%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP523-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 10:11:09 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.45s
% Output : CNFRefutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 73
% Number of leaves : 4
% Syntax : Number of clauses : 297 ( 297 unt; 0 nHn; 11 RR)
% Number of literals : 297 ( 296 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 706 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
cnf(c2,axiom,
inverse(A) = divide(divide(B,B),A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
cnf(c3,plain,
inverse(X2) = divide(divide(X,X),X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
divide(X3,inverse(X2)) = divide(X3,divide(divide(X,X),X2)),
inference(congruence,[status(thm)],[c3]) ).
cnf(c5,axiom,
multiply(A2,B2) = divide(A2,divide(divide(C,C),B2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c6,plain,
multiply(X3,X2) = divide(X3,divide(divide(X,X),X2)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c7,plain,
divide(X3,divide(divide(X,X),X2)) = multiply(X3,X2),
inference(symmetry,[status(thm)],[c6]) ).
cnf(c8,plain,
divide(X2,inverse(X)) = multiply(X2,X),
inference(transitivity,[status(thm)],[c4,c7]) ).
cnf(c9,plain,
divide(X,inverse(X2)) = multiply(X,X2),
inference(substitution,[status(thm)],[c8]) ).
cnf(c10,plain,
multiply(X,X2) = divide(X,inverse(X2)),
inference(symmetry,[status(thm)],[c9]) ).
cnf(c11,plain,
divide(X2,multiply(X,X2)) = divide(X2,divide(X,inverse(X2))),
inference(congruence,[status(thm)],[c10]) ).
cnf(c12,plain,
inverse(divide(X2,multiply(X,X2))) = inverse(divide(X2,divide(X,inverse(X2)))),
inference(congruence,[status(thm)],[c11]) ).
cnf(c13,plain,
inverse(X2) = divide(divide(X,X),X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c14,plain,
divide(X2,inverse(X3)) = divide(X2,divide(divide(X,X),X3)),
inference(congruence,[status(thm)],[c13]) ).
cnf(c15,plain,
divide(X3,divide(X2,inverse(X3))) = divide(X3,divide(X2,divide(divide(X,X),X3))),
inference(congruence,[status(thm)],[c14]) ).
cnf(c16,plain,
inverse(divide(X3,divide(X2,inverse(X3)))) = inverse(divide(X3,divide(X2,divide(divide(X,X),X3)))),
inference(congruence,[status(thm)],[c15]) ).
cnf(c17,plain,
inverse(divide(X3,divide(X2,divide(divide(X,X),X3)))) = divide(divide(X,X),divide(X3,divide(X2,divide(divide(X,X),X3)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c18,axiom,
divide(A2,divide(B2,divide(C2,divide(A2,B2)))) = C2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c19,plain,
divide(divide(X,X),divide(X3,divide(X2,divide(divide(X,X),X3)))) = X2,
inference(substitution,[status(thm)],[c18]) ).
cnf(c20,plain,
inverse(divide(X3,divide(X2,divide(divide(X,X),X3)))) = X2,
inference(transitivity,[status(thm)],[c17,c19]) ).
cnf(c21,plain,
inverse(divide(X2,divide(X,inverse(X2)))) = X,
inference(transitivity,[status(thm)],[c16,c20]) ).
cnf(c22,plain,
inverse(divide(X2,multiply(X,X2))) = X,
inference(transitivity,[status(thm)],[c12,c21]) ).
cnf(c23,plain,
inverse(divide(X,multiply(divide(X2,X2),X))) = divide(X2,X2),
inference(substitution,[status(thm)],[c22]) ).
cnf(c24,plain,
divide(X2,X2) = inverse(divide(X,multiply(divide(X2,X2),X))),
inference(symmetry,[status(thm)],[c23]) ).
cnf(c25,plain,
divide(divide(X2,X2),inverse(X)) = multiply(divide(X2,X2),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c26,plain,
multiply(divide(X2,X2),X) = divide(divide(X2,X2),inverse(X)),
inference(symmetry,[status(thm)],[c25]) ).
cnf(c27,plain,
inverse(inverse(X)) = divide(divide(X2,X2),inverse(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c28,plain,
divide(divide(X2,X2),inverse(X)) = inverse(inverse(X)),
inference(symmetry,[status(thm)],[c27]) ).
cnf(c29,plain,
multiply(divide(X2,X2),X) = inverse(inverse(X)),
inference(transitivity,[status(thm)],[c26,c28]) ).
cnf(c30,plain,
divide(X,multiply(divide(X2,X2),X)) = divide(X,inverse(inverse(X))),
inference(congruence,[status(thm)],[c29]) ).
cnf(c31,plain,
inverse(divide(X,multiply(divide(X2,X2),X))) = inverse(divide(X,inverse(inverse(X)))),
inference(congruence,[status(thm)],[c30]) ).
cnf(c32,plain,
inverse(inverse(X)) = multiply(divide(X2,X2),X),
inference(symmetry,[status(thm)],[c29]) ).
cnf(c33,plain,
divide(X,inverse(inverse(X))) = divide(X,multiply(divide(X2,X2),X)),
inference(congruence,[status(thm)],[c32]) ).
cnf(c34,plain,
inverse(divide(X,inverse(inverse(X)))) = inverse(divide(X,multiply(divide(X2,X2),X))),
inference(congruence,[status(thm)],[c33]) ).
cnf(c35,plain,
inverse(divide(X,multiply(divide(X2,X2),X))) = divide(X2,X2),
inference(substitution,[status(thm)],[c22]) ).
cnf(c36,plain,
inverse(divide(X,inverse(inverse(X)))) = divide(X2,X2),
inference(transitivity,[status(thm)],[c34,c35]) ).
cnf(c37,plain,
inverse(divide(X,multiply(divide(X2,X2),X))) = divide(X3,X3),
inference(transitivity,[status(thm)],[c31,c36]) ).
cnf(c38,plain,
divide(X,X) = divide(X2,X2),
inference(transitivity,[status(thm)],[c24,c37]) ).
cnf(c39,plain,
divide(X2,X2) = divide(inverse(X),inverse(X)),
inference(substitution,[status(thm)],[c38]) ).
cnf(c40,plain,
divide(inverse(X),inverse(X)) = multiply(inverse(X),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c41,plain,
divide(X2,X2) = multiply(inverse(X),X),
inference(transitivity,[status(thm)],[c39,c40]) ).
cnf(c42,plain,
divide(X,X) = multiply(inverse(X2),X2),
inference(substitution,[status(thm)],[c41]) ).
cnf(c43,plain,
multiply(inverse(X2),X2) = divide(X,X),
inference(symmetry,[status(thm)],[c42]) ).
cnf(c44,plain,
inverse(multiply(inverse(X2),X2)) = inverse(divide(X,X)),
inference(congruence,[status(thm)],[c43]) ).
