%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL536+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 12:28:50 PM UTC 2026 % Result : Theorem 0.10s 0.42s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL536+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 % 0.10/0.37 % Computer : n027.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Sat Sep 5 02:52:13 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.42 % SZS status Theorem % 0.10/0.42 % SZS output begin IncompleteProof % 0.10/0.42 cnf(c0, axiom, % 0.10/0.42 ~axiom_m10). % 0.10/0.42 cnf(c1, plain, % 0.10/0.42 ~axiom_m10, % 0.10/0.42 inference(start, [], [c0])). % 0.10/0.42 % 0.10/0.42 cnf(c2, axiom, % 0.10/0.42 axiom_m10 | ~is_a_theorem(strict_implies(possibly(sK93),necessarily(possibly(sK93))))). % 0.10/0.42 cnf(c3, plain, % 0.10/0.42 $false, % 0.10/0.42 inference(strict_predicate_extension, [], [c1, c2])). % 0.10/0.42 cnf(c4, plain, % 0.10/0.42 ~is_a_theorem(strict_implies(possibly(sK93),necessarily(possibly(sK93)))), % 0.10/0.42 inference(strict_predicate_extension, [], [c1, c2])). % 0.10/0.42 % 0.10/0.42 cnf(c5, axiom, % 0.10/0.42 strict_implies(X0,X1) = necessarily(implies(X0,X1)) | ~op_strict_implies). % 0.10/0.42 cnf(a0, assumption, % 0.10/0.42 strict_implies(possibly(sK93),necessarily(possibly(sK93))) = strict_implies(X0,X1)). % 0.10/0.42 cnf(c6, plain, % 0.10/0.42 $false, % 0.10/0.42 inference(strict_function_extension, [assumptions([a0])], [c4, c5])). % 0.10/0.42 cnf(c7, plain, % 0.10/0.42 ~op_strict_implies, % 0.10/0.42 inference(strict_function_extension, [assumptions([a0])], [c4, c5])). % 0.10/0.42 cnf(c8, plain, % 0.10/0.42 X2 != necessarily(implies(X0,X1)) | ~is_a_theorem(X2), % 0.10/0.42 inference(strict_function_extension, [assumptions([a0])], [c4, c5])). % 0.10/0.42 % 0.10/0.42 cnf(a1, assumption, % 0.10/0.42 X2 = necessarily(implies(X0,X1))). % 0.10/0.42 cnf(c9, plain, % 0.10/0.42 ~is_a_theorem(X2), % 0.10/0.42 inference(reflexivity, [assumptions([a1])], [c8])). % 0.10/0.42 % 0.10/0.42 cnf(c10, axiom, % 0.10/0.42 is_a_theorem(necessarily(X3)) | ~is_a_theorem(X3) | ~necessitation). % 0.10/0.42 cnf(a2, assumption, % 0.10/0.42 X2 = necessarily(X3)). % 0.10/0.42 cnf(c11, plain, % 0.10/0.42 $false, % 0.10/0.42 inference(strict_predicate_extension, [assumptions([a2])], [c9, c10])). % 0.10/0.42 cnf(c12, plain, % 0.10/0.42 ~is_a_theorem(X3) | ~necessitation, % 0.10/0.42 inference(strict_predicate_extension, [assumptions([a2])], [c9, c10])). % 0.10/0.42 % 0.10/0.42 cnf(c13, axiom, % 0.10/0.42 is_a_theorem(implies(possibly(X4),necessarily(possibly(X4)))) | ~axiom_5). % 0.10/0.42 cnf(a3, assumption, % 0.10/0.42 X3 = implies(possibly(X4),necessarily(possibly(X4)))). % 0.10/0.42 cnf(c14, plain, % 0.10/0.42 ~necessitation, % 0.10/0.42 inference(strict_predicate_extension, [assumptions([a3])], [c12, c13])). % 0.10/0.42 cnf(c15, plain, % 0.10/0.42 ~axiom_5, % 0.10/0.42 inference(strict_predicate_extension, [assumptions([a3])], [c12, c13])). % 0.10/0.42 % 0.10/0.42 cnf(c16, axiom, % 0.10/0.42 axiom_5). % 0.10/0.42 cnf(c17, plain, % 0.10/0.42 $false, % 0.10/0.42 inference(strict_predicate_extension, [], [c15, c16])). % 0.10/0.42 cnf(c18, plain, % 0.10/0.42 $false, % 0.10/0.42 inference(strict_predicate_extension, [], [c15, c16])). % 0.10/0.42 % 0.10/0.42 cnf(c19, axiom, % 0.10/0.42 necessitation). % 0.10/0.42 cnf(c20, plain, % 0.10/0.42 $false, % 0.10/0.42 inference(strict_predicate_extension, [], [c14, c19])). % 0.10/0.42 cnf(c21, plain, % 0.10/0.42 $false, % 0.10/0.42 inference(strict_predicate_extension, [], [c14, c19])). % 0.10/0.42 % 0.10/0.42 cnf(c22, axiom, % 0.10/0.42 op_strict_implies). % 0.10/0.42 cnf(c23, plain, % 0.10/0.42 $false, % 0.10/0.42 inference(strict_predicate_extension, [], [c7, c22])). % 0.10/0.42 cnf(c24, plain, % 0.10/0.42 $false, % 0.10/0.42 inference(strict_predicate_extension, [], [c7, c22])). % 0.10/0.42 % 0.10/0.42 cnf(c25, plain, % 0.10/0.42 $false, % 0.10/0.42 inference(constraint_solving, [ % 0.10/0.42 bind(X0, possibly(sK93)), % 0.10/0.42 bind(X1, necessarily(possibly(sK93))), % 0.10/0.42 bind(X2, necessarily(implies(X0,X1))), % 0.10/0.42 bind(X3, implies(X0,X1)), % 0.10/0.42 bind(X4, sK93) % 0.10/0.42 ], % 0.10/0.42 [a0, a1, a2, a3])). % 0.10/0.42 % 0.10/0.42 % SZS output end IncompleteProof %------------------------------------------------------------------------------