TSTP Solution File: SET109-7 by Refute---2015
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%------------------------------------------------------------------------------
% File : Refute---2015
% Problem : SET109-7 : TPTP v6.4.0. Bugfixed v2.1.0.
% 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 03:09:29 EDT 2016
% Result : Timeout 300.02s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET109-7 : TPTP v6.4.0. Bugfixed v2.1.0.
% 0.00/0.04 % Command : isabelle tptp_refute %d %s
% 0.02/0.23 % Computer : n136.star.cs.uiowa.edu
% 0.02/0.23 % Model : x86_64 x86_64
% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23 % Memory : 32218.75MB
% 0.02/0.23 % 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 14:41:39 CDT 2016
% 0.02/0.24 % CPUTime :
% 6.32/5.84 > val it = (): unit
% 6.71/6.20 Trying to find a model that refutes: True
% 10.44/9.98 Unfolded term: [| ~ bnd_first bnd_x = bnd_x;
% 10.44/9.98 ~ bnd_member (bnd_ordered_pair (bnd_first bnd_x) (bnd_second bnd_x))
% 10.44/9.98 (bnd_cross_product bnd_universal_class bnd_universal_class);
% 10.44/9.98 !!W X Y Z.
% 10.44/9.98 (~ bnd_ordered_pair W X = bnd_ordered_pair Y Z |
% 10.44/9.98 ~ bnd_member X bnd_universal_class) |
% 10.44/9.98 X = Z;
% 10.44/9.98 !!W X Y Z.
% 10.44/9.98 (~ bnd_ordered_pair W X = bnd_ordered_pair Y Z |
% 10.44/9.98 ~ bnd_member W bnd_universal_class) |
% 10.44/9.98 W = Y;
% 10.44/9.98 !!X Y.
% 10.44/9.98 (bnd_unordered_pair bnd_null_class (bnd_singleton bnd_null_class) =
% 10.44/9.98 bnd_ordered_pair X Y |
% 10.44/9.98 bnd_member X bnd_universal_class) |
% 10.44/9.98 bnd_member Y bnd_universal_class;
% 10.44/9.98 !!Y X.
% 10.44/9.98 (~ bnd_member Y bnd_universal_class |
% 10.44/9.98 bnd_unordered_pair bnd_null_class (bnd_singleton (bnd_singleton Y)) =
% 10.44/9.98 bnd_ordered_pair X Y) |
% 10.44/9.98 bnd_member X bnd_universal_class;
% 10.44/9.98 !!X Y.
% 10.44/9.98 bnd_unordered_pair (bnd_singleton X)
% 10.44/9.98 (bnd_unordered_pair X bnd_null_class) =
% 10.44/9.98 bnd_ordered_pair X Y |
% 10.44/9.98 bnd_member Y bnd_universal_class;
% 10.44/9.98 !!X Y.
% 10.44/9.98 bnd_member (bnd_unordered_pair X (bnd_singleton Y))
% 10.44/9.98 (bnd_ordered_pair X Y);
% 10.44/9.98 !!X Y. bnd_member (bnd_singleton X) (bnd_ordered_pair X Y);
% 10.44/9.98 !!X Y. bnd_member (bnd_ordered_pair X Y) bnd_universal_class;
% 10.44/9.98 !!X Y.
% 10.44/9.98 bnd_unordered_pair X Y =
% 10.44/9.98 bnd_union (bnd_singleton X) (bnd_singleton Y);
% 10.44/9.98 !!X. (~ bnd_not_subclass_element
% 10.44/9.98 (bnd_intersection
% 10.44/9.98 (bnd_complement
% 10.44/9.98 (bnd_singleton (bnd_not_subclass_element X bnd_null_class)))
% 10.44/9.98 X)
% 10.44/9.98 bnd_null_class =
% 10.44/9.98 bnd_not_subclass_element X bnd_null_class |
% 10.44/9.98 bnd_singleton (bnd_not_subclass_element X bnd_null_class) = X) |
% 10.44/9.98 X = bnd_null_class;
% 10.44/9.98 !!X. (bnd_member
% 10.44/9.98 (bnd_not_subclass_element
% 10.44/9.98 (bnd_intersection
% 10.44/9.98 (bnd_complement
% 10.44/9.98 (bnd_singleton (bnd_not_subclass_element X bnd_null_class)))
% 10.44/9.98 X)
% 10.44/9.98 bnd_null_class)
% 10.44/9.98 X |
% 10.44/9.98 bnd_singleton (bnd_not_subclass_element X bnd_null_class) = X) |
% 10.44/9.98 X = bnd_null_class;
% 10.44/9.98 !!X. (bnd_member
% 10.44/9.98 (bnd_not_subclass_element
% 10.44/9.98 (bnd_intersection
% 10.44/9.98 (bnd_complement
% 10.44/9.98 (bnd_singleton (bnd_not_subclass_element X bnd_null_class)))
% 10.44/9.98 X)
% 10.44/9.98 bnd_null_class)
% 10.44/9.98 (bnd_intersection
% 10.44/9.98 (bnd_complement
% 10.44/9.98 (bnd_singleton (bnd_not_subclass_element X bnd_null_class)))
% 10.44/9.98 X) |
% 10.44/9.98 bnd_singleton (bnd_not_subclass_element X bnd_null_class) = X) |
% 10.44/9.98 X = bnd_null_class;
% 10.44/9.98 !!X Y.
