%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : NUM412+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 : n016.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 11:32:41 EDT 2022 % Result : Theorem 18.02s 2.72s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : NUM412+1 : TPTP v8.1.0. Released v3.2.0. % 0.04/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.34 % Computer : n016.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Wed Jul 6 19:31:20 EDT 2022 % 0.12/0.34 % CPUTime : % 18.02/2.72 % SZS status Theorem % 18.02/2.72 % SZS output begin IncompleteProof % 18.02/2.72 cnf(c0, axiom, % 18.02/2.72 ordinal(sK21)). % 18.02/2.72 cnf(c1, plain, % 18.02/2.72 ordinal(sK21), % 18.02/2.72 inference(start, [], [c0])). % 18.02/2.72 % 18.02/2.72 cnf(c2, axiom, % 18.02/2.72 transfinite_sequence_of(tseq_dom_restriction(X0,X1),relation_rng(X0)) | ~ordinal(X1) | ~transfinite_sequence(X0) | ~function(X0) | ~relation(X0)). % 18.02/2.72 cnf(a0, assumption, % 18.02/2.72 sK21 = X1). % 18.02/2.72 cnf(c3, plain, % 18.02/2.72 $false, % 18.02/2.72 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 18.02/2.72 cnf(c4, plain, % 18.02/2.72 transfinite_sequence_of(tseq_dom_restriction(X0,X1),relation_rng(X0)) | ~transfinite_sequence(X0) | ~function(X0) | ~relation(X0), % 18.02/2.72 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 18.02/2.72 % 18.02/2.72 cnf(c5, axiom, % 18.02/2.72 transfinite_sequence_of(X2,X3) | ~transfinite_sequence_of(X2,X4) | ~subset(X4,X3)). % 18.02/2.72 cnf(a1, assumption, % 18.02/2.72 tseq_dom_restriction(X0,X1) = X2). % 18.02/2.72 cnf(a2, assumption, % 18.02/2.72 relation_rng(X0) = X4). % 18.02/2.72 cnf(c6, plain, % 18.02/2.72 ~transfinite_sequence(X0) | ~function(X0) | ~relation(X0), % 18.02/2.72 inference(strict_predicate_extension, [assumptions([a1, a2])], [c4, c5])). % 18.02/2.72 cnf(c7, plain, % 18.02/2.72 transfinite_sequence_of(X2,X3) | ~subset(X4,X3), % 18.02/2.72 inference(strict_predicate_extension, [assumptions([a1, a2])], [c4, c5])). % 18.02/2.72 % 18.02/2.72 cnf(c8, axiom, % 18.02/2.72 ~transfinite_sequence_of(tseq_dom_restriction(sK20,sK21),sK19)). % 18.02/2.72 cnf(a3, assumption, % 18.02/2.72 X2 = tseq_dom_restriction(sK20,sK21)). % 18.02/2.72 cnf(a4, assumption, % 18.02/2.72 X3 = sK19). % 18.02/2.72 cnf(c9, plain, % 18.02/2.72 ~subset(X4,X3), % 18.02/2.72 inference(strict_predicate_extension, [assumptions([a3, a4])], [c7, c8])). % 18.02/2.72 cnf(c10, plain, % 18.02/2.72 $false, % 18.02/2.72 inference(strict_predicate_extension, [assumptions([a3, a4])], [c7, c8])). % 18.02/2.72 % 18.02/2.72 cnf(c11, axiom, % 18.02/2.72 subset(relation_rng(X5),X6) | ~transfinite_sequence_of(X5,X6) | ~transfinite_sequence(X5) | ~function(X5) | ~relation(X5)). % 18.02/2.72 cnf(a5, assumption, % 18.02/2.72 X4 = relation_rng(X5)). % 18.02/2.72 cnf(a6, assumption, % 18.02/2.72 X3 = X6). % 18.02/2.72 cnf(c12, plain, % 18.02/2.72 $false, % 18.02/2.72 inference(strict_predicate_extension, [assumptions([a5, a6])], [c9, c11])). % 18.02/2.72 cnf(c13, plain, % 18.02/2.72 ~transfinite_sequence_of(X5,X6) | ~transfinite_sequence(X5) | ~function(X5) | ~relation(X5), % 18.02/2.72 inference(strict_predicate_extension, [assumptions([a5, a6])], [c9, c11])). % 18.02/2.72 % 18.02/2.72 cnf(c14, axiom, % 18.02/2.72 transfinite_sequence_of(sK20,sK19)). % 18.02/2.72 cnf(a7, assumption, % 18.02/2.72 X5 = sK20). % 18.02/2.72 cnf(a8, assumption, % 18.02/2.72 X6 = sK19). % 18.02/2.72 cnf(c15, plain, % 18.02/2.72 ~transfinite_sequence(X5) | ~function(X5) | ~relation(X5), % 18.02/2.72 inference(strict_predicate_extension, [assumptions([a7, a8])], [c13, c14])). % 18.02/2.72 cnf(c16, plain, % 18.02/2.72 $false, % 18.02/2.72 inference(strict_predicate_extension, [assumptions([a7, a8])], [c13, c14])). % 18.02/2.72 % 18.02/2.72 cnf(c17, axiom, % 18.02/2.72 transfinite_sequence(X7) | ~sP2(X7)). % 18.02/2.72 cnf(a9, assumption, % 18.02/2.72 X5 = X7). % 18.02/2.72 cnf(c18, plain, % 