TSTP Solution File: GEO259+3 by Refute---2015

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Refute---2015
% Problem  : GEO259+3 : TPTP v6.4.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : isabelle tptp_refute %d %s

% Computer : n083.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 14:35:37 EDT 2016

% Result   : CounterSatisfiable 120.71s
% 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  : GEO259+3 : TPTP v6.4.0. Released v4.0.0.
% 0.00/0.04  % Command  : isabelle tptp_refute %d %s
% 0.03/0.23  % Computer : n083.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 15:07:24 CDT 2016
% 0.03/0.23  % CPUTime  : 
% 6.29/6.25  > val it = (): unit
% 6.49/6.48  Trying to find a model that refutes: ~ (bnd_between_on_line L A B C & bnd_between_on_line L B A C)
% 7.29/7.25  Unfolded term: [| ALL L M N.
% 7.29/7.25        bnd_left_convergent_lines L M -->
% 7.29/7.25        bnd_unequally_directed_lines M N | bnd_left_convergent_lines L N;
% 7.29/7.25     ALL A L M.
% 7.29/7.25        bnd_left_apart_point A L & bnd_unequally_directed_lines L M -->
% 7.29/7.25        bnd_distinct_lines L M | bnd_left_apart_point A (bnd_reverse_line M);
% 7.29/7.25     ALL A B L.
% 7.29/7.25        bnd_left_apart_point A L -->
% 7.29/7.25        bnd_distinct_points A B | bnd_left_apart_point B L;
% 7.29/7.25     ALL A B L.
% 7.29/7.25        bnd_distinct_points A B & bnd_left_apart_point A L -->
% 7.29/7.25        bnd_left_apart_point B L |
% 7.29/7.25        bnd_left_convergent_lines (bnd_line_connecting A B) L;
% 7.29/7.25     ALL A B L M.
% 7.29/7.25        bnd_distinct_points A B & bnd_distinct_lines L M -->
% 7.29/7.25        ((((((bnd_left_apart_point A L | bnd_left_apart_point B L) |
% 7.29/7.25             bnd_left_apart_point A M) |
% 7.29/7.25            bnd_left_apart_point B M) |
% 7.29/7.25           bnd_left_apart_point A (bnd_reverse_line L)) |
% 7.29/7.25          bnd_left_apart_point B (bnd_reverse_line L)) |
% 7.29/7.25         bnd_left_apart_point A (bnd_reverse_line M)) |
% 7.29/7.25        bnd_left_apart_point B (bnd_reverse_line M);
% 7.29/7.25     ALL A L. bnd_equally_directed_lines (bnd_parallel_through_point L A) L;
% 7.29/7.25     ALL A B.
% 7.29/7.25        bnd_distinct_points A B -->
% 7.29/7.25        bnd_equally_directed_lines (bnd_line_connecting A B)
% 7.29/7.25         (bnd_reverse_line (bnd_line_connecting B A));
% 7.29/7.25     ALL L. ~ bnd_distinct_lines L (bnd_reverse_line L);
% 7.29/7.25     ALL A L. ~ bnd_apart_point_and_line A (bnd_parallel_through_point L A);
% 7.29/7.25     ALL L M.
% 7.29/7.25        bnd_unequally_directed_lines L M &
% 7.29/7.25        bnd_unequally_directed_lines L (bnd_reverse_line M) -->
% 7.29/7.25        ~ bnd_apart_point_and_line (bnd_intersection_point L M) L &
% 7.29/7.25        ~ bnd_apart_point_and_line (bnd_intersection_point L M) M;
% 7.29/7.25     ALL A B.
% 7.29/7.25        bnd_distinct_points A B -->
% 7.29/7.25        ~ bnd_apart_point_and_line A (bnd_line_connecting A B) &
% 7.29/7.25        ~ bnd_apart_point_and_line B (bnd_line_connecting A B);
% 7.29/7.25     ALL L. bnd_line L --> bnd_line (bnd_reverse_line L);
% 7.29/7.25     ALL L A.
% 7.29/7.25        bnd_point A & bnd_line L -->
% 7.29/7.25        bnd_line (bnd_parallel_through_point L A);
% 7.29/7.25     ALL L M.
