%------------------------------------------------------------------------------ % File : Refute---2015 % Problem : SET294-6 : TPTP v6.4.0. Bugfixed v2.1.0. % Transfm : none % Format : tptp:raw % Command : isabelle tptp_refute %d %s % Computer : n063.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 03:09:57 EDT 2016 % Result : Timeout 300.11s % 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 : SET294-6 : TPTP v6.4.0. Bugfixed v2.1.0. % 0.00/0.04 % Command : isabelle tptp_refute %d %s % 0.03/0.23 % Computer : n063.star.cs.uiowa.edu % 0.03/0.23 % Model : x86_64 x86_64 % 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz % 0.03/0.23 % Memory : 32218.75MB % 0.03/0.23 % OS : Linux 3.10.0-327.10.1.el7.x86_64 % 0.03/0.23 % CPULimit : 300 % 0.03/0.23 % DateTime : Thu Apr 7 18:02:10 CDT 2016 % 0.03/0.23 % CPUTime : % 8.27/5.85 > val it = (): unit % 8.68/6.21 Trying to find a model that refutes: True % 11.59/9.18 Unfolded term: [| ~ bnd_union (bnd_inverse bnd_x) (bnd_inverse bnd_y) = % 11.59/9.18 bnd_inverse (bnd_union bnd_x bnd_y); % 11.59/9.18 !!Xf Y. % 11.59/9.18 (~ bnd_function Xf | ~ bnd_subclass (bnd_range_of Xf) Y) | % 11.59/9.18 bnd_maps Xf (bnd_domain_of Xf) Y; % 11.59/9.18 !!Xf X Y. ~ bnd_maps Xf X Y | bnd_subclass (bnd_range_of Xf) Y; % 11.59/9.18 !!Xf X Y. ~ bnd_maps Xf X Y | bnd_domain_of Xf = X; % 11.59/9.18 !!Xf X Y. ~ bnd_maps Xf X Y | bnd_function Xf; % 11.59/9.18 !!X Y Z. % 11.59/9.18 (~ bnd_member (bnd_ordered_pair X (bnd_ordered_pair Y Z)) % 11.59/9.18 (bnd_cross_product bnd_universal_class % 11.59/9.18 (bnd_cross_product bnd_universal_class bnd_universal_class)) | % 11.59/9.18 ~ bnd_member Y (bnd_domain_of X)) | % 11.59/9.18 bnd_member (bnd_ordered_pair X (bnd_ordered_pair Y (bnd_apply X Y))) % 11.59/9.18 bnd_application_function; % 11.59/9.18 !!X Y Z. % 11.59/9.18 ~ bnd_member (bnd_ordered_pair X (bnd_ordered_pair Y Z)) % 11.59/9.18 bnd_application_function | % 11.59/9.18 bnd_apply X Y = Z; % 11.59/9.18 !!X Y Z. % 11.59/9.18 ~ bnd_member (bnd_ordered_pair X (bnd_ordered_pair Y Z)) % 11.59/9.18 bnd_application_function | % 11.59/9.18 bnd_member Y (bnd_domain_of X); % 11.59/9.18 bnd_subclass bnd_application_function % 11.59/9.18 (bnd_cross_product bnd_universal_class % 11.59/9.18 (bnd_cross_product bnd_universal_class bnd_universal_class)); % 11.59/9.18 bnd_intersection % 11.59/9.18 (bnd_complement % 11.59/9.18 (bnd_compose bnd_element_relation % 11.59/9.18 (bnd_complement bnd_identity_relation))) % 11.59/9.18 bnd_element_relation = % 11.59/9.18 bnd_singleton_relation; % 11.59/9.18 !!X. bnd_domain X % 11.59/9.18 (bnd_image (bnd_inverse X) (bnd_singleton (bnd_single_valued1 X))) % 11.59/9.18 (bnd_single_valued2 X) = % 11.59/9.18 bnd_single_valued3 X; % 11.59/9.18 !!X. bnd_second % 11.59/9.18 (bnd_not_subclass_element (bnd_compose X (bnd_inverse X)) % 11.59/9.18 bnd_identity_relation) = % 11.59/9.18 bnd_single_valued2 X; % 11.59/9.18 !!X. bnd_first % 11.59/9.18 (bnd_not_subclass_element (bnd_compose X (bnd_inverse X)) % 11.59/9.18 bnd_identity_relation) = % 11.59/9.18 bnd_single_valued1 X; % 11.59/9.18 !!X. ~ bnd_member X bnd_universal_class | % 11.59/9.18 bnd_member (bnd_ordered_pair X (bnd_domain_of X)) % 11.59/9.18 bnd_domain_relation; % 11.59/9.18 !!X Y. % 11.59/9.18 ~ bnd_member (bnd_ordered_pair X Y) bnd_domain_relation | % 11.59/9.18 bnd_domain_of X = Y; % 11.59/9.18 bnd_subclass bnd_domain_relation % 11.59/9.18 (bnd_cross_product bnd_universal_class bnd_universal_class); % 11.59/9.18 !!X Y. % 11.59/9.18 ~ bnd_member (bnd_ordered_pair X Y) % 11.59/9.18 (bnd_cross_product bnd_universal_class bnd_universal_class) | % 11.59/9.18 bnd_member (bnd_ordered_pair X (bnd_ordered_pair Y (bnd_compose X Y))) % 11.59/9.18 bnd_composition_function; % 11.59/9.18 !!X Y Z. % 11.59/9.18 ~ bnd_member (bnd_ordered_pair X (bnd_ordered_pair Y Z)) % 11.59/9.18 bnd_composition_function | % 11.59/9.18 bnd_compose X Y = Z; % 11.59/9.18 bnd_subclass bnd_composition_function % 11.59/9.18 (bnd_cross_product bnd_universal_class % 11.59/9.18 (bnd_cross_product bnd_universal_class bnd_universal_class)); % 11.59/9.18 !!Y Z X. % 11.59/9.18 (~ bnd_member (bnd_ordered_pair Y Z) % 11.59/9.18 (bnd_cross_product bnd_universal_class bnd_universal_class) | % 11.59/9.18 ~ bnd_compose X Y = Z) | % 11.59/9.18 bnd_member (bnd_ordered_pair Y Z) (bnd_compose_class X); % 11.59/9.18 !!Y Z X. % 11.59/9.18 ~ bnd_member (bnd_ordered_pair Y Z) (bnd_compose_class X) | % 11.59/9.18 bnd_compose X Y = Z; % 11.59/9.18 !!X. bnd_subclass (bnd_compose_class X) % 11.59/9.18 (bnd_cross_product bnd_universal_class bnd_universal_class); % 11.59/9.18 !!Xf1 Xf2 Xh. % 11.59/9.18 (((~ bnd_operation Xf1 | ~ bnd_operation Xf2) | % 11.59/9.18 ~ bnd_compatible Xh Xf1 Xf2) | % 11.59/9.18 ~ bnd_apply Xf2 % 11.59/9.18 (bnd_ordered_pair % 11.59/9.18 (bnd_apply Xh (bnd_not_homomorphism1 Xh Xf1 Xf2)) % 11.59/9.18 (bnd_apply Xh (bnd_not_homomorphism2 Xh Xf1 Xf2))) = % 11.59/9.18 bnd_apply Xh % 11.59/9.18 (bnd_apply Xf1 % 11.59/9.18 (bnd_ordered_pair (bnd_not_homomorphism1 Xh Xf1 Xf2) % 11.59/9.18 (bnd_not_homomorphism2 Xh Xf1 Xf2)))) | % 11.59/9.18 bnd_homomorphism Xh Xf1 Xf2; % 11.59/9.18 !!Xf1 Xf2 Xh. % 11.59/9.18 (((~ bnd_operation Xf1 | ~ bnd_operation Xf2) | % 11.59/9.18 ~ bnd_compatible Xh Xf1 Xf2) | % 11.59/9.18 bnd_member % 11.59/9.18 (bnd_ordered_pair (bnd_not_homomorphism1 Xh Xf1 Xf2) % 11.59/9.18 (bnd_not_homomorphism2 Xh Xf1 Xf2)) % 11.59/9.18 (bnd_domain_of Xf1)) | % 11.59/9.18 bnd_homomorphism Xh Xf1 Xf2; % 11.59/9.18 !!Xh Xf1 Xf2 X Y. % 11.59/9.18 (~ bnd_homomorphism Xh Xf1 Xf2 | % 11.59/9.18 ~ bnd_member (bnd_ordered_pair X Y) (bnd_domain_of Xf1)) | % 11.59/9.18 bnd_apply Xf2 (bnd_ordered_pair (bnd_apply Xh X) (bnd_apply Xh Y)) = % 11.59/9.18 bnd_apply Xh (bnd_apply Xf1 (bnd_ordered_pair X Y)); % 11.59/9.18 !!Xh Xf1 Xf2. ~ bnd_homomorphism Xh Xf1 Xf2 | bnd_compatible Xh Xf1 Xf2; % 11.59/9.18 !!Xh Xf1 Xf2. ~ bnd_homomorphism Xh Xf1 Xf2 | bnd_operation Xf2; % 11.59/9.18 !!Xh Xf1 Xf2. ~ bnd_homomorphism Xh Xf1 Xf2 | bnd_operation Xf1; % 11.59/9.18 !!Xh Xf1 Xf2. % 11.59/9.18 ((~ bnd_function Xh | % 11.59/9.18 ~ bnd_domain_of (bnd_domain_of Xf1) = bnd_domain_of Xh) | % 11.59/9.18 ~ bnd_subclass (bnd_range_of Xh) % 11.59/9.18 (bnd_domain_of (bnd_domain_of Xf2))) | % 11.59/9.18 bnd_compatible Xh Xf1 Xf2; % 11.59/9.18 !!Xh Xf1 Xf2. % 11.59/9.18 ~ bnd_compatible Xh Xf1 Xf2 | % 11.59/9.18 bnd_subclass (bnd_range_of Xh) (bnd_domain_of (bnd_domain_of Xf2)); % 11.59/9.18 !!Xh Xf1 Xf2. % 11.59/9.18 ~ bnd_compatible Xh Xf1 Xf2 | % 11.59/9.18 bnd_domain_of (bnd_domain_of Xf1) = bnd_domain_of Xh; % 11.59/9.18 !!Xh Xf1 Xf2. ~ bnd_compatible Xh Xf1 Xf2 | bnd_function Xh; % 11.59/9.18 !!Xf. ((~ bnd_function Xf | % 11.59/9.18 ~ bnd_cross_product (bnd_domain_of (bnd_domain_of Xf)) % 11.59/9.18 (bnd_domain_of (bnd_domain_of Xf)) = % 11.59/9.18 bnd_domain_of Xf) | % 11.59/9.18 ~ bnd_subclass (bnd_range_of Xf) % 11.59/9.18 (bnd_domain_of (bnd_domain_of Xf))) | % 11.59/9.18 bnd_operation Xf; % 11.59/9.18 !!Xf. ~ bnd_operation Xf | % 11.59/9.18 bnd_subclass (bnd_range_of Xf) (bnd_domain_of (bnd_domain_of Xf)); % 11.59/9.18 !!Xf. ~ bnd_operation Xf | % 11.59/9.18 bnd_cross_product (bnd_domain_of (bnd_domain_of Xf)) % 11.59/9.18 (bnd_domain_of (bnd_domain_of Xf)) = % 11.59/9.18 bnd_domain_of Xf; % 11.59/9.18 !!Xf. ~ bnd_operation Xf | bnd_function Xf; % 11.59/9.18 !!X. bnd_intersection (bnd_domain_of X) % 11.59/9.18 (bnd_diagonalise % 11.59/9.18 (bnd_compose (bnd_inverse bnd_element_relation) X)) = % 11.59/9.18 bnd_cantor X; % 11.59/9.18 !!Xr. bnd_complement % 11.59/9.18 (bnd_domain_of (bnd_intersection Xr bnd_identity_relation)) = % 11.59/9.18 bnd_diagonalise Xr; % 11.59/9.18 bnd_intersection (bnd_inverse bnd_subset_relation) bnd_subset_relation = % 11.59/9.18 bnd_identity_relation; % 11.59/9.18 bnd_intersection % 11.59/9.18 (bnd_cross_product bnd_universal_class bnd_universal_class) % 11.59/9.18 (bnd_intersection % 11.59/9.18 (bnd_cross_product bnd_universal_class bnd_universal_class) % 