%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP497-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 10:10:49 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.43s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 5
% Syntax : Number of clauses : 127 ( 127 unt; 0 nHn; 10 RR)
% Number of literals : 127 ( 126 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 198 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
multiply(identity,a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(c2,axiom,
inverse(A) = double_divide(A,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
cnf(c3,plain,
inverse(double_divide(X2,X)) = double_divide(double_divide(X2,X),identity),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,axiom,
multiply(A2,B) = double_divide(double_divide(B,A2),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(c5,plain,
multiply(X,X2) = double_divide(double_divide(X2,X),identity),
inference(substitution,[status(thm)],[c4]) ).
cnf(c6,plain,
double_divide(double_divide(X2,X),identity) = multiply(X,X2),
inference(symmetry,[status(thm)],[c5]) ).
cnf(c7,plain,
inverse(double_divide(X2,X)) = multiply(X,X2),
inference(transitivity,[status(thm)],[c3,c6]) ).
cnf(c8,plain,
inverse(double_divide(X,identity)) = multiply(identity,X),
inference(substitution,[status(thm)],[c7]) ).
cnf(c9,plain,
multiply(identity,X) = inverse(double_divide(X,identity)),
inference(symmetry,[status(thm)],[c8]) ).
cnf(c10,plain,
inverse(X) = double_divide(X,identity),
inference(substitution,[status(thm)],[c2]) ).
cnf(c11,plain,
double_divide(X,identity) = inverse(X),
inference(symmetry,[status(thm)],[c10]) ).
cnf(c12,plain,
inverse(double_divide(X,identity)) = inverse(inverse(X)),
inference(congruence,[status(thm)],[c11]) ).
cnf(c13,plain,
multiply(identity,X) = inverse(inverse(X)),
inference(transitivity,[status(thm)],[c9,c12]) ).
cnf(c14,plain,
inverse(double_divide(identity,inverse(inverse(inverse(X))))) = multiply(inverse(inverse(inverse(X))),identity),
inference(substitution,[status(thm)],[c7]) ).
cnf(c15,plain,
multiply(inverse(inverse(inverse(X))),identity) = inverse(double_divide(identity,inverse(inverse(inverse(X))))),
inference(symmetry,[status(thm)],[c14]) ).
cnf(c16,plain,
multiply(identity,inverse(X)) = inverse(inverse(inverse(X))),
inference(substitution,[status(thm)],[c13]) ).
cnf(c17,plain,
inverse(inverse(inverse(X))) = multiply(identity,inverse(X)),
inference(symmetry,[status(thm)],[c16]) ).
cnf(c18,plain,
double_divide(identity,inverse(inverse(inverse(X)))) = double_divide(identity,multiply(identity,inverse(X))),
inference(congruence,[status(thm)],[c17]) ).
cnf(c19,axiom,
identity = double_divide(A2,inverse(A2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
cnf(c20,plain,
identity = double_divide(X,inverse(X)),
inference(substitution,[status(thm)],[c19]) ).
cnf(c21,plain,
multiply(identity,inverse(X)) = multiply(double_divide(X,inverse(X)),inverse(X)),
inference(congruence,[status(thm)],[c20]) ).
cnf(c22,plain,
double_divide(identity,multiply(identity,inverse(X))) = double_divide(identity,multiply(double_divide(X,inverse(X)),inverse(X))),
inference(congruence,[status(thm)],[c21]) ).
cnf(c23,plain,
inverse(double_divide(X,double_divide(X3,X2))) = multiply(double_divide(X3,X2),X),
inference(substitution,[status(thm)],[c7]) ).
cnf(c24,plain,
multiply(double_divide(X,X3),X2) = inverse(double_divide(X2,double_divide(X,X3))),
inference(symmetry,[status(thm)],[c23]) ).
cnf(c25,plain,
double_divide(double_divide(identity,double_divide(X3,inverse(X2))),multiply(double_divide(X,X3),X2)) = double_divide(double_divide(identity,double_divide(X3,inverse(X2))),inverse(double_divide(X2,double_divide(X,X3)))),
inference(congruence,[status(thm)],[c24]) ).
