%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP478-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 10:10:46 AM UTC 2026
% Result : Unsatisfiable 0.52s 0.49s
% Output : CNFRefutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 3
% Syntax : Number of clauses : 134 ( 134 unt; 0 nHn; 3 RR)
% Number of literals : 134 ( 133 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 19 ( 3 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 : 741 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(c2,axiom,
multiply(A,B) = divide(A,inverse(B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c3,plain,
multiply(inverse(X),X) = divide(inverse(X),inverse(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
divide(multiply(inverse(X),X),X2) = divide(divide(inverse(X),inverse(X)),X2),
inference(congruence,[status(thm)],[c3]) ).
cnf(c5,plain,
divide(divide(multiply(inverse(X2),X2),X),divide(X4,divide(X,X3))) = divide(divide(divide(inverse(X2),inverse(X2)),X),divide(X4,divide(X,X3))),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,plain,
inverse(divide(divide(multiply(inverse(X4),X4),X3),divide(X2,divide(X3,X)))) = inverse(divide(divide(divide(inverse(X4),inverse(X4)),X3),divide(X2,divide(X3,X)))),
inference(congruence,[status(thm)],[c5]) ).
cnf(c7,plain,
divide(inverse(divide(divide(multiply(inverse(X4),X4),X3),divide(X2,divide(X3,X)))),X) = divide(inverse(divide(divide(divide(inverse(X4),inverse(X4)),X3),divide(X2,divide(X3,X)))),X),
inference(congruence,[status(thm)],[c6]) ).
cnf(c8,axiom,
divide(inverse(divide(divide(divide(A2,A2),B2),divide(C,divide(B2,D)))),D) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c9,plain,
divide(inverse(divide(divide(divide(inverse(X4),inverse(X4)),X3),divide(X2,divide(X3,X)))),X) = X2,
inference(substitution,[status(thm)],[c8]) ).
cnf(c10,plain,
divide(inverse(divide(divide(multiply(inverse(X3),X3),X2),divide(X,divide(X2,X4)))),X4) = X,
inference(transitivity,[status(thm)],[c7,c9]) ).
cnf(c11,plain,
X2 = divide(inverse(divide(divide(multiply(inverse(X4),X4),X3),divide(X2,divide(X3,X)))),X),
inference(symmetry,[status(thm)],[c10]) ).
cnf(c12,plain,
divide(X5,X2) = divide(X5,divide(inverse(divide(divide(multiply(inverse(X4),X4),X3),divide(X2,divide(X3,X)))),X)),
inference(congruence,[status(thm)],[c11]) ).
cnf(c13,plain,
divide(divide(multiply(inverse(X6),X6),inverse(divide(divide(multiply(inverse(X5),X5),X4),divide(X3,divide(X4,X2))))),divide(X,X3)) = divide(divide(multiply(inverse(X6),X6),inverse(divide(divide(multiply(inverse(X5),X5),X4),divide(X3,divide(X4,X2))))),divide(X,divide(inverse(divide(divide(multiply(inverse(X5),X5),X4),divide(X3,divide(X4,X2)))),X2))),
inference(congruence,[status(thm)],[c12]) ).
cnf(c14,plain,
inverse(divide(divide(multiply(inverse(X6),X6),inverse(divide(divide(multiply(inverse(X5),X5),X4),divide(X3,divide(X4,X2))))),divide(X,X3))) = inverse(divide(divide(multiply(inverse(X6),X6),inverse(divide(divide(multiply(inverse(X5),X5),X4),divide(X3,divide(X4,X2))))),divide(X,divide(inverse(divide(divide(multiply(inverse(X5),X5),X4),divide(X3,divide(X4,X2)))),X2)))),
inference(congruence,[status(thm)],[c13]) ).
cnf(c15,plain,
divide(inverse(divide(divide(multiply(inverse(X6),X6),inverse(divide(divide(multiply(inverse(X5),X5),X4),divide(X3,divide(X4,X2))))),divide(X,X3))),X2) = divide(inverse(divide(divide(multiply(inverse(X6),X6),inverse(divide(divide(multiply(inverse(X5),X5),X4),divide(X3,divide(X4,X2))))),divide(X,divide(inverse(divide(divide(multiply(inverse(X5),X5),X4),divide(X3,divide(X4,X2)))),X2)))),X2),
inference(congruence,[status(thm)],[c14]) ).
cnf(c16,plain,
divide(inverse(divide(divide(multiply(inverse(X6),X6),inverse(divide(divide(multiply(inverse(X5),X5),X4),divide(X3,divide(X4,X2))))),divide(X,divide(inverse(divide(divide(multiply(inverse(X5),X5),X4),divide(X3,divide(X4,X2)))),X2)))),X2) = X,
inference(substitution,[status(thm)],[c10]) ).
cnf(c17,plain,
divide(inverse(divide(divide(multiply(inverse(X6),X6),inverse(divide(divide(multiply(inverse(X5),X5),X4),divide(X3,divide(X4,X2))))),divide(X,X3))),X2) = X,
inference(transitivity,[status(thm)],[c15,c16]) ).
cnf(c18,plain,
divide(inverse(divide(divide(multiply(inverse(X2),X2),inverse(divide(divide(multiply(inverse(X),X),X9),divide(inverse(X8),divide(X9,X7))))),divide(divide(X6,inverse(divide(divide(multiply(inverse(X5),X5),X6),divide(multiply(inverse(X4),X4),X3)))),inverse(X8)))),X7) = divide(X6,inverse(divide(divide(multiply(inverse(X5),X5),X6),divide(multiply(inverse(X4),X4),X3)))),
inference(substitution,[status(thm)],[c17]) ).
cnf(c19,plain,
divide(X9,inverse(divide(divide(multiply(inverse(X8),X8),X9),divide(multiply(inverse(X7),X7),X6)))) = divide(inverse(divide(divide(multiply(inverse(X5),X5),inverse(divide(divide(multiply(inverse(X4),X4),X3),divide(inverse(X2),divide(X3,X))))),divide(divide(X9,inverse(divide(divide(multiply(inverse(X8),X8),X9),divide(multiply(inverse(X7),X7),X6)))),inverse(X2)))),X),
inference(symmetry,[status(thm)],[c18]) ).
