552,c553]) ).
cnf(c555,plain,
double_divide(double_divide(X3,X2),X3) = double_divide(X,double_divide(X2,X)),
inference(transitivity,[status(thm)],[c549,c554]) ).
cnf(c556,plain,
double_divide(double_divide(X2,X),X2) = double_divide(double_divide(X2,X),double_divide(X,double_divide(X2,X))),
inference(substitution,[status(thm)],[c555]) ).
cnf(c557,plain,
double_divide(double_divide(X2,X),double_divide(X,double_divide(X2,X))) = double_divide(double_divide(X2,X),X2),
inference(symmetry,[status(thm)],[c556]) ).
cnf(c558,plain,
multiply(double_divide(double_divide(X3,X2),double_divide(X2,double_divide(X3,X2))),X) = multiply(double_divide(double_divide(X3,X2),X3),X),
inference(congruence,[status(thm)],[c557]) ).
cnf(c559,plain,
multiply(double_divide(X2,double_divide(double_divide(X4,X3),X2)),multiply(double_divide(double_divide(X4,X3),double_divide(X3,double_divide(X4,X3))),X)) = multiply(double_divide(X2,double_divide(double_divide(X4,X3),X2)),multiply(double_divide(double_divide(X4,X3),X4),X)),
inference(congruence,[status(thm)],[c558]) ).
cnf(c560,plain,
multiply(multiply(double_divide(X2,double_divide(double_divide(X4,X3),X2)),multiply(double_divide(double_divide(X4,X3),double_divide(X3,double_divide(X4,X3))),X)),inverse(X)) = multiply(multiply(double_divide(X2,double_divide(double_divide(X4,X3),X2)),multiply(double_divide(double_divide(X4,X3),X4),X)),inverse(X)),
inference(congruence,[status(thm)],[c559]) ).
cnf(c561,plain,
multiply(multiply(double_divide(X2,double_divide(double_divide(X4,X3),X2)),multiply(double_divide(double_divide(X4,X3),X4),X)),inverse(X)) = inverse(X4),
inference(substitution,[status(thm)],[c15]) ).
cnf(c562,plain,
multiply(multiply(double_divide(X2,double_divide(double_divide(X4,X3),X2)),multiply(double_divide(double_divide(X4,X3),double_divide(X3,double_divide(X4,X3))),X)),inverse(X)) = inverse(X4),
inference(transitivity,[status(thm)],[c560,c561]) ).
cnf(c563,plain,
inverse(double_divide(X,double_divide(X2,X))) = inverse(X2),
inference(transitivity,[status(thm)],[c547,c562]) ).
cnf(c564,plain,
multiply(double_divide(X2,X),X) = inverse(X2),
inference(transitivity,[status(thm)],[c545,c563]) ).
cnf(c565,plain,
multiply(X2,double_divide(X2,X)) = inverse(X),
inference(transitivity,[status(thm)],[c544,c564]) ).
cnf(c566,plain,
multiply(X,double_divide(X,X2)) = inverse(X2),
inference(substitution,[status(thm)],[c565]) ).
cnf(c567,plain,
multiply(multiply(X,double_divide(X,X3)),multiply(multiply(X3,X2),inverse(X2))) = multiply(inverse(X3),multiply(multiply(X3,X2),inverse(X2))),
inference(congruence,[status(thm)],[c566]) ).
cnf(c568,plain,
multiply(inverse(X2),multiply(multiply(X2,X),inverse(X))) = multiply(inverse(X2),X2),
inference(congruence,[status(thm)],[c449]) ).
cnf(c569,plain,
multiply(multiply(X,double_divide(X,X3)),multiply(multiply(X3,X2),inverse(X2))) = multiply(inverse(X3),X3),
inference(transitivity,[status(thm)],[c567,c568]) ).
cnf(c570,plain,
multiply(multiply(double_divide(X3,X),X),multiply(multiply(X3,X2),inverse(X2))) = multiply(inverse(X3),X3),
inference(transitivity,[status(thm)],[c542,c569]) ).
cnf(c571,plain,
multiply(multiply(double_divide(multiply(multiply(X3,X2),inverse(X2)),X),X),multiply(multiply(X3,X2),inverse(X2))) = multiply(inverse(X3),X3),
inference(transitivity,[status(thm)],[c470,c570]) ).
