TSTP Solution File: SET029-3 by Refute---2015
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Refute---2015
% Problem : SET029-3 : TPTP v6.4.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : isabelle tptp_refute %d %s
% Computer : n136.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.75MB
% OS : Linux 3.10.0-327.10.1.el7.x86_64
% CPULimit : 300s
% DateTime : Thu Apr 14 03:09:03 EDT 2016
% Result : Timeout 300.05s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET029-3 : TPTP v6.4.0. Released v1.0.0.
% 0.00/0.04 % Command : isabelle tptp_refute %d %s
% 0.02/0.24 % Computer : n136.star.cs.uiowa.edu
% 0.02/0.24 % Model : x86_64 x86_64
% 0.02/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.24 % Memory : 32218.75MB
% 0.02/0.24 % OS : Linux 3.10.0-327.10.1.el7.x86_64
% 0.02/0.24 % CPULimit : 300
% 0.02/0.24 % DateTime : Thu Apr 7 13:00:24 CDT 2016
% 0.02/0.24 % CPUTime :
% 6.28/5.87 > val it = (): unit
% 6.68/6.27 Trying to find a model that refutes: True
% 9.79/9.40 Unfolded term: [| ~ bnd_subset (bnd_image (bnd_singleton_set bnd_element) bnd_a_function)
% 9.79/9.40 (bnd_apply bnd_a_function bnd_element);
% 9.79/9.40 !!Xf Y.
% 9.79/9.40 bnd_subset (bnd_apply Xf Y)
% 9.79/9.40 (bnd_sigma (bnd_image (bnd_singleton_set Y) Xf));
% 9.79/9.40 !!X Y Z. (~ bnd_subset X Y | ~ bnd_subset Y Z) | bnd_subset X Z;
% 9.79/9.40 !!X. ~ bnd_ordered_pair_predicate X | bnd_little_set X;
% 9.79/9.40 !!X Y. bnd_little_set (bnd_ordered_pair X Y);
% 9.79/9.40 !!X. ~ bnd_little_set X | bnd_member X (bnd_singleton_set X);
% 9.79/9.40 !!X. ~ bnd_ordered_pair_predicate X | bnd_little_set (bnd_second X);
% 9.79/9.40 !!X. ~ bnd_ordered_pair_predicate X | bnd_little_set (bnd_first X);
% 9.79/9.40 !!X Y.
% 9.79/9.40 (~ bnd_little_set X | ~ bnd_little_set Y) |
% 9.79/9.40 bnd_second (bnd_ordered_pair X Y) = Y;
% 9.79/9.40 !!X Y.
% 9.79/9.40 (~ bnd_little_set X | ~ bnd_little_set Y) |
% 9.79/9.40 bnd_first (bnd_ordered_pair X Y) = X;
% 9.79/9.40 !!X Y. (~ bnd_subset X Y | ~ bnd_subset Y X) | X = Y;
% 9.79/9.40 !!X Y U V.
% 9.79/9.40 ((((~ bnd_little_set X | ~ bnd_little_set Y) | ~ bnd_little_set U) |
% 9.79/9.40 ~ bnd_little_set V) |
% 9.79/9.40 ~ bnd_ordered_pair X Y = bnd_ordered_pair U V) |
% 9.79/9.40 Y = V;
% 9.79/9.40 !!X Y Z.
% 9.79/9.40 ((~ bnd_little_set X | ~ bnd_little_set Y) |
% 9.79/9.40 ~ bnd_non_ordered_pair Z X = bnd_non_ordered_pair Z Y) |
% 9.79/9.40 X = Y;
% 9.79/9.40 !!X U Y V.
% 9.79/9.40 ((~ bnd_little_set X | ~ bnd_little_set U) |
% 9.79/9.40 ~ bnd_ordered_pair X Y = bnd_ordered_pair U V) |
% 9.79/9.40 X = U;
% 9.79/9.40 !!Xh Xs1 Xf1 Xs2 Xf2.