cnf(c20,plain,
multiply(X2,X) = divide(X2,inverse(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c21,plain,
divide(divide(inverse(divide(divide(multiply(inverse(X4),X4),X3),X2)),inverse(X)),multiply(X3,X)) = divide(divide(inverse(divide(divide(multiply(inverse(X4),X4),X3),X2)),inverse(X)),divide(X3,inverse(X))),
inference(congruence,[status(thm)],[c20]) ).
cnf(c22,plain,
divide(inverse(divide(divide(multiply(inverse(X),X),X3),divide(inverse(divide(divide(multiply(inverse(X6),X6),X5),divide(X4,divide(X5,divide(X3,X2))))),divide(X3,X2)))),X2) = inverse(divide(divide(multiply(inverse(X6),X6),X5),divide(X4,divide(X5,divide(X3,X2))))),
inference(substitution,[status(thm)],[c10]) ).
cnf(c23,plain,
inverse(divide(divide(multiply(inverse(X6),X6),X5),divide(X4,divide(X5,divide(X3,X2))))) = divide(inverse(divide(divide(multiply(inverse(X),X),X3),divide(inverse(divide(divide(multiply(inverse(X6),X6),X5),divide(X4,divide(X5,divide(X3,X2))))),divide(X3,X2)))),X2),
inference(symmetry,[status(thm)],[c22]) ).
cnf(c24,plain,
divide(inverse(divide(divide(multiply(inverse(X5),X5),X4),divide(X3,divide(X4,divide(X2,X))))),divide(X2,X)) = X3,
inference(substitution,[status(thm)],[c10]) ).
cnf(c25,plain,
divide(divide(multiply(inverse(X),X),X3),divide(inverse(divide(divide(multiply(inverse(X6),X6),X5),divide(X4,divide(X5,divide(X3,X2))))),divide(X3,X2))) = divide(divide(multiply(inverse(X),X),X3),X4),
inference(congruence,[status(thm)],[c24]) ).
cnf(c26,plain,
inverse(divide(divide(multiply(inverse(X),X),X3),divide(inverse(divide(divide(multiply(inverse(X6),X6),X5),divide(X4,divide(X5,divide(X3,X2))))),divide(X3,X2)))) = inverse(divide(divide(multiply(inverse(X),X),X3),X4)),
inference(congruence,[status(thm)],[c25]) ).
cnf(c27,plain,
divide(inverse(divide(divide(multiply(inverse(X),X),X3),divide(inverse(divide(divide(multiply(inverse(X6),X6),X5),divide(X4,divide(X5,divide(X3,X2))))),divide(X3,X2)))),X2) = divide(inverse(divide(divide(multiply(inverse(X),X),X3),X4)),X2),
inference(congruence,[status(thm)],[c26]) ).
cnf(c28,plain,
inverse(divide(divide(multiply(inverse(X6),X6),X5),divide(X4,divide(X5,divide(X3,X2))))) = divide(inverse(divide(divide(multiply(inverse(X),X),X3),X4)),X2),
inference(transitivity,[status(thm)],[c23,c27]) ).
cnf(c29,plain,
inverse(divide(divide(multiply(inverse(X2),X2),X),divide(X4,divide(X,divide(X5,X3))))) = divide(inverse(divide(divide(multiply(inverse(X6),X6),X5),X4)),X3),
inference(substitution,[status(thm)],[c28]) ).
cnf(c30,plain,
divide(inverse(divide(divide(multiply(inverse(X6),X6),X5),X4)),X3) = inverse(divide(divide(multiply(inverse(X2),X2),X),divide(X4,divide(X,divide(X5,X3))))),
inference(symmetry,[status(thm)],[c29]) ).
cnf(c31,plain,
divide(divide(inverse(divide(divide(multiply(inverse(X6),X6),X5),X4)),X3),divide(X5,X3)) = divide(inverse(divide(divide(multiply(inverse(X2),X2),X),divide(X4,divide(X,divide(X5,X3))))),divide(X5,X3)),
inference(congruence,[status(thm)],[c30]) ).
cnf(c32,plain,
divide(inverse(divide(divide(multiply(inverse(X2),X2),X),divide(X4,divide(X,divide(X5,X3))))),divide(X5,X3)) = X4,
inference(substitution,[status(thm)],[c10]) ).
cnf(c33,plain,
divide(divide(inverse(divide(divide(multiply(inverse(X4),X4),X3),X2)),X),divide(X3,X)) = X2,
inference(transitivity,[status(thm)],[c31,c32]) ).
cnf(c34,plain,
divide(divide(inverse(divide(divide(multiply(inverse(X4),X4),X3),X2)),inverse(X)),divide(X3,inverse(X))) = X2,
inference(substitution,[status(thm)],[c33]) ).
cnf(c35,plain,
divide(divide(inverse(divide(divide(multiply(inverse(X4),X4),X3),X2)),inverse(X)),multiply(X3,X)) = X2,
inference(transitivity,[status(thm)],[c21,c34]) ).
cnf(c36,plain,
divide(divide(inverse(divide(divide(multiply(inverse(X3),X3),X2),divide(X6,divide(divide(X5,inverse(divide(divide(multiply(inverse(X4),X4),X5),divide(multiply(inverse(X3),X3),X2)))),inverse(X))))),inverse(X)),multiply(X2,X)) = divide(X6,divide(divide(X5,inverse(divide(divide(multiply(inverse(X4),X4),X5),divide(multiply(inverse(X3),X3),X2)))),inverse(X))),
inference(substitution,[status(thm)],[c35]) ).
cnf(c37,plain,
divide(X6,divide(divide(X5,inverse(divide(divide(multiply(inverse(X4),X4),X5),divide(multiply(inverse(X3),X3),X2)))),inverse(X))) = divide(divide(inverse(divide(divide(multiply(inverse(X3),X3),X2),divide(X6,divide(divide(X5,inverse(divide(divide(multiply(inverse(X4),X4),X5),divide(multiply(inverse(X3),X3),X2)))),inverse(X))))),inverse(X)),multiply(X2,X)),
inference(symmetry,[status(thm)],[c36]) ).
cnf(c38,plain,
divide(divide(inverse(divide(divide(multiply(inverse(X),X),X2),X3)),inverse(divide(divide(multiply(inverse(X),X),X2),X3))),divide(X2,inverse(divide(divide(multiply(inverse(X),X),X2),X3)))) = X3,
inference(substitution,[status(thm)],[c33]) ).