cnf(c45,plain,
inverse(divide(X,X)) = divide(divide(X,X),divide(X,X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c46,plain,
divide(divide(X,X),divide(X,X)) = multiply(inverse(X2),X2),
inference(substitution,[status(thm)],[c41]) ).
cnf(c47,plain,
inverse(divide(X,X)) = multiply(inverse(X2),X2),
inference(transitivity,[status(thm)],[c45,c46]) ).
cnf(c48,plain,
inverse(multiply(inverse(X2),X2)) = multiply(inverse(X),X),
inference(transitivity,[status(thm)],[c44,c47]) ).
cnf(c49,plain,
inverse(multiply(inverse(X),X)) = multiply(inverse(X2),X2),
inference(substitution,[status(thm)],[c48]) ).
cnf(c50,plain,
multiply(inverse(X2),X2) = inverse(multiply(inverse(X),X)),
inference(symmetry,[status(thm)],[c49]) ).
cnf(c51,plain,
divide(multiply(inverse(X3),X3),X2) = divide(inverse(multiply(inverse(X),X)),X2),
inference(congruence,[status(thm)],[c50]) ).
cnf(c52,plain,
divide(X2,X2) = multiply(inverse(X),X),
inference(substitution,[status(thm)],[c41]) ).
cnf(c53,plain,
multiply(inverse(X2),X2) = divide(X,X),
inference(symmetry,[status(thm)],[c52]) ).
cnf(c54,plain,
inverse(multiply(inverse(X2),X2)) = inverse(divide(X,X)),
inference(congruence,[status(thm)],[c53]) ).
cnf(c55,plain,
divide(inverse(multiply(inverse(X2),X2)),X3) = divide(inverse(divide(X,X)),X3),
inference(congruence,[status(thm)],[c54]) ).
cnf(c56,plain,
inverse(divide(X,X)) = divide(divide(X,X),divide(X,X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c57,plain,
divide(inverse(divide(X,X)),X2) = divide(divide(divide(X,X),divide(X,X)),X2),
inference(congruence,[status(thm)],[c56]) ).
cnf(c58,plain,
inverse(X2) = divide(divide(divide(X,X),divide(X,X)),X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c59,plain,
divide(divide(divide(X,X),divide(X,X)),X2) = inverse(X2),
inference(symmetry,[status(thm)],[c58]) ).
cnf(c60,plain,
divide(inverse(divide(X,X)),X2) = inverse(X2),
inference(transitivity,[status(thm)],[c57,c59]) ).
cnf(c61,plain,
divide(inverse(multiply(inverse(X),X)),X2) = inverse(X2),
inference(transitivity,[status(thm)],[c55,c60]) ).
cnf(c62,plain,
divide(multiply(inverse(X2),X2),X) = inverse(X),
inference(transitivity,[status(thm)],[c51,c61]) ).
cnf(c63,plain,
divide(multiply(inverse(X),X),inverse(X)) = inverse(inverse(X)),
inference(substitution,[status(thm)],[c62]) ).
cnf(c64,plain,
inverse(inverse(X)) = divide(multiply(inverse(X),X),inverse(X)),
inference(symmetry,[status(thm)],[c63]) ).
cnf(c65,plain,
divide(X,X) = multiply(inverse(X2),X2),
inference(substitution,[status(thm)],[c41]) ).
cnf(c66,plain,
multiply(inverse(X2),X2) = divide(X,X),
inference(symmetry,[status(thm)],[c65]) ).
cnf(c67,plain,
divide(X3,multiply(inverse(X2),X2)) = divide(X3,divide(X,X)),
inference(congruence,[status(thm)],[c66]) ).
cnf(c68,plain,
divide(X,inverse(inverse(X))) = multiply(X,inverse(X)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c69,plain,
multiply(X,inverse(X)) = divide(X,inverse(inverse(X))),
inference(symmetry,[status(thm)],[c68]) ).
cnf(c70,plain,
inverse(multiply(X,inverse(X))) = inverse(divide(X,inverse(inverse(X)))),
inference(congruence,[status(thm)],[c69]) ).
cnf(c71,plain,
multiply(divide(X,X),X2) = inverse(inverse(X2)),
inference(substitution,[status(thm)],[c29]) ).
cnf(c72,plain,
inverse(inverse(X2)) = multiply(divide(X,X),X2),
inference(symmetry,[status(thm)],[c71]) ).
cnf(c73,plain,
divide(X2,inverse(inverse(X2))) = divide(X2,multiply(divide(X,X),X2)),
inference(congruence,[status(thm)],[c72]) ).
cnf(c74,plain,
inverse(divide(X2,inverse(inverse(X2)))) = inverse(divide(X2,multiply(divide(X,X),X2))),
inference(congruence,[status(thm)],[c73]) ).
cnf(c75,plain,
inverse(divide(X2,multiply(divide(X,X),X2))) = divide(X,X),
inference(substitution,[status(thm)],[c22]) ).
cnf(c76,plain,
inverse(divide(X2,inverse(inverse(X2)))) = divide(X,X),
inference(transitivity,[status(thm)],[c74,c75]) ).
cnf(c77,plain,
inverse(multiply(X2,inverse(X2))) = divide(X,X),
inference(transitivity,[status(thm)],[c70,c76]) ).
cnf(c78,plain,
divide(X,X) = inverse(multiply(X2,inverse(X2))),
inference(symmetry,[status(thm)],[c77]) ).
cnf(c79,plain,
divide(X3,divide(X,X)) = divide(X3,inverse(multiply(X2,inverse(X2)))),
inference(congruence,[status(thm)],[c78]) ).
cnf(c80,plain,
divide(X2,inverse(multiply(X,inverse(X)))) = multiply(X2,multiply(X,inverse(X))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c81,plain,
divide(X3,divide(X,X)) = multiply(X3,multiply(X2,inverse(X2))),
inference(transitivity,[status(thm)],[c79,c80]) ).
cnf(c82,plain,
divide(X3,multiply(inverse(X2),X2)) = multiply(X3,multiply(X,inverse(X))),
inference(transitivity,[status(thm)],[c67,c81]) ).
cnf(c83,plain,
divide(X3,multiply(inverse(X),X)) = multiply(X3,multiply(X2,inverse(X2))),
inference(substitution,[status(thm)],[c82]) ).
cnf(c84,plain,
multiply(X3,multiply(X2,inverse(X2))) = divide(X3,multiply(inverse(X),X)),
inference(symmetry,[status(thm)],[c83]) ).
cnf(c85,plain,
divide(X4,multiply(X3,multiply(X2,inverse(X2)))) = divide(X4,divide(X3,multiply(inverse(X),X))),
inference(congruence,[status(thm)],[c84]) ).
