TSTP Solution File: GEO230+3 by Refute---2015
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%------------------------------------------------------------------------------
% File : Refute---2015
% Problem : GEO230+3 : TPTP v6.4.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : isabelle tptp_refute %d %s
% Computer : n069.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 14:35:31 EDT 2016
% Result : CounterSatisfiable 35.96s
% Output : Assurance 0s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.03 % Problem : GEO230+3 : TPTP v6.4.0. Released v4.0.0.
% 0.02/0.04 % Command : isabelle tptp_refute %d %s
% 0.02/0.22 % Computer : n069.star.cs.uiowa.edu
% 0.02/0.22 % Model : x86_64 x86_64
% 0.02/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.22 % Memory : 32218.75MB
% 0.02/0.22 % OS : Linux 3.10.0-327.10.1.el7.x86_64
% 0.02/0.22 % CPULimit : 300
% 0.02/0.22 % DateTime : Sat Apr 9 14:57:24 CDT 2016
% 0.02/0.23 % CPUTime :
% 6.31/5.83 > val it = (): unit
% 6.50/6.06 Trying to find a model that refutes: bnd_equal_lines (bnd_line_connecting A B) (bnd_line_connecting B A) &
% 6.50/6.06 bnd_equally_directed_lines (bnd_line_connecting B A)
% 6.50/6.06 (bnd_reverse_line (bnd_line_connecting A B))
% 7.31/6.86 Unfolded term: [| ALL L M N.
% 7.31/6.86 bnd_left_convergent_lines L M -->
% 7.31/6.86 bnd_unequally_directed_lines M N | bnd_left_convergent_lines L N;
% 7.31/6.86 ALL A L M.
% 7.31/6.86 bnd_left_apart_point A L & bnd_unequally_directed_lines L M -->
% 7.31/6.86 bnd_distinct_lines L M | bnd_left_apart_point A (bnd_reverse_line M);
% 7.31/6.86 ALL A B L.
% 7.31/6.86 bnd_left_apart_point A L -->
% 7.31/6.86 bnd_distinct_points A B | bnd_left_apart_point B L;
% 7.31/6.86 ALL A B L.
% 7.31/6.86 bnd_distinct_points A B & bnd_left_apart_point A L -->
% 7.31/6.86 bnd_left_apart_point B L |
% 7.31/6.86 bnd_left_convergent_lines (bnd_line_connecting A B) L;
% 7.31/6.86 ALL A B L M.
% 7.31/6.86 bnd_distinct_points A B & bnd_distinct_lines L M -->
% 7.31/6.86 ((((((bnd_left_apart_point A L | bnd_left_apart_point B L) |
% 7.31/6.86 bnd_left_apart_point A M) |
% 7.31/6.86 bnd_left_apart_point B M) |
% 7.31/6.86 bnd_left_apart_point A (bnd_reverse_line L)) |
% 7.31/6.86 bnd_left_apart_point B (bnd_reverse_line L)) |
% 7.31/6.86 bnd_left_apart_point A (bnd_reverse_line M)) |
% 7.31/6.86 bnd_left_apart_point B (bnd_reverse_line M);
% 7.31/6.86 ALL A L. bnd_equally_directed_lines (bnd_parallel_through_point L A) L;
% 7.31/6.86 ALL A B.
% 7.31/6.86 bnd_distinct_points A B -->
% 7.31/6.86 bnd_equally_directed_lines (bnd_line_connecting A B)
% 7.31/6.86 (bnd_reverse_line (bnd_line_connecting B A));
% 7.31/6.86 ALL L. ~ bnd_distinct_lines L (bnd_reverse_line L);
% 7.31/6.86 ALL A L. ~ bnd_apart_point_and_line A (bnd_parallel_through_point L A);
% 7.31/6.86 ALL L M.
% 7.31/6.86 bnd_unequally_directed_lines L M &
% 7.31/6.86 bnd_unequally_directed_lines L (bnd_reverse_line M) -->
% 7.31/6.86 ~ bnd_apart_point_and_line (bnd_intersection_point L M) L &
% 7.31/6.86 ~ bnd_apart_point_and_line (bnd_intersection_point L M) M;
% 7.31/6.86 ALL A B.
