%------------------------------------------------------------------------------ % 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 : n027.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 : Theorem 0.13s 0.43s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.04 % Problem : LCL414+1 : TPTP v9.3.1. Released v2.5.0. % 0.00/0.06 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.41 % Computer : n027.cluster.edu % 0.13/0.41 % Model : x86_64 x86_64 % 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.41 % Memory : 8046.5625MB % 0.13/0.41 % OS : Linux 6.8.0-71-generic % 0.13/0.41 % CPULimit : 300 % 0.13/0.41 % WCLimit : 300 % 0.13/0.41 % DateTime : Sat Sep 5 13:02:43 UTC 2026 % 0.13/0.41 % CPUTime : % 0.13/0.43 % SZS status Theorem % 0.13/0.43 % SZS output begin IncompleteProof % 0.13/0.43 cnf(c0, axiom, % 0.13/0.43 ~a_truth(implies(sK0,sK0))). % 0.13/0.43 cnf(c1, plain, % 0.13/0.43 ~a_truth(implies(sK0,sK0)), % 0.13/0.43 inference(start, [], [c0])). % 0.13/0.43 % 0.13/0.43 cnf(c2, axiom, % 0.13/0.43 a_truth(X0) | ~a_truth(X1) | ~a_truth(implies(X1,X0))). % 0.13/0.43 cnf(a0, assumption, % 0.13/0.43 implies(sK0,sK0) = X0). % 0.13/0.43 cnf(c3, plain, % 0.13/0.43 $false, % 0.13/0.43 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.13/0.43 cnf(c4, plain, % 0.13/0.43 ~a_truth(X1) | ~a_truth(implies(X1,X0)), % 0.13/0.43 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.13/0.43 % 0.13/0.43 cnf(c5, axiom, % 0.13/0.43 a_truth(implies(X2,implies(X3,X2)))). % 0.13/0.43 cnf(a1, assumption, % 0.13/0.43 X1 = implies(X2,implies(X3,X2))). % 0.13/0.43 cnf(c6, plain, % 0.13/0.43 ~a_truth(implies(X1,X0)), % 0.13/0.43 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.13/0.43 cnf(c7, plain, % 0.13/0.43 $false, % 0.13/0.43 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.13/0.43 % 0.13/0.43 cnf(c8, axiom, % 0.13/0.43 a_truth(X4) | ~a_truth(X5) | ~a_truth(implies(X5,X4))). % 0.13/0.43 cnf(a2, assumption, % 0.13/0.43 implies(X1,X0) = X4). % 0.13/0.43 cnf(c9, plain, % 0.13/0.43 $false, % 0.13/0.43 inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])). % 0.13/0.43 cnf(c10, plain, % 0.13/0.43 ~a_truth(X5) | ~a_truth(implies(X5,X4)), % 0.13/0.43 inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])). % 0.13/0.43 % 0.13/0.43 cnf(c11, axiom, % 0.13/0.43 a_truth(implies(X6,implies(X7,X6)))). % 0.13/0.43 cnf(a3, assumption, % 0.13/0.43 X5 = implies(X6,implies(X7,X6))). % 0.13/0.43 cnf(c12, plain, % 0.13/0.43 ~a_truth(implies(X5,X4)), % 0.13/0.43 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 0.13/0.43 cnf(c13, plain, % 0.13/0.43 $false, % 0.13/0.43 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 0.13/0.43 % 0.13/0.43 cnf(c14, axiom, % 0.13/0.43 a_truth(implies(implies(X8,implies(X9,X10)),implies(implies(X8,X9),implies(X8,X10))))). % 0.13/0.43 cnf(a4, assumption, % 0.13/0.43 implies(X5,X4) = implies(implies(X8,implies(X9,X10)),implies(implies(X8,X9),implies(X8,X10)))). % 0.13/0.43 cnf(c15, plain, % 0.13/0.43 $false, % 0.13/0.43 inference(strict_predicate_extension, [assumptions([a4])], [c12, c14])). % 0.13/0.43 cnf(c16, plain, % 0.13/0.43 $false, % 0.13/0.43 inference(strict_predicate_extension, [assumptions([a4])], [c12, c14])). % 0.13/0.43 % 0.13/0.43 cnf(c17, plain, % 0.13/0.43 $false, % 0.13/0.43 inference(constraint_solving, [ % 0.13/0.43 bind(X0, implies(sK0,sK0)), % 0.13/0.43 bind(X1, implies(X2,implies(X3,X2))), % 0.13/0.43 bind(X2, sK0), % 0.13/0.43 bind(X3, X3), % 0.13/0.43 bind(X4, implies(X1,X0)), % 0.13/0.43 bind(X5, implies(X6,implies(X7,X6))), % 0.13/0.43 bind(X6, sK0), % 0.13/0.43 bind(X7, implies(X3,X2)), % 0.13/0.43 bind(X8, sK0), % 0.13/0.43 bind(X9, implies(X3,X2)), % 0.13/0.43 bind(X10, sK0) % 0.13/0.43 ], % 0.13/0.43 [a0, a1, a2, a3, a4])). % 0.13/0.43 % 0.13/0.43 % SZS output end IncompleteProof %------------------------------------------------------------------------------