%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL414-1 : TPTP v9.3.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n026.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 : Mon Sep 7 12:28:39 PM UTC 2026 % Result : Unsatisfiable 0.08s 0.36s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL414-1 : TPTP v9.3.1. Released v2.5.0. % 0.00/0.04 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.08/0.35 % Computer : n026.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 : Fri Sep 4 20:11:40 UTC 2026 % 0.08/0.35 % CPUTime : % 0.08/0.36 % SZS status Unsatisfiable % 0.08/0.36 % SZS output begin IncompleteProof % 0.08/0.36 cnf(c0, axiom, % 0.08/0.36 ~a_truth(implies(sk1,sk1))). % 0.08/0.36 cnf(c1, plain, % 0.08/0.36 ~a_truth(implies(sk1,sk1)), % 0.08/0.36 inference(start, [], [c0])). % 0.08/0.36 % 0.08/0.36 cnf(c2, axiom, % 0.08/0.36 ~a_truth(implies(X0,X1)) | ~a_truth(X0) | a_truth(X1)). % 0.08/0.36 cnf(a0, assumption, % 0.08/0.36 implies(sk1,sk1) = X1). % 0.08/0.36 cnf(c3, plain, % 0.08/0.36 $false, % 0.08/0.36 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.08/0.36 cnf(c4, plain, % 0.08/0.36 ~a_truth(implies(X0,X1)) | ~a_truth(X0), % 0.08/0.36 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.08/0.36 % 0.08/0.36 cnf(c5, axiom, % 0.08/0.36 ~a_truth(implies(X2,X3)) | ~a_truth(X2) | a_truth(X3)). % 0.08/0.36 cnf(a1, assumption, % 0.08/0.36 implies(X0,X1) = X3). % 0.08/0.36 cnf(c6, plain, % 0.08/0.36 ~a_truth(X0), % 0.08/0.36 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.08/0.36 cnf(c7, plain, % 0.08/0.36 ~a_truth(implies(X2,X3)) | ~a_truth(X2), % 0.08/0.36 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.08/0.36 % 0.08/0.36 cnf(c8, axiom, % 0.08/0.36 a_truth(implies(implies(X4,implies(X5,X6)),implies(implies(X4,X5),implies(X4,X6))))). % 0.08/0.36 cnf(a2, assumption, % 0.08/0.36 implies(X2,X3) = implies(implies(X4,implies(X5,X6)),implies(implies(X4,X5),implies(X4,X6)))). % 0.08/0.36 cnf(c9, plain, % 0.08/0.36 ~a_truth(X2), % 0.08/0.36 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 0.08/0.36 cnf(c10, plain, % 0.08/0.36 $false, % 0.08/0.36 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 0.08/0.36 % 0.08/0.36 cnf(c11, axiom, % 0.08/0.36 a_truth(implies(X7,implies(X8,X7)))). % 0.08/0.36 cnf(a3, assumption, % 0.08/0.36 X2 = implies(X7,implies(X8,X7))). % 0.08/0.36 cnf(c12, plain, % 0.08/0.36 $false, % 0.08/0.36 inference(strict_predicate_extension, [assumptions([a3])], [c9, c11])). % 0.08/0.36 cnf(c13, plain, % 0.08/0.36 $false, % 0.08/0.36 inference(strict_predicate_extension, [assumptions([a3])], [c9, c11])). % 0.08/0.36 % 0.08/0.36 cnf(c14, axiom, % 0.08/0.36 a_truth(implies(X9,implies(X10,X9)))). % 0.08/0.36 cnf(a4, assumption, % 0.08/0.36 X0 = implies(X9,implies(X10,X9))). % 0.08/0.36 cnf(c15, plain, % 0.08/0.36 $false, % 0.08/0.36 inference(strict_predicate_extension, [assumptions([a4])], [c6, c14])). % 0.08/0.36 cnf(c16, plain, % 0.08/0.36 $false, % 0.08/0.36 inference(strict_predicate_extension, [assumptions([a4])], [c6, c14])). % 0.08/0.36 % 0.08/0.36 cnf(c17, plain, % 0.08/0.36 $false, % 0.08/0.36 inference(constraint_solving, [ % 0.08/0.36 bind(X0, implies(X4,X5)), % 0.08/0.36 bind(X1, implies(sk1,sk1)), % 0.08/0.36 bind(X2, implies(X4,implies(X5,X6))), % 0.08/0.36 bind(X3, implies(X0,X1)), % 0.08/0.36 bind(X4, sk1), % 0.08/0.36 bind(X5, implies(X10,X9)), % 0.08/0.36 bind(X6, sk1), % 0.08/0.36 bind(X7, sk1), % 0.08/0.36 bind(X8, implies(X10,X9)), % 0.08/0.36 bind(X9, sk1), % 0.08/0.36 bind(X10, X10) % 0.08/0.36 ], % 0.08/0.36 [a0, a1, a2, a3, a4])). % 0.08/0.36 % 0.08/0.36 % SZS output end IncompleteProof %------------------------------------------------------------------------------