%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP465-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:10:33 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.45s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 5
% Syntax : Number of clauses : 183 ( 183 unt; 0 nHn; 10 RR)
% Number of literals : 183 ( 182 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 350 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
cnf(c2,axiom,
multiply(A,B) = divide(A,divide(identity,B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(c3,plain,
multiply(X2,X) = divide(X2,divide(identity,X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,axiom,
inverse(A2) = divide(identity,A2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
cnf(c5,plain,
inverse(X) = divide(identity,X),
inference(substitution,[status(thm)],[c4]) ).
cnf(c6,plain,
divide(identity,X) = inverse(X),
inference(symmetry,[status(thm)],[c5]) ).
cnf(c7,plain,
divide(X2,divide(identity,X)) = divide(X2,inverse(X)),
inference(congruence,[status(thm)],[c6]) ).
cnf(c8,plain,
multiply(X2,X) = divide(X2,inverse(X)),
inference(transitivity,[status(thm)],[c3,c7]) ).
cnf(c9,plain,
multiply(multiply(X2,X),X3) = divide(multiply(X2,X),inverse(X3)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c10,plain,
inverse(divide(inverse(X2),inverse(X))) = divide(identity,divide(inverse(X2),inverse(X))),
inference(substitution,[status(thm)],[c4]) ).
cnf(c11,plain,
divide(X2,inverse(divide(inverse(X2),inverse(X)))) = divide(X2,divide(identity,divide(inverse(X2),inverse(X)))),
inference(congruence,[status(thm)],[c10]) ).
cnf(c12,axiom,
identity = divide(A2,A2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
cnf(c13,plain,
identity = divide(inverse(X),inverse(X)),
inference(substitution,[status(thm)],[c12]) ).
cnf(c14,plain,
divide(identity,divide(inverse(X2),inverse(X))) = divide(divide(inverse(X),inverse(X)),divide(inverse(X2),inverse(X))),
inference(congruence,[status(thm)],[c13]) ).
cnf(c15,plain,
divide(X2,divide(identity,divide(inverse(X2),inverse(X)))) = divide(X2,divide(divide(inverse(X),inverse(X)),divide(inverse(X2),inverse(X)))),
inference(congruence,[status(thm)],[c14]) ).
cnf(c16,plain,
inverse(X) = divide(identity,X),
inference(substitution,[status(thm)],[c4]) ).
cnf(c17,plain,
divide(inverse(X2),X) = divide(divide(identity,X2),X),
inference(congruence,[status(thm)],[c16]) ).
cnf(c18,plain,
divide(divide(inverse(X2),X),divide(inverse(X3),X)) = divide(divide(inverse(X2),X),divide(divide(identity,X3),X)),
inference(congruence,[status(thm)],[c17]) ).
cnf(c19,plain,
divide(X3,divide(divide(inverse(X2),X),divide(inverse(X3),X))) = divide(X3,divide(divide(inverse(X2),X),divide(divide(identity,X3),X))),
inference(congruence,[status(thm)],[c18]) ).
cnf(c20,plain,
inverse(X) = divide(identity,X),
inference(substitution,[status(thm)],[c4]) ).
cnf(c21,plain,
divide(inverse(X2),X) = divide(divide(identity,X2),X),
inference(congruence,[status(thm)],[c20]) ).
cnf(c22,plain,
divide(divide(inverse(X2),X),divide(divide(identity,X3),X)) = divide(divide(divide(identity,X2),X),divide(divide(identity,X3),X)),
inference(congruence,[status(thm)],[c21]) ).
cnf(c23,plain,
divide(X3,divide(divide(inverse(X2),X),divide(divide(identity,X3),X))) = divide(X3,divide(divide(divide(identity,X2),X),divide(divide(identity,X3),X))),
inference(congruence,[status(thm)],[c22]) ).
cnf(c24,plain,
identity = divide(X,X),
inference(substitution,[status(thm)],[c12]) ).
cnf(c25,plain,
divide(identity,X) = divide(divide(X2,X2),X),
inference(congruence,[status(thm)],[c24]) ).
cnf(c26,plain,
divide(divide(identity,X2),X) = divide(divide(divide(X3,X3),X2),X),
inference(congruence,[status(thm)],[c25]) ).