cnf(c572,plain,
double_divide(inverse(X2),X2) = multiply(inverse(X),X),
inference(transitivity,[status(thm)],[c467,c571]) ).
cnf(c573,plain,
double_divide(inverse(X),X) = multiply(inverse(X2),X2),
inference(substitution,[status(thm)],[c572]) ).
cnf(c574,plain,
multiply(inverse(X2),X2) = double_divide(inverse(X),X),
inference(symmetry,[status(thm)],[c573]) ).
cnf(c575,plain,
double_divide(inverse(X),X) = multiply(X2,inverse(X2)),
inference(substitution,[status(thm)],[c451]) ).
cnf(c576,plain,
multiply(inverse(X2),X2) = multiply(X,inverse(X)),
inference(transitivity,[status(thm)],[c574,c575]) ).
cnf(c577,plain,
multiply(X,inverse(X)) = multiply(inverse(X2),X2),
inference(symmetry,[status(thm)],[c576]) ).
cnf(c578,plain,
double_divide(multiply(X3,inverse(X3)),double_divide(X2,multiply(double_divide(X2,X),X))) = double_divide(multiply(inverse(X4),X4),double_divide(X2,multiply(double_divide(X2,X),X))),
inference(congruence,[status(thm)],[c577]) ).
cnf(c579,plain,
double_divide(multiply(inverse(X3),X3),double_divide(X2,multiply(double_divide(X2,X),X))) = double_divide(X3,inverse(X3)),
inference(substitution,[status(thm)],[c121]) ).
cnf(c580,plain,
double_divide(multiply(X3,inverse(X3)),double_divide(X2,multiply(double_divide(X2,X),X))) = double_divide(X4,inverse(X4)),
inference(transitivity,[status(thm)],[c578,c579]) ).
cnf(c581,plain,
double_divide(multiply(X3,inverse(X3)),multiply(double_divide(double_divide(inverse(X),X),X2),X2)) = double_divide(X4,inverse(X4)),
inference(transitivity,[status(thm)],[c465,c580]) ).
cnf(c582,plain,
double_divide(multiply(X2,inverse(X2)),multiply(double_divide(multiply(X2,inverse(X2)),X),X)) = double_divide(X3,inverse(X3)),
inference(transitivity,[status(thm)],[c462,c581]) ).
cnf(c583,plain,
multiply(double_divide(double_divide(inverse(X),X),X3),X3) = double_divide(X2,inverse(X2)),
inference(transitivity,[status(thm)],[c457,c582]) ).
cnf(c584,plain,
multiply(double_divide(multiply(X3,inverse(X3)),X2),X2) = double_divide(X,inverse(X)),
inference(transitivity,[status(thm)],[c455,c583]) ).
cnf(c585,plain,
multiply(double_divide(multiply(X2,inverse(X2)),X),X) = double_divide(X3,inverse(X3)),
inference(substitution,[status(thm)],[c584]) ).
cnf(c586,plain,
double_divide(X3,inverse(X3)) = multiply(double_divide(multiply(X2,inverse(X2)),X),X),
inference(symmetry,[status(thm)],[c585]) ).
cnf(c587,plain,
double_divide(inverse(X),X) = multiply(X2,inverse(X2)),
inference(substitution,[status(thm)],[c451]) ).
cnf(c588,plain,
multiply(X2,inverse(X2)) = double_divide(inverse(X),X),
inference(symmetry,[status(thm)],[c587]) ).
cnf(c589,plain,
double_divide(multiply(X3,inverse(X3)),X2) = double_divide(double_divide(inverse(X),X),X2),
inference(congruence,[status(thm)],[c588]) ).
cnf(c590,plain,
multiply(double_divide(multiply(X3,inverse(X3)),X2),X2) = multiply(double_divide(double_divide(inverse(X),X),X2),X2),
inference(congruence,[status(thm)],[c589]) ).
cnf(c591,plain,
double_divide(X2,multiply(double_divide(X2,X),X)) = multiply(double_divide(double_divide(inverse(X3),X3),X4),X4),
inference(substitution,[status(thm)],[c405]) ).
cnf(c592,plain,
multiply(double_divide(double_divide(inverse(X3),X3),X4),X4) = double_divide(X2,multiply(double_divide(X2,X),X)),
inference(symmetry,[status(thm)],[c591]) ).
cnf(c593,plain,
multiply(X,double_divide(X,X2)) = inverse(X2),
inference(substitution,[status(thm)],[c565]) ).
