TSTP Solution File: NUM414+1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : NUM414+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 : n029.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 11:32:42 EDT 2022
% Result : Theorem 58.81s 7.97s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM414+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.14 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jul 5 18:50:57 EDT 2022
% 0.14/0.36 % CPUTime :
% 58.81/7.97 % SZS status Theorem
% 58.81/7.97 % SZS output begin IncompleteProof
% 58.81/7.97 cnf(c0, axiom,
% 58.81/7.97 ~proper_subset(sK18,sK17)).
% 58.81/7.97 cnf(c1, plain,
% 58.81/7.97 ~proper_subset(sK18,sK17),
% 58.81/7.97 inference(start, [], [c0])).
% 58.81/7.97
% 58.81/7.97 cnf(c2, axiom,
% 58.81/7.97 proper_subset(X0,X1) | X0 = X1 | ~subset(X0,X1)).
% 58.81/7.97 cnf(a0, assumption,
% 58.81/7.97 sK18 = X0).
% 58.81/7.97 cnf(a1, assumption,
% 58.81/7.97 sK17 = X1).
% 58.81/7.97 cnf(c3, plain,
% 58.81/7.97 $false,
% 58.81/7.97 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 58.81/7.97 cnf(c4, plain,
% 58.81/7.97 X0 = X1 | ~subset(X0,X1),
% 58.81/7.97 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 58.81/7.97
% 58.81/7.97 cnf(c5, axiom,
% 58.81/7.97 sK17 != sK18).
% 58.81/7.97 cnf(a2, assumption,
% 58.81/7.97 sK17 = X1).
% 58.81/7.97 cnf(c6, plain,
% 58.81/7.97 ~subset(X0,X1),
% 58.81/7.97 inference(strict_subterm_extension, [assumptions([a2])], [c4, c5])).
% 58.81/7.97 cnf(c7, plain,
% 58.81/7.97 $false,
% 58.81/7.97 inference(strict_subterm_extension, [assumptions([a2])], [c4, c5])).
% 58.81/7.97 cnf(c8, plain,
% 58.81/7.97 X0 != sK18,
% 58.81/7.97 inference(strict_subterm_extension, [assumptions([a2])], [c4, c5])).
% 58.81/7.97
% 58.81/7.97 cnf(a3, assumption,
% 58.81/7.97 X0 = sK18).
% 58.81/7.97 cnf(c9, plain,
% 58.81/7.97 $false,
% 58.81/7.97 inference(reflexivity, [assumptions([a3])], [c8])).
% 58.81/7.97
% 58.81/7.97 cnf(c10, axiom,
% 58.81/7.97 subset(X2,X3) | ~ordinal_subset(X2,X3) | ~ordinal(X3) | ~ordinal(X2)).
% 58.81/7.97 cnf(a4, assumption,
% 58.81/7.97 X0 = X2).
% 58.81/7.97 cnf(a5, assumption,
% 58.81/7.97 X1 = X3).
% 58.81/7.97 cnf(c11, plain,
% 58.81/7.97 $false,
% 58.81/7.97 inference(strict_predicate_extension, [assumptions([a4, a5])], [c6, c10])).
% 58.81/7.97 cnf(c12, plain,
% 58.81/7.97 ~ordinal_subset(X2,X3) | ~ordinal(X3) | ~ordinal(X2),
% 58.81/7.97 inference(strict_predicate_extension, [assumptions([a4, a5])], [c6, c10])).
% 58.81/7.97
% 58.81/7.97 cnf(c13, axiom,
% 58.81/7.97 ordinal_subset(X4,X5) | ordinal_subset(X5,X4) | ~ordinal(X4) | ~ordinal(X5)).
% 58.81/7.97 cnf(a6, assumption,
% 58.81/7.97 X2 = X5).
% 58.81/7.97 cnf(a7, assumption,
% 58.81/7.97 X3 = X4).
% 58.81/7.97 cnf(c14, plain,
% 58.81/7.97 ~ordinal(X3) | ~ordinal(X2),
% 58.81/7.97 inference(strict_predicate_extension, [assumptions([a6, a7])], [c12, c13])).