cnf(c26,plain,
inverse(double_divide(X2,double_divide(X,X3))) = double_divide(double_divide(X2,double_divide(X,X3)),identity),
inference(substitution,[status(thm)],[c2]) ).
cnf(c27,plain,
double_divide(double_divide(identity,double_divide(X3,inverse(X2))),inverse(double_divide(X2,double_divide(X,X3)))) = double_divide(double_divide(identity,double_divide(X3,inverse(X2))),double_divide(double_divide(X2,double_divide(X,X3)),identity)),
inference(congruence,[status(thm)],[c26]) ).
cnf(c28,plain,
inverse(X) = double_divide(X,identity),
inference(substitution,[status(thm)],[c2]) ).
cnf(c29,plain,
double_divide(X2,inverse(X)) = double_divide(X2,double_divide(X,identity)),
inference(congruence,[status(thm)],[c28]) ).
cnf(c30,plain,
double_divide(identity,double_divide(X2,inverse(X))) = double_divide(identity,double_divide(X2,double_divide(X,identity))),
inference(congruence,[status(thm)],[c29]) ).
cnf(c31,plain,
double_divide(double_divide(identity,double_divide(X3,inverse(X2))),double_divide(double_divide(X2,double_divide(X,X3)),identity)) = double_divide(double_divide(identity,double_divide(X3,double_divide(X2,identity))),double_divide(double_divide(X2,double_divide(X,X3)),identity)),
inference(congruence,[status(thm)],[c30]) ).
cnf(c32,axiom,
double_divide(double_divide(identity,double_divide(A2,double_divide(B2,identity))),double_divide(double_divide(B2,double_divide(C,A2)),identity)) = C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c33,plain,
double_divide(double_divide(identity,double_divide(X3,double_divide(X2,identity))),double_divide(double_divide(X2,double_divide(X,X3)),identity)) = X,
inference(substitution,[status(thm)],[c32]) ).
cnf(c34,plain,
double_divide(double_divide(identity,double_divide(X3,inverse(X2))),double_divide(double_divide(X2,double_divide(X,X3)),identity)) = X,
inference(transitivity,[status(thm)],[c31,c33]) ).
cnf(c35,plain,
double_divide(double_divide(identity,double_divide(X3,inverse(X2))),inverse(double_divide(X2,double_divide(X,X3)))) = X,
inference(transitivity,[status(thm)],[c27,c34]) ).
cnf(c36,plain,
double_divide(double_divide(identity,double_divide(X3,inverse(X2))),multiply(double_divide(X,X3),X2)) = X,
inference(transitivity,[status(thm)],[c25,c35]) ).
cnf(c37,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),inverse(identity))),multiply(double_divide(inverse(identity),inverse(identity)),identity)) = inverse(identity),
inference(substitution,[status(thm)],[c36]) ).
cnf(c38,plain,
inverse(identity) = double_divide(double_divide(identity,double_divide(inverse(identity),inverse(identity))),multiply(double_divide(inverse(identity),inverse(identity)),identity)),
inference(symmetry,[status(thm)],[c37]) ).
cnf(c39,plain,
multiply(X,X2) = inverse(double_divide(X2,X)),
inference(symmetry,[status(thm)],[c7]) ).
cnf(c40,plain,
double_divide(double_divide(X2,X),multiply(X,X2)) = double_divide(double_divide(X2,X),inverse(double_divide(X2,X))),
inference(congruence,[status(thm)],[c39]) ).
cnf(c41,plain,
identity = double_divide(double_divide(X2,X),inverse(double_divide(X2,X))),
inference(substitution,[status(thm)],[c19]) ).
cnf(c42,plain,
double_divide(double_divide(X2,X),inverse(double_divide(X2,X))) = identity,
inference(symmetry,[status(thm)],[c41]) ).
cnf(c43,plain,
double_divide(double_divide(X2,X),multiply(X,X2)) = identity,
inference(transitivity,[status(thm)],[c40,c42]) ).
