%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP548-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 10:11:12 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.44s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 5
% Syntax : Number of clauses : 142 ( 142 unt; 0 nHn; 10 RR)
% Number of literals : 142 ( 141 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 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 : 250 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).
cnf(c2,axiom,
inverse(A) = divide(identity,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
cnf(c3,plain,
inverse(X) = divide(identity,X),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
divide(X2,inverse(X)) = divide(X2,divide(identity,X)),
inference(congruence,[status(thm)],[c3]) ).
cnf(c5,axiom,
multiply(A2,B) = divide(A2,divide(identity,B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(c6,plain,
multiply(X2,X) = divide(X2,divide(identity,X)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c7,plain,
divide(X2,divide(identity,X)) = multiply(X2,X),
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(identity,inverse(X)) = multiply(identity,X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c10,plain,
multiply(identity,X) = divide(identity,inverse(X)),
inference(symmetry,[status(thm)],[c9]) ).
cnf(c11,plain,
inverse(inverse(X)) = divide(identity,inverse(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c12,plain,
divide(identity,inverse(X)) = inverse(inverse(X)),
inference(symmetry,[status(thm)],[c11]) ).
cnf(c13,plain,
multiply(identity,X) = inverse(inverse(X)),
inference(transitivity,[status(thm)],[c10,c12]) ).
cnf(c14,plain,
inverse(inverse(X)) = multiply(identity,X),
inference(symmetry,[status(thm)],[c13]) ).
cnf(c15,plain,
inverse(identity) = divide(identity,identity),
inference(substitution,[status(thm)],[c2]) ).
cnf(c16,axiom,
identity = divide(A2,A2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
cnf(c17,plain,
identity = divide(identity,identity),
inference(substitution,[status(thm)],[c16]) ).
cnf(c18,plain,
divide(identity,identity) = identity,
inference(symmetry,[status(thm)],[c17]) ).
cnf(c19,plain,
inverse(identity) = identity,
inference(transitivity,[status(thm)],[c15,c18]) ).
cnf(c20,plain,
identity = inverse(identity),
inference(symmetry,[status(thm)],[c19]) ).
cnf(c21,plain,
multiply(identity,X) = multiply(inverse(identity),X),
inference(congruence,[status(thm)],[c20]) ).
cnf(c22,plain,
identity = divide(X,X),
inference(substitution,[status(thm)],[c16]) ).
cnf(c23,plain,
inverse(identity) = inverse(divide(X,X)),
inference(congruence,[status(thm)],[c22]) ).
cnf(c24,plain,
multiply(inverse(identity),X) = multiply(inverse(divide(X,X)),X),
inference(congruence,[status(thm)],[c23]) ).
cnf(c25,plain,
divide(inverse(divide(X2,X)),inverse(X2)) = multiply(inverse(divide(X2,X)),X2),
inference(substitution,[status(thm)],[c8]) ).
cnf(c26,plain,
multiply(inverse(divide(X2,X)),X2) = divide(inverse(divide(X2,X)),inverse(X2)),
inference(symmetry,[status(thm)],[c25]) ).
cnf(c27,plain,
inverse(X) = divide(identity,X),
inference(substitution,[status(thm)],[c2]) ).
cnf(c28,plain,
divide(inverse(divide(X2,X)),inverse(X2)) = divide(inverse(divide(X2,X)),divide(identity,X2)),
inference(congruence,[status(thm)],[c27]) ).
cnf(c29,plain,
identity = divide(X,X),
inference(substitution,[status(thm)],[c16]) ).
cnf(c30,plain,
divide(identity,X2) = divide(divide(X,X),X2),
inference(congruence,[status(thm)],[c29]) ).
cnf(c31,plain,
divide(inverse(divide(X2,X)),divide(identity,X2)) = divide(inverse(divide(X2,X)),divide(divide(X,X),X2)),
inference(congruence,[status(thm)],[c30]) ).