% 7.31/6.86 bnd_distinct_points A B -->
% 7.31/6.86 ~ bnd_apart_point_and_line A (bnd_line_connecting A B) &
% 7.31/6.86 ~ bnd_apart_point_and_line B (bnd_line_connecting A B);
% 7.31/6.86 ALL L. bnd_line L --> bnd_line (bnd_reverse_line L);
% 7.31/6.86 ALL L A.
% 7.31/6.86 bnd_point A & bnd_line L -->
% 7.31/6.86 bnd_line (bnd_parallel_through_point L A);
% 7.31/6.86 ALL L M.
% 7.31/6.86 ((bnd_line L & bnd_line M) & bnd_unequally_directed_lines L M) &
% 7.31/6.86 bnd_unequally_directed_lines L (bnd_reverse_line M) -->
% 7.31/6.86 bnd_point (bnd_intersection_point L M);
% 7.31/6.86 ALL A B.
% 7.31/6.86 (bnd_point A & bnd_point B) & bnd_distinct_points A B -->
% 7.31/6.86 bnd_line (bnd_line_connecting A B);
% 7.31/6.86 ALL L M.
% 7.31/6.86 ~ (bnd_left_convergent_lines L M |
% 7.31/6.86 bnd_left_convergent_lines L (bnd_reverse_line M));
% 7.31/6.86 ALL A L.
% 7.31/6.86 ~ (bnd_left_apart_point A L |
% 7.31/6.86 bnd_left_apart_point A (bnd_reverse_line L));
% 7.31/6.86 ALL L M.
% 7.31/6.86 bnd_unequally_directed_lines L M &
% 7.31/6.86 bnd_unequally_directed_lines L (bnd_reverse_line M) -->
% 7.31/6.86 bnd_left_convergent_lines L M |
% 7.31/6.86 bnd_left_convergent_lines L (bnd_reverse_line M);
% 7.31/6.86 ALL L M.
% 7.31/6.86 bnd_unequally_directed_lines L M |
% 7.31/6.86 bnd_unequally_directed_lines L (bnd_reverse_line M);
% 7.31/6.86 ALL L M N.
% 7.31/6.86 bnd_unequally_directed_lines L M &
% 7.31/6.86 bnd_unequally_directed_lines L (bnd_reverse_line M) -->
% 7.31/6.86 bnd_unequally_directed_lines L N &
% 7.31/6.86 bnd_unequally_directed_lines L (bnd_reverse_line N) |
% 7.31/6.86 bnd_unequally_directed_lines M N &
% 7.31/6.86 bnd_unequally_directed_lines M (bnd_reverse_line N);
% 7.31/6.86 ALL L M N.
% 7.31/6.86 bnd_unequally_directed_lines L M -->
% 7.31/6.86 bnd_unequally_directed_lines L N | bnd_unequally_directed_lines M N;
% 7.31/6.86 ALL L. bnd_equally_directed_lines L L;
% 7.31/6.86 ALL L M N.
% 7.31/6.86 bnd_distinct_lines L M -->
% 7.31/6.86 bnd_distinct_lines L N | bnd_distinct_lines M N;
% 7.31/6.86 ALL L. ~ bnd_distinct_lines L L;
% 7.31/6.86 ALL A B C.
% 7.31/6.86 bnd_distinct_points A B -->
% 7.31/6.86 bnd_distinct_points A C | bnd_distinct_points B C;
% 7.31/6.86 ALL A. ~ bnd_distinct_points A A;
% 7.31/6.86 ALL L A B C.
% 7.31/6.86 bnd_between_on_line L A B C =
% 7.31/6.86 (bnd_before_on_line L A B & bnd_before_on_line L B C |
% 7.31/6.86 bnd_before_on_line L C B & bnd_before_on_line L B A);
% 7.31/6.86 ALL L A B.
% 7.31/6.86 bnd_before_on_line L A B =
% 7.31/6.86 (((bnd_distinct_points A B & bnd_incident_point_and_line A L) &
% 7.31/6.86 bnd_incident_point_and_line B L) &
% 7.31/6.86 bnd_equally_directed_lines L (bnd_line_connecting A B));
% 7.31/6.86 ALL A B L.
% 7.31/6.86 bnd_divides_points L A B =
% 7.31/6.86 (bnd_left_apart_point A L & bnd_right_apart_point B L |
% 7.31/6.86 bnd_right_apart_point A L & bnd_left_apart_point B L);
% 7.31/6.86 ALL L M.