cnf(c44,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),inverse(identity))),multiply(double_divide(inverse(identity),inverse(identity)),identity)) = identity,
inference(substitution,[status(thm)],[c43]) ).
cnf(c45,plain,
inverse(identity) = identity,
inference(transitivity,[status(thm)],[c38,c44]) ).
cnf(c46,plain,
identity = inverse(identity),
inference(symmetry,[status(thm)],[c45]) ).
cnf(c47,plain,
double_divide(identity,multiply(double_divide(X2,X),X)) = double_divide(inverse(identity),multiply(double_divide(X2,X),X)),
inference(congruence,[status(thm)],[c46]) ).
cnf(c48,plain,
inverse(identity) = double_divide(identity,identity),
inference(substitution,[status(thm)],[c2]) ).
cnf(c49,plain,
double_divide(inverse(identity),multiply(double_divide(X2,X),X)) = double_divide(double_divide(identity,identity),multiply(double_divide(X2,X),X)),
inference(congruence,[status(thm)],[c48]) ).
cnf(c50,plain,
identity = double_divide(X,inverse(X)),
inference(substitution,[status(thm)],[c19]) ).
cnf(c51,plain,
double_divide(identity,identity) = double_divide(identity,double_divide(X,inverse(X))),
inference(congruence,[status(thm)],[c50]) ).
cnf(c52,plain,
double_divide(double_divide(identity,identity),multiply(double_divide(X2,X),X)) = double_divide(double_divide(identity,double_divide(X,inverse(X))),multiply(double_divide(X2,X),X)),
inference(congruence,[status(thm)],[c51]) ).
cnf(c53,plain,
double_divide(double_divide(identity,double_divide(X,inverse(X))),multiply(double_divide(X2,X),X)) = X2,
inference(substitution,[status(thm)],[c36]) ).
cnf(c54,plain,
double_divide(double_divide(identity,identity),multiply(double_divide(X2,X),X)) = X2,
inference(transitivity,[status(thm)],[c52,c53]) ).
cnf(c55,plain,
double_divide(inverse(identity),multiply(double_divide(X2,X),X)) = X2,
inference(transitivity,[status(thm)],[c49,c54]) ).
cnf(c56,plain,
double_divide(identity,multiply(double_divide(X2,X),X)) = X2,
inference(transitivity,[status(thm)],[c47,c55]) ).
cnf(c57,plain,
double_divide(identity,multiply(double_divide(X,inverse(X)),inverse(X))) = X,
inference(substitution,[status(thm)],[c56]) ).
cnf(c58,plain,
double_divide(identity,multiply(identity,inverse(X))) = X,
inference(transitivity,[status(thm)],[c22,c57]) ).
cnf(c59,plain,
double_divide(identity,inverse(inverse(inverse(X)))) = X,
inference(transitivity,[status(thm)],[c18,c58]) ).
cnf(c60,plain,
inverse(double_divide(identity,inverse(inverse(inverse(X))))) = inverse(X),
inference(congruence,[status(thm)],[c59]) ).
cnf(c61,plain,
multiply(inverse(inverse(inverse(X))),identity) = inverse(X),
inference(transitivity,[status(thm)],[c15,c60]) ).
cnf(c62,plain,
inverse(X) = multiply(inverse(inverse(inverse(X))),identity),
inference(symmetry,[status(thm)],[c61]) ).
cnf(c63,plain,
double_divide(identity,inverse(X)) = double_divide(identity,multiply(inverse(inverse(inverse(X))),identity)),
inference(congruence,[status(thm)],[c62]) ).
cnf(c64,plain,
inverse(X) = double_divide(X,identity),
inference(substitution,[status(thm)],[c2]) ).
cnf(c65,plain,
multiply(inverse(X),identity) = multiply(double_divide(X,identity),identity),
inference(congruence,[status(thm)],[c64]) ).
cnf(c66,plain,
double_divide(identity,multiply(inverse(X),identity)) = double_divide(identity,multiply(double_divide(X,identity),identity)),
inference(congruence,[status(thm)],[c65]) ).