% 10.44/9.98 (~ bnd_subclass X (bnd_singleton Y) | X = bnd_null_class) |
% 10.44/9.98 bnd_singleton Y = X;
% 10.44/9.98 !!X Y. ~ bnd_member X Y | bnd_subclass (bnd_singleton X) Y;
% 10.44/9.98 !!X Y.
% 10.44/9.98 (~ bnd_singleton (bnd_member_of X) = X | ~ bnd_member Y X) |
% 10.44/9.98 bnd_member_of X = Y;
% 10.44/9.98 !!X. ~ bnd_singleton (bnd_member_of X) = X |
% 10.44/9.98 bnd_member X bnd_universal_class;
% 10.44/9.98 !!X. bnd_singleton (bnd_member_of1 X) = X | bnd_member_of X = X;
% 10.44/9.98 !!X. bnd_member (bnd_member_of1 X) bnd_universal_class |
% 10.44/9.98 bnd_member_of X = X;
% 10.44/9.98 !!U. ~ bnd_member U bnd_universal_class |
% 10.44/9.98 bnd_member_of (bnd_singleton U) = U;
% 10.44/9.98 !!X. bnd_singleton (bnd_member_of X) = X | bnd_member_of X = X;
% 10.44/9.98 !!X. bnd_member (bnd_member_of X) bnd_universal_class |
% 10.44/9.98 bnd_member_of X = X;
% 10.44/9.98 !!Y. ~ bnd_member Y bnd_universal_class |
% 10.44/9.98 bnd_singleton (bnd_member_of (bnd_singleton Y)) = bnd_singleton Y;
% 10.44/9.98 !!Y. ~ bnd_member Y bnd_universal_class |
% 10.44/9.98 bnd_member (bnd_member_of (bnd_singleton Y)) bnd_universal_class;
% 10.44/9.98 !!Y Z X.
% 10.44/9.98 ((~ bnd_unordered_pair Y Z = bnd_singleton X |
% 10.44/9.98 ~ bnd_member X bnd_universal_class) |
% 10.44/9.98 X = Y) |
% 10.44/9.98 X = Z;
% 10.44/9.98 !!X Y.
% 10.44/9.98 (~ bnd_singleton X = bnd_singleton Y |
% 10.44/9.98 ~ bnd_member Y bnd_universal_class) |
% 10.44/9.98 X = Y;
% 10.44/9.98 !!X Y.
% 10.44/9.98 (~ bnd_singleton X = bnd_singleton Y |
% 10.44/9.98 ~ bnd_member X bnd_universal_class) |
% 10.44/9.98 X = Y;
% 10.44/9.98 !!X. bnd_member X bnd_universal_class | bnd_singleton X = bnd_null_class;
% 10.44/9.98 !!Y X. ~ bnd_member Y (bnd_singleton X) | Y = X;
% 10.44/9.98 bnd_member bnd_null_class (bnd_singleton bnd_null_class);
% 10.44/9.98 !!X. ~ bnd_member X bnd_universal_class |
% 10.44/9.98 ~ bnd_singleton X = bnd_null_class;
% 10.44/9.98 !!X. ~ bnd_member X bnd_universal_class | bnd_member X (bnd_singleton X);
% 10.44/9.98 !!Y X.
% 10.44/9.98 bnd_member (bnd_singleton Y) (bnd_unordered_pair X (bnd_singleton Y));
% 10.44/9.98 !!X. bnd_member (bnd_singleton X) bnd_universal_class;
% 10.44/9.98 !!X Z Y.
% 10.44/9.98 (~ bnd_member X Z | ~ bnd_member Y Z) |
% 10.44/9.98 bnd_subclass (bnd_unordered_pair X Y) Z;
% 10.44/9.98 !!X Y U V.
% 10.44/9.98 ~ bnd_member (bnd_ordered_pair X Y) (bnd_cross_product U V) |
% 10.44/9.98 ~ bnd_unordered_pair X Y = bnd_null_class;
% 10.44/9.98 !!Y X.