cnf(c594,plain,
inverse(X2) = multiply(X,double_divide(X,X2)),
inference(symmetry,[status(thm)],[c593]) ).
cnf(c595,plain,
multiply(X3,inverse(X2)) = multiply(X3,multiply(X,double_divide(X,X2))),
inference(congruence,[status(thm)],[c594]) ).
cnf(c596,plain,
multiply(multiply(X3,inverse(X2)),X2) = multiply(multiply(X3,multiply(X,double_divide(X,X2))),X2),
inference(congruence,[status(thm)],[c595]) ).
cnf(c597,plain,
double_divide(X,double_divide(inverse(X3),X)) = multiply(X2,double_divide(X2,X3)),
inference(substitution,[status(thm)],[c536]) ).
cnf(c598,plain,
multiply(X2,double_divide(X2,X3)) = double_divide(X,double_divide(inverse(X3),X)),
inference(symmetry,[status(thm)],[c597]) ).
cnf(c599,plain,
multiply(X4,multiply(X2,double_divide(X2,X3))) = multiply(X4,double_divide(X,double_divide(inverse(X3),X))),
inference(congruence,[status(thm)],[c598]) ).
cnf(c600,plain,
multiply(multiply(X4,multiply(X2,double_divide(X2,X3))),X3) = multiply(multiply(X4,double_divide(X,double_divide(inverse(X3),X))),X3),
inference(congruence,[status(thm)],[c599]) ).
cnf(c601,plain,
double_divide(inverse(X),multiply(X3,X)) = double_divide(X2,double_divide(inverse(X3),X2)),
inference(substitution,[status(thm)],[c488]) ).
cnf(c602,plain,
double_divide(X2,double_divide(inverse(X3),X2)) = double_divide(inverse(X),multiply(X3,X)),
inference(symmetry,[status(thm)],[c601]) ).
cnf(c603,plain,
multiply(X4,double_divide(X2,double_divide(inverse(X3),X2))) = multiply(X4,double_divide(inverse(X),multiply(X3,X))),
inference(congruence,[status(thm)],[c602]) ).
cnf(c604,plain,
multiply(multiply(X4,double_divide(X2,double_divide(inverse(X3),X2))),X3) = multiply(multiply(X4,double_divide(inverse(X),multiply(X3,X))),X3),
inference(congruence,[status(thm)],[c603]) ).
cnf(c605,plain,
X2 = multiply(multiply(X2,X),inverse(X)),
inference(symmetry,[status(thm)],[c449]) ).
cnf(c606,plain,
multiply(multiply(X3,double_divide(inverse(X),multiply(X2,X))),X2) = multiply(multiply(X3,double_divide(inverse(X),multiply(X2,X))),multiply(multiply(X2,X),inverse(X))),
inference(congruence,[status(thm)],[c605]) ).
cnf(c607,plain,
multiply(X,X2) = inverse(double_divide(X2,X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c608,plain,
multiply(multiply(X3,double_divide(X2,X)),multiply(X,X2)) = multiply(multiply(X3,double_divide(X2,X)),inverse(double_divide(X2,X))),
inference(congruence,[status(thm)],[c607]) ).
cnf(c609,plain,
multiply(multiply(double_divide(X3,double_divide(multiply(X5,X4),X3)),multiply(double_divide(X,double_divide(inverse(X4),X)),X2)),inverse(X2)) = multiply(multiply(X5,X4),inverse(X4)),
inference(substitution,[status(thm)],[c164]) ).
cnf(c610,plain,
multiply(multiply(X5,X4),inverse(X4)) = multiply(multiply(double_divide(X3,double_divide(multiply(X5,X4),X3)),multiply(double_divide(X,double_divide(inverse(X4),X)),X2)),inverse(X2)),
inference(symmetry,[status(thm)],[c609]) ).
cnf(c611,plain,
double_divide(X,double_divide(inverse(X3),X)) = double_divide(multiply(X4,X3),double_divide(X2,double_divide(inverse(X4),X2))),
inference(symmetry,[status(thm)],[c152]) ).
cnf(c612,plain,
multiply(double_divide(X,double_divide(inverse(X4),X)),X2) = multiply(double_divide(multiply(X5,X4),double_divide(X3,double_divide(inverse(X5),X3))),X2),
inference(congruence,[status(thm)],[c611]) ).
