TSTP Solution File: GEO224+2 by Refute---2015
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%------------------------------------------------------------------------------
% File : Refute---2015
% Problem : GEO224+2 : TPTP v6.4.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : isabelle tptp_refute %d %s
% Computer : n139.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 : Tue Apr 12 14:35:29 EDT 2016
% Result : CounterSatisfiable 25.13s
% Output : Assurance 0s
% 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 : GEO224+2 : TPTP v6.4.0. Released v3.3.0.
% 0.03/0.04 % Command : isabelle tptp_refute %d %s
% 0.03/0.23 % Computer : n139.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 : Sat Apr 9 14:54:24 CDT 2016
% 0.03/0.23 % CPUTime :
% 6.29/5.96 > val it = (): unit
% 6.48/6.16 Trying to find a model that refutes: bnd_point X & bnd_line Y --> (EX Z. bnd_point Z & ~ bnd_apt Z Y)
% 7.00/6.65 Unfolded term: [| ALL L A.
% 7.00/6.65 bnd_line L & bnd_point A -->
% 7.00/6.65 bnd_line (bnd_orthogonal_through_point L A);
% 7.00/6.65 ALL L A.
% 7.00/6.65 bnd_line L & bnd_point A -->
% 7.00/6.65 bnd_line (bnd_parallel_through_point L A);
% 7.00/6.65 ALL L M.
% 7.00/6.65 (bnd_line L & bnd_line M) & bnd_convergent_lines L M -->
% 7.00/6.65 bnd_point (bnd_intersection_point L M);
% 7.00/6.65 ALL A B.
% 7.00/6.65 (bnd_point A & bnd_point B) & bnd_distinct_points A B -->
% 7.00/6.65 bnd_line (bnd_line_connecting A B);
% 7.00/6.65 ALL A L M N.
% 7.00/6.65 bnd_distinct_lines L M -->
% 7.00/6.65 ((bnd_apart_point_and_line A L | bnd_apart_point_and_line A M) |
% 7.00/6.65 bnd_unorthogonal_lines L N) |
% 7.00/6.65 bnd_unorthogonal_lines M N;
% 7.00/6.65 ALL A L. ~ bnd_apart_point_and_line A (bnd_orthogonal_through_point L A);
% 7.00/6.65 ALL A L. ~ bnd_unorthogonal_lines (bnd_orthogonal_through_point L A) L;
% 7.00/6.65 ALL L M N.
% 7.00/6.65 bnd_convergent_lines L M & bnd_unorthogonal_lines L M -->
% 7.00/6.65 bnd_convergent_lines L N & bnd_unorthogonal_lines L N |
% 7.00/6.65 bnd_convergent_lines M N & bnd_unorthogonal_lines M N;
% 7.00/6.65 ALL L M. bnd_convergent_lines L M | bnd_unorthogonal_lines L M;
% 7.00/6.65 ALL X Y Z.
% 7.00/6.65 bnd_distinct_lines Y Z -->
% 7.00/6.65 (bnd_apart_point_and_line X Y | bnd_apart_point_and_line X Z) |
% 7.00/6.65 bnd_convergent_lines Y Z;
% 7.00/6.65 ALL X Y. ~ bnd_apart_point_and_line X (bnd_parallel_through_point Y X);
% 7.00/6.65 ALL X Y. ~ bnd_convergent_lines (bnd_parallel_through_point Y X) Y;
% 7.00/6.65 ALL X Y. bnd_convergent_lines X Y --> bnd_distinct_lines X Y;
% 7.00/6.65 ALL X Y Z.
% 7.00/6.65 bnd_apart_point_and_line X Y -->
% 7.00/6.65 bnd_distinct_lines Y Z | bnd_apart_point_and_line X Z;
% 7.00/6.65 ALL X Y Z.
% 7.00/6.65 bnd_apart_point_and_line X Y -->
% 7.00/6.65 bnd_distinct_points X Z | bnd_apart_point_and_line Z Y;
% 7.00/6.65 ALL X Y U V.
% 7.00/6.65 bnd_distinct_points X Y & bnd_distinct_lines U V -->
% 7.00/6.65 ((bnd_apart_point_and_line X U | bnd_apart_point_and_line X V) |
% 7.00/6.65 bnd_apart_point_and_line Y U) |
% 7.00/6.65 bnd_apart_point_and_line Y V;
% 7.00/6.65 ALL X Y Z.
% 7.00/6.65 bnd_convergent_lines X Y -->
% 7.00/6.65 bnd_apart_point_and_line Z X | bnd_apart_point_and_line Z Y -->
% 7.00/6.65 bnd_distinct_points Z (bnd_intersection_point X Y);
% 7.00/6.65 ALL X Y Z.
% 7.00/6.65 bnd_distinct_points X Y -->
% 7.00/6.65 bnd_apart_point_and_line Z (bnd_line_connecting X Y) -->
% 7.00/6.65 bnd_distinct_points Z X & bnd_distinct_points Z Y;
% 7.00/6.65 ALL X Y Z.