11.59/9.18 (bnd_complement % 11.59/9.18 (bnd_compose (bnd_complement bnd_element_relation) % 11.59/9.18 (bnd_inverse bnd_element_relation)))) = % 11.59/9.18 bnd_subset_relation; % 11.59/9.18 !!Xf. (~ bnd_function (bnd_inverse Xf) | ~ bnd_function Xf) | % 11.59/9.18 bnd_one_to_one Xf; % 11.59/9.18 !!Xf. ~ bnd_one_to_one Xf | bnd_function (bnd_inverse Xf); % 11.59/9.18 !!Xf. ~ bnd_one_to_one Xf | bnd_function Xf; % 11.59/9.18 !!Y. (~ bnd_member Y bnd_universal_class | Y = bnd_null_class) | % 11.59/9.18 bnd_member (bnd_apply bnd_choice Y) Y; % 11.59/9.18 bnd_function bnd_choice; % 11.59/9.18 !!Xf Y. bnd_sum_class (bnd_image Xf (bnd_singleton Y)) = bnd_apply Xf Y; % 11.59/9.18 !!X. X = bnd_null_class | % 11.59/9.18 bnd_intersection X (bnd_regular X) = bnd_null_class; % 11.59/9.18 !!X. X = bnd_null_class | bnd_member (bnd_regular X) X; % 11.59/9.18 !!Xf X. % 11.59/9.18 (~ bnd_function Xf | ~ bnd_member X bnd_universal_class) | % 11.59/9.18 bnd_member (bnd_image Xf X) bnd_universal_class; % 11.59/9.18 !!Xf. (~ bnd_subclass Xf % 11.59/9.18 (bnd_cross_product bnd_universal_class bnd_universal_class) | % 11.59/9.18 ~ bnd_subclass (bnd_compose Xf (bnd_inverse Xf)) % 11.59/9.18 bnd_identity_relation) | % 11.59/9.18 bnd_function Xf; % 11.59/9.18 !!Xf. ~ bnd_function Xf | % 11.59/9.18 bnd_subclass (bnd_compose Xf (bnd_inverse Xf)) % 11.59/9.18 bnd_identity_relation; % 11.59/9.18 !!Xf. ~ bnd_function Xf | % 11.59/9.18 bnd_subclass Xf % 11.59/9.18 (bnd_cross_product bnd_universal_class bnd_universal_class); % 11.59/9.18 !!X. ~ bnd_subclass (bnd_compose X (bnd_inverse X)) % 11.59/9.18 bnd_identity_relation | % 11.59/9.18 bnd_single_valued_class X; % 11.59/9.18 !!X. ~ bnd_single_valued_class X | % 11.59/9.18 bnd_subclass (bnd_compose X (bnd_inverse X)) bnd_identity_relation; % 11.59/9.18 !!Z Yr Xr Y. % 11.59/9.18 (~ bnd_member Z (bnd_image Yr (bnd_image Xr (bnd_singleton Y))) | % 11.59/9.18 ~ bnd_member (bnd_ordered_pair Y Z) % 11.59/9.18 (bnd_cross_product bnd_universal_class bnd_universal_class)) | % 11.59/9.18 bnd_member (bnd_ordered_pair Y Z) (bnd_compose Yr Xr); % 11.59/9.18 !!Y Z Yr Xr. % 11.59/9.18 ~ bnd_member (bnd_ordered_pair Y Z) (bnd_compose Yr Xr) | % 11.59/9.18 bnd_member Z (bnd_image Yr (bnd_image Xr (bnd_singleton Y))); % 11.59/9.18 !!Yr Xr. % 11.59/9.18 bnd_subclass (bnd_compose Yr Xr) % 11.59/9.18 (bnd_cross_product bnd_universal_class bnd_universal_class); % 11.59/9.18 !!U. ~ bnd_member U bnd_universal_class | % 11.59/9.18 bnd_member (bnd_power_class U) bnd_universal_class; % 11.59/9.18 !!X. bnd_complement (bnd_image bnd_element_relation (bnd_complement X)) = % 11.59/9.18 bnd_power_class X; % 11.59/9.18 !!X. ~ bnd_member X bnd_universal_class | % 11.59/9.18 bnd_member (bnd_sum_class X) bnd_universal_class; % 11.59/9.18 !!X. bnd_domain_of % 11.59/9.18 (bnd_restrict bnd_element_relation bnd_universal_class X) = % 11.59/9.18 bnd_sum_class X; % 11.59/9.18 bnd_member bnd_omega bnd_universal_class; % 11.59/9.18 !!Y. ~ bnd_inductive Y | bnd_subclass bnd_omega Y; % 11.59/9.18 bnd_inductive bnd_omega; % 11.59/9.18 !!X. (~ bnd_member bnd_null_class X | % 11.59/9.18 ~ bnd_subclass (bnd_image bnd_successor_relation X) X) | % 11.59/9.18 bnd_inductive X; % 11.59/9.18 !!X. ~ bnd_inductive X | % 11.59/9.18 bnd_subclass (bnd_image bnd_successor_relation X) X; % 11.59/9.18 !!X. ~ bnd_inductive X | bnd_member bnd_null_class X; % 11.59/9.18 !!X Y. % 11.59/9.18 (~ bnd_successor X = Y | % 11.59/9.18 ~ bnd_member (bnd_ordered_pair X Y) % 11.59/9.18 (bnd_cross_product bnd_universal_class bnd_universal_class)) | % 11.59/9.18 bnd_member (bnd_ordered_pair X Y) bnd_successor_relation; % 11.59/9.18 !!X Y. % 11.59/9.18 ~ bnd_member (bnd_ordered_pair X Y) bnd_successor_relation | % 11.59/9.18 bnd_successor X = Y; % 11.59/9.18 bnd_subclass bnd_successor_relation % 11.59/9.18 (bnd_cross_product bnd_universal_class bnd_universal_class); % 11.59/9.18 !!X. bnd_union X (bnd_singleton X) = bnd_successor X; % 11.59/9.18 !!Xr X. % 11.59/9.18 bnd_range_of (bnd_restrict Xr X bnd_universal_class) = bnd_image Xr X; % 11.59/9.18 !!Z X Y. % 11.59/9.18 bnd_second % 11.59/9.18 (bnd_not_subclass_element (bnd_restrict Z (bnd_singleton X) Y) % 11.59/9.18 bnd_null_class) = % 11.59/9.18 bnd_range Z X Y; % 11.59/9.18 !!Z X Y. % 11.59/9.18 bnd_first % 11.59/9.18 (bnd_not_subclass_element (bnd_restrict Z X (bnd_singleton Y)) % 11.59/9.18 bnd_null_class) = % 11.59/9.18 bnd_domain Z X Y; % 11.59/9.18 !!Z. bnd_domain_of (bnd_inverse Z) = bnd_range_of Z; % 11.59/9.18 !!Y. bnd_domain_of (bnd_flip (bnd_cross_product Y bnd_universal_class)) = % 11.59/9.18 bnd_inverse Y; % 11.59/9.18 !!V U W X. % 11.59/9.18 (~ bnd_member (bnd_ordered_pair (bnd_ordered_pair V U) W) X | % 11.59/9.18 ~ bnd_member (bnd_ordered_pair (bnd_ordered_pair U V) W) % 11.59/9.18 (bnd_cross_product % 11.59/9.18 (bnd_cross_product bnd_universal_class bnd_universal_class) % 11.59/9.18 bnd_universal_class)) | % 11.59/9.18 bnd_member (bnd_ordered_pair (bnd_ordered_pair U V) W) (bnd_flip X); % 11.59/9.18 !!U V W X. % 11.59/9.18 ~ bnd_member (bnd_ordered_pair (bnd_ordered_pair U V) W) % 11.59/9.18 (bnd_flip X) | % 11.59/9.18 bnd_member (bnd_ordered_pair (bnd_ordered_pair V U) W) X; % 11.59/9.18 !!X. bnd_subclass (bnd_flip X) % 11.59/9.18 (bnd_cross_product % 11.59/9.18 (bnd_cross_product bnd_universal_class