% 10.44/9.98 ~ bnd_member Y bnd_universal_class |
% 10.44/9.98 ~ bnd_unordered_pair X Y = bnd_null_class;
% 10.44/9.98 !!X Y.
% 10.44/9.98 ~ bnd_member X bnd_universal_class |
% 10.44/9.98 ~ bnd_unordered_pair X Y = bnd_null_class;
% 10.44/9.98 !!X Z Y.
% 10.44/9.98 (~ bnd_unordered_pair X Z = bnd_unordered_pair Y Z |
% 10.44/9.98 ~ bnd_member (bnd_ordered_pair X Y)
% 10.44/9.98 (bnd_cross_product bnd_universal_class bnd_universal_class)) |
% 10.44/9.98 X = Y;
% 10.44/9.98 !!X Y Z.
% 10.44/9.98 (~ bnd_unordered_pair X Y = bnd_unordered_pair X Z |
% 10.44/9.98 ~ bnd_member (bnd_ordered_pair Y Z)
% 10.44/9.98 (bnd_cross_product bnd_universal_class bnd_universal_class)) |
% 10.44/9.98 Y = Z;
% 10.44/9.98 !!X Y.
% 10.44/9.98 (bnd_unordered_pair X Y = bnd_null_class |
% 10.44/9.98 bnd_member X bnd_universal_class) |
% 10.44/9.98 bnd_member Y bnd_universal_class;
% 10.44/9.98 !!X Y.
% 10.44/9.98 bnd_member X bnd_universal_class |
% 10.44/9.98 bnd_unordered_pair X Y = bnd_singleton Y;
% 10.44/9.98 !!Y X.
% 10.44/9.98 bnd_member Y bnd_universal_class |
% 10.44/9.98 bnd_unordered_pair X Y = bnd_singleton X;
% 10.44/9.98 !!Y X. bnd_subclass (bnd_singleton Y) (bnd_unordered_pair X Y);
% 10.44/9.98 !!X Y. bnd_subclass (bnd_singleton X) (bnd_unordered_pair X Y);
% 10.44/9.98 !!X Y. bnd_unordered_pair X Y = bnd_unordered_pair Y X;
% 10.44/9.98 bnd_member bnd_null_class bnd_universal_class;
% 10.44/9.98 !!Z. Z = bnd_null_class |
% 10.44/9.98 bnd_member (bnd_not_subclass_element Z bnd_null_class) Z;
% 10.44/9.98 !!X. ~ bnd_subclass X bnd_null_class | X = bnd_null_class;
% 10.44/9.98 !!X. bnd_subclass bnd_null_class X; !!Z. ~ bnd_member Z bnd_null_class;
% 10.44/9.98 !!Y X. ~ bnd_member Y (bnd_intersection (bnd_complement X) X);
% 10.44/9.98 !!X Y.
% 10.44/9.98 (~ bnd_member (bnd_not_subclass_element X Y) Y |
% 10.44/9.98 ~ bnd_member (bnd_not_subclass_element Y X) X) |
% 10.44/9.98 X = Y;
% 10.44/9.98 !!Y X.
% 10.44/9.98 (~ bnd_member (bnd_not_subclass_element Y X) X | X = Y) |
% 10.44/9.98 bnd_member (bnd_not_subclass_element X Y) X;
% 10.44/9.98 !!X Y.
% 10.44/9.98 (~ bnd_member (bnd_not_subclass_element X Y) Y | X = Y) |
% 10.44/9.98 bnd_member (bnd_not_subclass_element Y X) Y;
% 10.44/9.98 !!X Y.
% 10.44/9.98 (X = Y | bnd_member (bnd_not_subclass_element X Y) X) |
% 10.44/9.98 bnd_member (bnd_not_subclass_element Y X) Y;
% 10.44/9.98 !!X Y Z. (~ bnd_subclass X Y | ~ bnd_subclass Y Z) | bnd_subclass X Z;
% 10.44/9.98 !!X. bnd_subclass X X;
% 10.44/9.98 !!U V X Y.
% 10.44/9.98 ~ bnd_member (bnd_ordered_pair U V) (bnd_cross_product X Y) |
% 10.44/9.98 bnd_member V bnd_universal_class;
% 10.44/9.98 !!U V X Y.
% 10.44/9.98 ~ bnd_member (bnd_ordered_pair U V) (bnd_cross_product X Y) |
% 10.44/9.98 bnd_member U bnd_universal_class;
% 10.44/9.98 !!X Y U V.
% 10.44/9.98 ~ bnd_member (bnd_ordered_pair X Y) (bnd_cross_product U V) |
% 10.44/9.98 bnd_member Y (bnd_unordered_pair X Y);
% 10.44/9.98 !!X Y U V.
% 10.44/9.98 ~ bnd_member (bnd_ordered_pair X Y) (bnd_cross_product U V) |
% 10.44/9.98 bnd_member X (bnd_unordered_pair X Y);
% 10.44/9.98 !!Xf1 Xf2 Xh.