cnf(c86,plain,
divide(divide(X3,X2),divide(X3,X2)) = multiply(inverse(X),X),
inference(substitution,[status(thm)],[c41]) ).
cnf(c87,plain,
multiply(inverse(X),X) = divide(divide(X3,X2),divide(X3,X2)),
inference(symmetry,[status(thm)],[c86]) ).
cnf(c88,plain,
divide(X2,multiply(inverse(X),X)) = divide(X2,divide(divide(X3,X2),divide(X3,X2))),
inference(congruence,[status(thm)],[c87]) ).
cnf(c89,plain,
divide(X3,divide(X2,multiply(inverse(X),X))) = divide(X3,divide(X2,divide(divide(X3,X2),divide(X3,X2)))),
inference(congruence,[status(thm)],[c88]) ).
cnf(c90,plain,
divide(X2,divide(X,divide(divide(X2,X),divide(X2,X)))) = divide(X2,X),
inference(substitution,[status(thm)],[c18]) ).
cnf(c91,plain,
divide(X3,divide(X2,multiply(inverse(X),X))) = divide(X3,X2),
inference(transitivity,[status(thm)],[c89,c90]) ).
cnf(c92,plain,
divide(X3,multiply(X2,multiply(X,inverse(X)))) = divide(X3,X2),
inference(transitivity,[status(thm)],[c85,c91]) ).
cnf(c93,plain,
divide(multiply(X3,X2),multiply(X3,multiply(X,inverse(X)))) = divide(multiply(X3,X2),X3),
inference(substitution,[status(thm)],[c92]) ).
cnf(c94,plain,
divide(multiply(X3,X2),X3) = divide(multiply(X3,X2),multiply(X3,multiply(X,inverse(X)))),
inference(symmetry,[status(thm)],[c93]) ).
cnf(c95,plain,
divide(X3,multiply(inverse(X),X)) = multiply(X3,multiply(X2,inverse(X2))),
inference(substitution,[status(thm)],[c82]) ).
cnf(c96,plain,
multiply(X3,multiply(X2,inverse(X2))) = divide(X3,multiply(inverse(X),X)),
inference(symmetry,[status(thm)],[c95]) ).
cnf(c97,plain,
divide(multiply(X4,X3),multiply(X4,multiply(X2,inverse(X2)))) = divide(multiply(X4,X3),divide(X4,multiply(inverse(X),X))),
inference(congruence,[status(thm)],[c96]) ).
cnf(c98,plain,
divide(X3,inverse(divide(X2,multiply(X,X2)))) = multiply(X3,divide(X2,multiply(X,X2))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c99,plain,
multiply(X3,divide(X2,multiply(X,X2))) = divide(X3,inverse(divide(X2,multiply(X,X2)))),
inference(symmetry,[status(thm)],[c98]) ).
cnf(c100,plain,
divide(X3,inverse(divide(X2,multiply(X,X2)))) = divide(X3,X),
inference(congruence,[status(thm)],[c22]) ).
cnf(c101,plain,
multiply(X3,divide(X2,multiply(X,X2))) = divide(X3,X),
inference(transitivity,[status(thm)],[c99,c100]) ).
cnf(c102,plain,
multiply(multiply(X,X2),divide(X2,multiply(X,X2))) = divide(multiply(X,X2),X),
inference(substitution,[status(thm)],[c101]) ).
cnf(c103,plain,
divide(multiply(X,X2),X) = multiply(multiply(X,X2),divide(X2,multiply(X,X2))),
inference(symmetry,[status(thm)],[c102]) ).
cnf(c104,plain,
divide(X2,divide(multiply(X,X2),X)) = divide(X2,multiply(multiply(X,X2),divide(X2,multiply(X,X2)))),
inference(congruence,[status(thm)],[c103]) ).
cnf(c105,plain,
divide(X,inverse(divide(X2,X))) = multiply(X,divide(X2,X)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c106,plain,
multiply(X,divide(X2,X)) = divide(X,inverse(divide(X2,X))),
inference(symmetry,[status(thm)],[c105]) ).
cnf(c107,plain,
divide(X2,multiply(X,divide(X2,X))) = divide(X2,divide(X,inverse(divide(X2,X)))),
inference(congruence,[status(thm)],[c106]) ).
cnf(c108,plain,
inverse(divide(X3,X2)) = divide(divide(X,X),divide(X3,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c109,plain,
divide(X2,inverse(divide(X3,X2))) = divide(X2,divide(divide(X,X),divide(X3,X2))),
inference(congruence,[status(thm)],[c108]) ).
cnf(c110,plain,
divide(X3,divide(X2,inverse(divide(X3,X2)))) = divide(X3,divide(X2,divide(divide(X,X),divide(X3,X2)))),
inference(congruence,[status(thm)],[c109]) ).
cnf(c111,plain,
divide(X3,divide(X2,divide(divide(X,X),divide(X3,X2)))) = divide(X,X),
inference(substitution,[status(thm)],[c18]) ).
cnf(c112,plain,
divide(X,X) = multiply(inverse(X2),X2),
inference(substitution,[status(thm)],[c41]) ).
cnf(c113,plain,
divide(X4,divide(X3,divide(divide(X,X),divide(X4,X3)))) = multiply(inverse(X2),X2),
inference(transitivity,[status(thm)],[c111,c112]) ).
cnf(c114,plain,
divide(X3,divide(X2,inverse(divide(X3,X2)))) = multiply(inverse(X),X),
inference(transitivity,[status(thm)],[c110,c113]) ).
cnf(c115,plain,
divide(X3,multiply(X2,divide(X3,X2))) = multiply(inverse(X),X),
inference(transitivity,[status(thm)],[c107,c114]) ).
cnf(c116,plain,
divide(X3,multiply(multiply(X2,X3),divide(X3,multiply(X2,X3)))) = multiply(inverse(X),X),
inference(substitution,[status(thm)],[c115]) ).
cnf(c117,plain,
divide(X3,divide(multiply(X2,X3),X2)) = multiply(inverse(X),X),
inference(transitivity,[status(thm)],[c104,c116]) ).
cnf(c118,plain,
divide(X2,divide(multiply(X3,X2),X3)) = multiply(inverse(X),X),
inference(substitution,[status(thm)],[c117]) ).
cnf(c119,plain,
multiply(inverse(X),X) = divide(X2,divide(multiply(X3,X2),X3)),
inference(symmetry,[status(thm)],[c118]) ).
cnf(c120,plain,
divide(X3,multiply(inverse(X),X)) = divide(X3,divide(X2,divide(multiply(X3,X2),X3))),
inference(congruence,[status(thm)],[c119]) ).
cnf(c121,plain,
divide(multiply(X3,X2),divide(X3,multiply(inverse(X),X))) = divide(multiply(X3,X2),divide(X3,divide(X2,divide(multiply(X3,X2),X3)))),
inference(congruence,[status(thm)],[c120]) ).
