%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL512+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 : n011.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 12:28:48 PM UTC 2026 % Result : Theorem 0.08s 0.38s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL512+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 % 0.08/0.36 % Computer : n011.cluster.edu % 0.08/0.36 % Model : x86_64 x86_64 % 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.36 % Memory : 8046.5625MB % 0.08/0.36 % OS : Linux 6.8.0-71-generic % 0.08/0.36 % CPULimit : 300 % 0.08/0.36 % WCLimit : 300 % 0.08/0.36 % DateTime : Sat Sep 5 17:13:14 UTC 2026 % 0.08/0.36 % CPUTime : % 0.08/0.38 % SZS status Theorem % 0.08/0.38 % SZS output begin IncompleteProof % 0.08/0.38 cnf(c0, axiom, % 0.08/0.38 ~equivalence_1). % 0.08/0.38 cnf(c1, plain, % 0.08/0.38 ~equivalence_1, % 0.08/0.38 inference(start, [], [c0])). % 0.08/0.38 % 0.08/0.38 cnf(c2, axiom, % 0.08/0.38 equivalence_1 | ~is_a_theorem(implies(equiv(sK26,sK27),implies(sK26,sK27)))). % 0.08/0.38 cnf(c3, plain, % 0.08/0.38 $false, % 0.08/0.38 inference(strict_predicate_extension, [], [c1, c2])). % 0.08/0.38 cnf(c4, plain, % 0.08/0.38 ~is_a_theorem(implies(equiv(sK26,sK27),implies(sK26,sK27))), % 0.08/0.38 inference(strict_predicate_extension, [], [c1, c2])). % 0.08/0.38 % 0.08/0.38 cnf(c5, axiom, % 0.08/0.38 is_a_theorem(implies(and(X0,X1),X0)) | ~kn2). % 0.08/0.38 cnf(a0, assumption, % 0.08/0.38 X2 = implies(equiv(sK26,sK27),implies(sK26,sK27))). % 0.08/0.38 cnf(c6, plain, % 0.08/0.38 $false, % 0.08/0.38 inference(lazy_predicate_extension, [assumptions([a0])], [c4, c5])). % 0.08/0.38 cnf(c7, plain, % 0.08/0.38 ~kn2, % 0.08/0.38 inference(lazy_predicate_extension, [assumptions([a0])], [c4, c5])). % 0.08/0.38 cnf(c8, plain, % 0.08/0.38 implies(and(X0,X1),X0) != X2, % 0.08/0.38 inference(lazy_predicate_extension, [assumptions([a0])], [c4, c5])). % 0.08/0.38 % 0.08/0.38 cnf(c9, axiom, % 0.08/0.38 equiv(X3,X4) = and(implies(X3,X4),implies(X4,X3)) | ~op_equiv). % 0.08/0.38 cnf(a1, assumption, % 0.08/0.38 and(X0,X1) = and(implies(X3,X4),implies(X4,X3))). % 0.08/0.38 cnf(c10, plain, % 0.08/0.38 $false, % 0.08/0.38 inference(strict_function_extension, [assumptions([a1])], [c8, c9])). % 0.08/0.38 cnf(c11, plain, % 0.08/0.38 ~op_equiv, % 0.08/0.38 inference(strict_function_extension, [assumptions([a1])], [c8, c9])). % 0.08/0.38 cnf(c12, plain, % 0.08/0.38 X5 != equiv(X3,X4) | implies(X5,X0) != X2, % 0.08/0.38 inference(strict_function_extension, [assumptions([a1])], [c8, c9])). % 0.08/0.38 % 0.08/0.38 cnf(a2, assumption, % 0.08/0.38 X5 = equiv(X3,X4)). % 0.08/0.38 cnf(c13, plain, % 0.08/0.38 implies(X5,X0) != X2, % 0.08/0.38 inference(reflexivity, [assumptions([a2])], [c12])). % 0.08/0.38 % 0.08/0.38 cnf(a3, assumption, % 0.08/0.38 implies(X5,X0) = X2). % 0.08/0.38 cnf(c14, plain, % 0.08/0.38 $false, % 0.08/0.38 inference(reflexivity, [assumptions([a3])], [c13])). % 0.08/0.38 % 0.08/0.38 cnf(c15, axiom, % 0.08/0.38 op_equiv). % 0.08/0.38 cnf(c16, plain, % 0.08/0.38 $false, % 0.08/0.38 inference(strict_predicate_extension, [], [c11, c15])). % 0.08/0.38 cnf(c17, plain, % 0.08/0.38 $false, % 0.08/0.38 inference(strict_predicate_extension, [], [c11, c15])). % 0.08/0.38 % 0.08/0.38 cnf(c18, axiom, % 0.08/0.38 kn2). % 0.08/0.38 cnf(c19, plain, % 0.08/0.38 $false, % 0.08/0.38 inference(strict_predicate_extension, [], [c7, c18])). % 0.08/0.38 cnf(c20, plain, % 0.08/0.38 $false, % 0.08/0.38 inference(strict_predicate_extension, [], [c7, c18])). % 0.08/0.38 % 0.08/0.38 cnf(c21, plain, % 0.08/0.38 $false, % 0.08/0.38 inference(constraint_solving, [ % 0.08/0.38 bind(X0, implies(X3,X4)), % 0.08/0.38 bind(X1, implies(X4,X3)), % 0.08/0.38 bind(X2, implies(equiv(sK26,sK27),implies(sK26,sK27))), % 0.08/0.38 bind(X3, sK26), % 0.08/0.38 bind(X4, sK27), % 0.08/0.38 bind(X5, equiv(X3,X4)) % 0.08/0.38 ], % 0.08/0.38 [a0, a1, a2, a3])). % 0.08/0.38 % 0.08/0.38 % SZS output end IncompleteProof %------------------------------------------------------------------------------