% 10.44/9.98 (((~ bnd_operation Xf1 | ~ bnd_operation Xf2) |
% 10.44/9.98 ~ bnd_compatible Xh Xf1 Xf2) |
% 10.44/9.98 ~ bnd_apply Xf2
% 10.44/9.98 (bnd_ordered_pair
% 10.44/9.98 (bnd_apply Xh (bnd_not_homomorphism1 Xh Xf1 Xf2))
% 10.44/9.98 (bnd_apply Xh (bnd_not_homomorphism2 Xh Xf1 Xf2))) =
% 10.44/9.98 bnd_apply Xh
% 10.44/9.98 (bnd_apply Xf1
% 10.44/9.98 (bnd_ordered_pair (bnd_not_homomorphism1 Xh Xf1 Xf2)
% 10.44/9.98 (bnd_not_homomorphism2 Xh Xf1 Xf2)))) |
% 10.44/9.98 bnd_homomorphism Xh Xf1 Xf2;
% 10.44/9.98 !!Xf1 Xf2 Xh.
% 10.44/9.98 (((~ bnd_operation Xf1 | ~ bnd_operation Xf2) |
% 10.44/9.98 ~ bnd_compatible Xh Xf1 Xf2) |
% 10.44/9.98 bnd_member
% 10.44/9.98 (bnd_ordered_pair (bnd_not_homomorphism1 Xh Xf1 Xf2)
% 10.44/9.98 (bnd_not_homomorphism2 Xh Xf1 Xf2))
% 10.44/9.98 (bnd_domain_of Xf1)) |
% 10.44/9.98 bnd_homomorphism Xh Xf1 Xf2;
% 10.44/9.98 !!Xh Xf1 Xf2 X Y.
% 10.44/9.98 (~ bnd_homomorphism Xh Xf1 Xf2 |
% 10.44/9.98 ~ bnd_member (bnd_ordered_pair X Y) (bnd_domain_of Xf1)) |
% 10.44/9.98 bnd_apply Xf2 (bnd_ordered_pair (bnd_apply Xh X) (bnd_apply Xh Y)) =
% 10.44/9.98 bnd_apply Xh (bnd_apply Xf1 (bnd_ordered_pair X Y));
% 10.44/9.98 !!Xh Xf1 Xf2. ~ bnd_homomorphism Xh Xf1 Xf2 | bnd_compatible Xh Xf1 Xf2;
% 10.44/9.98 !!Xh Xf1 Xf2. ~ bnd_homomorphism Xh Xf1 Xf2 | bnd_operation Xf2;
% 10.44/9.98 !!Xh Xf1 Xf2. ~ bnd_homomorphism Xh Xf1 Xf2 | bnd_operation Xf1;
% 10.44/9.98 !!Xh Xf1 Xf2.
% 10.44/9.98 ((~ bnd_function Xh |
% 10.44/9.98 ~ bnd_domain_of (bnd_domain_of Xf1) = bnd_domain_of Xh) |
% 10.44/9.98 ~ bnd_subclass (bnd_range_of Xh)
% 10.44/9.98 (bnd_domain_of (bnd_domain_of Xf2))) |
% 10.44/9.98 bnd_compatible Xh Xf1 Xf2;
% 10.44/9.98 !!Xh Xf1 Xf2.
% 10.44/9.98 ~ bnd_compatible Xh Xf1 Xf2 |
% 10.44/9.98 bnd_subclass (bnd_range_of Xh) (bnd_domain_of (bnd_domain_of Xf2));
% 10.44/9.98 !!Xh Xf1 Xf2.