cnf(c122,plain,
divide(multiply(X2,X),divide(X2,divide(X,divide(multiply(X2,X),X2)))) = X,
inference(substitution,[status(thm)],[c18]) ).
cnf(c123,plain,
divide(multiply(X3,X2),divide(X3,multiply(inverse(X),X))) = X2,
inference(transitivity,[status(thm)],[c121,c122]) ).
cnf(c124,plain,
divide(multiply(X3,X2),multiply(X3,multiply(X,inverse(X)))) = X2,
inference(transitivity,[status(thm)],[c97,c123]) ).
cnf(c125,plain,
divide(multiply(X2,X),X2) = X,
inference(transitivity,[status(thm)],[c94,c124]) ).
cnf(c126,plain,
divide(multiply(inverse(X),X),inverse(X)) = X,
inference(substitution,[status(thm)],[c125]) ).
cnf(c127,plain,
inverse(inverse(X)) = X,
inference(transitivity,[status(thm)],[c64,c126]) ).
cnf(c128,plain,
inverse(inverse(multiply(X2,multiply(X,inverse(X))))) = multiply(X2,multiply(X,inverse(X))),
inference(substitution,[status(thm)],[c127]) ).
cnf(c129,plain,
multiply(X2,multiply(X,inverse(X))) = inverse(inverse(multiply(X2,multiply(X,inverse(X))))),
inference(symmetry,[status(thm)],[c128]) ).
cnf(c130,plain,
divide(X,divide(multiply(inverse(X),X),inverse(X))) = multiply(inverse(X2),X2),
inference(substitution,[status(thm)],[c117]) ).
cnf(c131,plain,
multiply(inverse(X2),X2) = divide(X,divide(multiply(inverse(X),X),inverse(X))),
inference(symmetry,[status(thm)],[c130]) ).
cnf(c132,plain,
divide(multiply(inverse(X),X),inverse(X)) = inverse(inverse(X)),
inference(substitution,[status(thm)],[c62]) ).
cnf(c133,plain,
divide(X,divide(multiply(inverse(X),X),inverse(X))) = divide(X,inverse(inverse(X))),
inference(congruence,[status(thm)],[c132]) ).
cnf(c134,plain,
divide(X,inverse(inverse(X))) = multiply(X,inverse(X)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c135,plain,
divide(X,divide(multiply(inverse(X),X),inverse(X))) = multiply(X,inverse(X)),
inference(transitivity,[status(thm)],[c133,c134]) ).
cnf(c136,plain,
multiply(inverse(X2),X2) = multiply(X,inverse(X)),
inference(transitivity,[status(thm)],[c131,c135]) ).
cnf(c137,plain,
multiply(inverse(X),X) = multiply(X2,inverse(X2)),
inference(substitution,[status(thm)],[c136]) ).
cnf(c138,plain,
multiply(X2,inverse(X2)) = multiply(inverse(X),X),
inference(symmetry,[status(thm)],[c137]) ).
cnf(c139,plain,
multiply(X3,multiply(X2,inverse(X2))) = multiply(X3,multiply(inverse(X),X)),
inference(congruence,[status(thm)],[c138]) ).
cnf(c140,plain,
inverse(multiply(X3,multiply(X2,inverse(X2)))) = inverse(multiply(X3,multiply(inverse(X),X))),
inference(congruence,[status(thm)],[c139]) ).
cnf(c141,plain,
inverse(inverse(multiply(X3,multiply(X2,inverse(X2))))) = inverse(inverse(multiply(X3,multiply(inverse(X),X)))),
inference(congruence,[status(thm)],[c140]) ).
cnf(c142,plain,
divide(X,X) = multiply(inverse(X2),X2),
inference(substitution,[status(thm)],[c41]) ).
cnf(c143,plain,
multiply(inverse(X2),X2) = divide(X,X),
inference(symmetry,[status(thm)],[c142]) ).
cnf(c144,plain,
multiply(X3,multiply(inverse(X2),X2)) = multiply(X3,divide(X,X)),
inference(congruence,[status(thm)],[c143]) ).
cnf(c145,plain,
inverse(multiply(X3,multiply(inverse(X2),X2))) = inverse(multiply(X3,divide(X,X))),
inference(congruence,[status(thm)],[c144]) ).
cnf(c146,plain,
inverse(inverse(multiply(X3,multiply(inverse(X2),X2)))) = inverse(inverse(multiply(X3,divide(X,X)))),
inference(congruence,[status(thm)],[c145]) ).
cnf(c147,plain,
inverse(multiply(X2,divide(X,X))) = divide(divide(X,X),multiply(X2,divide(X,X))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c148,plain,
inverse(inverse(multiply(X2,divide(X,X)))) = inverse(divide(divide(X,X),multiply(X2,divide(X,X)))),
inference(congruence,[status(thm)],[c147]) ).
cnf(c149,plain,
inverse(divide(divide(X,X),multiply(X2,divide(X,X)))) = X2,
inference(substitution,[status(thm)],[c22]) ).
cnf(c150,plain,
inverse(inverse(multiply(X2,divide(X,X)))) = X2,
inference(transitivity,[status(thm)],[c148,c149]) ).
cnf(c151,plain,
inverse(inverse(multiply(X2,multiply(inverse(X),X)))) = X2,
inference(transitivity,[status(thm)],[c146,c150]) ).
cnf(c152,plain,
inverse(inverse(multiply(X2,multiply(X,inverse(X))))) = X2,
inference(transitivity,[status(thm)],[c141,c151]) ).
cnf(c153,plain,
multiply(X2,multiply(X,inverse(X))) = X2,
inference(transitivity,[status(thm)],[c129,c152]) ).
cnf(c154,plain,
multiply(inverse(X2),multiply(X,inverse(X))) = inverse(X2),
inference(substitution,[status(thm)],[c153]) ).
cnf(c155,plain,
inverse(X2) = multiply(inverse(X2),multiply(X,inverse(X))),
inference(symmetry,[status(thm)],[c154]) ).
cnf(c156,plain,
multiply(X2,inverse(X3)) = multiply(X2,multiply(inverse(X3),multiply(X,inverse(X)))),
inference(congruence,[status(thm)],[c155]) ).
cnf(c157,plain,
multiply(X3,multiply(X2,inverse(X3))) = multiply(X3,multiply(X2,multiply(inverse(X3),multiply(X,inverse(X))))),
inference(congruence,[status(thm)],[c156]) ).
cnf(c158,plain,
multiply(inverse(X),X) = multiply(X2,inverse(X2)),
inference(substitution,[status(thm)],[c136]) ).
cnf(c159,plain,
multiply(X2,inverse(X2)) = multiply(inverse(X),X),
inference(symmetry,[status(thm)],[c158]) ).
