%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SEU323+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n028.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Tue Jul 19 11:55:04 EDT 2022 % Result : Theorem 9.20s 1.51s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : SEU323+1 : TPTP v8.1.0. Released v3.3.0. % 0.08/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.34 % Computer : n028.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Mon Jun 20 12:30:01 EDT 2022 % 0.13/0.35 % CPUTime : % 9.20/1.51 % SZS status Theorem % 9.20/1.51 % SZS output begin IncompleteProof % 9.20/1.51 cnf(c0, axiom, % 9.20/1.51 top_str(sK5)). % 9.20/1.51 cnf(c1, plain, % 9.20/1.51 top_str(sK5), % 9.20/1.51 inference(start, [], [c0])). % 9.20/1.51 % 9.20/1.51 cnf(c2, axiom, % 9.20/1.51 interior(X0,X1) = subset_complement(the_carrier(X0),topstr_closure(X0,subset_complement(the_carrier(X0),X1))) | ~element(X1,powerset(the_carrier(X0))) | ~top_str(X0)). % 9.20/1.51 cnf(a0, assumption, % 9.20/1.51 sK5 = X0). % 9.20/1.51 cnf(c3, plain, % 9.20/1.51 $false, % 9.20/1.51 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 9.20/1.51 cnf(c4, plain, % 9.20/1.51 interior(X0,X1) = subset_complement(the_carrier(X0),topstr_closure(X0,subset_complement(the_carrier(X0),X1))) | ~element(X1,powerset(the_carrier(X0))), % 9.20/1.51 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 9.20/1.51 % 9.20/1.51 cnf(c5, axiom, % 9.20/1.51 ~open_subset(interior(sK5,sK6),sK5)). % 9.20/1.51 cnf(a1, assumption, % 9.20/1.51 interior(sK5,sK6) = interior(X0,X1)). % 9.20/1.51 cnf(a2, assumption, % 9.20/1.51 subset_complement(the_carrier(X0),topstr_closure(X0,subset_complement(the_carrier(X0),X1))) = X2). % 9.20/1.51 cnf(c6, plain, % 9.20/1.51 ~element(X1,powerset(the_carrier(X0))), % 9.20/1.51 inference(strict_subterm_extension, [assumptions([a1, a2])], [c4, c5])). % 9.20/1.51 cnf(c7, plain, % 9.20/1.51 $false, % 9.20/1.51 inference(strict_subterm_extension, [assumptions([a1, a2])], [c4, c5])). % 9.20/1.51 cnf(c8, plain, % 9.20/1.51 ~open_subset(X2,sK5), % 9.20/1.51 inference(strict_subterm_extension, [assumptions([a1, a2])], [c4, c5])). % 9.20/1.51 % 9.20/1.51 cnf(c9, axiom, % 9.20/1.51 open_subset(subset_complement(the_carrier(X3),X4),X3) | ~element(X4,powerset(the_carrier(X3))) | ~closed_subset(X4,X3) | ~top_str(X3) | ~topological_space(X3)). % 9.20/1.51 cnf(a3, assumption, % 9.20/1.51 X2 = subset_complement(the_carrier(X3),X4)). % 9.20/1.51 cnf(a4, assumption, % 9.20/1.51 sK5 = X3). % 9.20/1.51 cnf(c10, plain, % 9.20/1.51 $false, % 9.20/1.51 inference(strict_predicate_extension, [assumptions([a3, a4])], [c8, c9])). % 9.20/1.51 cnf(c11, plain, % 9.20/1.51 ~element(X4,powerset(the_carrier(X3))) | ~closed_subset(X4,X3) | ~top_str(X3) | ~topological_space(X3), % 9.20/1.51 