cnf(c32,plain,
inverse(divide(X2,X)) = divide(identity,divide(X2,X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c33,plain,
divide(inverse(divide(X2,X)),divide(divide(X,X3),X2)) = divide(divide(identity,divide(X2,X)),divide(divide(X,X3),X2)),
inference(congruence,[status(thm)],[c32]) ).
cnf(c34,axiom,
divide(divide(identity,divide(A2,B2)),divide(divide(B2,C),A2)) = C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c35,plain,
divide(divide(identity,divide(X3,X2)),divide(divide(X2,X),X3)) = X,
inference(substitution,[status(thm)],[c34]) ).
cnf(c36,plain,
divide(inverse(divide(X3,X2)),divide(divide(X2,X),X3)) = X,
inference(transitivity,[status(thm)],[c33,c35]) ).
cnf(c37,plain,
divide(inverse(divide(X2,X)),divide(divide(X,X),X2)) = X,
inference(substitution,[status(thm)],[c36]) ).
cnf(c38,plain,
divide(inverse(divide(X2,X)),divide(identity,X2)) = X,
inference(transitivity,[status(thm)],[c31,c37]) ).
cnf(c39,plain,
divide(inverse(divide(X2,X)),inverse(X2)) = X,
inference(transitivity,[status(thm)],[c28,c38]) ).
cnf(c40,plain,
multiply(inverse(divide(X2,X)),X2) = X,
inference(transitivity,[status(thm)],[c26,c39]) ).
cnf(c41,plain,
multiply(inverse(divide(X,X)),X) = X,
inference(substitution,[status(thm)],[c40]) ).
cnf(c42,plain,
multiply(inverse(identity),X) = X,
inference(transitivity,[status(thm)],[c24,c41]) ).
cnf(c43,plain,
multiply(identity,X) = X,
inference(transitivity,[status(thm)],[c21,c42]) ).
cnf(c44,plain,
inverse(inverse(X)) = X,
inference(transitivity,[status(thm)],[c14,c43]) ).
cnf(c45,plain,
X = inverse(inverse(X)),
inference(symmetry,[status(thm)],[c44]) ).
cnf(c46,plain,
multiply(X,X2) = multiply(inverse(inverse(X)),X2),
inference(congruence,[status(thm)],[c45]) ).
cnf(c47,plain,
inverse(inverse(multiply(inverse(X2),X))) = multiply(inverse(X2),X),
inference(substitution,[status(thm)],[c44]) ).
cnf(c48,plain,
multiply(inverse(X2),X) = inverse(inverse(multiply(inverse(X2),X))),
inference(symmetry,[status(thm)],[c47]) ).
cnf(c49,plain,
multiply(identity,multiply(inverse(X2),X)) = inverse(inverse(multiply(inverse(X2),X))),
inference(substitution,[status(thm)],[c13]) ).
cnf(c50,plain,
inverse(inverse(multiply(inverse(X2),X))) = multiply(identity,multiply(inverse(X2),X)),
inference(symmetry,[status(thm)],[c49]) ).
cnf(c51,plain,
identity = inverse(identity),
inference(symmetry,[status(thm)],[c19]) ).
cnf(c52,plain,
multiply(identity,multiply(inverse(X2),X)) = multiply(inverse(identity),multiply(inverse(X2),X)),
inference(congruence,[status(thm)],[c51]) ).
cnf(c53,plain,
X = inverse(inverse(X)),
inference(symmetry,[status(thm)],[c44]) ).
cnf(c54,plain,
divide(X2,X) = divide(X2,inverse(inverse(X))),
inference(congruence,[status(thm)],[c53]) ).
cnf(c55,plain,
divide(X2,inverse(inverse(X))) = multiply(X2,inverse(X)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c56,plain,
divide(X2,X) = multiply(X2,inverse(X)),
inference(transitivity,[status(thm)],[c54,c55]) ).
cnf(c57,plain,
multiply(X2,inverse(X)) = divide(X2,X),
inference(symmetry,[status(thm)],[c56]) ).