% 9.79/9.40 (((bnd_homomorphism Xh Xs1 Xf1 Xs2 Xf2 | ~ bnd_closed Xs1 Xf1) |
% 9.79/9.40 ~ bnd_closed Xs2 Xf2) |
% 9.79/9.40 ~ bnd_maps Xh Xs1 Xs2) |
% 9.79/9.40 ~ bnd_apply Xh
% 9.79/9.40 (bnd_apply_to_two_arguments Xf1 (bnd_f32 Xh Xs1 Xf1 Xs2 Xf2)
% 9.79/9.40 (bnd_f33 Xh Xs1 Xf1 Xs2 Xf2)) =
% 9.79/9.40 bnd_apply_to_two_arguments Xf2
% 9.79/9.40 (bnd_apply Xh (bnd_f32 Xh Xs1 Xf1 Xs2 Xf2))
% 9.79/9.40 (bnd_apply Xh (bnd_f33 Xh Xs1 Xf1 Xs2 Xf2));
% 9.79/9.40 !!Xh Xs1 Xf1 Xs2 Xf2.
% 9.79/9.40 (((bnd_homomorphism Xh Xs1 Xf1 Xs2 Xf2 | ~ bnd_closed Xs1 Xf1) |
% 9.79/9.40 ~ bnd_closed Xs2 Xf2) |
% 9.79/9.40 ~ bnd_maps Xh Xs1 Xs2) |
% 9.79/9.40 bnd_member (bnd_f33 Xh Xs1 Xf1 Xs2 Xf2) Xs1;
% 9.79/9.40 !!Xh Xs1 Xf1 Xs2 Xf2.
% 9.79/9.40 (((bnd_homomorphism Xh Xs1 Xf1 Xs2 Xf2 | ~ bnd_closed Xs1 Xf1) |
% 9.79/9.40 ~ bnd_closed Xs2 Xf2) |
% 9.79/9.40 ~ bnd_maps Xh Xs1 Xs2) |
% 9.79/9.40 bnd_member (bnd_f32 Xh Xs1 Xf1 Xs2 Xf2) Xs1;
% 9.79/9.40 !!Xh Xs1 Xf1 Xs2 Xf2 X Y.
% 9.79/9.40 ((~ bnd_homomorphism Xh Xs1 Xf1 Xs2 Xf2 | ~ bnd_member X Xs1) |
% 9.79/9.40 ~ bnd_member Y Xs1) |
% 9.79/9.40 bnd_apply Xh (bnd_apply_to_two_arguments Xf1 X Y) =
% 9.79/9.40 bnd_apply_to_two_arguments Xf2 (bnd_apply Xh X) (bnd_apply Xh Y);
% 9.79/9.40 !!Xh Xs1 Xf1 Xs2 Xf2.
% 9.79/9.40 ~ bnd_homomorphism Xh Xs1 Xf1 Xs2 Xf2 | bnd_maps Xh Xs1 Xs2;
% 9.79/9.40 !!Xh Xs1 Xf1 Xs2 Xf2.
% 9.79/9.40 ~ bnd_homomorphism Xh Xs1 Xf1 Xs2 Xf2 | bnd_closed Xs2 Xf2;
% 9.79/9.40 !!Xh Xs1 Xf1 Xs2 Xf2.
% 9.79/9.40 ~ bnd_homomorphism Xh Xs1 Xf1 Xs2 Xf2 | bnd_closed Xs1 Xf1;
% 9.79/9.40 !!Z Xf Xg X Y W.
% 9.79/9.40 ((((((bnd_member Z (bnd_compose Xf Xg) | ~ bnd_little_set Z) |
% 9.79/9.40 ~ bnd_little_set X) |
% 9.79/9.40 ~ bnd_little_set Y) |
% 9.79/9.40 ~ bnd_little_set W) |
% 9.79/9.40 ~ Z = bnd_ordered_pair X Y) |
% 9.79/9.40 ~ bnd_member (bnd_ordered_pair X W) Xf) |
% 9.79/9.40 ~ bnd_member (bnd_ordered_pair W Y) Xg;
% 9.79/9.40 !!Z Xf Xg.
% 9.79/9.40 ~ bnd_member Z (bnd_compose Xf Xg) |
% 9.79/9.40 bnd_member (bnd_ordered_pair (bnd_f31 Z Xf Xg) (bnd_f30 Z Xf Xg)) Xg;
% 9.79/9.40 !!Z Xf Xg.
% 9.79/9.40 ~ bnd_member Z (bnd_compose Xf Xg) |
% 9.79/9.40 bnd_member (bnd_ordered_pair (bnd_f29 Z Xf Xg) (bnd_f31 Z Xf Xg)) Xf;
% 9.79/9.40 !!Z Xf Xg.
% 9.79/9.40 ~ bnd_member Z (bnd_compose Xf Xg) |
% 9.79/9.40 Z = bnd_ordered_pair (bnd_f29 Z Xf Xg) (bnd_f30 Z Xf Xg);
% 9.79/9.40 !!Z Xf Xg.