cnf(c67,plain,
double_divide(identity,multiply(double_divide(X,identity),identity)) = X,
inference(substitution,[status(thm)],[c56]) ).
cnf(c68,plain,
double_divide(identity,multiply(inverse(X),identity)) = X,
inference(transitivity,[status(thm)],[c66,c67]) ).
cnf(c69,plain,
double_divide(identity,multiply(inverse(inverse(inverse(X))),identity)) = inverse(inverse(X)),
inference(substitution,[status(thm)],[c68]) ).
cnf(c70,plain,
double_divide(identity,inverse(X)) = inverse(inverse(X)),
inference(transitivity,[status(thm)],[c63,c69]) ).
cnf(c71,plain,
inverse(inverse(X)) = double_divide(identity,inverse(X)),
inference(symmetry,[status(thm)],[c70]) ).
cnf(c72,plain,
identity = inverse(identity),
inference(symmetry,[status(thm)],[c45]) ).
cnf(c73,plain,
double_divide(identity,inverse(X)) = double_divide(inverse(identity),inverse(X)),
inference(congruence,[status(thm)],[c72]) ).
cnf(c74,plain,
inverse(inverse(X)) = multiply(identity,X),
inference(symmetry,[status(thm)],[c13]) ).
cnf(c75,plain,
multiply(X2,inverse(inverse(X))) = multiply(X2,multiply(identity,X)),
inference(congruence,[status(thm)],[c74]) ).
cnf(c76,plain,
identity = double_divide(X,inverse(X)),
inference(substitution,[status(thm)],[c19]) ).
cnf(c77,plain,
multiply(identity,X) = multiply(double_divide(X2,inverse(X2)),X),
inference(congruence,[status(thm)],[c76]) ).
cnf(c78,plain,
multiply(X2,multiply(identity,X)) = multiply(X2,multiply(double_divide(X2,inverse(X2)),X)),
inference(congruence,[status(thm)],[c77]) ).
cnf(c79,plain,
double_divide(double_divide(identity,double_divide(X2,inverse(X))),multiply(double_divide(X3,X2),X)) = X3,
inference(substitution,[status(thm)],[c36]) ).
cnf(c80,plain,
X3 = double_divide(double_divide(identity,double_divide(X2,inverse(X))),multiply(double_divide(X3,X2),X)),
inference(symmetry,[status(thm)],[c79]) ).
cnf(c81,plain,
multiply(X3,multiply(double_divide(X3,X2),X)) = multiply(double_divide(double_divide(identity,double_divide(X2,inverse(X))),multiply(double_divide(X3,X2),X)),multiply(double_divide(X3,X2),X)),
inference(congruence,[status(thm)],[c80]) ).
cnf(c82,plain,
double_divide(identity,inverse(inverse(inverse(multiply(double_divide(X2,X),X))))) = multiply(double_divide(X2,X),X),
inference(substitution,[status(thm)],[c59]) ).
cnf(c83,plain,
multiply(double_divide(X2,X),X) = double_divide(identity,inverse(inverse(inverse(multiply(double_divide(X2,X),X))))),
inference(symmetry,[status(thm)],[c82]) ).
cnf(c84,plain,
double_divide(identity,inverse(inverse(inverse(X)))) = inverse(inverse(inverse(inverse(X)))),
inference(substitution,[status(thm)],[c70]) ).
cnf(c85,plain,
inverse(inverse(inverse(inverse(X)))) = double_divide(identity,inverse(inverse(inverse(X)))),
inference(symmetry,[status(thm)],[c84]) ).
cnf(c86,plain,
inverse(inverse(inverse(inverse(X)))) = X,
inference(transitivity,[status(thm)],[c85,c59]) ).
cnf(c87,plain,
X = inverse(inverse(inverse(inverse(X)))),
inference(symmetry,[status(thm)],[c86]) ).
cnf(c88,plain,
multiply(X,identity) = multiply(inverse(inverse(inverse(inverse(X)))),identity),
inference(congruence,[status(thm)],[c87]) ).
