%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP475-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 10:10:45 AM UTC 2026
% Result : Unsatisfiable 1.89s 0.68s
% Output : CNFRefutation 3.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 100
% Number of leaves : 3
% Syntax : Number of clauses : 452 ( 452 unt; 0 nHn; 3 RR)
% Number of literals : 452 ( 451 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 2295 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(c2,axiom,
multiply(A,B) = divide(A,inverse(B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(c3,plain,
multiply(inverse(X),X) = divide(inverse(X),inverse(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
multiply(X2,X) = divide(X2,inverse(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c5,plain,
inverse(multiply(X2,X)) = inverse(divide(X2,inverse(X))),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,axiom,
divide(inverse(divide(divide(divide(A2,B2),C),divide(D,C))),divide(B2,A2)) = D,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c7,plain,
divide(inverse(divide(divide(divide(X3,X4),X2),divide(X,X2))),divide(X4,X3)) = X,
inference(substitution,[status(thm)],[c6]) ).
cnf(c8,plain,
X4 = divide(inverse(divide(divide(divide(X2,X3),X),divide(X4,X))),divide(X3,X2)),
inference(symmetry,[status(thm)],[c7]) ).
cnf(c9,plain,
divide(X4,X4) = divide(X4,divide(inverse(divide(divide(divide(X2,X3),X),divide(X4,X))),divide(X3,X2))),
inference(congruence,[status(thm)],[c8]) ).
cnf(c10,plain,
inverse(divide(X4,X4)) = inverse(divide(X4,divide(inverse(divide(divide(divide(X2,X3),X),divide(X4,X))),divide(X3,X2)))),
inference(congruence,[status(thm)],[c9]) ).
cnf(c11,plain,
divide(inverse(divide(divide(divide(X3,X4),X),divide(X2,X))),divide(X4,X3)) = X2,
inference(substitution,[status(thm)],[c6]) ).
cnf(c12,plain,
X2 = divide(inverse(divide(divide(divide(X3,X4),X),divide(X2,X))),divide(X4,X3)),
inference(symmetry,[status(thm)],[c11]) ).
cnf(c13,plain,
divide(divide(divide(X6,X5),divide(X4,X3)),X2) = divide(divide(divide(X6,X5),divide(X4,X3)),divide(inverse(divide(divide(divide(X3,X4),X),divide(X2,X))),divide(X4,X3))),
inference(congruence,[status(thm)],[c12]) ).
cnf(c14,plain,
inverse(divide(divide(divide(X6,X5),divide(X4,X3)),X2)) = inverse(divide(divide(divide(X6,X5),divide(X4,X3)),divide(inverse(divide(divide(divide(X3,X4),X),divide(X2,X))),divide(X4,X3)))),
inference(congruence,[status(thm)],[c13]) ).
cnf(c15,plain,
divide(inverse(divide(divide(divide(X6,X5),divide(X4,X3)),X2)),divide(X5,X6)) = divide(inverse(divide(divide(divide(X6,X5),divide(X4,X3)),divide(inverse(divide(divide(divide(X3,X4),X),divide(X2,X))),divide(X4,X3)))),divide(X5,X6)),
inference(congruence,[status(thm)],[c14]) ).
cnf(c16,plain,
divide(inverse(divide(divide(divide(X6,X5),divide(X4,X3)),divide(inverse(divide(divide(divide(X3,X4),X),divide(X2,X))),divide(X4,X3)))),divide(X5,X6)) = inverse(divide(divide(divide(X3,X4),X),divide(X2,X))),
inference(substitution,[status(thm)],[c6]) ).
cnf(c17,plain,
divide(inverse(divide(divide(divide(X6,X5),divide(X4,X3)),X2)),divide(X5,X6)) = inverse(divide(divide(divide(X3,X4),X),divide(X2,X))),
inference(transitivity,[status(thm)],[c15,c16]) ).
cnf(c18,plain,
divide(inverse(divide(divide(divide(X6,X5),divide(X3,X2)),X4)),divide(X5,X6)) = inverse(divide(divide(divide(X2,X3),X),divide(X4,X))),
inference(substitution,[status(thm)],[c17]) ).
cnf(c19,plain,
inverse(divide(divide(divide(X2,X3),X),divide(X6,X))) = divide(inverse(divide(divide(divide(X5,X4),divide(X3,X2)),X6)),divide(X4,X5)),
inference(symmetry,[status(thm)],[c18]) ).
cnf(c20,plain,
divide(inverse(divide(divide(divide(X2,X3),X),divide(X6,X))),divide(X3,X2)) = divide(divide(inverse(divide(divide(divide(X5,X4),divide(X3,X2)),X6)),divide(X4,X5)),divide(X3,X2)),
inference(congruence,[status(thm)],[c19]) ).
cnf(c21,plain,
divide(X6,divide(inverse(divide(divide(divide(X2,X3),X),divide(X6,X))),divide(X3,X2))) = divide(X6,divide(divide(inverse(divide(divide(divide(X5,X4),divide(X3,X2)),X6)),divide(X4,X5)),divide(X3,X2))),
inference(congruence,[status(thm)],[c20]) ).
cnf(c22,plain,
inverse(divide(X6,divide(inverse(divide(divide(divide(X2,X3),X),divide(X6,X))),divide(X3,X2)))) = inverse(divide(X6,divide(divide(inverse(divide(divide(divide(X5,X4),divide(X3,X2)),X6)),divide(X4,X5)),divide(X3,X2)))),
inference(congruence,[status(thm)],[c21]) ).
cnf(c23,plain,
divide(inverse(divide(divide(divide(X2,X),X4),divide(X3,X4))),divide(X,X2)) = X3,
inference(substitution,[status(thm)],[c6]) ).
cnf(c24,plain,
X4 = divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3)),
inference(symmetry,[status(thm)],[c23]) ).
cnf(c25,plain,
divide(X5,X4) = divide(divide(inverse(divide(divide(divide(X3,X2),X),divide(X5,X))),divide(X2,X3)),X4),
inference(congruence,[status(thm)],[c24]) ).
cnf(c26,plain,
divide(divide(X6,X4),divide(X5,X4)) = divide(divide(divide(inverse(divide(divide(divide(X3,X2),X),divide(X6,X))),divide(X2,X3)),X4),divide(X5,X4)),
inference(congruence,[status(thm)],[c25]) ).
cnf(c27,plain,
inverse(divide(divide(X6,X4),divide(X5,X4))) = inverse(divide(divide(divide(inverse(divide(divide(divide(X3,X2),X),divide(X6,X))),divide(X2,X3)),X4),divide(X5,X4))),
inference(congruence,[status(thm)],[c26]) ).
cnf(c28,plain,
divide(inverse(divide(divide(divide(X2,X),divide(X5,X6)),divide(inverse(divide(divide(divide(X6,X5),X3),divide(X4,X3))),divide(X5,X6)))),divide(X,X2)) = inverse(divide(divide(divide(X6,X5),X3),divide(X4,X3))),
inference(substitution,[status(thm)],[c6]) ).
cnf(c29,plain,
inverse(divide(divide(divide(X6,X5),X3),divide(X4,X3))) = divide(inverse(divide(divide(divide(X2,X),divide(X5,X6)),divide(inverse(divide(divide(divide(X6,X5),X3),divide(X4,X3))),divide(X5,X6)))),divide(X,X2)),
inference(symmetry,[status(thm)],[c28]) ).
cnf(c30,plain,
divide(inverse(divide(divide(divide(X4,X3),X),divide(X2,X))),divide(X3,X4)) = X2,
inference(substitution,[status(thm)],[c6]) ).
cnf(c31,plain,
divide(divide(divide(X2,X),divide(X5,X6)),divide(inverse(divide(divide(divide(X6,X5),X3),divide(X4,X3))),divide(X5,X6))) = divide(divide(divide(X2,X),divide(X5,X6)),X4),
inference(congruence,[status(thm)],[c30]) ).
cnf(c32,plain,
inverse(divide(divide(divide(X2,X),divide(X5,X6)),divide(inverse(divide(divide(divide(X6,X5),X3),divide(X4,X3))),divide(X5,X6)))) = inverse(divide(divide(divide(X2,X),divide(X5,X6)),X4)),
inference(congruence,[status(thm)],[c31]) ).
cnf(c33,plain,
divide(inverse(divide(divide(divide(X2,X),divide(X5,X6)),divide(inverse(divide(divide(divide(X6,X5),X3),divide(X4,X3))),divide(X5,X6)))),divide(X,X2)) = divide(inverse(divide(divide(divide(X2,X),divide(X5,X6)),X4)),divide(X,X2)),
inference(congruence,[status(thm)],[c32]) ).
cnf(c34,plain,
divide(inverse(divide(divide(divide(X4,X3),X2),divide(X,X2))),divide(X3,X4)) = X,
inference(substitution,[status(thm)],[c6]) ).
cnf(c35,plain,
X = divide(inverse(divide(divide(divide(X4,X3),X2),divide(X,X2))),divide(X3,X4)),
inference(symmetry,[status(thm)],[c34]) ).
cnf(c36,plain,
divide(divide(divide(X2,X),divide(X5,X6)),X3) = divide(divide(divide(X2,X),divide(X5,X6)),divide(inverse(divide(divide(divide(X6,X5),X4),divide(X3,X4))),divide(X5,X6))),
inference(congruence,[status(thm)],[c35]) ).
cnf(c37,plain,
inverse(divide(divide(divide(X2,X),divide(X5,X6)),X3)) = inverse(divide(divide(divide(X2,X),divide(X5,X6)),divide(inverse(divide(divide(divide(X6,X5),X4),divide(X3,X4))),divide(X5,X6)))),
inference(congruence,[status(thm)],[c36]) ).
cnf(c38,plain,
divide(inverse(divide(divide(divide(X2,X),divide(X5,X6)),X3)),divide(X,X2)) = divide(inverse(divide(divide(divide(X2,X),divide(X5,X6)),divide(inverse(divide(divide(divide(X6,X5),X4),divide(X3,X4))),divide(X5,X6)))),divide(X,X2)),
inference(congruence,[status(thm)],[c37]) ).
cnf(c39,plain,
divide(inverse(divide(divide(divide(X2,X),divide(X5,X6)),divide(inverse(divide(divide(divide(X6,X5),X4),divide(X3,X4))),divide(X5,X6)))),divide(X,X2)) = inverse(divide(divide(divide(X6,X5),X4),divide(X3,X4))),
inference(substitution,[status(thm)],[c6]) ).
cnf(c40,plain,
divide(inverse(divide(divide(divide(X2,X),divide(X5,X6)),X3)),divide(X,X2)) = inverse(divide(divide(divide(X6,X5),X4),divide(X3,X4))),
inference(transitivity,[status(thm)],[c38,c39]) ).
cnf(c41,plain,
divide(inverse(divide(divide(divide(X2,X),divide(X6,X7)),divide(inverse(divide(divide(divide(X7,X6),X3),divide(X4,X3))),divide(X6,X7)))),divide(X,X2)) = inverse(divide(divide(divide(X7,X6),X5),divide(X4,X5))),
inference(transitivity,[status(thm)],[c33,c40]) ).
cnf(c42,plain,
inverse(divide(divide(divide(X5,X4),X),divide(X2,X))) = inverse(divide(divide(divide(X5,X4),X3),divide(X2,X3))),
inference(transitivity,[status(thm)],[c29,c41]) ).
cnf(c43,plain,
inverse(divide(divide(divide(inverse(divide(divide(divide(X3,X2),X),divide(X7,X))),divide(X2,X3)),X4),divide(X5,X4))) = inverse(divide(divide(divide(inverse(divide(divide(divide(X3,X2),X),divide(X7,X))),divide(X2,X3)),X6),divide(X5,X6))),
inference(substitution,[status(thm)],[c42]) ).
cnf(c44,plain,
divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3)) = X4,
inference(substitution,[status(thm)],[c6]) ).
cnf(c45,plain,
divide(divide(inverse(divide(divide(divide(X3,X2),X),divide(X5,X))),divide(X2,X3)),X4) = divide(X5,X4),
inference(congruence,[status(thm)],[c44]) ).
cnf(c46,plain,
divide(divide(divide(inverse(divide(divide(divide(X3,X2),X),divide(X6,X))),divide(X2,X3)),X5),divide(X4,X5)) = divide(divide(X6,X5),divide(X4,X5)),
inference(congruence,[status(thm)],[c45]) ).
cnf(c47,plain,
inverse(divide(divide(divide(inverse(divide(divide(divide(X3,X2),X),divide(X6,X))),divide(X2,X3)),X5),divide(X4,X5))) = inverse(divide(divide(X6,X5),divide(X4,X5))),
inference(congruence,[status(thm)],[c46]) ).
cnf(c48,plain,
inverse(divide(divide(divide(inverse(divide(divide(divide(X3,X2),X),divide(X7,X))),divide(X2,X3)),X4),divide(X5,X4))) = inverse(divide(divide(X7,X6),divide(X5,X6))),
inference(transitivity,[status(thm)],[c43,c47]) ).
cnf(c49,plain,
inverse(divide(divide(X4,X),divide(X2,X))) = inverse(divide(divide(X4,X3),divide(X2,X3))),
inference(transitivity,[status(thm)],[c27,c48]) ).
cnf(c50,plain,
inverse(divide(divide(X4,X3),divide(X2,X3))) = inverse(divide(divide(X4,inverse(X)),divide(X2,inverse(X)))),
inference(substitution,[status(thm)],[c49]) ).
cnf(c51,plain,
multiply(X2,X) = divide(X2,inverse(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c52,plain,
divide(X2,inverse(X)) = multiply(X2,X),
inference(symmetry,[status(thm)],[c51]) ).
cnf(c53,plain,
divide(divide(X3,inverse(X)),divide(X2,inverse(X))) = divide(multiply(X3,X),divide(X2,inverse(X))),
inference(congruence,[status(thm)],[c52]) ).
cnf(c54,plain,
inverse(divide(divide(X3,inverse(X)),divide(X2,inverse(X)))) = inverse(divide(multiply(X3,X),divide(X2,inverse(X)))),
inference(congruence,[status(thm)],[c53]) ).
cnf(c55,plain,
multiply(X2,X) = divide(X2,inverse(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c56,plain,
divide(X2,inverse(X)) = multiply(X2,X),
inference(symmetry,[status(thm)],[c55]) ).
cnf(c57,plain,
divide(multiply(X3,X),divide(X2,inverse(X))) = divide(multiply(X3,X),multiply(X2,X)),
inference(congruence,[status(thm)],[c56]) ).
cnf(c58,plain,
inverse(divide(multiply(X3,X),divide(X2,inverse(X)))) = inverse(divide(multiply(X3,X),multiply(X2,X))),
inference(congruence,[status(thm)],[c57]) ).
cnf(c59,plain,
inverse(divide(divide(X3,inverse(X)),divide(X2,inverse(X)))) = inverse(divide(multiply(X3,X),multiply(X2,X))),
inference(transitivity,[status(thm)],[c54,c58]) ).
cnf(c60,plain,
inverse(divide(divide(X4,X3),divide(X2,X3))) = inverse(divide(multiply(X4,X),multiply(X2,X))),
inference(transitivity,[status(thm)],[c50,c59]) ).
cnf(c61,plain,
inverse(divide(divide(inverse(divide(multiply(divide(X6,X5),X4),multiply(X3,X4))),divide(X5,X6)),divide(X,divide(X5,X6)))) = inverse(divide(multiply(inverse(divide(multiply(divide(X6,X5),X4),multiply(X3,X4))),X2),multiply(X,X2))),
inference(substitution,[status(thm)],[c60]) ).
cnf(c62,plain,
inverse(divide(multiply(inverse(divide(multiply(divide(X6,X5),X4),multiply(X3,X4))),X2),multiply(X,X2))) = inverse(divide(divide(inverse(divide(multiply(divide(X6,X5),X4),multiply(X3,X4))),divide(X5,X6)),divide(X,divide(X5,X6)))),
inference(symmetry,[status(thm)],[c61]) ).