% 10.44/9.98 ~ bnd_compatible Xh Xf1 Xf2 |
% 10.44/9.98 bnd_domain_of (bnd_domain_of Xf1) = bnd_domain_of Xh;
% 10.44/9.98 !!Xh Xf1 Xf2. ~ bnd_compatible Xh Xf1 Xf2 | bnd_function Xh;
% 10.44/9.98 !!Xf. ((~ bnd_function Xf |
% 10.44/9.98 ~ bnd_cross_product (bnd_domain_of (bnd_domain_of Xf))
% 10.44/9.98 (bnd_domain_of (bnd_domain_of Xf)) =
% 10.44/9.98 bnd_domain_of Xf) |
% 10.44/9.98 ~ bnd_subclass (bnd_range_of Xf)
% 10.44/9.98 (bnd_domain_of (bnd_domain_of Xf))) |
% 10.44/9.98 bnd_operation Xf;
% 10.44/9.98 !!Xf. ~ bnd_operation Xf |
% 10.44/9.98 bnd_subclass (bnd_range_of Xf) (bnd_domain_of (bnd_domain_of Xf));
% 10.44/9.98 !!Xf. ~ bnd_operation Xf |
% 10.44/9.98 bnd_cross_product (bnd_domain_of (bnd_domain_of Xf))
% 10.44/9.98 (bnd_domain_of (bnd_domain_of Xf)) =
% 10.44/9.98 bnd_domain_of Xf;
% 10.44/9.98 !!Xf. ~ bnd_operation Xf | bnd_function Xf;
% 10.44/9.98 !!X. bnd_intersection (bnd_domain_of X)
% 10.44/9.98 (bnd_diagonalise
% 10.44/9.98 (bnd_compose (bnd_inverse bnd_element_relation) X)) =
% 10.44/9.98 bnd_cantor X;
% 10.44/9.98 !!Xr. bnd_complement
% 10.44/9.98 (bnd_domain_of (bnd_intersection Xr bnd_identity_relation)) =
% 10.44/9.98 bnd_diagonalise Xr;
% 10.44/9.98 bnd_intersection (bnd_inverse bnd_subset_relation) bnd_subset_relation =
% 10.44/9.98 bnd_identity_relation;
% 10.44/9.98 bnd_intersection
% 10.44/9.98 (bnd_cross_product bnd_universal_class bnd_universal_class)
% 10.44/9.98 (bnd_intersection
% 10.44/9.98 (bnd_cross_product bnd_universal_class bnd_universal_class)
% 10.44/9.98 (bnd_complement
% 10.44/9.98 (bnd_compose (bnd_complement bnd_element_relation)
% 10.44/9.98 (bnd_inverse bnd_element_relation)))) =
% 10.44/9.98 bnd_subset_relation;
% 10.44/9.98 !!Xf. (~ bnd_function (bnd_inverse Xf) | ~ bnd_function Xf) |
% 10.44/9.98 bnd_one_to_one Xf;
% 10.44/9.98 !!Xf. ~ bnd_one_to_one Xf | bnd_function (bnd_inverse Xf);
% 10.44/9.98 !!Xf. ~ bnd_one_to_one Xf | bnd_function Xf;
% 10.44/9.98 !!Y. (~ bnd_member Y bnd_universal_class | Y = bnd_null_class) |
% 10.44/9.98 bnd_member (bnd_apply bnd_choice Y) Y;
% 10.44/9.98 bnd_function bnd_choice;
% 10.44/9.98 !!Xf Y. bnd_sum_class (bnd_image Xf (bnd_singleton Y)) = bnd_apply Xf Y;
% 10.44/9.98 !!X. X = bnd_null_class |
% 10.44/9.98 bnd_intersection X (bnd_regular X) = bnd_null_class;
% 10.44/9.98 !!X. X = bnd_null_class | bnd_member (bnd_regular X) X;
% 10.44/9.98 !!Xf X.
% 10.44/9.98 (~ bnd_function Xf | ~ bnd_member X bnd_universal_class) |
% 10.44/9.98 bnd_member (bnd_image Xf X) bnd_universal_class;
% 10.44/9.98 !!Xf. (~ bnd_subclass Xf
% 10.44/9.98 (bnd_cross_product bnd_universal_class bnd_universal_class) |
% 10.44/9.98 ~ bnd_subclass (bnd_compose Xf (bnd_inverse Xf))
% 10.44/9.98 bnd_identity_relation) |
% 10.44/9.98 bnd_function Xf;
% 10.44/9.98 !!Xf. ~ bnd_function Xf |
% 10.44/9.98 bnd_subclass (bnd_compose Xf (bnd_inverse Xf))
% 10.44/9.98 bnd_identity_relation;
% 10.44/9.98 !!Xf. ~ bnd_function Xf |
% 10.44/9.98 bnd_subclass Xf
% 10.44/9.98 (bnd_cross_product bnd_universal_class bnd_universal_class);
% 10.44/9.98 !!X. ~ bnd_subclass (bnd_compose X (bnd_inverse X))
% 10.44/9.98 bnd_identity_relation |
% 10.44/9.98 bnd_single_valued_class X;
% 10.44/9.98 !!X. ~ bnd_single_valued_class X |
% 10.44/9.98 bnd_subclass (bnd_compose X (bnd_inverse X)) bnd_identity_relation;
% 10.44/9.98 !!Z Yr Xr Y.
% 10.44/9.98 (~ bnd_member Z (bnd_image Yr (bnd_image Xr (bnd_singleton Y))) |
% 10.44/9.98 ~ bnd_member (bnd_ordered_pair Y Z)
% 10.44/9.98 (bnd_cross_product bnd_universal_class bnd_universal_class)) |
% 10.44/9.98 bnd_member (bnd_ordered_pair Y Z) (bnd_compose Yr Xr);
% 10.44/9.98 !!Y Z Yr Xr.