cnf(c27,plain,
divide(divide(divide(identity,X2),X),divide(divide(identity,X3),X)) = divide(divide(divide(divide(X3,X3),X2),X),divide(divide(identity,X3),X)),
inference(congruence,[status(thm)],[c26]) ).
cnf(c28,plain,
divide(X3,divide(divide(divide(identity,X2),X),divide(divide(identity,X3),X))) = divide(X3,divide(divide(divide(divide(X3,X3),X2),X),divide(divide(identity,X3),X))),
inference(congruence,[status(thm)],[c27]) ).
cnf(c29,axiom,
divide(A2,divide(divide(divide(divide(A2,A2),B2),C),divide(divide(identity,A2),C))) = B2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c30,plain,
divide(X3,divide(divide(divide(divide(X3,X3),X2),X),divide(divide(identity,X3),X))) = X2,
inference(substitution,[status(thm)],[c29]) ).
cnf(c31,plain,
divide(X3,divide(divide(divide(identity,X2),X),divide(divide(identity,X3),X))) = X2,
inference(transitivity,[status(thm)],[c28,c30]) ).
cnf(c32,plain,
divide(X3,divide(divide(inverse(X2),X),divide(divide(identity,X3),X))) = X2,
inference(transitivity,[status(thm)],[c23,c31]) ).
cnf(c33,plain,
divide(X3,divide(divide(inverse(X2),X),divide(inverse(X3),X))) = X2,
inference(transitivity,[status(thm)],[c19,c32]) ).
cnf(c34,plain,
divide(X2,divide(divide(inverse(X),inverse(X)),divide(inverse(X2),inverse(X)))) = X,
inference(substitution,[status(thm)],[c33]) ).
cnf(c35,plain,
divide(X2,divide(identity,divide(inverse(X2),inverse(X)))) = X,
inference(transitivity,[status(thm)],[c15,c34]) ).
cnf(c36,plain,
divide(X2,inverse(divide(inverse(X2),inverse(X)))) = X,
inference(transitivity,[status(thm)],[c11,c35]) ).
cnf(c37,plain,
divide(X,inverse(divide(inverse(X),inverse(inverse(inverse(X2)))))) = inverse(inverse(X2)),
inference(substitution,[status(thm)],[c36]) ).
cnf(c38,plain,
inverse(inverse(X2)) = divide(X,inverse(divide(inverse(X),inverse(inverse(inverse(X2)))))),
inference(symmetry,[status(thm)],[c37]) ).
cnf(c39,plain,
inverse(divide(inverse(X),inverse(inverse(inverse(X2))))) = divide(identity,divide(inverse(X),inverse(inverse(inverse(X2))))),
inference(substitution,[status(thm)],[c4]) ).
cnf(c40,plain,
divide(X,inverse(divide(inverse(X),inverse(inverse(inverse(X2)))))) = divide(X,divide(identity,divide(inverse(X),inverse(inverse(inverse(X2)))))),
inference(congruence,[status(thm)],[c39]) ).
cnf(c41,plain,
identity = divide(divide(inverse(X2),X),divide(inverse(X2),X)),
inference(substitution,[status(thm)],[c12]) ).
cnf(c42,plain,
divide(X2,identity) = divide(X2,divide(divide(inverse(X2),X),divide(inverse(X2),X))),
inference(congruence,[status(thm)],[c41]) ).
cnf(c43,plain,
divide(X2,divide(divide(inverse(X2),X),divide(inverse(X2),X))) = X2,
inference(substitution,[status(thm)],[c33]) ).
cnf(c44,plain,
divide(X,identity) = X,
inference(transitivity,[status(thm)],[c42,c43]) ).
cnf(c45,plain,
divide(inverse(X),identity) = inverse(X),
inference(substitution,[status(thm)],[c44]) ).
cnf(c46,plain,
inverse(X) = divide(inverse(X),identity),
inference(symmetry,[status(thm)],[c45]) ).
cnf(c47,plain,
inverse(inverse(X)) = inverse(divide(inverse(X),identity)),
inference(congruence,[status(thm)],[c46]) ).
cnf(c48,plain,
divide(X,inverse(inverse(X))) = divide(X,inverse(divide(inverse(X),identity))),
inference(congruence,[status(thm)],[c47]) ).
cnf(c49,plain,
inverse(identity) = divide(identity,identity),
inference(substitution,[status(thm)],[c4]) ).