cnf(c613,plain,
multiply(double_divide(X3,double_divide(multiply(X6,X5),X3)),multiply(double_divide(X,double_divide(inverse(X5),X)),X2)) = multiply(double_divide(X3,double_divide(multiply(X6,X5),X3)),multiply(double_divide(multiply(X6,X5),double_divide(X4,double_divide(inverse(X6),X4))),X2)),
inference(congruence,[status(thm)],[c612]) ).
cnf(c614,plain,
multiply(multiply(double_divide(X3,double_divide(multiply(X6,X5),X3)),multiply(double_divide(X,double_divide(inverse(X5),X)),X2)),inverse(X2)) = multiply(multiply(double_divide(X3,double_divide(multiply(X6,X5),X3)),multiply(double_divide(multiply(X6,X5),double_divide(X4,double_divide(inverse(X6),X4))),X2)),inverse(X2)),
inference(congruence,[status(thm)],[c613]) ).
cnf(c615,plain,
multiply(multiply(double_divide(X2,double_divide(multiply(X5,X4),X2)),multiply(double_divide(multiply(X5,X4),double_divide(X3,double_divide(inverse(X5),X3))),X)),inverse(X)) = inverse(double_divide(X3,double_divide(inverse(X5),X3))),
inference(substitution,[status(thm)],[c15]) ).
cnf(c616,plain,
multiply(multiply(double_divide(X3,double_divide(multiply(X5,X4),X3)),multiply(double_divide(multiply(X5,X4),double_divide(X,double_divide(inverse(X5),X))),X2)),inverse(X2)) = inverse(double_divide(X,double_divide(inverse(X5),X))),
inference(substitution,[status(thm)],[c15]) ).
cnf(c617,plain,
inverse(double_divide(X,double_divide(inverse(X5),X))) = multiply(multiply(double_divide(X3,double_divide(multiply(X5,X4),X3)),multiply(double_divide(multiply(X5,X4),double_divide(X,double_divide(inverse(X5),X))),X2)),inverse(X2)),
inference(symmetry,[status(thm)],[c616]) ).
cnf(c618,plain,
double_divide(multiply(X4,X3),double_divide(X,double_divide(inverse(X4),X))) = double_divide(X2,double_divide(inverse(X3),X2)),
inference(substitution,[status(thm)],[c152]) ).
cnf(c619,plain,
multiply(double_divide(multiply(X5,X4),double_divide(X,double_divide(inverse(X5),X))),X2) = multiply(double_divide(X3,double_divide(inverse(X4),X3)),X2),
inference(congruence,[status(thm)],[c618]) ).
cnf(c620,plain,
multiply(double_divide(X4,double_divide(multiply(X6,X5),X4)),multiply(double_divide(multiply(X6,X5),double_divide(X,double_divide(inverse(X6),X))),X2)) = multiply(double_divide(X4,double_divide(multiply(X6,X5),X4)),multiply(double_divide(X3,double_divide(inverse(X5),X3)),X2)),
inference(congruence,[status(thm)],[c619]) ).
cnf(c621,plain,
multiply(multiply(double_divide(X4,double_divide(multiply(X6,X5),X4)),multiply(double_divide(multiply(X6,X5),double_divide(X,double_divide(inverse(X6),X))),X2)),inverse(X2)) = multiply(multiply(double_divide(X4,double_divide(multiply(X6,X5),X4)),multiply(double_divide(X3,double_divide(inverse(X5),X3)),X2)),inverse(X2)),
inference(congruence,[status(thm)],[c620]) ).
cnf(c622,plain,
multiply(multiply(double_divide(X3,double_divide(multiply(X5,X4),X3)),multiply(double_divide(X2,double_divide(inverse(X4),X2)),X)),inverse(X)) = multiply(multiply(X5,X4),inverse(X4)),
inference(substitution,[status(thm)],[c164]) ).
cnf(c623,plain,
multiply(multiply(double_divide(X3,double_divide(multiply(X5,X4),X3)),multiply(double_divide(multiply(X5,X4),double_divide(X,double_divide(inverse(X5),X))),X2)),inverse(X2)) = multiply(multiply(X5,X4),inverse(X4)),
inference(transitivity,[status(thm)],[c621,c622]) ).
cnf(c624,plain,
inverse(double_divide(X,double_divide(inverse(X3),X))) = multiply(multiply(X3,X2),inverse(X2)),
inference(transitivity,[status(thm)],[c617,c623]) ).