cnf(c160,plain,
multiply(inverse(X3),multiply(X2,inverse(X2))) = multiply(inverse(X3),multiply(inverse(X),X)),
inference(congruence,[status(thm)],[c159]) ).
cnf(c161,plain,
multiply(X3,multiply(inverse(X4),multiply(X2,inverse(X2)))) = multiply(X3,multiply(inverse(X4),multiply(inverse(X),X))),
inference(congruence,[status(thm)],[c160]) ).
cnf(c162,plain,
multiply(X4,multiply(X3,multiply(inverse(X4),multiply(X2,inverse(X2))))) = multiply(X4,multiply(X3,multiply(inverse(X4),multiply(inverse(X),X)))),
inference(congruence,[status(thm)],[c161]) ).
cnf(c163,plain,
divide(X2,X2) = multiply(inverse(X),X),
inference(substitution,[status(thm)],[c41]) ).
cnf(c164,plain,
multiply(inverse(X2),X2) = divide(X,X),
inference(symmetry,[status(thm)],[c163]) ).
cnf(c165,plain,
multiply(inverse(X3),multiply(inverse(X2),X2)) = multiply(inverse(X3),divide(X,X)),
inference(congruence,[status(thm)],[c164]) ).
cnf(c166,plain,
multiply(X3,multiply(inverse(X4),multiply(inverse(X2),X2))) = multiply(X3,multiply(inverse(X4),divide(X,X))),
inference(congruence,[status(thm)],[c165]) ).
cnf(c167,plain,
multiply(X4,multiply(X3,multiply(inverse(X4),multiply(inverse(X2),X2)))) = multiply(X4,multiply(X3,multiply(inverse(X4),divide(X,X)))),
inference(congruence,[status(thm)],[c166]) ).
cnf(c168,plain,
inverse(inverse(inverse(multiply(X2,inverse(X))))) = inverse(multiply(X2,inverse(X))),
inference(substitution,[status(thm)],[c127]) ).
cnf(c169,plain,
inverse(multiply(X2,inverse(X))) = inverse(inverse(inverse(multiply(X2,inverse(X))))),
inference(symmetry,[status(thm)],[c168]) ).
cnf(c170,plain,
multiply(divide(X,X),inverse(multiply(X3,inverse(X2)))) = inverse(inverse(inverse(multiply(X3,inverse(X2))))),
inference(substitution,[status(thm)],[c29]) ).
cnf(c171,plain,
inverse(inverse(inverse(multiply(X3,inverse(X2))))) = multiply(divide(X,X),inverse(multiply(X3,inverse(X2)))),
inference(symmetry,[status(thm)],[c170]) ).
cnf(c172,plain,
X = inverse(inverse(X)),
inference(symmetry,[status(thm)],[c127]) ).
cnf(c173,plain,
divide(X2,X) = divide(X2,inverse(inverse(X))),
inference(congruence,[status(thm)],[c172]) ).
cnf(c174,plain,
divide(X2,inverse(inverse(X))) = multiply(X2,inverse(X)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c175,plain,
divide(X2,X) = multiply(X2,inverse(X)),
inference(transitivity,[status(thm)],[c173,c174]) ).
cnf(c176,plain,
multiply(X2,inverse(X)) = divide(X2,X),
inference(symmetry,[status(thm)],[c175]) ).
cnf(c177,plain,
multiply(multiply(X3,inverse(X2)),X) = multiply(divide(X3,X2),X),
inference(congruence,[status(thm)],[c176]) ).
cnf(c178,plain,
divide(X3,divide(X2,divide(multiply(divide(X3,X2),X),divide(X3,X2)))) = multiply(divide(X3,X2),X),
inference(substitution,[status(thm)],[c18]) ).
cnf(c179,plain,
multiply(divide(X3,X2),X) = divide(X3,divide(X2,divide(multiply(divide(X3,X2),X),divide(X3,X2)))),
inference(symmetry,[status(thm)],[c178]) ).
cnf(c180,plain,
divide(multiply(divide(X3,X2),X),divide(X3,X2)) = X,
inference(substitution,[status(thm)],[c125]) ).
cnf(c181,plain,
divide(X2,divide(multiply(divide(X3,X2),X),divide(X3,X2))) = divide(X2,X),
inference(congruence,[status(thm)],[c180]) ).
cnf(c182,plain,
divide(X3,divide(X2,divide(multiply(divide(X3,X2),X),divide(X3,X2)))) = divide(X3,divide(X2,X)),
inference(congruence,[status(thm)],[c181]) ).
cnf(c183,plain,
divide(X3,divide(X2,X)) = multiply(X3,inverse(divide(X2,X))),
inference(substitution,[status(thm)],[c175]) ).
cnf(c184,plain,
inverse(divide(X2,X)) = inverse(multiply(X2,inverse(X))),
inference(congruence,[status(thm)],[c175]) ).
cnf(c185,plain,
multiply(X3,inverse(divide(X2,X))) = multiply(X3,inverse(multiply(X2,inverse(X)))),
inference(congruence,[status(thm)],[c184]) ).
cnf(c186,plain,
divide(X3,divide(X2,X)) = multiply(X3,inverse(multiply(X2,inverse(X)))),
inference(transitivity,[status(thm)],[c183,c185]) ).
cnf(c187,plain,
divide(X3,divide(X2,divide(multiply(divide(X3,X2),X),divide(X3,X2)))) = multiply(X3,inverse(multiply(X2,inverse(X)))),
inference(transitivity,[status(thm)],[c182,c186]) ).
cnf(c188,plain,
multiply(divide(X3,X2),X) = multiply(X3,inverse(multiply(X2,inverse(X)))),
inference(transitivity,[status(thm)],[c179,c187]) ).
cnf(c189,plain,
multiply(multiply(X3,inverse(X2)),X) = multiply(X3,inverse(multiply(X2,inverse(X)))),
inference(transitivity,[status(thm)],[c177,c188]) ).
cnf(c190,plain,
multiply(multiply(divide(X,X),inverse(X3)),X2) = multiply(divide(X,X),inverse(multiply(X3,inverse(X2)))),
inference(substitution,[status(thm)],[c189]) ).
cnf(c191,plain,
multiply(divide(X,X),inverse(multiply(X3,inverse(X2)))) = multiply(multiply(divide(X,X),inverse(X3)),X2),
inference(symmetry,[status(thm)],[c190]) ).
cnf(c192,plain,
multiply(divide(X,X),inverse(X2)) = inverse(inverse(inverse(X2))),
inference(substitution,[status(thm)],[c29]) ).
cnf(c193,plain,
multiply(multiply(divide(X,X),inverse(X3)),X2) = multiply(inverse(inverse(inverse(X3))),X2),
inference(congruence,[status(thm)],[c192]) ).