cnf(c50,plain,
identity = divide(identity,identity),
inference(substitution,[status(thm)],[c12]) ).
cnf(c51,plain,
divide(identity,identity) = identity,
inference(symmetry,[status(thm)],[c50]) ).
cnf(c52,plain,
inverse(identity) = identity,
inference(transitivity,[status(thm)],[c49,c51]) ).
cnf(c53,plain,
identity = inverse(identity),
inference(symmetry,[status(thm)],[c52]) ).
cnf(c54,plain,
divide(inverse(X),identity) = divide(inverse(X),inverse(identity)),
inference(congruence,[status(thm)],[c53]) ).
cnf(c55,plain,
inverse(divide(inverse(X),identity)) = inverse(divide(inverse(X),inverse(identity))),
inference(congruence,[status(thm)],[c54]) ).
cnf(c56,plain,
divide(X,inverse(divide(inverse(X),identity))) = divide(X,inverse(divide(inverse(X),inverse(identity)))),
inference(congruence,[status(thm)],[c55]) ).
cnf(c57,plain,
divide(X,inverse(divide(inverse(X),inverse(identity)))) = identity,
inference(substitution,[status(thm)],[c36]) ).
cnf(c58,plain,
divide(X,inverse(divide(inverse(X),identity))) = identity,
inference(transitivity,[status(thm)],[c56,c57]) ).
cnf(c59,plain,
divide(X,inverse(inverse(X))) = identity,
inference(transitivity,[status(thm)],[c48,c58]) ).
cnf(c60,plain,
divide(inverse(X),inverse(inverse(inverse(X)))) = identity,
inference(substitution,[status(thm)],[c59]) ).
cnf(c61,plain,
identity = divide(inverse(X),inverse(inverse(inverse(X)))),
inference(symmetry,[status(thm)],[c60]) ).
cnf(c62,plain,
divide(identity,divide(inverse(X),inverse(inverse(inverse(X2))))) = divide(divide(inverse(X2),inverse(inverse(inverse(X2)))),divide(inverse(X),inverse(inverse(inverse(X2))))),
inference(congruence,[status(thm)],[c61]) ).
cnf(c63,plain,
divide(X,divide(identity,divide(inverse(X),inverse(inverse(inverse(X2)))))) = divide(X,divide(divide(inverse(X2),inverse(inverse(inverse(X2)))),divide(inverse(X),inverse(inverse(inverse(X2)))))),
inference(congruence,[status(thm)],[c62]) ).
cnf(c64,plain,
divide(X,divide(divide(inverse(X2),inverse(inverse(inverse(X2)))),divide(inverse(X),inverse(inverse(inverse(X2)))))) = X2,
inference(substitution,[status(thm)],[c33]) ).
cnf(c65,plain,
divide(X,divide(identity,divide(inverse(X),inverse(inverse(inverse(X2)))))) = X2,
inference(transitivity,[status(thm)],[c63,c64]) ).
cnf(c66,plain,
divide(X,inverse(divide(inverse(X),inverse(inverse(inverse(X2)))))) = X2,
inference(transitivity,[status(thm)],[c40,c65]) ).
cnf(c67,plain,
inverse(inverse(X)) = X,
inference(transitivity,[status(thm)],[c38,c66]) ).
cnf(c68,plain,
X = inverse(inverse(X)),
inference(symmetry,[status(thm)],[c67]) ).
cnf(c69,plain,
divide(X,X2) = divide(inverse(inverse(X)),X2),
inference(congruence,[status(thm)],[c68]) ).
cnf(c70,plain,
divide(divide(X3,X2),divide(X,X2)) = divide(divide(X3,X2),divide(inverse(inverse(X)),X2)),
inference(congruence,[status(thm)],[c69]) ).
cnf(c71,plain,
X = inverse(inverse(X)),
inference(symmetry,[status(thm)],[c67]) ).
cnf(c72,plain,
divide(X2,inverse(X)) = divide(inverse(inverse(X2)),inverse(X)),
inference(congruence,[status(thm)],[c71]) ).
cnf(c73,plain,
divide(divide(X2,inverse(X)),X) = divide(divide(inverse(inverse(X2)),inverse(X)),X),
inference(congruence,[status(thm)],[c72]) ).