cnf(c58,plain,
multiply(multiply(X3,inverse(X2)),inverse(X)) = multiply(divide(X3,X2),inverse(X)),
inference(congruence,[status(thm)],[c57]) ).
cnf(c59,plain,
divide(divide(X3,X2),X) = multiply(divide(X3,X2),inverse(X)),
inference(substitution,[status(thm)],[c56]) ).
cnf(c60,plain,
multiply(divide(X3,X2),inverse(X)) = divide(divide(X3,X2),X),
inference(symmetry,[status(thm)],[c59]) ).
cnf(c61,plain,
multiply(inverse(divide(inverse(divide(X,X3)),divide(divide(X3,X2),X))),inverse(divide(X,X3))) = divide(divide(X3,X2),X),
inference(substitution,[status(thm)],[c40]) ).
cnf(c62,plain,
divide(divide(X3,X2),X) = multiply(inverse(divide(inverse(divide(X,X3)),divide(divide(X3,X2),X))),inverse(divide(X,X3))),
inference(symmetry,[status(thm)],[c61]) ).
cnf(c63,plain,
divide(inverse(divide(X,X3)),divide(divide(X3,X2),X)) = X2,
inference(substitution,[status(thm)],[c36]) ).
cnf(c64,plain,
inverse(divide(inverse(divide(X,X3)),divide(divide(X3,X2),X))) = inverse(X2),
inference(congruence,[status(thm)],[c63]) ).
cnf(c65,plain,
multiply(inverse(divide(inverse(divide(X,X3)),divide(divide(X3,X2),X))),inverse(divide(X,X3))) = multiply(inverse(X2),inverse(divide(X,X3))),
inference(congruence,[status(thm)],[c64]) ).
cnf(c66,plain,
divide(X,X2) = multiply(X,inverse(X2)),
inference(substitution,[status(thm)],[c56]) ).
cnf(c67,plain,
inverse(divide(X,X2)) = inverse(multiply(X,inverse(X2))),
inference(congruence,[status(thm)],[c66]) ).
cnf(c68,plain,
multiply(inverse(X2),inverse(divide(X,X3))) = multiply(inverse(X2),inverse(multiply(X,inverse(X3)))),
inference(congruence,[status(thm)],[c67]) ).
cnf(c69,plain,
X = inverse(inverse(X)),
inference(symmetry,[status(thm)],[c44]) ).
cnf(c70,plain,
multiply(X2,inverse(multiply(X,X2))) = multiply(inverse(inverse(X2)),inverse(multiply(X,X2))),
inference(congruence,[status(thm)],[c69]) ).
cnf(c71,plain,
multiply(X2,X) = divide(X2,inverse(X)),
inference(symmetry,[status(thm)],[c8]) ).
cnf(c72,plain,
inverse(multiply(X2,X)) = inverse(divide(X2,inverse(X))),
inference(congruence,[status(thm)],[c71]) ).
cnf(c73,plain,
multiply(inverse(multiply(X2,X)),X2) = multiply(inverse(divide(X2,inverse(X))),X2),
inference(congruence,[status(thm)],[c72]) ).
cnf(c74,plain,
multiply(inverse(divide(X2,inverse(X))),X2) = inverse(X),
inference(substitution,[status(thm)],[c40]) ).
cnf(c75,plain,
multiply(inverse(multiply(X2,X)),X2) = inverse(X),
inference(transitivity,[status(thm)],[c73,c74]) ).
cnf(c76,plain,
multiply(inverse(multiply(X,X2)),X) = inverse(X2),
inference(substitution,[status(thm)],[c75]) ).
cnf(c77,plain,
inverse(X2) = multiply(inverse(multiply(X,X2)),X),
inference(symmetry,[status(thm)],[c76]) ).
cnf(c78,plain,
inverse(inverse(X2)) = inverse(multiply(inverse(multiply(X,X2)),X)),
inference(congruence,[status(thm)],[c77]) ).
cnf(c79,plain,
multiply(inverse(inverse(X2)),inverse(multiply(X,X2))) = multiply(inverse(multiply(inverse(multiply(X,X2)),X)),inverse(multiply(X,X2))),
inference(congruence,[status(thm)],[c78]) ).