cnf(c194,plain,
inverse(inverse(inverse(X))) = inverse(X),
inference(substitution,[status(thm)],[c127]) ).
cnf(c195,plain,
multiply(inverse(inverse(inverse(X2))),X) = multiply(inverse(X2),X),
inference(congruence,[status(thm)],[c194]) ).
cnf(c196,plain,
multiply(multiply(divide(X,X),inverse(X3)),X2) = multiply(inverse(X3),X2),
inference(transitivity,[status(thm)],[c193,c195]) ).
cnf(c197,plain,
multiply(divide(X,X),inverse(multiply(X3,inverse(X2)))) = multiply(inverse(X3),X2),
inference(transitivity,[status(thm)],[c191,c196]) ).
cnf(c198,plain,
inverse(inverse(inverse(multiply(X2,inverse(X))))) = multiply(inverse(X2),X),
inference(transitivity,[status(thm)],[c171,c197]) ).
cnf(c199,plain,
inverse(multiply(X2,inverse(X))) = multiply(inverse(X2),X),
inference(transitivity,[status(thm)],[c169,c198]) ).
cnf(c200,plain,
inverse(multiply(X2,inverse(divide(X,X)))) = multiply(inverse(X2),divide(X,X)),
inference(substitution,[status(thm)],[c199]) ).
cnf(c201,plain,
multiply(inverse(X2),divide(X,X)) = inverse(multiply(X2,inverse(divide(X,X)))),
inference(symmetry,[status(thm)],[c200]) ).
cnf(c202,plain,
multiply(X2,multiply(inverse(X3),divide(X,X))) = multiply(X2,inverse(multiply(X3,inverse(divide(X,X))))),
inference(congruence,[status(thm)],[c201]) ).
cnf(c203,plain,
multiply(X3,multiply(X2,multiply(inverse(X3),divide(X,X)))) = multiply(X3,multiply(X2,inverse(multiply(X3,inverse(divide(X,X)))))),
inference(congruence,[status(thm)],[c202]) ).
cnf(c204,plain,
divide(X2,divide(X,X)) = multiply(X2,inverse(divide(X,X))),
inference(substitution,[status(thm)],[c175]) ).
cnf(c205,plain,
multiply(X2,inverse(divide(X,X))) = divide(X2,divide(X,X)),
inference(symmetry,[status(thm)],[c204]) ).
cnf(c206,plain,
inverse(multiply(X2,inverse(divide(X,X)))) = inverse(divide(X2,divide(X,X))),
inference(congruence,[status(thm)],[c205]) ).
cnf(c207,plain,
multiply(X2,inverse(multiply(X3,inverse(divide(X,X))))) = multiply(X2,inverse(divide(X3,divide(X,X)))),
inference(congruence,[status(thm)],[c206]) ).
cnf(c208,plain,
multiply(X3,multiply(X2,inverse(multiply(X3,inverse(divide(X,X)))))) = multiply(X3,multiply(X2,inverse(divide(X3,divide(X,X))))),
inference(congruence,[status(thm)],[c207]) ).
cnf(c209,plain,
divide(X2,divide(X3,divide(X,X))) = multiply(X2,inverse(divide(X3,divide(X,X)))),
inference(substitution,[status(thm)],[c175]) ).
cnf(c210,plain,
multiply(X2,inverse(divide(X3,divide(X,X)))) = divide(X2,divide(X3,divide(X,X))),
inference(symmetry,[status(thm)],[c209]) ).
cnf(c211,plain,
multiply(X3,multiply(X2,inverse(divide(X3,divide(X,X))))) = multiply(X3,divide(X2,divide(X3,divide(X,X)))),
inference(congruence,[status(thm)],[c210]) ).
cnf(c212,plain,
divide(X3,inverse(divide(X2,divide(X3,divide(X,X))))) = multiply(X3,divide(X2,divide(X3,divide(X,X)))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c213,plain,
multiply(X3,divide(X2,divide(X3,divide(X,X)))) = divide(X3,inverse(divide(X2,divide(X3,divide(X,X))))),
inference(symmetry,[status(thm)],[c212]) ).
cnf(c214,plain,
inverse(divide(X2,divide(X3,divide(X,X)))) = divide(divide(X,X),divide(X2,divide(X3,divide(X,X)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c215,plain,
divide(X3,inverse(divide(X2,divide(X3,divide(X,X))))) = divide(X3,divide(divide(X,X),divide(X2,divide(X3,divide(X,X))))),
inference(congruence,[status(thm)],[c214]) ).
cnf(c216,plain,
divide(X3,divide(divide(X,X),divide(X2,divide(X3,divide(X,X))))) = X2,
inference(substitution,[status(thm)],[c18]) ).
cnf(c217,plain,
divide(X3,inverse(divide(X2,divide(X3,divide(X,X))))) = X2,
inference(transitivity,[status(thm)],[c215,c216]) ).
cnf(c218,plain,
multiply(X3,divide(X2,divide(X3,divide(X,X)))) = X2,
inference(transitivity,[status(thm)],[c213,c217]) ).
cnf(c219,plain,
multiply(X3,multiply(X2,inverse(divide(X3,divide(X,X))))) = X2,
inference(transitivity,[status(thm)],[c211,c218]) ).
cnf(c220,plain,
multiply(X3,multiply(X2,inverse(multiply(X3,inverse(divide(X,X)))))) = X2,
inference(transitivity,[status(thm)],[c208,c219]) ).
cnf(c221,plain,
multiply(X3,multiply(X2,multiply(inverse(X3),divide(X,X)))) = X2,
inference(transitivity,[status(thm)],[c203,c220]) ).
cnf(c222,plain,
multiply(X3,multiply(X2,multiply(inverse(X3),multiply(inverse(X),X)))) = X2,
inference(transitivity,[status(thm)],[c167,c221]) ).
cnf(c223,plain,
multiply(X3,multiply(X2,multiply(inverse(X3),multiply(X,inverse(X))))) = X2,
inference(transitivity,[status(thm)],[c162,c222]) ).
cnf(c224,plain,
multiply(X2,multiply(X,inverse(X2))) = X,
inference(transitivity,[status(thm)],[c157,c223]) ).
cnf(c225,plain,
multiply(inverse(X),multiply(X2,inverse(inverse(X)))) = X2,
inference(substitution,[status(thm)],[c224]) ).
cnf(c226,plain,
X2 = multiply(inverse(X),multiply(X2,inverse(inverse(X)))),
inference(symmetry,[status(thm)],[c225]) ).
cnf(c227,plain,
multiply(X,X2) = multiply(X,multiply(inverse(X),multiply(X2,inverse(inverse(X))))),
inference(congruence,[status(thm)],[c226]) ).
