TSTP Solution File: GEO213+3 by Refute---2015
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%------------------------------------------------------------------------------
% File : Refute---2015
% Problem : GEO213+3 : TPTP v6.4.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : isabelle tptp_refute %d %s
% Computer : n128.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 14:35:26 EDT 2016
% Result : CounterSatisfiable 30.55s
% 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 : GEO213+3 : TPTP v6.4.0. Released v4.0.0.
% 0.00/0.04 % Command : isabelle tptp_refute %d %s
% 0.03/0.22 % Computer : n128.star.cs.uiowa.edu
% 0.03/0.22 % Model : x86_64 x86_64
% 0.03/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.22 % Memory : 32218.75MB
% 0.03/0.22 % OS : Linux 3.10.0-327.10.1.el7.x86_64
% 0.03/0.22 % CPULimit : 300
% 0.03/0.22 % DateTime : Sat Apr 9 14:51:54 CDT 2016
% 0.03/0.23 % CPUTime :
% 6.30/5.83 > val it = (): unit
% 6.50/6.05 Trying to find a model that refutes: bnd_not_orthogonal_lines L M -->
% 6.50/6.05 bnd_distinct_lines L N | bnd_not_orthogonal_lines M N
% 7.12/6.64 Unfolded term: [| ALL X Y. bnd_orthogonal_lines X Y = (~ bnd_unorthogonal_lines X Y);
% 7.12/6.64 ALL X Y.
% 7.12/6.64 bnd_incident_point_and_line X Y = (~ bnd_apart_point_and_line X Y);
% 7.12/6.64 ALL X Y. bnd_parallel_lines X Y = (~ bnd_convergent_lines X Y);
% 7.12/6.64 ALL X Y. bnd_equal_lines X Y = (~ bnd_distinct_lines X Y);
% 7.12/6.64 ALL X Y. bnd_equal_points X Y = (~ bnd_distinct_points X Y);
% 7.12/6.64 ALL L A.
% 7.12/6.64 bnd_line L & bnd_point A -->
% 7.12/6.64 bnd_line (bnd_orthogonal_through_point L A);
% 7.12/6.64 ALL L A.
% 7.12/6.64 bnd_line L & bnd_point A -->
% 7.12/6.64 bnd_line (bnd_parallel_through_point L A);
% 7.12/6.64 ALL L M.
% 7.12/6.64 (bnd_line L & bnd_line M) & bnd_convergent_lines L M -->
% 7.12/6.64 bnd_point (bnd_intersection_point L M);
% 7.12/6.64 ALL A B.
% 7.12/6.64 (bnd_point A & bnd_point B) & bnd_distinct_points A B -->
% 7.12/6.64 bnd_line (bnd_line_connecting A B);
% 7.12/6.64 ALL L M N.
% 7.12/6.64 ~ bnd_unorthogonal_lines L M & ~ bnd_unorthogonal_lines L N -->
% 7.12/6.64 ~ bnd_convergent_lines M N;
% 7.12/6.64 ALL L M N.
% 7.12/6.64 (~ bnd_convergent_lines L M | ~ bnd_unorthogonal_lines L M) &
% 7.12/6.64 (~ bnd_convergent_lines L N | ~ bnd_unorthogonal_lines L N) -->
% 7.12/6.64 ~ bnd_convergent_lines M N | ~ bnd_unorthogonal_lines M N;
% 7.12/6.64 ALL L M. ~ (~ bnd_convergent_lines L M & ~ bnd_unorthogonal_lines L M);
% 7.12/6.64 ALL A L M N.
% 7.12/6.64 bnd_distinct_lines L M -->
% 7.12/6.64 ((bnd_apart_point_and_line A L | bnd_apart_point_and_line A M) |
% 7.12/6.64 bnd_unorthogonal_lines L N) |
% 7.12/6.64 bnd_unorthogonal_lines M N;
% 7.12/6.64 ALL A L. ~ bnd_apart_point_and_line A (bnd_orthogonal_through_point L A);
% 7.12/6.64 ALL A L. ~ bnd_unorthogonal_lines (bnd_orthogonal_through_point L A) L;
% 7.12/6.64 ALL L M N.
% 7.12/6.64 bnd_convergent_lines L M & bnd_unorthogonal_lines L M -->
% 7.12/6.64 bnd_convergent_lines L N & bnd_unorthogonal_lines L N |
% 7.12/6.64 bnd_convergent_lines M N & bnd_unorthogonal_lines M N;
% 7.12/6.64 ALL L M. bnd_convergent_lines L M | bnd_unorthogonal_lines L M;
% 7.12/6.64 ALL X Y Z.
