TMTP Model File: GEO162-1.002-FMo
View Problem
- Process Model
%------------------------------------------------------------------------------
% File : Paradox---4.0
% Problem : GEO162-1 : TPTP v6.2.0. Released v2.7.0.
% Transform : none
% Format : tptp:short
% Command : paradox --no-progress --time %d --tstp --model %s
% Computer : n154.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32286.75MB
% OS : Linux 2.6.32-573.1.1.el6.x86_64
% CPULimit : 300s
% DateTime : Wed Aug 5 05:21:35 EDT 2015
% Result : Satisfiable 0.02s
% Output : FiniteModel 0.02s
% Verified :
% Statistics : Number of formulae : 18 ( 18 expanded)
% Number of leaves : 18 ( 18 expanded)
% Depth : 0
% Number of atoms : 451 ( 451 expanded)
% Number of equality atoms : 233 ( 233 expanded)
% Maximal formula depth : 65 ( 20 average)
% Maximal term depth : 2 ( 1 average)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Paradox---4.0 format not known, defaulting to TPTP
% domain size is 4
fof(domain,fi_domain,(
! [X] :
( X = "1"
| X = "2"
| X = "3"
| X = "4" ) )).
fof(a_point_not_on_line,fi_functors,
( a_point_not_on_line("1") = "2"
& a_point_not_on_line("2") = "4"
& a_point_not_on_line("3") = "1"
& a_point_not_on_line("4") = "3" )).
fof(a_point_not_on_plane,fi_functors,
( a_point_not_on_plane("1") = "1"
& a_point_not_on_plane("2") = "2"
& a_point_not_on_plane("3") = "2"
& a_point_not_on_plane("4") = "3" )).
fof(a_point_on_plane,fi_functors,
( a_point_on_plane("1") = "2"
& a_point_on_plane("2") = "4"
& a_point_on_plane("3") = "1"
& a_point_on_plane("4") = "1" )).
fof(at_least_one_line,fi_functors,(
at_least_one_line = "1" )).
fof(collinear,fi_predicates,
( ( collinear("1","1","1")
<=> $false )
& ( collinear("1","1","2")
<=> $false )
& ( collinear("1","1","3")
<=> $false )
& ( collinear("1","1","4")
<=> $false )
& ( collinear("1","2","1")
<=> $false )
& ( collinear("1","2","2")
<=> $false )
& ( collinear("1","2","3")
<=> $true )
& ( collinear("1","2","4")
<=> $false )
& ( collinear("1","3","1")
<=> $false )
& ( collinear("1","3","2")
<=> $true )
& ( collinear("1","3","3")
<=> $false )
& ( collinear("1","3","4")
<=> $false )
& ( collinear("1","4","1")
<=> $false )
& ( collinear("1","4","2")
<=> $false )
& ( collinear("1","4","3")
<=> $false )
& ( collinear("1","4","4")
<=> $false )
& ( collinear("2","1","1")
<=> $false )
& ( collinear("2","1","2")
<=> $false )
& ( collinear("2","1","3")
<=> $true )
& ( collinear("2","1","4")
<=> $false )
& ( collinear("2","2","1")
<=> $false )
& ( collinear("2","2","2")
<=> $false )
& ( collinear("2","2","3")
<=> $false )
& ( collinear("2","2","4")
<=> $false )
& ( collinear("2","3","1")
<=> $true )
& ( collinear("2","3","2")
<=> $false )
& ( collinear("2","3","3")
<=> $false )
& ( collinear("2","3","4")
<=> $false )
& ( collinear("2","4","1")
<=> $false )
& ( collinear("2","4","2")
<=> $false )
& ( collinear("2","4","3")
<=> $false )
& ( collinear("2","4","4")
<=> $false )
& ( collinear("3","1","1")
<=> $false )
& ( collinear("3","1","2")
<=> $true )
& ( collinear("3","1","3")
<=> $false )
& ( collinear("3","1","4")
<=> $false )
& ( collinear("3","2","1")
<=> $true )
& ( collinear("3","2","2")
<=> $false )
& ( collinear("3","2","3")
<=> $false )
& ( collinear("3","2","4")
<=> $false )
& ( collinear("3","3","1")
<=> $false )
& ( collinear("3","3","2")
<=> $false )
& ( collinear("3","3","3")
<=> $false )
& ( collinear("3","3","4")
<=> $false )
& ( collinear("3","4","1")
<=> $false )
& ( collinear("3","4","2")
<=> $false )
& ( collinear("3","4","3")
<=> $false )
& ( collinear("3","4","4")
<=> $false )
& ( collinear("4","1","1")
<=> $false )
& ( collinear("4","1","2")
<=> $false )
& ( collinear("4","1","3")
<=> $false )
& ( collinear("4","1","4")
<=> $false )
& ( collinear("4","2","1")
<=> $false )
& ( collinear("4","2","2")
<=> $false )
& ( collinear("4","2","3")
<=> $false )
& ( collinear("4","2","4")
<=> $false )
& ( collinear("4","3","1")
<=> $false )
& ( collinear("4","3","2")
<=> $false )
& ( collinear("4","3","3")
<=> $false )
& ( collinear("4","3","4")
<=> $false )
& ( collinear("4","4","1")
<=> $false )
& ( collinear("4","4","2")
<=> $false )
& ( collinear("4","4","3")
<=> $false )
& ( collinear("4","4","4")
<=> $false ) )).