% 7.29/7.25        ((bnd_line L & bnd_line M) & bnd_unequally_directed_lines L M) &
% 7.29/7.25        bnd_unequally_directed_lines L (bnd_reverse_line M) -->
% 7.29/7.25        bnd_point (bnd_intersection_point L M);
% 7.29/7.25     ALL A B.
% 7.29/7.25        (bnd_point A & bnd_point B) & bnd_distinct_points A B -->
% 7.29/7.25        bnd_line (bnd_line_connecting A B);
% 7.29/7.25     ALL L M.
% 7.29/7.25        ~ (bnd_left_convergent_lines L M |
% 7.29/7.25           bnd_left_convergent_lines L (bnd_reverse_line M));
% 7.29/7.25     ALL A L.
% 7.29/7.25        ~ (bnd_left_apart_point A L |
% 7.29/7.25           bnd_left_apart_point A (bnd_reverse_line L));
% 7.29/7.25     ALL L M.
% 7.29/7.25        bnd_unequally_directed_lines L M &
% 7.29/7.25        bnd_unequally_directed_lines L (bnd_reverse_line M) -->
% 7.29/7.25        bnd_left_convergent_lines L M |
% 7.29/7.25        bnd_left_convergent_lines L (bnd_reverse_line M);
% 7.29/7.25     ALL L M.
% 7.29/7.25        bnd_unequally_directed_lines L M |
% 7.29/7.25        bnd_unequally_directed_lines L (bnd_reverse_line M);
% 7.29/7.25     ALL L M N.
% 7.29/7.25        bnd_unequally_directed_lines L M &
% 7.29/7.25        bnd_unequally_directed_lines L (bnd_reverse_line M) -->
% 7.29/7.25        bnd_unequally_directed_lines L N &
% 7.29/7.25        bnd_unequally_directed_lines L (bnd_reverse_line N) |
% 7.29/7.25        bnd_unequally_directed_lines M N &
% 7.29/7.25        bnd_unequally_directed_lines M (bnd_reverse_line N);
% 7.29/7.25     ALL L M N.
% 7.29/7.25        bnd_unequally_directed_lines L M -->
% 7.29/7.25        bnd_unequally_directed_lines L N | bnd_unequally_directed_lines M N;
% 7.29/7.25     ALL L. bnd_equally_directed_lines L L;
% 7.29/7.25     ALL L M N.
% 7.29/7.25        bnd_distinct_lines L M -->
% 7.29/7.25        bnd_distinct_lines L N | bnd_distinct_lines M N;
% 7.29/7.25     ALL L. ~ bnd_distinct_lines L L;
% 7.29/7.25     ALL A B C.
% 7.29/7.25        bnd_distinct_points A B -->
% 7.29/7.25        bnd_distinct_points A C | bnd_distinct_points B C;
% 7.29/7.25     ALL A. ~ bnd_distinct_points A A;
% 7.29/7.25     ALL L A B C.
% 7.29/7.25        bnd_between_on_line L A B C =
% 7.29/7.25        (bnd_before_on_line L A B & bnd_before_on_line L B C |
% 7.29/7.25         bnd_before_on_line L C B & bnd_before_on_line L B A);
% 7.29/7.25     ALL L A B.
% 7.29/7.25        bnd_before_on_line L A B =
% 7.29/7.25        (((bnd_distinct_points A B & bnd_incident_point_and_line A L) &
% 7.29/7.25          bnd_incident_point_and_line B L) &
% 7.29/7.25         bnd_equally_directed_lines L (bnd_line_connecting A B));
% 7.29/7.25     ALL A B L.
% 7.29/7.25        bnd_divides_points L A B =
% 7.29/7.25        (bnd_left_apart_point A L & bnd_right_apart_point B L |
% 7.29/7.25         bnd_right_apart_point A L & bnd_left_apart_point B L);
% 7.29/7.25     ALL L M.
% 7.29/7.25        bnd_convergent_lines L M =
% 7.29/7.25        (bnd_unequally_directed_lines L M &
% 7.29/7.25         bnd_unequally_directed_opposite_lines L M);
% 7.29/7.25     ALL A L.
% 7.29/7.25        bnd_apart_point_and_line A L =
% 7.29/7.25        (bnd_left_apart_point A L | bnd_right_apart_point A L);
% 7.29/7.25     ALL X Y.