cnf(c63,plain,
multiply(X,X2) = divide(X,inverse(X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c64,plain,
divide(multiply(divide(X4,X3),X2),multiply(X,X2)) = divide(multiply(divide(X4,X3),X2),divide(X,inverse(X2))),
inference(congruence,[status(thm)],[c63]) ).
cnf(c65,plain,
inverse(divide(multiply(divide(X4,X3),X2),multiply(X,X2))) = inverse(divide(multiply(divide(X4,X3),X2),divide(X,inverse(X2)))),
inference(congruence,[status(thm)],[c64]) ).
cnf(c66,plain,
divide(inverse(divide(multiply(divide(X4,X3),X2),multiply(X,X2))),divide(X3,X4)) = divide(inverse(divide(multiply(divide(X4,X3),X2),divide(X,inverse(X2)))),divide(X3,X4)),
inference(congruence,[status(thm)],[c65]) ).
cnf(c67,plain,
multiply(divide(X3,X2),X) = divide(divide(X3,X2),inverse(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c68,plain,
divide(multiply(divide(X4,X3),X2),divide(X,inverse(X2))) = divide(divide(divide(X4,X3),inverse(X2)),divide(X,inverse(X2))),
inference(congruence,[status(thm)],[c67]) ).
cnf(c69,plain,
inverse(divide(multiply(divide(X4,X3),X2),divide(X,inverse(X2)))) = inverse(divide(divide(divide(X4,X3),inverse(X2)),divide(X,inverse(X2)))),
inference(congruence,[status(thm)],[c68]) ).
cnf(c70,plain,
divide(inverse(divide(multiply(divide(X4,X3),X2),divide(X,inverse(X2)))),divide(X3,X4)) = divide(inverse(divide(divide(divide(X4,X3),inverse(X2)),divide(X,inverse(X2)))),divide(X3,X4)),
inference(congruence,[status(thm)],[c69]) ).
cnf(c71,plain,
divide(inverse(divide(divide(divide(X4,X3),inverse(X2)),divide(X,inverse(X2)))),divide(X3,X4)) = X,
inference(substitution,[status(thm)],[c6]) ).
cnf(c72,plain,
divide(inverse(divide(multiply(divide(X4,X3),X2),divide(X,inverse(X2)))),divide(X3,X4)) = X,
inference(transitivity,[status(thm)],[c70,c71]) ).
cnf(c73,plain,
divide(inverse(divide(multiply(divide(X4,X3),X2),multiply(X,X2))),divide(X3,X4)) = X,
inference(transitivity,[status(thm)],[c66,c72]) ).
cnf(c74,plain,
divide(divide(inverse(divide(multiply(divide(X5,X4),X3),multiply(X2,X3))),divide(X4,X5)),divide(X,divide(X4,X5))) = divide(X2,divide(X,divide(X4,X5))),
inference(congruence,[status(thm)],[c73]) ).
cnf(c75,plain,
inverse(divide(divide(inverse(divide(multiply(divide(X5,X4),X3),multiply(X2,X3))),divide(X4,X5)),divide(X,divide(X4,X5)))) = inverse(divide(X2,divide(X,divide(X4,X5)))),
inference(congruence,[status(thm)],[c74]) ).
cnf(c76,plain,
inverse(divide(multiply(inverse(divide(multiply(divide(X6,X5),X4),multiply(X3,X4))),X2),multiply(X,X2))) = inverse(divide(X3,divide(X,divide(X5,X6)))),
inference(transitivity,[status(thm)],[c62,c75]) ).
cnf(c77,plain,
inverse(divide(multiply(inverse(divide(multiply(divide(X,X2),X6),multiply(X5,X6))),X7),multiply(divide(inverse(divide(divide(divide(X4,X3),divide(X2,X)),X5)),divide(X3,X4)),X7))) = inverse(divide(X5,divide(divide(inverse(divide(divide(divide(X4,X3),divide(X2,X)),X5)),divide(X3,X4)),divide(X2,X)))),
inference(substitution,[status(thm)],[c76]) ).
cnf(c78,plain,
inverse(divide(X7,divide(divide(inverse(divide(divide(divide(X6,X5),divide(X4,X3)),X7)),divide(X5,X6)),divide(X4,X3)))) = inverse(divide(multiply(inverse(divide(multiply(divide(X3,X4),X),multiply(X7,X))),X2),multiply(divide(inverse(divide(divide(divide(X6,X5),divide(X4,X3)),X7)),divide(X5,X6)),X2))),
inference(symmetry,[status(thm)],[c77]) ).
cnf(c79,plain,
inverse(divide(divide(divide(X2,X3),X5),divide(X4,X5))) = inverse(divide(multiply(divide(X2,X3),X),multiply(X4,X))),
inference(substitution,[status(thm)],[c60]) ).
cnf(c80,plain,
inverse(divide(multiply(divide(X3,X4),X),multiply(X5,X))) = inverse(divide(divide(divide(X3,X4),X2),divide(X5,X2))),
inference(symmetry,[status(thm)],[c79]) ).
cnf(c81,plain,
multiply(inverse(divide(multiply(divide(X4,X5),X),multiply(X6,X))),X3) = multiply(inverse(divide(divide(divide(X4,X5),X2),divide(X6,X2))),X3),
inference(congruence,[status(thm)],[c80]) ).
cnf(c82,plain,
divide(multiply(inverse(divide(multiply(divide(X4,X5),X),multiply(X8,X))),X3),multiply(divide(inverse(divide(divide(divide(X7,X6),divide(X5,X4)),X8)),divide(X6,X7)),X3)) = divide(multiply(inverse(divide(divide(divide(X4,X5),X2),divide(X8,X2))),X3),multiply(divide(inverse(divide(divide(divide(X7,X6),divide(X5,X4)),X8)),divide(X6,X7)),X3)),
inference(congruence,[status(thm)],[c81]) ).
cnf(c83,plain,
inverse(divide(multiply(inverse(divide(multiply(divide(X4,X5),X),multiply(X8,X))),X3),multiply(divide(inverse(divide(divide(divide(X7,X6),divide(X5,X4)),X8)),divide(X6,X7)),X3))) = inverse(divide(multiply(inverse(divide(divide(divide(X4,X5),X2),divide(X8,X2))),X3),multiply(divide(inverse(divide(divide(divide(X7,X6),divide(X5,X4)),X8)),divide(X6,X7)),X3))),
inference(congruence,[status(thm)],[c82]) ).
cnf(c84,plain,
divide(inverse(divide(divide(divide(X5,X4),divide(X3,X2)),X6)),divide(X4,X5)) = inverse(divide(divide(divide(X2,X3),X),divide(X6,X))),
inference(substitution,[status(thm)],[c17]) ).
cnf(c85,plain,
inverse(divide(divide(divide(X2,X3),X),divide(X6,X))) = divide(inverse(divide(divide(divide(X5,X4),divide(X3,X2)),X6)),divide(X4,X5)),
inference(symmetry,[status(thm)],[c84]) ).
cnf(c86,plain,
multiply(inverse(divide(divide(divide(X3,X4),X),divide(X7,X))),X2) = multiply(divide(inverse(divide(divide(divide(X6,X5),divide(X4,X3)),X7)),divide(X5,X6)),X2),
inference(congruence,[status(thm)],[c85]) ).
cnf(c87,plain,
divide(multiply(inverse(divide(divide(divide(X3,X4),X),divide(X7,X))),X2),multiply(divide(inverse(divide(divide(divide(X6,X5),divide(X4,X3)),X7)),divide(X5,X6)),X2)) = divide(multiply(divide(inverse(divide(divide(divide(X6,X5),divide(X4,X3)),X7)),divide(X5,X6)),X2),multiply(divide(inverse(divide(divide(divide(X6,X5),divide(X4,X3)),X7)),divide(X5,X6)),X2)),
inference(congruence,[status(thm)],[c86]) ).
cnf(c88,plain,
inverse(divide(multiply(inverse(divide(divide(divide(X3,X4),X),divide(X7,X))),X2),multiply(divide(inverse(divide(divide(divide(X6,X5),divide(X4,X3)),X7)),divide(X5,X6)),X2))) = inverse(divide(multiply(divide(inverse(divide(divide(divide(X6,X5),divide(X4,X3)),X7)),divide(X5,X6)),X2),multiply(divide(inverse(divide(divide(divide(X6,X5),divide(X4,X3)),X7)),divide(X5,X6)),X2))),
inference(congruence,[status(thm)],[c87]) ).
cnf(c89,plain,
divide(inverse(divide(multiply(divide(X3,X2),X),multiply(divide(X7,multiply(divide(X6,X5),divide(multiply(divide(X5,X6),X4),multiply(divide(X3,X2),X4)))),X))),divide(X2,X3)) = divide(X7,multiply(divide(X6,X5),divide(multiply(divide(X5,X6),X4),multiply(divide(X3,X2),X4)))),
inference(substitution,[status(thm)],[c73]) ).
cnf(c90,plain,
divide(X7,multiply(divide(X6,X5),divide(multiply(divide(X5,X6),X4),multiply(divide(X3,X2),X4)))) = divide(inverse(divide(multiply(divide(X3,X2),X),multiply(divide(X7,multiply(divide(X6,X5),divide(multiply(divide(X5,X6),X4),multiply(divide(X3,X2),X4)))),X))),divide(X2,X3)),
inference(symmetry,[status(thm)],[c89]) ).
cnf(c91,plain,
multiply(X4,divide(divide(X3,X),divide(X2,X))) = divide(X4,inverse(divide(divide(X3,X),divide(X2,X)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c92,plain,
divide(X5,inverse(divide(divide(X4,X),divide(X2,X)))) = divide(X5,inverse(divide(divide(X4,X3),divide(X2,X3)))),
inference(congruence,[status(thm)],[c49]) ).
cnf(c93,plain,
multiply(X4,divide(divide(X3,X2),divide(X,X2))) = divide(X4,inverse(divide(divide(X3,X2),divide(X,X2)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c94,plain,
divide(X4,inverse(divide(divide(X3,X2),divide(X,X2)))) = multiply(X4,divide(divide(X3,X2),divide(X,X2))),
inference(symmetry,[status(thm)],[c93]) ).
cnf(c95,plain,
divide(X5,inverse(divide(divide(X4,X),divide(X2,X)))) = multiply(X5,divide(divide(X4,X3),divide(X2,X3))),
inference(transitivity,[status(thm)],[c92,c94]) ).
cnf(c96,plain,
multiply(X5,divide(divide(X4,X),divide(X2,X))) = multiply(X5,divide(divide(X4,X3),divide(X2,X3))),
inference(transitivity,[status(thm)],[c91,c95]) ).
cnf(c97,plain,
multiply(X5,divide(divide(X4,X3),divide(X2,X3))) = multiply(X5,divide(divide(X4,inverse(X)),divide(X2,inverse(X)))),
inference(substitution,[status(thm)],[c96]) ).
cnf(c98,plain,
multiply(X2,X) = divide(X2,inverse(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c99,plain,
divide(X2,inverse(X)) = multiply(X2,X),
inference(symmetry,[status(thm)],[c98]) ).
cnf(c100,plain,
divide(divide(X3,inverse(X)),divide(X2,inverse(X))) = divide(multiply(X3,X),divide(X2,inverse(X))),
inference(congruence,[status(thm)],[c99]) ).
cnf(c101,plain,
multiply(X4,divide(divide(X3,inverse(X)),divide(X2,inverse(X)))) = multiply(X4,divide(multiply(X3,X),divide(X2,inverse(X)))),
inference(congruence,[status(thm)],[c100]) ).
cnf(c102,plain,
multiply(X2,X) = divide(X2,inverse(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c103,plain,
divide(X2,inverse(X)) = multiply(X2,X),
inference(symmetry,[status(thm)],[c102]) ).
cnf(c104,plain,
divide(multiply(X3,X),divide(X2,inverse(X))) = divide(multiply(X3,X),multiply(X2,X)),
inference(congruence,[status(thm)],[c103]) ).
cnf(c105,plain,
multiply(X4,divide(multiply(X3,X),divide(X2,inverse(X)))) = multiply(X4,divide(multiply(X3,X),multiply(X2,X))),
inference(congruence,[status(thm)],[c104]) ).
cnf(c106,plain,
multiply(X4,divide(divide(X3,inverse(X)),divide(X2,inverse(X)))) = multiply(X4,divide(multiply(X3,X),multiply(X2,X))),
inference(transitivity,[status(thm)],[c101,c105]) ).
cnf(c107,plain,
multiply(X5,divide(divide(X4,X3),divide(X2,X3))) = multiply(X5,divide(multiply(X4,X),multiply(X2,X))),
inference(transitivity,[status(thm)],[c97,c106]) ).
cnf(c108,plain,
multiply(divide(X4,X3),divide(divide(divide(X3,X4),X),divide(X5,X))) = multiply(divide(X4,X3),divide(multiply(divide(X3,X4),X2),multiply(X5,X2))),
inference(substitution,[status(thm)],[c107]) ).
cnf(c109,plain,
multiply(divide(X4,X3),divide(multiply(divide(X3,X4),X2),multiply(X5,X2))) = multiply(divide(X4,X3),divide(divide(divide(X3,X4),X),divide(X5,X))),
inference(symmetry,[status(thm)],[c108]) ).
cnf(c110,plain,
divide(X5,multiply(divide(X4,X3),divide(multiply(divide(X3,X4),X2),multiply(X6,X2)))) = divide(X5,multiply(divide(X4,X3),divide(divide(divide(X3,X4),X),divide(X6,X)))),
inference(congruence,[status(thm)],[c109]) ).
cnf(c111,plain,
multiply(divide(X5,multiply(divide(X4,X3),divide(multiply(divide(X3,X4),X2),multiply(X7,X2)))),X6) = multiply(divide(X5,multiply(divide(X4,X3),divide(divide(divide(X3,X4),X),divide(X7,X)))),X6),
inference(congruence,[status(thm)],[c110]) ).
cnf(c112,plain,
divide(multiply(X7,X6),multiply(divide(X5,multiply(divide(X4,X3),divide(multiply(divide(X3,X4),X2),multiply(X7,X2)))),X6)) = divide(multiply(X7,X6),multiply(divide(X5,multiply(divide(X4,X3),divide(divide(divide(X3,X4),X),divide(X7,X)))),X6)),
inference(congruence,[status(thm)],[c111]) ).
cnf(c113,plain,
inverse(divide(multiply(X7,X6),multiply(divide(X5,multiply(divide(X4,X3),divide(multiply(divide(X3,X4),X2),multiply(X7,X2)))),X6))) = inverse(divide(multiply(X7,X6),multiply(divide(X5,multiply(divide(X4,X3),divide(divide(divide(X3,X4),X),divide(X7,X)))),X6))),
inference(congruence,[status(thm)],[c112]) ).
cnf(c114,plain,
multiply(divide(X3,X2),divide(divide(divide(X2,X3),X),divide(X4,X))) = divide(divide(X3,X2),inverse(divide(divide(divide(X2,X3),X),divide(X4,X)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c115,plain,
divide(X4,multiply(divide(X3,X2),divide(divide(divide(X2,X3),X),divide(X5,X)))) = divide(X4,divide(divide(X3,X2),inverse(divide(divide(divide(X2,X3),X),divide(X5,X))))),
inference(congruence,[status(thm)],[c114]) ).
cnf(c116,plain,
multiply(divide(X4,multiply(divide(X3,X2),divide(divide(divide(X2,X3),X),divide(X6,X)))),X5) = multiply(divide(X4,divide(divide(X3,X2),inverse(divide(divide(divide(X2,X3),X),divide(X6,X))))),X5),
inference(congruence,[status(thm)],[c115]) ).
cnf(c117,plain,
divide(multiply(X6,X5),multiply(divide(X4,multiply(divide(X3,X2),divide(divide(divide(X2,X3),X),divide(X6,X)))),X5)) = divide(multiply(X6,X5),multiply(divide(X4,divide(divide(X3,X2),inverse(divide(divide(divide(X2,X3),X),divide(X6,X))))),X5)),
inference(congruence,[status(thm)],[c116]) ).