fof(common_point_on_planes,fi_functors,
( common_point_on_planes("1","1","1") = "1"
& common_point_on_planes("1","1","2") = "1"
& common_point_on_planes("1","1","3") = "2"
& common_point_on_planes("1","1","4") = "4"
& common_point_on_planes("1","2","1") = "1"
& common_point_on_planes("1","2","2") = "1"
& common_point_on_planes("1","2","3") = "2"
& common_point_on_planes("1","2","4") = "2"
& common_point_on_planes("1","3","1") = "2"
& common_point_on_planes("1","3","2") = "2"
& common_point_on_planes("1","3","3") = "4"
& common_point_on_planes("1","3","4") = "3"
& common_point_on_planes("1","4","1") = "2"
& common_point_on_planes("1","4","2") = "4"
& common_point_on_planes("1","4","3") = "2"
& common_point_on_planes("1","4","4") = "2"
& common_point_on_planes("2","1","1") = "1"
& common_point_on_planes("2","1","2") = "1"
& common_point_on_planes("2","1","3") = "1"
& common_point_on_planes("2","1","4") = "3"
& common_point_on_planes("2","2","1") = "1"
& common_point_on_planes("2","2","2") = "1"
& common_point_on_planes("2","2","3") = "1"
& common_point_on_planes("2","2","4") = "3"
& common_point_on_planes("2","3","1") = "1"
& common_point_on_planes("2","3","2") = "1"
& common_point_on_planes("2","3","3") = "1"
& common_point_on_planes("2","3","4") = "3"
& common_point_on_planes("2","4","1") = "1"
& common_point_on_planes("2","4","2") = "2"
& common_point_on_planes("2","4","3") = "2"
& common_point_on_planes("2","4","4") = "4"
& common_point_on_planes("3","1","1") = "1"
& common_point_on_planes("3","1","2") = "1"
& common_point_on_planes("3","1","3") = "4"
& common_point_on_planes("3","1","4") = "3"
& common_point_on_planes("3","2","1") = "2"
& common_point_on_planes("3","2","2") = "2"
& common_point_on_planes("3","2","3") = "1"
& common_point_on_planes("3","2","4") = "4"
& common_point_on_planes("3","3","1") = "1"
& common_point_on_planes("3","3","2") = "1"
& common_point_on_planes("3","3","3") = "1"
& common_point_on_planes("3","3","4") = "4"
& common_point_on_planes("3","4","1") = "4"
& common_point_on_planes("3","4","2") = "2"
& common_point_on_planes("3","4","3") = "2"
& common_point_on_planes("3","4","4") = "1"
& common_point_on_planes("4","1","1") = "2"
& common_point_on_planes("4","1","2") = "4"
& common_point_on_planes("4","1","3") = "3"
& common_point_on_planes("4","1","4") = "2"
& common_point_on_planes("4","2","1") = "3"
& common_point_on_planes("4","2","2") = "3"
& common_point_on_planes("4","2","3") = "3"
& common_point_on_planes("4","2","4") = "3"
& common_point_on_planes("4","3","1") = "4"
& common_point_on_planes("4","3","2") = "2"
& common_point_on_planes("4","3","3") = "3"
& common_point_on_planes("4","3","4") = "1"
& common_point_on_planes("4","4","1") = "1"
& common_point_on_planes("4","4","2") = "1"
& common_point_on_planes("4","4","3") = "1"
& common_point_on_planes("4","4","4") = "1" )).
fof(line,fi_predicates,
( ( line("1")
<=> $true )
& ( line("2")
<=> $true )
& ( line("3")
<=> $true )
& ( line("4")
<=> $true ) )).
fof(line_from_to,fi_functors,
( line_from_to("1","1") = "4"
& line_from_to("1","2") = "2"
& line_from_to("1","3") = "2"
& line_from_to("1","4") = "4"
& line_from_to("2","1") = "2"
& line_from_to("2","2") = "1"
& line_from_to("2","3") = "2"
& line_from_to("2","4") = "3"
& line_from_to("3","1") = "2"
& line_from_to("3","2") = "2"
& line_from_to("3","3") = "3"
& line_from_to("3","4") = "1"
& line_from_to("4","1") = "4"
& line_from_to("4","2") = "3"
& line_from_to("4","3") = "1"
& line_from_to("4","4") = "4" )).
fof(line_on_plane,fi_predicates,(
! [X1,X2] :
( line_on_plane(X1,X2)
<=> $true ) )).
fof(line_through_3_points,fi_functors,
( line_through_3_points("1","1","1") = "1"
& line_through_3_points("1","1","2") = "4"
& line_through_3_points("1","1","3") = "1"
& line_through_3_points("1","1","4") = "1"
& line_through_3_points("1","2","1") = "1"
& line_through_3_points("1","2","2") = "1"
& line_through_3_points("1","2","3") = "2"
& line_through_3_points("1","2","4") = "3"
& line_through_3_points("1","3","1") = "2"
& line_through_3_points("1","3","2") = "2"
& line_through_3_points("1","3","3") = "4"
& line_through_3_points("1","3","4") = "3"
& line_through_3_points("1","4","1") = "3"
& line_through_3_points("1","4","2") = "1"
& line_through_3_points("1","4","3") = "3"
& line_through_3_points("1","4","4") = "3"
& line_through_3_points("2","1","1") = "2"
& line_through_3_points("2","1","2") = "3"
& line_through_3_points("2","1","3") = "2"
& line_through_3_points("2","1","4") = "2"
& line_through_3_points("2","2","1") = "4"
& line_through_3_points("2","2","2") = "2"
& line_through_3_points("2","2","3") = "1"
& line_through_3_points("2","2","4") = "1"
& line_through_3_points("2","3","1") = "2"
& line_through_3_points("2","3","2") = "1"
& line_through_3_points("2","3","3") = "1"
& line_through_3_points("2","3","4") = "4"
& line_through_3_points("2","4","1") = "3"
& line_through_3_points("2","4","2") = "1"
& line_through_3_points("2","4","3") = "1"
& line_through_3_points("2","4","4") = "1"
& line_through_3_points("3","1","1") = "2"
& line_through_3_points("3","1","2") = "2"
& line_through_3_points("3","1","3") = "2"
& line_through_3_points("3","1","4") = "3"
& line_through_3_points("3","2","1") = "2"
& line_through_3_points("3","2","2") = "1"
& line_through_3_points("3","2","3") = "1"
& line_through_3_points("3","2","4") = "1"
& line_through_3_points("3","3","1") = "2"
& line_through_3_points("3","3","2") = "3"
& line_through_3_points("3","3","3") = "1"
& line_through_3_points("3","3","4") = "1"
& line_through_3_points("3","4","1") = "1"
& line_through_3_points("3","4","2") = "2"
& line_through_3_points("3","4","3") = "1"
& line_through_3_points("3","4","4") = "1"
& line_through_3_points("4","1","1") = "1"
& line_through_3_points("4","1","2") = "2"
& line_through_3_points("4","1","3") = "3"
& line_through_3_points("4","1","4") = "3"
& line_through_3_points("4","2","1") = "3"
& line_through_3_points("4","2","2") = "3"
& line_through_3_points("4","2","3") = "3"
& line_through_3_points("4","2","4") = "3"
& line_through_3_points("4","3","1") = "1"
& line_through_3_points("4","3","2") = "3"
& line_through_3_points("4","3","3") = "3"
& line_through_3_points("4","3","4") = "3"
& line_through_3_points("4","4","1") = "3"
& line_through_3_points("4","4","2") = "3"
& line_through_3_points("4","4","3") = "3"
& line_through_3_points("4","4","4") = "3" )).