cnf(c74,plain,
divide(inverse(X2),inverse(divide(inverse(inverse(X2)),inverse(X)))) = X,
inference(substitution,[status(thm)],[c36]) ).
cnf(c75,plain,
X = divide(inverse(X2),inverse(divide(inverse(inverse(X2)),inverse(X)))),
inference(symmetry,[status(thm)],[c74]) ).
cnf(c76,plain,
divide(divide(inverse(inverse(X2)),inverse(X)),X) = divide(divide(inverse(inverse(X2)),inverse(X)),divide(inverse(X2),inverse(divide(inverse(inverse(X2)),inverse(X))))),
inference(congruence,[status(thm)],[c75]) ).
cnf(c77,plain,
divide(divide(inverse(X),inverse(X2)),identity) = divide(inverse(X),inverse(X2)),
inference(substitution,[status(thm)],[c44]) ).
cnf(c78,plain,
divide(inverse(X),inverse(X2)) = divide(divide(inverse(X),inverse(X2)),identity),
inference(symmetry,[status(thm)],[c77]) ).
cnf(c79,plain,
divide(X2,divide(inverse(X),inverse(X2))) = divide(X2,divide(divide(inverse(X),inverse(X2)),identity)),
inference(congruence,[status(thm)],[c78]) ).
cnf(c80,plain,
identity = divide(inverse(X),inverse(X)),
inference(substitution,[status(thm)],[c12]) ).
cnf(c81,plain,
divide(divide(inverse(X),inverse(X2)),identity) = divide(divide(inverse(X),inverse(X2)),divide(inverse(X2),inverse(X2))),
inference(congruence,[status(thm)],[c80]) ).
cnf(c82,plain,
divide(X2,divide(divide(inverse(X),inverse(X2)),identity)) = divide(X2,divide(divide(inverse(X),inverse(X2)),divide(inverse(X2),inverse(X2)))),
inference(congruence,[status(thm)],[c81]) ).
cnf(c83,plain,
divide(X2,divide(divide(inverse(X),inverse(X2)),divide(inverse(X2),inverse(X2)))) = X,
inference(substitution,[status(thm)],[c33]) ).
cnf(c84,plain,
divide(X2,divide(divide(inverse(X),inverse(X2)),identity)) = X,
inference(transitivity,[status(thm)],[c82,c83]) ).
cnf(c85,plain,
divide(X2,divide(inverse(X),inverse(X2))) = X,
inference(transitivity,[status(thm)],[c79,c84]) ).
cnf(c86,plain,
divide(divide(inverse(inverse(X2)),inverse(X)),divide(inverse(X2),inverse(divide(inverse(inverse(X2)),inverse(X))))) = X2,
inference(substitution,[status(thm)],[c85]) ).
cnf(c87,plain,
divide(divide(inverse(inverse(X2)),inverse(X)),X) = X2,
inference(transitivity,[status(thm)],[c76,c86]) ).
cnf(c88,plain,
divide(divide(X2,inverse(X)),X) = X2,
inference(transitivity,[status(thm)],[c73,c87]) ).
cnf(c89,plain,
divide(divide(divide(divide(X3,X2),divide(inverse(inverse(X)),X2)),inverse(X)),X) = divide(divide(X3,X2),divide(inverse(inverse(X)),X2)),
inference(substitution,[status(thm)],[c88]) ).
cnf(c90,plain,
divide(divide(X3,X2),divide(inverse(inverse(X)),X2)) = divide(divide(divide(divide(X3,X2),divide(inverse(inverse(X)),X2)),inverse(X)),X),
inference(symmetry,[status(thm)],[c89]) ).
cnf(c91,plain,
X = inverse(inverse(X)),
inference(symmetry,[status(thm)],[c67]) ).
cnf(c92,plain,
divide(X2,X) = divide(inverse(inverse(X2)),X),
inference(congruence,[status(thm)],[c91]) ).
cnf(c93,plain,
divide(divide(X3,X2),divide(inverse(X),X2)) = divide(divide(inverse(inverse(X3)),X2),divide(inverse(X),X2)),
inference(congruence,[status(thm)],[c92]) ).
cnf(c94,plain,
divide(divide(divide(X3,X2),divide(inverse(X),X2)),X) = divide(divide(divide(inverse(inverse(X3)),X2),divide(inverse(X),X2)),X),
inference(congruence,[status(thm)],[c93]) ).