cnf(c118,plain,
inverse(divide(multiply(X6,X5),multiply(divide(X4,multiply(divide(X3,X2),divide(divide(divide(X2,X3),X),divide(X6,X)))),X5))) = inverse(divide(multiply(X6,X5),multiply(divide(X4,divide(divide(X3,X2),inverse(divide(divide(divide(X2,X3),X),divide(X6,X))))),X5))),
inference(congruence,[status(thm)],[c117]) ).
cnf(c119,plain,
divide(inverse(divide(divide(divide(X2,X3),X),divide(X4,X))),divide(X3,X2)) = X4,
inference(substitution,[status(thm)],[c6]) ).
cnf(c120,plain,
X4 = divide(inverse(divide(divide(divide(X2,X3),X),divide(X4,X))),divide(X3,X2)),
inference(symmetry,[status(thm)],[c119]) ).
cnf(c121,plain,
multiply(X5,X4) = multiply(divide(inverse(divide(divide(divide(X2,X3),X),divide(X5,X))),divide(X3,X2)),X4),
inference(congruence,[status(thm)],[c120]) ).
cnf(c122,plain,
divide(multiply(X6,X5),multiply(divide(X4,divide(divide(X3,X2),inverse(divide(divide(divide(X2,X3),X),divide(X6,X))))),X5)) = divide(multiply(divide(inverse(divide(divide(divide(X2,X3),X),divide(X6,X))),divide(X3,X2)),X5),multiply(divide(X4,divide(divide(X3,X2),inverse(divide(divide(divide(X2,X3),X),divide(X6,X))))),X5)),
inference(congruence,[status(thm)],[c121]) ).
cnf(c123,plain,
inverse(divide(multiply(X6,X5),multiply(divide(X4,divide(divide(X3,X2),inverse(divide(divide(divide(X2,X3),X),divide(X6,X))))),X5))) = inverse(divide(multiply(divide(inverse(divide(divide(divide(X2,X3),X),divide(X6,X))),divide(X3,X2)),X5),multiply(divide(X4,divide(divide(X3,X2),inverse(divide(divide(divide(X2,X3),X),divide(X6,X))))),X5))),
inference(congruence,[status(thm)],[c122]) ).
cnf(c124,plain,
inverse(divide(divide(divide(X5,X4),X),divide(divide(X2,divide(X4,X5)),X))) = inverse(divide(multiply(divide(X5,X4),X3),multiply(divide(X2,divide(X4,X5)),X3))),
inference(substitution,[status(thm)],[c60]) ).
cnf(c125,plain,
inverse(divide(multiply(divide(X5,X4),X3),multiply(divide(X2,divide(X4,X5)),X3))) = inverse(divide(divide(divide(X5,X4),X),divide(divide(X2,divide(X4,X5)),X))),
inference(symmetry,[status(thm)],[c124]) ).
cnf(c126,plain,
divide(inverse(divide(divide(divide(X2,X),divide(X5,X6)),divide(X4,divide(X5,X6)))),divide(X,X2)) = inverse(divide(divide(divide(X6,X5),X3),divide(divide(X4,divide(X5,X6)),X3))),
inference(substitution,[status(thm)],[c17]) ).
cnf(c127,plain,
inverse(divide(divide(divide(X6,X5),X3),divide(divide(X4,divide(X5,X6)),X3))) = divide(inverse(divide(divide(divide(X2,X),divide(X5,X6)),divide(X4,divide(X5,X6)))),divide(X,X2)),
inference(symmetry,[status(thm)],[c126]) ).
cnf(c128,plain,
divide(inverse(divide(divide(divide(X2,X),divide(X4,X5)),divide(X3,divide(X4,X5)))),divide(X,X2)) = X3,
inference(substitution,[status(thm)],[c6]) ).
cnf(c129,plain,
inverse(divide(divide(divide(X4,X3),X),divide(divide(X2,divide(X3,X4)),X))) = X2,
inference(transitivity,[status(thm)],[c127,c128]) ).
cnf(c130,plain,
inverse(divide(multiply(divide(X4,X3),X2),multiply(divide(X,divide(X3,X4)),X2))) = X,
inference(transitivity,[status(thm)],[c125,c129]) ).
cnf(c131,plain,
inverse(divide(multiply(divide(inverse(divide(divide(divide(X2,X3),X),divide(X6,X))),divide(X3,X2)),X5),multiply(divide(X4,divide(divide(X3,X2),inverse(divide(divide(divide(X2,X3),X),divide(X6,X))))),X5))) = X4,
inference(substitution,[status(thm)],[c130]) ).
cnf(c132,plain,
inverse(divide(multiply(X6,X5),multiply(divide(X4,divide(divide(X3,X2),inverse(divide(divide(divide(X2,X3),X),divide(X6,X))))),X5))) = X4,
inference(transitivity,[status(thm)],[c123,c131]) ).
cnf(c133,plain,
inverse(divide(multiply(X6,X5),multiply(divide(X4,multiply(divide(X3,X2),divide(divide(divide(X2,X3),X),divide(X6,X)))),X5))) = X4,
inference(transitivity,[status(thm)],[c118,c132]) ).
cnf(c134,plain,
inverse(divide(multiply(X6,X5),multiply(divide(X4,multiply(divide(X3,X2),divide(multiply(divide(X2,X3),X),multiply(X6,X)))),X5))) = X4,
inference(transitivity,[status(thm)],[c113,c133]) ).
cnf(c135,plain,
inverse(divide(multiply(divide(X3,X2),X),multiply(divide(X7,multiply(divide(X6,X5),divide(multiply(divide(X5,X6),X4),multiply(divide(X3,X2),X4)))),X))) = X7,
inference(substitution,[status(thm)],[c134]) ).
cnf(c136,plain,
divide(inverse(divide(multiply(divide(X3,X2),X),multiply(divide(X7,multiply(divide(X6,X5),divide(multiply(divide(X5,X6),X4),multiply(divide(X3,X2),X4)))),X))),divide(X2,X3)) = divide(X7,divide(X2,X3)),
inference(congruence,[status(thm)],[c135]) ).
cnf(c137,plain,
divide(X6,multiply(divide(X5,X4),divide(multiply(divide(X4,X5),X3),multiply(divide(X2,X),X3)))) = divide(X6,divide(X,X2)),
inference(transitivity,[status(thm)],[c90,c136]) ).
cnf(c138,plain,
divide(multiply(X6,divide(multiply(divide(X5,X4),X3),multiply(divide(X2,X),X3))),multiply(divide(X4,X5),divide(multiply(divide(X5,X4),X3),multiply(divide(X2,X),X3)))) = divide(multiply(X6,divide(multiply(divide(X5,X4),X3),multiply(divide(X2,X),X3))),divide(X,X2)),
inference(substitution,[status(thm)],[c137]) ).
cnf(c139,plain,
divide(multiply(X6,divide(multiply(divide(X5,X4),X3),multiply(divide(X2,X),X3))),divide(X,X2)) = divide(multiply(X6,divide(multiply(divide(X5,X4),X3),multiply(divide(X2,X),X3))),multiply(divide(X4,X5),divide(multiply(divide(X5,X4),X3),multiply(divide(X2,X),X3)))),
inference(symmetry,[status(thm)],[c138]) ).
cnf(c140,plain,
inverse(divide(multiply(X6,divide(multiply(divide(X5,X4),X3),multiply(divide(X2,X),X3))),divide(X,X2))) = inverse(divide(multiply(X6,divide(multiply(divide(X5,X4),X3),multiply(divide(X2,X),X3))),multiply(divide(X4,X5),divide(multiply(divide(X5,X4),X3),multiply(divide(X2,X),X3))))),
inference(congruence,[status(thm)],[c139]) ).
cnf(c141,plain,
multiply(X2,X) = divide(X2,inverse(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c142,plain,
divide(multiply(X3,X),multiply(X2,X)) = divide(multiply(X3,X),divide(X2,inverse(X))),
inference(congruence,[status(thm)],[c141]) ).
cnf(c143,plain,
inverse(divide(multiply(X3,X),multiply(X2,X))) = inverse(divide(multiply(X3,X),divide(X2,inverse(X)))),
inference(congruence,[status(thm)],[c142]) ).
cnf(c144,plain,
multiply(X2,X) = divide(X2,inverse(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c145,plain,
divide(multiply(X3,X),divide(X2,inverse(X))) = divide(divide(X3,inverse(X)),divide(X2,inverse(X))),
inference(congruence,[status(thm)],[c144]) ).
cnf(c146,plain,
inverse(divide(multiply(X3,X),divide(X2,inverse(X)))) = inverse(divide(divide(X3,inverse(X)),divide(X2,inverse(X)))),
inference(congruence,[status(thm)],[c145]) ).
cnf(c147,plain,
inverse(divide(divide(X4,inverse(X3)),divide(X2,inverse(X3)))) = inverse(divide(divide(X4,inverse(X)),divide(X2,inverse(X)))),
inference(substitution,[status(thm)],[c49]) ).
cnf(c148,plain,
inverse(divide(divide(X4,inverse(X)),divide(X2,inverse(X)))) = inverse(divide(divide(X4,inverse(X3)),divide(X2,inverse(X3)))),
inference(symmetry,[status(thm)],[c147]) ).
cnf(c149,plain,
multiply(X2,X) = divide(X2,inverse(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c150,plain,
divide(X2,inverse(X)) = multiply(X2,X),
inference(symmetry,[status(thm)],[c149]) ).
cnf(c151,plain,
divide(divide(X3,inverse(X2)),divide(X,inverse(X2))) = divide(multiply(X3,X2),divide(X,inverse(X2))),
inference(congruence,[status(thm)],[c150]) ).
cnf(c152,plain,
inverse(divide(divide(X3,inverse(X2)),divide(X,inverse(X2)))) = inverse(divide(multiply(X3,X2),divide(X,inverse(X2)))),
inference(congruence,[status(thm)],[c151]) ).
cnf(c153,plain,
multiply(X,X2) = divide(X,inverse(X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c154,plain,
divide(X,inverse(X2)) = multiply(X,X2),
inference(symmetry,[status(thm)],[c153]) ).
cnf(c155,plain,
divide(multiply(X3,X2),divide(X,inverse(X2))) = divide(multiply(X3,X2),multiply(X,X2)),
inference(congruence,[status(thm)],[c154]) ).
cnf(c156,plain,
inverse(divide(multiply(X3,X2),divide(X,inverse(X2)))) = inverse(divide(multiply(X3,X2),multiply(X,X2))),
inference(congruence,[status(thm)],[c155]) ).
cnf(c157,plain,
inverse(divide(divide(X3,inverse(X2)),divide(X,inverse(X2)))) = inverse(divide(multiply(X3,X2),multiply(X,X2))),
inference(transitivity,[status(thm)],[c152,c156]) ).
cnf(c158,plain,
inverse(divide(divide(X4,inverse(X)),divide(X2,inverse(X)))) = inverse(divide(multiply(X4,X3),multiply(X2,X3))),
inference(transitivity,[status(thm)],[c148,c157]) ).
cnf(c159,plain,
inverse(divide(multiply(X4,X),divide(X2,inverse(X)))) = inverse(divide(multiply(X4,X3),multiply(X2,X3))),
inference(transitivity,[status(thm)],[c146,c158]) ).
cnf(c160,plain,
inverse(divide(multiply(X4,X),multiply(X2,X))) = inverse(divide(multiply(X4,X3),multiply(X2,X3))),
inference(transitivity,[status(thm)],[c143,c159]) ).
cnf(c161,plain,
inverse(divide(multiply(X7,X),multiply(divide(X5,X6),X))) = inverse(divide(multiply(X7,divide(multiply(divide(X6,X5),X4),multiply(divide(X3,X2),X4))),multiply(divide(X5,X6),divide(multiply(divide(X6,X5),X4),multiply(divide(X3,X2),X4))))),
inference(substitution,[status(thm)],[c160]) ).
cnf(c162,plain,
inverse(divide(multiply(X7,divide(multiply(divide(X6,X5),X4),multiply(divide(X3,X2),X4))),multiply(divide(X5,X6),divide(multiply(divide(X6,X5),X4),multiply(divide(X3,X2),X4))))) = inverse(divide(multiply(X7,X),multiply(divide(X5,X6),X))),
inference(symmetry,[status(thm)],[c161]) ).
cnf(c163,plain,
inverse(divide(multiply(X7,divide(multiply(divide(X6,X5),X4),multiply(divide(X3,X2),X4))),divide(X2,X3))) = inverse(divide(multiply(X7,X),multiply(divide(X5,X6),X))),
inference(transitivity,[status(thm)],[c140,c162]) ).
cnf(c164,plain,
inverse(divide(multiply(divide(X4,X3),divide(multiply(divide(X3,X4),X),multiply(divide(X6,X5),X))),divide(X5,X6))) = inverse(divide(multiply(divide(X4,X3),X2),multiply(divide(X4,X3),X2))),
inference(substitution,[status(thm)],[c163]) ).
cnf(c165,plain,
inverse(divide(multiply(divide(X6,X5),X4),multiply(divide(X6,X5),X4))) = inverse(divide(multiply(divide(X6,X5),divide(multiply(divide(X5,X6),X3),multiply(divide(X2,X),X3))),divide(X,X2))),
inference(symmetry,[status(thm)],[c164]) ).
cnf(c166,plain,
multiply(divide(X,X2),X3) = divide(divide(X,X2),inverse(X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c167,plain,
divide(multiply(divide(X,X2),X4),X3) = divide(divide(divide(X,X2),inverse(X4)),X3),
inference(congruence,[status(thm)],[c166]) ).
cnf(c168,plain,
multiply(divide(X2,X),divide(multiply(divide(X,X2),X4),X3)) = multiply(divide(X2,X),divide(divide(divide(X,X2),inverse(X4)),X3)),
inference(congruence,[status(thm)],[c167]) ).
cnf(c169,plain,
divide(inverse(divide(divide(divide(X3,X2),X),divide(multiply(divide(X5,X4),divide(divide(divide(X4,X5),X7),X6)),X))),divide(X2,X3)) = multiply(divide(X5,X4),divide(divide(divide(X4,X5),X7),X6)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c170,plain,
multiply(divide(X5,X4),divide(divide(divide(X4,X5),X7),X6)) = divide(inverse(divide(divide(divide(X3,X2),X),divide(multiply(divide(X5,X4),divide(divide(divide(X4,X5),X7),X6)),X))),divide(X2,X3)),
inference(symmetry,[status(thm)],[c169]) ).
cnf(c171,plain,
divide(X8,multiply(divide(X2,X9),divide(multiply(divide(X9,X2),X),multiply(divide(X5,multiply(divide(X4,X3),divide(divide(divide(X3,X4),X7),X6))),X)))) = divide(X8,divide(multiply(divide(X4,X3),divide(divide(divide(X3,X4),X7),X6)),X5)),
inference(substitution,[status(thm)],[c137]) ).
cnf(c172,plain,
divide(X9,divide(multiply(divide(X5,X4),divide(divide(divide(X4,X5),X8),X7)),X6)) = divide(X9,multiply(divide(X3,X2),divide(multiply(divide(X2,X3),X),multiply(divide(X6,multiply(divide(X5,X4),divide(divide(divide(X4,X5),X8),X7))),X)))),
inference(symmetry,[status(thm)],[c171]) ).
cnf(c173,plain,
divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3)) = X4,
inference(substitution,[status(thm)],[c6]) ).
cnf(c174,plain,
X4 = divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3)),
inference(symmetry,[status(thm)],[c173]) ).
cnf(c175,plain,
divide(divide(X7,multiply(divide(X6,X5),divide(divide(divide(X5,X6),X4),X8))),X4) = divide(divide(X7,multiply(divide(X6,X5),divide(divide(divide(X5,X6),X4),X8))),divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3))),
inference(congruence,[status(thm)],[c174]) ).