cnf(c39,plain,
X3 = divide(divide(inverse(divide(divide(multiply(inverse(X),X),X2),X3)),inverse(divide(divide(multiply(inverse(X),X),X2),X3))),divide(X2,inverse(divide(divide(multiply(inverse(X),X),X2),X3)))),
inference(symmetry,[status(thm)],[c38]) ).
cnf(c40,plain,
divide(X5,divide(X4,divide(divide(X3,inverse(divide(divide(multiply(inverse(X2),X2),X3),X5))),X))) = divide(divide(divide(inverse(divide(divide(multiply(inverse(X2),X2),X3),X5)),inverse(divide(divide(multiply(inverse(X2),X2),X3),X5))),divide(X3,inverse(divide(divide(multiply(inverse(X2),X2),X3),X5)))),divide(X4,divide(divide(X3,inverse(divide(divide(multiply(inverse(X2),X2),X3),X5))),X))),
inference(congruence,[status(thm)],[c39]) ).
cnf(c41,plain,
inverse(divide(X5,divide(X4,divide(divide(X3,inverse(divide(divide(multiply(inverse(X2),X2),X3),X5))),X)))) = inverse(divide(divide(divide(inverse(divide(divide(multiply(inverse(X2),X2),X3),X5)),inverse(divide(divide(multiply(inverse(X2),X2),X3),X5))),divide(X3,inverse(divide(divide(multiply(inverse(X2),X2),X3),X5)))),divide(X4,divide(divide(X3,inverse(divide(divide(multiply(inverse(X2),X2),X3),X5))),X)))),
inference(congruence,[status(thm)],[c40]) ).
cnf(c42,plain,
divide(inverse(divide(X5,divide(X4,divide(divide(X3,inverse(divide(divide(multiply(inverse(X2),X2),X3),X5))),X)))),X) = divide(inverse(divide(divide(divide(inverse(divide(divide(multiply(inverse(X2),X2),X3),X5)),inverse(divide(divide(multiply(inverse(X2),X2),X3),X5))),divide(X3,inverse(divide(divide(multiply(inverse(X2),X2),X3),X5)))),divide(X4,divide(divide(X3,inverse(divide(divide(multiply(inverse(X2),X2),X3),X5))),X)))),X),
inference(congruence,[status(thm)],[c41]) ).
cnf(c43,plain,
divide(inverse(divide(divide(divide(inverse(divide(divide(multiply(inverse(X2),X2),X3),X5)),inverse(divide(divide(multiply(inverse(X2),X2),X3),X5))),divide(X3,inverse(divide(divide(multiply(inverse(X2),X2),X3),X5)))),divide(X4,divide(divide(X3,inverse(divide(divide(multiply(inverse(X2),X2),X3),X5))),X)))),X) = X4,
inference(substitution,[status(thm)],[c8]) ).
cnf(c44,plain,
divide(inverse(divide(X5,divide(X4,divide(divide(X3,inverse(divide(divide(multiply(inverse(X2),X2),X3),X5))),X)))),X) = X4,
inference(transitivity,[status(thm)],[c42,c43]) ).
cnf(c45,plain,
divide(inverse(divide(divide(multiply(inverse(X3),X3),X2),divide(X6,divide(divide(X5,inverse(divide(divide(multiply(inverse(X4),X4),X5),divide(multiply(inverse(X3),X3),X2)))),inverse(X))))),inverse(X)) = X6,
inference(substitution,[status(thm)],[c44]) ).
cnf(c46,plain,
divide(divide(inverse(divide(divide(multiply(inverse(X3),X3),X2),divide(X6,divide(divide(X5,inverse(divide(divide(multiply(inverse(X4),X4),X5),divide(multiply(inverse(X3),X3),X2)))),inverse(X))))),inverse(X)),multiply(X2,X)) = divide(X6,multiply(X2,X)),
inference(congruence,[status(thm)],[c45]) ).
cnf(c47,plain,
divide(X6,divide(divide(X5,inverse(divide(divide(multiply(inverse(X4),X4),X5),divide(multiply(inverse(X3),X3),X2)))),inverse(X))) = divide(X6,multiply(X2,X)),
inference(transitivity,[status(thm)],[c37,c46]) ).
cnf(c48,plain,
divide(divide(multiply(inverse(X5),X5),inverse(divide(divide(multiply(inverse(X4),X4),X3),divide(inverse(X2),divide(X3,X))))),divide(divide(X9,inverse(divide(divide(multiply(inverse(X8),X8),X9),divide(multiply(inverse(X7),X7),X6)))),inverse(X2))) = divide(divide(multiply(inverse(X5),X5),inverse(divide(divide(multiply(inverse(X4),X4),X3),divide(inverse(X2),divide(X3,X))))),multiply(X6,X2)),
inference(substitution,[status(thm)],[c47]) ).
cnf(c49,plain,
inverse(divide(divide(multiply(inverse(X5),X5),inverse(divide(divide(multiply(inverse(X4),X4),X3),divide(inverse(X2),divide(X3,X))))),divide(divide(X9,inverse(divide(divide(multiply(inverse(X8),X8),X9),divide(multiply(inverse(X7),X7),X6)))),inverse(X2)))) = inverse(divide(divide(multiply(inverse(X5),X5),inverse(divide(divide(multiply(inverse(X4),X4),X3),divide(inverse(X2),divide(X3,X))))),multiply(X6,X2))),
inference(congruence,[status(thm)],[c48]) ).
cnf(c50,plain,
divide(inverse(divide(divide(multiply(inverse(X5),X5),inverse(divide(divide(multiply(inverse(X4),X4),X3),divide(inverse(X2),divide(X3,X))))),divide(divide(X9,inverse(divide(divide(multiply(inverse(X8),X8),X9),divide(multiply(inverse(X7),X7),X6)))),inverse(X2)))),X) = divide(inverse(divide(divide(multiply(inverse(X5),X5),inverse(divide(divide(multiply(inverse(X4),X4),X3),divide(inverse(X2),divide(X3,X))))),multiply(X6,X2))),X),
inference(congruence,[status(thm)],[c49]) ).
cnf(c51,plain,
multiply(X,X2) = divide(X,inverse(X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c52,plain,
divide(divide(multiply(inverse(X6),X6),inverse(divide(divide(multiply(inverse(X5),X5),X4),divide(inverse(X3),divide(X4,X2))))),multiply(X,X3)) = divide(divide(multiply(inverse(X6),X6),inverse(divide(divide(multiply(inverse(X5),X5),X4),divide(inverse(X3),divide(X4,X2))))),divide(X,inverse(X3))),
inference(congruence,[status(thm)],[c51]) ).