fof(plane,fi_predicates,
( ( plane("1")
<=> $true )
& ( plane("2")
<=> $false )
& ( plane("3")
<=> $true )
& ( plane("4")
<=> $true ) )).
fof(plane_for_points,fi_functors,
( plane_for_points("1","1","1") = "1"
& plane_for_points("1","1","2") = "1"
& plane_for_points("1","1","3") = "1"
& plane_for_points("1","1","4") = "3"
& plane_for_points("1","2","1") = "1"
& plane_for_points("1","2","2") = "1"
& plane_for_points("1","2","3") = "1"
& plane_for_points("1","2","4") = "4"
& plane_for_points("1","3","1") = "2"
& plane_for_points("1","3","2") = "2"
& plane_for_points("1","3","3") = "2"
& plane_for_points("1","3","4") = "3"
& plane_for_points("1","4","1") = "3"
& plane_for_points("1","4","2") = "4"
& plane_for_points("1","4","3") = "3"
& plane_for_points("1","4","4") = "2"
& plane_for_points("2","1","1") = "1"
& plane_for_points("2","1","2") = "1"
& plane_for_points("2","1","3") = "4"
& plane_for_points("2","1","4") = "4"
& plane_for_points("2","2","1") = "1"
& plane_for_points("2","2","2") = "1"
& plane_for_points("2","2","3") = "1"
& plane_for_points("2","2","4") = "3"
& plane_for_points("2","3","1") = "1"
& plane_for_points("2","3","2") = "1"
& plane_for_points("2","3","3") = "1"
& plane_for_points("2","3","4") = "1"
& plane_for_points("2","4","1") = "4"
& plane_for_points("2","4","2") = "3"
& plane_for_points("2","4","3") = "1"
& plane_for_points("2","4","4") = "3"
& plane_for_points("3","1","1") = "1"
& plane_for_points("3","1","2") = "3"
& plane_for_points("3","1","3") = "1"
& plane_for_points("3","1","4") = "3"
& plane_for_points("3","2","1") = "2"
& plane_for_points("3","2","2") = "1"
& plane_for_points("3","2","3") = "1"
& plane_for_points("3","2","4") = "1"
& plane_for_points("3","3","1") = "2"
& plane_for_points("3","3","2") = "3"
& plane_for_points("3","3","3") = "2"
& plane_for_points("3","3","4") = "3"
& plane_for_points("3","4","1") = "3"
& plane_for_points("3","4","2") = "1"
& plane_for_points("3","4","3") = "3"
& plane_for_points("3","4","4") = "3"
& plane_for_points("4","1","1") = "3"
& plane_for_points("4","1","2") = "4"
& plane_for_points("4","1","3") = "3"
& plane_for_points("4","1","4") = "2"
& plane_for_points("4","2","1") = "4"
& plane_for_points("4","2","2") = "3"
& plane_for_points("4","2","3") = "1"
& plane_for_points("4","2","4") = "3"
& plane_for_points("4","3","1") = "3"
& plane_for_points("4","3","2") = "1"
& plane_for_points("4","3","3") = "3"
& plane_for_points("4","3","4") = "3"
& plane_for_points("4","4","1") = "3"
& plane_for_points("4","4","2") = "3"
& plane_for_points("4","4","3") = "3"
& plane_for_points("4","4","4") = "3" )).
fof(point,fi_predicates,
( ( point("1")
<=> $true )
& ( point("2")
<=> $true )
& ( point("3")
<=> $true )
& ( point("4")
<=> $true ) )).
fof(point_1_on_line,fi_functors,
( point_1_on_line("1") = "3"
& point_1_on_line("2") = "2"
& point_1_on_line("3") = "4"
& point_1_on_line("4") = "4" )).
fof(point_2_on_line,fi_functors,
( point_2_on_line("1") = "4"
& point_2_on_line("2") = "3"
& point_2_on_line("3") = "2"
& point_2_on_line("4") = "1" )).
fof(point_on_line,fi_predicates,
( ( point_on_line("1","1")
<=> $false )
& ( point_on_line("1","2")
<=> $true )
& ( point_on_line("1","3")
<=> $false )
& ( point_on_line("1","4")
<=> $true )
& ( point_on_line("2","1")
<=> $false )
& ( point_on_line("2","2")
<=> $true )
& ( point_on_line("2","3")
<=> $true )
& ( point_on_line("2","4")
<=> $false )
& ( point_on_line("3","1")
<=> $true )
& ( point_on_line("3","2")
<=> $true )
& ( point_on_line("3","3")
<=> $false )
& ( point_on_line("3","4")
<=> $false )
& ( point_on_line("4","1")
<=> $true )
& ( point_on_line("4","2")
<=> $false )
& ( point_on_line("4","3")
<=> $true )
& ( point_on_line("4","4")
<=> $true ) )).
fof(point_on_plane,fi_predicates,
( ( point_on_plane("1","1")
<=> $false )
& ( point_on_plane("1","2")
<=> $false )
& ( point_on_plane("1","3")
<=> $true )
& ( point_on_plane("1","4")
<=> $true )
& ( point_on_plane("2","1")
<=> $true )
& ( point_on_plane("2","2")
<=> $false )
& ( point_on_plane("2","3")
<=> $false )
& ( point_on_plane("2","4")
<=> $true )
& ( point_on_plane("3","1")
<=> $true )
& ( point_on_plane("3","2")
<=> $false )
& ( point_on_plane("3","3")
<=> $true )
& ( point_on_plane("3","4")
<=> $false )
& ( point_on_plane("4","1")
<=> $true )
& ( point_on_plane("4","2")
<=> $false )
& ( point_on_plane("4","3")
<=> $true )
& ( point_on_plane("4","4")
<=> $true ) )).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO162-1 : TPTP v6.2.0. Released v2.7.0.