cnf(c176,plain,
divide(X8,divide(divide(X7,multiply(divide(X6,X5),divide(divide(divide(X5,X6),X4),X8))),X4)) = divide(X8,divide(divide(X7,multiply(divide(X6,X5),divide(divide(divide(X5,X6),X4),X8))),divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3)))),
inference(congruence,[status(thm)],[c175]) ).
cnf(c177,plain,
inverse(divide(X8,divide(divide(X7,multiply(divide(X6,X5),divide(divide(divide(X5,X6),X4),X8))),X4))) = inverse(divide(X8,divide(divide(X7,multiply(divide(X6,X5),divide(divide(divide(X5,X6),X4),X8))),divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3))))),
inference(congruence,[status(thm)],[c176]) ).
cnf(c178,plain,
divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3)) = X4,
inference(substitution,[status(thm)],[c6]) ).
cnf(c179,plain,
X4 = divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3)),
inference(symmetry,[status(thm)],[c178]) ).
cnf(c180,plain,
divide(divide(X5,X6),X4) = divide(divide(X5,X6),divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3))),
inference(congruence,[status(thm)],[c179]) ).
cnf(c181,plain,
divide(divide(divide(X5,X6),X4),X7) = divide(divide(divide(X5,X6),divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3))),X7),
inference(congruence,[status(thm)],[c180]) ).
cnf(c182,plain,
multiply(divide(X6,X5),divide(divide(divide(X5,X6),X4),X7)) = multiply(divide(X6,X5),divide(divide(divide(X5,X6),divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3))),X7)),
inference(congruence,[status(thm)],[c181]) ).
cnf(c183,plain,
divide(X7,multiply(divide(X6,X5),divide(divide(divide(X5,X6),X4),X8))) = divide(X7,multiply(divide(X6,X5),divide(divide(divide(X5,X6),divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3))),X8))),
inference(congruence,[status(thm)],[c182]) ).
cnf(c184,plain,
divide(divide(X7,multiply(divide(X6,X5),divide(divide(divide(X5,X6),X4),X8))),divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3))) = divide(divide(X7,multiply(divide(X6,X5),divide(divide(divide(X5,X6),divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3))),X8))),divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3))),
inference(congruence,[status(thm)],[c183]) ).
cnf(c185,plain,
divide(X8,divide(divide(X7,multiply(divide(X6,X5),divide(divide(divide(X5,X6),X4),X8))),divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3)))) = divide(X8,divide(divide(X7,multiply(divide(X6,X5),divide(divide(divide(X5,X6),divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3))),X8))),divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3)))),
inference(congruence,[status(thm)],[c184]) ).
cnf(c186,plain,
inverse(divide(X8,divide(divide(X7,multiply(divide(X6,X5),divide(divide(divide(X5,X6),X4),X8))),divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3))))) = inverse(divide(X8,divide(divide(X7,multiply(divide(X6,X5),divide(divide(divide(X5,X6),divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3))),X8))),divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3))))),
inference(congruence,[status(thm)],[c185]) ).
cnf(c187,plain,
inverse(divide(multiply(inverse(divide(multiply(divide(X3,X4),X2),multiply(X8,X2))),X),multiply(divide(X7,multiply(divide(X6,X5),divide(divide(divide(X5,X6),divide(X4,X3)),X8))),X))) = inverse(divide(X8,divide(divide(X7,multiply(divide(X6,X5),divide(divide(divide(X5,X6),divide(X4,X3)),X8))),divide(X4,X3)))),
inference(substitution,[status(thm)],[c76]) ).
cnf(c188,plain,
inverse(divide(X8,divide(divide(X7,multiply(divide(X6,X5),divide(divide(divide(X5,X6),divide(X4,X3)),X8))),divide(X4,X3)))) = inverse(divide(multiply(inverse(divide(multiply(divide(X3,X4),X2),multiply(X8,X2))),X),multiply(divide(X7,multiply(divide(X6,X5),divide(divide(divide(X5,X6),divide(X4,X3)),X8))),X))),
inference(symmetry,[status(thm)],[c187]) ).
cnf(c189,plain,
inverse(divide(divide(divide(X5,X4),X),divide(X2,X))) = inverse(divide(multiply(divide(X5,X4),X3),multiply(X2,X3))),
inference(substitution,[status(thm)],[c60]) ).
cnf(c190,plain,
inverse(divide(multiply(divide(X5,X4),X3),multiply(X2,X3))) = inverse(divide(divide(divide(X5,X4),X),divide(X2,X))),
inference(symmetry,[status(thm)],[c189]) ).
cnf(c191,plain,
multiply(inverse(divide(multiply(divide(X5,X4),X3),multiply(X2,X3))),X6) = multiply(inverse(divide(divide(divide(X5,X4),X),divide(X2,X))),X6),
inference(congruence,[status(thm)],[c190]) ).
cnf(c192,plain,
divide(multiply(X7,X6),multiply(inverse(divide(multiply(divide(X5,X4),X3),multiply(X2,X3))),X6)) = divide(multiply(X7,X6),multiply(inverse(divide(divide(divide(X5,X4),X),divide(X2,X))),X6)),
inference(congruence,[status(thm)],[c191]) ).
cnf(c193,plain,
multiply(X8,divide(multiply(X7,X6),multiply(inverse(divide(multiply(divide(X5,X4),X3),multiply(X2,X3))),X6))) = multiply(X8,divide(multiply(X7,X6),multiply(inverse(divide(divide(divide(X5,X4),X),divide(X2,X))),X6))),
inference(congruence,[status(thm)],[c192]) ).
cnf(c194,plain,
multiply(X7,divide(divide(X6,divide(X3,X4)),divide(inverse(divide(divide(divide(X4,X3),X),divide(X2,X))),divide(X3,X4)))) = multiply(X7,divide(multiply(X6,X5),multiply(inverse(divide(divide(divide(X4,X3),X),divide(X2,X))),X5))),
inference(substitution,[status(thm)],[c107]) ).
cnf(c195,plain,
multiply(X7,divide(multiply(X6,X5),multiply(inverse(divide(divide(divide(X4,X3),X),divide(X2,X))),X5))) = multiply(X7,divide(divide(X6,divide(X3,X4)),divide(inverse(divide(divide(divide(X4,X3),X),divide(X2,X))),divide(X3,X4)))),
inference(symmetry,[status(thm)],[c194]) ).
cnf(c196,plain,
divide(inverse(divide(divide(divide(X4,X3),X),divide(X2,X))),divide(X3,X4)) = X2,
inference(substitution,[status(thm)],[c6]) ).
cnf(c197,plain,
divide(divide(X5,divide(X3,X4)),divide(inverse(divide(divide(divide(X4,X3),X),divide(X2,X))),divide(X3,X4))) = divide(divide(X5,divide(X3,X4)),X2),
inference(congruence,[status(thm)],[c196]) ).
cnf(c198,plain,
multiply(X6,divide(divide(X5,divide(X3,X4)),divide(inverse(divide(divide(divide(X4,X3),X),divide(X2,X))),divide(X3,X4)))) = multiply(X6,divide(divide(X5,divide(X3,X4)),X2)),
inference(congruence,[status(thm)],[c197]) ).
cnf(c199,plain,
multiply(X7,divide(multiply(X6,X5),multiply(inverse(divide(divide(divide(X4,X3),X),divide(X2,X))),X5))) = multiply(X7,divide(divide(X6,divide(X3,X4)),X2)),
inference(transitivity,[status(thm)],[c195,c198]) ).
cnf(c200,plain,
multiply(X7,divide(multiply(X6,X5),multiply(inverse(divide(multiply(divide(X4,X3),X2),multiply(X,X2))),X5))) = multiply(X7,divide(divide(X6,divide(X3,X4)),X)),
inference(transitivity,[status(thm)],[c193,c199]) ).
cnf(c201,plain,
multiply(divide(X6,X5),divide(multiply(divide(X5,X6),X),multiply(inverse(divide(multiply(divide(X3,X4),X2),multiply(X7,X2))),X))) = multiply(divide(X6,X5),divide(divide(divide(X5,X6),divide(X4,X3)),X7)),
inference(substitution,[status(thm)],[c200]) ).
cnf(c202,plain,
multiply(divide(X6,X5),divide(divide(divide(X5,X6),divide(X4,X3)),X7)) = multiply(divide(X6,X5),divide(multiply(divide(X5,X6),X),multiply(inverse(divide(multiply(divide(X3,X4),X2),multiply(X7,X2))),X))),
inference(symmetry,[status(thm)],[c201]) ).
cnf(c203,plain,
divide(X7,multiply(divide(X6,X5),divide(divide(divide(X5,X6),divide(X4,X3)),X8))) = divide(X7,multiply(divide(X6,X5),divide(multiply(divide(X5,X6),X),multiply(inverse(divide(multiply(divide(X3,X4),X2),multiply(X8,X2))),X)))),
inference(congruence,[status(thm)],[c202]) ).
cnf(c204,plain,
multiply(divide(X8,multiply(divide(X7,X6),divide(divide(divide(X6,X7),divide(X5,X4)),X9))),X2) = multiply(divide(X8,multiply(divide(X7,X6),divide(multiply(divide(X6,X7),X),multiply(inverse(divide(multiply(divide(X4,X5),X3),multiply(X9,X3))),X)))),X2),
inference(congruence,[status(thm)],[c203]) ).
cnf(c205,plain,
divide(multiply(inverse(divide(multiply(divide(X4,X5),X3),multiply(X9,X3))),X2),multiply(divide(X8,multiply(divide(X7,X6),divide(divide(divide(X6,X7),divide(X5,X4)),X9))),X2)) = divide(multiply(inverse(divide(multiply(divide(X4,X5),X3),multiply(X9,X3))),X2),multiply(divide(X8,multiply(divide(X7,X6),divide(multiply(divide(X6,X7),X),multiply(inverse(divide(multiply(divide(X4,X5),X3),multiply(X9,X3))),X)))),X2)),
inference(congruence,[status(thm)],[c204]) ).
cnf(c206,plain,
inverse(divide(multiply(inverse(divide(multiply(divide(X4,X5),X3),multiply(X9,X3))),X2),multiply(divide(X8,multiply(divide(X7,X6),divide(divide(divide(X6,X7),divide(X5,X4)),X9))),X2))) = inverse(divide(multiply(inverse(divide(multiply(divide(X4,X5),X3),multiply(X9,X3))),X2),multiply(divide(X8,multiply(divide(X7,X6),divide(multiply(divide(X6,X7),X),multiply(inverse(divide(multiply(divide(X4,X5),X3),multiply(X9,X3))),X)))),X2))),
inference(congruence,[status(thm)],[c205]) ).
cnf(c207,plain,
inverse(divide(multiply(inverse(divide(multiply(divide(X4,X5),X3),multiply(X9,X3))),X2),multiply(divide(X8,multiply(divide(X7,X6),divide(multiply(divide(X6,X7),X),multiply(inverse(divide(multiply(divide(X4,X5),X3),multiply(X9,X3))),X)))),X2))) = X8,
inference(substitution,[status(thm)],[c134]) ).
cnf(c208,plain,
inverse(divide(multiply(inverse(divide(multiply(divide(X3,X4),X2),multiply(X8,X2))),X),multiply(divide(X7,multiply(divide(X6,X5),divide(divide(divide(X5,X6),divide(X4,X3)),X8))),X))) = X7,
inference(transitivity,[status(thm)],[c206,c207]) ).
cnf(c209,plain,
inverse(divide(X6,divide(divide(X5,multiply(divide(X4,X3),divide(divide(divide(X3,X4),divide(X2,X)),X6))),divide(X2,X)))) = X5,
inference(transitivity,[status(thm)],[c188,c208]) ).
cnf(c210,plain,
inverse(divide(X8,divide(divide(X7,multiply(divide(X6,X5),divide(divide(divide(X5,X6),divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3))),X8))),divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3))))) = X7,
inference(substitution,[status(thm)],[c209]) ).
cnf(c211,plain,
inverse(divide(X8,divide(divide(X7,multiply(divide(X6,X5),divide(divide(divide(X5,X6),X4),X8))),divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3))))) = X7,
inference(transitivity,[status(thm)],[c186,c210]) ).
cnf(c212,plain,
inverse(divide(X5,divide(divide(X4,multiply(divide(X3,X2),divide(divide(divide(X2,X3),X),X5))),X))) = X4,
inference(transitivity,[status(thm)],[c177,c211]) ).
cnf(c213,plain,
inverse(divide(X,divide(divide(X5,multiply(divide(X4,X3),divide(divide(divide(X3,X4),X2),X))),X2))) = X5,
inference(substitution,[status(thm)],[c212]) ).
cnf(c214,plain,
X5 = inverse(divide(X,divide(divide(X5,multiply(divide(X4,X3),divide(divide(divide(X3,X4),X2),X))),X2))),
inference(symmetry,[status(thm)],[c213]) ).
cnf(c215,plain,
divide(X7,multiply(divide(X2,X),divide(divide(divide(X,X2),X4),X3))) = divide(inverse(divide(X3,divide(divide(X7,multiply(divide(X6,X5),divide(divide(divide(X5,X6),X4),X3))),X4))),multiply(divide(X2,X),divide(divide(divide(X,X2),X4),X3))),
inference(congruence,[status(thm)],[c214]) ).
cnf(c216,plain,
divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3)) = X4,
inference(substitution,[status(thm)],[c6]) ).
cnf(c217,plain,
X4 = divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3)),
inference(symmetry,[status(thm)],[c216]) ).
cnf(c218,plain,
divide(divide(X4,X5),X6) = divide(divide(X4,X5),divide(inverse(divide(divide(divide(X3,X2),X),divide(X6,X))),divide(X2,X3))),
inference(congruence,[status(thm)],[c217]) ).
cnf(c219,plain,
divide(divide(divide(X4,X5),X6),X7) = divide(divide(divide(X4,X5),divide(inverse(divide(divide(divide(X3,X2),X),divide(X6,X))),divide(X2,X3))),X7),
inference(congruence,[status(thm)],[c218]) ).
cnf(c220,plain,
multiply(divide(X5,X4),divide(divide(divide(X4,X5),X6),X7)) = multiply(divide(X5,X4),divide(divide(divide(X4,X5),divide(inverse(divide(divide(divide(X3,X2),X),divide(X6,X))),divide(X2,X3))),X7)),
inference(congruence,[status(thm)],[c219]) ).
cnf(c221,plain,
divide(inverse(divide(X8,divide(X7,X6))),multiply(divide(X5,X4),divide(divide(divide(X4,X5),X6),X8))) = divide(inverse(divide(X8,divide(X7,X6))),multiply(divide(X5,X4),divide(divide(divide(X4,X5),divide(inverse(divide(divide(divide(X3,X2),X),divide(X6,X))),divide(X2,X3))),X8))),
inference(congruence,[status(thm)],[c220]) ).
cnf(c222,plain,
divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3)) = X4,
inference(substitution,[status(thm)],[c6]) ).
cnf(c223,plain,
X4 = divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3)),
inference(symmetry,[status(thm)],[c222]) ).
cnf(c224,plain,
divide(X5,X4) = divide(X5,divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3))),
inference(congruence,[status(thm)],[c223]) ).
cnf(c225,plain,
divide(X6,divide(X5,X4)) = divide(X6,divide(X5,divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3)))),
inference(congruence,[status(thm)],[c224]) ).
cnf(c226,plain,
inverse(divide(X6,divide(X5,X4))) = inverse(divide(X6,divide(X5,divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3))))),
inference(congruence,[status(thm)],[c225]) ).
cnf(c227,plain,
divide(inverse(divide(X8,divide(X7,X6))),multiply(divide(X5,X4),divide(divide(divide(X4,X5),divide(inverse(divide(divide(divide(X3,X2),X),divide(X6,X))),divide(X2,X3))),X8))) = divide(inverse(divide(X8,divide(X7,divide(inverse(divide(divide(divide(X3,X2),X),divide(X6,X))),divide(X2,X3))))),multiply(divide(X5,X4),divide(divide(divide(X4,X5),divide(inverse(divide(divide(divide(X3,X2),X),divide(X6,X))),divide(X2,X3))),X8))),
inference(congruence,[status(thm)],[c226]) ).