cnf(c53,plain,
inverse(divide(divide(multiply(inverse(X6),X6),inverse(divide(divide(multiply(inverse(X5),X5),X4),divide(inverse(X3),divide(X4,X2))))),multiply(X,X3))) = inverse(divide(divide(multiply(inverse(X6),X6),inverse(divide(divide(multiply(inverse(X5),X5),X4),divide(inverse(X3),divide(X4,X2))))),divide(X,inverse(X3)))),
inference(congruence,[status(thm)],[c52]) ).
cnf(c54,plain,
divide(inverse(divide(divide(multiply(inverse(X6),X6),inverse(divide(divide(multiply(inverse(X5),X5),X4),divide(inverse(X3),divide(X4,X2))))),multiply(X,X3))),X2) = divide(inverse(divide(divide(multiply(inverse(X6),X6),inverse(divide(divide(multiply(inverse(X5),X5),X4),divide(inverse(X3),divide(X4,X2))))),divide(X,inverse(X3)))),X2),
inference(congruence,[status(thm)],[c53]) ).
cnf(c55,plain,
divide(inverse(divide(divide(multiply(inverse(X6),X6),inverse(divide(divide(multiply(inverse(X5),X5),X4),divide(inverse(X3),divide(X4,X2))))),divide(X,inverse(X3)))),X2) = X,
inference(substitution,[status(thm)],[c17]) ).
cnf(c56,plain,
divide(inverse(divide(divide(multiply(inverse(X6),X6),inverse(divide(divide(multiply(inverse(X5),X5),X4),divide(inverse(X3),divide(X4,X2))))),multiply(X,X3))),X2) = X,
inference(transitivity,[status(thm)],[c54,c55]) ).
cnf(c57,plain,
divide(inverse(divide(divide(multiply(inverse(X5),X5),inverse(divide(divide(multiply(inverse(X4),X4),X3),divide(inverse(X2),divide(X3,X))))),multiply(X6,X2))),X) = X6,
inference(substitution,[status(thm)],[c56]) ).
cnf(c58,plain,
divide(inverse(divide(divide(multiply(inverse(X5),X5),inverse(divide(divide(multiply(inverse(X4),X4),X3),divide(inverse(X2),divide(X3,X))))),divide(divide(X9,inverse(divide(divide(multiply(inverse(X8),X8),X9),divide(multiply(inverse(X7),X7),X6)))),inverse(X2)))),X) = X6,
inference(transitivity,[status(thm)],[c50,c57]) ).
cnf(c59,plain,
divide(X4,inverse(divide(divide(multiply(inverse(X3),X3),X4),divide(multiply(inverse(X2),X2),X)))) = X,
inference(transitivity,[status(thm)],[c19,c58]) ).
cnf(c60,plain,
divide(inverse(divide(X3,inverse(X4))),inverse(divide(divide(multiply(inverse(X2),X2),inverse(divide(X3,inverse(X4)))),divide(multiply(inverse(X),X),X5)))) = X5,
inference(substitution,[status(thm)],[c59]) ).
cnf(c61,plain,
X5 = divide(inverse(divide(X3,inverse(X4))),inverse(divide(divide(multiply(inverse(X2),X2),inverse(divide(X3,inverse(X4)))),divide(multiply(inverse(X),X),X5)))),
inference(symmetry,[status(thm)],[c60]) ).
cnf(c62,plain,
divide(multiply(inverse(X6),X6),X5) = divide(multiply(inverse(X6),X6),divide(inverse(divide(X3,inverse(X4))),inverse(divide(divide(multiply(inverse(X2),X2),inverse(divide(X3,inverse(X4)))),divide(multiply(inverse(X),X),X5))))),
inference(congruence,[status(thm)],[c61]) ).
cnf(c63,plain,
divide(divide(multiply(inverse(X6),X6),X5),multiply(inverse(X4),X4)) = divide(divide(multiply(inverse(X6),X6),divide(inverse(divide(X3,inverse(X4))),inverse(divide(divide(multiply(inverse(X2),X2),inverse(divide(X3,inverse(X4)))),divide(multiply(inverse(X),X),X5))))),multiply(inverse(X4),X4)),
inference(congruence,[status(thm)],[c62]) ).
cnf(c64,plain,
inverse(divide(divide(multiply(inverse(X6),X6),X5),multiply(inverse(X4),X4))) = inverse(divide(divide(multiply(inverse(X6),X6),divide(inverse(divide(X3,inverse(X4))),inverse(divide(divide(multiply(inverse(X2),X2),inverse(divide(X3,inverse(X4)))),divide(multiply(inverse(X),X),X5))))),multiply(inverse(X4),X4))),
inference(congruence,[status(thm)],[c63]) ).
cnf(c65,plain,
divide(inverse(divide(divide(divide(X,X),X3),divide(inverse(divide(divide(multiply(inverse(X4),X4),X6),X5)),divide(X3,X2)))),X2) = inverse(divide(divide(multiply(inverse(X4),X4),X6),X5)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c66,plain,
inverse(divide(divide(multiply(inverse(X4),X4),X6),X5)) = divide(inverse(divide(divide(divide(X,X),X3),divide(inverse(divide(divide(multiply(inverse(X4),X4),X6),X5)),divide(X3,X2)))),X2),
inference(symmetry,[status(thm)],[c65]) ).
cnf(c67,plain,
inverse(divide(divide(multiply(inverse(X4),X4),X3),divide(X6,divide(X3,divide(X7,divide(X2,X)))))) = divide(inverse(divide(divide(multiply(inverse(X5),X5),X7),X6)),divide(X2,X)),
inference(substitution,[status(thm)],[c28]) ).
cnf(c68,plain,
divide(inverse(divide(divide(multiply(inverse(X5),X5),X7),X6)),divide(X2,X)) = inverse(divide(divide(multiply(inverse(X4),X4),X3),divide(X6,divide(X3,divide(X7,divide(X2,X)))))),
inference(symmetry,[status(thm)],[c67]) ).
cnf(c69,plain,
divide(divide(divide(X,X),X3),divide(inverse(divide(divide(multiply(inverse(X6),X6),X8),X7)),divide(X3,X2))) = divide(divide(divide(X,X),X3),inverse(divide(divide(multiply(inverse(X5),X5),X4),divide(X7,divide(X4,divide(X8,divide(X3,X2))))))),
inference(congruence,[status(thm)],[c68]) ).
