%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL456+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 : 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 12:28:45 PM UTC 2026 % Result : Theorem 3.45s 0.86s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL456+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 % 0.09/0.36 % Computer : n027.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Fri Sep 4 18:45:12 UTC 2026 % 0.09/0.36 % CPUTime : % 3.45/0.86 % SZS status Theorem % 3.45/0.86 % SZS output begin IncompleteProof % 3.45/0.86 cnf(c0, axiom, % 3.45/0.86 ~r3). % 3.45/0.86 cnf(c1, plain, % 3.45/0.86 ~r3, % 3.45/0.86 inference(start, [], [c0])). % 3.45/0.86 % 3.45/0.86 cnf(c2, axiom, % 3.45/0.86 r3 | ~is_a_theorem(implies(or(sK47,sK48),or(sK48,sK47)))). % 3.45/0.86 cnf(c3, plain, % 3.45/0.86 $false, % 3.45/0.86 inference(strict_predicate_extension, [], [c1, c2])). % 3.45/0.86 cnf(c4, plain, % 3.45/0.86 ~is_a_theorem(implies(or(sK47,sK48),or(sK48,sK47))), % 3.45/0.86 inference(strict_predicate_extension, [], [c1, c2])). % 3.45/0.86 % 3.45/0.86 cnf(c5, axiom, % 3.45/0.86 is_a_theorem(X0) | ~is_a_theorem(implies(X1,X0)) | ~is_a_theorem(X1) | ~modus_ponens). % 3.45/0.86 cnf(a0, assumption, % 3.45/0.86 implies(or(sK47,sK48),or(sK48,sK47)) = X0). % 3.45/0.86 cnf(c6, plain, % 3.45/0.86 $false, % 3.45/0.86 inference(strict_predicate_extension, [assumptions([a0])], [c4, c5])). % 3.45/0.86 cnf(c7, plain, % 3.45/0.86 ~is_a_theorem(implies(X1,X0)) | ~is_a_theorem(X1) | ~modus_ponens, % 3.45/0.86 inference(strict_predicate_extension, [assumptions([a0])], [c4, c5])). % 3.45/0.86 % 3.45/0.86 cnf(c8, axiom, % 3.45/0.86 is_a_theorem(X2) | ~is_a_theorem(implies(X3,X2)) | ~is_a_theorem(X3) | ~modus_ponens). % 3.45/0.86 cnf(a1, assumption, % 3.45/0.86 implies(X1,X0) = X2). % 3.45/0.86 cnf(c9, plain, % 3.45/0.86 ~is_a_theorem(X1) | ~modus_ponens, % 3.45/0.86 inference(strict_predicate_extension, [assumptions([a1])], [c7, c8])). % 3.45/0.86 cnf(c10, plain, % 3.45/0.86 ~is_a_theorem(implies(X3,X2)) | ~is_a_theorem(X3) | ~modus_ponens, % 3.45/0.86 inference(strict_predicate_extension, [assumptions([a1])], [c7, c8])). % 3.45/0.86 % 3.45/0.86 cnf(c11, axiom, % 3.45/0.86 is_a_theorem(implies(implies(X4,X5),implies(implies(X6,X5),implies(or(X4,X6),X5)))) | ~or_3). % 3.45/0.86 cnf(a2, assumption, % 3.45/0.86 implies(X3,X2) = implies(implies(X4,X5),implies(implies(X6,X5),implies(or(X4,X6),X5)))). % 3.45/0.86 cnf(c12, plain, % 3.45/0.86 ~is_a_theorem(X3) | ~modus_ponens, % 3.45/0.86 inference(strict_predicate_extension, [assumptions([a2])], [c10, c11])). % 3.45/0.86 cnf(c13, plain, % 3.45/0.86 ~or_3, % 3.45/0.86 inference(strict_predicate_extension, [assumptions([a2])], [c10, c11])). % 3.45/0.86 % 3.45/0.86 cnf(c14, axiom, % 3.45/0.86 or_3). % 3.45/0.86 cnf(c15, plain, % 