% 9.79/9.40 ~ bnd_member Z (bnd_compose Xf Xg) | bnd_little_set (bnd_f31 Z Xf Xg);
% 9.79/9.40 !!Z Xf Xg.
% 9.79/9.40 ~ bnd_member Z (bnd_compose Xf Xg) | bnd_little_set (bnd_f30 Z Xf Xg);
% 9.79/9.40 !!Z Xf Xg.
% 9.79/9.40 ~ bnd_member Z (bnd_compose Xf Xg) | bnd_little_set (bnd_f29 Z Xf Xg);
% 9.79/9.40 !!Xs Xf.
% 9.79/9.40 ((bnd_closed Xs Xf | ~ bnd_little_set Xs) | ~ bnd_little_set Xf) |
% 9.79/9.40 ~ bnd_maps Xf (bnd_cross_product Xs Xs) Xs;
% 9.79/9.40 !!Xs Xf. ~ bnd_closed Xs Xf | bnd_maps Xf (bnd_cross_product Xs Xs) Xs;
% 9.79/9.40 !!Xs Xf. ~ bnd_closed Xs Xf | bnd_little_set Xf;
% 9.79/9.40 !!Xs Xf. ~ bnd_closed Xs Xf | bnd_little_set Xs;
% 9.79/9.40 !!Xf X Y.
% 9.79/9.40 ((bnd_maps Xf X Y | ~ bnd_function Xf) | ~ bnd_domain_of Xf = X) |
% 9.79/9.40 ~ bnd_subset (bnd_range_of Xf) Y;
% 9.79/9.40 !!Xf X Y. ~ bnd_maps Xf X Y | bnd_subset (bnd_range_of Xf) Y;
% 9.79/9.40 !!Xf X Y. ~ bnd_maps Xf X Y | bnd_domain_of Xf = X;
% 9.79/9.40 !!Xf X Y. ~ bnd_maps Xf X Y | bnd_function Xf;
% 9.79/9.40 !!Xf X Y.
% 9.79/9.40 bnd_apply_to_two_arguments Xf X Y =
% 9.79/9.40 bnd_apply Xf (bnd_ordered_pair X Y);
% 9.79/9.40 !!Z Xf Y W.
% 9.79/9.40 (((bnd_member Z (bnd_apply Xf Y) | ~ bnd_ordered_pair_predicate W) |
% 9.79/9.40 ~ bnd_member W Xf) |
% 9.79/9.40 ~ bnd_first W = Y) |
% 9.79/9.40 ~ bnd_member Z (bnd_second W);
% 9.79/9.40 !!Z Xf Y.
% 9.79/9.40 ~ bnd_member Z (bnd_apply Xf Y) |
% 9.79/9.40 bnd_member Z (bnd_second (bnd_f28 Z Xf Y));
% 9.79/9.40 !!Z Xf Y.
% 9.79/9.40 ~ bnd_member Z (bnd_apply Xf Y) | bnd_first (bnd_f28 Z Xf Y) = Y;
% 9.79/9.40 !!Z Xf Y.
% 9.79/9.40 ~ bnd_member Z (bnd_apply Xf Y) | bnd_member (bnd_f28 Z Xf Y) Xf;
% 9.79/9.40 !!Z Xf Y.
% 9.79/9.40 ~ bnd_member Z (bnd_apply Xf Y) |
% 9.79/9.40 bnd_ordered_pair_predicate (bnd_f28 Z Xf Y);
% 9.79/9.40 !!Xf. (bnd_one_to_one_function Xf | ~ bnd_function Xf) |
% 9.79/9.40 ~ bnd_function (bnd_converse Xf);
% 9.79/9.40 !!Xf. ~ bnd_one_to_one_function Xf | bnd_function (bnd_converse Xf);
% 9.79/9.40 !!Xf. ~ bnd_one_to_one_function Xf | bnd_function Xf;
% 9.79/9.40 !!X Y.
% 9.79/9.40 bnd_restrict X Y =
% 9.79/9.40 bnd_intersection X (bnd_cross_product Y bnd_universal_set);
% 9.79/9.40 !!Z. ((bnd_member Z bnd_identity_relation | ~ bnd_little_set Z) |
% 9.79/9.40 ~ bnd_ordered_pair_predicate Z) |
% 9.79/9.40 ~ bnd_first Z = bnd_second Z;
% 9.79/9.40 !!Z. ~ bnd_member Z bnd_identity_relation | bnd_first Z = bnd_second Z;
% 9.79/9.40 !!Z. ~ bnd_member Z bnd_identity_relation | bnd_ordered_pair_predicate Z;
% 9.79/9.40 !!Z X Xp.