cnf(c70,plain,
inverse(divide(divide(divide(X,X),X3),divide(inverse(divide(divide(multiply(inverse(X6),X6),X8),X7)),divide(X3,X2)))) = inverse(divide(divide(divide(X,X),X3),inverse(divide(divide(multiply(inverse(X5),X5),X4),divide(X7,divide(X4,divide(X8,divide(X3,X2)))))))),
inference(congruence,[status(thm)],[c69]) ).
cnf(c71,plain,
divide(inverse(divide(divide(divide(X,X),X3),divide(inverse(divide(divide(multiply(inverse(X6),X6),X8),X7)),divide(X3,X2)))),X2) = divide(inverse(divide(divide(divide(X,X),X3),inverse(divide(divide(multiply(inverse(X5),X5),X4),divide(X7,divide(X4,divide(X8,divide(X3,X2)))))))),X2),
inference(congruence,[status(thm)],[c70]) ).
cnf(c72,plain,
divide(inverse(divide(divide(divide(X,X),X3),divide(inverse(divide(divide(divide(X6,X6),X5),divide(X4,divide(X5,divide(X3,X2))))),divide(X3,X2)))),X2) = inverse(divide(divide(divide(X6,X6),X5),divide(X4,divide(X5,divide(X3,X2))))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c73,plain,
inverse(divide(divide(divide(X6,X6),X5),divide(X4,divide(X5,divide(X3,X2))))) = divide(inverse(divide(divide(divide(X,X),X3),divide(inverse(divide(divide(divide(X6,X6),X5),divide(X4,divide(X5,divide(X3,X2))))),divide(X3,X2)))),X2),
inference(symmetry,[status(thm)],[c72]) ).
cnf(c74,plain,
divide(inverse(divide(divide(divide(X5,X5),X4),divide(X3,divide(X4,divide(X2,X))))),divide(X2,X)) = X3,
inference(substitution,[status(thm)],[c8]) ).
cnf(c75,plain,
divide(divide(divide(X,X),X3),divide(inverse(divide(divide(divide(X6,X6),X5),divide(X4,divide(X5,divide(X3,X2))))),divide(X3,X2))) = divide(divide(divide(X,X),X3),X4),
inference(congruence,[status(thm)],[c74]) ).
cnf(c76,plain,
inverse(divide(divide(divide(X,X),X3),divide(inverse(divide(divide(divide(X6,X6),X5),divide(X4,divide(X5,divide(X3,X2))))),divide(X3,X2)))) = inverse(divide(divide(divide(X,X),X3),X4)),
inference(congruence,[status(thm)],[c75]) ).
cnf(c77,plain,
divide(inverse(divide(divide(divide(X,X),X3),divide(inverse(divide(divide(divide(X6,X6),X5),divide(X4,divide(X5,divide(X3,X2))))),divide(X3,X2)))),X2) = divide(inverse(divide(divide(divide(X,X),X3),X4)),X2),
inference(congruence,[status(thm)],[c76]) ).
cnf(c78,plain,
inverse(divide(divide(divide(X6,X6),X5),divide(X4,divide(X5,divide(X3,X2))))) = divide(inverse(divide(divide(divide(X,X),X3),X4)),X2),
inference(transitivity,[status(thm)],[c73,c77]) ).
cnf(c79,plain,
inverse(divide(divide(divide(X8,X8),X7),divide(inverse(divide(divide(multiply(inverse(X5),X5),X4),divide(X6,divide(X4,divide(X7,divide(X3,X2)))))),divide(X7,divide(X3,X2))))) = divide(inverse(divide(divide(divide(X,X),X3),inverse(divide(divide(multiply(inverse(X5),X5),X4),divide(X6,divide(X4,divide(X7,divide(X3,X2)))))))),X2),
inference(substitution,[status(thm)],[c78]) ).
cnf(c80,plain,
divide(inverse(divide(divide(divide(X,X),X3),inverse(divide(divide(multiply(inverse(X5),X5),X4),divide(X6,divide(X4,divide(X7,divide(X3,X2)))))))),X2) = inverse(divide(divide(divide(X8,X8),X7),divide(inverse(divide(divide(multiply(inverse(X5),X5),X4),divide(X6,divide(X4,divide(X7,divide(X3,X2)))))),divide(X7,divide(X3,X2))))),
inference(symmetry,[status(thm)],[c79]) ).
cnf(c81,plain,
divide(inverse(divide(divide(multiply(inverse(X4),X4),X3),divide(X5,divide(X3,divide(X6,divide(X2,X)))))),divide(X6,divide(X2,X))) = X5,
inference(substitution,[status(thm)],[c10]) ).
cnf(c82,plain,
divide(divide(divide(X7,X7),X6),divide(inverse(divide(divide(multiply(inverse(X4),X4),X3),divide(X5,divide(X3,divide(X6,divide(X2,X)))))),divide(X6,divide(X2,X)))) = divide(divide(divide(X7,X7),X6),X5),
inference(congruence,[status(thm)],[c81]) ).
cnf(c83,plain,
inverse(divide(divide(divide(X7,X7),X6),divide(inverse(divide(divide(multiply(inverse(X4),X4),X3),divide(X5,divide(X3,divide(X6,divide(X2,X)))))),divide(X6,divide(X2,X))))) = inverse(divide(divide(divide(X7,X7),X6),X5)),
inference(congruence,[status(thm)],[c82]) ).
cnf(c84,plain,
divide(inverse(divide(divide(divide(X,X),X3),inverse(divide(divide(multiply(inverse(X5),X5),X4),divide(X6,divide(X4,divide(X7,divide(X3,X2)))))))),X2) = inverse(divide(divide(divide(X8,X8),X7),X6)),
inference(transitivity,[status(thm)],[c80,c83]) ).
cnf(c85,plain,
divide(inverse(divide(divide(divide(X,X),X3),divide(inverse(divide(divide(multiply(inverse(X4),X4),X6),X5)),divide(X3,X2)))),X2) = inverse(divide(divide(divide(X7,X7),X6),X5)),
inference(transitivity,[status(thm)],[c71,c84]) ).
cnf(c86,plain,
inverse(divide(divide(multiply(inverse(X),X),X3),X2)) = inverse(divide(divide(divide(X4,X4),X3),X2)),
inference(transitivity,[status(thm)],[c66,c85]) ).