cnf(c228,plain,
inverse(divide(multiply(inverse(divide(multiply(divide(X3,X4),X2),multiply(X6,X2))),X),multiply(X5,X))) = inverse(divide(X6,divide(X5,divide(X4,X3)))),
inference(substitution,[status(thm)],[c76]) ).
cnf(c229,plain,
inverse(divide(X6,divide(X5,divide(X4,X3)))) = inverse(divide(multiply(inverse(divide(multiply(divide(X3,X4),X2),multiply(X6,X2))),X),multiply(X5,X))),
inference(symmetry,[status(thm)],[c228]) ).
cnf(c230,plain,
divide(inverse(divide(X8,divide(X7,divide(X6,X5)))),multiply(divide(X4,X3),divide(divide(divide(X3,X4),divide(X6,X5)),X8))) = divide(inverse(divide(multiply(inverse(divide(multiply(divide(X5,X6),X2),multiply(X8,X2))),X),multiply(X7,X))),multiply(divide(X4,X3),divide(divide(divide(X3,X4),divide(X6,X5)),X8))),
inference(congruence,[status(thm)],[c229]) ).
cnf(c231,plain,
multiply(divide(X4,X3),divide(multiply(divide(X3,X4),X),multiply(inverse(divide(multiply(divide(X5,X6),X2),multiply(X7,X2))),X))) = multiply(divide(X4,X3),divide(divide(divide(X3,X4),divide(X6,X5)),X7)),
inference(substitution,[status(thm)],[c200]) ).
cnf(c232,plain,
multiply(divide(X4,X3),divide(divide(divide(X3,X4),divide(X6,X5)),X7)) = multiply(divide(X4,X3),divide(multiply(divide(X3,X4),X),multiply(inverse(divide(multiply(divide(X5,X6),X2),multiply(X7,X2))),X))),
inference(symmetry,[status(thm)],[c231]) ).
cnf(c233,plain,
divide(inverse(divide(multiply(inverse(divide(multiply(divide(X6,X7),X3),multiply(X9,X3))),X2),multiply(X8,X2))),multiply(divide(X5,X4),divide(divide(divide(X4,X5),divide(X7,X6)),X9))) = divide(inverse(divide(multiply(inverse(divide(multiply(divide(X6,X7),X3),multiply(X9,X3))),X2),multiply(X8,X2))),multiply(divide(X5,X4),divide(multiply(divide(X4,X5),X),multiply(inverse(divide(multiply(divide(X6,X7),X3),multiply(X9,X3))),X)))),
inference(congruence,[status(thm)],[c232]) ).
cnf(c234,plain,
divide(inverse(divide(multiply(divide(X2,X3),X),multiply(X4,X))),divide(X3,X2)) = X4,
inference(substitution,[status(thm)],[c73]) ).
cnf(c235,plain,
X4 = divide(inverse(divide(multiply(divide(X2,X3),X),multiply(X4,X))),divide(X3,X2)),
inference(symmetry,[status(thm)],[c234]) ).
cnf(c236,plain,
multiply(X5,X4) = multiply(divide(inverse(divide(multiply(divide(X2,X3),X),multiply(X5,X))),divide(X3,X2)),X4),
inference(congruence,[status(thm)],[c235]) ).
cnf(c237,plain,
divide(multiply(X6,X5),multiply(X4,X5)) = divide(multiply(divide(inverse(divide(multiply(divide(X2,X3),X),multiply(X6,X))),divide(X3,X2)),X5),multiply(X4,X5)),
inference(congruence,[status(thm)],[c236]) ).
cnf(c238,plain,
inverse(divide(multiply(X6,X5),multiply(X4,X5))) = inverse(divide(multiply(divide(inverse(divide(multiply(divide(X2,X3),X),multiply(X6,X))),divide(X3,X2)),X5),multiply(X4,X5))),
inference(congruence,[status(thm)],[c237]) ).
cnf(c239,plain,
divide(inverse(divide(multiply(X6,X5),multiply(X4,X5))),multiply(divide(X3,X2),divide(multiply(divide(X2,X3),X),multiply(X6,X)))) = divide(inverse(divide(multiply(divide(inverse(divide(multiply(divide(X2,X3),X),multiply(X6,X))),divide(X3,X2)),X5),multiply(X4,X5))),multiply(divide(X3,X2),divide(multiply(divide(X2,X3),X),multiply(X6,X)))),
inference(congruence,[status(thm)],[c238]) ).
cnf(c240,plain,
inverse(divide(divide(divide(inverse(divide(multiply(divide(X3,X4),X2),multiply(X7,X2))),divide(X4,X3)),X),divide(X5,X))) = inverse(divide(multiply(divide(inverse(divide(multiply(divide(X3,X4),X2),multiply(X7,X2))),divide(X4,X3)),X6),multiply(X5,X6))),
inference(substitution,[status(thm)],[c60]) ).
cnf(c241,plain,
inverse(divide(multiply(divide(inverse(divide(multiply(divide(X3,X4),X2),multiply(X7,X2))),divide(X4,X3)),X6),multiply(X5,X6))) = inverse(divide(divide(divide(inverse(divide(multiply(divide(X3,X4),X2),multiply(X7,X2))),divide(X4,X3)),X),divide(X5,X))),
inference(symmetry,[status(thm)],[c240]) ).
cnf(c242,plain,
divide(inverse(divide(multiply(divide(inverse(divide(multiply(divide(X3,X4),X2),multiply(X7,X2))),divide(X4,X3)),X6),multiply(X5,X6))),multiply(divide(X4,X3),divide(multiply(divide(X3,X4),X2),multiply(X7,X2)))) = divide(inverse(divide(divide(divide(inverse(divide(multiply(divide(X3,X4),X2),multiply(X7,X2))),divide(X4,X3)),X),divide(X5,X))),multiply(divide(X4,X3),divide(multiply(divide(X3,X4),X2),multiply(X7,X2)))),
inference(congruence,[status(thm)],[c241]) ).
cnf(c243,plain,
multiply(X,X2) = divide(X,inverse(X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c244,plain,
divide(inverse(divide(divide(divide(inverse(X4),X3),X2),divide(X,X2))),multiply(X3,X4)) = divide(inverse(divide(divide(divide(inverse(X4),X3),X2),divide(X,X2))),divide(X3,inverse(X4))),
inference(congruence,[status(thm)],[c243]) ).
cnf(c245,plain,
divide(inverse(divide(divide(divide(inverse(X4),X3),X2),divide(X,X2))),divide(X3,inverse(X4))) = X,
inference(substitution,[status(thm)],[c6]) ).
cnf(c246,plain,
divide(inverse(divide(divide(divide(inverse(X4),X3),X2),divide(X,X2))),multiply(X3,X4)) = X,
inference(transitivity,[status(thm)],[c244,c245]) ).
cnf(c247,plain,
divide(inverse(divide(divide(divide(inverse(divide(multiply(divide(X3,X4),X2),multiply(X6,X2))),divide(X4,X3)),X),divide(X5,X))),multiply(divide(X4,X3),divide(multiply(divide(X3,X4),X2),multiply(X6,X2)))) = X5,
inference(substitution,[status(thm)],[c246]) ).
cnf(c248,plain,
divide(inverse(divide(multiply(divide(inverse(divide(multiply(divide(X2,X3),X),multiply(X6,X))),divide(X3,X2)),X5),multiply(X4,X5))),multiply(divide(X3,X2),divide(multiply(divide(X2,X3),X),multiply(X6,X)))) = X4,
inference(transitivity,[status(thm)],[c242,c247]) ).
cnf(c249,plain,
divide(inverse(divide(multiply(X6,X5),multiply(X4,X5))),multiply(divide(X3,X2),divide(multiply(divide(X2,X3),X),multiply(X6,X)))) = X4,
inference(transitivity,[status(thm)],[c239,c248]) ).
cnf(c250,plain,
divide(inverse(divide(multiply(inverse(divide(multiply(divide(X6,X7),X3),multiply(X9,X3))),X2),multiply(X8,X2))),multiply(divide(X5,X4),divide(multiply(divide(X4,X5),X),multiply(inverse(divide(multiply(divide(X6,X7),X3),multiply(X9,X3))),X)))) = X8,
inference(substitution,[status(thm)],[c249]) ).
cnf(c251,plain,
divide(inverse(divide(multiply(inverse(divide(multiply(divide(X5,X6),X2),multiply(X8,X2))),X),multiply(X7,X))),multiply(divide(X4,X3),divide(divide(divide(X3,X4),divide(X6,X5)),X8))) = X7,
inference(transitivity,[status(thm)],[c233,c250]) ).
cnf(c252,plain,
divide(inverse(divide(X6,divide(X5,divide(X4,X3)))),multiply(divide(X2,X),divide(divide(divide(X,X2),divide(X4,X3)),X6))) = X5,
inference(transitivity,[status(thm)],[c230,c251]) ).
cnf(c253,plain,
divide(inverse(divide(X8,divide(X7,divide(inverse(divide(divide(divide(X3,X2),X),divide(X6,X))),divide(X2,X3))))),multiply(divide(X5,X4),divide(divide(divide(X4,X5),divide(inverse(divide(divide(divide(X3,X2),X),divide(X6,X))),divide(X2,X3))),X8))) = X7,
inference(substitution,[status(thm)],[c252]) ).
cnf(c254,plain,
divide(inverse(divide(X8,divide(X7,X6))),multiply(divide(X5,X4),divide(divide(divide(X4,X5),divide(inverse(divide(divide(divide(X3,X2),X),divide(X6,X))),divide(X2,X3))),X8))) = X7,
inference(transitivity,[status(thm)],[c227,c253]) ).
cnf(c255,plain,
divide(inverse(divide(X5,divide(X4,X3))),multiply(divide(X2,X),divide(divide(divide(X,X2),X3),X5))) = X4,
inference(transitivity,[status(thm)],[c221,c254]) ).
cnf(c256,plain,
divide(inverse(divide(X3,divide(divide(X7,multiply(divide(X6,X5),divide(divide(divide(X5,X6),X4),X3))),X4))),multiply(divide(X2,X),divide(divide(divide(X,X2),X4),X3))) = divide(X7,multiply(divide(X6,X5),divide(divide(divide(X5,X6),X4),X3))),
inference(substitution,[status(thm)],[c255]) ).
cnf(c257,plain,
divide(X7,multiply(divide(X2,X),divide(divide(divide(X,X2),X4),X3))) = divide(X7,multiply(divide(X6,X5),divide(divide(divide(X5,X6),X4),X3))),
inference(transitivity,[status(thm)],[c215,c256]) ).
cnf(c258,plain,
divide(X3,multiply(divide(X2,X),divide(divide(divide(X,X2),X5),X4))) = divide(X3,multiply(divide(X7,X6),divide(divide(divide(X6,X7),X5),X4))),
inference(substitution,[status(thm)],[c257]) ).
cnf(c259,plain,
multiply(divide(X4,multiply(divide(X3,X2),divide(divide(divide(X2,X3),X6),X5))),X) = multiply(divide(X4,multiply(divide(X8,X7),divide(divide(divide(X7,X8),X6),X5))),X),
inference(congruence,[status(thm)],[c258]) ).
cnf(c260,plain,
divide(multiply(divide(X2,X3),X),multiply(divide(X6,multiply(divide(X5,X4),divide(divide(divide(X4,X5),X8),X7))),X)) = divide(multiply(divide(X2,X3),X),multiply(divide(X6,multiply(divide(X10,X9),divide(divide(divide(X9,X10),X8),X7))),X)),
inference(congruence,[status(thm)],[c259]) ).
cnf(c261,plain,
multiply(divide(X3,X2),divide(multiply(divide(X2,X3),X),multiply(divide(X6,multiply(divide(X5,X4),divide(divide(divide(X4,X5),X8),X7))),X))) = multiply(divide(X3,X2),divide(multiply(divide(X2,X3),X),multiply(divide(X6,multiply(divide(X10,X9),divide(divide(divide(X9,X10),X8),X7))),X))),
inference(congruence,[status(thm)],[c260]) ).
cnf(c262,plain,
divide(X11,multiply(divide(X3,X2),divide(multiply(divide(X2,X3),X),multiply(divide(X6,multiply(divide(X5,X4),divide(divide(divide(X4,X5),X8),X7))),X)))) = divide(X11,multiply(divide(X3,X2),divide(multiply(divide(X2,X3),X),multiply(divide(X6,multiply(divide(X10,X9),divide(divide(divide(X9,X10),X8),X7))),X)))),
inference(congruence,[status(thm)],[c261]) ).
cnf(c263,plain,
divide(X9,multiply(divide(X3,X2),divide(multiply(divide(X2,X3),X),multiply(divide(X4,multiply(divide(X8,X7),divide(divide(divide(X7,X8),X6),X5))),X)))) = divide(X9,divide(multiply(divide(X8,X7),divide(divide(divide(X7,X8),X6),X5)),X4)),
inference(substitution,[status(thm)],[c137]) ).
cnf(c264,plain,
divide(X11,multiply(divide(X3,X2),divide(multiply(divide(X2,X3),X),multiply(divide(X6,multiply(divide(X5,X4),divide(divide(divide(X4,X5),X8),X7))),X)))) = divide(X11,divide(multiply(divide(X10,X9),divide(divide(divide(X9,X10),X8),X7)),X6)),
inference(transitivity,[status(thm)],[c262,c263]) ).
cnf(c265,plain,
divide(X8,divide(multiply(divide(X2,X),divide(divide(divide(X,X2),X5),X4)),X3)) = divide(X8,divide(multiply(divide(X7,X6),divide(divide(divide(X6,X7),X5),X4)),X3)),
inference(transitivity,[status(thm)],[c172,c264]) ).
cnf(c266,plain,
divide(divide(divide(X3,X2),X),divide(multiply(divide(X5,X4),divide(divide(divide(X4,X5),X7),X6)),X)) = divide(divide(divide(X3,X2),X),divide(multiply(divide(X9,X8),divide(divide(divide(X8,X9),X7),X6)),X)),
inference(substitution,[status(thm)],[c265]) ).
cnf(c267,plain,
inverse(divide(divide(divide(X3,X2),X),divide(multiply(divide(X5,X4),divide(divide(divide(X4,X5),X7),X6)),X))) = inverse(divide(divide(divide(X3,X2),X),divide(multiply(divide(X9,X8),divide(divide(divide(X8,X9),X7),X6)),X))),
inference(congruence,[status(thm)],[c266]) ).
cnf(c268,plain,
divide(inverse(divide(divide(divide(X3,X2),X),divide(multiply(divide(X5,X4),divide(divide(divide(X4,X5),X7),X6)),X))),divide(X2,X3)) = divide(inverse(divide(divide(divide(X3,X2),X),divide(multiply(divide(X9,X8),divide(divide(divide(X8,X9),X7),X6)),X))),divide(X2,X3)),
inference(congruence,[status(thm)],[c267]) ).
cnf(c269,plain,
divide(inverse(divide(divide(divide(X3,X2),X),divide(multiply(divide(X7,X6),divide(divide(divide(X6,X7),X5),X4)),X))),divide(X2,X3)) = multiply(divide(X7,X6),divide(divide(divide(X6,X7),X5),X4)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c270,plain,
divide(inverse(divide(divide(divide(X3,X2),X),divide(multiply(divide(X5,X4),divide(divide(divide(X4,X5),X7),X6)),X))),divide(X2,X3)) = multiply(divide(X9,X8),divide(divide(divide(X8,X9),X7),X6)),
inference(transitivity,[status(thm)],[c268,c269]) ).
cnf(c271,plain,
multiply(divide(X2,X),divide(divide(divide(X,X2),X4),X3)) = multiply(divide(X6,X5),divide(divide(divide(X5,X6),X4),X3)),
inference(transitivity,[status(thm)],[c170,c270]) ).
