TSTP Solution File: SEU263+1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SEU263+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : Tue Jul 19 11:54:34 EDT 2022
% Result : Theorem 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU263+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.14/0.35 % Computer : n014.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 : Sun Jun 19 20:39:33 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.40 % SZS status Theorem
% 0.14/0.40 % SZS output begin IncompleteProof
% 0.14/0.40 cnf(c0, axiom,
% 0.14/0.40 ~relation_of2_as_subset(sK6,sK5,sK4)).
% 0.14/0.40 cnf(c1, plain,
% 0.14/0.40 ~relation_of2_as_subset(sK6,sK5,sK4),
% 0.14/0.40 inference(start, [], [c0])).
% 0.14/0.40
% 0.14/0.40 cnf(c2, axiom,
% 0.14/0.40 relation_of2_as_subset(X0,X1,X2) | ~relation_of2(X0,X1,X2)).
% 0.14/0.40 cnf(a0, assumption,
% 0.14/0.40 sK6 = X0).
% 0.14/0.40 cnf(a1, assumption,
% 0.14/0.40 sK5 = X1).
% 0.14/0.40 cnf(a2, assumption,
% 0.14/0.40 sK4 = X2).
% 0.14/0.40 cnf(c3, plain,
% 0.14/0.40 $false,
% 0.14/0.40 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 0.14/0.40 cnf(c4, plain,
% 0.14/0.40 ~relation_of2(X0,X1,X2),
% 0.14/0.40 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 0.14/0.40
% 0.14/0.40 cnf(c5, axiom,
% 0.14/0.40 relation_of2(X3,X4,X5) | ~subset(X3,cartesian_product2(X4,X5))).
% 0.14/0.40 cnf(a3, assumption,
% 0.14/0.40 X0 = X3).
% 0.14/0.40 cnf(a4, assumption,
% 0.14/0.40 X1 = X4).
% 0.14/0.40 cnf(a5, assumption,
% 0.14/0.40 X2 = X5).
% 0.14/0.40 cnf(c6, plain,
% 0.14/0.40 $false,
% 0.14/0.40 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 0.14/0.40 cnf(c7, plain,
% 0.14/0.40 ~subset(X3,cartesian_product2(X4,X5)),
% 0.14/0.40 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 0.14/0.40
% 0.14/0.40 cnf(c8, axiom,
% 0.14/0.40 subset(X6,X7) | ~subset(X8,X7) | ~subset(X6,X8)).
% 0.14/0.40 cnf(a6, assumption,
% 0.14/0.40 X3 = X6).
% 0.14/0.40 cnf(a7, assumption,
% 0.14/0.40 cartesian_product2(X4,X5) = X7).
% 0.14/0.40 cnf(c9, plain,
% 0.14/0.40 $false,
% 0.14/0.40 inference(strict_predicate_extension, [assumptions([a6, a7])], [c7, c8])).
% 0.14/0.40 cnf(c10, plain,
% 0.14/0.40 ~subset(X8,X7) | ~subset(X6,X8),
% 0.14/0.40 inference(strict_predicate_extension, [assumptions([a6, a7])], [c7, c8])).
% 0.14/0.40
% 0.14/0.40 cnf(c11, axiom,
% 0.14/0.40 subset(cartesian_product2(X9,X10),cartesian_product2(X11,X12)) | ~subset(X10,X12) | ~subset(X9,X11)).
% 0.14/0.40 cnf(a8, assumption,
% 0.14/0.40 X8 = cartesian_product2(X9,X10)).
% 0.14/0.40 cnf(a9, assumption,
% 0.14/0.40 X7 = cartesian_product2(X11,X12)).
% 0.14/0.40 cnf(c12, plain,
% 0.14/0.40 ~subset(X6,X8),
% 0.14/0.40 inference(strict_predicate_extension, [assumptions([a8, a9])], [c10, c11])).