cnf(c87,plain,
inverse(divide(divide(multiply(inverse(X5),X5),divide(X4,inverse(divide(divide(multiply(inverse(X3),X3),X4),X2)))),X)) = inverse(divide(divide(divide(inverse(divide(divide(multiply(inverse(X3),X3),X4),X2)),inverse(divide(divide(multiply(inverse(X3),X3),X4),X2))),divide(X4,inverse(divide(divide(multiply(inverse(X3),X3),X4),X2)))),X)),
inference(substitution,[status(thm)],[c86]) ).
cnf(c88,plain,
divide(divide(inverse(divide(divide(multiply(inverse(X2),X2),X3),X)),inverse(divide(divide(multiply(inverse(X2),X2),X3),X))),divide(X3,inverse(divide(divide(multiply(inverse(X2),X2),X3),X)))) = X,
inference(substitution,[status(thm)],[c33]) ).
cnf(c89,plain,
divide(divide(divide(inverse(divide(divide(multiply(inverse(X3),X3),X4),X2)),inverse(divide(divide(multiply(inverse(X3),X3),X4),X2))),divide(X4,inverse(divide(divide(multiply(inverse(X3),X3),X4),X2)))),X) = divide(X2,X),
inference(congruence,[status(thm)],[c88]) ).
cnf(c90,plain,
inverse(divide(divide(divide(inverse(divide(divide(multiply(inverse(X3),X3),X4),X2)),inverse(divide(divide(multiply(inverse(X3),X3),X4),X2))),divide(X4,inverse(divide(divide(multiply(inverse(X3),X3),X4),X2)))),X)) = inverse(divide(X2,X)),
inference(congruence,[status(thm)],[c89]) ).
cnf(c91,plain,
inverse(divide(divide(multiply(inverse(X5),X5),divide(X4,inverse(divide(divide(multiply(inverse(X3),X3),X4),X2)))),X)) = inverse(divide(X2,X)),
inference(transitivity,[status(thm)],[c87,c90]) ).
cnf(c92,plain,
inverse(divide(divide(multiply(inverse(X3),X3),divide(X2,inverse(divide(divide(multiply(inverse(X),X),X2),X5)))),inverse(X4))) = inverse(divide(X5,inverse(X4))),
inference(substitution,[status(thm)],[c91]) ).
cnf(c93,plain,
inverse(divide(X5,inverse(X4))) = inverse(divide(divide(multiply(inverse(X3),X3),divide(X2,inverse(divide(divide(multiply(inverse(X),X),X2),X5)))),inverse(X4))),
inference(symmetry,[status(thm)],[c92]) ).
cnf(c94,plain,
divide(inverse(divide(X6,inverse(X5))),X4) = divide(inverse(divide(divide(multiply(inverse(X3),X3),divide(X2,inverse(divide(divide(multiply(inverse(X),X),X2),X6)))),inverse(X5))),X4),
inference(congruence,[status(thm)],[c93]) ).
cnf(c95,plain,
divide(multiply(inverse(X7),X7),divide(inverse(divide(X6,inverse(X5))),X4)) = divide(multiply(inverse(X7),X7),divide(inverse(divide(divide(multiply(inverse(X3),X3),divide(X2,inverse(divide(divide(multiply(inverse(X),X),X2),X6)))),inverse(X5))),X4)),
inference(congruence,[status(thm)],[c94]) ).
cnf(c96,plain,
divide(divide(multiply(inverse(X8),X8),divide(inverse(divide(X7,inverse(X6))),X5)),multiply(X4,X6)) = divide(divide(multiply(inverse(X8),X8),divide(inverse(divide(divide(multiply(inverse(X3),X3),divide(X2,inverse(divide(divide(multiply(inverse(X),X),X2),X7)))),inverse(X6))),X5)),multiply(X4,X6)),
inference(congruence,[status(thm)],[c95]) ).
cnf(c97,plain,
inverse(divide(divide(multiply(inverse(X8),X8),divide(inverse(divide(X7,inverse(X6))),X5)),multiply(X4,X6))) = inverse(divide(divide(multiply(inverse(X8),X8),divide(inverse(divide(divide(multiply(inverse(X3),X3),divide(X2,inverse(divide(divide(multiply(inverse(X),X),X2),X7)))),inverse(X6))),X5)),multiply(X4,X6))),
inference(congruence,[status(thm)],[c96]) ).
cnf(c98,plain,
inverse(divide(divide(multiply(inverse(X),X),X8),divide(inverse(X6),divide(X8,divide(divide(X3,inverse(divide(divide(multiply(inverse(X2),X2),X3),X7))),X5))))) = divide(inverse(divide(divide(multiply(inverse(X4),X4),divide(X3,inverse(divide(divide(multiply(inverse(X2),X2),X3),X7)))),inverse(X6))),X5),
inference(substitution,[status(thm)],[c28]) ).
cnf(c99,plain,
divide(inverse(divide(divide(multiply(inverse(X5),X5),divide(X4,inverse(divide(divide(multiply(inverse(X3),X3),X4),X8)))),inverse(X7))),X6) = inverse(divide(divide(multiply(inverse(X2),X2),X),divide(inverse(X7),divide(X,divide(divide(X4,inverse(divide(divide(multiply(inverse(X3),X3),X4),X8))),X6))))),
inference(symmetry,[status(thm)],[c98]) ).
cnf(c100,plain,
divide(multiply(inverse(X9),X9),divide(inverse(divide(divide(multiply(inverse(X5),X5),divide(X4,inverse(divide(divide(multiply(inverse(X3),X3),X4),X8)))),inverse(X7))),X6)) = divide(multiply(inverse(X9),X9),inverse(divide(divide(multiply(inverse(X2),X2),X),divide(inverse(X7),divide(X,divide(divide(X4,inverse(divide(divide(multiply(inverse(X3),X3),X4),X8))),X6)))))),
inference(congruence,[status(thm)],[c99]) ).
cnf(c101,plain,
divide(divide(multiply(inverse(X10),X10),divide(inverse(divide(divide(multiply(inverse(X5),X5),divide(X4,inverse(divide(divide(multiply(inverse(X3),X3),X4),X9)))),inverse(X8))),X7)),multiply(X6,X8)) = divide(divide(multiply(inverse(X10),X10),inverse(divide(divide(multiply(inverse(X2),X2),X),divide(inverse(X8),divide(X,divide(divide(X4,inverse(divide(divide(multiply(inverse(X3),X3),X4),X9))),X7)))))),multiply(X6,X8)),
inference(congruence,[status(thm)],[c100]) ).