% 10.44/9.98 ~ bnd_member (bnd_ordered_pair Y Z) (bnd_compose Yr Xr) |
% 10.44/9.98 bnd_member Z (bnd_image Yr (bnd_image Xr (bnd_singleton Y)));
% 10.44/9.98 !!Yr Xr.
% 10.44/9.98 bnd_subclass (bnd_compose Yr Xr)
% 10.44/9.98 (bnd_cross_product bnd_universal_class bnd_universal_class);
% 10.44/9.98 !!U. ~ bnd_member U bnd_universal_class |
% 10.44/9.98 bnd_member (bnd_power_class U) bnd_universal_class;
% 10.44/9.98 !!X. bnd_complement (bnd_image bnd_element_relation (bnd_complement X)) =
% 10.44/9.98 bnd_power_class X;
% 10.44/9.98 !!X. ~ bnd_member X bnd_universal_class |
% 10.44/9.98 bnd_member (bnd_sum_class X) bnd_universal_class;
% 10.44/9.98 !!X. bnd_domain_of
% 10.44/9.98 (bnd_restrict bnd_element_relation bnd_universal_class X) =
% 10.44/9.98 bnd_sum_class X;
% 10.44/9.98 bnd_member bnd_omega bnd_universal_class;
% 10.44/9.98 !!Y. ~ bnd_inductive Y | bnd_subclass bnd_omega Y;
% 10.44/9.98 bnd_inductive bnd_omega;
% 10.44/9.98 !!X. (~ bnd_member bnd_null_class X |
% 10.44/9.98 ~ bnd_subclass (bnd_image bnd_successor_relation X) X) |
% 10.44/9.98 bnd_inductive X;
% 10.44/9.98 !!X. ~ bnd_inductive X |
% 10.44/9.98 bnd_subclass (bnd_image bnd_successor_relation X) X;
% 10.44/9.98 !!X. ~ bnd_inductive X | bnd_member bnd_null_class X;
% 10.44/9.98 !!X Y.
% 10.44/9.98 (~ bnd_successor X = Y |
% 10.44/9.98 ~ bnd_member (bnd_ordered_pair X Y)
% 10.44/9.98 (bnd_cross_product bnd_universal_class bnd_universal_class)) |
% 10.44/9.98 bnd_member (bnd_ordered_pair X Y) bnd_successor_relation;
% 10.44/9.98 !!X Y.
% 10.44/9.98 ~ bnd_member (bnd_ordered_pair X Y) bnd_successor_relation |
% 10.44/9.98 bnd_successor X = Y;
% 10.44/9.98 bnd_subclass bnd_successor_relation
% 10.44/9.98 (bnd_cross_product bnd_universal_class bnd_universal_class);
% 10.44/9.98 !!X. bnd_union X (bnd_singleton X) = bnd_successor X;
% 10.44/9.98 !!Xr X.
% 10.44/9.98 bnd_range_of (bnd_restrict Xr X bnd_universal_class) = bnd_image Xr X;
% 10.44/9.98 !!Z X Y.
% 10.44/9.98 bnd_second
% 10.44/9.98 (bnd_not_subclass_element (bnd_restrict Z (bnd_singleton X) Y)
% 10.44/9.98 bnd_null_class) =
% 10.44/9.98 bnd_range Z X Y;
% 10.44/9.98 !!Z X Y.
% 10.44/9.98 bnd_first
% 10.44/9.98 (bnd_not_subclass_element (bnd_restrict Z X (bnd_singleton Y))
% 10.44/9.98 bnd_null_class) =
% 10.44/9.98 bnd_domain Z X Y;
% 10.44/9.98 !!Z. bnd_domain_of (bnd_inverse Z) = bnd_range_of Z;
% 10.44/9.98 !!Y. bnd_domain_of (bnd_flip (bnd_cross_product Y bnd_universal_class)) =
% 10.44/9.98 bnd_inverse Y;
% 10.44/9.98 !!V U W X.
% 10.44/9.98 (~ bnd_member (bnd_ordered_pair (bnd_ordered_pair V U) W) X |
% 10.44/9.98 ~ bnd_member (bnd_ordered_pair (bnd_ordered_pair U V) W)
% 10.44/9.98 (bnd_cross_product
% 10.44/9.98 (bnd_cross_product bnd_universal_class bnd_universal_class)
% 10.44/9.98 bnd_universal_class)) |
% 10.44/9.98 bnd_member (bnd_ordered_pair (bnd_ordered_pair U V) W) (bnd_flip X);
% 10.44/9.98 !!U V W X.