% 7.29/7.25        bnd_equally_directed_opposite_lines X Y =
% 7.29/7.25        (~ bnd_unequally_directed_opposite_lines X Y);
% 7.29/7.25     ALL X Y.
% 7.29/7.25        bnd_equally_directed_lines X Y = (~ bnd_unequally_directed_lines X Y);
% 7.29/7.25     ALL X Y.
% 7.29/7.25        bnd_right_convergent_lines X Y =
% 7.29/7.25        bnd_left_convergent_lines X (bnd_reverse_line Y);
% 7.29/7.25     ALL X Y.
% 7.29/7.25        bnd_right_apart_point X Y =
% 7.29/7.25        bnd_left_apart_point X (bnd_reverse_line Y);
% 7.29/7.25     ALL X Y.
% 7.29/7.25        bnd_unequally_directed_opposite_lines X Y =
% 7.29/7.25        bnd_unequally_directed_lines X (bnd_reverse_line Y) |]
% 7.29/7.25  ==> ~ (bnd_between_on_line L A B C & bnd_between_on_line L B A C)
% 7.29/7.25  Adding axioms...
% 7.29/7.26  Typedef.type_definition_def
% 12.00/11.90   ...done.
% 12.00/11.91  Ground types: ?'b, TPTP_Interpret.ind
% 12.00/11.91  Translating term (sizes: 1, 1) ...
% 15.20/15.11  Invoking SAT solver...
% 15.20/15.11  No model exists.
% 15.20/15.11  Translating term (sizes: 2, 1) ...
% 19.11/19.01  Invoking SAT solver...
% 19.11/19.01  No model exists.
% 19.11/19.01  Translating term (sizes: 1, 2) ...
% 35.04/34.90  Invoking SAT solver...
% 35.04/34.91  No model exists.
% 35.04/34.91  Translating term (sizes: 3, 1) ...
% 41.25/41.18  Invoking SAT solver...
% 41.25/41.18  No model exists.
% 41.25/41.18  Translating term (sizes: 2, 2) ...
% 64.91/64.78  Invoking SAT solver...
% 64.91/64.79  No model exists.
% 64.91/64.79  Translating term (sizes: 1, 3) ...
% 118.50/118.19  Invoking SAT solver...
% 120.71/120.39  Model found:
% 120.71/120.39  Size of types: ?'b: 1, TPTP_Interpret.ind: 3
% 120.71/120.39  C: ??.TPTP_Interpret.ind2
% 120.71/120.39  B: ??.TPTP_Interpret.ind1
% 120.71/120.39  A: ??.TPTP_Interpret.ind0
% 120.71/120.39  L: ??.TPTP_Interpret.ind0
% 120.71/120.39  bnd_right_convergent_lines: {(??.TPTP_Interpret.ind0,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39     (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39   (??.TPTP_Interpret.ind1,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39     (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39   (??.TPTP_Interpret.ind2,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39     (??.TPTP_Interpret.ind2, False)})}
% 120.71/120.39  bnd_equally_directed_opposite_lines: {(??.TPTP_Interpret.ind0,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True),
% 120.71/120.39     (??.TPTP_Interpret.ind2, True)}),
% 120.71/120.39   (??.TPTP_Interpret.ind1,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39     (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39   (??.TPTP_Interpret.ind2,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39     (??.TPTP_Interpret.ind2, False)})}
% 120.71/120.39  bnd_unequally_directed_opposite_lines: {(??.TPTP_Interpret.ind0,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39     (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39   (??.TPTP_Interpret.ind1,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True),
% 120.71/120.39     (??.TPTP_Interpret.ind2, True)}),
% 120.71/120.39   (??.TPTP_Interpret.ind2,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True),
% 120.71/120.39     (??.TPTP_Interpret.ind2, True)})}
% 120.71/120.39  bnd_convergent_lines: {(??.TPTP_Interpret.ind0,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39     (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39   (??.TPTP_Interpret.ind1,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39     (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39   (??.TPTP_Interpret.ind2,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39     (??.TPTP_Interpret.ind2, False)})}
% 120.71/120.39  bnd_right_apart_point: {(??.TPTP_Interpret.ind0,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39     (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39   (??.TPTP_Interpret.ind1,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39     (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39   (??.TPTP_Interpret.ind2,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39     (??.TPTP_Interpret.ind2, False)})}
% 120.71/120.39  bnd_divides_points: {(??.TPTP_Interpret.ind0,
% 120.71/120.39    {(??.TPTP_Interpret.ind0,
% 120.71/120.39      {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39       (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39     (??.TPTP_Interpret.ind1,
% 120.71/120.39      {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39       (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39     (??.TPTP_Interpret.ind2,
% 120.71/120.39      {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39       (??.TPTP_Interpret.ind2, False)})}),
% 120.71/120.39   (??.TPTP_Interpret.ind1,
% 120.71/120.39    {(??.TPTP_Interpret.ind0,
% 120.71/120.39      {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39       (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39     (??.TPTP_Interpret.ind1,