% 7.00/6.65 bnd_convergent_lines X Y -->
% 7.00/6.65 bnd_convergent_lines X Z | bnd_convergent_lines Y Z;
% 7.00/6.65 ALL X Y Z.
% 7.00/6.65 bnd_distinct_lines X Y -->
% 7.00/6.65 bnd_distinct_lines X Z | bnd_distinct_lines Y Z;
% 7.00/6.65 ALL X Y Z.
% 7.00/6.65 bnd_distinct_points X Y -->
% 7.00/6.65 bnd_distinct_points X Z | bnd_distinct_points Y Z;
% 7.00/6.65 ALL X. ~ bnd_convergent_lines X X; ALL X. ~ bnd_distinct_lines X X;
% 7.00/6.65 ALL X. ~ bnd_distinct_points X X |]
% 7.00/6.65 ==> bnd_point X & bnd_line Y --> (EX Z. bnd_point Z & ~ bnd_apt Z Y)
% 7.00/6.65 Adding axioms...
% 7.00/6.66 Typedef.type_definition_def
% 9.80/9.45 ...done.
% 9.80/9.45 Ground types: ?'b, TPTP_Interpret.ind
% 9.80/9.45 Translating term (sizes: 1, 1) ...
% 11.89/11.59 Invoking SAT solver...
% 11.89/11.59 No model exists.
% 11.89/11.59 Translating term (sizes: 2, 1) ...
% 14.80/14.40 Invoking SAT solver...
% 14.80/14.40 No model exists.
% 14.80/14.40 Translating term (sizes: 1, 2) ...
% 24.93/24.58 Invoking SAT solver...
% 25.13/24.77 Model found:
% 25.13/24.77 Size of types: ?'b: 1, TPTP_Interpret.ind: 2
% 25.13/24.77 bnd_apt: {(??.TPTP_Interpret.ind0,
% 25.13/24.77 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)}),
% 25.13/24.77 (??.TPTP_Interpret.ind1,
% 25.13/24.77 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)})}
% 25.13/24.77 Y: ??.TPTP_Interpret.ind0
% 25.13/24.77 X: ??.TPTP_Interpret.ind1
% 25.13/24.77 bnd_unorthogonal_lines: {(??.TPTP_Interpret.ind0,
% 25.13/24.77 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False)}),
% 25.13/24.77 (??.TPTP_Interpret.ind1,
% 25.13/24.77 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True)})}
% 25.13/24.77 bnd_apart_point_and_line: {(??.TPTP_Interpret.ind0,
% 25.13/24.77 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)}),
% 25.13/24.77 (??.TPTP_Interpret.ind1,
% 25.13/24.77 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)})}
% 25.13/24.77 bnd_distinct_lines: {(??.TPTP_Interpret.ind0,
% 25.13/24.77 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True)}),
% 25.13/24.77 (??.TPTP_Interpret.ind1,
% 25.13/24.77 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False)})}
% 25.13/24.77 bnd_line_connecting: {(??.TPTP_Interpret.ind0,
% 25.13/24.77 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 25.13/24.77 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)}),
% 25.13/24.77 (??.TPTP_Interpret.ind1,
% 25.13/24.77 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 25.13/24.77 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)})}
% 25.13/24.77 bnd_distinct_points: {(??.TPTP_Interpret.ind0,
% 25.13/24.77 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)}),
% 25.13/24.77 (??.TPTP_Interpret.ind1,
% 25.13/24.77 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)})}
% 25.13/24.77 bnd_intersection_point: {(??.TPTP_Interpret.ind0,
% 25.13/24.77 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 25.13/24.77 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1)}),
% 25.13/24.77 (??.TPTP_Interpret.ind1,
% 25.13/24.77 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind1),
% 25.13/24.77 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)})}
% 25.13/24.77 bnd_convergent_lines: {(??.TPTP_Interpret.ind0,
% 25.13/24.77 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True)}),
% 25.13/24.77 (??.TPTP_Interpret.ind1,
% 25.13/24.77 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False)})}
% 25.13/24.77 bnd_parallel_through_point: {(??.TPTP_Interpret.ind0,
% 25.13/24.77 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 25.13/24.77 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)}),
% 25.13/24.77 (??.TPTP_Interpret.ind1,
% 25.13/24.77 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind1),
% 25.13/24.77 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1)})}
% 25.13/24.77 bnd_orthogonal_through_point: {(??.TPTP_Interpret.ind0,
% 25.13/24.77 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind1),
% 25.13/24.77 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1)}),
% 25.13/24.77 (??.TPTP_Interpret.ind1,
% 25.13/24.77 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 25.13/24.77 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)})}
% 25.13/24.77 bnd_point: {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True)}
% 25.13/24.77 bnd_line: {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)}
% 25.13/24.77
% 25.13/24.77 % SZS status CounterSatisfiable
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