bnd_universal_class) % 11.59/9.18 bnd_universal_class); % 11.59/9.18 !!V W U X. % 11.59/9.18 (~ bnd_member (bnd_ordered_pair (bnd_ordered_pair V W) U) X | % 11.59/9.18 ~ bnd_member (bnd_ordered_pair (bnd_ordered_pair U V) W) % 11.59/9.18 (bnd_cross_product % 11.59/9.18 (bnd_cross_product bnd_universal_class bnd_universal_class) % 11.59/9.18 bnd_universal_class)) | % 11.59/9.18 bnd_member (bnd_ordered_pair (bnd_ordered_pair U V) W) (bnd_rotate X); % 11.59/9.18 !!U V W X. % 11.59/9.18 ~ bnd_member (bnd_ordered_pair (bnd_ordered_pair U V) W) % 11.59/9.18 (bnd_rotate X) | % 11.59/9.18 bnd_member (bnd_ordered_pair (bnd_ordered_pair V W) U) X; % 11.59/9.18 !!X. bnd_subclass (bnd_rotate X) % 11.59/9.18 (bnd_cross_product % 11.59/9.18 (bnd_cross_product bnd_universal_class bnd_universal_class) % 11.59/9.18 bnd_universal_class); % 11.59/9.18 !!Z X. % 11.59/9.18 (~ bnd_member Z bnd_universal_class | % 11.59/9.18 bnd_restrict X (bnd_singleton Z) bnd_universal_class = % 11.59/9.18 bnd_null_class) | % 11.59/9.18 bnd_member Z (bnd_domain_of X); % 11.59/9.18 !!X Z. % 11.59/9.18 ~ bnd_restrict X (bnd_singleton Z) bnd_universal_class = % 11.59/9.18 bnd_null_class | % 11.59/9.18 ~ bnd_member Z (bnd_domain_of X); % 11.59/9.18 !!X Y Xr. % 11.59/9.18 bnd_intersection (bnd_cross_product X Y) Xr = bnd_restrict Xr X Y; % 11.59/9.18 !!Xr X Y. % 11.59/9.18 bnd_intersection Xr (bnd_cross_product X Y) = bnd_restrict Xr X Y; % 11.59/9.18 !!X Y. % 11.59/9.18 bnd_intersection (bnd_complement (bnd_intersection X Y)) % 11.59/9.18 (bnd_complement % 11.59/9.18 (bnd_intersection (bnd_complement X) (bnd_complement Y))) = % 11.59/9.18 bnd_symmetric_difference X Y; % 11.59/9.18 !!X Y. % 11.59/9.18 bnd_complement % 11.59/9.18 (bnd_intersection (bnd_complement X) (bnd_complement Y)) = % 11.59/9.18 bnd_union X Y; % 11.59/9.18 !!Z X. % 11.59/9.18 (~ bnd_member Z bnd_universal_class | % 11.59/9.18 bnd_member Z (bnd_complement X)) | % 11.59/9.18 bnd_member Z X; % 11.59/9.18 !!Z X. ~ bnd_member Z (bnd_complement X) | ~ bnd_member Z X; % 11.59/9.18 !!Z X Y. % 11.59/9.18 (~ bnd_member Z X | ~ bnd_member Z Y) | % 11.59/9.18 bnd_member Z (bnd_intersection X Y); % 11.59/9.18 !!Z X Y. ~ bnd_member Z (bnd_intersection X Y) | bnd_member Z Y; % 11.59/9.18 !!Z X Y. ~ bnd_member Z (bnd_intersection X Y) | bnd_member Z X; % 11.59/9.18 !!X Y. % 11.59/9.18 (~ bnd_member (bnd_ordered_pair X Y) % 11.59/9.18 (bnd_cross_product bnd_universal_class bnd_universal_class) | % 11.59/9.18 ~ bnd_member X Y) | % 11.59/9.18 bnd_member (bnd_ordered_pair X Y) bnd_element_relation; % 11.59/9.18 !!X Y. % 11.59/9.18 ~ bnd_member (bnd_ordered_pair X Y) bnd_element_relation | % 11.59/9.18 bnd_member