cnf(c95,plain,
X = inverse(inverse(X)),
inference(symmetry,[status(thm)],[c67]) ).
cnf(c96,plain,
divide(X2,X) = divide(X2,inverse(inverse(X))),
inference(congruence,[status(thm)],[c95]) ).
cnf(c97,plain,
inverse(divide(X2,X)) = inverse(divide(X2,inverse(inverse(X)))),
inference(congruence,[status(thm)],[c96]) ).
cnf(c98,plain,
inverse(inverse(X)) = divide(identity,inverse(X)),
inference(substitution,[status(thm)],[c4]) ).
cnf(c99,plain,
inverse(inverse(inverse(X))) = inverse(divide(identity,inverse(X))),
inference(congruence,[status(thm)],[c98]) ).
cnf(c100,plain,
inverse(inverse(inverse(inverse(X)))) = inverse(inverse(divide(identity,inverse(X)))),
inference(congruence,[status(thm)],[c99]) ).
cnf(c101,plain,
identity = inverse(identity),
inference(symmetry,[status(thm)],[c52]) ).
cnf(c102,plain,
divide(identity,inverse(X)) = divide(inverse(identity),inverse(X)),
inference(congruence,[status(thm)],[c101]) ).
cnf(c103,plain,
inverse(divide(identity,inverse(X))) = inverse(divide(inverse(identity),inverse(X))),
inference(congruence,[status(thm)],[c102]) ).
cnf(c104,plain,
inverse(inverse(divide(identity,inverse(X)))) = inverse(inverse(divide(inverse(identity),inverse(X)))),
inference(congruence,[status(thm)],[c103]) ).
cnf(c105,plain,
inverse(inverse(divide(inverse(identity),inverse(X)))) = divide(identity,inverse(divide(inverse(identity),inverse(X)))),
inference(substitution,[status(thm)],[c4]) ).
cnf(c106,plain,
divide(identity,inverse(divide(inverse(identity),inverse(X)))) = X,
inference(substitution,[status(thm)],[c36]) ).
cnf(c107,plain,
inverse(inverse(divide(inverse(identity),inverse(X)))) = X,
inference(transitivity,[status(thm)],[c105,c106]) ).
cnf(c108,plain,
inverse(inverse(divide(identity,inverse(X)))) = X,
inference(transitivity,[status(thm)],[c104,c107]) ).
cnf(c109,plain,
inverse(inverse(inverse(inverse(X)))) = X,
inference(transitivity,[status(thm)],[c100,c108]) ).
cnf(c110,plain,
X = inverse(inverse(inverse(inverse(X)))),
inference(symmetry,[status(thm)],[c109]) ).
cnf(c111,plain,
divide(X,inverse(X2)) = divide(inverse(inverse(inverse(inverse(X)))),inverse(X2)),
inference(congruence,[status(thm)],[c110]) ).
cnf(c112,plain,
divide(X2,divide(X,inverse(X2))) = divide(X2,divide(inverse(inverse(inverse(inverse(X)))),inverse(X2))),
inference(congruence,[status(thm)],[c111]) ).
cnf(c113,plain,
divide(X2,divide(inverse(inverse(inverse(inverse(X)))),inverse(X2))) = inverse(inverse(inverse(X))),
inference(substitution,[status(thm)],[c85]) ).
cnf(c114,plain,
inverse(inverse(inverse(X))) = inverse(X),
inference(substitution,[status(thm)],[c67]) ).
cnf(c115,plain,
divide(X2,divide(inverse(inverse(inverse(inverse(X)))),inverse(X2))) = inverse(X),
inference(transitivity,[status(thm)],[c113,c114]) ).
cnf(c116,plain,
divide(X2,divide(X,inverse(X2))) = inverse(X),
inference(transitivity,[status(thm)],[c112,c115]) ).
cnf(c117,plain,
divide(X,divide(divide(X2,inverse(inverse(X))),inverse(X))) = inverse(divide(X2,inverse(inverse(X)))),
inference(substitution,[status(thm)],[c116]) ).
cnf(c118,plain,
inverse(divide(X2,inverse(inverse(X)))) = divide(X,divide(divide(X2,inverse(inverse(X))),inverse(X))),
inference(symmetry,[status(thm)],[c117]) ).