cnf(c228,plain,
X2 = multiply(X2,multiply(X,inverse(X))),
inference(symmetry,[status(thm)],[c153]) ).
cnf(c229,plain,
multiply(inverse(X3),X2) = multiply(inverse(X3),multiply(X2,multiply(X,inverse(X)))),
inference(congruence,[status(thm)],[c228]) ).
cnf(c230,plain,
multiply(X3,multiply(inverse(X3),X2)) = multiply(X3,multiply(inverse(X3),multiply(X2,multiply(X,inverse(X))))),
inference(congruence,[status(thm)],[c229]) ).
cnf(c231,plain,
multiply(inverse(X),X) = multiply(X2,inverse(X2)),
inference(substitution,[status(thm)],[c136]) ).
cnf(c232,plain,
multiply(X2,inverse(X2)) = multiply(inverse(X),X),
inference(symmetry,[status(thm)],[c231]) ).
cnf(c233,plain,
multiply(X3,multiply(X2,inverse(X2))) = multiply(X3,multiply(inverse(X),X)),
inference(congruence,[status(thm)],[c232]) ).
cnf(c234,plain,
multiply(inverse(X4),multiply(X3,multiply(X2,inverse(X2)))) = multiply(inverse(X4),multiply(X3,multiply(inverse(X),X))),
inference(congruence,[status(thm)],[c233]) ).
cnf(c235,plain,
multiply(X4,multiply(inverse(X4),multiply(X3,multiply(X2,inverse(X2))))) = multiply(X4,multiply(inverse(X4),multiply(X3,multiply(inverse(X),X)))),
inference(congruence,[status(thm)],[c234]) ).
cnf(c236,plain,
divide(X,X) = multiply(inverse(X2),X2),
inference(substitution,[status(thm)],[c41]) ).
cnf(c237,plain,
multiply(inverse(X2),X2) = divide(X,X),
inference(symmetry,[status(thm)],[c236]) ).
cnf(c238,plain,
multiply(X3,multiply(inverse(X2),X2)) = multiply(X3,divide(X,X)),
inference(congruence,[status(thm)],[c237]) ).
cnf(c239,plain,
multiply(inverse(X4),multiply(X3,multiply(inverse(X2),X2))) = multiply(inverse(X4),multiply(X3,divide(X,X))),
inference(congruence,[status(thm)],[c238]) ).
cnf(c240,plain,
multiply(X4,multiply(inverse(X4),multiply(X3,multiply(inverse(X2),X2)))) = multiply(X4,multiply(inverse(X4),multiply(X3,divide(X,X)))),
inference(congruence,[status(thm)],[c239]) ).
cnf(c241,plain,
inverse(multiply(X3,inverse(multiply(X2,divide(X,X))))) = multiply(inverse(X3),multiply(X2,divide(X,X))),
inference(substitution,[status(thm)],[c199]) ).
cnf(c242,plain,
multiply(inverse(X3),multiply(X2,divide(X,X))) = inverse(multiply(X3,inverse(multiply(X2,divide(X,X))))),
inference(symmetry,[status(thm)],[c241]) ).
cnf(c243,plain,
multiply(X3,multiply(inverse(X3),multiply(X2,divide(X,X)))) = multiply(X3,inverse(multiply(X3,inverse(multiply(X2,divide(X,X)))))),
inference(congruence,[status(thm)],[c242]) ).
cnf(c244,plain,
multiply(multiply(X3,inverse(X3)),multiply(X2,divide(X,X))) = multiply(X3,inverse(multiply(X3,inverse(multiply(X2,divide(X,X)))))),
inference(substitution,[status(thm)],[c189]) ).
cnf(c245,plain,
multiply(X3,inverse(multiply(X3,inverse(multiply(X2,divide(X,X)))))) = multiply(multiply(X3,inverse(X3)),multiply(X2,divide(X,X))),
inference(symmetry,[status(thm)],[c244]) ).
cnf(c246,plain,
divide(X,X) = inverse(multiply(X2,inverse(X2))),
inference(symmetry,[status(thm)],[c77]) ).
cnf(c247,plain,
multiply(X2,divide(X,X)) = multiply(X2,inverse(multiply(X3,inverse(X3)))),
inference(congruence,[status(thm)],[c246]) ).
cnf(c248,plain,
multiply(multiply(X3,inverse(X3)),multiply(X2,divide(X,X))) = multiply(multiply(X3,inverse(X3)),multiply(X2,inverse(multiply(X3,inverse(X3))))),
inference(congruence,[status(thm)],[c247]) ).
cnf(c249,plain,
multiply(multiply(X2,inverse(X2)),multiply(X,inverse(multiply(X2,inverse(X2))))) = X,
inference(substitution,[status(thm)],[c224]) ).
cnf(c250,plain,
multiply(multiply(X3,inverse(X3)),multiply(X2,divide(X,X))) = X2,
inference(transitivity,[status(thm)],[c248,c249]) ).
cnf(c251,plain,
multiply(X3,inverse(multiply(X3,inverse(multiply(X2,divide(X,X)))))) = X2,
inference(transitivity,[status(thm)],[c245,c250]) ).
cnf(c252,plain,
multiply(X3,multiply(inverse(X3),multiply(X2,divide(X,X)))) = X2,
inference(transitivity,[status(thm)],[c243,c251]) ).
cnf(c253,plain,
multiply(X3,multiply(inverse(X3),multiply(X2,multiply(inverse(X),X)))) = X2,
inference(transitivity,[status(thm)],[c240,c252]) ).
cnf(c254,plain,
multiply(X3,multiply(inverse(X3),multiply(X2,multiply(X,inverse(X))))) = X2,
inference(transitivity,[status(thm)],[c235,c253]) ).
cnf(c255,plain,
multiply(X2,multiply(inverse(X2),X)) = X,
inference(transitivity,[status(thm)],[c230,c254]) ).
cnf(c256,plain,
multiply(X,multiply(inverse(X),multiply(X2,inverse(inverse(X))))) = multiply(X2,inverse(inverse(X))),
inference(substitution,[status(thm)],[c255]) ).
cnf(c257,plain,
multiply(X2,inverse(inverse(X))) = multiply(X2,X),
inference(congruence,[status(thm)],[c127]) ).
cnf(c258,plain,
multiply(X,multiply(inverse(X),multiply(X2,inverse(inverse(X))))) = multiply(X2,X),
inference(transitivity,[status(thm)],[c256,c257]) ).
cnf(c259,plain,
multiply(X,X2) = multiply(X2,X),
inference(transitivity,[status(thm)],[c227,c258]) ).
cnf(c260,plain,
multiply(c3,multiply(a3,b3)) = multiply(multiply(a3,b3),c3),
inference(substitution,[status(thm)],[c259]) ).