% 9.79/9.40 (((bnd_member Z (bnd_range_of X) | ~ bnd_little_set Z) |
% 9.79/9.40 ~ bnd_ordered_pair_predicate Xp) |
% 9.79/9.40 ~ bnd_member Xp X) |
% 9.79/9.40 ~ Z = bnd_second Xp;
% 9.79/9.40 !!Z X. ~ bnd_member Z (bnd_range_of X) | Z = bnd_second (bnd_f27 Z X);
% 9.79/9.40 !!Z X. ~ bnd_member Z (bnd_range_of X) | bnd_member (bnd_f27 Z X) X;
% 9.79/9.40 !!Z X.
% 9.79/9.40 ~ bnd_member Z (bnd_range_of X) |
% 9.79/9.40 bnd_ordered_pair_predicate (bnd_f27 Z X);
% 9.79/9.40 !!X. (~ bnd_little_set X | X = bnd_empty_set) |
% 9.79/9.40 bnd_member (bnd_ordered_pair X (bnd_f26 X)) bnd_f25;
% 9.79/9.40 !!X. (~ bnd_little_set X | X = bnd_empty_set) | bnd_member (bnd_f26 X) X;
% 9.79/9.40 bnd_function bnd_f25;
% 9.79/9.40 !!X. X = bnd_empty_set | bnd_disjoint (bnd_f24 X) X;
% 9.79/9.40 !!X. X = bnd_empty_set | bnd_member (bnd_f24 X) X;
% 9.79/9.40 !!X Y. bnd_disjoint X Y | bnd_member (bnd_f23 X Y) Y;
% 9.79/9.40 !!X Y. bnd_disjoint X Y | bnd_member (bnd_f23 X Y) X;
% 9.79/9.40 !!X Y U. (~ bnd_disjoint X Y | ~ bnd_member U X) | ~ bnd_member U Y;
% 9.79/9.40 !!X Xf.
% 9.79/9.40 (~ bnd_little_set X | ~ bnd_function Xf) |
% 9.79/9.40 bnd_little_set (bnd_image X Xf);
% 9.79/9.40 !!Z X Xf Y.
% 9.79/9.40 ((((bnd_member Z (bnd_image X Xf) | ~ bnd_little_set Z) |
% 9.79/9.40 ~ bnd_ordered_pair_predicate Y) |
% 9.79/9.40 ~ bnd_member Y Xf) |
% 9.79/9.40 ~ bnd_member (bnd_first Y) X) |
% 9.79/9.40 ~ bnd_second Y = Z;
% 9.79/9.40 !!Z X Xf.
% 9.79/9.40 ~ bnd_member Z (bnd_image X Xf) | bnd_second (bnd_f22 Z X Xf) = Z;
% 9.79/9.40 !!Z X Xf.
% 9.79/9.40 ~ bnd_member Z (bnd_image X Xf) |
% 9.79/9.40 bnd_member (bnd_first (bnd_f22 Z X Xf)) X;
% 9.79/9.40 !!Z X Xf.
% 9.79/9.40 ~ bnd_member Z (bnd_image X Xf) | bnd_member (bnd_f22 Z X Xf) Xf;
% 9.79/9.40 !!Z X Xf.
% 9.79/9.40 ~ bnd_member Z (bnd_image X Xf) |
% 9.89/9.40 bnd_ordered_pair_predicate (bnd_f22 Z X Xf);
% 9.89/9.40 !!Xf. (bnd_function Xf | ~ bnd_relation Xf) | ~ bnd_single_valued_set Xf;
% 9.89/9.40 !!Xf. ~ bnd_function Xf | bnd_single_valued_set Xf;
% 9.89/9.40 !!Xf. ~ bnd_function Xf | bnd_relation Xf;
% 9.89/9.40 !!X. bnd_single_valued_set X | ~ bnd_f20 X = bnd_f21 X;
% 9.89/9.40 !!X. bnd_single_valued_set X |
% 9.89/9.40 bnd_member (bnd_ordered_pair (bnd_f19 X) (bnd_f21 X)) X;
% 9.89/9.40 !!X. bnd_single_valued_set X |
% 9.89/9.40 bnd_member (bnd_ordered_pair (bnd_f19 X) (bnd_f20 X)) X;
% 9.89/9.40 !!X. bnd_single_valued_set X | bnd_little_set (bnd_f21 X);
% 9.89/9.40 !!X. bnd_single_valued_set X | bnd_little_set (bnd_f20 X);
% 9.89/9.40 !!X. bnd_single_valued_set X | bnd_little_set (bnd_f19 X);
% 9.89/9.40 !!X U V W.