cnf(c119,plain,
divide(divide(X2,inverse(inverse(X))),inverse(X)) = X2,
inference(substitution,[status(thm)],[c88]) ).
cnf(c120,plain,
divide(X,divide(divide(X2,inverse(inverse(X))),inverse(X))) = divide(X,X2),
inference(congruence,[status(thm)],[c119]) ).
cnf(c121,plain,
inverse(divide(X2,inverse(inverse(X)))) = divide(X,X2),
inference(transitivity,[status(thm)],[c118,c120]) ).
cnf(c122,plain,
inverse(divide(X2,X)) = divide(X,X2),
inference(transitivity,[status(thm)],[c97,c121]) ).
cnf(c123,plain,
inverse(divide(divide(inverse(X),X2),divide(inverse(inverse(X3)),X2))) = divide(divide(inverse(inverse(X3)),X2),divide(inverse(X),X2)),
inference(substitution,[status(thm)],[c122]) ).
cnf(c124,plain,
divide(divide(inverse(inverse(X3)),X2),divide(inverse(X),X2)) = inverse(divide(divide(inverse(X),X2),divide(inverse(inverse(X3)),X2))),
inference(symmetry,[status(thm)],[c123]) ).
cnf(c125,plain,
divide(divide(divide(inverse(inverse(X3)),X2),divide(inverse(X),X2)),X) = divide(inverse(divide(divide(inverse(X),X2),divide(inverse(inverse(X3)),X2))),X),
inference(congruence,[status(thm)],[c124]) ).
cnf(c126,plain,
inverse(divide(X,inverse(divide(divide(inverse(X),X2),divide(inverse(inverse(X3)),X2))))) = divide(inverse(divide(divide(inverse(X),X2),divide(inverse(inverse(X3)),X2))),X),
inference(substitution,[status(thm)],[c122]) ).
cnf(c127,plain,
divide(inverse(divide(divide(inverse(X),X2),divide(inverse(inverse(X3)),X2))),X) = inverse(divide(X,inverse(divide(divide(inverse(X),X2),divide(inverse(inverse(X3)),X2))))),
inference(symmetry,[status(thm)],[c126]) ).
cnf(c128,plain,
divide(inverse(X3),divide(divide(inverse(X),X2),divide(inverse(inverse(X3)),X2))) = X,
inference(substitution,[status(thm)],[c33]) ).
cnf(c129,plain,
X = divide(inverse(X3),divide(divide(inverse(X),X2),divide(inverse(inverse(X3)),X2))),
inference(symmetry,[status(thm)],[c128]) ).
cnf(c130,plain,
divide(X,inverse(divide(divide(inverse(X),X2),divide(inverse(inverse(X3)),X2)))) = divide(divide(inverse(X3),divide(divide(inverse(X),X2),divide(inverse(inverse(X3)),X2))),inverse(divide(divide(inverse(X),X2),divide(inverse(inverse(X3)),X2)))),
inference(congruence,[status(thm)],[c129]) ).
cnf(c131,plain,
inverse(divide(X,inverse(divide(divide(inverse(X),X2),divide(inverse(inverse(X3)),X2))))) = inverse(divide(divide(inverse(X3),divide(divide(inverse(X),X2),divide(inverse(inverse(X3)),X2))),inverse(divide(divide(inverse(X),X2),divide(inverse(inverse(X3)),X2))))),
inference(congruence,[status(thm)],[c130]) ).
cnf(c132,plain,
inverse(X) = divide(identity,X),
inference(substitution,[status(thm)],[c4]) ).
cnf(c133,plain,
divide(divide(inverse(X2),X),inverse(X)) = divide(divide(inverse(X2),X),divide(identity,X)),
inference(congruence,[status(thm)],[c132]) ).
cnf(c134,plain,
inverse(divide(divide(inverse(X2),X),inverse(X))) = inverse(divide(divide(inverse(X2),X),divide(identity,X))),
inference(congruence,[status(thm)],[c133]) ).
cnf(c135,plain,
identity = inverse(identity),
inference(symmetry,[status(thm)],[c52]) ).
cnf(c136,plain,
divide(identity,X) = divide(inverse(identity),X),
inference(congruence,[status(thm)],[c135]) ).
cnf(c137,plain,
divide(divide(inverse(X2),X),divide(identity,X)) = divide(divide(inverse(X2),X),divide(inverse(identity),X)),
inference(congruence,[status(thm)],[c136]) ).
