%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : NUM411+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 : n011.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 50.10s 6.78s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NUM411+1 : TPTP v8.1.0. Released v3.2.0. % 0.07/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.34 % Computer : n011.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 : Tue Jul 5 05:27:07 EDT 2022 % 0.12/0.34 % CPUTime : % 50.10/6.78 % SZS status Theorem % 50.10/6.78 % SZS output begin IncompleteProof % 50.10/6.78 cnf(c0, axiom, % 50.10/6.78 transfinite_sequence_of(sK21,sK19)). % 50.10/6.78 cnf(c1, plain, % 50.10/6.78 transfinite_sequence_of(sK21,sK19), % 50.10/6.78 inference(start, [], [c0])). % 50.10/6.78 % 50.10/6.78 cnf(c2, axiom, % 50.10/6.78 sP2(X0) | ~transfinite_sequence_of(X0,X1)). % 50.10/6.78 cnf(a0, assumption, % 50.10/6.78 sK21 = X0). % 50.10/6.78 cnf(a1, assumption, % 50.10/6.78 sK19 = X1). % 50.10/6.78 cnf(c3, plain, % 50.10/6.78 $false, % 50.10/6.78 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 50.10/6.78 cnf(c4, plain, % 50.10/6.78 sP2(X0), % 50.10/6.78 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 50.10/6.78 % 50.10/6.78 cnf(c5, axiom, % 50.10/6.78 transfinite_sequence(X2) | ~sP2(X2)). % 50.10/6.78 cnf(a2, assumption, % 50.10/6.78 X0 = X2). % 50.10/6.78 cnf(c6, plain, % 50.10/6.78 $false, % 50.10/6.78 inference(strict_predicate_extension, [assumptions([a2])], [c4, c5])). % 50.10/6.78 cnf(c7, plain, % 50.10/6.78 transfinite_sequence(X2), % 50.10/6.78 inference(strict_predicate_extension, [assumptions([a2])], [c4, c5])). % 50.10/6.78 % 50.10/6.78 cnf(c8, axiom, % 50.10/6.78 transfinite_sequence_of(X3,X4) | ~subset(relation_rng(X3),X4) | ~transfinite_sequence(X3) | ~function(X3) | ~relation(X3)). % 50.10/6.78 cnf(a3, assumption, % 50.10/6.78 X2 = X3). % 50.10/6.78 cnf(c9, plain, % 50.10/6.78 $false, % 50.10/6.78 inference(strict_predicate_extension, [assumptions([a3])], [c7, c8])). % 50.10/6.78 cnf(c10, plain, % 50.10/6.78 transfinite_sequence_of(X3,X4) | ~subset(relation_rng(X3),X4) | ~function(X3) | ~relation(X3), % 50.10/6.78 inference(strict_predicate_extension, [assumptions([a3])], [c7, c8])). % 50.10/6.78 % 50.10/6.78 cnf(c11, axiom, % 50.10/6.78 ~transfinite_sequence_of(sK21,sK20)). % 50.10/6.78 cnf(a4, assumption, % 50.10/6.78 X3 = sK21). % 50.10/6.78 cnf(a5, assumption, % 50.10/6.78 X4 = sK20). % 50.10/6.78 cnf(c12, plain, % 50.10/6.78 ~subset(relation_rng(X3),X4) | ~function(X3) | ~relation(X3), % 50.10/6.78 inference(strict_predicate_extension, [assumptions([a4, a5])], [c10, c11])). % 50.10/6.78 cnf(c13, plain, % 50.10/6.78 $false, % 50.10/6.78 inference(strict_predicate_extension, [assumptions([a4, a5])], [c10, c11])). % 50.10/6.78 % 50.10/6.78 cnf(c14, axiom, % 50.10/6.78 subset(X5,X6) | ~subset(X7,X6) | ~subset(X5,X7)). % 50.10/6.78 cnf(a6, assumption, % 50.10/6.78 relation_rng(X3) = X5). % 50.10/6.78 cnf(a7, assumption, % 50.10/6.78 X4 = X6). % 50.10/6.78 cnf(c15, plain, % 50.10/6.78 ~function(X3) | ~relation(X3), % 50.10/6.78 inference(strict_predicate_extension, [assumptions([a6, a7])], [c12, c14])). % 50.10/6.78 cnf(c16, plain, % 50.10/6.78 ~subset(X7,X6) | ~subset(X5,X7), % 50.10/6.78 inference(strict_predicate_extension, [assumptions([a6, a7])], [c12, c14])). % 50.10/6.78 % 50.10/6.78 cnf(c17, axiom, % 50.10/6.78 subset(sK19,sK20)). % 50.10/6.78 cnf(a8, assumption, % 50.10/6.78 X7 = sK19). % 50.10/6.78 cnf(a9, assumption, % 50.10/6.78 X6 = sK20). % 50.10/6.78 cnf(c18, plain, % 50.10/6.78 ~subset(X5,X7), % 50.10/6.78 inference(strict_predicate_extension, [assumptions([a8, a9])], [c16, c17])). % 50.10/6.78 cnf(c19, plain, % 50.10/6.78 $false, % 50.10/6.78 inference(strict_predicate_extension, [assumptions([a8, a9])], [c16, c17])). % 50.10/6.78 % 50.10/6.78 cnf(c20, axiom, % 50.10/6.78 