% 10.44/9.98 ~ bnd_member (bnd_ordered_pair (bnd_ordered_pair U V) W)
% 10.44/9.98 (bnd_flip X) |
% 10.44/9.98 bnd_member (bnd_ordered_pair (bnd_ordered_pair V U) W) X;
% 10.44/9.98 !!X. bnd_subclass (bnd_flip X)
% 10.44/9.98 (bnd_cross_product
% 10.44/9.98 (bnd_cross_product bnd_universal_class bnd_universal_class)
% 10.44/9.98 bnd_universal_class);
% 10.44/9.98 !!V W U X.
% 10.44/9.98 (~ bnd_member (bnd_ordered_pair (bnd_ordered_pair V W) U) X |
% 10.44/9.98 ~ bnd_member (bnd_ordered_pair (bnd_ordered_pair U V) W)
% 10.44/9.98 (bnd_cross_product
% 10.44/9.98 (bnd_cross_product bnd_universal_class bnd_universal_class)
% 10.44/9.98 bnd_universal_class)) |
% 10.44/9.98 bnd_member (bnd_ordered_pair (bnd_ordered_pair U V) W) (bnd_rotate X);
% 10.44/9.98 !!U V W X.
% 10.44/9.98 ~ bnd_member (bnd_ordered_pair (bnd_ordered_pair U V) W)
% 10.44/9.98 (bnd_rotate X) |
% 10.44/9.98 bnd_member (bnd_ordered_pair (bnd_ordered_pair V W) U) X;
% 10.44/9.98 !!X. bnd_subclass (bnd_rotate X)
% 10.44/9.98 (bnd_cross_product
% 10.44/9.98 (bnd_cross_product bnd_universal_class bnd_universal_class)
% 10.44/9.98 bnd_universal_class);
% 10.44/9.98 !!Z X.
% 10.44/9.98 (~ bnd_member Z bnd_universal_class |
% 10.44/9.98 bnd_restrict X (bnd_singleton Z) bnd_universal_class =
% 10.44/9.98 bnd_null_class) |
% 10.44/9.98 bnd_member Z (bnd_domain_of X);
% 10.44/9.98 !!X Z.
% 10.44/9.98 ~ bnd_restrict X (bnd_singleton Z) bnd_universal_class =
% 10.44/9.98 bnd_null_class |
% 10.44/9.98 ~ bnd_member Z (bnd_domain_of X);
% 10.44/9.98 !!X Y Xr.
% 10.44/9.98 bnd_intersection (bnd_cross_product X Y) Xr = bnd_restrict Xr X Y;
% 10.44/9.98 !!Xr X Y.
% 10.44/9.98 bnd_intersection Xr (bnd_cross_product X Y) = bnd_restrict Xr X Y;
% 10.44/9.98 !!X Y.
% 10.44/9.98 bnd_intersection (bnd_complement (bnd_intersection X Y))
% 10.44/9.98 (bnd_complement
% 10.44/9.98 (bnd_intersection (bnd_complement X) (bnd_complement Y))) =
% 10.44/9.98 bnd_symmetric_difference X Y;
% 10.44/9.98 !!X Y.
% 10.44/9.98 bnd_complement
% 10.44/9.98 (bnd_intersection (bnd_complement X) (bnd_complement Y)) =
% 10.44/9.98 bnd_union X Y;
% 10.44/9.98 !!Z X.
% 10.44/9.98 (~ bnd_member Z bnd_universal_class |
% 10.44/9.98 bnd_member Z (bnd_complement X)) |
% 10.44/9.98 bnd_member Z X;
% 10.44/9.98 !!Z X. ~ bnd_member Z (bnd_complement X) | ~ bnd_member Z X;
% 10.44/9.98 !!Z X Y.
% 10.44/9.98 (~ bnd_member Z X | ~ bnd_member Z Y) |
% 10.44/9.98 bnd_member Z (bnd_intersection X Y);
% 10.44/9.98 !!Z X Y. ~ bnd_member Z (bnd_intersection X Y) | bnd_member Z Y;
% 10.44/9.98 !!Z X Y. ~ bnd_member Z (bnd_intersection X Y) | bnd_member Z X;
% 10.44/9.98 !!X Y.
% 10.44/9.98 (~ bnd_member (bnd_ordered_pair X Y)
% 10.44/9.98 (bnd_cross_product bnd_universal_class bnd_universal_class) |
% 10.44/9.98 ~ bnd_member X Y) |
% 10.44/9.98 bnd_member (bnd_ordered_pair X Y) bnd_element_relation;
% 10.44/9.98 !!X Y.
% 10.44/9.98 ~ bnd_member (bnd_ordered_pair X Y) bnd_element_relation |
% 10.44/9.98 bnd_member X Y;
% 10.44/9.98 bnd_subclass bnd_element_relation
% 10.44/9.98 (bnd_cross_product bnd_universal_class bnd_universal_class);
% 10.44/9.98 !!Z X Y.