cnf(c138,plain,
inverse(divide(divide(inverse(X2),X),divide(identity,X))) = inverse(divide(divide(inverse(X2),X),divide(inverse(identity),X))),
inference(congruence,[status(thm)],[c137]) ).
cnf(c139,plain,
inverse(divide(divide(inverse(X2),X),divide(inverse(identity),X))) = divide(identity,divide(divide(inverse(X2),X),divide(inverse(identity),X))),
inference(substitution,[status(thm)],[c4]) ).
cnf(c140,plain,
divide(identity,divide(divide(inverse(X2),X),divide(inverse(identity),X))) = X2,
inference(substitution,[status(thm)],[c33]) ).
cnf(c141,plain,
inverse(divide(divide(inverse(X2),X),divide(inverse(identity),X))) = X2,
inference(transitivity,[status(thm)],[c139,c140]) ).
cnf(c142,plain,
inverse(divide(divide(inverse(X2),X),divide(identity,X))) = X2,
inference(transitivity,[status(thm)],[c138,c141]) ).
cnf(c143,plain,
inverse(divide(divide(inverse(X2),X),inverse(X))) = X2,
inference(transitivity,[status(thm)],[c134,c142]) ).
cnf(c144,plain,
inverse(divide(divide(inverse(X3),divide(divide(inverse(X),X2),divide(inverse(inverse(X3)),X2))),inverse(divide(divide(inverse(X),X2),divide(inverse(inverse(X3)),X2))))) = X3,
inference(substitution,[status(thm)],[c143]) ).
cnf(c145,plain,
inverse(divide(X,inverse(divide(divide(inverse(X),X2),divide(inverse(inverse(X3)),X2))))) = X3,
inference(transitivity,[status(thm)],[c131,c144]) ).
cnf(c146,plain,
divide(inverse(divide(divide(inverse(X),X2),divide(inverse(inverse(X3)),X2))),X) = X3,
inference(transitivity,[status(thm)],[c127,c145]) ).
cnf(c147,plain,
divide(divide(divide(inverse(inverse(X3)),X2),divide(inverse(X),X2)),X) = X3,
inference(transitivity,[status(thm)],[c125,c146]) ).
cnf(c148,plain,
divide(divide(divide(X3,X2),divide(inverse(X),X2)),X) = X3,
inference(transitivity,[status(thm)],[c94,c147]) ).
cnf(c149,plain,
divide(divide(divide(X3,X2),divide(inverse(inverse(X)),X2)),inverse(X)) = X3,
inference(substitution,[status(thm)],[c148]) ).
cnf(c150,plain,
divide(divide(divide(divide(X3,X2),divide(inverse(inverse(X)),X2)),inverse(X)),X) = divide(X3,X),
inference(congruence,[status(thm)],[c149]) ).
cnf(c151,plain,
divide(divide(X3,X2),divide(inverse(inverse(X)),X2)) = divide(X3,X),
inference(transitivity,[status(thm)],[c90,c150]) ).
cnf(c152,plain,
divide(divide(X3,X2),divide(X,X2)) = divide(X3,X),
inference(transitivity,[status(thm)],[c70,c151]) ).
cnf(c153,plain,
divide(divide(multiply(X3,X),X),divide(X2,X)) = divide(multiply(X3,X),X2),
inference(substitution,[status(thm)],[c152]) ).
cnf(c154,plain,
divide(multiply(X3,X),X2) = divide(divide(multiply(X3,X),X),divide(X2,X)),
inference(symmetry,[status(thm)],[c153]) ).
cnf(c155,plain,
divide(multiply(X2,X),X) = divide(divide(X2,inverse(X)),X),
inference(congruence,[status(thm)],[c8]) ).
cnf(c156,plain,
divide(multiply(X2,X),X) = X2,
inference(transitivity,[status(thm)],[c155,c88]) ).
cnf(c157,plain,
divide(divide(multiply(X3,X),X),divide(X2,X)) = divide(X3,divide(X2,X)),
inference(congruence,[status(thm)],[c156]) ).
cnf(c158,plain,
divide(multiply(X3,X),X2) = divide(X3,divide(X2,X)),
inference(transitivity,[status(thm)],[c154,c157]) ).
