%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : MGT049+1 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n012.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 : Tue Sep 8 06:13:20 AM UTC 2026 % Result : Theorem 0.04s 0.30s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.01 % Problem : MGT049+1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.02 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.04/0.29 % Computer : n012.cluster.edu % 0.04/0.29 % Model : x86_64 x86_64 % 0.04/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.04/0.29 % Memory : 8046.5625MB % 0.04/0.29 % OS : Linux 6.8.0-71-generic % 0.04/0.29 % CPULimit : 300 % 0.04/0.29 % WCLimit : 300 % 0.04/0.29 % DateTime : Mon Sep 7 13:15:41 UTC 2026 % 0.04/0.29 % CPUTime : % 0.04/0.30 % SZS status Theorem % 0.04/0.30 % SZS output begin IncompleteProof % 0.04/0.30 cnf(c0, axiom, % 0.04/0.30 organization(sK0)). % 0.04/0.30 cnf(c1, plain, % 0.04/0.30 organization(sK0), % 0.04/0.30 inference(start, [], [c0])). % 0.04/0.30 % 0.04/0.30 cnf(c2, axiom, % 0.04/0.30 external_ties(X0,X1) = external_ties(X0,X2) | ~organization(X0)). % 0.04/0.30 cnf(a0, assumption, % 0.04/0.30 sK0 = X0). % 0.04/0.30 cnf(c3, plain, % 0.04/0.30 $false, % 0.04/0.30 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.04/0.30 cnf(c4, plain, % 0.04/0.30 external_ties(X0,X1) = external_ties(X0,X2), % 0.04/0.30 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.04/0.30 % 0.04/0.30 cnf(c5, axiom, % 0.04/0.30 position(X3,X4) = position(X3,X5) | external_ties(X3,X4) != external_ties(X3,X5) | ~organization(X3)). % 0.04/0.30 cnf(a1, assumption, % 0.04/0.30 external_ties(X3,X4) = external_ties(X0,X1)). % 0.04/0.30 cnf(a2, assumption, % 0.04/0.30 external_ties(X0,X2) = X6). % 0.04/0.30 cnf(c6, plain, % 0.04/0.30 $false, % 0.04/0.30 inference(strict_subterm_extension, [assumptions([a1, a2])], [c4, c5])). % 0.04/0.30 cnf(c7, plain, % 0.04/0.30 position(X3,X4) = position(X3,X5) | ~organization(X3), % 0.04/0.30 inference(strict_subterm_extension, [assumptions([a1, a2])], [c4, c5])). % 0.04/0.30 cnf(c8, plain, % 0.04/0.30 X6 != external_ties(X3,X5), % 0.04/0.30 inference(strict_subterm_extension, [assumptions([a1, a2])], [c4, c5])). % 0.04/0.30 % 0.04/0.30 cnf(a3, assumption, % 0.04/0.30 X6 = external_ties(X3,X5)). % 0.04/0.30 cnf(c9, plain, % 0.04/0.30 $false, % 0.04/0.30 inference(reflexivity, [assumptions([a3])], [c8])). % 0.04/0.30 % 0.04/0.30 cnf(c10, axiom, % 0.04/0.30 position(sK0,sK2) != position(sK0,sK1)). % 0.04/0.30 cnf(a4, assumption, % 0.04/0.30 position(sK0,sK1) = position(X3,X4)). % 0.04/0.30 cnf(a5, assumption, % 0.04/0.30 position(X3,X5) = X7). % 0.04/0.30 cnf(c11, plain, % 0.04/0.30 ~organization(X3), % 0.04/0.30 inference(strict_subterm_extension, [assumptions([a4, a5])], [c7, c10])). % 0.04/0.30 cnf(c12, plain, % 0.04/0.30 $false, % 0.04/0.30 inference(strict_subterm_extension, [assumptions([a4, a5])], [c7, c10])). % 0.04/0.30 cnf(c13, plain, % 0.04/0.30 position(sK0,sK2) != X7, % 0.04/0.30 inference(strict_subterm_extension, [assumptions([a4, a5])], [c7, c10])). % 0.04/0.30 % 0.04/0.30 cnf(a6, assumption, % 0.04/0.30 position(sK0,sK2) = X7). % 0.04/0.30 cnf(c14, plain, % 0.04/0.30 $false, % 0.04/0.30 inference(reflexivity, [assumptions([a6])], [c13])). % 0.04/0.30 % 0.04/0.30 cnf(c15, plain, % 0.04/0.30 organization(sK0)). % 0.04/0.30 cnf(a7, assumption, % 0.04/0.30 X3 = sK0). % 0.04/0.30 cnf(c16, plain, % 0.04/0.30 $false, % 0.04/0.30 inference(predicate_reduction, [assumptions([a7])], [c11, c15])). % 0.04/0.30 % 0.04/0.30 cnf(c17, plain, % 0.04/0.30 $false, % 0.04/0.30 inference(constraint_solving, [ % 0.04/0.30 bind(X0, sK0), % 0.04/0.30 bind(X1, sK1), % 0.04/0.30 bind(X2, sK2), % 0.04/0.30 bind(X3, sK0), % 0.04/0.30 bind(X4, sK1), % 0.04/0.30 bind(X5, sK2), % 0.04/0.30 bind(X6, external_ties(X0,X2)), % 0.04/0.30 bind(X7, position(X3,X5)) % 0.04/0.30 ], % 0.04/0.30 [a0, a1, a2, a3, a4, a5, a6, a7])). % 0.04/0.30 % 0.04/0.30 % SZS output end IncompleteProof %------------------------------------------------------------------------------