% 0.00/0.02 % Command : paradox --no-progress --time %d --tstp --model %s
% 0.00/1.05 % Computer : n154.star.cs.uiowa.edu
% 0.00/1.05 % Model : x86_64 x86_64
% 0.00/1.05 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.00/1.05 % Memory : 32286.75MB
% 0.00/1.05 % OS : Linux 2.6.32-573.1.1.el6.x86_64
% 0.00/1.05 % CPULimit : 300
% 0.00/1.05 % DateTime : Mon Aug 3 19:39:26 CDT 2015
% 0.00/1.05 % CPUTime :
% 0.00/1.06 Paradox, version 4.0, 2010-06-29.
% 0.00/1.06 +++ PROBLEM: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.00/1.06 Reading '/export/starexec/sandbox/benchmark/theBenchmark.p' ... OK
% 0.00/1.06 Reading 'Axioms/GEO005-0.ax' ... ('/export/starexec/sandbox/benchmark/Axioms/GEO005-0.ax') OK
% 0.00/1.07 +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/1.12 +++ BEGIN MODEL
% 0.02/1.12 SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/1.12 % domain size is 4
% 0.02/1.12 fof(domain, fi_domain,
% 0.02/1.12 (![X] : (X = "1" | X = "2" | X = "3" | X = "4"))
% 0.02/1.12 ).
% 0.02/1.12
% 0.02/1.12 fof(a_point_not_on_line, fi_functors,
% 0.02/1.12 ( (a_point_not_on_line("1") = "2")
% 0.02/1.12 & (a_point_not_on_line("2") = "4")
% 0.02/1.12 & (a_point_not_on_line("3") = "1")
% 0.02/1.12 & (a_point_not_on_line("4") = "3")
% 0.02/1.12 )
% 0.02/1.12 ).
% 0.02/1.12
% 0.02/1.12 fof(a_point_not_on_plane, fi_functors,
% 0.02/1.12 ( (a_point_not_on_plane("1") = "1")
% 0.02/1.12 & (a_point_not_on_plane("2") = "2")
% 0.02/1.12 & (a_point_not_on_plane("3") = "2")
% 0.02/1.12 & (a_point_not_on_plane("4") = "3")
% 0.02/1.12 )
% 0.02/1.12 ).
% 0.02/1.12
% 0.02/1.12 fof(a_point_on_plane, fi_functors,
% 0.02/1.12 ( (a_point_on_plane("1") = "2")
% 0.02/1.12 & (a_point_on_plane("2") = "4")
% 0.02/1.12 & (a_point_on_plane("3") = "1")
% 0.02/1.12 & (a_point_on_plane("4") = "1")
% 0.02/1.12 )
% 0.02/1.12 ).
% 0.02/1.12
% 0.02/1.12 fof(at_least_one_line, fi_functors,
% 0.02/1.12 ( (at_least_one_line = "1")
% 0.02/1.12 )
% 0.02/1.12 ).
% 0.02/1.12
% 0.02/1.12 fof(collinear, fi_predicates,
% 0.02/1.12 ( (collinear("1","1","1") <=> $false)
% 0.02/1.12 & (collinear("1","1","2") <=> $false)
% 0.02/1.12 & (collinear("1","1","3") <=> $false)
% 0.02/1.12 & (collinear("1","1","4") <=> $false)
% 0.02/1.12 & (collinear("1","2","1") <=> $false)
% 0.02/1.12 & (collinear("1","2","2") <=> $false)
% 0.02/1.12 & (collinear("1","2","3") <=> $true)
% 0.02/1.12 & (collinear("1","2","4") <=> $false)
% 0.02/1.12 & (collinear("1","3","1") <=> $false)
% 0.02/1.12 & (collinear("1","3","2") <=> $true)
% 0.02/1.12 & (collinear("1","3","3") <=> $false)
% 0.02/1.12 & (collinear("1","3","4") <=> $false)
% 0.02/1.12 & (collinear("1","4","1") <=> $false)
% 0.02/1.12 & (collinear("1","4","2") <=> $false)
% 0.02/1.12 & (collinear("1","4","3") <=> $false)
% 0.02/1.12 & (collinear("1","4","4") <=> $false)
% 0.02/1.12 & (collinear("2","1","1") <=> $false)
% 0.02/1.12 & (collinear("2","1","2") <=> $false)
% 0.02/1.12 & (collinear("2","1","3") <=> $true)
% 0.02/1.12 & (collinear("2","1","4") <=> $false)
% 0.02/1.12 & (collinear("2","2","1") <=> $false)
% 0.02/1.12 & (collinear("2","2","2") <=> $false)
% 0.02/1.12 & (collinear("2","2","3") <=> $false)
% 0.02/1.12 & (collinear("2","2","4") <=> $false)
% 0.02/1.12 & (collinear("2","3","1") <=> $true)
% 0.02/1.12 & (collinear("2","3","2") <=> $false)
% 0.02/1.12 & (collinear("2","3","3") <=> $false)
% 0.02/1.12 & (collinear("2","3","4") <=> $false)
% 0.02/1.12 & (collinear("2","4","1") <=> $false)
% 0.02/1.12 & (collinear("2","4","2") <=> $false)
% 0.02/1.12 & (collinear("2","4","3") <=> $false)
% 0.02/1.12 & (collinear("2","4","4") <=> $false)
% 0.02/1.12 & (collinear("3","1","1") <=> $false)
% 0.02/1.12 & (collinear("3","1","2") <=> $true)
% 0.02/1.12 & (collinear("3","1","3") <=> $false)
% 0.02/1.12 & (collinear("3","1","4") <=> $false)
% 0.02/1.12 & (collinear("3","2","1") <=> $true)
% 0.02/1.12 & (collinear("3","2","2") <=> $false)
% 0.02/1.12 & (collinear("3","2","3") <=> $false)
% 0.02/1.12 & (collinear("3","2","4") <=> $false)
% 0.02/1.12 & (collinear("3","3","1") <=> $false)
% 0.02/1.12 & (collinear("3","3","2") <=> $false)
% 0.02/1.12 & (collinear("3","3","3") <=> $false)
% 0.02/1.12 & (collinear("3","3","4") <=> $false)
% 0.02/1.12 & (collinear("3","4","1") <=> $false)
% 0.02/1.12 & (collinear("3","4","2") <=> $false)
% 0.02/1.12 & (collinear("3","4","3") <=> $false)
% 0.02/1.12 & (collinear("3","4","4") <=> $false)
% 0.02/1.12 & (collinear("4","1","1") <=> $false)
% 0.02/1.12 & (collinear("4","1","2") <=> $false)