% 0.14/0.40 cnf(c13, plain,
% 0.14/0.40 ~subset(X10,X12) | ~subset(X9,X11),
% 0.14/0.40 inference(strict_predicate_extension, [assumptions([a8, a9])], [c10, c11])).
% 0.14/0.40
% 0.14/0.40 cnf(c14, axiom,
% 0.14/0.40 subset(relation_rng(sK6),sK4)).
% 0.14/0.40 cnf(a10, assumption,
% 0.14/0.40 X10 = relation_rng(sK6)).
% 0.14/0.40 cnf(a11, assumption,
% 0.14/0.40 X12 = sK4).
% 0.14/0.40 cnf(c15, plain,
% 0.14/0.40 ~subset(X9,X11),
% 0.14/0.40 inference(strict_predicate_extension, [assumptions([a10, a11])], [c13, c14])).
% 0.14/0.40 cnf(c16, plain,
% 0.14/0.40 $false,
% 0.14/0.40 inference(strict_predicate_extension, [assumptions([a10, a11])], [c13, c14])).
% 0.14/0.40
% 0.14/0.40 cnf(c17, axiom,
% 0.14/0.40 subset(relation_dom(X13),X14) | ~relation_of2_as_subset(X13,X14,X15)).
% 0.14/0.40 cnf(a12, assumption,
% 0.14/0.40 X9 = relation_dom(X13)).
% 0.14/0.40 cnf(a13, assumption,
% 0.14/0.40 X11 = X14).
% 0.14/0.40 cnf(c18, plain,
% 0.14/0.40 $false,
% 0.14/0.40 inference(strict_predicate_extension, [assumptions([a12, a13])], [c15, c17])).
% 0.14/0.40 cnf(c19, plain,
% 0.14/0.40 ~relation_of2_as_subset(X13,X14,X15),
% 0.14/0.40 inference(strict_predicate_extension, [assumptions([a12, a13])], [c15, c17])).
% 0.14/0.40
% 0.14/0.40 cnf(c20, axiom,
% 0.14/0.40 relation_of2_as_subset(sK6,sK5,sK3)).
% 0.14/0.40 cnf(a14, assumption,
% 0.14/0.40 X13 = sK6).
% 0.14/0.40 cnf(a15, assumption,
% 0.14/0.40 X14 = sK5).
% 0.14/0.40 cnf(a16, assumption,
% 0.14/0.40 X15 = sK3).
% 0.14/0.40 cnf(c21, plain,
% 0.14/0.40 $false,
% 0.14/0.40 inference(strict_predicate_extension, [assumptions([a14, a15, a16])], [c19, c20])).
% 0.14/0.40 cnf(c22, plain,
% 0.14/0.40 $false,
% 0.14/0.40 inference(strict_predicate_extension, [assumptions([a14, a15, a16])], [c19, c20])).
% 0.14/0.40
% 0.14/0.40 cnf(c23, axiom,
% 0.14/0.40 subset(X16,cartesian_product2(relation_dom(X16),relation_rng(X16))) | ~relation(X16)).
% 0.14/0.40 cnf(a17, assumption,
% 0.14/0.40 X6 = X16).
% 0.14/0.40 cnf(a18, assumption,
% 0.14/0.40 X8 = cartesian_product2(relation_dom(X16),relation_rng(X16))).
% 0.14/0.40 cnf(c24, plain,
% 0.14/0.40 $false,
% 0.14/0.40 inference(strict_predicate_extension, [assumptions([a17, a18])], [c12, c23])).
% 0.14/0.40 cnf(c25, plain,
% 0.14/0.40 ~relation(X16),
% 0.14/0.40 inference(strict_predicate_extension, [assumptions([a17, a18])], [c12, c23])).
% 0.14/0.40
% 0.14/0.40 cnf(c26, axiom,
% 0.14/0.40 relation(X17) | ~element(X17,powerset(cartesian_product2(X18,X19)))).
