TSTP Solution File: GEO078-7 by Paradox---4.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Paradox---4.0
% Problem : GEO078-7 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:short
% Command : paradox --no-progress --time %d --tstp --model %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 05:45:52 EDT 2022
% Result : Satisfiable 0.20s 0.41s
% Output : FiniteModel 0.20s
% Verified :
% SZS Type : FiniteModel
% Domain size : 4
% Comments :
%------------------------------------------------------------------------------
% domain size is 4
fof(domain,fi_domain,
! [X] :
( X = "1"
| X = "2"
| X = "3"
| X = "4" ) ).
fof(a_plane,fi_functors,
a_plane = "1" ).
fof(a_point_not_on_line,fi_functors,
( a_point_not_on_line("1") = "3"
& a_point_not_on_line("2") = "2"
& a_point_not_on_line("3") = "1"
& a_point_not_on_line("4") = "2" ) ).
fof(a_point_not_on_plane,fi_functors,
( a_point_not_on_plane("1") = "3"
& a_point_not_on_plane("2") = "2"
& a_point_not_on_plane("3") = "4"
& a_point_not_on_plane("4") = "1" ) ).
fof(a_point_on_plane,fi_functors,
( a_point_on_plane("1") = "1"
& a_point_on_plane("2") = "1"
& a_point_on_plane("3") = "2"
& a_point_on_plane("4") = "3" ) ).
fof(at_least_one_line,fi_functors,
at_least_one_line = "1" ).
fof(collinear,fi_predicates,
( ( collinear("1","1","1")
<=> $true )
& ( 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")
<=> $false )
& ( collinear("1","2","4")
<=> $true )
& ( collinear("1","3","1")
<=> $false )
& ( collinear("1","3","2")
<=> $false )
& ( collinear("1","3","3")
<=> $false )
& ( collinear("1","3","4")
<=> $false )
& ( collinear("1","4","1")
<=> $false )
& ( collinear("1","4","2")
<=> $true )
& ( collinear("1","4","3")
<=> $false )
& ( collinear("1","4","4")
<=> $false )
& ( collinear("2","1","1")
<=> $false )
& ( collinear("2","1","2")
<=> $false )
& ( collinear("2","1","3")
<=> $false )
& ( collinear("2","1","4")
<=> $true )
& ( collinear("2","2","1")
<=> $false )
& ( collinear("2","2","2")
<=> $true )
& ( collinear("2","2","3")
<=> $false )
& ( collinear("2","2","4")
<=> $false )
& ( collinear("2","3","1")
<=> $false )
& ( collinear("2","3","2")
<=> $false )
& ( collinear("2","3","3")
<=> $false )
& ( collinear("2","3","4")
<=> $false )
& ( collinear("2","4","1")
<=> $true )
& ( collinear("2","4","2")
<=> $false )
& ( collinear("2","4","3")
<=> $false )
& ( collinear("2","4","4")
<=> $false )
& ( collinear("3","1","1")
<=> $false )
& ( collinear("3","1","2")
<=> $false )
& ( collinear("3","1","3")
<=> $false )
& ( collinear("3","1","4")
<=> $false )
& ( collinear("3","2","1")
<=> $false )
& ( 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")
<=> $true )
& ( 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")
<=> $true )
& ( collinear("4","1","3")
<=> $false )
& ( collinear("4","1","4")
<=> $false )
& ( collinear("4","2","1")
<=> $true )
& ( 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") = "4"
& common_point_on_planes("1","1","3") = "4"
& common_point_on_planes("1","1","4") = "3"
& common_point_on_planes("1","2","1") = "4"
& common_point_on_planes("1","2","2") = "4"
& common_point_on_planes("1","2","3") = "2"
& common_point_on_planes("1","2","4") = "1"
& common_point_on_planes("1","3","1") = "2"
& common_point_on_planes("1","3","2") = "1"
& common_point_on_planes("1","3","3") = "2"
& common_point_on_planes("1","3","4") = "3"
& common_point_on_planes("1","4","1") = "3"
& common_point_on_planes("1","4","2") = "4"
& common_point_on_planes("1","4","3") = "1"
& common_point_on_planes("1","4","4") = "2"
& common_point_on_planes("2","1","1") = "4"
& common_point_on_planes("2","1","2") = "2"
& common_point_on_planes("2","1","3") = "2"
& common_point_on_planes("2","1","4") = "1"
& 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") = "3"
& 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") = "3"
& common_point_on_planes("2","4","2") = "3"
& common_point_on_planes("2","4","3") = "4"
& common_point_on_planes("2","4","4") = "3"
& common_point_on_planes("3","1","1") = "2"
& common_point_on_planes("3","1","2") = "1"
& common_point_on_planes("3","1","3") = "2"
& common_point_on_planes("3","1","4") = "3"
& common_point_on_planes("3","2","1") = "3"
& common_point_on_planes("3","2","2") = "1"
& common_point_on_planes("3","2","3") = "1"
& common_point_on_planes("3","2","4") = "3"
& common_point_on_planes("3","3","1") = "1"
& common_point_on_planes("3","3","2") = "1"
& common_point_on_planes("3","3","3") = "2"
& common_point_on_planes("3","3","4") = "3"
& common_point_on_planes("3","4","1") = "3"
& common_point_on_planes("3","4","2") = "3"
& common_point_on_planes("3","4","3") = "2"
& common_point_on_planes("3","4","4") = "3"
& common_point_on_planes("4","1","1") = "3"
& common_point_on_planes("4","1","2") = "4"
& common_point_on_planes("4","1","3") = "1"
& 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") = "4"
& common_point_on_planes("4","2","4") = "3"
& common_point_on_planes("4","3","1") = "3"
& common_point_on_planes("4","3","2") = "3"
& common_point_on_planes("4","3","3") = "2"
& common_point_on_planes("4","3","4") = "3"
& common_point_on_planes("4","4","1") = "3"
& common_point_on_planes("4","4","2") = "3"
& common_point_on_planes("4","4","3") = "3"
& common_point_on_planes("4","4","4") = "3" ) ).