% 0.02/1.12 & (collinear("4","1","3") <=> $false)
% 0.02/1.12 & (collinear("4","1","4") <=> $false)
% 0.02/1.12 & (collinear("4","2","1") <=> $false)
% 0.02/1.12 & (collinear("4","2","2") <=> $false)
% 0.02/1.12 & (collinear("4","2","3") <=> $false)
% 0.02/1.12 & (collinear("4","2","4") <=> $false)
% 0.02/1.12 & (collinear("4","3","1") <=> $false)
% 0.02/1.12 & (collinear("4","3","2") <=> $false)
% 0.02/1.12 & (collinear("4","3","3") <=> $false)
% 0.02/1.12 & (collinear("4","3","4") <=> $false)
% 0.02/1.12 & (collinear("4","4","1") <=> $false)
% 0.02/1.12 & (collinear("4","4","2") <=> $false)
% 0.02/1.12 & (collinear("4","4","3") <=> $false)
% 0.02/1.12 & (collinear("4","4","4") <=> $false)
% 0.02/1.12 )
% 0.02/1.12 ).
% 0.02/1.12
% 0.02/1.12 fof(common_point_on_planes, fi_functors,
% 0.02/1.12 ( (common_point_on_planes("1","1","1") = "1")
% 0.02/1.12 & (common_point_on_planes("1","1","2") = "1")
% 0.02/1.12 & (common_point_on_planes("1","1","3") = "2")
% 0.02/1.12 & (common_point_on_planes("1","1","4") = "4")
% 0.02/1.12 & (common_point_on_planes("1","2","1") = "1")
% 0.02/1.12 & (common_point_on_planes("1","2","2") = "1")
% 0.02/1.12 & (common_point_on_planes("1","2","3") = "2")
% 0.02/1.12 & (common_point_on_planes("1","2","4") = "2")
% 0.02/1.12 & (common_point_on_planes("1","3","1") = "2")
% 0.02/1.12 & (common_point_on_planes("1","3","2") = "2")
% 0.02/1.12 & (common_point_on_planes("1","3","3") = "4")
% 0.02/1.12 & (common_point_on_planes("1","3","4") = "3")
% 0.02/1.12 & (common_point_on_planes("1","4","1") = "2")
% 0.02/1.12 & (common_point_on_planes("1","4","2") = "4")
% 0.02/1.12 & (common_point_on_planes("1","4","3") = "2")
% 0.02/1.12 & (common_point_on_planes("1","4","4") = "2")
% 0.02/1.12 & (common_point_on_planes("2","1","1") = "1")
% 0.02/1.12 & (common_point_on_planes("2","1","2") = "1")
% 0.02/1.12 & (common_point_on_planes("2","1","3") = "1")
% 0.02/1.12 & (common_point_on_planes("2","1","4") = "3")
% 0.02/1.12 & (common_point_on_planes("2","2","1") = "1")
% 0.02/1.12 & (common_point_on_planes("2","2","2") = "1")
% 0.02/1.12 & (common_point_on_planes("2","2","3") = "1")
% 0.02/1.12 & (common_point_on_planes("2","2","4") = "3")
% 0.02/1.12 & (common_point_on_planes("2","3","1") = "1")
% 0.02/1.12 & (common_point_on_planes("2","3","2") = "1")
% 0.02/1.12 & (common_point_on_planes("2","3","3") = "1")
% 0.02/1.12 & (common_point_on_planes("2","3","4") = "3")
% 0.02/1.12 & (common_point_on_planes("2","4","1") = "1")
% 0.02/1.12 & (common_point_on_planes("2","4","2") = "2")
% 0.02/1.12 & (common_point_on_planes("2","4","3") = "2")
% 0.02/1.12 & (common_point_on_planes("2","4","4") = "4")
% 0.02/1.12 & (common_point_on_planes("3","1","1") = "1")
% 0.02/1.12 & (common_point_on_planes("3","1","2") = "1")
% 0.02/1.12 & (common_point_on_planes("3","1","3") = "4")
% 0.02/1.12 & (common_point_on_planes("3","1","4") = "3")
% 0.02/1.12 & (common_point_on_planes("3","2","1") = "2")
% 0.02/1.12 & (common_point_on_planes("3","2","2") = "2")
% 0.02/1.12 & (common_point_on_planes("3","2","3") = "1")
% 0.02/1.12 & (common_point_on_planes("3","2","4") = "4")
% 0.02/1.12 & (common_point_on_planes("3","3","1") = "1")
% 0.02/1.12 & (common_point_on_planes("3","3","2") = "1")
% 0.02/1.12 & (common_point_on_planes("3","3","3") = "1")
% 0.02/1.12 & (common_point_on_planes("3","3","4") = "4")
% 0.02/1.12 & (common_point_on_planes("3","4","1") = "4")
% 0.02/1.12 & (common_point_on_planes("3","4","2") = "2")
% 0.02/1.12 & (common_point_on_planes("3","4","3") = "2")
% 0.02/1.12 & (common_point_on_planes("3","4","4") = "1")
% 0.02/1.12 & (common_point_on_planes("4","1","1") = "2")
% 0.02/1.12 & (common_point_on_planes("4","1","2") = "4")
% 0.02/1.12 & (common_point_on_planes("4","1","3") = "3")
% 0.02/1.12 & (common_point_on_planes("4","1","4") = "2")
% 0.02/1.12 & (common_point_on_planes("4","2","1") = "3")
% 0.02/1.12 & (common_point_on_planes("4","2","2") = "3")
% 0.02/1.12 & (common_point_on_planes("4","2","3") = "3")
% 0.02/1.12 & (common_point_on_planes("4","2","4") = "3")
% 0.02/1.12 & (common_point_on_planes("4","3","1") = "4")
% 0.02/1.12 & (common_point_on_planes("4","3","2") = "2")
% 0.02/1.12 & (common_point_on_planes("4","3","3") = "3")
% 0.02/1.12 & (common_point_on_planes("4","3","4") = "1")
% 0.02/1.12 & (common_point_on_planes("4","4","1") = "1")
% 0.02/1.12 & (common_point_on_planes("4","4","2") = "1")
% 0.02/1.12 & (common_point_on_planes("4","4","3") = "1")
% 0.02/1.12 & (common_point_on_planes("4","4","4") = "1")
% 0.02/1.12 )
% 0.02/1.12 ).