cnf(c89,plain,
multiply(inverse(inverse(inverse(inverse(X)))),identity) = inverse(inverse(X)),
inference(substitution,[status(thm)],[c61]) ).
cnf(c90,plain,
multiply(X,identity) = inverse(inverse(X)),
inference(transitivity,[status(thm)],[c88,c89]) ).
cnf(c91,plain,
multiply(multiply(double_divide(X2,X),X),identity) = inverse(inverse(multiply(double_divide(X2,X),X))),
inference(substitution,[status(thm)],[c90]) ).
cnf(c92,plain,
inverse(inverse(multiply(double_divide(X2,X),X))) = multiply(multiply(double_divide(X2,X),X),identity),
inference(symmetry,[status(thm)],[c91]) ).
cnf(c93,plain,
inverse(double_divide(identity,multiply(double_divide(X2,X),X))) = multiply(multiply(double_divide(X2,X),X),identity),
inference(substitution,[status(thm)],[c7]) ).
cnf(c94,plain,
multiply(multiply(double_divide(X2,X),X),identity) = inverse(double_divide(identity,multiply(double_divide(X2,X),X))),
inference(symmetry,[status(thm)],[c93]) ).
cnf(c95,plain,
inverse(double_divide(identity,multiply(double_divide(X2,X),X))) = inverse(X2),
inference(congruence,[status(thm)],[c56]) ).
cnf(c96,plain,
multiply(multiply(double_divide(X2,X),X),identity) = inverse(X2),
inference(transitivity,[status(thm)],[c94,c95]) ).
cnf(c97,plain,
inverse(inverse(multiply(double_divide(X2,X),X))) = inverse(X2),
inference(transitivity,[status(thm)],[c92,c96]) ).
cnf(c98,plain,
inverse(inverse(inverse(multiply(double_divide(X2,X),X)))) = inverse(inverse(X2)),
inference(congruence,[status(thm)],[c97]) ).
cnf(c99,plain,
double_divide(identity,inverse(inverse(inverse(multiply(double_divide(X2,X),X))))) = double_divide(identity,inverse(inverse(X2))),
inference(congruence,[status(thm)],[c98]) ).
cnf(c100,plain,
double_divide(identity,inverse(inverse(X))) = inverse(inverse(inverse(X))),
inference(substitution,[status(thm)],[c70]) ).
cnf(c101,plain,
double_divide(identity,inverse(inverse(inverse(multiply(double_divide(X2,X),X))))) = inverse(inverse(inverse(X2))),
inference(transitivity,[status(thm)],[c99,c100]) ).
cnf(c102,plain,
multiply(double_divide(X2,X),X) = inverse(inverse(inverse(X2))),
inference(transitivity,[status(thm)],[c83,c101]) ).
cnf(c103,plain,
multiply(double_divide(double_divide(identity,double_divide(X2,inverse(X))),multiply(double_divide(X3,X2),X)),multiply(double_divide(X3,X2),X)) = inverse(inverse(inverse(double_divide(identity,double_divide(X2,inverse(X)))))),
inference(substitution,[status(thm)],[c102]) ).
cnf(c104,plain,
inverse(double_divide(identity,double_divide(X2,inverse(X)))) = multiply(double_divide(X2,inverse(X)),identity),
inference(substitution,[status(thm)],[c7]) ).
cnf(c105,plain,
inverse(inverse(double_divide(identity,double_divide(X2,inverse(X))))) = inverse(multiply(double_divide(X2,inverse(X)),identity)),
inference(congruence,[status(thm)],[c104]) ).
cnf(c106,plain,
inverse(inverse(inverse(double_divide(identity,double_divide(X2,inverse(X)))))) = inverse(inverse(multiply(double_divide(X2,inverse(X)),identity))),
inference(congruence,[status(thm)],[c105]) ).
cnf(c107,plain,
multiply(double_divide(X2,inverse(X)),identity) = inverse(inverse(double_divide(X2,inverse(X)))),
inference(substitution,[status(thm)],[c90]) ).