% 9.89/9.40 (((((~ bnd_single_valued_set X | ~ bnd_little_set U) |
% 9.89/9.40 ~ bnd_little_set V) |
% 9.89/9.40 ~ bnd_little_set W) |
% 9.89/9.40 ~ bnd_member (bnd_ordered_pair U V) X) |
% 9.89/9.40 ~ bnd_member (bnd_ordered_pair U W) X) |
% 9.89/9.40 V = W;
% 9.89/9.40 !!Z. bnd_relation Z | ~ bnd_ordered_pair_predicate (bnd_f18 Z);
% 9.89/9.40 !!Z. bnd_relation Z | bnd_member (bnd_f18 Z) Z;
% 9.89/9.40 !!Z X.
% 9.89/9.40 (~ bnd_relation Z | ~ bnd_member X Z) | bnd_ordered_pair_predicate X;
% 9.89/9.40 !!U. ~ bnd_little_set U | bnd_little_set (bnd_powerset U);
% 9.89/9.40 !!Z X.
% 9.89/9.40 (bnd_member Z (bnd_powerset X) | ~ bnd_little_set Z) |
% 9.89/9.40 ~ bnd_subset Z X;
% 9.89/9.40 !!Z X. ~ bnd_member Z (bnd_powerset X) | bnd_subset Z X;
% 9.89/9.40 !!X Y. (bnd_proper_subset X Y | ~ bnd_subset X Y) | X = Y;
% 9.89/9.40 !!X Y. ~ bnd_proper_subset X Y | ~ X = Y;
% 9.89/9.40 !!X Y. ~ bnd_proper_subset X Y | bnd_subset X Y;
% 9.89/9.40 !!X Y. bnd_subset X Y | ~ bnd_member (bnd_f17 X Y) Y;
% 9.89/9.40 !!X Y. bnd_subset X Y | bnd_member (bnd_f17 X Y) X;
% 9.89/9.40 !!X Y U. (~ bnd_subset X Y | ~ bnd_member U X) | bnd_member U Y;
% 9.89/9.40 !!U. ~ bnd_little_set U | bnd_little_set (bnd_sigma U);
% 9.89/9.40 !!Z X Y.
% 9.89/9.40 (bnd_member Z (bnd_sigma X) | ~ bnd_member Y X) | ~ bnd_member Z Y;
% 9.89/9.40 !!Z X. ~ bnd_member Z (bnd_sigma X) | bnd_member Z (bnd_f16 Z X);
% 9.89/9.40 !!Z X. ~ bnd_member Z (bnd_sigma X) | bnd_member (bnd_f16 Z X) X;
% 9.89/9.40 !!X. ~ bnd_member X bnd_infinity |
% 9.89/9.40 bnd_member (bnd_successor X) bnd_infinity;
% 9.89/9.40 bnd_member bnd_empty_set bnd_infinity; bnd_little_set bnd_infinity;
% 9.89/9.40 !!Z. bnd_member Z bnd_universal_set | ~ bnd_little_set Z;
% 9.89/9.40 !!Z. ~ bnd_member Z bnd_empty_set;
% 9.89/9.40 !!X. bnd_successor X = bnd_union X (bnd_singleton_set X);
% 9.89/9.40 !!Z X U V W.
% 9.89/9.40 (((((bnd_member Z (bnd_flip_range_of X) | ~ bnd_little_set Z) |
% 9.89/9.40 ~ bnd_little_set U) |
% 9.89/9.40 ~ bnd_little_set V) |
% 9.89/9.40 ~ bnd_little_set W) |
% 9.89/9.40 ~ Z = bnd_ordered_pair U (bnd_ordered_pair V W)) |
% 9.89/9.40 ~ bnd_member (bnd_ordered_pair U (bnd_ordered_pair W V)) X;
% 9.89/9.40 !!Z X.
% 9.89/9.40 ~ bnd_member Z (bnd_flip_range_of X) |
% 9.89/9.40 bnd_member
% 9.89/9.40 (bnd_ordered_pair (bnd_f12 Z X)
% 9.89/9.40 (bnd_ordered_pair (bnd_f14 Z X) (bnd_f13 Z X)))
% 9.89/9.40 X;
% 9.89/9.40 !!Z X.