% 120.71/120.39      {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39       (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39     (??.TPTP_Interpret.ind2,
% 120.71/120.39      {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39       (??.TPTP_Interpret.ind2, False)})}),
% 120.71/120.39   (??.TPTP_Interpret.ind2,
% 120.71/120.39    {(??.TPTP_Interpret.ind0,
% 120.71/120.39      {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39       (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39     (??.TPTP_Interpret.ind1,
% 120.71/120.39      {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39       (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39     (??.TPTP_Interpret.ind2,
% 120.71/120.39      {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39       (??.TPTP_Interpret.ind2, False)})})}
% 120.71/120.39  bnd_incident_point_and_line: {(??.TPTP_Interpret.ind0,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True),
% 120.71/120.39     (??.TPTP_Interpret.ind2, True)}),
% 120.71/120.39   (??.TPTP_Interpret.ind1,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True),
% 120.71/120.39     (??.TPTP_Interpret.ind2, True)}),
% 120.71/120.39   (??.TPTP_Interpret.ind2,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True),
% 120.71/120.39     (??.TPTP_Interpret.ind2, True)})}
% 120.71/120.39  bnd_before_on_line: {(??.TPTP_Interpret.ind0,
% 120.71/120.39    {(??.TPTP_Interpret.ind0,
% 120.71/120.39      {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39       (??.TPTP_Interpret.ind2, True)}),
% 120.71/120.39     (??.TPTP_Interpret.ind1,
% 120.71/120.39      {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39       (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39     (??.TPTP_Interpret.ind2,
% 120.71/120.39      {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True),
% 120.71/120.39       (??.TPTP_Interpret.ind2, False)})}),
% 120.71/120.39   (??.TPTP_Interpret.ind1,
% 120.71/120.39    {(??.TPTP_Interpret.ind0,
% 120.71/120.39      {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True),
% 120.71/120.39       (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39     (??.TPTP_Interpret.ind1,
% 120.71/120.39      {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39       (??.TPTP_Interpret.ind2, True)}),
% 120.71/120.39     (??.TPTP_Interpret.ind2,
% 120.71/120.39      {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39       (??.TPTP_Interpret.ind2, False)})}),
% 120.71/120.39   (??.TPTP_Interpret.ind2,
% 120.71/120.39    {(??.TPTP_Interpret.ind0,
% 120.71/120.39      {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True),
% 120.71/120.39       (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39     (??.TPTP_Interpret.ind1,
% 120.71/120.39      {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39       (??.TPTP_Interpret.ind2, True)}),
% 120.71/120.39     (??.TPTP_Interpret.ind2,
% 120.71/120.39      {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39       (??.TPTP_Interpret.ind2, False)})})}
% 120.71/120.39  bnd_between_on_line: {(??.TPTP_Interpret.ind0,
% 120.71/120.39    {(??.TPTP_Interpret.ind0,
% 120.71/120.39      {(??.TPTP_Interpret.ind0,
% 120.71/120.39        {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39         (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39       (??.TPTP_Interpret.ind1,
% 120.71/120.39        {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39         (??.TPTP_Interpret.ind2, True)}),
% 120.71/120.39       (??.TPTP_Interpret.ind2,
% 120.71/120.39        {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True),
% 120.71/120.39         (??.TPTP_Interpret.ind2, False)})}),
% 120.71/120.39     (??.TPTP_Interpret.ind1,
% 120.71/120.39      {(??.TPTP_Interpret.ind0,
% 120.71/120.39        {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39         (??.TPTP_Interpret.ind2, True)}),
% 120.71/120.39       (??.TPTP_Interpret.ind1,
% 120.71/120.39        {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39         (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39       (??.TPTP_Interpret.ind2,
% 120.71/120.39        {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39         (??.TPTP_Interpret.ind2, False)})}),
% 120.71/120.39     (??.TPTP_Interpret.ind2,
% 120.71/120.39      {(??.TPTP_Interpret.ind0,
% 120.71/120.39        {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True),
% 120.71/120.39         (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39       (??.TPTP_Interpret.ind1,
% 120.71/120.39        {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39         (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39       (??.TPTP_Interpret.ind2,
% 120.71/120.39        {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39         (??.TPTP_Interpret.ind2, False)})})}),