% 10.44/9.98 ~ bnd_member Z (bnd_cross_product X Y) |
% 10.44/9.98 bnd_ordered_pair (bnd_first Z) (bnd_second Z) = Z;
% 10.44/9.98 !!U X V Y.
% 10.44/9.98 (~ bnd_member U X | ~ bnd_member V Y) |
% 10.44/9.98 bnd_member (bnd_ordered_pair U V) (bnd_cross_product X Y);
% 10.44/9.98 !!U V X Y.
% 10.44/9.98 ~ bnd_member (bnd_ordered_pair U V) (bnd_cross_product X Y) |
% 10.44/9.98 bnd_member V Y;
% 10.44/9.98 !!U V X Y.
% 10.44/9.98 ~ bnd_member (bnd_ordered_pair U V) (bnd_cross_product X Y) |
% 10.44/9.98 bnd_member U X;
% 10.44/9.98 !!X Y.
% 10.44/9.98 bnd_unordered_pair (bnd_singleton X)
% 10.44/9.98 (bnd_unordered_pair X (bnd_singleton Y)) =
% 10.44/9.98 bnd_ordered_pair X Y;
% 10.44/9.98 !!X. bnd_unordered_pair X X = bnd_singleton X;
% 10.44/9.98 !!X Y. bnd_member (bnd_unordered_pair X Y) bnd_universal_class;
% 10.44/9.98 !!Y X.
% 10.44/9.98 ~ bnd_member Y bnd_universal_class |
% 10.44/9.98 bnd_member Y (bnd_unordered_pair X Y);
% 10.44/9.98 !!X Y.
% 10.44/9.98 ~ bnd_member X bnd_universal_class |
% 10.44/9.98 bnd_member X (bnd_unordered_pair X Y);
% 10.44/9.98 !!U X Y. (~ bnd_member U (bnd_unordered_pair X Y) | U = X) | U = Y;
% 10.44/9.98 !!X Y. (~ bnd_subclass X Y | ~ bnd_subclass Y X) | X = Y;
% 10.44/9.98 !!X Y. ~ X = Y | bnd_subclass Y X; !!X Y. ~ X = Y | bnd_subclass X Y;
% 10.44/9.98 !!X. bnd_subclass X bnd_universal_class;
% 10.44/9.98 !!X Y. ~ bnd_member (bnd_not_subclass_element X Y) Y | bnd_subclass X Y;
% 10.44/9.98 !!X Y. bnd_member (bnd_not_subclass_element X Y) X | bnd_subclass X Y;
% 10.44/9.98 !!X Y U. (~ bnd_subclass X Y | ~ bnd_member U X) | bnd_member U Y |]
% 10.44/9.98 ==> True
% 10.44/9.98 Adding axioms...
% 10.44/9.99 Typedef.type_definition_def
% 30.05/29.52 ...done.
% 30.05/29.55 Ground types: ?'b, TPTP_Interpret.ind
% 30.05/29.55 Translating term (sizes: 1, 1) ...
% 42.97/42.45 Invoking SAT solver...
% 42.97/42.46 No model exists.
% 42.97/42.46 Translating term (sizes: 2, 1) ...
% 56.62/56.04 Invoking SAT solver...
% 56.62/56.04 No model exists.
% 56.62/56.04 Translating term (sizes: 1, 2) ...
% 128.21/127.50 Invoking SAT solver...
% 128.21/127.50 No model exists.
% 128.21/127.50 Translating term (sizes: 3, 1) ...
% 144.37/143.53 Invoking SAT solver...
% 144.37/143.53 No model exists.
% 144.37/143.53 Translating term (sizes: 2, 2) ...
% 224.14/222.90 Invoking SAT solver...
% 224.14/222.90 No model exists.
% 224.14/222.90 Translating term (sizes: 1, 3) ...
% 300.02/298.22 /export/starexec/sandbox/solver/lib/scripts/run-polyml-5.5.2: line 82: 42963 CPU time limit exceeded (core dumped) "$ISABELLE_HOME/lib/scripts/feeder" -p -h "$MLTEXT" -t "$MLEXIT" $FEEDER_OPTS
% 300.02/298.22 42964 (core dumped) | { read FPID; "$POLY" -q -i $ML_OPTIONS; RC="$?"; kill -TERM "$FPID"; exit "$RC"; }
% 300.02/298.23 /export/starexec/sandbox/solver/src/HOL/TPTP/lib/Tools/tptp_refute: line 26: 42909 Exit 152 "$ISABELLE_PROCESS" -q -e "use_thy \"/tmp/$SCRATCH\"; exit 1;" HOL-TPTP
% 300.02/298.23 42910 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.$"
%------------------------------------------------------------------------------