% 7.12/6.64 bnd_distinct_lines Y Z -->
% 7.12/6.64 (bnd_apart_point_and_line X Y | bnd_apart_point_and_line X Z) |
% 7.12/6.64 bnd_convergent_lines Y Z;
% 7.12/6.64 ALL X Y. ~ bnd_apart_point_and_line X (bnd_parallel_through_point Y X);
% 7.12/6.64 ALL X Y. ~ bnd_convergent_lines (bnd_parallel_through_point Y X) Y;
% 7.12/6.64 ALL X Y. bnd_distinct_lines X Y --> bnd_convergent_lines X Y;
% 7.12/6.64 ALL X Y Z.
% 7.12/6.64 bnd_convergent_lines X Y -->
% 7.12/6.64 bnd_distinct_lines Y Z | bnd_convergent_lines X Z;
% 7.12/6.64 ALL X Y Z.
% 7.12/6.64 bnd_apart_point_and_line X Y -->
% 7.12/6.64 bnd_distinct_lines Y Z | bnd_apart_point_and_line X Z;
% 7.12/6.64 ALL X Y Z.
% 7.12/6.64 bnd_apart_point_and_line X Y -->
% 7.12/6.64 bnd_distinct_points X Z | bnd_apart_point_and_line Z Y;
% 7.12/6.64 ALL X Y U V.
% 7.12/6.64 bnd_distinct_points X Y & bnd_distinct_lines U V -->
% 7.12/6.64 ((bnd_apart_point_and_line X U | bnd_apart_point_and_line X V) |
% 7.12/6.64 bnd_apart_point_and_line Y U) |
% 7.12/6.64 bnd_apart_point_and_line Y V;
% 7.12/6.64 ALL X Y.
% 7.12/6.64 bnd_convergent_lines X Y -->
% 7.12/6.64 ~ bnd_apart_point_and_line (bnd_intersection_point X Y) Y;
% 7.12/6.64 ALL X Y.
% 7.12/6.64 bnd_convergent_lines X Y -->
% 7.12/6.64 ~ bnd_apart_point_and_line (bnd_intersection_point X Y) X;
% 7.12/6.64 ALL X Y.
% 7.12/6.64 bnd_distinct_points X Y -->
% 7.12/6.64 ~ bnd_apart_point_and_line Y (bnd_line_connecting X Y);
% 7.12/6.64 ALL X Y.
% 7.12/6.64 bnd_distinct_points X Y -->
% 7.12/6.64 ~ bnd_apart_point_and_line X (bnd_line_connecting X Y);
% 7.12/6.64 ALL X Y Z.
% 7.12/6.64 bnd_convergent_lines X Y -->
% 7.12/6.64 bnd_convergent_lines X Z | bnd_convergent_lines Y Z;
% 7.12/6.64 ALL X Y Z.
% 7.12/6.64 bnd_distinct_lines X Y -->
% 7.12/6.64 bnd_distinct_lines X Z | bnd_distinct_lines Y Z;
% 7.12/6.64 ALL X Y Z.
% 7.12/6.64 bnd_distinct_points X Y -->
% 7.12/6.64 bnd_distinct_points X Z | bnd_distinct_points Y Z;
% 7.12/6.64 ALL X. ~ bnd_convergent_lines X X; ALL X. ~ bnd_distinct_lines X X;
% 7.12/6.64 ALL X. ~ bnd_distinct_points X X |]
% 7.12/6.64 ==> bnd_not_orthogonal_lines L M -->
% 7.12/6.64 bnd_distinct_lines L N | bnd_not_orthogonal_lines M N
% 7.12/6.64 Adding axioms...
% 7.12/6.64 Typedef.type_definition_def
% 10.81/10.38 ...done.
% 10.81/10.39 Ground types: ?'b, TPTP_Interpret.ind
% 10.81/10.39 Translating term (sizes: 1, 1) ...
% 13.73/13.23 Invoking SAT solver...
% 13.73/13.23 No model exists.
% 13.73/13.23 Translating term (sizes: 2, 1) ...
% 17.22/16.75 Invoking SAT solver...
% 17.22/16.75 No model exists.
% 17.22/16.75 Translating term (sizes: 1, 2) ...
% 30.26/29.74 Invoking SAT solver...