18.02/2.72 ~function(X5) | ~relation(X5), % 18.02/2.72 inference(strict_predicate_extension, [assumptions([a9])], [c15, c17])). % 18.02/2.72 cnf(c19, plain, % 18.02/2.72 ~sP2(X7), % 18.02/2.72 inference(strict_predicate_extension, [assumptions([a9])], [c15, c17])). % 18.02/2.72 % 18.02/2.72 cnf(c20, axiom, % 18.02/2.72 sP2(X8) | ~transfinite_sequence_of(X8,X9)). % 18.02/2.72 cnf(a10, assumption, % 18.02/2.72 X7 = X8). % 18.02/2.72 cnf(c21, plain, % 18.02/2.72 $false, % 18.02/2.72 inference(strict_predicate_extension, [assumptions([a10])], [c19, c20])). % 18.02/2.72 cnf(c22, plain, % 18.02/2.72 ~transfinite_sequence_of(X8,X9), % 18.02/2.72 inference(strict_predicate_extension, [assumptions([a10])], [c19, c20])). % 18.02/2.72 % 18.02/2.72 cnf(c23, plain, % 18.02/2.72 transfinite_sequence_of(X5,X6)). % 18.02/2.72 cnf(a11, assumption, % 18.02/2.72 X8 = X5). % 18.02/2.72 cnf(a12, assumption, % 18.02/2.72 X9 = X6). % 18.02/2.72 cnf(c24, plain, % 18.02/2.72 $false, % 18.02/2.72 inference(predicate_reduction, [assumptions([a11, a12])], [c22, c23])). % 18.02/2.72 % 18.02/2.72 cnf(c25, axiom, % 18.02/2.72 function(X10) | ~sP2(X10)). % 18.02/2.72 cnf(a13, assumption, % 18.02/2.72 X5 = X10). % 18.02/2.72 cnf(c26, plain, % 18.02/2.72 ~relation(X5), % 18.02/2.72 inference(strict_predicate_extension, [assumptions([a13])], [c18, c25])). % 18.02/2.72 cnf(c27, plain, % 18.02/2.72 ~sP2(X10), % 18.02/2.72 inference(strict_predicate_extension, [assumptions([a13])], [c18, c25])). % 18.02/2.72 % 18.02/2.72 cnf(c28, plain, % 18.02/2.72 sP2(X7)). % 18.02/2.72 cnf(a14, assumption, % 18.02/2.72 X10 = X7). % 18.02/2.72 cnf(c29, plain, % 18.02/2.72 $false, % 18.02/2.72 inference(predicate_reduction, [assumptions([a14])], [c27, c28])). % 18.02/2.72 % 18.02/2.72 cnf(c30, axiom, % 18.02/2.72 relation(X11) | ~sP2(X11)). % 18.02/2.72 cnf(a15, assumption, % 18.02/2.72 X5 = X11). % 18.02/2.72 cnf(c31, plain, % 18.02/2.72 $false, % 18.02/2.72 inference(strict_predicate_extension, [assumptions([a15])], [c26, c30])). % 18.02/2.72 cnf(c32, plain, % 18.02/2.72 ~sP2(X11), % 18.02/2.72 inference(strict_predicate_extension, [assumptions([a15])], [c26, c30])). % 18.02/2.72 % 18.02/2.72 cnf(c33, plain, % 18.02/2.72 sP2(X7)). % 18.02/2.72 cnf(a16, assumption, % 18.02/2.72 X11 = X7). % 18.02/2.72 cnf(c34, plain, % 18.02/2.72 $false, % 18.02/2.72 inference(predicate_reduction, [assumptions([a16])], [c32, c33])). % 18.02/2.72 % 18.02/2.72 cnf(c35, plain, % 18.02/2.72 transfinite_sequence(X5)). % 18.02/2.72 cnf(a17, assumption, % 18.02/2.72 X0 = X5). % 18.02/2.72 cnf(c36, plain, % 18.02/2.72 ~function(X0) | ~relation(X0), % 18.02/2.72 inference(predicate_reduction, [assumptions([a17])], [c6, c35])). % 18.02/2.72 % 18.02/2.72 cnf(c37, plain, % 18.02/2.72 function(X5)). % 18.02/2.72 cnf(a18, assumption, % 18.02/2.72 X0 = X5). % 18.02/2.72 cnf(c38, plain, % 18.02/2.72 ~relation(X0), % 18.02/2.72 inference(predicate_reduction, [assumptions([a18])], [c36, c37])). % 18.02/2.72 % 18.02/2.72 cnf(c39, plain, % 18.02/2.72 relation(X5)). % 18.02/2.72 cnf(a19, assumption, % 18.02/2.72 X0 = X5). % 18.02/2.72 cnf(c40, plain, % 18.02/2.72 $false, % 18.02/2.72 inference(predicate_reduction, [assumptions([a19])], [c38, c39])). % 18.02/2.72 % 18.02/2.72 cnf(c41, plain, % 18.02/2.72 $false, % 18.02/2.72 inference(constraint_solving, [ % 18.02/2.72 bind(X0, sK20), % 18.02/2.72 bind(X1, sK21), % 18.02/2.72 bind(X2, tseq_dom_restriction(X0,X1)), % 18.02/2.72 bind(X3, sK19), % 18.02/2.72 bind(X4, relation_rng(X0)), % 18.02/2.72 bind(X5, sK20), % 18.02/2.72 bind(X6, sK19), % 18.02/2.72 bind(X7, sK20), % 18.02/2.72 bind(X8, sK20), % 18.02/2.72 bind(X9, sK19), % 18.02/2.72 bind(X10, sK20), % 18.02/2.72 bind(X11, sK20) % 18.02/2.72 ], % 18.02/2.72 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19])). % 18.02/2.72 % 18.02/2.72 % SZS output end IncompleteProof %------------------------------------------------------------------------------