inference(strict_predicate_extension, [assumptions([a3, a4])], [c8, c9])). % 9.20/1.51 % 9.20/1.51 cnf(c12, axiom, % 9.20/1.51 element(topstr_closure(X5,X6),powerset(the_carrier(X5))) | ~element(X6,powerset(the_carrier(X5))) | ~top_str(X5)). % 9.20/1.51 cnf(a5, assumption, % 9.20/1.51 X4 = topstr_closure(X5,X6)). % 9.20/1.51 cnf(a6, assumption, % 9.20/1.51 powerset(the_carrier(X3)) = powerset(the_carrier(X5))). % 9.20/1.51 cnf(c13, plain, % 9.20/1.51 ~closed_subset(X4,X3) | ~top_str(X3) | ~topological_space(X3), % 9.20/1.51 inference(strict_predicate_extension, [assumptions([a5, a6])], [c11, c12])). % 9.20/1.51 cnf(c14, plain, % 9.20/1.51 ~element(X6,powerset(the_carrier(X5))) | ~top_str(X5), % 9.20/1.51 inference(strict_predicate_extension, [assumptions([a5, a6])], [c11, c12])). % 9.20/1.51 % 9.20/1.51 cnf(c15, axiom, % 9.20/1.51 element(subset_complement(X7,X8),powerset(X7)) | ~element(X8,powerset(X7))). % 9.20/1.51 cnf(a7, assumption, % 9.20/1.51 X6 = subset_complement(X7,X8)). % 9.20/1.51 cnf(a8, assumption, % 9.20/1.51 powerset(the_carrier(X5)) = powerset(X7)). % 9.20/1.51 cnf(c16, plain, % 9.20/1.51 ~top_str(X5), % 9.20/1.51 inference(strict_predicate_extension, [assumptions([a7, a8])], [c14, c15])). % 9.20/1.51 cnf(c17, plain, % 9.20/1.51 ~element(X8,powerset(X7)), % 9.20/1.51 inference(strict_predicate_extension, [assumptions([a7, a8])], [c14, c15])). % 9.20/1.51 % 9.20/1.51 cnf(c18, axiom, % 9.20/1.51 element(sK6,powerset(the_carrier(sK5)))). % 9.20/1.51 cnf(a9, assumption, % 9.20/1.51 X8 = sK6). % 9.20/1.51 cnf(a10, assumption, % 9.20/1.51 powerset(X7) = powerset(the_carrier(sK5))). % 9.20/1.51 cnf(c19, plain, % 9.20/1.51 $false, % 9.20/1.51 inference(strict_predicate_extension, [assumptions([a9, a10])], [c17, c18])). % 9.20/1.51 cnf(c20, plain, % 9.20/1.51 $false, % 9.20/1.51 inference(strict_predicate_extension, [assumptions([a9, a10])], [c17, c18])). % 9.20/1.51 % 9.20/1.51 cnf(c21, plain, % 9.20/1.51 top_str(sK5)). % 9.20/1.51 cnf(a11, assumption, % 9.20/1.51 X5 = sK5). % 9.20/1.51 cnf(c22, plain, % 9.20/1.51 $false, % 9.20/1.51 inference(predicate_reduction, [assumptions([a11])], [c16, c21])). % 9.20/1.51 % 9.20/1.51 cnf(c23, axiom, % 9.20/1.51 closed_subset(topstr_closure(X9,X10),X9) | ~element(X10,powerset(the_carrier(X9))) | ~top_str(X9) | ~topological_space(X9)). % 9.20/1.51 cnf(a12, assumption, % 9.20/1.51 X4 = topstr_closure(X9,X10)). % 9.20/1.51 cnf(a13, assumption, % 9.20/1.51 X3 = X9). % 9.20/1.51 cnf(c24, plain, % 9.20/1.51 ~top_str(X3) | ~topological_space(X3), % 9.20/1.51 inference(strict_predicate_extension, [assumptions([a12, a13])], [c13, c23])). % 9.20/1.51 cnf(c25, plain, % 9.20/1.51 ~element(X10,powerset(the_carrier(X9))) | ~top_str(X9) | ~topological_space(X9), % 9.20/1.51 inference(strict_predicate_extension, [assumptions([a12, a13])], [c13, c23])). % 