% 0.02/1.12
% 0.02/1.12 fof(line, fi_predicates,
% 0.02/1.12 ( (line("1") <=> $true)
% 0.02/1.12 & (line("2") <=> $true)
% 0.02/1.12 & (line("3") <=> $true)
% 0.02/1.12 & (line("4") <=> $true)
% 0.02/1.12 )
% 0.02/1.12 ).
% 0.02/1.12
% 0.02/1.12 fof(line_from_to, fi_functors,
% 0.02/1.12 ( (line_from_to("1","1") = "4")
% 0.02/1.12 & (line_from_to("1","2") = "2")
% 0.02/1.12 & (line_from_to("1","3") = "2")
% 0.02/1.12 & (line_from_to("1","4") = "4")
% 0.02/1.12 & (line_from_to("2","1") = "2")
% 0.02/1.12 & (line_from_to("2","2") = "1")
% 0.02/1.12 & (line_from_to("2","3") = "2")
% 0.02/1.12 & (line_from_to("2","4") = "3")
% 0.02/1.12 & (line_from_to("3","1") = "2")
% 0.02/1.12 & (line_from_to("3","2") = "2")
% 0.02/1.12 & (line_from_to("3","3") = "3")
% 0.02/1.12 & (line_from_to("3","4") = "1")
% 0.02/1.12 & (line_from_to("4","1") = "4")
% 0.02/1.12 & (line_from_to("4","2") = "3")
% 0.02/1.12 & (line_from_to("4","3") = "1")
% 0.02/1.12 & (line_from_to("4","4") = "4")
% 0.02/1.12 )
% 0.02/1.12 ).
% 0.02/1.12
% 0.02/1.12 fof(line_on_plane, fi_predicates,
% 0.02/1.12 ( ![X1,X2] : (line_on_plane(X1,X2) <=> $true)
% 0.02/1.12 )
% 0.02/1.12 ).
% 0.02/1.12
% 0.02/1.12 fof(line_through_3_points, fi_functors,
% 0.02/1.12 ( (line_through_3_points("1","1","1") = "1")
% 0.02/1.12 & (line_through_3_points("1","1","2") = "4")
% 0.02/1.12 & (line_through_3_points("1","1","3") = "1")
% 0.02/1.12 & (line_through_3_points("1","1","4") = "1")
% 0.02/1.12 & (line_through_3_points("1","2","1") = "1")
% 0.02/1.12 & (line_through_3_points("1","2","2") = "1")
% 0.02/1.12 & (line_through_3_points("1","2","3") = "2")
% 0.02/1.12 & (line_through_3_points("1","2","4") = "3")
% 0.02/1.12 & (line_through_3_points("1","3","1") = "2")
% 0.02/1.12 & (line_through_3_points("1","3","2") = "2")
% 0.02/1.12 & (line_through_3_points("1","3","3") = "4")
% 0.02/1.12 & (line_through_3_points("1","3","4") = "3")
% 0.02/1.12 & (line_through_3_points("1","4","1") = "3")
% 0.02/1.12 & (line_through_3_points("1","4","2") = "1")
% 0.02/1.12 & (line_through_3_points("1","4","3") = "3")
% 0.02/1.12 & (line_through_3_points("1","4","4") = "3")
% 0.02/1.12 & (line_through_3_points("2","1","1") = "2")
% 0.02/1.12 & (line_through_3_points("2","1","2") = "3")
% 0.02/1.12 & (line_through_3_points("2","1","3") = "2")
% 0.02/1.12 & (line_through_3_points("2","1","4") = "2")
% 0.02/1.12 & (line_through_3_points("2","2","1") = "4")
% 0.02/1.12 & (line_through_3_points("2","2","2") = "2")
% 0.02/1.12 & (line_through_3_points("2","2","3") = "1")
% 0.02/1.12 & (line_through_3_points("2","2","4") = "1")
% 0.02/1.12 & (line_through_3_points("2","3","1") = "2")
% 0.02/1.12 & (line_through_3_points("2","3","2") = "1")
% 0.02/1.12 & (line_through_3_points("2","3","3") = "1")
% 0.02/1.12 & (line_through_3_points("2","3","4") = "4")
% 0.02/1.12 & (line_through_3_points("2","4","1") = "3")
% 0.02/1.12 & (line_through_3_points("2","4","2") = "1")
% 0.02/1.12 & (line_through_3_points("2","4","3") = "1")
% 0.02/1.12 & (line_through_3_points("2","4","4") = "1")
% 0.02/1.12 & (line_through_3_points("3","1","1") = "2")
% 0.02/1.12 & (line_through_3_points("3","1","2") = "2")
% 0.02/1.12 & (line_through_3_points("3","1","3") = "2")
% 0.02/1.12 & (line_through_3_points("3","1","4") = "3")
% 0.02/1.12 & (line_through_3_points("3","2","1") = "2")
% 0.02/1.12 & (line_through_3_points("3","2","2") = "1")
% 0.02/1.12 & (line_through_3_points("3","2","3") = "1")
% 0.02/1.12 & (line_through_3_points("3","2","4") = "1")
% 0.02/1.12 & (line_through_3_points("3","3","1") = "2")
% 0.02/1.12 & (line_through_3_points("3","3","2") = "3")
% 0.02/1.12 & (line_through_3_points("3","3","3") = "1")
% 0.02/1.12 & (line_through_3_points("3","3","4") = "1")
% 0.02/1.12 & (line_through_3_points("3","4","1") = "1")