% 0.14/0.40 cnf(a19, assumption,
% 0.14/0.40 X16 = X17).
% 0.14/0.40 cnf(c27, plain,
% 0.14/0.40 $false,
% 0.14/0.40 inference(strict_predicate_extension, [assumptions([a19])], [c25, c26])).
% 0.14/0.40 cnf(c28, plain,
% 0.14/0.40 ~element(X17,powerset(cartesian_product2(X18,X19))),
% 0.14/0.40 inference(strict_predicate_extension, [assumptions([a19])], [c25, c26])).
% 0.14/0.40
% 0.14/0.40 cnf(c29, axiom,
% 0.14/0.40 element(X20,powerset(cartesian_product2(X21,X22))) | ~relation_of2_as_subset(X20,X21,X22)).
% 0.14/0.40 cnf(a20, assumption,
% 0.14/0.40 X17 = X20).
% 0.14/0.40 cnf(a21, assumption,
% 0.14/0.40 powerset(cartesian_product2(X18,X19)) = powerset(cartesian_product2(X21,X22))).
% 0.14/0.40 cnf(c30, plain,
% 0.14/0.40 $false,
% 0.14/0.40 inference(strict_predicate_extension, [assumptions([a20, a21])], [c28, c29])).
% 0.14/0.40 cnf(c31, plain,
% 0.14/0.40 ~relation_of2_as_subset(X20,X21,X22),
% 0.14/0.40 inference(strict_predicate_extension, [assumptions([a20, a21])], [c28, c29])).
% 0.14/0.40
% 0.14/0.40 cnf(c32, plain,
% 0.14/0.40 relation_of2_as_subset(X13,X14,X15)).
% 0.14/0.40 cnf(a22, assumption,
% 0.14/0.40 X20 = X13).
% 0.14/0.40 cnf(a23, assumption,
% 0.14/0.40 X21 = X14).
% 0.14/0.40 cnf(a24, assumption,
% 0.14/0.40 X22 = X15).
% 0.14/0.40 cnf(c33, plain,
% 0.14/0.40 $false,
% 0.14/0.40 inference(predicate_reduction, [assumptions([a22, a23, a24])], [c31, c32])).
% 0.14/0.40
% 0.14/0.40 cnf(c34, plain,
% 0.14/0.40 $false,
% 0.14/0.40 inference(constraint_solving, [
% 0.14/0.40 bind(X0, sK6),
% 0.14/0.40 bind(X1, sK5),
% 0.14/0.40 bind(X2, sK4),
% 0.14/0.40 bind(X3, sK6),
% 0.14/0.40 bind(X4, sK5),
% 0.14/0.40 bind(X5, sK4),
% 0.14/0.40 bind(X6, sK6),
% 0.14/0.40 bind(X7, cartesian_product2(X4,X5)),
% 0.14/0.40 bind(X8, cartesian_product2(X9,X10)),
% 0.14/0.40 bind(X9, relation_dom(X13)),
% 0.14/0.40 bind(X10, relation_rng(sK6)),
% 0.14/0.40 bind(X11, sK5),
% 0.14/0.40 bind(X12, sK4),
% 0.14/0.40 bind(X13, sK6),
% 0.14/0.40 bind(X14, sK5),
% 0.14/0.40 bind(X15, sK3),
% 0.14/0.40 bind(X16, sK6),
% 0.14/0.40 bind(X17, sK6),
% 0.14/0.40 bind(X18, sK5),
% 0.14/0.40 bind(X19, sK3),
% 0.14/0.40 bind(X20, sK6),
% 0.14/0.40 bind(X21, sK5),
% 0.14/0.40 bind(X22, sK3)
% 0.14/0.40 ],
% 0.14/0.40 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23, a24])).
% 0.14/0.40
% 0.14/0.40 % SZS output end IncompleteProof
%------------------------------------------------------------------------------