%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SEU341+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 : n008.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 11:55:12 EDT 2022 % Result : Theorem 92.83s 13.74s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SEU341+1 : TPTP v8.1.0. Released v3.3.0. % 0.11/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n008.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Sun Jun 19 10:44:52 EDT 2022 % 0.12/0.34 % CPUTime : % 92.83/13.74 % SZS status Theorem % 92.83/13.74 % SZS output begin IncompleteProof % 92.83/13.74 cnf(c0, axiom, % 92.83/13.74 topological_space(sK14)). % 92.83/13.74 cnf(c1, plain, % 92.83/13.74 topological_space(sK14), % 92.83/13.74 inference(start, [], [c0])). % 92.83/13.74 % 92.83/13.74 cnf(c2, axiom, % 92.83/13.74 interior(X0,X1) = X1 | ~open_subset(X1,X0) | ~element(X1,powerset(the_carrier(X0))) | ~element(X2,powerset(the_carrier(X3))) | ~top_str(X0) | ~top_str(X3) | ~topological_space(X3)). % 92.83/13.74 cnf(a0, assumption, % 92.83/13.74 sK14 = X3). % 92.83/13.74 cnf(c3, plain, % 92.83/13.74 $false, % 92.83/13.74 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 92.83/13.74 cnf(c4, plain, % 92.83/13.74 interior(X0,X1) = X1 | ~open_subset(X1,X0) | ~element(X1,powerset(the_carrier(X0))) | ~element(X2,powerset(the_carrier(X3))) | ~top_str(X0) | ~top_str(X3), % 92.83/13.74 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 92.83/13.74 % 92.83/13.74 cnf(c5, axiom, % 92.83/13.74 point_neighbourhood(X4,X5,X6) | ~in(X6,interior(X5,X4)) | ~element(X4,powerset(the_carrier(X5))) | ~element(X6,the_carrier(X5)) | ~top_str(X5) | ~topological_space(X5) | empty_carrier(X5)). % 92.83/13.74 cnf(a1, assumption, % 92.83/13.74 interior(X5,X4) = interior(X0,X1)). % 92.83/13.74 cnf(c6, plain, % 92.83/13.74 ~open_subset(X1,X0) | ~element(X1,powerset(the_carrier(X0))) | ~element(X2,powerset(the_carrier(X3))) | ~top_str(X0) | ~top_str(X3), % 92.83/13.74 inference(strict_subterm_extension, [assumptions([a1])], [c4, c5])). % 92.83/13.74 cnf(c7, plain, % 92.83/13.74 point_neighbourhood(X4,X5,X6) | ~element(X4,powerset(the_carrier(X5))) | ~element(X6,the_carrier(X5)) | ~top_str(X5) | ~topological_space(X5) | empty_carrier(X5), % 92.83/13.74 inference(strict_subterm_extension, [assumptions([a1])], [c4, c5])). % 92.83/13.74 cnf(c8, plain, % 92.83/13.74 ~in(X6,X1), % 92.83/13.74 inference(strict_subterm_extension, [assumptions([a1])], [c4, c5])). % 92.83/13.74 % 92.83/13.74 cnf(c9, axiom, % 92.83/13.74 in(sK16,sK15)). % 92.83/13.74 cnf(a2, assumption, % 92.83/13.74 X6 = sK16). % 92.83/13.74 cnf(a3, assumption, % 92.83/13.74 X1 = sK15). % 92.83/13.74 cnf(c10, plain, % 92.83/13.74 $false, % 92.83/13.74 inference(strict_predicate_extension, [assumptions([a2, a3])], [c8, c9])). % 92.83/13.74 cnf(c11, plain, % 92.83/13.74 $false, % 