% 0.02/1.12 & (line_through_3_points("3","4","2") = "2")
% 0.02/1.12 & (line_through_3_points("3","4","3") = "1")
% 0.02/1.12 & (line_through_3_points("3","4","4") = "1")
% 0.02/1.12 & (line_through_3_points("4","1","1") = "1")
% 0.02/1.12 & (line_through_3_points("4","1","2") = "2")
% 0.02/1.12 & (line_through_3_points("4","1","3") = "3")
% 0.02/1.12 & (line_through_3_points("4","1","4") = "3")
% 0.02/1.12 & (line_through_3_points("4","2","1") = "3")
% 0.02/1.12 & (line_through_3_points("4","2","2") = "3")
% 0.02/1.12 & (line_through_3_points("4","2","3") = "3")
% 0.02/1.12 & (line_through_3_points("4","2","4") = "3")
% 0.02/1.12 & (line_through_3_points("4","3","1") = "1")
% 0.02/1.12 & (line_through_3_points("4","3","2") = "3")
% 0.02/1.12 & (line_through_3_points("4","3","3") = "3")
% 0.02/1.12 & (line_through_3_points("4","3","4") = "3")
% 0.02/1.12 & (line_through_3_points("4","4","1") = "3")
% 0.02/1.12 & (line_through_3_points("4","4","2") = "3")
% 0.02/1.12 & (line_through_3_points("4","4","3") = "3")
% 0.02/1.12 & (line_through_3_points("4","4","4") = "3")
% 0.02/1.12 )
% 0.02/1.12 ).
% 0.02/1.12
% 0.02/1.12 fof(plane, fi_predicates,
% 0.02/1.12 ( (plane("1") <=> $true)
% 0.02/1.12 & (plane("2") <=> $false)
% 0.02/1.12 & (plane("3") <=> $true)
% 0.02/1.12 & (plane("4") <=> $true)
% 0.02/1.12 )
% 0.02/1.12 ).
% 0.02/1.12
% 0.02/1.12 fof(plane_for_points, fi_functors,
% 0.02/1.12 ( (plane_for_points("1","1","1") = "1")
% 0.02/1.12 & (plane_for_points("1","1","2") = "1")
% 0.02/1.12 & (plane_for_points("1","1","3") = "1")
% 0.02/1.12 & (plane_for_points("1","1","4") = "3")
% 0.02/1.12 & (plane_for_points("1","2","1") = "1")
% 0.02/1.12 & (plane_for_points("1","2","2") = "1")
% 0.02/1.12 & (plane_for_points("1","2","3") = "1")
% 0.02/1.12 & (plane_for_points("1","2","4") = "4")
% 0.02/1.12 & (plane_for_points("1","3","1") = "2")
% 0.02/1.12 & (plane_for_points("1","3","2") = "2")
% 0.02/1.12 & (plane_for_points("1","3","3") = "2")
% 0.02/1.12 & (plane_for_points("1","3","4") = "3")
% 0.02/1.12 & (plane_for_points("1","4","1") = "3")
% 0.02/1.12 & (plane_for_points("1","4","2") = "4")
% 0.02/1.12 & (plane_for_points("1","4","3") = "3")
% 0.02/1.12 & (plane_for_points("1","4","4") = "2")
% 0.02/1.12 & (plane_for_points("2","1","1") = "1")
% 0.02/1.12 & (plane_for_points("2","1","2") = "1")
% 0.02/1.12 & (plane_for_points("2","1","3") = "4")
% 0.02/1.12 & (plane_for_points("2","1","4") = "4")
% 0.02/1.12 & (plane_for_points("2","2","1") = "1")
% 0.02/1.12 & (plane_for_points("2","2","2") = "1")
% 0.02/1.12 & (plane_for_points("2","2","3") = "1")
% 0.02/1.12 & (plane_for_points("2","2","4") = "3")
% 0.02/1.12 & (plane_for_points("2","3","1") = "1")
% 0.02/1.12 & (plane_for_points("2","3","2") = "1")
% 0.02/1.12 & (plane_for_points("2","3","3") = "1")
% 0.02/1.12 & (plane_for_points("2","3","4") = "1")
% 0.02/1.12 & (plane_for_points("2","4","1") = "4")
% 0.02/1.12 & (plane_for_points("2","4","2") = "3")
% 0.02/1.12 & (plane_for_points("2","4","3") = "1")
% 0.02/1.12 & (plane_for_points("2","4","4") = "3")
% 0.02/1.12 & (plane_for_points("3","1","1") = "1")
% 0.02/1.12 & (plane_for_points("3","1","2") = "3")
% 0.02/1.12 & (plane_for_points("3","1","3") = "1")
% 0.02/1.12 & (plane_for_points("3","1","4") = "3")
% 0.02/1.12 & (plane_for_points("3","2","1") = "2")
% 0.02/1.12 & (plane_for_points("3","2","2") = "1")
% 0.02/1.12 & (plane_for_points("3","2","3") = "1")
% 0.02/1.12 & (plane_for_points("3","2","4") = "1")
% 0.02/1.12 & (plane_for_points("3","3","1") = "2")
% 0.02/1.12 & (plane_for_points("3","3","2") = "3")
% 0.02/1.12 & (plane_for_points("3","3","3") = "2")
% 0.02/1.12 & (plane_for_points("3","3","4") = "3")
% 0.02/1.12 & (plane_for_points("3","4","1") = "3")