cnf(c625,plain,
multiply(multiply(double_divide(X2,double_divide(multiply(X6,X4),X2)),multiply(double_divide(multiply(X6,X4),double_divide(X3,double_divide(inverse(X6),X3))),X)),inverse(X)) = multiply(multiply(X6,X5),inverse(X5)),
inference(transitivity,[status(thm)],[c615,c624]) ).
cnf(c626,plain,
multiply(multiply(double_divide(X3,double_divide(multiply(X6,X4),X3)),multiply(double_divide(X,double_divide(inverse(X4),X)),X2)),inverse(X2)) = multiply(multiply(X6,X5),inverse(X5)),
inference(transitivity,[status(thm)],[c614,c625]) ).
cnf(c627,plain,
multiply(multiply(X3,X),inverse(X)) = multiply(multiply(X3,X2),inverse(X2)),
inference(transitivity,[status(thm)],[c610,c626]) ).
cnf(c628,plain,
multiply(multiply(X4,X),inverse(X)) = multiply(multiply(X4,double_divide(X3,X2)),inverse(double_divide(X3,X2))),
inference(substitution,[status(thm)],[c627]) ).
cnf(c629,plain,
multiply(multiply(X4,double_divide(X3,X2)),inverse(double_divide(X3,X2))) = multiply(multiply(X4,X),inverse(X)),
inference(symmetry,[status(thm)],[c628]) ).
cnf(c630,plain,
multiply(multiply(X4,double_divide(X3,X2)),multiply(X2,X3)) = multiply(multiply(X4,X),inverse(X)),
inference(transitivity,[status(thm)],[c608,c629]) ).
cnf(c631,plain,
multiply(multiply(X4,double_divide(inverse(X2),multiply(X3,X2))),multiply(multiply(X3,X2),inverse(X2))) = multiply(multiply(X4,X),inverse(X)),
inference(substitution,[status(thm)],[c630]) ).
cnf(c632,plain,
multiply(multiply(X3,double_divide(inverse(X),multiply(X2,X))),multiply(multiply(X2,X),inverse(X))) = X3,
inference(transitivity,[status(thm)],[c631,c449]) ).
cnf(c633,plain,
multiply(multiply(X3,double_divide(inverse(X),multiply(X2,X))),X2) = X3,
inference(transitivity,[status(thm)],[c606,c632]) ).
cnf(c634,plain,
multiply(multiply(X3,double_divide(X,double_divide(inverse(X2),X))),X2) = X3,
inference(transitivity,[status(thm)],[c604,c633]) ).
cnf(c635,plain,
multiply(multiply(X3,multiply(X,double_divide(X,X2))),X2) = X3,
inference(transitivity,[status(thm)],[c600,c634]) ).
cnf(c636,plain,
multiply(multiply(X2,inverse(X)),X) = X2,
inference(transitivity,[status(thm)],[c596,c635]) ).
cnf(c637,plain,
multiply(multiply(X,inverse(X)),X) = X,
inference(substitution,[status(thm)],[c636]) ).
cnf(c638,plain,
X = multiply(multiply(X,inverse(X)),X),
inference(symmetry,[status(thm)],[c637]) ).
cnf(c639,plain,
double_divide(X2,multiply(double_divide(X2,X),X)) = double_divide(multiply(multiply(X2,inverse(X2)),X2),multiply(double_divide(X2,X),X)),
inference(congruence,[status(thm)],[c638]) ).
cnf(c640,plain,
multiply(multiply(double_divide(X2,X),X),multiply(X2,X4)) = inverse(multiply(double_divide(X4,X3),X3)),
inference(substitution,[status(thm)],[c260]) ).
cnf(c641,plain,
inverse(multiply(double_divide(X4,X3),X3)) = multiply(multiply(double_divide(X2,X),X),multiply(X2,X4)),
inference(symmetry,[status(thm)],[c640]) ).
cnf(c642,plain,
multiply(multiply(double_divide(X3,X2),X2),multiply(X3,X4)) = multiply(double_divide(inverse(X),X),X4),
inference(substitution,[status(thm)],[c412]) ).
cnf(c643,plain,
double_divide(inverse(X),X) = multiply(X2,inverse(X2)),
inference(substitution,[status(thm)],[c451]) ).