92.83/13.74 inference(strict_predicate_extension, [assumptions([a2, a3])], [c8, c9])). % 92.83/13.74 % 92.83/13.74 cnf(c12, axiom, % 92.83/13.74 ~point_neighbourhood(sK15,sK14,sK16)). % 92.83/13.74 cnf(a4, assumption, % 92.83/13.74 X4 = sK15). % 92.83/13.74 cnf(a5, assumption, % 92.83/13.74 X5 = sK14). % 92.83/13.74 cnf(a6, assumption, % 92.83/13.74 X6 = sK16). % 92.83/13.74 cnf(c13, plain, % 92.83/13.74 ~element(X4,powerset(the_carrier(X5))) | ~element(X6,the_carrier(X5)) | ~top_str(X5) | ~topological_space(X5) | empty_carrier(X5), % 92.83/13.74 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c7, c12])). % 92.83/13.74 cnf(c14, plain, % 92.83/13.74 $false, % 92.83/13.74 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c7, c12])). % 92.83/13.74 % 92.83/13.74 cnf(c15, axiom, % 92.83/13.74 element(sK15,powerset(the_carrier(sK14)))). % 92.83/13.74 cnf(a7, assumption, % 92.83/13.74 X4 = sK15). % 92.83/13.74 cnf(a8, assumption, % 92.83/13.74 powerset(the_carrier(X5)) = powerset(the_carrier(sK14))). % 92.83/13.74 cnf(c16, plain, % 92.83/13.74 ~element(X6,the_carrier(X5)) | ~top_str(X5) | ~topological_space(X5) | empty_carrier(X5), % 92.83/13.74 inference(strict_predicate_extension, [assumptions([a7, a8])], [c13, c15])). % 92.83/13.74 cnf(c17, plain, % 92.83/13.74 $false, % 92.83/13.74 inference(strict_predicate_extension, [assumptions([a7, a8])], [c13, c15])). % 92.83/13.74 % 92.83/13.74 cnf(c18, axiom, % 92.83/13.74 element(sK16,the_carrier(sK14))). % 92.83/13.74 cnf(a9, assumption, % 92.83/13.74 X6 = sK16). % 92.83/13.74 cnf(a10, assumption, % 92.83/13.74 the_carrier(X5) = the_carrier(sK14)). % 92.83/13.74 cnf(c19, plain, % 92.83/13.74 ~top_str(X5) | ~topological_space(X5) | empty_carrier(X5), % 92.83/13.74 inference(strict_predicate_extension, [assumptions([a9, a10])], [c16, c18])). % 92.83/13.74 cnf(c20, plain, % 92.83/13.74 $false, % 92.83/13.74 inference(strict_predicate_extension, [assumptions([a9, a10])], [c16, c18])). % 92.83/13.74 % 92.83/13.74 cnf(c21, axiom, % 92.83/13.74 top_str(sK14)). % 92.83/13.74 cnf(a11, assumption, % 92.83/13.74 X5 = sK14). % 92.83/13.74 cnf(c22, plain, % 92.83/13.74 ~topological_space(X5) | empty_carrier(X5), % 92.83/13.74 inference(strict_predicate_extension, [assumptions([a11])], [c19, c21])). % 92.83/13.74 cnf(c23, plain, % 92.83/13.74 $false, % 92.83/13.74 inference(strict_predicate_extension, [assumptions([a11])], [c19, c21])). % 92.83/13.74 % 92.83/13.74 cnf(c24, plain, % 92.83/13.74 topological_space(sK14)). % 92.83/13.74 cnf(a12, assumption, % 92.83/13.74 X5 = sK14). % 92.83/13.74 cnf(c25, plain, % 92.83/13.74 empty_carrier(X5), % 92.83/13.74 inference(predicate_reduction, [assumptions([a12])], [c22, c24])). % 92.83/13.74 % 92.83/13.74 cnf(c26, axiom, % 92.83/13.74 ~empty_carrier(sK14)). % 92.83/13.74 cnf(a13, assumption, % 92.83/13.74 X5 = sK14). % 