cnf(c80,plain,
multiply(inverse(multiply(inverse(multiply(X,X2)),X)),inverse(multiply(X,X2))) = inverse(X),
inference(substitution,[status(thm)],[c75]) ).
cnf(c81,plain,
multiply(inverse(inverse(X2)),inverse(multiply(X,X2))) = inverse(X),
inference(transitivity,[status(thm)],[c79,c80]) ).
cnf(c82,plain,
multiply(X2,inverse(multiply(X,X2))) = inverse(X),
inference(transitivity,[status(thm)],[c70,c81]) ).
cnf(c83,plain,
multiply(inverse(X2),inverse(multiply(multiply(X2,inverse(X)),inverse(X2)))) = inverse(multiply(X2,inverse(X))),
inference(substitution,[status(thm)],[c82]) ).
cnf(c84,plain,
inverse(multiply(X2,inverse(X))) = multiply(inverse(X2),inverse(multiply(multiply(X2,inverse(X)),inverse(X2)))),
inference(symmetry,[status(thm)],[c83]) ).
cnf(c85,plain,
multiply(X2,inverse(X)) = divide(X2,X),
inference(symmetry,[status(thm)],[c56]) ).
cnf(c86,plain,
multiply(multiply(X2,inverse(X)),inverse(X2)) = multiply(divide(X2,X),inverse(X2)),
inference(congruence,[status(thm)],[c85]) ).
cnf(c87,plain,
inverse(multiply(multiply(X2,inverse(X)),inverse(X2))) = inverse(multiply(divide(X2,X),inverse(X2))),
inference(congruence,[status(thm)],[c86]) ).
cnf(c88,plain,
divide(divide(X2,X),X2) = multiply(divide(X2,X),inverse(X2)),
inference(substitution,[status(thm)],[c56]) ).
cnf(c89,plain,
multiply(divide(X2,X),inverse(X2)) = divide(divide(X2,X),X2),
inference(symmetry,[status(thm)],[c88]) ).
cnf(c90,plain,
inverse(multiply(divide(X2,X),inverse(X2))) = inverse(divide(divide(X2,X),X2)),
inference(congruence,[status(thm)],[c89]) ).
cnf(c91,plain,
inverse(inverse(inverse(divide(divide(X2,X),X2)))) = inverse(divide(divide(X2,X),X2)),
inference(substitution,[status(thm)],[c44]) ).
cnf(c92,plain,
inverse(divide(divide(X2,X),X2)) = inverse(inverse(inverse(divide(divide(X2,X),X2)))),
inference(symmetry,[status(thm)],[c91]) ).
cnf(c93,plain,
multiply(identity,inverse(divide(divide(X2,X),X2))) = inverse(inverse(inverse(divide(divide(X2,X),X2)))),
inference(substitution,[status(thm)],[c13]) ).
cnf(c94,plain,
inverse(inverse(inverse(divide(divide(X2,X),X2)))) = multiply(identity,inverse(divide(divide(X2,X),X2))),
inference(symmetry,[status(thm)],[c93]) ).
cnf(c95,plain,
identity = inverse(identity),
inference(symmetry,[status(thm)],[c19]) ).
cnf(c96,plain,
multiply(identity,inverse(divide(divide(X2,X),X2))) = multiply(inverse(identity),inverse(divide(divide(X2,X),X2))),
inference(congruence,[status(thm)],[c95]) ).
cnf(c97,plain,
divide(inverse(identity),divide(divide(X2,X),X2)) = multiply(inverse(identity),inverse(divide(divide(X2,X),X2))),
inference(substitution,[status(thm)],[c56]) ).
cnf(c98,plain,
multiply(inverse(identity),inverse(divide(divide(X2,X),X2))) = divide(inverse(identity),divide(divide(X2,X),X2)),
inference(symmetry,[status(thm)],[c97]) ).