cnf(c644,plain,
multiply(double_divide(inverse(X),X),X3) = multiply(multiply(X2,inverse(X2)),X3),
inference(congruence,[status(thm)],[c643]) ).
cnf(c645,plain,
multiply(multiply(double_divide(X2,X),X),multiply(X2,X4)) = multiply(multiply(X3,inverse(X3)),X4),
inference(transitivity,[status(thm)],[c642,c644]) ).
cnf(c646,plain,
inverse(multiply(double_divide(X3,X2),X2)) = multiply(multiply(X,inverse(X)),X3),
inference(transitivity,[status(thm)],[c641,c645]) ).
cnf(c647,plain,
inverse(multiply(double_divide(X2,X),X)) = multiply(multiply(X2,inverse(X2)),X2),
inference(substitution,[status(thm)],[c646]) ).
cnf(c648,plain,
multiply(multiply(X2,inverse(X2)),X2) = inverse(multiply(double_divide(X2,X),X)),
inference(symmetry,[status(thm)],[c647]) ).
cnf(c649,plain,
double_divide(multiply(multiply(X2,inverse(X2)),X2),multiply(double_divide(X2,X),X)) = double_divide(inverse(multiply(double_divide(X2,X),X)),multiply(double_divide(X2,X),X)),
inference(congruence,[status(thm)],[c648]) ).
cnf(c650,plain,
double_divide(inverse(multiply(double_divide(X2,X),X)),multiply(double_divide(X2,X),X)) = multiply(X3,inverse(X3)),
inference(substitution,[status(thm)],[c451]) ).
cnf(c651,plain,
double_divide(multiply(multiply(X2,inverse(X2)),X2),multiply(double_divide(X2,X),X)) = multiply(X3,inverse(X3)),
inference(transitivity,[status(thm)],[c649,c650]) ).
cnf(c652,plain,
double_divide(X2,multiply(double_divide(X2,X),X)) = multiply(X3,inverse(X3)),
inference(transitivity,[status(thm)],[c639,c651]) ).
cnf(c653,plain,
multiply(double_divide(double_divide(inverse(X),X),X2),X2) = multiply(X3,inverse(X3)),
inference(transitivity,[status(thm)],[c592,c652]) ).
cnf(c654,plain,
multiply(double_divide(multiply(X2,inverse(X2)),X),X) = multiply(X3,inverse(X3)),
inference(transitivity,[status(thm)],[c590,c653]) ).
cnf(c655,plain,
double_divide(X2,inverse(X2)) = multiply(X,inverse(X)),
inference(transitivity,[status(thm)],[c586,c654]) ).
cnf(c656,plain,
multiply(double_divide(X2,inverse(X2)),X) = multiply(multiply(X,inverse(X)),X),
inference(congruence,[status(thm)],[c655]) ).
cnf(c657,plain,
multiply(double_divide(X2,double_divide(X3,X2)),multiply(double_divide(X3,inverse(X3)),X)) = multiply(double_divide(X2,double_divide(X3,X2)),multiply(multiply(X,inverse(X)),X)),
inference(congruence,[status(thm)],[c656]) ).
cnf(c658,plain,
multiply(multiply(double_divide(X2,double_divide(X3,X2)),multiply(double_divide(X3,inverse(X3)),X)),inverse(X)) = multiply(multiply(double_divide(X2,double_divide(X3,X2)),multiply(multiply(X,inverse(X)),X)),inverse(X)),
inference(congruence,[status(thm)],[c657]) ).
cnf(c659,plain,
double_divide(inverse(X2),multiply(double_divide(X,double_divide(double_divide(X3,X4),X)),multiply(double_divide(double_divide(X3,X4),double_divide(X4,double_divide(X3,X4))),X2))) = double_divide(X4,double_divide(X3,X4)),
inference(substitution,[status(thm)],[c12]) ).
cnf(c660,plain,
double_divide(X4,double_divide(X3,X4)) = double_divide(inverse(X2),multiply(double_divide(X,double_divide(double_divide(X3,X4),X)),multiply(double_divide(double_divide(X3,X4),double_divide(X4,double_divide(X3,X4))),X2))),
inference(symmetry,[status(thm)],[c659]) ).
cnf(c661,plain,
double_divide(double_divide(X,X2),X) = double_divide(double_divide(X,X2),double_divide(X2,double_divide(X,X2))),
inference(substitution,[status(thm)],[c555]) ).