% 58.81/7.97 cnf(c15, plain,
% 58.81/7.97 ordinal_subset(X4,X5) | ~ordinal(X4) | ~ordinal(X5),
% 58.81/7.97 inference(strict_predicate_extension, [assumptions([a6, a7])], [c12, c13])).
% 58.81/7.97
% 58.81/7.97 cnf(c16, axiom,
% 58.81/7.97 subset(X6,X7) | ~ordinal_subset(X6,X7) | ~ordinal(X7) | ~ordinal(X6)).
% 58.81/7.97 cnf(a8, assumption,
% 58.81/7.97 X4 = X6).
% 58.81/7.97 cnf(a9, assumption,
% 58.81/7.97 X5 = X7).
% 58.81/7.97 cnf(c17, plain,
% 58.81/7.97 ~ordinal(X4) | ~ordinal(X5),
% 58.81/7.97 inference(strict_predicate_extension, [assumptions([a8, a9])], [c15, c16])).
% 58.81/7.97 cnf(c18, plain,
% 58.81/7.97 subset(X6,X7) | ~ordinal(X7) | ~ordinal(X6),
% 58.81/7.97 inference(strict_predicate_extension, [assumptions([a8, a9])], [c15, c16])).
% 58.81/7.97
% 58.81/7.97 cnf(c19, axiom,
% 58.81/7.97 proper_subset(X8,X9) | X8 = X9 | ~subset(X8,X9)).
% 58.81/7.97 cnf(a10, assumption,
% 58.81/7.97 X6 = X8).
% 58.81/7.97 cnf(a11, assumption,
% 58.81/7.97 X7 = X9).
% 58.81/7.97 cnf(c20, plain,
% 58.81/7.97 ~ordinal(X7) | ~ordinal(X6),
% 58.81/7.97 inference(strict_predicate_extension, [assumptions([a10, a11])], [c18, c19])).
% 58.81/7.97 cnf(c21, plain,
% 58.81/7.97 proper_subset(X8,X9) | X8 = X9,
% 58.81/7.97 inference(strict_predicate_extension, [assumptions([a10, a11])], [c18, c19])).
% 58.81/7.97
% 58.81/7.97 cnf(c22, axiom,
% 58.81/7.97 ~proper_subset(sK17,sK18)).
% 58.81/7.97 cnf(a12, assumption,
% 58.81/7.97 X8 = sK17).
% 58.81/7.97 cnf(a13, assumption,
% 58.81/7.97 X9 = sK18).
% 58.81/7.97 cnf(c23, plain,
% 58.81/7.97 X8 = X9,
% 58.81/7.97 inference(strict_predicate_extension, [assumptions([a12, a13])], [c21, c22])).
% 58.81/7.97 cnf(c24, plain,
% 58.81/7.97 $false,
% 58.81/7.97 inference(strict_predicate_extension, [assumptions([a12, a13])], [c21, c22])).
% 58.81/7.97
% 58.81/7.97 cnf(c25, axiom,
% 58.81/7.97 sK17 != sK18).
% 58.81/7.97 cnf(a14, assumption,
% 58.81/7.97 sK17 = X8).
% 58.81/7.97 cnf(c26, plain,
% 58.81/7.97 $false,
% 58.81/7.97 inference(strict_subterm_extension, [assumptions([a14])], [c23, c25])).
% 58.81/7.97 cnf(c27, plain,
% 58.81/7.97 $false,
% 58.81/7.97 inference(strict_subterm_extension, [assumptions([a14])], [c23, c25])).
% 58.81/7.97 cnf(c28, plain,
% 58.81/7.97 X9 != sK18,
% 58.81/7.97 inference(strict_subterm_extension, [assumptions([a14])], [c23, c25])).
% 58.81/7.97
% 58.81/7.97 cnf(a15, assumption,
% 58.81/7.97 X9 = sK18).