cnf(c102,plain,
inverse(divide(divide(multiply(inverse(X10),X10),divide(inverse(divide(divide(multiply(inverse(X5),X5),divide(X4,inverse(divide(divide(multiply(inverse(X3),X3),X4),X9)))),inverse(X8))),X7)),multiply(X6,X8))) = inverse(divide(divide(multiply(inverse(X10),X10),inverse(divide(divide(multiply(inverse(X2),X2),X),divide(inverse(X8),divide(X,divide(divide(X4,inverse(divide(divide(multiply(inverse(X3),X3),X4),X9))),X7)))))),multiply(X6,X8))),
inference(congruence,[status(thm)],[c101]) ).
cnf(c103,plain,
divide(inverse(divide(X8,divide(inverse(divide(divide(multiply(inverse(X9),X9),inverse(divide(divide(multiply(inverse(X2),X2),X),divide(inverse(X7),divide(X,divide(divide(X4,inverse(divide(divide(multiply(inverse(X3),X3),X4),X8))),X6)))))),multiply(X5,X7))),divide(divide(X4,inverse(divide(divide(multiply(inverse(X3),X3),X4),X8))),X6)))),X6) = inverse(divide(divide(multiply(inverse(X9),X9),inverse(divide(divide(multiply(inverse(X2),X2),X),divide(inverse(X7),divide(X,divide(divide(X4,inverse(divide(divide(multiply(inverse(X3),X3),X4),X8))),X6)))))),multiply(X5,X7))),
inference(substitution,[status(thm)],[c44]) ).
cnf(c104,plain,
inverse(divide(divide(multiply(inverse(X9),X9),inverse(divide(divide(multiply(inverse(X2),X2),X),divide(inverse(X7),divide(X,divide(divide(X4,inverse(divide(divide(multiply(inverse(X3),X3),X4),X8))),X6)))))),multiply(X5,X7))) = divide(inverse(divide(X8,divide(inverse(divide(divide(multiply(inverse(X9),X9),inverse(divide(divide(multiply(inverse(X2),X2),X),divide(inverse(X7),divide(X,divide(divide(X4,inverse(divide(divide(multiply(inverse(X3),X3),X4),X8))),X6)))))),multiply(X5,X7))),divide(divide(X4,inverse(divide(divide(multiply(inverse(X3),X3),X4),X8))),X6)))),X6),
inference(symmetry,[status(thm)],[c103]) ).
cnf(c105,plain,
divide(inverse(divide(divide(multiply(inverse(X9),X9),inverse(divide(divide(multiply(inverse(X2),X2),X),divide(inverse(X7),divide(X,divide(divide(X4,inverse(divide(divide(multiply(inverse(X3),X3),X4),X8))),X6)))))),multiply(X5,X7))),divide(divide(X4,inverse(divide(divide(multiply(inverse(X3),X3),X4),X8))),X6)) = X5,
inference(substitution,[status(thm)],[c56]) ).
cnf(c106,plain,
divide(X8,divide(inverse(divide(divide(multiply(inverse(X9),X9),inverse(divide(divide(multiply(inverse(X2),X2),X),divide(inverse(X7),divide(X,divide(divide(X4,inverse(divide(divide(multiply(inverse(X3),X3),X4),X8))),X6)))))),multiply(X5,X7))),divide(divide(X4,inverse(divide(divide(multiply(inverse(X3),X3),X4),X8))),X6))) = divide(X8,X5),
inference(congruence,[status(thm)],[c105]) ).
cnf(c107,plain,
inverse(divide(X8,divide(inverse(divide(divide(multiply(inverse(X9),X9),inverse(divide(divide(multiply(inverse(X2),X2),X),divide(inverse(X7),divide(X,divide(divide(X4,inverse(divide(divide(multiply(inverse(X3),X3),X4),X8))),X6)))))),multiply(X5,X7))),divide(divide(X4,inverse(divide(divide(multiply(inverse(X3),X3),X4),X8))),X6)))) = inverse(divide(X8,X5)),
inference(congruence,[status(thm)],[c106]) ).
cnf(c108,plain,
divide(inverse(divide(X8,divide(inverse(divide(divide(multiply(inverse(X9),X9),inverse(divide(divide(multiply(inverse(X2),X2),X),divide(inverse(X7),divide(X,divide(divide(X4,inverse(divide(divide(multiply(inverse(X3),X3),X4),X8))),X6)))))),multiply(X5,X7))),divide(divide(X4,inverse(divide(divide(multiply(inverse(X3),X3),X4),X8))),X6)))),X6) = divide(inverse(divide(X8,X5)),X6),
inference(congruence,[status(thm)],[c107]) ).
cnf(c109,plain,
inverse(divide(divide(multiply(inverse(X9),X9),inverse(divide(divide(multiply(inverse(X2),X2),X),divide(inverse(X7),divide(X,divide(divide(X4,inverse(divide(divide(multiply(inverse(X3),X3),X4),X8))),X6)))))),multiply(X5,X7))) = divide(inverse(divide(X8,X5)),X6),
inference(transitivity,[status(thm)],[c104,c108]) ).
cnf(c110,plain,
inverse(divide(divide(multiply(inverse(X8),X8),divide(inverse(divide(divide(multiply(inverse(X3),X3),divide(X2,inverse(divide(divide(multiply(inverse(X),X),X2),X7)))),inverse(X6))),X5)),multiply(X4,X6))) = divide(inverse(divide(X7,X4)),X5),
inference(transitivity,[status(thm)],[c102,c109]) ).
cnf(c111,plain,
inverse(divide(divide(multiply(inverse(X5),X5),divide(inverse(divide(X4,inverse(X3))),X2)),multiply(X,X3))) = divide(inverse(divide(X4,X)),X2),
inference(transitivity,[status(thm)],[c97,c110]) ).
cnf(c112,plain,
inverse(divide(divide(multiply(inverse(X6),X6),divide(inverse(divide(X3,inverse(X4))),inverse(divide(divide(multiply(inverse(X2),X2),inverse(divide(X3,inverse(X4)))),divide(multiply(inverse(X),X),X5))))),multiply(inverse(X4),X4))) = divide(inverse(divide(X3,inverse(X4))),inverse(divide(divide(multiply(inverse(X2),X2),inverse(divide(X3,inverse(X4)))),divide(multiply(inverse(X),X),X5)))),
inference(substitution,[status(thm)],[c111]) ).
