%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL454+1 : TPTP v9.3.1. Bugfixed v9.2.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n015.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 12:28:45 PM UTC 2026 % Result : Theorem 114.42s 15.01s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL454+1 : TPTP v9.3.1. Bugfixed v9.2.0. % 0.00/0.04 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.09/0.35 % Computer : n015.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Sat Sep 5 21:42:58 UTC 2026 % 0.09/0.36 % CPUTime : % 114.42/15.01 % SZS status Theorem % 114.42/15.01 % SZS output begin IncompleteProof % 114.42/15.01 cnf(c0, axiom, % 114.42/15.01 ~r1). % 114.42/15.01 cnf(c1, plain, % 114.42/15.01 ~r1, % 114.42/15.01 inference(start, [], [c0])). % 114.42/15.01 % 114.42/15.01 cnf(c2, axiom, % 114.42/15.01 r1 | ~is_a_theorem(implies(or(sK44,sK44),sK44))). % 114.42/15.01 cnf(c3, plain, % 114.42/15.01 $false, % 114.42/15.01 inference(strict_predicate_extension, [], [c1, c2])). % 114.42/15.01 cnf(c4, plain, % 114.42/15.01 ~is_a_theorem(implies(or(sK44,sK44),sK44)), % 114.42/15.01 inference(strict_predicate_extension, [], [c1, c2])). % 114.42/15.01 % 114.42/15.01 cnf(c5, axiom, % 114.42/15.01 is_a_theorem(X0) | ~is_a_theorem(implies(X1,X0)) | ~is_a_theorem(X1) | ~modus_ponens). % 114.42/15.01 cnf(a0, assumption, % 114.42/15.01 implies(or(sK44,sK44),sK44) = X0). % 114.42/15.01 cnf(c6, plain, % 114.42/15.01 $false, % 114.42/15.01 inference(strict_predicate_extension, [assumptions([a0])], [c4, c5])). % 114.42/15.01 cnf(c7, plain, % 114.42/15.01 ~is_a_theorem(implies(X1,X0)) | ~is_a_theorem(X1) | ~modus_ponens, % 114.42/15.01 inference(strict_predicate_extension, [assumptions([a0])], [c4, c5])). % 114.42/15.01 % 114.42/15.01 cnf(c8, axiom, % 114.42/15.01 is_a_theorem(implies(implies(X2,implies(X2,X3)),implies(X2,X3))) | ~implies_2). % 114.42/15.01 cnf(a1, assumption, % 114.42/15.01 implies(X1,X0) = implies(implies(X2,implies(X2,X3)),implies(X2,X3))). % 114.42/15.01 cnf(c9, plain, % 114.42/15.01 ~is_a_theorem(X1) | ~modus_ponens, % 114.42/15.01 inference(strict_predicate_extension, [assumptions([a1])], [c7, c8])). % 114.42/15.01 cnf(c10, plain, % 114.42/15.01 ~implies_2, % 114.42/15.01 inference(strict_predicate_extension, [assumptions([a1])], [c7, c8])). % 114.42/15.01 % 114.42/15.01 cnf(c11, axiom, % 114.42/15.01 implies_2). % 114.42/15.01 cnf(c12, plain, % 114.42/15.01 $false, % 114.42/15.01 inference(strict_predicate_extension, [], [c10, c11])). % 114.42/15.01 cnf(c13, plain, % 114.42/15.01 $false, % 114.42/15.01 inference(strict_predicate_extension, [], [c10, c11])). % 114.42/15.01 % 114.42/15.01 cnf(c14, axiom, % 114.42/15.01 is_a_theorem(X4) | ~is_a_theorem(implies(X5,X4)) | ~is_a_theorem(X5) | ~modus_ponens). % 114.42/15.01 cnf(a2, assumption, % 114.42/15.01 X1 = X4). % 114.42/15.01 cnf(c15, plain, % 114.42/15.01 ~modus_ponens, % 114.42/15.01 inference(strict_predicate_extension, [assumptions([a2])], [c9, c14])). % 114.42/15.01 cnf(c16, plain, % 114.42/15.01 ~is_a_theorem(implies(X5,X4)) | ~is_a_theorem(X5) | ~modus_ponens, % 114.42/15.01 inference(strict_predicate_extension, [assumptions([a2])], [c9, c14])). % 114.42/15.01 % 114.42/15.01 cnf(c17, axiom, % 114.42/15.01 is_a_theorem(X6) | ~is_a_theorem(implies(X7,X6)) | ~is_a_theorem(X7) | ~modus_ponens). % 114.42/15.01 cnf(a3, assumption, % 114.42/15.01 implies(X5,X4) = X6). % 114.42/15.01 cnf(c18, plain, % 114.42/15.01 ~is_a_theorem(X5) | ~modus_ponens, % 114.42/15.01 inference(strict_predicate_extension, [assumptions([a3])], [c16, c17])). % 114.42/15.01 cnf(c19, plain, % 114.42/15.01 ~is_a_theorem(implies(X7,X6)) | ~is_a_theorem(X7) | ~modus_ponens, % 