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") = "1"
& line_from_to("1","2") = "1"
& line_from_to("1","3") = "2"
& line_from_to("1","4") = "1"
& line_from_to("2","1") = "1"
& line_from_to("2","2") = "1"
& line_from_to("2","3") = "3"
& line_from_to("2","4") = "1"
& line_from_to("3","1") = "2"
& line_from_to("3","2") = "3"
& line_from_to("3","3") = "2"
& line_from_to("3","4") = "4"
& line_from_to("4","1") = "1"
& line_from_to("4","2") = "1"
& line_from_to("4","3") = "4"
& line_from_to("4","4") = "3" ) ).
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") = "1"
& line_through_3_points("1","1","3") = "3"
& line_through_3_points("1","1","4") = "3"
& line_through_3_points("1","2","1") = "1"
& line_through_3_points("1","2","2") = "2"
& line_through_3_points("1","2","3") = "2"
& line_through_3_points("1","2","4") = "1"
& line_through_3_points("1","3","1") = "2"
& line_through_3_points("1","3","2") = "2"
& line_through_3_points("1","3","3") = "2"
& 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") = "3"
& line_through_3_points("2","1","2") = "2"
& line_through_3_points("2","1","3") = "2"
& line_through_3_points("2","1","4") = "1"
& line_through_3_points("2","2","1") = "1"
& line_through_3_points("2","2","2") = "3"
& line_through_3_points("2","2","3") = "2"
& line_through_3_points("2","2","4") = "3"
& line_through_3_points("2","3","1") = "3"
& line_through_3_points("2","3","2") = "2"
& line_through_3_points("2","3","3") = "2"
& line_through_3_points("2","3","4") = "2"
& line_through_3_points("2","4","1") = "1"
& line_through_3_points("2","4","2") = "3"
& line_through_3_points("2","4","3") = "3"
& line_through_3_points("2","4","4") = "3"
& line_through_3_points("3","1","1") = "2"
& line_through_3_points("3","1","2") = "4"
& line_through_3_points("3","1","3") = "2"
& line_through_3_points("3","1","4") = "2"
& line_through_3_points("3","2","1") = "1"
& line_through_3_points("3","2","2") = "2"
& line_through_3_points("3","2","3") = "2"
& line_through_3_points("3","2","4") = "3"
& line_through_3_points("3","3","1") = "2"
& line_through_3_points("3","3","2") = "1"
& line_through_3_points("3","3","3") = "2"
& line_through_3_points("3","3","4") = "3"
& line_through_3_points("3","4","1") = "3"
& line_through_3_points("3","4","2") = "2"
& line_through_3_points("3","4","3") = "3"
& line_through_3_points("3","4","4") = "3"
& line_through_3_points("4","1","1") = "3"
& line_through_3_points("4","1","2") = "1"
& line_through_3_points("4","1","3") = "3"
& line_through_3_points("4","1","4") = "3"
& line_through_3_points("4","2","1") = "1"
& 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") = "3"
& line_through_3_points("4","3","2") = "2"
& 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")
<=> $true )
& ( 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") = "3"
& plane_for_points("1","2","4") = "3"
& plane_for_points("1","3","1") = "2"
& plane_for_points("1","3","2") = "3"
& plane_for_points("1","3","3") = "2"
& plane_for_points("1","3","4") = "2"
& plane_for_points("1","4","1") = "4"
& plane_for_points("1","4","2") = "2"
& plane_for_points("1","4","3") = "2"
& plane_for_points("1","4","4") = "2"
& plane_for_points("2","1","1") = "1"
& plane_for_points("2","1","2") = "4"
& plane_for_points("2","1","3") = "3"
& plane_for_points("2","1","4") = "3"
& 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") = "3"
& plane_for_points("2","3","2") = "2"
& plane_for_points("2","3","3") = "1"
& plane_for_points("2","3","4") = "4"
& plane_for_points("2","4","1") = "3"
