TSTP Solution File: NUM412+1 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% 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
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