% 7.31/6.86 bnd_convergent_lines L M =
% 7.31/6.86 (bnd_unequally_directed_lines L M &
% 7.31/6.86 bnd_unequally_directed_opposite_lines L M);
% 7.31/6.86 ALL A L.
% 7.31/6.86 bnd_apart_point_and_line A L =
% 7.31/6.86 (bnd_left_apart_point A L | bnd_right_apart_point A L);
% 7.31/6.86 ALL X Y.
% 7.31/6.86 bnd_equally_directed_opposite_lines X Y =
% 7.31/6.86 (~ bnd_unequally_directed_opposite_lines X Y);
% 7.31/6.86 ALL X Y.
% 7.31/6.86 bnd_equally_directed_lines X Y = (~ bnd_unequally_directed_lines X Y);
% 7.31/6.86 ALL X Y.
% 7.31/6.86 bnd_right_convergent_lines X Y =
% 7.31/6.86 bnd_left_convergent_lines X (bnd_reverse_line Y);
% 7.31/6.86 ALL X Y.
% 7.31/6.86 bnd_right_apart_point X Y =
% 7.31/6.86 bnd_left_apart_point X (bnd_reverse_line Y);
% 7.31/6.86 ALL X Y.
% 7.31/6.86 bnd_unequally_directed_opposite_lines X Y =
% 7.31/6.86 bnd_unequally_directed_lines X (bnd_reverse_line Y) |]
% 7.31/6.86 ==> bnd_equal_lines (bnd_line_connecting A B) (bnd_line_connecting B A) &
% 7.31/6.86 bnd_equally_directed_lines (bnd_line_connecting B A)
% 7.31/6.86 (bnd_reverse_line (bnd_line_connecting A B))
% 7.31/6.86 Adding axioms...
% 7.31/6.87 Typedef.type_definition_def
% 12.11/11.61 ...done.
% 12.11/11.62 Ground types: ?'b, TPTP_Interpret.ind
% 12.11/11.62 Translating term (sizes: 1, 1) ...
% 15.32/14.83 Invoking SAT solver...
% 15.32/14.83 No model exists.
% 15.32/14.83 Translating term (sizes: 2, 1) ...
% 19.24/18.77 Invoking SAT solver...
% 19.43/18.94 No model exists.
% 19.43/18.94 Translating term (sizes: 1, 2) ...
% 35.16/34.68 Invoking SAT solver...
% 35.96/35.40 Model found:
% 35.96/35.40 Size of types: ?'b: 1, TPTP_Interpret.ind: 2
% 35.96/35.40 B: ??.TPTP_Interpret.ind0
% 35.96/35.40 A: ??.TPTP_Interpret.ind0
% 35.96/35.40 bnd_equal_lines: {(??.TPTP_Interpret.ind0,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)}),
% 35.96/35.40 (??.TPTP_Interpret.ind1,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)})}
% 35.96/35.40 bnd_right_convergent_lines: {(??.TPTP_Interpret.ind0,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)}),
% 35.96/35.40 (??.TPTP_Interpret.ind1,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)})}
% 35.96/35.40 bnd_equally_directed_opposite_lines: {(??.TPTP_Interpret.ind0,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True)}),
% 35.96/35.40 (??.TPTP_Interpret.ind1,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False)})}
% 35.96/35.40 bnd_unequally_directed_opposite_lines: {(??.TPTP_Interpret.ind0,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False)}),
% 35.96/35.40 (??.TPTP_Interpret.ind1,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True)})}
% 35.96/35.40 bnd_convergent_lines: {(??.TPTP_Interpret.ind0,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)}),
% 35.96/35.40 (??.TPTP_Interpret.ind1,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)})}
% 35.96/35.40 bnd_right_apart_point: {(??.TPTP_Interpret.ind0,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)}),
% 35.96/35.40 (??.TPTP_Interpret.ind1,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)})}
% 35.96/35.40 bnd_divides_points: {(??.TPTP_Interpret.ind0,
% 35.96/35.40 {(??.TPTP_Interpret.ind0,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)}),
% 35.96/35.40 (??.TPTP_Interpret.ind1,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)})}),
% 35.96/35.40 (??.TPTP_Interpret.ind1,
% 35.96/35.40 {(??.TPTP_Interpret.ind0,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)}),
% 35.96/35.40 (??.TPTP_Interpret.ind1,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)})})}
% 35.96/35.40 bnd_incident_point_and_line: {(??.TPTP_Interpret.ind0,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)}),
% 35.96/35.40 (??.TPTP_Interpret.ind1,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)})}
% 35.96/35.40 bnd_before_on_line: {(??.TPTP_Interpret.ind0,
% 35.96/35.40 {(??.TPTP_Interpret.ind0,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)}),
% 35.96/35.40 (??.TPTP_Interpret.ind1,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)})}),
% 35.96/35.40 (??.TPTP_Interpret.ind1,
% 35.96/35.40 {(??.TPTP_Interpret.ind0,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)}),
% 35.96/35.40 (??.TPTP_Interpret.ind1,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)})})}