cnf(c662,plain,
double_divide(double_divide(X,X2),double_divide(X2,double_divide(X,X2))) = double_divide(double_divide(X,X2),X),
inference(symmetry,[status(thm)],[c661]) ).
cnf(c663,plain,
multiply(double_divide(double_divide(X2,X3),double_divide(X3,double_divide(X2,X3))),X) = multiply(double_divide(double_divide(X2,X3),X2),X),
inference(congruence,[status(thm)],[c662]) ).
cnf(c664,plain,
multiply(double_divide(X,double_divide(double_divide(X3,X4),X)),multiply(double_divide(double_divide(X3,X4),double_divide(X4,double_divide(X3,X4))),X2)) = multiply(double_divide(X,double_divide(double_divide(X3,X4),X)),multiply(double_divide(double_divide(X3,X4),X3),X2)),
inference(congruence,[status(thm)],[c663]) ).
cnf(c665,plain,
double_divide(inverse(X2),multiply(double_divide(X,double_divide(double_divide(X3,X4),X)),multiply(double_divide(double_divide(X3,X4),double_divide(X4,double_divide(X3,X4))),X2))) = double_divide(inverse(X2),multiply(double_divide(X,double_divide(double_divide(X3,X4),X)),multiply(double_divide(double_divide(X3,X4),X3),X2))),
inference(congruence,[status(thm)],[c664]) ).
cnf(c666,plain,
double_divide(inverse(X2),multiply(double_divide(X,double_divide(double_divide(X3,X4),X)),multiply(double_divide(double_divide(X3,X4),X3),X2))) = X3,
inference(substitution,[status(thm)],[c12]) ).
cnf(c667,plain,
double_divide(inverse(X2),multiply(double_divide(X,double_divide(double_divide(X3,X4),X)),multiply(double_divide(double_divide(X3,X4),double_divide(X4,double_divide(X3,X4))),X2))) = X3,
inference(transitivity,[status(thm)],[c665,c666]) ).
cnf(c668,plain,
double_divide(X2,double_divide(X,X2)) = X,
inference(transitivity,[status(thm)],[c660,c667]) ).
cnf(c669,plain,
double_divide(X,double_divide(X2,X)) = X2,
inference(substitution,[status(thm)],[c668]) ).
cnf(c670,plain,
multiply(double_divide(X2,double_divide(X3,X2)),multiply(multiply(X,inverse(X)),X)) = multiply(X3,multiply(multiply(X,inverse(X)),X)),
inference(congruence,[status(thm)],[c669]) ).
cnf(c671,plain,
multiply(multiply(double_divide(X2,double_divide(X3,X2)),multiply(multiply(X,inverse(X)),X)),inverse(X)) = multiply(multiply(X3,multiply(multiply(X,inverse(X)),X)),inverse(X)),
inference(congruence,[status(thm)],[c670]) ).
cnf(c672,plain,
multiply(multiply(X,inverse(X)),X) = X,
inference(substitution,[status(thm)],[c636]) ).
cnf(c673,plain,
multiply(X2,multiply(multiply(X,inverse(X)),X)) = multiply(X2,X),
inference(congruence,[status(thm)],[c672]) ).
cnf(c674,plain,
multiply(multiply(X2,multiply(multiply(X,inverse(X)),X)),inverse(X)) = multiply(multiply(X2,X),inverse(X)),
inference(congruence,[status(thm)],[c673]) ).
cnf(c675,plain,
multiply(multiply(X2,multiply(multiply(X,inverse(X)),X)),inverse(X)) = X2,
inference(transitivity,[status(thm)],[c674,c449]) ).
cnf(c676,plain,
multiply(multiply(double_divide(X2,double_divide(X3,X2)),multiply(multiply(X,inverse(X)),X)),inverse(X)) = X3,
inference(transitivity,[status(thm)],[c671,c675]) ).
cnf(c677,plain,
multiply(multiply(double_divide(X2,double_divide(X3,X2)),multiply(double_divide(X3,inverse(X3)),X)),inverse(X)) = X3,
inference(transitivity,[status(thm)],[c658,c676]) ).
cnf(c678,plain,
inverse(inverse(X)) = X,
inference(transitivity,[status(thm)],[c17,c677]) ).
cnf(c679,plain,
X = inverse(inverse(X)),
inference(symmetry,[status(thm)],[c678]) ).