% 58.81/7.97 cnf(c29, plain,
% 58.81/7.97 $false,
% 58.81/7.97 inference(reflexivity, [assumptions([a15])], [c28])).
% 58.81/7.97
% 58.81/7.97 cnf(c30, axiom,
% 58.81/7.97 ordinal(sK18)).
% 58.81/7.97 cnf(a16, assumption,
% 58.81/7.97 X7 = sK18).
% 58.81/7.97 cnf(c31, plain,
% 58.81/7.97 ~ordinal(X6),
% 58.81/7.97 inference(strict_predicate_extension, [assumptions([a16])], [c20, c30])).
% 58.81/7.97 cnf(c32, plain,
% 58.81/7.97 $false,
% 58.81/7.97 inference(strict_predicate_extension, [assumptions([a16])], [c20, c30])).
% 58.81/7.97
% 58.81/7.97 cnf(c33, axiom,
% 58.81/7.97 ordinal(sK17)).
% 58.81/7.97 cnf(a17, assumption,
% 58.81/7.97 X6 = sK17).
% 58.81/7.97 cnf(c34, plain,
% 58.81/7.97 $false,
% 58.81/7.97 inference(strict_predicate_extension, [assumptions([a17])], [c31, c33])).
% 58.81/7.97 cnf(c35, plain,
% 58.81/7.97 $false,
% 58.81/7.97 inference(strict_predicate_extension, [assumptions([a17])], [c31, c33])).
% 58.81/7.97
% 58.81/7.97 cnf(c36, plain,
% 58.81/7.97 ordinal(X6)).
% 58.81/7.97 cnf(a18, assumption,
% 58.81/7.97 X4 = X6).
% 58.81/7.97 cnf(c37, plain,
% 58.81/7.97 ~ordinal(X5),
% 58.81/7.97 inference(predicate_reduction, [assumptions([a18])], [c17, c36])).
% 58.81/7.97
% 58.81/7.97 cnf(c38, plain,
% 58.81/7.97 ordinal(X7)).
% 58.81/7.97 cnf(a19, assumption,
% 58.81/7.97 X5 = X7).
% 58.81/7.97 cnf(c39, plain,
% 58.81/7.97 $false,
% 58.81/7.97 inference(predicate_reduction, [assumptions([a19])], [c37, c38])).
% 58.81/7.97
% 58.81/7.97 cnf(c40, plain,
% 58.81/7.97 ordinal(X6)).
% 58.81/7.97 cnf(a20, assumption,
% 58.81/7.97 X3 = X6).
% 58.81/7.97 cnf(c41, plain,
% 58.81/7.97 ~ordinal(X2),
% 58.81/7.97 inference(predicate_reduction, [assumptions([a20])], [c14, c40])).
% 58.81/7.97
% 58.81/7.97 cnf(c42, plain,
% 58.81/7.97 ordinal(X7)).
% 58.81/7.97 cnf(a21, assumption,
% 58.81/7.97 X2 = X7).
% 58.81/7.97 cnf(c43, plain,
% 58.81/7.97 $false,
% 58.81/7.97 inference(predicate_reduction, [assumptions([a21])], [c41, c42])).
% 58.81/7.97
% 58.81/7.97 cnf(c44, plain,
% 58.81/7.97 $false,
% 58.81/7.97 inference(constraint_solving, [
% 58.81/7.97 bind(X0, sK18),
% 58.81/7.97 bind(X1, sK17),
% 58.81/7.97 bind(X2, sK18),
% 58.81/7.97 bind(X3, sK17),
% 58.81/7.97 bind(X4, sK17),
% 58.81/7.97 bind(X5, sK18),
% 58.81/7.97 bind(X6, sK17),
% 58.81/7.97 bind(X7, sK18),
% 58.81/7.97 bind(X8, sK17),
% 58.81/7.97 bind(X9, sK18)
% 58.81/7.97 ],
% 58.81/7.97 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21])).
% 58.81/7.97
% 58.81/7.97 % SZS output end IncompleteProof
%------------------------------------------------------------------------------