cnf(c108,plain,
inverse(multiply(double_divide(X2,inverse(X)),identity)) = inverse(inverse(inverse(double_divide(X2,inverse(X))))),
inference(congruence,[status(thm)],[c107]) ).
cnf(c109,plain,
inverse(inverse(multiply(double_divide(X2,inverse(X)),identity))) = inverse(inverse(inverse(inverse(double_divide(X2,inverse(X)))))),
inference(congruence,[status(thm)],[c108]) ).
cnf(c110,plain,
inverse(inverse(inverse(inverse(double_divide(X2,inverse(X)))))) = double_divide(X2,inverse(X)),
inference(substitution,[status(thm)],[c86]) ).
cnf(c111,plain,
inverse(inverse(multiply(double_divide(X2,inverse(X)),identity))) = double_divide(X2,inverse(X)),
inference(transitivity,[status(thm)],[c109,c110]) ).
cnf(c112,plain,
inverse(inverse(inverse(double_divide(identity,double_divide(X2,inverse(X)))))) = double_divide(X2,inverse(X)),
inference(transitivity,[status(thm)],[c106,c111]) ).
cnf(c113,plain,
multiply(double_divide(double_divide(identity,double_divide(X2,inverse(X))),multiply(double_divide(X3,X2),X)),multiply(double_divide(X3,X2),X)) = double_divide(X2,inverse(X)),
inference(transitivity,[status(thm)],[c103,c112]) ).
cnf(c114,plain,
multiply(X3,multiply(double_divide(X3,X2),X)) = double_divide(X2,inverse(X)),
inference(transitivity,[status(thm)],[c81,c113]) ).
cnf(c115,plain,
multiply(X2,multiply(double_divide(X2,inverse(X2)),X)) = double_divide(inverse(X2),inverse(X)),
inference(substitution,[status(thm)],[c114]) ).
cnf(c116,plain,
multiply(X2,multiply(identity,X)) = double_divide(inverse(X2),inverse(X)),
inference(transitivity,[status(thm)],[c78,c115]) ).
cnf(c117,plain,
multiply(X2,inverse(inverse(X))) = double_divide(inverse(X2),inverse(X)),
inference(transitivity,[status(thm)],[c75,c116]) ).
cnf(c118,plain,
multiply(identity,inverse(inverse(X))) = double_divide(inverse(identity),inverse(X)),
inference(substitution,[status(thm)],[c117]) ).
cnf(c119,plain,
double_divide(inverse(identity),inverse(X)) = multiply(identity,inverse(inverse(X))),
inference(symmetry,[status(thm)],[c118]) ).
cnf(c120,plain,
multiply(identity,inverse(inverse(X))) = inverse(inverse(inverse(inverse(X)))),
inference(substitution,[status(thm)],[c13]) ).
cnf(c121,plain,
multiply(identity,inverse(inverse(X))) = X,
inference(transitivity,[status(thm)],[c120,c86]) ).
cnf(c122,plain,
double_divide(inverse(identity),inverse(X)) = X,
inference(transitivity,[status(thm)],[c119,c121]) ).
cnf(c123,plain,
double_divide(identity,inverse(X)) = X,
inference(transitivity,[status(thm)],[c73,c122]) ).
cnf(c124,plain,
inverse(inverse(X)) = X,
inference(transitivity,[status(thm)],[c71,c123]) ).
cnf(c125,plain,
multiply(identity,X) = X,
inference(transitivity,[status(thm)],[c13,c124]) ).
cnf(c126,plain,
multiply(identity,a2) = a2,
inference(substitution,[status(thm)],[c125]) ).
cnf(c127,plain,
$false,
inference(resolution,[status(thm)],[c1,c126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP497-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n013.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 27 10:05:22 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.43 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.13/0.43
% 0.13/0.43 % SZS status Unsatisfiable
% 0.13/0.43
% 0.13/0.44 % SZS output start CNFRefutation
% See solution above
% 0.13/0.47
% 0.13/0.47 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------