X Y; % 11.59/9.18 bnd_subclass bnd_element_relation % 11.59/9.18 (bnd_cross_product bnd_universal_class bnd_universal_class); % 11.59/9.18 !!Z X Y. % 11.59/9.18 ~ bnd_member Z (bnd_cross_product X Y) | % 11.59/9.18 bnd_ordered_pair (bnd_first Z) (bnd_second Z) = Z; % 11.59/9.18 !!U X V Y. % 11.59/9.18 (~ bnd_member U X | ~ bnd_member V Y) | % 11.59/9.18 bnd_member (bnd_ordered_pair U V) (bnd_cross_product X Y); % 11.59/9.18 !!U V X Y. % 11.59/9.18 ~ bnd_member (bnd_ordered_pair U V) (bnd_cross_product X Y) | % 11.59/9.18 bnd_member V Y; % 11.59/9.18 !!U V X Y. % 11.59/9.18 ~ bnd_member (bnd_ordered_pair U V) (bnd_cross_product X Y) | % 11.59/9.18 bnd_member U X; % 11.59/9.18 !!X Y. % 11.59/9.18 bnd_unordered_pair (bnd_singleton X) % 11.59/9.18 (bnd_unordered_pair X (bnd_singleton Y)) = % 11.59/9.18 bnd_ordered_pair X Y; % 11.59/9.18 !!X. bnd_unordered_pair X X = bnd_singleton X; % 11.59/9.18 !!X Y. bnd_member (bnd_unordered_pair X Y) bnd_universal_class; % 11.59/9.18 !!Y X. % 11.59/9.18 ~ bnd_member Y bnd_universal_class | % 11.59/9.18 bnd_member Y (bnd_unordered_pair X Y); % 11.59/9.18 !!X Y. % 11.59/9.18 ~ bnd_member X bnd_universal_class | % 11.59/9.18 bnd_member X (bnd_unordered_pair X Y); % 11.59/9.18 !!U X Y. (~ bnd_member U (bnd_unordered_pair X Y) | U = X) | U = Y; % 11.59/9.18 !!X Y. (~ bnd_subclass X Y | ~ bnd_subclass Y X) | X = Y; % 11.59/9.18 !!X Y. ~ X = Y | bnd_subclass Y X; !!X Y. ~ X = Y | bnd_subclass X Y; % 11.59/9.18 !!X. bnd_subclass X bnd_universal_class; % 11.59/9.18 !!X Y. ~ bnd_member (bnd_not_subclass_element X Y) Y | bnd_subclass X Y; % 11.59/9.18 !!X Y. bnd_member (bnd_not_subclass_element X Y) X | bnd_subclass X Y; % 11.59/9.18 !!X Y U. (~ bnd_subclass X Y | ~ bnd_member U X) | bnd_member U Y |] % 11.59/9.18 ==> True % 11.59/9.18 Adding axioms... % 11.59/9.18 Typedef.type_definition_def % 26.91/24.49 ...done. % 27.01/24.51 Ground types: ?'b, TPTP_Interpret.ind % 27.01/24.51 Translating term (sizes: 1, 1) ... % 36.92/34.47 Invoking SAT solver... % 36.92/34.47 No model exists. % 36.92/34.47 Translating term (sizes: 2, 1) ... % 47.65/45.13 Invoking SAT solver... % 47.65/45.13 No model exists. % 47.65/45.13 Translating term (sizes: 1, 2) ... % 104.50/101.82 Invoking SAT solver... % 104.50/101.82 No model exists. % 104.50/101.82 Translating term (sizes: 3, 1) ... % 117.55/114.82 Invoking SAT solver... % 117.55/114.82 No model exists. % 117.55/114.82 Translating term (sizes: 2, 2) ... % 182.15/179.14 Invoking SAT solver... % 182.15/179.14 No model exists. % 182.15/179.14 Translating term (sizes: 1, 3) ... %------------------------------------------------------------------------------