cnf(c272,plain,
multiply(divide(X2,X),divide(divide(divide(X,X2),inverse(X4)),X3)) = multiply(divide(X6,X5),divide(divide(divide(X5,X6),inverse(X4)),X3)),
inference(substitution,[status(thm)],[c271]) ).
cnf(c273,plain,
multiply(divide(X2,X3),X) = divide(divide(X2,X3),inverse(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c274,plain,
divide(divide(X2,X3),inverse(X)) = multiply(divide(X2,X3),X),
inference(symmetry,[status(thm)],[c273]) ).
cnf(c275,plain,
divide(divide(divide(X3,X4),inverse(X2)),X) = divide(multiply(divide(X3,X4),X2),X),
inference(congruence,[status(thm)],[c274]) ).
cnf(c276,plain,
multiply(divide(X4,X3),divide(divide(divide(X3,X4),inverse(X2)),X)) = multiply(divide(X4,X3),divide(multiply(divide(X3,X4),X2),X)),
inference(congruence,[status(thm)],[c275]) ).
cnf(c277,plain,
multiply(divide(X2,X),divide(divide(divide(X,X2),inverse(X4)),X3)) = multiply(divide(X6,X5),divide(multiply(divide(X5,X6),X4),X3)),
inference(transitivity,[status(thm)],[c272,c276]) ).
cnf(c278,plain,
multiply(divide(X2,X),divide(multiply(divide(X,X2),X4),X3)) = multiply(divide(X6,X5),divide(multiply(divide(X5,X6),X4),X3)),
inference(transitivity,[status(thm)],[c168,c277]) ).
cnf(c279,plain,
multiply(divide(X5,X4),divide(multiply(divide(X4,X5),X3),multiply(divide(X2,X),X3))) = multiply(divide(X7,X6),divide(multiply(divide(X6,X7),X3),multiply(divide(X2,X),X3))),
inference(substitution,[status(thm)],[c278]) ).
cnf(c280,plain,
divide(multiply(divide(X5,X4),divide(multiply(divide(X4,X5),X3),multiply(divide(X2,X),X3))),divide(X,X2)) = divide(multiply(divide(X7,X6),divide(multiply(divide(X6,X7),X3),multiply(divide(X2,X),X3))),divide(X,X2)),
inference(congruence,[status(thm)],[c279]) ).
cnf(c281,plain,
inverse(divide(multiply(divide(X5,X4),divide(multiply(divide(X4,X5),X3),multiply(divide(X2,X),X3))),divide(X,X2))) = inverse(divide(multiply(divide(X7,X6),divide(multiply(divide(X6,X7),X3),multiply(divide(X2,X),X3))),divide(X,X2))),
inference(congruence,[status(thm)],[c280]) ).
cnf(c282,plain,
inverse(divide(multiply(divide(X6,X5),divide(multiply(divide(X5,X6),X3),multiply(divide(X2,X),X3))),divide(X,X2))) = inverse(divide(multiply(divide(X6,X5),X4),multiply(divide(X6,X5),X4))),
inference(substitution,[status(thm)],[c163]) ).
cnf(c283,plain,
inverse(divide(multiply(divide(X5,X4),divide(multiply(divide(X4,X5),X3),multiply(divide(X2,X),X3))),divide(X,X2))) = inverse(divide(multiply(divide(X8,X7),X6),multiply(divide(X8,X7),X6))),
inference(transitivity,[status(thm)],[c281,c282]) ).
cnf(c284,plain,
inverse(divide(multiply(divide(X3,X2),X),multiply(divide(X3,X2),X))) = inverse(divide(multiply(divide(X6,X5),X4),multiply(divide(X6,X5),X4))),
inference(transitivity,[status(thm)],[c165,c283]) ).
cnf(c285,plain,
inverse(divide(multiply(divide(inverse(divide(divide(divide(X8,X7),divide(X9,X10)),X12)),divide(X7,X8)),X6),multiply(divide(inverse(divide(divide(divide(X8,X7),divide(X9,X10)),X12)),divide(X7,X8)),X6))) = inverse(divide(multiply(divide(inverse(divide(divide(divide(X5,X4),divide(X3,X2)),X11)),divide(X4,X5)),X),multiply(divide(inverse(divide(divide(divide(X5,X4),divide(X3,X2)),X11)),divide(X4,X5)),X))),
inference(substitution,[status(thm)],[c284]) ).
cnf(c286,plain,
inverse(divide(multiply(divide(inverse(divide(divide(divide(X5,X4),divide(X3,X2)),X11)),divide(X4,X5)),X),multiply(divide(inverse(divide(divide(divide(X5,X4),divide(X3,X2)),X11)),divide(X4,X5)),X))) = inverse(divide(multiply(divide(inverse(divide(divide(divide(X8,X7),divide(X9,X10)),X12)),divide(X7,X8)),X6),multiply(divide(inverse(divide(divide(divide(X8,X7),divide(X9,X10)),X12)),divide(X7,X8)),X6))),
inference(symmetry,[status(thm)],[c285]) ).
cnf(c287,plain,
divide(inverse(divide(divide(divide(X3,X2),divide(X4,X5)),X6)),divide(X2,X3)) = inverse(divide(divide(divide(X5,X4),X),divide(X6,X))),
inference(substitution,[status(thm)],[c17]) ).
cnf(c288,plain,
multiply(divide(inverse(divide(divide(divide(X4,X3),divide(X5,X6)),X7)),divide(X3,X4)),X2) = multiply(inverse(divide(divide(divide(X6,X5),X),divide(X7,X))),X2),
inference(congruence,[status(thm)],[c287]) ).
cnf(c289,plain,
divide(multiply(divide(inverse(divide(divide(divide(X4,X3),divide(X5,X6)),X7)),divide(X3,X4)),X2),multiply(divide(inverse(divide(divide(divide(X4,X3),divide(X5,X6)),X7)),divide(X3,X4)),X2)) = divide(multiply(inverse(divide(divide(divide(X6,X5),X),divide(X7,X))),X2),multiply(divide(inverse(divide(divide(divide(X4,X3),divide(X5,X6)),X7)),divide(X3,X4)),X2)),
inference(congruence,[status(thm)],[c288]) ).
cnf(c290,plain,
inverse(divide(multiply(divide(inverse(divide(divide(divide(X4,X3),divide(X5,X6)),X7)),divide(X3,X4)),X2),multiply(divide(inverse(divide(divide(divide(X4,X3),divide(X5,X6)),X7)),divide(X3,X4)),X2))) = inverse(divide(multiply(inverse(divide(divide(divide(X6,X5),X),divide(X7,X))),X2),multiply(divide(inverse(divide(divide(divide(X4,X3),divide(X5,X6)),X7)),divide(X3,X4)),X2))),
inference(congruence,[status(thm)],[c289]) ).
cnf(c291,plain,
inverse(divide(divide(divide(X4,X3),X),divide(X5,X))) = inverse(divide(multiply(divide(X4,X3),X2),multiply(X5,X2))),
inference(substitution,[status(thm)],[c60]) ).
cnf(c292,plain,
multiply(inverse(divide(divide(divide(X5,X4),X),divide(X6,X))),X2) = multiply(inverse(divide(multiply(divide(X5,X4),X3),multiply(X6,X3))),X2),
inference(congruence,[status(thm)],[c291]) ).
cnf(c293,plain,
divide(multiply(inverse(divide(divide(divide(X7,X6),X),divide(X8,X))),X2),multiply(divide(inverse(divide(divide(divide(X5,X4),divide(X6,X7)),X8)),divide(X4,X5)),X2)) = divide(multiply(inverse(divide(multiply(divide(X7,X6),X3),multiply(X8,X3))),X2),multiply(divide(inverse(divide(divide(divide(X5,X4),divide(X6,X7)),X8)),divide(X4,X5)),X2)),
inference(congruence,[status(thm)],[c292]) ).
cnf(c294,plain,
inverse(divide(multiply(inverse(divide(divide(divide(X7,X6),X),divide(X8,X))),X2),multiply(divide(inverse(divide(divide(divide(X5,X4),divide(X6,X7)),X8)),divide(X4,X5)),X2))) = inverse(divide(multiply(inverse(divide(multiply(divide(X7,X6),X3),multiply(X8,X3))),X2),multiply(divide(inverse(divide(divide(divide(X5,X4),divide(X6,X7)),X8)),divide(X4,X5)),X2))),
inference(congruence,[status(thm)],[c293]) ).
cnf(c295,plain,
inverse(divide(multiply(inverse(divide(multiply(divide(X6,X5),X2),multiply(X7,X2))),X),multiply(divide(inverse(divide(divide(divide(X4,X3),divide(X5,X6)),X7)),divide(X3,X4)),X))) = inverse(divide(X7,divide(divide(inverse(divide(divide(divide(X4,X3),divide(X5,X6)),X7)),divide(X3,X4)),divide(X5,X6)))),
inference(substitution,[status(thm)],[c76]) ).
cnf(c296,plain,
divide(inverse(divide(divide(divide(X2,X),divide(X4,X5)),X6)),divide(X,X2)) = inverse(divide(divide(divide(X5,X4),X3),divide(X6,X3))),
inference(substitution,[status(thm)],[c17]) ).
cnf(c297,plain,
divide(divide(inverse(divide(divide(divide(X2,X),divide(X4,X5)),X6)),divide(X,X2)),divide(X4,X5)) = divide(inverse(divide(divide(divide(X5,X4),X3),divide(X6,X3))),divide(X4,X5)),
inference(congruence,[status(thm)],[c296]) ).
cnf(c298,plain,
divide(X6,divide(divide(inverse(divide(divide(divide(X2,X),divide(X4,X5)),X6)),divide(X,X2)),divide(X4,X5))) = divide(X6,divide(inverse(divide(divide(divide(X5,X4),X3),divide(X6,X3))),divide(X4,X5))),
inference(congruence,[status(thm)],[c297]) ).
cnf(c299,plain,
inverse(divide(X6,divide(divide(inverse(divide(divide(divide(X2,X),divide(X4,X5)),X6)),divide(X,X2)),divide(X4,X5)))) = inverse(divide(X6,divide(inverse(divide(divide(divide(X5,X4),X3),divide(X6,X3))),divide(X4,X5)))),
inference(congruence,[status(thm)],[c298]) ).
cnf(c300,plain,
divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3)) = X4,
inference(substitution,[status(thm)],[c6]) ).
cnf(c301,plain,
divide(X4,divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3))) = divide(X4,X4),
inference(congruence,[status(thm)],[c300]) ).
cnf(c302,plain,
inverse(divide(X4,divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3)))) = inverse(divide(X4,X4)),
inference(congruence,[status(thm)],[c301]) ).
cnf(c303,plain,
inverse(divide(X5,divide(divide(inverse(divide(divide(divide(X2,X),divide(X3,X4)),X5)),divide(X,X2)),divide(X3,X4)))) = inverse(divide(X5,X5)),
inference(transitivity,[status(thm)],[c299,c302]) ).
cnf(c304,plain,
inverse(divide(multiply(inverse(divide(multiply(divide(X6,X5),X2),multiply(X7,X2))),X),multiply(divide(inverse(divide(divide(divide(X4,X3),divide(X5,X6)),X7)),divide(X3,X4)),X))) = inverse(divide(X7,X7)),
inference(transitivity,[status(thm)],[c295,c303]) ).
cnf(c305,plain,
inverse(divide(multiply(inverse(divide(divide(divide(X6,X5),X),divide(X7,X))),X2),multiply(divide(inverse(divide(divide(divide(X4,X3),divide(X5,X6)),X7)),divide(X3,X4)),X2))) = inverse(divide(X7,X7)),
inference(transitivity,[status(thm)],[c294,c304]) ).
cnf(c306,plain,
inverse(divide(multiply(divide(inverse(divide(divide(divide(X3,X2),divide(X4,X5)),X6)),divide(X2,X3)),X),multiply(divide(inverse(divide(divide(divide(X3,X2),divide(X4,X5)),X6)),divide(X2,X3)),X))) = inverse(divide(X6,X6)),
inference(transitivity,[status(thm)],[c290,c305]) ).
cnf(c307,plain,
inverse(divide(multiply(divide(inverse(divide(divide(divide(X5,X4),divide(X3,X2)),X6)),divide(X4,X5)),X),multiply(divide(inverse(divide(divide(divide(X5,X4),divide(X3,X2)),X6)),divide(X4,X5)),X))) = inverse(divide(X7,X7)),
inference(transitivity,[status(thm)],[c286,c306]) ).
cnf(c308,plain,
inverse(divide(multiply(inverse(divide(divide(divide(X3,X4),X),divide(X7,X))),X2),multiply(divide(inverse(divide(divide(divide(X6,X5),divide(X4,X3)),X7)),divide(X5,X6)),X2))) = inverse(divide(X8,X8)),
inference(transitivity,[status(thm)],[c88,c307]) ).
cnf(c309,plain,
inverse(divide(multiply(inverse(divide(multiply(divide(X3,X4),X),multiply(X7,X))),X2),multiply(divide(inverse(divide(divide(divide(X6,X5),divide(X4,X3)),X7)),divide(X5,X6)),X2))) = inverse(divide(X8,X8)),
inference(transitivity,[status(thm)],[c83,c308]) ).
cnf(c310,plain,
inverse(divide(X5,divide(divide(inverse(divide(divide(divide(X4,X3),divide(X2,X)),X5)),divide(X3,X4)),divide(X2,X)))) = inverse(divide(X6,X6)),
inference(transitivity,[status(thm)],[c78,c309]) ).
cnf(c311,plain,
inverse(divide(X4,divide(inverse(divide(divide(divide(X2,X3),X),divide(X4,X))),divide(X3,X2)))) = inverse(divide(X5,X5)),
inference(transitivity,[status(thm)],[c22,c310]) ).
cnf(c312,plain,
inverse(divide(X,X)) = inverse(divide(X2,X2)),
inference(transitivity,[status(thm)],[c10,c311]) ).
cnf(c313,plain,
inverse(divide(X2,X2)) = inverse(divide(inverse(X),inverse(X))),
inference(substitution,[status(thm)],[c312]) ).
cnf(c314,plain,
multiply(inverse(X),X) = divide(inverse(X),inverse(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c315,plain,
divide(inverse(X),inverse(X)) = multiply(inverse(X),X),
inference(symmetry,[status(thm)],[c314]) ).
cnf(c316,plain,
inverse(divide(inverse(X),inverse(X))) = inverse(multiply(inverse(X),X)),
inference(congruence,[status(thm)],[c315]) ).
cnf(c317,plain,
inverse(divide(X2,X2)) = inverse(multiply(inverse(X),X)),
inference(transitivity,[status(thm)],[c313,c316]) ).
cnf(c318,plain,
inverse(divide(divide(divide(X2,X3),X),divide(divide(X2,X3),X))) = inverse(multiply(inverse(X4),X4)),
inference(substitution,[status(thm)],[c317]) ).
cnf(c319,plain,
inverse(multiply(inverse(X4),X4)) = inverse(divide(divide(divide(X2,X3),X),divide(divide(X2,X3),X))),
inference(symmetry,[status(thm)],[c318]) ).
cnf(c320,plain,
divide(inverse(multiply(inverse(X4),X4)),divide(X3,X2)) = divide(inverse(divide(divide(divide(X2,X3),X),divide(divide(X2,X3),X))),divide(X3,X2)),
inference(congruence,[status(thm)],[c319]) ).
cnf(c321,plain,
divide(inverse(divide(divide(divide(X2,X3),X),divide(divide(X2,X3),X))),divide(X3,X2)) = divide(X2,X3),
inference(substitution,[status(thm)],[c6]) ).
cnf(c322,plain,
divide(inverse(multiply(inverse(X3),X3)),divide(X2,X)) = divide(X,X2),
inference(transitivity,[status(thm)],[c320,c321]) ).
cnf(c323,plain,
divide(inverse(multiply(inverse(X),X)),divide(X2,X3)) = divide(X3,X2),
inference(substitution,[status(thm)],[c322]) ).
