%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : REL009-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 12:33:02 PM UTC 2026
% Result : Unsatisfiable 6.75s 1.39s
% Output : Proof 6.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL009-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n017.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 22:45:35 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.75/1.39 Command-line arguments: --no-flatten-goal
% 6.75/1.39
% 6.75/1.39 % SZS status Unsatisfiable
% 6.75/1.39
% 6.75/1.39 % SZS output start Proof
% 6.75/1.39 Axiom 1 (converse_idempotence_8): converse(converse(X)) = X.
% 6.75/1.39 Axiom 2 (maddux1_join_commutativity_1): join(X, Y) = join(Y, X).
% 6.75/1.39 Axiom 3 (goals_14): join(sk1, sk2) = sk2.
% 6.75/1.39 Axiom 4 (converse_multiplicativity_10): converse(composition(X, Y)) = composition(converse(Y), converse(X)).
% 6.75/1.39 Axiom 5 (converse_additivity_9): converse(join(X, Y)) = join(converse(X), converse(Y)).
% 6.75/1.39 Axiom 6 (composition_distributivity_7): composition(join(X, Y), Z) = join(composition(X, Z), composition(Y, Z)).
% 6.75/1.39
% 6.75/1.39 Goal 1 (goals_15): tuple(join(composition(sk1, sk3), composition(sk2, sk3)), join(composition(sk3, sk1), composition(sk3, sk2))) = tuple(composition(sk2, sk3), composition(sk3, sk2)).
% 6.75/1.39 Proof:
% 6.75/1.39 tuple(join(composition(sk1, sk3), composition(sk2, sk3)), join(composition(sk3, sk1), composition(sk3, sk2)))
% 6.75/1.39 = { by axiom 6 (composition_distributivity_7) R->L }
% 6.75/1.39 tuple(composition(join(sk1, sk2), sk3), join(composition(sk3, sk1), composition(sk3, sk2)))
% 6.75/1.39 = { by axiom 3 (goals_14) }
% 6.75/1.39 tuple(composition(sk2, sk3), join(composition(sk3, sk1), composition(sk3, sk2)))
% 6.75/1.39 = { by axiom 2 (maddux1_join_commutativity_1) R->L }
% 6.75/1.39 tuple(composition(sk2, sk3), join(composition(sk3, sk2), composition(sk3, sk1)))
% 6.75/1.39 = { by axiom 1 (converse_idempotence_8) R->L }
% 6.75/1.39 tuple(composition(sk2, sk3), join(composition(sk3, sk2), composition(sk3, converse(converse(sk1)))))
% 6.75/1.39 = { by axiom 1 (converse_idempotence_8) R->L }
% 6.75/1.39 tuple(composition(sk2, sk3), converse(converse(join(composition(sk3, sk2), composition(sk3, converse(converse(sk1)))))))
% 6.75/1.39 = { by axiom 2 (maddux1_join_commutativity_1) R->L }
% 6.75/1.39 tuple(composition(sk2, sk3), converse(converse(join(composition(sk3, converse(converse(sk1))), composition(sk3, sk2)))))
% 6.75/1.39 = { by axiom 5 (converse_additivity_9) }
% 6.75/1.39 tuple(composition(sk2, sk3), converse(join(converse(composition(sk3, converse(converse(sk1)))), converse(composition(sk3, sk2)))))
% 6.75/1.39 = { by axiom 4 (converse_multiplicativity_10) }
% 6.75/1.39 tuple(composition(sk2, sk3), converse(join(composition(converse(converse(converse(sk1))), converse(sk3)), converse(composition(sk3, sk2)))))
% 6.75/1.39 = { by axiom 1 (converse_idempotence_8) }
% 6.75/1.39 tuple(composition(sk2, sk3), converse(join(composition(converse(sk1), converse(sk3)), converse(composition(sk3, sk2)))))
% 6.75/1.39 = { by axiom 2 (maddux1_join_commutativity_1) }
% 6.75/1.39 tuple(composition(sk2, sk3), converse(join(converse(composition(sk3, sk2)), composition(converse(sk1), converse(sk3)))))
% 6.75/1.39 = { by axiom 4 (converse_multiplicativity_10) }
% 6.75/1.39 tuple(composition(sk2, sk3), converse(join(composition(converse(sk2), converse(sk3)), composition(converse(sk1), converse(sk3)))))
% 6.75/1.39 = { by axiom 6 (composition_distributivity_7) R->L }
% 6.75/1.39 tuple(composition(sk2, sk3), converse(composition(join(converse(sk2), converse(sk1)), converse(sk3))))
% 6.75/1.39 = { by axiom 2 (maddux1_join_commutativity_1) R->L }
% 6.75/1.39 tuple(composition(sk2, sk3), converse(composition(join(converse(sk1), converse(sk2)), converse(sk3))))
% 6.75/1.39 = { by axiom 1 (converse_idempotence_8) R->L }
% 6.75/1.39 tuple(composition(sk2, sk3), converse(composition(join(converse(converse(converse(sk1))), converse(sk2)), converse(sk3))))
% 6.75/1.39 = { by axiom 5 (converse_additivity_9) R->L }
% 6.75/1.39 tuple(composition(sk2, sk3), converse(composition(converse(join(converse(converse(sk1)), sk2)), converse(sk3))))
% 6.75/1.39 = { by axiom 2 (maddux1_join_commutativity_1) }
% 6.75/1.39 tuple(composition(sk2, sk3), converse(composition(converse(join(sk2, converse(converse(sk1)))), converse(sk3))))
% 6.75/1.39 = { by axiom 4 (converse_multiplicativity_10) R->L }
% 6.75/1.39 tuple(composition(sk2, sk3), converse(converse(composition(sk3, join(sk2, converse(converse(sk1)))))))
% 6.75/1.39 = { by axiom 1 (converse_idempotence_8) }
% 6.75/1.39 tuple(composition(sk2, sk3), composition(sk3, join(sk2, converse(converse(sk1)))))
% 6.75/1.39 = { by axiom 1 (converse_idempotence_8) }
% 6.75/1.39 tuple(composition(sk2, sk3), composition(sk3, join(sk2, sk1)))
% 6.75/1.39 = { by axiom 2 (maddux1_join_commutativity_1) }
% 6.75/1.39 tuple(composition(sk2, sk3), composition(sk3, join(sk1, sk2)))
% 6.75/1.39 = { by axiom 3 (goals_14) }
% 6.75/1.39 tuple(composition(sk2, sk3), composition(sk3, sk2))
% 6.75/1.39 % SZS output end Proof
% 6.75/1.39
% 6.75/1.39 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------