cnf(c99,plain,
identity = divide(X,X),
inference(substitution,[status(thm)],[c16]) ).
cnf(c100,plain,
inverse(identity) = inverse(divide(X,X)),
inference(congruence,[status(thm)],[c99]) ).
cnf(c101,plain,
divide(inverse(identity),divide(divide(X2,X),X2)) = divide(inverse(divide(X2,X2)),divide(divide(X2,X),X2)),
inference(congruence,[status(thm)],[c100]) ).
cnf(c102,plain,
divide(inverse(divide(X2,X2)),divide(divide(X2,X),X2)) = X,
inference(substitution,[status(thm)],[c36]) ).
cnf(c103,plain,
divide(inverse(identity),divide(divide(X2,X),X2)) = X,
inference(transitivity,[status(thm)],[c101,c102]) ).
cnf(c104,plain,
multiply(inverse(identity),inverse(divide(divide(X2,X),X2))) = X,
inference(transitivity,[status(thm)],[c98,c103]) ).
cnf(c105,plain,
multiply(identity,inverse(divide(divide(X2,X),X2))) = X,
inference(transitivity,[status(thm)],[c96,c104]) ).
cnf(c106,plain,
inverse(inverse(inverse(divide(divide(X2,X),X2)))) = X,
inference(transitivity,[status(thm)],[c94,c105]) ).
cnf(c107,plain,
inverse(divide(divide(X2,X),X2)) = X,
inference(transitivity,[status(thm)],[c92,c106]) ).
cnf(c108,plain,
inverse(multiply(divide(X2,X),inverse(X2))) = X,
inference(transitivity,[status(thm)],[c90,c107]) ).
cnf(c109,plain,
inverse(multiply(multiply(X2,inverse(X)),inverse(X2))) = X,
inference(transitivity,[status(thm)],[c87,c108]) ).
cnf(c110,plain,
multiply(inverse(X2),inverse(multiply(multiply(X2,inverse(X)),inverse(X2)))) = multiply(inverse(X2),X),
inference(congruence,[status(thm)],[c109]) ).
cnf(c111,plain,
inverse(multiply(X2,inverse(X))) = multiply(inverse(X2),X),
inference(transitivity,[status(thm)],[c84,c110]) ).
cnf(c112,plain,
inverse(multiply(X,inverse(X2))) = multiply(inverse(X),X2),
inference(substitution,[status(thm)],[c111]) ).
cnf(c113,plain,
multiply(inverse(X2),inverse(multiply(X,inverse(X3)))) = multiply(inverse(X2),multiply(inverse(X),X3)),
inference(congruence,[status(thm)],[c112]) ).
cnf(c114,plain,
multiply(inverse(X2),inverse(divide(X,X3))) = multiply(inverse(X2),multiply(inverse(X),X3)),
inference(transitivity,[status(thm)],[c68,c113]) ).
cnf(c115,plain,
multiply(inverse(divide(inverse(divide(X,X3)),divide(divide(X3,X2),X))),inverse(divide(X,X3))) = multiply(inverse(X2),multiply(inverse(X),X3)),
inference(transitivity,[status(thm)],[c65,c114]) ).
cnf(c116,plain,
divide(divide(X3,X2),X) = multiply(inverse(X2),multiply(inverse(X),X3)),
inference(transitivity,[status(thm)],[c62,c115]) ).
cnf(c117,plain,
multiply(divide(X3,X2),inverse(X)) = multiply(inverse(X2),multiply(inverse(X),X3)),
inference(transitivity,[status(thm)],[c60,c116]) ).
cnf(c118,plain,
multiply(multiply(X3,inverse(X2)),inverse(X)) = multiply(inverse(X2),multiply(inverse(X),X3)),
inference(transitivity,[status(thm)],[c58,c117]) ).
cnf(c119,plain,
multiply(multiply(X,inverse(identity)),inverse(X2)) = multiply(inverse(identity),multiply(inverse(X2),X)),
inference(substitution,[status(thm)],[c118]) ).