% 9.89/9.40 ~ bnd_member Z (bnd_flip_range_of X) |
% 9.89/9.40 Z =
% 9.89/9.40 bnd_ordered_pair (bnd_f12 Z X)
% 9.89/9.40 (bnd_ordered_pair (bnd_f13 Z X) (bnd_f14 Z X));
% 9.89/9.40 !!Z X.
% 9.89/9.40 ~ bnd_member Z (bnd_flip_range_of X) | bnd_little_set (bnd_f14 Z X);
% 9.89/9.40 !!Z X.
% 9.89/9.40 ~ bnd_member Z (bnd_flip_range_of X) | bnd_little_set (bnd_f13 Z X);
% 9.89/9.40 !!Z X.
% 9.89/9.40 ~ bnd_member Z (bnd_flip_range_of X) | bnd_little_set (bnd_f12 Z X);
% 9.89/9.40 !!Z X U V W.
% 9.89/9.40 (((((bnd_member Z (bnd_rotate_right X) | ~ bnd_little_set Z) |
% 9.89/9.40 ~ bnd_little_set U) |
% 9.89/9.40 ~ bnd_little_set V) |
% 9.89/9.40 ~ bnd_little_set W) |
% 9.89/9.40 ~ Z = bnd_ordered_pair U (bnd_ordered_pair V W)) |
% 9.89/9.40 ~ bnd_member (bnd_ordered_pair V (bnd_ordered_pair W U)) X;
% 9.89/9.40 !!Z X.
% 9.89/9.40 ~ bnd_member Z (bnd_rotate_right X) |
% 9.89/9.40 bnd_member
% 9.89/9.40 (bnd_ordered_pair (bnd_f10 Z X)
% 9.89/9.40 (bnd_ordered_pair (bnd_f11 Z X) (bnd_f9 Z X)))
% 9.89/9.40 X;
% 9.89/9.40 !!Z X.
% 9.89/9.40 ~ bnd_member Z (bnd_rotate_right X) |
% 9.89/9.40 Z =
% 9.89/9.40 bnd_ordered_pair (bnd_f9 Z X)
% 9.89/9.40 (bnd_ordered_pair (bnd_f10 Z X) (bnd_f11 Z X));
% 9.89/9.40 !!Z X.
% 9.89/9.40 ~ bnd_member Z (bnd_rotate_right X) | bnd_little_set (bnd_f11 Z X);
% 9.89/9.40 !!Z X.
% 9.89/9.40 ~ bnd_member Z (bnd_rotate_right X) | bnd_little_set (bnd_f10 Z X);
% 9.89/9.40 !!Z X. ~ bnd_member Z (bnd_rotate_right X) | bnd_little_set (bnd_f9 Z X);
% 9.89/9.40 !!Z X.
% 9.89/9.40 ((bnd_member Z (bnd_converse X) | ~ bnd_little_set Z) |
% 9.89/9.40 ~ bnd_ordered_pair_predicate Z) |
% 9.89/9.40 ~ bnd_member (bnd_ordered_pair (bnd_second Z) (bnd_first Z)) X;
% 9.89/9.40 !!Z X.
% 9.89/9.40 ~ bnd_member Z (bnd_converse X) |
% 9.89/9.40 bnd_member (bnd_ordered_pair (bnd_second Z) (bnd_first Z)) X;
% 9.89/9.40 !!Z X. ~ bnd_member Z (bnd_converse X) | bnd_ordered_pair_predicate Z;
% 9.89/9.40 !!Z X Y.
% 9.89/9.40 (((bnd_member Z (bnd_cross_product X Y) | ~ bnd_little_set Z) |
% 9.89/9.40 ~ bnd_ordered_pair_predicate Z) |
% 9.89/9.40 ~ bnd_member (bnd_first Z) X) |
% 9.89/9.40 ~ bnd_member (bnd_second Z) Y;
% 9.89/9.40 !!Z X Y.
% 9.89/9.40 ~ bnd_member Z (bnd_cross_product X Y) | bnd_member (bnd_second Z) Y;
% 9.89/9.40 !!Z X Y.
% 9.89/9.40 ~ bnd_member Z (bnd_cross_product X Y) | bnd_member (bnd_first Z) X;
% 9.89/9.40 !!Z X Y.
% 9.89/9.40 ~ bnd_member Z (bnd_cross_product X Y) | bnd_ordered_pair_predicate Z;
% 9.89/9.40 !!Z X Xp.