% 35.96/35.40 bnd_between_on_line: {(??.TPTP_Interpret.ind0,
% 35.96/35.40 {(??.TPTP_Interpret.ind0,
% 35.96/35.40 {(??.TPTP_Interpret.ind0,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)}),
% 35.96/35.40 (??.TPTP_Interpret.ind1,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)})}),
% 35.96/35.40 (??.TPTP_Interpret.ind1,
% 35.96/35.40 {(??.TPTP_Interpret.ind0,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)}),
% 35.96/35.40 (??.TPTP_Interpret.ind1,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False),
% 35.96/35.40 (??.TPTP_Interpret.ind1, False)})})}),
% 35.96/35.40 (??.TPTP_Interpret.ind1,
% 35.96/35.40 {(??.TPTP_Interpret.ind0,
% 35.96/35.40 {(??.TPTP_Interpret.ind0,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)}),
% 35.96/35.40 (??.TPTP_Interpret.ind1,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)})}),
% 35.96/35.40 (??.TPTP_Interpret.ind1,
% 35.96/35.40 {(??.TPTP_Interpret.ind0,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)}),
% 35.96/35.40 (??.TPTP_Interpret.ind1,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False),
% 35.96/35.40 (??.TPTP_Interpret.ind1, False)})})})}
% 35.96/35.40 bnd_point: {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)}
% 35.96/35.40 bnd_line: {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)}
% 35.96/35.40 bnd_intersection_point: {(??.TPTP_Interpret.ind0,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 35.96/35.40 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)}),
% 35.96/35.40 (??.TPTP_Interpret.ind1,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 35.96/35.40 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)})}
% 35.96/35.40 bnd_apart_point_and_line: {(??.TPTP_Interpret.ind0,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)}),
% 35.96/35.40 (??.TPTP_Interpret.ind1,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)})}
% 35.96/35.40 bnd_parallel_through_point: {(??.TPTP_Interpret.ind0,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 35.96/35.40 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)}),
% 35.96/35.40 (??.TPTP_Interpret.ind1,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind1),
% 35.96/35.40 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1)})}
% 35.96/35.40 bnd_equally_directed_lines: {(??.TPTP_Interpret.ind0,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False)}),
% 35.96/35.40 (??.TPTP_Interpret.ind1,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True)})}
% 35.96/35.40 bnd_line_connecting: {(??.TPTP_Interpret.ind0,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 35.96/35.40 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)}),
% 35.96/35.40 (??.TPTP_Interpret.ind1,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 35.96/35.40 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)})}
% 35.96/35.40 bnd_distinct_points: {(??.TPTP_Interpret.ind0,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)}),
% 35.96/35.40 (??.TPTP_Interpret.ind1,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)})}
% 35.96/35.40 bnd_reverse_line: {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind1),
% 35.96/35.40 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)}
% 35.96/35.40 bnd_distinct_lines: {(??.TPTP_Interpret.ind0,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)}),
% 35.96/35.40 (??.TPTP_Interpret.ind1,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)})}
% 35.96/35.40 bnd_left_apart_point: {(??.TPTP_Interpret.ind0,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)}),
% 35.96/35.40 (??.TPTP_Interpret.ind1,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)})}
% 35.96/35.40 bnd_unequally_directed_lines: {(??.TPTP_Interpret.ind0,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True)}),
% 35.96/35.40 (??.TPTP_Interpret.ind1,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False)})}
% 35.96/35.40 bnd_left_convergent_lines: {(??.TPTP_Interpret.ind0,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)}),
% 35.96/35.40 (??.TPTP_Interpret.ind1,
% 35.96/35.40 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)})}
% 35.96/35.40
% 35.96/35.40 % SZS status CounterSatisfiable
%------------------------------------------------------------------------------