114.42/15.01 inference(strict_predicate_extension, [assumptions([a3])], [c16, c17])). % 114.42/15.01 % 114.42/15.01 cnf(c20, axiom, % 114.42/15.01 is_a_theorem(implies(implies(X8,X9),implies(implies(X10,X9),implies(or(X8,X10),X9)))) | ~or_3). % 114.42/15.01 cnf(a4, assumption, % 114.42/15.01 implies(X7,X6) = implies(implies(X8,X9),implies(implies(X10,X9),implies(or(X8,X10),X9)))). % 114.42/15.01 cnf(c21, plain, % 114.42/15.01 ~is_a_theorem(X7) | ~modus_ponens, % 114.42/15.01 inference(strict_predicate_extension, [assumptions([a4])], [c19, c20])). % 114.42/15.01 cnf(c22, plain, % 114.42/15.01 ~or_3, % 114.42/15.01 inference(strict_predicate_extension, [assumptions([a4])], [c19, c20])). % 114.42/15.01 % 114.42/15.01 cnf(c23, axiom, % 114.42/15.01 or_3). % 114.42/15.01 cnf(c24, plain, % 114.42/15.01 $false, % 114.42/15.01 inference(strict_predicate_extension, [], [c22, c23])). % 114.42/15.01 cnf(c25, plain, % 114.42/15.01 $false, % 114.42/15.01 inference(strict_predicate_extension, [], [c22, c23])). % 114.42/15.01 % 114.42/15.01 cnf(c26, axiom, % 114.42/15.01 is_a_theorem(implies(X11,implies(X12,X11))) | ~implies_1). % 114.42/15.01 cnf(a5, assumption, % 114.42/15.01 X7 = implies(X11,implies(X12,X11))). % 114.42/15.01 cnf(c27, plain, % 114.42/15.01 ~modus_ponens, % 114.42/15.01 inference(strict_predicate_extension, [assumptions([a5])], [c21, c26])). % 114.42/15.01 cnf(c28, plain, % 114.42/15.01 ~implies_1, % 114.42/15.01 inference(strict_predicate_extension, [assumptions([a5])], [c21, c26])). % 114.42/15.01 % 114.42/15.01 cnf(c29, axiom, % 114.42/15.01 implies_1). % 114.42/15.01 cnf(c30, plain, % 114.42/15.01 $false, % 114.42/15.01 inference(strict_predicate_extension, [], [c28, c29])). % 114.42/15.01 cnf(c31, plain, % 114.42/15.01 $false, % 114.42/15.01 inference(strict_predicate_extension, [], [c28, c29])). % 114.42/15.01 % 114.42/15.01 cnf(c32, axiom, % 114.42/15.01 modus_ponens). % 114.42/15.01 cnf(c33, plain, % 114.42/15.01 $false, % 114.42/15.01 inference(strict_predicate_extension, [], [c27, c32])). % 114.42/15.01 cnf(c34, plain, % 114.42/15.01 $false, % 114.42/15.01 inference(strict_predicate_extension, [], [c27, c32])). % 114.42/15.01 % 114.42/15.01 cnf(c35, plain, % 114.42/15.01 is_a_theorem(X7)). % 114.42/15.01 cnf(a6, assumption, % 114.42/15.01 X5 = X7). % 114.42/15.01 cnf(c36, plain, % 114.42/15.01 ~modus_ponens, % 114.42/15.01 inference(predicate_reduction, [assumptions([a6])], [c18, c35])). % 114.42/15.01 % 114.42/15.01 cnf(c37, plain, % 114.42/15.01 modus_ponens). % 114.42/15.01 cnf(c38, plain, % 114.42/15.01 $false, % 114.42/15.01 inference(predicate_reduction, [], [c36, c37])). % 114.42/15.01 % 114.42/15.01 cnf(c39, plain, % 114.42/15.01 modus_ponens). % 114.42/15.01 cnf(c40, plain, % 114.42/15.01 $false, % 114.42/15.01 inference(predicate_reduction, [], [c15, c39])). % 114.42/15.01 % 114.42/15.01 cnf(c41, plain, % 114.42/15.01 $false, % 114.42/15.01 inference(constraint_solving, [ % 114.42/15.01 bind(X0, implies(or(sK44,sK44),sK44)), % 114.42/15.01 bind(X1, implies(X2,implies(X2,X3))), % 114.42/15.01 bind(X2, or(sK44,sK44)), % 114.42/15.01 bind(X3, sK44), % 114.42/15.01 bind(X4, implies(X2,implies(X2,X3))), % 114.42/15.01 bind(X5, implies(X10,X9)), % 114.42/15.01 bind(X6, implies(X5,X4)), % 114.42/15.01 bind(X7, implies(X8,X9)), % 114.42/15.01 bind(X8, sK44), % 114.42/15.01 bind(X9, implies(X2,X3)), % 114.42/15.01 bind(X10, sK44), % 114.42/15.01 bind(X11, sK44), % 114.42/15.01 bind(X12, or(sK44,sK44)) % 114.42/15.01 ], % 114.42/15.01 [a0, a1, a2, a3, a4, a5, a6])). % 114.42/15.01 % 114.42/15.01 % SZS output end IncompleteProof %------------------------------------------------------------------------------