% 9.89/9.40 (((bnd_member Z (bnd_domain_of X) | ~ bnd_little_set Z) |
% 9.89/9.40 ~ bnd_ordered_pair_predicate Xp) |
% 9.89/9.40 ~ bnd_member Xp X) |
% 9.89/9.40 ~ Z = bnd_first Xp;
% 9.89/9.40 !!Z X. ~ bnd_member Z (bnd_domain_of X) | Z = bnd_first (bnd_f8 Z X);
% 9.89/9.40 !!Z X. ~ bnd_member Z (bnd_domain_of X) | bnd_member (bnd_f8 Z X) X;
% 9.89/9.40 !!Z X.
% 9.89/9.40 ~ bnd_member Z (bnd_domain_of X) |
% 9.89/9.40 bnd_ordered_pair_predicate (bnd_f8 Z X);
% 9.89/9.40 !!X Y.
% 9.89/9.40 bnd_union X Y =
% 9.89/9.40 bnd_complement
% 9.89/9.40 (bnd_intersection (bnd_complement X) (bnd_complement Y));
% 9.89/9.40 !!Z X.
% 9.89/9.40 (bnd_member Z (bnd_complement X) | ~ bnd_little_set Z) |
% 9.89/9.40 bnd_member Z X;
% 9.89/9.40 !!Z X. ~ bnd_member Z (bnd_complement X) | ~ bnd_member Z X;
% 9.89/9.40 !!Z X Y.
% 9.89/9.40 (bnd_member Z (bnd_intersection X Y) | ~ bnd_member Z X) |
% 9.89/9.40 ~ bnd_member Z Y;
% 9.89/9.40 !!Z X Y. ~ bnd_member Z (bnd_intersection X Y) | bnd_member Z Y;
% 9.89/9.40 !!Z X Y. ~ bnd_member Z (bnd_intersection X Y) | bnd_member Z X;
% 9.89/9.40 !!Z. ((bnd_member Z bnd_estin | ~ bnd_little_set Z) |
% 9.89/9.40 ~ bnd_ordered_pair_predicate Z) |
% 9.89/9.40 ~ bnd_member (bnd_first Z) (bnd_second Z);
% 9.89/9.40 !!Z. ~ bnd_member Z bnd_estin | bnd_member (bnd_first Z) (bnd_second Z);
% 9.89/9.40 !!Z. ~ bnd_member Z bnd_estin | bnd_ordered_pair_predicate Z;
% 9.89/9.40 !!Z X U V.
% 9.89/9.40 (((bnd_member Z (bnd_second X) | ~ bnd_little_set U) |
% 9.89/9.40 ~ bnd_little_set V) |
% 9.89/9.40 ~ X = bnd_ordered_pair U V) |
% 9.89/9.40 ~ bnd_member Z V;
% 9.89/9.40 !!Z X. ~ bnd_member Z (bnd_second X) | bnd_member Z (bnd_f7 Z X);
% 9.89/9.40 !!Z X.
% 9.89/9.40 ~ bnd_member Z (bnd_second X) |
% 9.89/9.40 X = bnd_ordered_pair (bnd_f6 Z X) (bnd_f7 Z X);
% 9.89/9.40 !!Z X. ~ bnd_member Z (bnd_second X) | bnd_little_set (bnd_f7 Z X);
% 9.89/9.40 !!Z X. ~ bnd_member Z (bnd_second X) | bnd_little_set (bnd_f6 Z X);
% 9.89/9.40 !!Z X U V.
% 9.89/9.40 (((bnd_member Z (bnd_first X) | ~ bnd_little_set U) |
% 9.89/9.40 ~ bnd_little_set V) |
% 9.89/9.40 ~ X = bnd_ordered_pair U V) |
% 9.89/9.40 ~ bnd_member Z U;
% 9.89/9.40 !!Z X. ~ bnd_member Z (bnd_first X) | bnd_member Z (bnd_f4 Z X);
% 9.89/9.40 !!Z X.
% 9.89/9.40 ~ bnd_member Z (bnd_first X) |
% 9.89/9.40 X = bnd_ordered_pair (bnd_f4 Z X) (bnd_f5 Z X);
% 9.89/9.40 !!Z X. ~ bnd_member Z (bnd_first X) | bnd_little_set (bnd_f5 Z X);
% 9.89/9.40 !!Z X. ~ bnd_member Z (bnd_first X) | bnd_little_set (bnd_f4 Z X);
% 9.89/9.40 !!X Y Z.