% 120.71/120.39   (??.TPTP_Interpret.ind1,
% 120.71/120.39    {(??.TPTP_Interpret.ind0,
% 120.71/120.39      {(??.TPTP_Interpret.ind0,
% 120.71/120.39        {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39         (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39       (??.TPTP_Interpret.ind1,
% 120.71/120.39        {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39         (??.TPTP_Interpret.ind2, True)}),
% 120.71/120.39       (??.TPTP_Interpret.ind2,
% 120.71/120.39        {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True),
% 120.71/120.39         (??.TPTP_Interpret.ind2, False)})}),
% 120.71/120.39     (??.TPTP_Interpret.ind1,
% 120.71/120.39      {(??.TPTP_Interpret.ind0,
% 120.71/120.39        {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39         (??.TPTP_Interpret.ind2, True)}),
% 120.71/120.39       (??.TPTP_Interpret.ind1,
% 120.71/120.39        {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39         (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39       (??.TPTP_Interpret.ind2,
% 120.71/120.39        {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39         (??.TPTP_Interpret.ind2, False)})}),
% 120.71/120.39     (??.TPTP_Interpret.ind2,
% 120.71/120.39      {(??.TPTP_Interpret.ind0,
% 120.71/120.39        {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True),
% 120.71/120.39         (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39       (??.TPTP_Interpret.ind1,
% 120.71/120.39        {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39         (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39       (??.TPTP_Interpret.ind2,
% 120.71/120.39        {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39         (??.TPTP_Interpret.ind2, False)})})}),
% 120.71/120.39   (??.TPTP_Interpret.ind2,
% 120.71/120.39    {(??.TPTP_Interpret.ind0,
% 120.71/120.39      {(??.TPTP_Interpret.ind0,
% 120.71/120.39        {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39         (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39       (??.TPTP_Interpret.ind1,
% 120.71/120.39        {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39         (??.TPTP_Interpret.ind2, True)}),
% 120.71/120.39       (??.TPTP_Interpret.ind2,
% 120.71/120.39        {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True),
% 120.71/120.39         (??.TPTP_Interpret.ind2, False)})}),
% 120.71/120.39     (??.TPTP_Interpret.ind1,
% 120.71/120.39      {(??.TPTP_Interpret.ind0,
% 120.71/120.39        {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39         (??.TPTP_Interpret.ind2, True)}),
% 120.71/120.39       (??.TPTP_Interpret.ind1,
% 120.71/120.39        {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39         (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39       (??.TPTP_Interpret.ind2,
% 120.71/120.39        {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39         (??.TPTP_Interpret.ind2, False)})}),
% 120.71/120.39     (??.TPTP_Interpret.ind2,
% 120.71/120.39      {(??.TPTP_Interpret.ind0,
% 120.71/120.39        {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True),
% 120.71/120.39         (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39       (??.TPTP_Interpret.ind1,
% 120.71/120.39        {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39         (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39       (??.TPTP_Interpret.ind2,
% 120.71/120.39        {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39         (??.TPTP_Interpret.ind2, False)})})})}
% 120.71/120.39  bnd_point: {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True),
% 120.71/120.39   (??.TPTP_Interpret.ind2, True)}
% 120.71/120.39  bnd_line: {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True),
% 120.71/120.39   (??.TPTP_Interpret.ind2, True)}
% 120.71/120.39  bnd_intersection_point: {(??.TPTP_Interpret.ind0,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 120.71/120.39     (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0),
% 120.71/120.39     (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind0)}),
% 120.71/120.39   (??.TPTP_Interpret.ind1,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 120.71/120.39     (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0),
% 120.71/120.39     (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind0)}),
% 120.71/120.39   (??.TPTP_Interpret.ind2,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 120.71/120.39     (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0),
% 120.71/120.39     (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind0)})}
% 120.71/120.39  bnd_apart_point_and_line: {(??.TPTP_Interpret.ind0,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39     (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39   (??.TPTP_Interpret.ind1,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39     (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39   (??.TPTP_Interpret.ind2,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39     (??.TPTP_Interpret.ind2, False)})}