3.45/0.86 $false, % 3.45/0.86 inference(strict_predicate_extension, [], [c13, c14])). % 3.45/0.86 cnf(c16, plain, % 3.45/0.86 $false, % 3.45/0.86 inference(strict_predicate_extension, [], [c13, c14])). % 3.45/0.86 % 3.45/0.86 cnf(c17, axiom, % 3.45/0.86 is_a_theorem(implies(X7,or(X8,X7))) | ~or_2). % 3.45/0.86 cnf(a3, assumption, % 3.45/0.86 X3 = implies(X7,or(X8,X7))). % 3.45/0.86 cnf(c18, plain, % 3.45/0.86 ~modus_ponens, % 3.45/0.86 inference(strict_predicate_extension, [assumptions([a3])], [c12, c17])). % 3.45/0.86 cnf(c19, plain, % 3.45/0.86 ~or_2, % 3.45/0.86 inference(strict_predicate_extension, [assumptions([a3])], [c12, c17])). % 3.45/0.86 % 3.45/0.86 cnf(c20, axiom, % 3.45/0.86 or_2). % 3.45/0.86 cnf(c21, plain, % 3.45/0.86 $false, % 3.45/0.86 inference(strict_predicate_extension, [], [c19, c20])). % 3.45/0.86 cnf(c22, plain, % 3.45/0.86 $false, % 3.45/0.86 inference(strict_predicate_extension, [], [c19, c20])). % 3.45/0.86 % 3.45/0.86 cnf(c23, axiom, % 3.45/0.86 modus_ponens). % 3.45/0.86 cnf(c24, plain, % 3.45/0.86 $false, % 3.45/0.86 inference(strict_predicate_extension, [], [c18, c23])). % 3.45/0.86 cnf(c25, plain, % 3.45/0.86 $false, % 3.45/0.86 inference(strict_predicate_extension, [], [c18, c23])). % 3.45/0.86 % 3.45/0.86 cnf(c26, axiom, % 3.45/0.86 is_a_theorem(implies(X9,or(X9,X10))) | ~or_1). % 3.45/0.86 cnf(a4, assumption, % 3.45/0.86 X1 = implies(X9,or(X9,X10))). % 3.45/0.86 cnf(c27, plain, % 3.45/0.86 ~modus_ponens, % 3.45/0.86 inference(strict_predicate_extension, [assumptions([a4])], [c9, c26])). % 3.45/0.86 cnf(c28, plain, % 3.45/0.86 ~or_1, % 3.45/0.86 inference(strict_predicate_extension, [assumptions([a4])], [c9, c26])). % 3.45/0.86 % 3.45/0.86 cnf(c29, axiom, % 3.45/0.86 or_1). % 3.45/0.86 cnf(c30, plain, % 3.45/0.86 $false, % 3.45/0.86 inference(strict_predicate_extension, [], [c28, c29])). % 3.45/0.86 cnf(c31, plain, % 3.45/0.86 $false, % 3.45/0.86 inference(strict_predicate_extension, [], [c28, c29])). % 3.45/0.86 % 3.45/0.86 cnf(c32, plain, % 3.45/0.86 modus_ponens). % 3.45/0.86 cnf(c33, plain, % 3.45/0.86 $false, % 3.45/0.86 inference(predicate_reduction, [], [c27, c32])). % 3.45/0.86 % 3.45/0.86 cnf(c34, plain, % 3.45/0.86 $false, % 3.45/0.86 inference(constraint_solving, [ % 3.45/0.86 bind(X0, implies(or(sK47,sK48),or(sK48,sK47))), % 3.45/0.86 bind(X1, implies(X6,X5)), % 3.45/0.86 bind(X2, implies(X1,X0)), % 3.45/0.86 bind(X3, implies(X4,X5)), % 3.45/0.86 bind(X4, sK47), % 3.45/0.86 bind(X5, or(sK48,sK47)), % 3.45/0.86 bind(X6, sK48), % 3.45/0.86 bind(X7, sK47), % 3.45/0.86 bind(X8, sK48), % 3.45/0.86 bind(X9, sK48), % 3.45/0.86 bind(X10, sK47) % 3.45/0.86 ], % 3.45/0.86 [a0, a1, a2, a3, a4])). % 3.45/0.86 % 3.45/0.86 % SZS output end IncompleteProof %------------------------------------------------------------------------------