% 9.89/9.40 ((bnd_ordered_pair_predicate X | ~ bnd_little_set Y) |
% 9.89/9.40 ~ bnd_little_set Z) |
% 9.89/9.40 ~ X = bnd_ordered_pair Y Z;
% 9.89/9.40 !!X. ~ bnd_ordered_pair_predicate X |
% 9.89/9.40 X = bnd_ordered_pair (bnd_f2 X) (bnd_f3 X);
% 9.89/9.40 !!X. ~ bnd_ordered_pair_predicate X | bnd_little_set (bnd_f3 X);
% 9.89/9.40 !!X. ~ bnd_ordered_pair_predicate X | bnd_little_set (bnd_f2 X);
% 9.89/9.40 !!X Y.
% 9.89/9.40 bnd_ordered_pair X Y =
% 9.89/9.40 bnd_non_ordered_pair (bnd_singleton_set X) (bnd_non_ordered_pair X Y);
% 9.89/9.40 !!X. bnd_singleton_set X = bnd_non_ordered_pair X X;
% 9.89/9.40 !!X Y. bnd_little_set (bnd_non_ordered_pair X Y);
% 9.89/9.40 !!U X Y.
% 9.89/9.40 (bnd_member U (bnd_non_ordered_pair X Y) | ~ bnd_little_set U) |
% 9.89/9.40 ~ U = Y;
% 9.89/9.40 !!U X Y.
% 9.89/9.40 (bnd_member U (bnd_non_ordered_pair X Y) | ~ bnd_little_set U) |
% 9.89/9.40 ~ U = X;
% 9.89/9.40 !!U X Y. (~ bnd_member U (bnd_non_ordered_pair X Y) | U = X) | U = Y;
% 9.89/9.40 !!X Y.
% 9.89/9.40 (~ bnd_member (bnd_f1 X Y) X | ~ bnd_member (bnd_f1 X Y) Y) | X = Y;
% 9.89/9.40 !!X Y. (bnd_member (bnd_f1 X Y) X | bnd_member (bnd_f1 X Y) Y) | X = Y;
% 9.89/9.40 !!X Y. bnd_little_set (bnd_f1 X Y) | X = Y;
% 9.89/9.40 !!X Y. ~ bnd_member X Y | bnd_little_set X |]
% 9.89/9.40 ==> True
% 9.89/9.40 Adding axioms...
% 9.89/9.41 Typedef.type_definition_def
% 27.01/26.59 ...done.
% 27.11/26.62 Ground types: ?'b, TPTP_Interpret.ind
% 27.11/26.62 Translating term (sizes: 1, 1) ...
% 40.74/40.21 Invoking SAT solver...
% 40.74/40.21 No model exists.
% 40.74/40.21 Translating term (sizes: 2, 1) ...
% 55.08/54.54 Invoking SAT solver...
% 55.08/54.54 No model exists.
% 55.08/54.54 Translating term (sizes: 1, 2) ...
% 191.11/189.99 Invoking SAT solver...
% 191.11/189.99 No model exists.
% 191.11/189.99 Translating term (sizes: 3, 1) ...
% 207.93/206.66 Invoking SAT solver...
% 207.93/206.66 No model exists.
% 207.93/206.66 Translating term (sizes: 2, 2) ...
% 300.05/297.92 /export/starexec/sandbox2/solver/lib/scripts/run-polyml-5.5.2: line 82: 4999 CPU time limit exceeded (core dumped) "$ISABELLE_HOME/lib/scripts/feeder" -p -h "$MLTEXT" -t "$MLEXIT" $FEEDER_OPTS
% 300.05/297.92 5000 (core dumped) | { read FPID; "$POLY" -q -i $ML_OPTIONS; RC="$?"; kill -TERM "$FPID"; exit "$RC"; }
% 300.05/297.93 /export/starexec/sandbox2/solver/src/HOL/TPTP/lib/Tools/tptp_refute: line 26: 4945 Exit 152 "$ISABELLE_PROCESS" -q -e "use_thy \"/tmp/$SCRATCH\"; exit 1;" HOL-TPTP
% 300.05/297.93 4946 CPU time limit exceeded (core dumped) | grep --line-buffered -v "^###\|^PROOF FAILED for depth\|^Failure node\|inferences so far. Searching to depth\|^val \|^Loading theory\|^Warning-The type of\|^ monotype.$"
%------------------------------------------------------------------------------