%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : REL008-1 : TPTP v9.3.1. Released v4.0.0.
% 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 12:33:01 PM UTC 2026
% Result : Unsatisfiable 3.67s 0.94s
% Output : CNFRefutation 3.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 6
% Syntax : Number of clauses : 76 ( 76 unt; 0 nHn; 4 RR)
% Number of literals : 76 ( 75 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 : 181 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
composition(sk1,join(sk2,sk3)) != join(composition(sk1,sk2),composition(sk1,sk3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
cnf(c2,axiom,
join(A,B) = join(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
cnf(c3,plain,
join(composition(X3,X),composition(X3,X2)) = join(composition(X3,X2),composition(X3,X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
join(composition(X3,X2),composition(X3,X)) = join(composition(X3,X),composition(X3,X2)),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,axiom,
converse(converse(A2)) = A2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence_8) ).
cnf(c6,plain,
converse(converse(X)) = X,
inference(substitution,[status(thm)],[c5]) ).
cnf(c7,plain,
X = converse(converse(X)),
inference(symmetry,[status(thm)],[c6]) ).
cnf(c8,plain,
composition(X2,X) = composition(X2,converse(converse(X))),
inference(congruence,[status(thm)],[c7]) ).
cnf(c9,plain,
join(composition(X3,X),composition(X3,X2)) = join(composition(X3,X),composition(X3,converse(converse(X2)))),
inference(congruence,[status(thm)],[c8]) ).
cnf(c10,plain,
converse(converse(join(composition(X3,X2),composition(X3,converse(X))))) = join(composition(X3,X2),composition(X3,converse(X))),
inference(substitution,[status(thm)],[c5]) ).
cnf(c11,plain,
join(composition(X3,X2),composition(X3,converse(X))) = converse(converse(join(composition(X3,X2),composition(X3,converse(X))))),
inference(symmetry,[status(thm)],[c10]) ).
cnf(c12,plain,
join(composition(X2,converse(X)),converse(X3)) = join(converse(X3),composition(X2,converse(X))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c13,plain,
join(converse(X3),composition(X2,converse(X))) = join(composition(X2,converse(X)),converse(X3)),
inference(symmetry,[status(thm)],[c12]) ).
cnf(c14,axiom,
converse(composition(A2,B2)) = composition(converse(B2),converse(A2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity_10) ).
cnf(c15,plain,
converse(composition(X2,converse(X))) = composition(converse(converse(X)),converse(X2)),
inference(substitution,[status(thm)],[c14]) ).
cnf(c16,plain,
converse(converse(X)) = X,
inference(substitution,[status(thm)],[c5]) ).
cnf(c17,plain,
composition(converse(converse(X)),converse(X2)) = composition(X,converse(X2)),
inference(congruence,[status(thm)],[c16]) ).
cnf(c18,plain,
converse(composition(X2,converse(X))) = composition(X,converse(X2)),
inference(transitivity,[status(thm)],[c15,c17]) ).
cnf(c19,plain,
converse(composition(X,converse(X2))) = composition(X2,converse(X)),
inference(substitution,[status(thm)],[c18]) ).
cnf(c20,plain,
composition(X2,converse(X)) = converse(composition(X,converse(X2))),
inference(symmetry,[status(thm)],[c19]) ).
cnf(c21,plain,
join(composition(X2,converse(X)),converse(X3)) = join(converse(composition(X,converse(X2))),converse(X3)),
inference(congruence,[status(thm)],[c20]) ).
cnf(c22,axiom,
converse(join(A2,B2)) = join(converse(A2),converse(B2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity_9) ).
cnf(c23,plain,
converse(join(composition(X,converse(X2)),X3)) = join(converse(composition(X,converse(X2))),converse(X3)),
inference(substitution,[status(thm)],[c22]) ).
cnf(c24,plain,
join(converse(composition(X,converse(X2))),converse(X3)) = converse(join(composition(X,converse(X2)),X3)),
inference(symmetry,[status(thm)],[c23]) ).
cnf(c25,plain,
join(composition(X,converse(X2)),X3) = join(X3,composition(X,converse(X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c26,plain,
converse(join(composition(X,converse(X2)),X3)) = converse(join(X3,composition(X,converse(X2)))),
inference(congruence,[status(thm)],[c25]) ).
cnf(c27,plain,
join(converse(composition(X,converse(X2))),converse(X3)) = converse(join(X3,composition(X,converse(X2)))),
inference(transitivity,[status(thm)],[c24,c26]) ).