cnf(c324,plain,
divide(X3,X2) = divide(inverse(multiply(inverse(X),X)),divide(X2,X3)),
inference(symmetry,[status(thm)],[c323]) ).
cnf(c325,plain,
inverse(divide(X3,X2)) = inverse(divide(inverse(multiply(inverse(X),X)),divide(X2,X3))),
inference(congruence,[status(thm)],[c324]) ).
cnf(c326,plain,
inverse(divide(X,X)) = inverse(multiply(inverse(X2),X2)),
inference(substitution,[status(thm)],[c317]) ).
cnf(c327,plain,
inverse(multiply(inverse(X2),X2)) = inverse(divide(X,X)),
inference(symmetry,[status(thm)],[c326]) ).
cnf(c328,plain,
divide(inverse(multiply(inverse(X3),X3)),X2) = divide(inverse(divide(X,X)),X2),
inference(congruence,[status(thm)],[c327]) ).
cnf(c329,plain,
inverse(divide(inverse(multiply(inverse(X3),X3)),X2)) = inverse(divide(inverse(divide(X,X)),X2)),
inference(congruence,[status(thm)],[c328]) ).
cnf(c330,plain,
inverse(divide(multiply(X4,X3),multiply(X2,X3))) = inverse(divide(multiply(X4,multiply(inverse(X),X)),multiply(X2,multiply(inverse(X),X)))),
inference(substitution,[status(thm)],[c160]) ).
cnf(c331,plain,
divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3)) = X4,
inference(substitution,[status(thm)],[c6]) ).
cnf(c332,plain,
X4 = divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3)),
inference(symmetry,[status(thm)],[c331]) ).
cnf(c333,plain,
multiply(X5,multiply(inverse(X4),X4)) = multiply(divide(inverse(divide(divide(divide(X3,X2),X),divide(X5,X))),divide(X2,X3)),multiply(inverse(X4),X4)),
inference(congruence,[status(thm)],[c332]) ).
cnf(c334,plain,
multiply(divide(X3,X2),multiply(inverse(X),X)) = divide(divide(X3,X2),inverse(multiply(inverse(X),X))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c335,plain,
divide(inverse(multiply(inverse(X),X)),divide(inverse(multiply(inverse(X2),X2)),divide(X4,X3))) = divide(divide(X4,X3),inverse(multiply(inverse(X2),X2))),
inference(substitution,[status(thm)],[c322]) ).
cnf(c336,plain,
divide(divide(X4,X3),inverse(multiply(inverse(X2),X2))) = divide(inverse(multiply(inverse(X),X)),divide(inverse(multiply(inverse(X2),X2)),divide(X4,X3))),
inference(symmetry,[status(thm)],[c335]) ).
cnf(c337,plain,
divide(inverse(multiply(inverse(X),X)),divide(X3,X2)) = divide(X2,X3),
inference(substitution,[status(thm)],[c322]) ).
cnf(c338,plain,
divide(inverse(multiply(inverse(X),X)),divide(inverse(multiply(inverse(X2),X2)),divide(X4,X3))) = divide(inverse(multiply(inverse(X),X)),divide(X3,X4)),
inference(congruence,[status(thm)],[c337]) ).
cnf(c339,plain,
divide(inverse(multiply(inverse(X),X)),divide(X2,X3)) = divide(X3,X2),
inference(substitution,[status(thm)],[c322]) ).
cnf(c340,plain,
divide(inverse(multiply(inverse(X),X)),divide(inverse(multiply(inverse(X2),X2)),divide(X4,X3))) = divide(X4,X3),
inference(transitivity,[status(thm)],[c338,c339]) ).
cnf(c341,plain,
divide(divide(X3,X2),inverse(multiply(inverse(X),X))) = divide(X3,X2),
inference(transitivity,[status(thm)],[c336,c340]) ).
cnf(c342,plain,
multiply(divide(X3,X2),multiply(inverse(X),X)) = divide(X3,X2),
inference(transitivity,[status(thm)],[c334,c341]) ).
cnf(c343,plain,
multiply(divide(inverse(divide(divide(divide(X3,X2),X),divide(X5,X))),divide(X2,X3)),multiply(inverse(X4),X4)) = divide(inverse(divide(divide(divide(X3,X2),X),divide(X5,X))),divide(X2,X3)),
inference(substitution,[status(thm)],[c342]) ).
cnf(c344,plain,
divide(inverse(divide(divide(divide(X3,X2),X),divide(X4,X))),divide(X2,X3)) = X4,
inference(substitution,[status(thm)],[c6]) ).
cnf(c345,plain,
multiply(divide(inverse(divide(divide(divide(X3,X2),X),divide(X5,X))),divide(X2,X3)),multiply(inverse(X4),X4)) = X5,
inference(transitivity,[status(thm)],[c343,c344]) ).
cnf(c346,plain,
multiply(X2,multiply(inverse(X),X)) = X2,
inference(transitivity,[status(thm)],[c333,c345]) ).
cnf(c347,plain,
divide(multiply(X3,multiply(inverse(X),X)),multiply(X2,multiply(inverse(X),X))) = divide(X3,multiply(X2,multiply(inverse(X),X))),
inference(congruence,[status(thm)],[c346]) ).
cnf(c348,plain,
inverse(divide(multiply(X3,multiply(inverse(X),X)),multiply(X2,multiply(inverse(X),X)))) = inverse(divide(X3,multiply(X2,multiply(inverse(X),X)))),
inference(congruence,[status(thm)],[c347]) ).
cnf(c349,plain,
divide(X3,multiply(X2,multiply(inverse(X),X))) = divide(X3,X2),
inference(congruence,[status(thm)],[c346]) ).
cnf(c350,plain,
inverse(divide(X3,multiply(X2,multiply(inverse(X),X)))) = inverse(divide(X3,X2)),
inference(congruence,[status(thm)],[c349]) ).
cnf(c351,plain,
inverse(divide(multiply(X3,multiply(inverse(X),X)),multiply(X2,multiply(inverse(X),X)))) = inverse(divide(X3,X2)),
inference(transitivity,[status(thm)],[c348,c350]) ).
cnf(c352,plain,
inverse(divide(multiply(X3,X2),multiply(X,X2))) = inverse(divide(X3,X)),
inference(transitivity,[status(thm)],[c330,c351]) ).
cnf(c353,plain,
inverse(divide(multiply(X2,X),multiply(X2,X))) = inverse(divide(X2,X2)),
inference(substitution,[status(thm)],[c352]) ).
cnf(c354,plain,
inverse(divide(X2,X2)) = inverse(divide(multiply(X2,X),multiply(X2,X))),
inference(symmetry,[status(thm)],[c353]) ).
cnf(c355,plain,
divide(inverse(divide(X2,X2)),X3) = divide(inverse(divide(multiply(X2,X),multiply(X2,X))),X3),
inference(congruence,[status(thm)],[c354]) ).
cnf(c356,plain,
inverse(divide(inverse(divide(X2,X2)),X3)) = inverse(divide(inverse(divide(multiply(X2,X),multiply(X2,X))),X3)),
inference(congruence,[status(thm)],[c355]) ).
cnf(c357,plain,
inverse(divide(multiply(inverse(divide(multiply(X3,X2),multiply(X3,X2))),X),multiply(X4,X))) = inverse(divide(inverse(divide(multiply(X3,X2),multiply(X3,X2))),X4)),
inference(substitution,[status(thm)],[c352]) ).
cnf(c358,plain,
inverse(divide(inverse(divide(multiply(X3,X2),multiply(X3,X2))),X4)) = inverse(divide(multiply(inverse(divide(multiply(X3,X2),multiply(X3,X2))),X),multiply(X4,X))),
inference(symmetry,[status(thm)],[c357]) ).
cnf(c359,plain,
multiply(divide(X,X2),X3) = divide(divide(X,X2),inverse(X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c360,plain,
divide(multiply(divide(X,X2),X4),X3) = divide(divide(divide(X,X2),inverse(X4)),X3),
inference(congruence,[status(thm)],[c359]) ).
cnf(c361,plain,
multiply(divide(X2,X),divide(multiply(divide(X,X2),X4),X3)) = multiply(divide(X2,X),divide(divide(divide(X,X2),inverse(X4)),X3)),
inference(congruence,[status(thm)],[c360]) ).
cnf(c362,plain,
divide(X5,multiply(divide(X2,X),divide(multiply(divide(X,X2),X4),X3))) = divide(X5,multiply(divide(X2,X),divide(divide(divide(X,X2),inverse(X4)),X3))),
inference(congruence,[status(thm)],[c361]) ).
cnf(c363,plain,
divide(X7,multiply(divide(X2,X),divide(divide(divide(X,X2),inverse(X4)),X3))) = divide(X7,multiply(divide(X6,X5),divide(divide(divide(X5,X6),inverse(X4)),X3))),
inference(substitution,[status(thm)],[c257]) ).
cnf(c364,plain,
multiply(divide(X2,X3),X) = divide(divide(X2,X3),inverse(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c365,plain,
divide(divide(X2,X3),inverse(X)) = multiply(divide(X2,X3),X),
inference(symmetry,[status(thm)],[c364]) ).
cnf(c366,plain,
divide(divide(divide(X3,X4),inverse(X2)),X) = divide(multiply(divide(X3,X4),X2),X),
inference(congruence,[status(thm)],[c365]) ).
cnf(c367,plain,
multiply(divide(X4,X3),divide(divide(divide(X3,X4),inverse(X2)),X)) = multiply(divide(X4,X3),divide(multiply(divide(X3,X4),X2),X)),
inference(congruence,[status(thm)],[c366]) ).
cnf(c368,plain,
divide(X5,multiply(divide(X4,X3),divide(divide(divide(X3,X4),inverse(X2)),X))) = divide(X5,multiply(divide(X4,X3),divide(multiply(divide(X3,X4),X2),X))),
inference(congruence,[status(thm)],[c367]) ).
cnf(c369,plain,
divide(X7,multiply(divide(X2,X),divide(divide(divide(X,X2),inverse(X4)),X3))) = divide(X7,multiply(divide(X6,X5),divide(multiply(divide(X5,X6),X4),X3))),
inference(transitivity,[status(thm)],[c363,c368]) ).
cnf(c370,plain,
divide(X7,multiply(divide(X2,X),divide(multiply(divide(X,X2),X4),X3))) = divide(X7,multiply(divide(X6,X5),divide(multiply(divide(X5,X6),X4),X3))),
inference(transitivity,[status(thm)],[c362,c369]) ).
cnf(c371,plain,
divide(X7,multiply(divide(X6,X5),divide(multiply(divide(X5,X6),X4),X3))) = divide(X7,multiply(divide(X2,inverse(X)),divide(multiply(divide(inverse(X),X2),X4),X3))),
inference(substitution,[status(thm)],[c370]) ).
cnf(c372,plain,
multiply(X2,X) = divide(X2,inverse(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c373,plain,
divide(X2,inverse(X)) = multiply(X2,X),
inference(symmetry,[status(thm)],[c372]) ).
cnf(c374,plain,
multiply(divide(X2,inverse(X)),divide(multiply(divide(inverse(X),X2),X4),X3)) = multiply(multiply(X2,X),divide(multiply(divide(inverse(X),X2),X4),X3)),
inference(congruence,[status(thm)],[c373]) ).
cnf(c375,plain,
divide(X5,multiply(divide(X2,inverse(X)),divide(multiply(divide(inverse(X),X2),X4),X3))) = divide(X5,multiply(multiply(X2,X),divide(multiply(divide(inverse(X),X2),X4),X3))),
inference(congruence,[status(thm)],[c374]) ).
cnf(c376,plain,
divide(X7,multiply(divide(X6,X5),divide(multiply(divide(X5,X6),X4),X3))) = divide(X7,multiply(multiply(X2,X),divide(multiply(divide(inverse(X),X2),X4),X3))),
inference(transitivity,[status(thm)],[c371,c375]) ).
cnf(c377,plain,
divide(X7,multiply(divide(X2,X),divide(multiply(divide(X,X2),X4),X3))) = divide(X7,multiply(multiply(X6,X5),divide(multiply(divide(inverse(X5),X6),X4),X3))),
inference(substitution,[status(thm)],[c376]) ).
cnf(c378,plain,
divide(X7,multiply(multiply(X6,X5),divide(multiply(divide(inverse(X5),X6),X4),X3))) = divide(X7,multiply(divide(X2,X),divide(multiply(divide(X,X2),X4),X3))),
inference(symmetry,[status(thm)],[c377]) ).
cnf(c379,plain,
divide(X8,divide(X7,multiply(multiply(X6,X5),divide(multiply(divide(inverse(X5),X6),X4),X3)))) = divide(X8,divide(X7,multiply(divide(X2,X),divide(multiply(divide(X,X2),X4),X3)))),
inference(congruence,[status(thm)],[c378]) ).
cnf(c380,plain,
inverse(divide(X8,divide(X7,multiply(multiply(X6,X5),divide(multiply(divide(inverse(X5),X6),X4),X3))))) = inverse(divide(X8,divide(X7,multiply(divide(X2,X),divide(multiply(divide(X,X2),X4),X3))))),
inference(congruence,[status(thm)],[c379]) ).
cnf(c381,plain,
multiply(divide(X,X2),X3) = divide(divide(X,X2),inverse(X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c382,plain,
divide(multiply(divide(X,X2),X3),X4) = divide(divide(divide(X,X2),inverse(X3)),X4),
inference(congruence,[status(thm)],[c381]) ).
cnf(c383,plain,
multiply(divide(X2,X),divide(multiply(divide(X,X2),X3),X4)) = multiply(divide(X2,X),divide(divide(divide(X,X2),inverse(X3)),X4)),
inference(congruence,[status(thm)],[c382]) ).
cnf(c384,plain,
divide(inverse(divide(X5,multiply(X4,X3))),multiply(divide(X2,X),divide(multiply(divide(X,X2),X3),X5))) = divide(inverse(divide(X5,multiply(X4,X3))),multiply(divide(X2,X),divide(divide(divide(X,X2),inverse(X3)),X5))),
inference(congruence,[status(thm)],[c383]) ).
cnf(c385,plain,
multiply(X2,X) = divide(X2,inverse(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c386,plain,
divide(X3,multiply(X2,X)) = divide(X3,divide(X2,inverse(X))),
inference(congruence,[status(thm)],[c385]) ).
cnf(c387,plain,
inverse(divide(X3,multiply(X2,X))) = inverse(divide(X3,divide(X2,inverse(X)))),
inference(congruence,[status(thm)],[c386]) ).
cnf(c388,plain,
divide(inverse(divide(X5,multiply(X4,X3))),multiply(divide(X2,X),divide(divide(divide(X,X2),inverse(X3)),X5))) = divide(inverse(divide(X5,divide(X4,inverse(X3)))),multiply(divide(X2,X),divide(divide(divide(X,X2),inverse(X3)),X5))),
inference(congruence,[status(thm)],[c387]) ).
cnf(c389,plain,
divide(inverse(divide(X5,divide(X4,inverse(X3)))),multiply(divide(X2,X),divide(divide(divide(X,X2),inverse(X3)),X5))) = X4,
inference(substitution,[status(thm)],[c255]) ).
cnf(c390,plain,
divide(inverse(divide(X5,multiply(X4,X3))),multiply(divide(X2,X),divide(divide(divide(X,X2),inverse(X3)),X5))) = X4,
inference(transitivity,[status(thm)],[c388,c389]) ).
cnf(c391,plain,
divide(inverse(divide(X5,multiply(X4,X3))),multiply(divide(X2,X),divide(multiply(divide(X,X2),X3),X5))) = X4,
inference(transitivity,[status(thm)],[c384,c390]) ).
cnf(c392,plain,
divide(inverse(divide(X3,multiply(X5,X4))),multiply(divide(X2,X),divide(multiply(divide(X,X2),X4),X3))) = X5,
inference(substitution,[status(thm)],[c391]) ).