cnf(c680,plain,
multiply(multiply(X3,X2),X) = multiply(multiply(X3,X2),inverse(inverse(X))),
inference(congruence,[status(thm)],[c679]) ).
cnf(c681,plain,
multiply(multiply(double_divide(X2,double_divide(X5,X2)),multiply(double_divide(X,double_divide(X4,X)),X3)),inverse(X3)) = multiply(X5,X4),
inference(substitution,[status(thm)],[c164]) ).
cnf(c682,plain,
multiply(X5,X4) = multiply(multiply(double_divide(X2,double_divide(X5,X2)),multiply(double_divide(X,double_divide(X4,X)),X3)),inverse(X3)),
inference(symmetry,[status(thm)],[c681]) ).
cnf(c683,plain,
multiply(multiply(X5,X4),inverse(inverse(X3))) = multiply(multiply(multiply(double_divide(X2,double_divide(X5,X2)),multiply(double_divide(X,double_divide(X4,X)),X3)),inverse(X3)),inverse(inverse(X3))),
inference(congruence,[status(thm)],[c682]) ).
cnf(c684,plain,
multiply(multiply(multiply(double_divide(X2,double_divide(X5,X2)),multiply(double_divide(X,double_divide(X4,X)),X3)),inverse(X3)),inverse(inverse(X3))) = multiply(double_divide(X2,double_divide(X5,X2)),multiply(double_divide(X,double_divide(X4,X)),X3)),
inference(substitution,[status(thm)],[c449]) ).
cnf(c685,plain,
double_divide(X,double_divide(X2,X)) = X2,
inference(substitution,[status(thm)],[c668]) ).
cnf(c686,plain,
multiply(double_divide(X2,double_divide(X5,X2)),multiply(double_divide(X,double_divide(X4,X)),X3)) = multiply(X5,multiply(double_divide(X,double_divide(X4,X)),X3)),
inference(congruence,[status(thm)],[c685]) ).
cnf(c687,plain,
double_divide(X,double_divide(X2,X)) = X2,
inference(substitution,[status(thm)],[c668]) ).
cnf(c688,plain,
multiply(double_divide(X,double_divide(X3,X)),X2) = multiply(X3,X2),
inference(congruence,[status(thm)],[c687]) ).
cnf(c689,plain,
multiply(X4,multiply(double_divide(X,double_divide(X3,X)),X2)) = multiply(X4,multiply(X3,X2)),
inference(congruence,[status(thm)],[c688]) ).
cnf(c690,plain,
multiply(double_divide(X2,double_divide(X5,X2)),multiply(double_divide(X,double_divide(X4,X)),X3)) = multiply(X5,multiply(X4,X3)),
inference(transitivity,[status(thm)],[c686,c689]) ).
cnf(c691,plain,
multiply(multiply(multiply(double_divide(X2,double_divide(X5,X2)),multiply(double_divide(X,double_divide(X4,X)),X3)),inverse(X3)),inverse(inverse(X3))) = multiply(X5,multiply(X4,X3)),
inference(transitivity,[status(thm)],[c684,c690]) ).
cnf(c692,plain,
multiply(multiply(X3,X2),inverse(inverse(X))) = multiply(X3,multiply(X2,X)),
inference(transitivity,[status(thm)],[c683,c691]) ).
cnf(c693,plain,
multiply(multiply(X3,X2),X) = multiply(X3,multiply(X2,X)),
inference(transitivity,[status(thm)],[c680,c692]) ).
cnf(c694,plain,
multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
inference(substitution,[status(thm)],[c693]) ).
cnf(c695,plain,
$false,
inference(resolution,[status(thm)],[c1,c694]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP501-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.54 % Computer : n014.cluster.edu
% 0.08/0.54 % Model : x86_64 x86_64
% 0.08/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.54 % Memory : 8046.5625MB
% 0.08/0.54 % OS : Linux 6.8.0-71-generic
% 0.08/0.54 % CPULimit : 300
% 0.08/0.54 % WCLimit : 300
% 0.08/0.54 % DateTime : Sun Sep 27 10:06:02 UTC 2026
% 0.08/0.54 % CPUTime :
% 0.08/0.54 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.94 Command-line arguments: --no-flatten-goal
% 0.12/0.94
% 0.12/0.94 % SZS status Unsatisfiable
% 0.12/0.94
% 3.46/1.10 % SZS output start CNFRefutation
% See solution above
% 8.09/1.74
% 8.09/1.74 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------