cnf(c28,plain,
join(composition(X2,converse(X)),converse(X3)) = converse(join(X3,composition(X,converse(X2)))),
inference(transitivity,[status(thm)],[c21,c27]) ).
cnf(c29,plain,
join(converse(X3),composition(X2,converse(X))) = converse(join(X3,composition(X,converse(X2)))),
inference(transitivity,[status(thm)],[c13,c28]) ).
cnf(c30,plain,
join(converse(composition(X3,X2)),composition(X,converse(X3))) = converse(join(composition(X3,X2),composition(X3,converse(X)))),
inference(substitution,[status(thm)],[c29]) ).
cnf(c31,plain,
converse(join(composition(X3,X2),composition(X3,converse(X)))) = join(converse(composition(X3,X2)),composition(X,converse(X3))),
inference(symmetry,[status(thm)],[c30]) ).
cnf(c32,plain,
converse(composition(X2,X)) = composition(converse(X),converse(X2)),
inference(substitution,[status(thm)],[c14]) ).
cnf(c33,plain,
join(converse(composition(X3,X2)),composition(X,converse(X3))) = join(composition(converse(X2),converse(X3)),composition(X,converse(X3))),
inference(congruence,[status(thm)],[c32]) ).
cnf(c34,axiom,
composition(join(A2,B2),C) = join(composition(A2,C),composition(B2,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity_7) ).
cnf(c35,plain,
composition(join(converse(X2),X),converse(X3)) = join(composition(converse(X2),converse(X3)),composition(X,converse(X3))),
inference(substitution,[status(thm)],[c34]) ).
cnf(c36,plain,
join(composition(converse(X2),converse(X3)),composition(X,converse(X3))) = composition(join(converse(X2),X),converse(X3)),
inference(symmetry,[status(thm)],[c35]) ).
cnf(c37,plain,
join(X,converse(X2)) = join(converse(X2),X),
inference(substitution,[status(thm)],[c2]) ).
cnf(c38,plain,
join(converse(X2),X) = join(X,converse(X2)),
inference(symmetry,[status(thm)],[c37]) ).
cnf(c39,plain,
composition(join(converse(X3),X2),converse(X)) = composition(join(X2,converse(X3)),converse(X)),
inference(congruence,[status(thm)],[c38]) ).
cnf(c40,plain,
join(converse(X),X2) = join(X2,converse(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c41,plain,
join(X2,converse(X)) = join(converse(X),X2),
inference(symmetry,[status(thm)],[c40]) ).
cnf(c42,plain,
converse(join(X2,converse(X))) = converse(join(converse(X),X2)),
inference(congruence,[status(thm)],[c41]) ).
cnf(c43,plain,
converse(join(converse(X),X2)) = join(converse(converse(X)),converse(X2)),
inference(substitution,[status(thm)],[c22]) ).
cnf(c44,plain,
converse(converse(X)) = X,
inference(substitution,[status(thm)],[c5]) ).
cnf(c45,plain,
join(converse(converse(X)),converse(X2)) = join(X,converse(X2)),
inference(congruence,[status(thm)],[c44]) ).
cnf(c46,plain,
converse(join(converse(X),X2)) = join(X,converse(X2)),
inference(transitivity,[status(thm)],[c43,c45]) ).
cnf(c47,plain,
converse(join(X2,converse(X))) = join(X,converse(X2)),
inference(transitivity,[status(thm)],[c42,c46]) ).
cnf(c48,plain,
converse(join(X,converse(X2))) = join(X2,converse(X)),
inference(substitution,[status(thm)],[c47]) ).
cnf(c49,plain,
join(X2,converse(X)) = converse(join(X,converse(X2))),
inference(symmetry,[status(thm)],[c48]) ).
cnf(c50,plain,
composition(join(X3,converse(X2)),converse(X)) = composition(converse(join(X2,converse(X3))),converse(X)),
inference(congruence,[status(thm)],[c49]) ).
cnf(c51,plain,
converse(composition(X,join(X2,converse(X3)))) = composition(converse(join(X2,converse(X3))),converse(X)),
inference(substitution,[status(thm)],[c14]) ).
cnf(c52,plain,
composition(converse(join(X2,converse(X3))),converse(X)) = converse(composition(X,join(X2,converse(X3)))),
inference(symmetry,[status(thm)],[c51]) ).
cnf(c53,plain,
composition(join(X3,converse(X2)),converse(X)) = converse(composition(X,join(X2,converse(X3)))),
inference(transitivity,[status(thm)],[c50,c52]) ).