cnf(c113,plain,
divide(inverse(divide(X3,inverse(X4))),inverse(divide(divide(multiply(inverse(X2),X2),inverse(divide(X3,inverse(X4)))),divide(multiply(inverse(X),X),X5)))) = X5,
inference(substitution,[status(thm)],[c59]) ).
cnf(c114,plain,
inverse(divide(divide(multiply(inverse(X6),X6),divide(inverse(divide(X3,inverse(X4))),inverse(divide(divide(multiply(inverse(X2),X2),inverse(divide(X3,inverse(X4)))),divide(multiply(inverse(X),X),X5))))),multiply(inverse(X4),X4))) = X5,
inference(transitivity,[status(thm)],[c112,c113]) ).
cnf(c115,plain,
inverse(divide(divide(multiply(inverse(X3),X3),X2),multiply(inverse(X),X))) = X2,
inference(transitivity,[status(thm)],[c64,c114]) ).
cnf(c116,plain,
inverse(divide(divide(multiply(inverse(X),X),X3),multiply(inverse(X2),X2))) = X3,
inference(substitution,[status(thm)],[c115]) ).
cnf(c117,plain,
X3 = inverse(divide(divide(multiply(inverse(X),X),X3),multiply(inverse(X2),X2))),
inference(symmetry,[status(thm)],[c116]) ).
cnf(c118,plain,
divide(X4,X3) = divide(inverse(divide(divide(multiply(inverse(X),X),X4),multiply(inverse(X2),X2))),X3),
inference(congruence,[status(thm)],[c117]) ).
cnf(c119,plain,
divide(divide(X4,X3),divide(X4,X3)) = divide(divide(inverse(divide(divide(multiply(inverse(X),X),X4),multiply(inverse(X2),X2))),X3),divide(X4,X3)),
inference(congruence,[status(thm)],[c118]) ).
cnf(c120,plain,
divide(divide(inverse(divide(divide(multiply(inverse(X),X),X4),multiply(inverse(X2),X2))),X3),divide(X4,X3)) = multiply(inverse(X2),X2),
inference(substitution,[status(thm)],[c33]) ).
cnf(c121,plain,
divide(divide(X3,X2),divide(X3,X2)) = multiply(inverse(X),X),
inference(transitivity,[status(thm)],[c119,c120]) ).
cnf(c122,plain,
divide(divide(X3,inverse(divide(divide(multiply(inverse(X2),X2),X3),divide(multiply(inverse(X),X),inverse(X5))))),divide(X3,inverse(divide(divide(multiply(inverse(X2),X2),X3),divide(multiply(inverse(X),X),inverse(X5)))))) = multiply(inverse(X4),X4),
inference(substitution,[status(thm)],[c121]) ).
cnf(c123,plain,
multiply(inverse(X4),X4) = divide(divide(X3,inverse(divide(divide(multiply(inverse(X2),X2),X3),divide(multiply(inverse(X),X),inverse(X5))))),divide(X3,inverse(divide(divide(multiply(inverse(X2),X2),X3),divide(multiply(inverse(X),X),inverse(X5)))))),
inference(symmetry,[status(thm)],[c122]) ).
cnf(c124,plain,
divide(X3,inverse(divide(divide(multiply(inverse(X2),X2),X3),divide(multiply(inverse(X),X),inverse(X4))))) = inverse(X4),
inference(substitution,[status(thm)],[c59]) ).
cnf(c125,plain,
divide(divide(X3,inverse(divide(divide(multiply(inverse(X2),X2),X3),divide(multiply(inverse(X),X),inverse(X4))))),divide(X3,inverse(divide(divide(multiply(inverse(X2),X2),X3),divide(multiply(inverse(X),X),inverse(X4)))))) = divide(inverse(X4),divide(X3,inverse(divide(divide(multiply(inverse(X2),X2),X3),divide(multiply(inverse(X),X),inverse(X4)))))),
inference(congruence,[status(thm)],[c124]) ).
cnf(c126,plain,
divide(X3,inverse(divide(divide(multiply(inverse(X2),X2),X3),divide(multiply(inverse(X),X),inverse(X4))))) = inverse(X4),
inference(substitution,[status(thm)],[c59]) ).
cnf(c127,plain,
divide(inverse(X4),divide(X3,inverse(divide(divide(multiply(inverse(X2),X2),X3),divide(multiply(inverse(X),X),inverse(X4)))))) = divide(inverse(X4),inverse(X4)),
inference(congruence,[status(thm)],[c126]) ).
cnf(c128,plain,
multiply(inverse(X),X) = divide(inverse(X),inverse(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c129,plain,
divide(inverse(X),inverse(X)) = multiply(inverse(X),X),
inference(symmetry,[status(thm)],[c128]) ).
cnf(c130,plain,
divide(inverse(X4),divide(X3,inverse(divide(divide(multiply(inverse(X2),X2),X3),divide(multiply(inverse(X),X),inverse(X4)))))) = multiply(inverse(X4),X4),
inference(transitivity,[status(thm)],[c127,c129]) ).
cnf(c131,plain,
divide(divide(X3,inverse(divide(divide(multiply(inverse(X2),X2),X3),divide(multiply(inverse(X),X),inverse(X4))))),divide(X3,inverse(divide(divide(multiply(inverse(X2),X2),X3),divide(multiply(inverse(X),X),inverse(X4)))))) = multiply(inverse(X4),X4),
inference(transitivity,[status(thm)],[c125,c130]) ).
cnf(c132,plain,
multiply(inverse(X),X) = multiply(inverse(X2),X2),
inference(transitivity,[status(thm)],[c123,c131]) ).
cnf(c133,plain,
multiply(inverse(a1),a1) = multiply(inverse(b1),b1),
inference(substitution,[status(thm)],[c132]) ).
cnf(c134,plain,
$false,
inference(resolution,[status(thm)],[c1,c133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP478-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 10:05:45 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.52/0.49 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 0.52/0.49
% 0.52/0.49 % SZS status Unsatisfiable
% 0.52/0.49
% 0.52/0.51 % SZS output start CNFRefutation
% See solution above
% 1.41/0.64
% 1.41/0.64 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------