% 0.02/1.12 & (plane_for_points("3","4","2") = "1")
% 0.02/1.12 & (plane_for_points("3","4","3") = "3")
% 0.02/1.12 & (plane_for_points("3","4","4") = "3")
% 0.02/1.12 & (plane_for_points("4","1","1") = "3")
% 0.02/1.12 & (plane_for_points("4","1","2") = "4")
% 0.02/1.12 & (plane_for_points("4","1","3") = "3")
% 0.02/1.12 & (plane_for_points("4","1","4") = "2")
% 0.02/1.12 & (plane_for_points("4","2","1") = "4")
% 0.02/1.12 & (plane_for_points("4","2","2") = "3")
% 0.02/1.12 & (plane_for_points("4","2","3") = "1")
% 0.02/1.12 & (plane_for_points("4","2","4") = "3")
% 0.02/1.12 & (plane_for_points("4","3","1") = "3")
% 0.02/1.12 & (plane_for_points("4","3","2") = "1")
% 0.02/1.12 & (plane_for_points("4","3","3") = "3")
% 0.02/1.12 & (plane_for_points("4","3","4") = "3")
% 0.02/1.12 & (plane_for_points("4","4","1") = "3")
% 0.02/1.12 & (plane_for_points("4","4","2") = "3")
% 0.02/1.12 & (plane_for_points("4","4","3") = "3")
% 0.02/1.12 & (plane_for_points("4","4","4") = "3")
% 0.02/1.12 )
% 0.02/1.12 ).
% 0.02/1.12
% 0.02/1.12 fof(point, fi_predicates,
% 0.02/1.12 ( (point("1") <=> $true)
% 0.02/1.12 & (point("2") <=> $true)
% 0.02/1.12 & (point("3") <=> $true)
% 0.02/1.13 & (point("4") <=> $true)
% 0.02/1.13 )
% 0.02/1.13 ).
% 0.02/1.13
% 0.02/1.13 fof(point_1_on_line, fi_functors,
% 0.02/1.13 ( (point_1_on_line("1") = "3")
% 0.02/1.13 & (point_1_on_line("2") = "2")
% 0.02/1.13 & (point_1_on_line("3") = "4")
% 0.02/1.13 & (point_1_on_line("4") = "4")
% 0.02/1.13 )
% 0.02/1.13 ).
% 0.02/1.13
% 0.02/1.13 fof(point_2_on_line, fi_functors,
% 0.02/1.13 ( (point_2_on_line("1") = "4")
% 0.02/1.13 & (point_2_on_line("2") = "3")
% 0.02/1.13 & (point_2_on_line("3") = "2")
% 0.02/1.13 & (point_2_on_line("4") = "1")
% 0.02/1.13 )
% 0.02/1.13 ).
% 0.02/1.13
% 0.02/1.13 fof(point_on_line, fi_predicates,
% 0.02/1.13 ( (point_on_line("1","1") <=> $false)
% 0.02/1.13 & (point_on_line("1","2") <=> $true)
% 0.02/1.13 & (point_on_line("1","3") <=> $false)
% 0.02/1.13 & (point_on_line("1","4") <=> $true)
% 0.02/1.13 & (point_on_line("2","1") <=> $false)
% 0.02/1.13 & (point_on_line("2","2") <=> $true)
% 0.02/1.13 & (point_on_line("2","3") <=> $true)
% 0.02/1.13 & (point_on_line("2","4") <=> $false)
% 0.02/1.13 & (point_on_line("3","1") <=> $true)
% 0.02/1.13 & (point_on_line("3","2") <=> $true)
% 0.02/1.13 & (point_on_line("3","3") <=> $false)
% 0.02/1.13 & (point_on_line("3","4") <=> $false)
% 0.02/1.13 & (point_on_line("4","1") <=> $true)
% 0.02/1.13 & (point_on_line("4","2") <=> $false)
% 0.02/1.13 & (point_on_line("4","3") <=> $true)
% 0.02/1.13 & (point_on_line("4","4") <=> $true)
% 0.02/1.13 )
% 0.02/1.13 ).
% 0.02/1.13
% 0.02/1.13 fof(point_on_plane, fi_predicates,
% 0.02/1.13 ( (point_on_plane("1","1") <=> $false)
% 0.02/1.13 & (point_on_plane("1","2") <=> $false)
% 0.02/1.13 & (point_on_plane("1","3") <=> $true)
% 0.02/1.13 & (point_on_plane("1","4") <=> $true)
% 0.02/1.13 & (point_on_plane("2","1") <=> $true)
% 0.02/1.13 & (point_on_plane("2","2") <=> $false)
% 0.02/1.13 & (point_on_plane("2","3") <=> $false)
% 0.02/1.13 & (point_on_plane("2","4") <=> $true)
% 0.02/1.13 & (point_on_plane("3","1") <=> $true)
% 0.02/1.13 & (point_on_plane("3","2") <=> $false)
% 0.02/1.13 & (point_on_plane("3","3") <=> $true)
% 0.02/1.13 & (point_on_plane("3","4") <=> $false)
% 0.02/1.13 & (point_on_plane("4","1") <=> $true)
% 0.02/1.13 & (point_on_plane("4","2") <=> $false)
% 0.02/1.13 & (point_on_plane("4","3") <=> $true)
% 0.02/1.13 & (point_on_plane("4","4") <=> $true)
% 0.02/1.13 )
% 0.02/1.13 ).
% 0.02/1.13 SZS output end FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/1.13 +++ END MODEL
% 0.02/1.13 +++ RESULT: Satisfiable
% 0.02/1.13 SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------