%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : NUM409+1 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n014.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 : Mon Jul 18 11:32:40 EDT 2022 % Result : Theorem 9.61s 1.63s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NUM409+1 : TPTP v8.1.0. Released v3.2.0. % 0.07/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n014.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 : Thu Jul 7 23:30:36 EDT 2022 % 0.12/0.33 % CPUTime : % 9.61/1.63 % SZS status Theorem % 9.61/1.63 % SZS output begin IncompleteProof % 9.61/1.63 cnf(c0, axiom, % 9.61/1.63 ~transfinite_sequence_of(empty_set,sK24)). % 9.61/1.63 cnf(c1, plain, % 9.61/1.63 ~transfinite_sequence_of(empty_set,sK24), % 9.61/1.63 inference(start, [], [c0])). % 9.61/1.63 % 9.61/1.63 cnf(c2, axiom, % 9.61/1.63 transfinite_sequence_of(X0,X1) | ~subset(relation_rng(X0),X1) | ~transfinite_sequence(X0) | ~function(X0) | ~relation(X0)). % 9.61/1.63 cnf(a0, assumption, % 9.61/1.63 empty_set = X0). % 9.61/1.63 cnf(a1, assumption, % 9.61/1.63 sK24 = X1). % 9.61/1.63 cnf(c3, plain, % 9.61/1.63 $false, % 9.61/1.63 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 9.61/1.63 cnf(c4, plain, % 9.61/1.63 ~subset(relation_rng(X0),X1) | ~transfinite_sequence(X0) | ~function(X0) | ~relation(X0), % 9.61/1.63 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 9.61/1.63 % 9.61/1.63 cnf(c5, axiom, % 9.61/1.63 empty_set = X2 | ~empty(X2)). % 9.61/1.63 cnf(a2, assumption, % 9.61/1.63 relation_rng(X0) = X2). % 9.61/1.63 cnf(c6, plain, % 9.61/1.63 ~transfinite_sequence(X0) | ~function(X0) | ~relation(X0), % 9.61/1.63 inference(variable_extension, [assumptions([a2])], [c4, c5])). % 9.61/1.63 cnf(c7, plain, % 9.61/1.63 ~empty(X2), % 9.61/1.63 inference(variable_extension, [assumptions([a2])], [c4, c5])). % 9.61/1.63 cnf(c8, plain, % 9.61/1.63 empty_set != X3 | ~subset(X3,X1), % 9.61/1.63 inference(variable_extension, [assumptions([a2])], [c4, c5])). % 9.61/1.63 % 9.61/1.63 cnf(a3, assumption, % 9.61/1.63 empty_set = X3). % 9.61/1.63 cnf(c9, plain, % 9.61/1.63 ~subset(X3,X1), % 9.61/1.63 inference(reflexivity, [assumptions([a3])], [c8])). % 9.61/1.63 % 9.61/1.63 cnf(c10, axiom, % 9.61/1.63 subset(empty_set,X4)). % 9.61/1.63 cnf(a4, assumption, % 9.61/1.63 X3 = empty_set). % 9.61/1.63 cnf(a5, assumption, % 9.61/1.63 X1 = X4). % 9.61/1.63 cnf(c11, plain, % 9.61/1.63 $false, % 9.61/1.63 inference(strict_predicate_extension, [assumptions([a4, a5])], [c9, c10])). % 9.61/1.63 cnf(c12, plain, % 9.61/1.63 $false, % 9.61/1.63 inference(strict_predicate_extension, [assumptions([a4, a5])], [c9, c10])). % 9.61/1.63 % 9.61/1.63 cnf(c13, axiom, % 9.61/1.63 empty(relation_rng(X5)) | ~empty(X5)). % 9.61/1.63 cnf(a6, assumption, % 9.61/1.63 X2 = relation_rng(X5)). % 9.61/1.63 cnf(c14, plain, % 9.61/1.63 $false, % 9.61/1.63 inference(strict_predicate_extension, [assumptions([a6])], [c7, c13])). % 9.61/1.63 cnf(c15, plain, % 9.61/1.63 ~empty(X5), % 9.61/1.63 inference(strict_predicate_extension, [assumptions([a6])], [c7, c13])). % 9.61/1.63 % 9.61/1.63 cnf(c16, axiom, % 9.61/1.63 empty(empty_set)). % 9.61/1.63 cnf(a7, assumption, % 9.61/1.63 X5 = empty_set). % 9.61/1.63 cnf(c17, plain, % 9.61/1.63 $false, % 9.61/1.63 inference(strict_predicate_extension, [assumptions([a7])], [c15, c16])). % 9.61/1.63 cnf(c18, plain, % 9.61/1.63 $false, % 9.61/1.63 inference(strict_predicate_extension, [assumptions([a7])], [c15, c16])). % 9.61/1.63 % 9.61/1.63 cnf(c19, axiom, % 9.61/1.63 transfinite_sequence(X6) | ~ordinal(relation_dom(X6)) | ~function(X6) | ~relation(X6)). % 9.61/1.63 cnf(a8, assumption, % 9.61/1.63 X0 = X6). % 9.61/1.63 cnf(c20, plain, % 9.61/1.63 ~function(X0) | ~relation(X0), % 9.61/1.63 