cnf(c54,plain,
composition(join(X2,converse(X3)),converse(X)) = converse(composition(X,join(X3,converse(X2)))),
inference(substitution,[status(thm)],[c53]) ).
cnf(c55,plain,
composition(join(converse(X3),X2),converse(X)) = converse(composition(X,join(X3,converse(X2)))),
inference(transitivity,[status(thm)],[c39,c54]) ).
cnf(c56,plain,
composition(join(converse(X2),X),converse(X3)) = converse(composition(X3,join(X2,converse(X)))),
inference(substitution,[status(thm)],[c55]) ).
cnf(c57,plain,
join(composition(converse(X2),converse(X3)),composition(X,converse(X3))) = converse(composition(X3,join(X2,converse(X)))),
inference(transitivity,[status(thm)],[c36,c56]) ).
cnf(c58,plain,
join(converse(composition(X3,X2)),composition(X,converse(X3))) = converse(composition(X3,join(X2,converse(X)))),
inference(transitivity,[status(thm)],[c33,c57]) ).
cnf(c59,plain,
converse(join(composition(X3,X2),composition(X3,converse(X)))) = converse(composition(X3,join(X2,converse(X)))),
inference(transitivity,[status(thm)],[c31,c58]) ).
cnf(c60,plain,
converse(converse(join(composition(X3,X2),composition(X3,converse(X))))) = converse(converse(composition(X3,join(X2,converse(X))))),
inference(congruence,[status(thm)],[c59]) ).
cnf(c61,plain,
converse(converse(composition(X3,join(X2,converse(X))))) = composition(X3,join(X2,converse(X))),
inference(substitution,[status(thm)],[c5]) ).
cnf(c62,plain,
converse(converse(join(composition(X3,X2),composition(X3,converse(X))))) = composition(X3,join(X2,converse(X))),
inference(transitivity,[status(thm)],[c60,c61]) ).
cnf(c63,plain,
join(composition(X3,X2),composition(X3,converse(X))) = composition(X3,join(X2,converse(X))),
inference(transitivity,[status(thm)],[c11,c62]) ).
cnf(c64,plain,
join(composition(X3,X),composition(X3,converse(converse(X2)))) = composition(X3,join(X,converse(converse(X2)))),
inference(substitution,[status(thm)],[c63]) ).
cnf(c65,plain,
converse(converse(X)) = X,
inference(substitution,[status(thm)],[c5]) ).
cnf(c66,plain,
join(X,converse(converse(X2))) = join(X,X2),
inference(congruence,[status(thm)],[c65]) ).
cnf(c67,plain,
composition(X3,join(X,converse(converse(X2)))) = composition(X3,join(X,X2)),
inference(congruence,[status(thm)],[c66]) ).
cnf(c68,plain,
join(X,X2) = join(X2,X),
inference(substitution,[status(thm)],[c2]) ).
cnf(c69,plain,
composition(X3,join(X,X2)) = composition(X3,join(X2,X)),
inference(congruence,[status(thm)],[c68]) ).
cnf(c70,plain,
composition(X3,join(X,converse(converse(X2)))) = composition(X3,join(X2,X)),
inference(transitivity,[status(thm)],[c67,c69]) ).
cnf(c71,plain,
join(composition(X3,X),composition(X3,converse(converse(X2)))) = composition(X3,join(X2,X)),
inference(transitivity,[status(thm)],[c64,c70]) ).
cnf(c72,plain,
join(composition(X3,X),composition(X3,X2)) = composition(X3,join(X2,X)),
inference(transitivity,[status(thm)],[c9,c71]) ).
cnf(c73,plain,
join(composition(X3,X2),composition(X3,X)) = composition(X3,join(X2,X)),
inference(transitivity,[status(thm)],[c4,c72]) ).
cnf(c74,plain,
join(composition(sk1,sk2),composition(sk1,sk3)) = composition(sk1,join(sk2,sk3)),
inference(substitution,[status(thm)],[c73]) ).
cnf(c75,plain,
composition(sk1,join(sk2,sk3)) = join(composition(sk1,sk2),composition(sk1,sk3)),
inference(symmetry,[status(thm)],[c74]) ).
cnf(c76,plain,
$false,
inference(resolution,[status(thm)],[c1,c75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL008-1 : TPTP v9.3.1. Released v4.0.0.
% 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 22:48:25 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.67/0.94 Command-line arguments: --no-flatten-goal
% 3.67/0.94
% 3.67/0.94 % SZS status Unsatisfiable
% 3.67/0.94
% 3.67/0.94 % SZS output start CNFRefutation
% See solution above
% 3.67/0.97
% 3.67/0.97 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------