% 120.71/120.39  bnd_parallel_through_point: {(??.TPTP_Interpret.ind0,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 120.71/120.39     (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0),
% 120.71/120.39     (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind0)}),
% 120.71/120.39   (??.TPTP_Interpret.ind1,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind1),
% 120.71/120.39     (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1),
% 120.71/120.39     (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind1)}),
% 120.71/120.39   (??.TPTP_Interpret.ind2,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind1),
% 120.71/120.39     (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1),
% 120.71/120.39     (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind1)})}
% 120.71/120.39  bnd_equally_directed_lines: {(??.TPTP_Interpret.ind0,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39     (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39   (??.TPTP_Interpret.ind1,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True),
% 120.71/120.39     (??.TPTP_Interpret.ind2, True)}),
% 120.71/120.39   (??.TPTP_Interpret.ind2,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True),
% 120.71/120.39     (??.TPTP_Interpret.ind2, True)})}
% 120.71/120.39  bnd_line_connecting: {(??.TPTP_Interpret.ind0,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 120.71/120.39     (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1),
% 120.71/120.39     (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind0)}),
% 120.71/120.39   (??.TPTP_Interpret.ind1,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 120.71/120.39     (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0),
% 120.71/120.39     (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind1)}),
% 120.71/120.39   (??.TPTP_Interpret.ind2,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind1),
% 120.71/120.39     (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0),
% 120.71/120.39     (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind0)})}
% 120.71/120.39  bnd_distinct_points: {(??.TPTP_Interpret.ind0,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True),
% 120.71/120.39     (??.TPTP_Interpret.ind2, True)}),
% 120.71/120.39   (??.TPTP_Interpret.ind1,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39     (??.TPTP_Interpret.ind2, True)}),
% 120.71/120.39   (??.TPTP_Interpret.ind2,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True),
% 120.71/120.39     (??.TPTP_Interpret.ind2, False)})}
% 120.71/120.39  bnd_reverse_line: {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind1),
% 120.71/120.39   (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0),
% 120.71/120.39   (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind0)}
% 120.71/120.39  bnd_distinct_lines: {(??.TPTP_Interpret.ind0,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39     (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39   (??.TPTP_Interpret.ind1,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39     (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39   (??.TPTP_Interpret.ind2,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39     (??.TPTP_Interpret.ind2, False)})}
% 120.71/120.39  bnd_left_apart_point: {(??.TPTP_Interpret.ind0,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39     (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39   (??.TPTP_Interpret.ind1,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39     (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39   (??.TPTP_Interpret.ind2,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39     (??.TPTP_Interpret.ind2, False)})}
% 120.71/120.39  bnd_unequally_directed_lines: {(??.TPTP_Interpret.ind0,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True),
% 120.71/120.39     (??.TPTP_Interpret.ind2, True)}),
% 120.71/120.39   (??.TPTP_Interpret.ind1,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39     (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39   (??.TPTP_Interpret.ind2,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39     (??.TPTP_Interpret.ind2, False)})}
% 120.71/120.39  bnd_left_convergent_lines: {(??.TPTP_Interpret.ind0,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39     (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39   (??.TPTP_Interpret.ind1,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39     (??.TPTP_Interpret.ind2, False)}),
% 120.71/120.39   (??.TPTP_Interpret.ind2,
% 120.71/120.39    {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False),
% 120.71/120.39     (??.TPTP_Interpret.ind2, False)})}
% 120.71/120.39  
% 120.71/120.39  % SZS status CounterSatisfiable
%------------------------------------------------------------------------------