cnf(c393,plain,
X5 = divide(inverse(divide(X3,multiply(X5,X4))),multiply(divide(X2,X),divide(multiply(divide(X,X2),X4),X3))),
inference(symmetry,[status(thm)],[c392]) ).
cnf(c394,plain,
divide(X6,divide(X5,multiply(divide(X2,X),divide(multiply(divide(X,X2),X4),X3)))) = divide(divide(inverse(divide(X3,multiply(X6,X4))),multiply(divide(X2,X),divide(multiply(divide(X,X2),X4),X3))),divide(X5,multiply(divide(X2,X),divide(multiply(divide(X,X2),X4),X3)))),
inference(congruence,[status(thm)],[c393]) ).
cnf(c395,plain,
inverse(divide(X6,divide(X5,multiply(divide(X2,X),divide(multiply(divide(X,X2),X4),X3))))) = inverse(divide(divide(inverse(divide(X3,multiply(X6,X4))),multiply(divide(X2,X),divide(multiply(divide(X,X2),X4),X3))),divide(X5,multiply(divide(X2,X),divide(multiply(divide(X,X2),X4),X3))))),
inference(congruence,[status(thm)],[c394]) ).
cnf(c396,plain,
inverse(divide(divide(inverse(divide(X4,multiply(X7,X5))),multiply(divide(X2,X),divide(multiply(divide(X,X2),X5),X4))),divide(X6,multiply(divide(X2,X),divide(multiply(divide(X,X2),X5),X4))))) = inverse(divide(multiply(inverse(divide(X4,multiply(X7,X5))),X3),multiply(X6,X3))),
inference(substitution,[status(thm)],[c60]) ).
cnf(c397,plain,
inverse(divide(X7,divide(X6,multiply(divide(X2,X),divide(multiply(divide(X,X2),X5),X4))))) = inverse(divide(multiply(inverse(divide(X4,multiply(X7,X5))),X3),multiply(X6,X3))),
inference(transitivity,[status(thm)],[c395,c396]) ).
cnf(c398,plain,
inverse(divide(X7,divide(X6,multiply(multiply(X5,X4),divide(multiply(divide(inverse(X4),X5),X3),X2))))) = inverse(divide(multiply(inverse(divide(X2,multiply(X7,X3))),X),multiply(X6,X))),
inference(transitivity,[status(thm)],[c380,c397]) ).
cnf(c399,plain,
inverse(divide(X5,divide(X6,multiply(multiply(X2,X),divide(multiply(divide(inverse(X),X2),X4),multiply(X5,X4)))))) = inverse(divide(multiply(inverse(divide(multiply(X5,X4),multiply(X5,X4))),X3),multiply(X6,X3))),
inference(substitution,[status(thm)],[c398]) ).
cnf(c400,plain,
inverse(divide(multiply(inverse(divide(multiply(X5,X4),multiply(X5,X4))),X3),multiply(X6,X3))) = inverse(divide(X5,divide(X6,multiply(multiply(X2,X),divide(multiply(divide(inverse(X),X2),X4),multiply(X5,X4)))))),
inference(symmetry,[status(thm)],[c399]) ).
cnf(c401,plain,
divide(inverse(divide(divide(divide(inverse(X2),X3),X),divide(X4,X))),multiply(X3,X2)) = X4,
inference(substitution,[status(thm)],[c246]) ).
cnf(c402,plain,
X4 = divide(inverse(divide(divide(divide(inverse(X2),X3),X),divide(X4,X))),multiply(X3,X2)),
inference(symmetry,[status(thm)],[c401]) ).
cnf(c403,plain,
multiply(X4,X5) = multiply(divide(inverse(divide(divide(divide(inverse(X2),X3),X),divide(X4,X))),multiply(X3,X2)),X5),
inference(congruence,[status(thm)],[c402]) ).
cnf(c404,plain,
divide(multiply(divide(X6,X7),X5),multiply(X4,X5)) = divide(multiply(divide(X6,X7),X5),multiply(divide(inverse(divide(divide(divide(inverse(X2),X3),X),divide(X4,X))),multiply(X3,X2)),X5)),
inference(congruence,[status(thm)],[c403]) ).
cnf(c405,plain,
multiply(divide(X7,X6),divide(multiply(divide(X6,X7),X5),multiply(X4,X5))) = multiply(divide(X7,X6),divide(multiply(divide(X6,X7),X5),multiply(divide(inverse(divide(divide(divide(inverse(X2),X3),X),divide(X4,X))),multiply(X3,X2)),X5))),
inference(congruence,[status(thm)],[c404]) ).
cnf(c406,plain,
divide(X8,multiply(divide(X7,X6),divide(multiply(divide(X6,X7),X5),multiply(X4,X5)))) = divide(X8,multiply(divide(X7,X6),divide(multiply(divide(X6,X7),X5),multiply(divide(inverse(divide(divide(divide(inverse(X2),X3),X),divide(X4,X))),multiply(X3,X2)),X5)))),
inference(congruence,[status(thm)],[c405]) ).
cnf(c407,plain,
divide(X8,multiply(divide(X7,X6),divide(multiply(divide(X6,X7),X5),multiply(divide(inverse(divide(divide(divide(inverse(X2),X3),X),divide(X4,X))),multiply(X3,X2)),X5)))) = divide(X8,divide(multiply(X3,X2),inverse(divide(divide(divide(inverse(X2),X3),X),divide(X4,X))))),
inference(substitution,[status(thm)],[c137]) ).
cnf(c408,plain,
multiply(multiply(X3,X2),divide(divide(divide(inverse(X2),X3),X),divide(X4,X))) = divide(multiply(X3,X2),inverse(divide(divide(divide(inverse(X2),X3),X),divide(X4,X)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c409,plain,
divide(multiply(X3,X2),inverse(divide(divide(divide(inverse(X2),X3),X),divide(X4,X)))) = multiply(multiply(X3,X2),divide(divide(divide(inverse(X2),X3),X),divide(X4,X))),
inference(symmetry,[status(thm)],[c408]) ).
cnf(c410,plain,
divide(X5,divide(multiply(X3,X2),inverse(divide(divide(divide(inverse(X2),X3),X),divide(X4,X))))) = divide(X5,multiply(multiply(X3,X2),divide(divide(divide(inverse(X2),X3),X),divide(X4,X)))),
inference(congruence,[status(thm)],[c409]) ).
cnf(c411,plain,
multiply(multiply(X4,X3),divide(divide(divide(inverse(X3),X4),X),divide(X5,X))) = multiply(multiply(X4,X3),divide(multiply(divide(inverse(X3),X4),X2),multiply(X5,X2))),
inference(substitution,[status(thm)],[c107]) ).
cnf(c412,plain,
divide(X6,multiply(multiply(X4,X3),divide(divide(divide(inverse(X3),X4),X),divide(X5,X)))) = divide(X6,multiply(multiply(X4,X3),divide(multiply(divide(inverse(X3),X4),X2),multiply(X5,X2)))),
inference(congruence,[status(thm)],[c411]) ).
cnf(c413,plain,
divide(X6,divide(multiply(X4,X3),inverse(divide(divide(divide(inverse(X3),X4),X),divide(X5,X))))) = divide(X6,multiply(multiply(X4,X3),divide(multiply(divide(inverse(X3),X4),X2),multiply(X5,X2)))),
inference(transitivity,[status(thm)],[c410,c412]) ).
cnf(c414,plain,
divide(X9,multiply(divide(X8,X7),divide(multiply(divide(X7,X8),X6),multiply(divide(inverse(divide(divide(divide(inverse(X3),X4),X),divide(X5,X))),multiply(X4,X3)),X6)))) = divide(X9,multiply(multiply(X4,X3),divide(multiply(divide(inverse(X3),X4),X2),multiply(X5,X2)))),
inference(transitivity,[status(thm)],[c407,c413]) ).
cnf(c415,plain,
divide(X8,multiply(divide(X7,X6),divide(multiply(divide(X6,X7),X5),multiply(X4,X5)))) = divide(X8,multiply(multiply(X3,X2),divide(multiply(divide(inverse(X2),X3),X),multiply(X4,X)))),
inference(transitivity,[status(thm)],[c406,c414]) ).
cnf(c416,plain,
divide(X8,multiply(divide(X3,X2),divide(multiply(divide(X2,X3),X),multiply(X7,X)))) = divide(X8,multiply(multiply(X5,X4),divide(multiply(divide(inverse(X4),X5),X6),multiply(X7,X6)))),
inference(substitution,[status(thm)],[c415]) ).
cnf(c417,plain,
divide(X8,multiply(multiply(X5,X4),divide(multiply(divide(inverse(X4),X5),X6),multiply(X7,X6)))) = divide(X8,multiply(divide(X3,X2),divide(multiply(divide(X2,X3),X),multiply(X7,X)))),
inference(symmetry,[status(thm)],[c416]) ).
cnf(c418,plain,
divide(X7,divide(X8,multiply(multiply(X5,X4),divide(multiply(divide(inverse(X4),X5),X6),multiply(X7,X6))))) = divide(X7,divide(X8,multiply(divide(X3,X2),divide(multiply(divide(X2,X3),X),multiply(X7,X))))),
inference(congruence,[status(thm)],[c417]) ).
cnf(c419,plain,
inverse(divide(X7,divide(X8,multiply(multiply(X5,X4),divide(multiply(divide(inverse(X4),X5),X6),multiply(X7,X6)))))) = inverse(divide(X7,divide(X8,multiply(divide(X3,X2),divide(multiply(divide(X2,X3),X),multiply(X7,X)))))),
inference(congruence,[status(thm)],[c418]) ).
cnf(c420,plain,
inverse(divide(multiply(X5,X),multiply(divide(X6,multiply(divide(X4,X3),divide(multiply(divide(X3,X4),X2),multiply(X5,X2)))),X))) = inverse(divide(X5,divide(X6,multiply(divide(X4,X3),divide(multiply(divide(X3,X4),X2),multiply(X5,X2)))))),
inference(substitution,[status(thm)],[c352]) ).
cnf(c421,plain,
inverse(divide(X5,divide(X6,multiply(divide(X4,X3),divide(multiply(divide(X3,X4),X2),multiply(X5,X2)))))) = inverse(divide(multiply(X5,X),multiply(divide(X6,multiply(divide(X4,X3),divide(multiply(divide(X3,X4),X2),multiply(X5,X2)))),X))),
inference(symmetry,[status(thm)],[c420]) ).
cnf(c422,plain,
inverse(divide(multiply(X5,X),multiply(divide(X6,multiply(divide(X4,X3),divide(multiply(divide(X3,X4),X2),multiply(X5,X2)))),X))) = X6,
inference(substitution,[status(thm)],[c134]) ).
cnf(c423,plain,
inverse(divide(X4,divide(X5,multiply(divide(X3,X2),divide(multiply(divide(X2,X3),X),multiply(X4,X)))))) = X5,
inference(transitivity,[status(thm)],[c421,c422]) ).
cnf(c424,plain,
inverse(divide(X4,divide(X5,multiply(multiply(X2,X),divide(multiply(divide(inverse(X),X2),X3),multiply(X4,X3)))))) = X5,
inference(transitivity,[status(thm)],[c419,c423]) ).
cnf(c425,plain,
inverse(divide(multiply(inverse(divide(multiply(X3,X2),multiply(X3,X2))),X),multiply(X4,X))) = X4,
inference(transitivity,[status(thm)],[c400,c424]) ).
cnf(c426,plain,
inverse(divide(inverse(divide(multiply(X2,X),multiply(X2,X))),X3)) = X3,
inference(transitivity,[status(thm)],[c358,c425]) ).
cnf(c427,plain,
inverse(divide(inverse(divide(X,X)),X2)) = X2,
inference(transitivity,[status(thm)],[c356,c426]) ).
cnf(c428,plain,
inverse(divide(inverse(multiply(inverse(X2),X2)),X)) = X,
inference(transitivity,[status(thm)],[c329,c427]) ).
cnf(c429,plain,
inverse(divide(inverse(multiply(inverse(X),X)),divide(X2,X3))) = divide(X2,X3),
inference(substitution,[status(thm)],[c428]) ).
cnf(c430,plain,
inverse(divide(X2,X)) = divide(X,X2),
inference(transitivity,[status(thm)],[c325,c429]) ).
cnf(c431,plain,
inverse(divide(X2,inverse(X))) = divide(inverse(X),X2),
inference(substitution,[status(thm)],[c430]) ).
cnf(c432,plain,
inverse(multiply(X2,X)) = divide(inverse(X),X2),
inference(transitivity,[status(thm)],[c5,c431]) ).
cnf(c433,plain,
inverse(multiply(inverse(X),X)) = divide(inverse(X),inverse(X)),
inference(substitution,[status(thm)],[c432]) ).
cnf(c434,plain,
divide(inverse(X),inverse(X)) = inverse(multiply(inverse(X),X)),
inference(symmetry,[status(thm)],[c433]) ).
cnf(c435,plain,
multiply(inverse(X),X) = divide(inverse(X),inverse(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c436,plain,
inverse(multiply(inverse(X),X)) = inverse(divide(inverse(X),inverse(X))),
inference(congruence,[status(thm)],[c435]) ).
cnf(c437,plain,
inverse(divide(inverse(X2),inverse(X2))) = inverse(divide(inverse(X),inverse(X))),
inference(substitution,[status(thm)],[c312]) ).
cnf(c438,plain,
inverse(divide(inverse(X),inverse(X))) = inverse(divide(inverse(X2),inverse(X2))),
inference(symmetry,[status(thm)],[c437]) ).
cnf(c439,plain,
multiply(inverse(X),X) = divide(inverse(X),inverse(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c440,plain,
divide(inverse(X),inverse(X)) = multiply(inverse(X),X),
inference(symmetry,[status(thm)],[c439]) ).
cnf(c441,plain,
inverse(divide(inverse(X),inverse(X))) = inverse(multiply(inverse(X),X)),
inference(congruence,[status(thm)],[c440]) ).
cnf(c442,plain,
inverse(divide(inverse(X),inverse(X))) = inverse(multiply(inverse(X2),X2)),
inference(transitivity,[status(thm)],[c438,c441]) ).
cnf(c443,plain,
inverse(multiply(inverse(X),X)) = inverse(multiply(inverse(X2),X2)),
inference(transitivity,[status(thm)],[c436,c442]) ).
cnf(c444,plain,
inverse(multiply(inverse(X),X)) = divide(inverse(X),inverse(X)),
inference(substitution,[status(thm)],[c432]) ).
cnf(c445,plain,
multiply(inverse(X),X) = divide(inverse(X),inverse(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c446,plain,
divide(inverse(X),inverse(X)) = multiply(inverse(X),X),
inference(symmetry,[status(thm)],[c445]) ).
cnf(c447,plain,
inverse(multiply(inverse(X),X)) = multiply(inverse(X),X),
inference(transitivity,[status(thm)],[c444,c446]) ).
cnf(c448,plain,
inverse(multiply(inverse(X),X)) = multiply(inverse(X2),X2),
inference(transitivity,[status(thm)],[c443,c447]) ).
cnf(c449,plain,
divide(inverse(X),inverse(X)) = multiply(inverse(X2),X2),
inference(transitivity,[status(thm)],[c434,c448]) ).
cnf(c450,plain,
multiply(inverse(X),X) = multiply(inverse(X2),X2),
inference(transitivity,[status(thm)],[c3,c449]) ).
cnf(c451,plain,
multiply(inverse(a1),a1) = multiply(inverse(b1),b1),
inference(substitution,[status(thm)],[c450]) ).
cnf(c452,plain,
$false,
inference(resolution,[status(thm)],[c1,c451]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP475-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n020.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 27 10:06:35 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.89/0.68 Command-line arguments: --no-flatten-goal
% 1.89/0.68
% 1.89/0.68 % SZS status Unsatisfiable
% 1.89/0.68
% 2.21/0.70 % SZS output start CNFRefutation
% See solution above
% 3.80/0.93
% 3.80/0.93 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------