subset(relation_rng(X8),X9) | ~transfinite_sequence_of(X8,X9) | ~transfinite_sequence(X8) | ~function(X8) | ~relation(X8)). % 50.10/6.78 cnf(a10, assumption, % 50.10/6.78 X5 = relation_rng(X8)). % 50.10/6.78 cnf(a11, assumption, % 50.10/6.78 X7 = X9). % 50.10/6.78 cnf(c21, plain, % 50.10/6.78 $false, % 50.10/6.78 inference(strict_predicate_extension, [assumptions([a10, a11])], [c18, c20])). % 50.10/6.78 cnf(c22, plain, % 50.10/6.78 ~transfinite_sequence_of(X8,X9) | ~transfinite_sequence(X8) | ~function(X8) | ~relation(X8), % 50.10/6.78 inference(strict_predicate_extension, [assumptions([a10, a11])], [c18, c20])). % 50.10/6.78 % 50.10/6.78 cnf(c23, plain, % 50.10/6.78 transfinite_sequence_of(sK21,sK19)). % 50.10/6.78 cnf(a12, assumption, % 50.10/6.78 X8 = sK21). % 50.10/6.78 cnf(a13, assumption, % 50.10/6.78 X9 = sK19). % 50.10/6.78 cnf(c24, plain, % 50.10/6.78 ~transfinite_sequence(X8) | ~function(X8) | ~relation(X8), % 50.12/6.78 inference(predicate_reduction, [assumptions([a12, a13])], [c22, c23])). % 50.12/6.78 % 50.12/6.78 cnf(c25, plain, % 50.12/6.78 transfinite_sequence(X2)). % 50.12/6.78 cnf(a14, assumption, % 50.12/6.78 X8 = X2). % 50.12/6.78 cnf(c26, plain, % 50.12/6.78 ~function(X8) | ~relation(X8), % 50.12/6.78 inference(predicate_reduction, [assumptions([a14])], [c24, c25])). % 50.12/6.78 % 50.12/6.78 cnf(c27, axiom, % 50.12/6.78 function(X10) | ~sP2(X10)). % 50.12/6.78 cnf(a15, assumption, % 50.12/6.78 X8 = X10). % 50.12/6.78 cnf(c28, plain, % 50.12/6.78 ~relation(X8), % 50.12/6.78 inference(strict_predicate_extension, [assumptions([a15])], [c26, c27])). % 50.12/6.78 cnf(c29, plain, % 50.12/6.78 ~sP2(X10), % 50.12/6.78 inference(strict_predicate_extension, [assumptions([a15])], [c26, c27])). % 50.12/6.78 % 50.12/6.78 cnf(c30, plain, % 50.12/6.78 sP2(X0)). % 50.12/6.78 cnf(a16, assumption, % 50.12/6.78 X10 = X0). % 50.12/6.78 cnf(c31, plain, % 50.12/6.78 $false, % 50.12/6.78 inference(predicate_reduction, [assumptions([a16])], [c29, c30])). % 50.12/6.78 % 50.12/6.78 cnf(c32, axiom, % 50.12/6.78 relation(X11) | ~sP2(X11)). % 50.12/6.78 cnf(a17, assumption, % 50.12/6.78 X8 = X11). % 50.12/6.78 cnf(c33, plain, % 50.12/6.78 $false, % 50.12/6.78 inference(strict_predicate_extension, [assumptions([a17])], [c28, c32])). % 50.12/6.78 cnf(c34, plain, % 50.12/6.78 ~sP2(X11), % 50.12/6.78 inference(strict_predicate_extension, [assumptions([a17])], [c28, c32])). % 50.12/6.78 % 50.12/6.78 cnf(c35, plain, % 50.12/6.78 sP2(X0)). % 50.12/6.78 cnf(a18, assumption, % 50.12/6.78 X11 = X0). % 50.12/6.78 cnf(c36, plain, % 50.12/6.78 $false, % 50.12/6.78 inference(predicate_reduction, [assumptions([a18])], [c34, c35])). % 50.12/6.78 % 50.12/6.78 cnf(c37, plain, % 50.12/6.78 function(X8)). % 50.12/6.78 cnf(a19, assumption, % 50.12/6.78 X3 = X8). % 50.12/6.78 cnf(c38, plain, % 50.12/6.78 ~relation(X3), % 50.12/6.78 inference(predicate_reduction, [assumptions([a19])], [c15, c37])). % 50.12/6.78 % 50.12/6.78 cnf(c39, plain, % 50.12/6.78 relation(X8)). % 50.12/6.78 cnf(a20, assumption, % 50.12/6.78 X3 = X8). % 50.12/6.78 cnf(c40, plain, % 50.12/6.78 $false, % 50.12/6.78 inference(predicate_reduction, [assumptions([a20])], [c38, c39])). % 50.12/6.78 % 50.12/6.78 cnf(c41, plain, % 50.12/6.78 $false, % 50.12/6.78 inference(constraint_solving, [ % 50.12/6.78 bind(X0, sK21), % 50.12/6.78 bind(X1, sK19), % 50.12/6.78 bind(X2, sK21), % 50.12/6.78 bind(X3, sK21), % 50.12/6.78 bind(X4, sK20), % 50.12/6.78 bind(X5, relation_rng(X3)), % 50.12/6.78 bind(X6, sK20), % 50.12/6.78 bind(X7, sK19), % 50.12/6.78 bind(X8, sK21), % 50.12/6.78 bind(X9, sK19), % 50.12/6.78 bind(X10, sK21), % 50.12/6.78 bind(X11, sK21) % 50.12/6.78 ], % 50.12/6.78 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20])). % 50.12/6.78 % 50.12/6.78 % SZS output end IncompleteProof %------------------------------------------------------------------------------