cnf(c159,plain,
divide(multiply(X3,multiply(X2,X)),X) = divide(X3,divide(X,multiply(X2,X))),
inference(substitution,[status(thm)],[c158]) ).
cnf(c160,plain,
multiply(X,X2) = divide(X,inverse(X2)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c161,plain,
divide(X2,multiply(X,X2)) = divide(X2,divide(X,inverse(X2))),
inference(congruence,[status(thm)],[c160]) ).
cnf(c162,plain,
divide(X2,multiply(X,X2)) = inverse(X),
inference(transitivity,[status(thm)],[c161,c116]) ).
cnf(c163,plain,
divide(X,multiply(X2,X)) = inverse(X2),
inference(substitution,[status(thm)],[c162]) ).
cnf(c164,plain,
divide(X3,divide(X,multiply(X2,X))) = divide(X3,inverse(X2)),
inference(congruence,[status(thm)],[c163]) ).
cnf(c165,plain,
divide(X2,inverse(X)) = multiply(X2,X),
inference(symmetry,[status(thm)],[c8]) ).
cnf(c166,plain,
divide(X3,divide(X,multiply(X2,X))) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c164,c165]) ).
cnf(c167,plain,
divide(multiply(X3,multiply(X2,X)),X) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c159,c166]) ).
cnf(c168,plain,
multiply(X3,X2) = divide(multiply(X3,multiply(X2,X)),X),
inference(symmetry,[status(thm)],[c167]) ).
cnf(c169,plain,
divide(multiply(X3,X2),inverse(X)) = divide(divide(multiply(X3,multiply(X2,X)),X),inverse(X)),
inference(congruence,[status(thm)],[c168]) ).
cnf(c170,plain,
inverse(inverse(inverse(X))) = inverse(X),
inference(substitution,[status(thm)],[c67]) ).
cnf(c171,plain,
inverse(X) = inverse(inverse(inverse(X))),
inference(symmetry,[status(thm)],[c170]) ).
cnf(c172,plain,
divide(divide(X2,X),inverse(X)) = divide(divide(X2,X),inverse(inverse(inverse(X)))),
inference(congruence,[status(thm)],[c171]) ).
cnf(c173,plain,
X = inverse(inverse(inverse(inverse(X)))),
inference(symmetry,[status(thm)],[c109]) ).
cnf(c174,plain,
divide(X2,X) = divide(X2,inverse(inverse(inverse(inverse(X))))),
inference(congruence,[status(thm)],[c173]) ).
cnf(c175,plain,
divide(divide(X2,X),inverse(inverse(inverse(X)))) = divide(divide(X2,inverse(inverse(inverse(inverse(X))))),inverse(inverse(inverse(X)))),
inference(congruence,[status(thm)],[c174]) ).
cnf(c176,plain,
divide(divide(X2,inverse(inverse(inverse(inverse(X))))),inverse(inverse(inverse(X)))) = X2,
inference(substitution,[status(thm)],[c88]) ).
cnf(c177,plain,
divide(divide(X2,X),inverse(inverse(inverse(X)))) = X2,
inference(transitivity,[status(thm)],[c175,c176]) ).
cnf(c178,plain,
divide(divide(X2,X),inverse(X)) = X2,
inference(transitivity,[status(thm)],[c172,c177]) ).
cnf(c179,plain,
divide(divide(multiply(X3,multiply(X2,X)),X),inverse(X)) = multiply(X3,multiply(X2,X)),
inference(substitution,[status(thm)],[c178]) ).
cnf(c180,plain,
divide(multiply(X3,X2),inverse(X)) = multiply(X3,multiply(X2,X)),
inference(transitivity,[status(thm)],[c169,c179]) ).
cnf(c181,plain,
multiply(multiply(X3,X2),X) = multiply(X3,multiply(X2,X)),
inference(transitivity,[status(thm)],[c9,c180]) ).
cnf(c182,plain,
multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
inference(substitution,[status(thm)],[c181]) ).
cnf(c183,plain,
$false,
inference(resolution,[status(thm)],[c1,c182]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP465-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 10:05:17 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.45 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
% 0.13/0.45
% 0.13/0.45 % SZS status Unsatisfiable
% 0.13/0.45
% 0.13/0.45 % SZS output start CNFRefutation
% See solution above
% 0.44/0.50
% 0.44/0.50 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------