9.20/1.51 % 9.20/1.51 cnf(c26, plain, % 9.20/1.51 element(X6,powerset(the_carrier(X5)))). % 9.20/1.51 cnf(a14, assumption, % 9.20/1.51 X10 = X6). % 9.20/1.51 cnf(a15, assumption, % 9.20/1.51 powerset(the_carrier(X9)) = powerset(the_carrier(X5))). % 9.20/1.51 cnf(c27, plain, % 9.20/1.51 ~top_str(X9) | ~topological_space(X9), % 9.20/1.51 inference(predicate_reduction, [assumptions([a14, a15])], [c25, c26])). % 9.20/1.51 % 9.20/1.51 cnf(c28, plain, % 9.20/1.51 top_str(sK5)). % 9.20/1.51 cnf(a16, assumption, % 9.20/1.51 X9 = sK5). % 9.20/1.51 cnf(c29, plain, % 9.20/1.51 ~topological_space(X9), % 9.20/1.51 inference(predicate_reduction, [assumptions([a16])], [c27, c28])). % 9.20/1.51 % 9.20/1.51 cnf(c30, axiom, % 9.20/1.51 topological_space(sK5)). % 9.20/1.51 cnf(a17, assumption, % 9.20/1.51 X9 = sK5). % 9.20/1.51 cnf(c31, plain, % 9.20/1.51 $false, % 9.20/1.51 inference(strict_predicate_extension, [assumptions([a17])], [c29, c30])). % 9.20/1.51 cnf(c32, plain, % 9.20/1.51 $false, % 9.20/1.51 inference(strict_predicate_extension, [assumptions([a17])], [c29, c30])). % 9.20/1.51 % 9.20/1.51 cnf(c33, plain, % 9.20/1.51 top_str(sK5)). % 9.20/1.51 cnf(a18, assumption, % 9.20/1.51 X3 = sK5). % 9.20/1.51 cnf(c34, plain, % 9.20/1.51 ~topological_space(X3), % 9.20/1.51 inference(predicate_reduction, [assumptions([a18])], [c24, c33])). % 9.20/1.51 % 9.20/1.51 cnf(c35, plain, % 9.20/1.51 topological_space(X9)). % 9.20/1.51 cnf(a19, assumption, % 9.20/1.51 X3 = X9). % 9.20/1.51 cnf(c36, plain, % 9.20/1.51 $false, % 9.20/1.51 inference(predicate_reduction, [assumptions([a19])], [c34, c35])). % 9.20/1.51 % 9.20/1.51 cnf(c37, plain, % 9.20/1.51 element(X8,powerset(X7))). % 9.20/1.51 cnf(a20, assumption, % 9.20/1.51 X1 = X8). % 9.20/1.51 cnf(a21, assumption, % 9.20/1.51 powerset(the_carrier(X0)) = powerset(X7)). % 9.20/1.51 cnf(c38, plain, % 9.20/1.51 $false, % 9.20/1.51 inference(predicate_reduction, [assumptions([a20, a21])], [c6, c37])). % 9.20/1.51 % 9.20/1.51 cnf(c39, plain, % 9.20/1.51 $false, % 9.20/1.51 inference(constraint_solving, [ % 9.20/1.51 bind(X0, sK5), % 9.20/1.51 bind(X1, sK6), % 9.20/1.51 bind(X2, subset_complement(the_carrier(X0),topstr_closure(X0,subset_complement(the_carrier(X0),X1)))), % 9.20/1.51 bind(X3, sK5), % 9.20/1.51 bind(X4, topstr_closure(X0,subset_complement(the_carrier(X0),X1))), % 9.20/1.51 bind(X5, sK5), % 9.20/1.51 bind(X6, subset_complement(the_carrier(X0),X1)), % 9.20/1.51 bind(X7, the_carrier(X0)), % 9.20/1.51 bind(X8, sK6), % 9.20/1.51 bind(X9, sK5), % 9.20/1.51 bind(X10, subset_complement(the_carrier(X0),X1)) % 9.20/1.51 ], % 9.20/1.51 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21])). % 9.20/1.51 % 9.20/1.51 % SZS output end IncompleteProof %------------------------------------------------------------------------------