92.83/13.74 cnf(c27, plain, % 92.83/13.74 $false, % 92.83/13.74 inference(strict_predicate_extension, [assumptions([a13])], [c25, c26])). % 92.83/13.74 cnf(c28, plain, % 92.83/13.74 $false, % 92.83/13.74 inference(strict_predicate_extension, [assumptions([a13])], [c25, c26])). % 92.83/13.74 % 92.83/13.74 cnf(c29, axiom, % 92.83/13.74 open_subset(sK15,sK14)). % 92.83/13.74 cnf(a14, assumption, % 92.83/13.74 X1 = sK15). % 92.83/13.74 cnf(a15, assumption, % 92.83/13.74 X0 = sK14). % 92.83/13.74 cnf(c30, plain, % 92.83/13.74 ~element(X1,powerset(the_carrier(X0))) | ~element(X2,powerset(the_carrier(X3))) | ~top_str(X0) | ~top_str(X3), % 92.83/13.74 inference(strict_predicate_extension, [assumptions([a14, a15])], [c6, c29])). % 92.83/13.74 cnf(c31, plain, % 92.83/13.74 $false, % 92.83/13.74 inference(strict_predicate_extension, [assumptions([a14, a15])], [c6, c29])). % 92.83/13.74 % 92.83/13.74 cnf(c32, plain, % 92.83/13.74 element(X4,powerset(the_carrier(X5)))). % 92.83/13.74 cnf(a16, assumption, % 92.83/13.74 X1 = X4). % 92.83/13.74 cnf(a17, assumption, % 92.83/13.74 powerset(the_carrier(X0)) = powerset(the_carrier(X5))). % 92.83/13.74 cnf(c33, plain, % 92.83/13.74 ~element(X2,powerset(the_carrier(X3))) | ~top_str(X0) | ~top_str(X3), % 92.83/13.74 inference(predicate_reduction, [assumptions([a16, a17])], [c30, c32])). % 92.83/13.74 % 92.83/13.74 cnf(c34, plain, % 92.83/13.74 element(X4,powerset(the_carrier(X5)))). % 92.83/13.74 cnf(a18, assumption, % 92.83/13.74 X2 = X4). % 92.83/13.74 cnf(a19, assumption, % 92.83/13.74 powerset(the_carrier(X3)) = powerset(the_carrier(X5))). % 92.83/13.74 cnf(c35, plain, % 92.83/13.74 ~top_str(X0) | ~top_str(X3), % 92.83/13.74 inference(predicate_reduction, [assumptions([a18, a19])], [c33, c34])). % 92.83/13.74 % 92.83/13.74 cnf(c36, plain, % 92.83/13.74 top_str(X5)). % 92.83/13.74 cnf(a20, assumption, % 92.83/13.74 X0 = X5). % 92.83/13.74 cnf(c37, plain, % 92.83/13.74 ~top_str(X3), % 92.83/13.74 inference(predicate_reduction, [assumptions([a20])], [c35, c36])). % 92.83/13.74 % 92.83/13.74 cnf(c38, plain, % 92.83/13.74 top_str(X5)). % 92.83/13.74 cnf(a21, assumption, % 92.83/13.74 X3 = X5). % 92.83/13.74 cnf(c39, plain, % 92.83/13.74 $false, % 92.83/13.74 inference(predicate_reduction, [assumptions([a21])], [c37, c38])). % 92.83/13.74 % 92.83/13.74 cnf(c40, plain, % 92.83/13.74 $false, % 92.83/13.74 inference(constraint_solving, [ % 92.83/13.74 bind(X0, sK14), % 92.83/13.74 bind(X1, sK15), % 92.83/13.74 bind(X2, sK15), % 92.83/13.74 bind(X3, sK14), % 92.83/13.74 bind(X4, sK15), % 92.83/13.74 bind(X5, sK14), % 92.83/13.74 bind(X6, sK16) % 92.83/13.74 ], % 92.83/13.74 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21])). % 92.83/13.74 % 92.83/13.74 % SZS output end IncompleteProof %------------------------------------------------------------------------------