% 30.55/30.04 Model found:
% 30.55/30.04 Size of types: ?'b: 1, TPTP_Interpret.ind: 2
% 30.55/30.04 N: ??.TPTP_Interpret.ind0
% 30.55/30.04 M: ??.TPTP_Interpret.ind1
% 30.55/30.04 L: ??.TPTP_Interpret.ind0
% 30.55/30.04 bnd_not_orthogonal_lines: {(??.TPTP_Interpret.ind0,
% 30.55/30.04 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)}),
% 30.55/30.04 (??.TPTP_Interpret.ind1,
% 30.55/30.04 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)})}
% 30.55/30.04 bnd_line_connecting: {(??.TPTP_Interpret.ind0,
% 30.55/30.04 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 30.55/30.04 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)}),
% 30.55/30.04 (??.TPTP_Interpret.ind1,
% 30.55/30.04 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 30.55/30.04 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)})}
% 30.55/30.04 bnd_intersection_point: {(??.TPTP_Interpret.ind0,
% 30.55/30.04 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 30.55/30.04 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1)}),
% 30.55/30.04 (??.TPTP_Interpret.ind1,
% 30.55/30.04 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind1),
% 30.55/30.04 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)})}
% 30.55/30.04 bnd_parallel_through_point: {(??.TPTP_Interpret.ind0,
% 30.55/30.04 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 30.55/30.04 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)}),
% 30.55/30.04 (??.TPTP_Interpret.ind1,
% 30.55/30.04 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind1),
% 30.55/30.04 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1)})}
% 30.55/30.04 bnd_orthogonal_through_point: {(??.TPTP_Interpret.ind0,
% 30.55/30.04 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind1),
% 30.55/30.04 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1)}),
% 30.55/30.04 (??.TPTP_Interpret.ind1,
% 30.55/30.04 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 30.55/30.04 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)})}
% 30.55/30.04 bnd_point: {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True)}
% 30.55/30.04 bnd_line: {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)}
% 30.55/30.04 bnd_distinct_points: {(??.TPTP_Interpret.ind0,
% 30.55/30.04 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)}),
% 30.55/30.04 (??.TPTP_Interpret.ind1,
% 30.55/30.04 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)})}
% 30.55/30.04 bnd_equal_points: {(??.TPTP_Interpret.ind0,
% 30.55/30.04 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)}),
% 30.55/30.04 (??.TPTP_Interpret.ind1,
% 30.55/30.04 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)})}
% 30.55/30.04 bnd_distinct_lines: {(??.TPTP_Interpret.ind0,
% 30.55/30.04 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True)}),
% 30.55/30.04 (??.TPTP_Interpret.ind1,
% 30.55/30.04 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False)})}
% 30.55/30.04 bnd_equal_lines: {(??.TPTP_Interpret.ind0,
% 30.55/30.04 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False)}),
% 30.55/30.04 (??.TPTP_Interpret.ind1,
% 30.55/30.04 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True)})}
% 30.55/30.04 bnd_convergent_lines: {(??.TPTP_Interpret.ind0,
% 30.55/30.04 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True)}),
% 30.55/30.04 (??.TPTP_Interpret.ind1,
% 30.55/30.04 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False)})}
% 30.55/30.04 bnd_parallel_lines: {(??.TPTP_Interpret.ind0,
% 30.55/30.04 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False)}),
% 30.55/30.04 (??.TPTP_Interpret.ind1,
% 30.55/30.04 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True)})}
% 30.55/30.04 bnd_apart_point_and_line: {(??.TPTP_Interpret.ind0,
% 30.55/30.04 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)}),
% 30.55/30.04 (??.TPTP_Interpret.ind1,
% 30.55/30.04 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)})}
% 30.55/30.04 bnd_incident_point_and_line: {(??.TPTP_Interpret.ind0,
% 30.55/30.04 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)}),
% 30.55/30.04 (??.TPTP_Interpret.ind1,
% 30.55/30.04 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)})}
% 30.55/30.04 bnd_unorthogonal_lines: {(??.TPTP_Interpret.ind0,
% 30.55/30.04 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False)}),
% 30.55/30.04 (??.TPTP_Interpret.ind1,
% 30.55/30.04 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True)})}
% 30.55/30.04 bnd_orthogonal_lines: {(??.TPTP_Interpret.ind0,
% 30.55/30.04 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True)}),
% 30.55/30.04 (??.TPTP_Interpret.ind1,
% 30.55/30.04 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False)})}
% 30.55/30.04
% 30.55/30.04 % SZS status CounterSatisfiable
%------------------------------------------------------------------------------