cnf(c261,plain,
multiply(multiply(a3,b3),c3) = multiply(c3,multiply(a3,b3)),
inference(symmetry,[status(thm)],[c260]) ).
cnf(c262,plain,
inverse(divide(X,multiply(X2,X))) = X2,
inference(substitution,[status(thm)],[c22]) ).
cnf(c263,plain,
X2 = inverse(divide(X,multiply(X2,X))),
inference(symmetry,[status(thm)],[c262]) ).
cnf(c264,plain,
multiply(X3,X2) = multiply(X3,inverse(divide(X,multiply(X2,X)))),
inference(congruence,[status(thm)],[c263]) ).
cnf(c265,plain,
multiply(X3,multiply(X4,X2)) = multiply(X3,multiply(X4,inverse(divide(X,multiply(X2,X))))),
inference(congruence,[status(thm)],[c264]) ).
cnf(c266,plain,
multiply(X3,multiply(X2,inverse(X))) = multiply(multiply(X2,inverse(X)),X3),
inference(substitution,[status(thm)],[c259]) ).
cnf(c267,plain,
multiply(multiply(X2,inverse(X)),X3) = multiply(X2,inverse(multiply(X,inverse(X3)))),
inference(substitution,[status(thm)],[c189]) ).
cnf(c268,plain,
multiply(X,multiply(inverse(X),inverse(multiply(X2,inverse(X))))) = inverse(multiply(X2,inverse(X))),
inference(substitution,[status(thm)],[c255]) ).
cnf(c269,plain,
inverse(multiply(X2,inverse(X))) = multiply(X,multiply(inverse(X),inverse(multiply(X2,inverse(X))))),
inference(symmetry,[status(thm)],[c268]) ).
cnf(c270,plain,
divide(X2,multiply(X,X2)) = multiply(X2,inverse(multiply(X,X2))),
inference(substitution,[status(thm)],[c175]) ).
cnf(c271,plain,
multiply(X2,inverse(multiply(X,X2))) = divide(X2,multiply(X,X2)),
inference(symmetry,[status(thm)],[c270]) ).
cnf(c272,plain,
inverse(inverse(divide(X2,multiply(X,X2)))) = divide(X2,multiply(X,X2)),
inference(substitution,[status(thm)],[c127]) ).
cnf(c273,plain,
divide(X2,multiply(X,X2)) = inverse(inverse(divide(X2,multiply(X,X2)))),
inference(symmetry,[status(thm)],[c272]) ).
cnf(c274,plain,
inverse(inverse(divide(X2,multiply(X,X2)))) = inverse(X),
inference(congruence,[status(thm)],[c22]) ).
cnf(c275,plain,
divide(X2,multiply(X,X2)) = inverse(X),
inference(transitivity,[status(thm)],[c273,c274]) ).
cnf(c276,plain,
multiply(X2,inverse(multiply(X,X2))) = inverse(X),
inference(transitivity,[status(thm)],[c271,c275]) ).
cnf(c277,plain,
multiply(inverse(X),inverse(multiply(X2,inverse(X)))) = inverse(X2),
inference(substitution,[status(thm)],[c276]) ).
cnf(c278,plain,
multiply(X,multiply(inverse(X),inverse(multiply(X2,inverse(X))))) = multiply(X,inverse(X2)),
inference(congruence,[status(thm)],[c277]) ).
cnf(c279,plain,
inverse(multiply(X2,inverse(X))) = multiply(X,inverse(X2)),
inference(transitivity,[status(thm)],[c269,c278]) ).
cnf(c280,plain,
inverse(multiply(X,inverse(X2))) = multiply(X2,inverse(X)),
inference(substitution,[status(thm)],[c279]) ).
cnf(c281,plain,
multiply(X2,inverse(multiply(X,inverse(X3)))) = multiply(X2,multiply(X3,inverse(X))),
inference(congruence,[status(thm)],[c280]) ).
cnf(c282,plain,
multiply(multiply(X2,inverse(X)),X3) = multiply(X2,multiply(X3,inverse(X))),
inference(transitivity,[status(thm)],[c267,c281]) ).
cnf(c283,plain,
multiply(X3,multiply(X2,inverse(X))) = multiply(X2,multiply(X3,inverse(X))),
inference(transitivity,[status(thm)],[c266,c282]) ).
cnf(c284,plain,
multiply(X3,multiply(X4,inverse(divide(X,multiply(X2,X))))) = multiply(X4,multiply(X3,inverse(divide(X,multiply(X2,X))))),
inference(substitution,[status(thm)],[c283]) ).
cnf(c285,plain,
inverse(divide(X,multiply(X2,X))) = X2,
inference(substitution,[status(thm)],[c22]) ).
cnf(c286,plain,
multiply(X3,inverse(divide(X,multiply(X2,X)))) = multiply(X3,X2),
inference(congruence,[status(thm)],[c285]) ).
cnf(c287,plain,
multiply(X4,multiply(X3,inverse(divide(X,multiply(X2,X))))) = multiply(X4,multiply(X3,X2)),
inference(congruence,[status(thm)],[c286]) ).
cnf(c288,plain,
multiply(X3,multiply(X4,inverse(divide(X,multiply(X2,X))))) = multiply(X4,multiply(X3,X2)),
inference(transitivity,[status(thm)],[c284,c287]) ).
cnf(c289,plain,
multiply(X2,multiply(X3,X)) = multiply(X3,multiply(X2,X)),
inference(transitivity,[status(thm)],[c265,c288]) ).
cnf(c290,plain,
multiply(a3,multiply(c3,b3)) = multiply(c3,multiply(a3,b3)),
inference(substitution,[status(thm)],[c289]) ).
cnf(c291,plain,
multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(c3,b3)),
inference(symmetry,[status(thm)],[c290]) ).
cnf(c292,plain,
multiply(b3,c3) = multiply(c3,b3),
inference(substitution,[status(thm)],[c259]) ).
cnf(c293,plain,
multiply(c3,b3) = multiply(b3,c3),
inference(symmetry,[status(thm)],[c292]) ).
cnf(c294,plain,
multiply(a3,multiply(c3,b3)) = multiply(a3,multiply(b3,c3)),
inference(congruence,[status(thm)],[c293]) ).
cnf(c295,plain,
multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)),
inference(transitivity,[status(thm)],[c291,c294]) ).
cnf(c296,plain,
multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
inference(transitivity,[status(thm)],[c261,c295]) ).
cnf(c297,plain,
$false,
inference(resolution,[status(thm)],[c1,c296]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP523-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n019.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 10:06:48 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.45 Command-line arguments: --no-flatten-goal
% 0.12/0.45
% 0.12/0.45 % SZS status Unsatisfiable
% 0.12/0.45
% 0.12/0.46 % SZS output start CNFRefutation
% See solution above
% 0.50/0.54
% 0.50/0.54 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------