& plane_for_points("2","4","2") = "3"
& plane_for_points("2","4","3") = "4"
& 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") = "2"
& plane_for_points("3","1","4") = "2"
& plane_for_points("3","2","1") = "3"
& plane_for_points("3","2","2") = "1"
& plane_for_points("3","2","3") = "2"
& plane_for_points("3","2","4") = "4"
& plane_for_points("3","3","1") = "2"
& plane_for_points("3","3","2") = "2"
& plane_for_points("3","3","3") = "2"
& plane_for_points("3","3","4") = "4"
& plane_for_points("3","4","1") = "2"
& plane_for_points("3","4","2") = "4"
& plane_for_points("3","4","3") = "3"
& plane_for_points("3","4","4") = "3"
& plane_for_points("4","1","1") = "2"
& plane_for_points("4","1","2") = "4"
& plane_for_points("4","1","3") = "2"
& plane_for_points("4","1","4") = "3"
& plane_for_points("4","2","1") = "3"
& plane_for_points("4","2","2") = "3"
& plane_for_points("4","2","3") = "4"
& plane_for_points("4","2","4") = "4"
& plane_for_points("4","3","1") = "2"
& plane_for_points("4","3","2") = "4"
& 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") = "2"
& point_1_on_line("2") = "3"
& point_1_on_line("3") = "2"
& point_1_on_line("4") = "4" ) ).
fof(point_2_on_line,fi_functors,
( point_2_on_line("1") = "1"
& point_2_on_line("2") = "1"
& point_2_on_line("3") = "3"
& point_2_on_line("4") = "3" ) ).
fof(point_on_line,fi_predicates,
( ( point_on_line("1","1")
<=> $true )
& ( point_on_line("1","2")
<=> $true )
& ( point_on_line("1","3")
<=> $false )
& ( point_on_line("1","4")
<=> $false )
& ( point_on_line("2","1")
<=> $true )
& ( point_on_line("2","2")
<=> $false )
& ( point_on_line("2","3")
<=> $true )
& ( point_on_line("2","4")
<=> $false )
& ( point_on_line("3","1")
<=> $false )
& ( point_on_line("3","2")
<=> $true )
& ( point_on_line("3","3")
<=> $true )
& ( point_on_line("3","4")
<=> $true )
& ( point_on_line("4","1")
<=> $true )
& ( point_on_line("4","2")
<=> $false )
& ( point_on_line("4","3")
<=> $false )
& ( point_on_line("4","4")
<=> $true ) ) ).
fof(point_on_plane,fi_predicates,
( ( point_on_plane("1","1")
<=> $true )
& ( point_on_plane("1","2")
<=> $true )
& ( point_on_plane("1","3")
<=> $true )
& ( point_on_plane("1","4")
<=> $false )
& ( point_on_plane("2","1")
<=> $true )
& ( point_on_plane("2","2")
<=> $false )
& ( point_on_plane("2","3")
<=> $true )
& ( point_on_plane("2","4")
<=> $true )
& ( point_on_plane("3","1")
<=> $false )
& ( point_on_plane("3","2")
<=> $true )
& ( point_on_plane("3","3")
<=> $true )
& ( point_on_plane("3","4")
<=> $true )
& ( point_on_plane("4","1")
<=> $true )
& ( point_on_plane("4","2")
<=> $true )
& ( point_on_plane("4","3")
<=> $false )
& ( point_on_plane("4","4")
<=> $true ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO078-7 : TPTP v8.1.0. Released v2.7.0.
% 0.04/0.13 % Command : paradox --no-progress --time %d --tstp --model %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 00:35:59 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Paradox, version 4.0, 2010-06-29.
% 0.13/0.35 +++ PROBLEM: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 Reading '/export/starexec/sandbox2/benchmark/theBenchmark.p' ... OK
% 0.20/0.36 Reading 'Axioms/GEO005-0.ax' ... ('/export/starexec/sandbox2/benchmark/Axioms/GEO005-0.ax') OK
% 0.20/0.37 +++ SOLVING: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.40 +++ BEGIN MODEL
% 0.20/0.40 SZS output start FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.41 +++ END MODEL
% 0.20/0.41 +++ RESULT: Satisfiable
% 0.20/0.41 SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------