inference(strict_predicate_extension, [assumptions([a8])], [c6, c19])). % 9.61/1.63 cnf(c21, plain, % 9.61/1.63 ~ordinal(relation_dom(X6)) | ~function(X6) | ~relation(X6), % 9.61/1.63 inference(strict_predicate_extension, [assumptions([a8])], [c6, c19])). % 9.61/1.63 % 9.61/1.63 cnf(c22, axiom, % 9.61/1.63 ordinal(X7) | ~sP1(X7)). % 9.61/1.63 cnf(a9, assumption, % 9.61/1.63 relation_dom(X6) = X7). % 9.61/1.63 cnf(c23, plain, % 9.61/1.63 ~function(X6) | ~relation(X6), % 9.61/1.63 inference(strict_predicate_extension, [assumptions([a9])], [c21, c22])). % 9.61/1.63 cnf(c24, plain, % 9.61/1.63 ~sP1(X7), % 9.61/1.63 inference(strict_predicate_extension, [assumptions([a9])], [c21, c22])). % 9.61/1.63 % 9.61/1.63 cnf(c25, axiom, % 9.61/1.63 sP1(X8) | ~empty(X8)). % 9.61/1.63 cnf(a10, assumption, % 9.61/1.63 X7 = X8). % 9.61/1.63 cnf(c26, plain, % 9.61/1.63 $false, % 9.61/1.63 inference(strict_predicate_extension, [assumptions([a10])], [c24, c25])). % 9.61/1.63 cnf(c27, plain, % 9.61/1.63 ~empty(X8), % 9.61/1.63 inference(strict_predicate_extension, [assumptions([a10])], [c24, c25])). % 9.61/1.63 % 9.61/1.63 cnf(c28, axiom, % 9.61/1.63 empty(relation_dom(X9)) | ~empty(X9)). % 9.61/1.63 cnf(a11, assumption, % 9.61/1.63 X8 = relation_dom(X9)). % 9.61/1.63 cnf(c29, plain, % 9.61/1.63 $false, % 9.61/1.63 inference(strict_predicate_extension, [assumptions([a11])], [c27, c28])). % 9.61/1.63 cnf(c30, plain, % 9.61/1.63 ~empty(X9), % 9.61/1.63 inference(strict_predicate_extension, [assumptions([a11])], [c27, c28])). % 9.61/1.63 % 9.61/1.63 cnf(c31, plain, % 9.61/1.63 empty(X5)). % 9.61/1.63 cnf(a12, assumption, % 9.61/1.63 X9 = X5). % 9.61/1.63 cnf(c32, plain, % 9.61/1.63 $false, % 9.61/1.63 inference(predicate_reduction, [assumptions([a12])], [c30, c31])). % 9.61/1.63 % 9.61/1.63 cnf(c33, axiom, % 9.61/1.63 function(empty_set)). % 9.61/1.63 cnf(a13, assumption, % 9.61/1.63 X6 = empty_set). % 9.61/1.63 cnf(c34, plain, % 9.61/1.63 ~relation(X6), % 9.61/1.63 inference(strict_predicate_extension, [assumptions([a13])], [c23, c33])). % 9.61/1.63 cnf(c35, plain, % 9.61/1.63 $false, % 9.61/1.63 inference(strict_predicate_extension, [assumptions([a13])], [c23, c33])). % 9.61/1.63 % 9.61/1.63 cnf(c36, axiom, % 9.61/1.63 relation(empty_set)). % 9.61/1.63 cnf(a14, assumption, % 9.61/1.63 X6 = empty_set). % 9.61/1.63 cnf(c37, plain, % 9.61/1.63 $false, % 9.61/1.63 inference(strict_predicate_extension, [assumptions([a14])], [c34, c36])). % 9.61/1.63 cnf(c38, plain, % 9.61/1.63 $false, % 9.61/1.63 inference(strict_predicate_extension, [assumptions([a14])], [c34, c36])). % 9.61/1.63 % 9.61/1.63 cnf(c39, plain, % 9.61/1.63 function(X6)). % 9.61/1.63 cnf(a15, assumption, % 9.61/1.63 X0 = X6). % 9.61/1.63 cnf(c40, plain, % 9.61/1.63 ~relation(X0), % 9.61/1.63 inference(predicate_reduction, [assumptions([a15])], [c20, c39])). % 9.61/1.63 % 9.61/1.63 cnf(c41, plain, % 9.61/1.63 relation(X6)). % 9.61/1.63 cnf(a16, assumption, % 9.61/1.63 X0 = X6). % 9.61/1.63 cnf(c42, plain, % 9.61/1.63 $false, % 9.61/1.63 inference(predicate_reduction, [assumptions([a16])], [c40, c41])). % 9.61/1.63 % 9.61/1.63 cnf(c43, plain, % 9.61/1.63 $false, % 9.61/1.63 inference(constraint_solving, [ % 9.61/1.63 bind(X0, empty_set), % 9.61/1.63 bind(X1, sK24), % 9.61/1.63 bind(X2, relation_rng(X0)), % 9.61/1.63 bind(X3, empty_set), % 9.61/1.63 bind(X4, sK24), % 9.61/1.63 bind(X5, empty_set), % 9.61/1.63 bind(X6, empty_set), % 9.61/1.63 bind(X7, relation_dom(X6)), % 9.61/1.63 bind(X8, relation_dom(X6)), % 9.61/1.63 bind(X9, empty_set) % 9.61/1.63 ], % 9.61/1.63 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16])). % 9.61/1.63 % 9.61/1.63 % SZS output end IncompleteProof %------------------------------------------------------------------------------