cnf(c120,plain,
multiply(inverse(identity),multiply(inverse(X2),X)) = multiply(multiply(X,inverse(identity)),inverse(X2)),
inference(symmetry,[status(thm)],[c119]) ).
cnf(c121,plain,
multiply(X,inverse(identity)) = multiply(X,identity),
inference(congruence,[status(thm)],[c19]) ).
cnf(c122,plain,
multiply(multiply(X,inverse(identity)),inverse(X2)) = multiply(multiply(X,identity),inverse(X2)),
inference(congruence,[status(thm)],[c121]) ).
cnf(c123,plain,
X = inverse(inverse(X)),
inference(symmetry,[status(thm)],[c44]) ).
cnf(c124,plain,
multiply(X,identity) = multiply(inverse(inverse(X)),identity),
inference(congruence,[status(thm)],[c123]) ).
cnf(c125,plain,
inverse(X) = divide(identity,X),
inference(substitution,[status(thm)],[c2]) ).
cnf(c126,plain,
inverse(inverse(X)) = inverse(divide(identity,X)),
inference(congruence,[status(thm)],[c125]) ).
cnf(c127,plain,
multiply(inverse(inverse(X)),identity) = multiply(inverse(divide(identity,X)),identity),
inference(congruence,[status(thm)],[c126]) ).
cnf(c128,plain,
multiply(inverse(divide(identity,X)),identity) = X,
inference(substitution,[status(thm)],[c40]) ).
cnf(c129,plain,
multiply(inverse(inverse(X)),identity) = X,
inference(transitivity,[status(thm)],[c127,c128]) ).
cnf(c130,plain,
multiply(X,identity) = X,
inference(transitivity,[status(thm)],[c124,c129]) ).
cnf(c131,plain,
multiply(multiply(X,identity),inverse(X2)) = multiply(X,inverse(X2)),
inference(congruence,[status(thm)],[c130]) ).
cnf(c132,plain,
multiply(multiply(X,inverse(identity)),inverse(X2)) = multiply(X,inverse(X2)),
inference(transitivity,[status(thm)],[c122,c131]) ).
cnf(c133,plain,
multiply(inverse(identity),multiply(inverse(X2),X)) = multiply(X,inverse(X2)),
inference(transitivity,[status(thm)],[c120,c132]) ).
cnf(c134,plain,
multiply(identity,multiply(inverse(X2),X)) = multiply(X,inverse(X2)),
inference(transitivity,[status(thm)],[c52,c133]) ).
cnf(c135,plain,
inverse(inverse(multiply(inverse(X2),X))) = multiply(X,inverse(X2)),
inference(transitivity,[status(thm)],[c50,c134]) ).
cnf(c136,plain,
multiply(inverse(X2),X) = multiply(X,inverse(X2)),
inference(transitivity,[status(thm)],[c48,c135]) ).
cnf(c137,plain,
multiply(inverse(inverse(X)),X2) = multiply(X2,inverse(inverse(X))),
inference(substitution,[status(thm)],[c136]) ).
cnf(c138,plain,
multiply(X2,inverse(inverse(X))) = multiply(X2,X),
inference(congruence,[status(thm)],[c44]) ).
cnf(c139,plain,
multiply(inverse(inverse(X)),X2) = multiply(X2,X),
inference(transitivity,[status(thm)],[c137,c138]) ).
cnf(c140,plain,
multiply(X,X2) = multiply(X2,X),
inference(transitivity,[status(thm)],[c46,c139]) ).
cnf(c141,plain,
multiply(a,b) = multiply(b,a),
inference(substitution,[status(thm)],[c140]) ).
cnf(c142,plain,
$false,
inference(resolution,[status(thm)],[c1,c141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP548-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n007.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 27 10:04:54 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.44 Command-line arguments: --no-flatten-goal
% 0.12/0.44
% 0.12/0.44 % SZS status Unsatisfiable
% 0.12/0.44
% 0.12/0.45 % SZS output start CNFRefutation
% See solution above
% 0.38/0.55
% 0.38/0.55 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------