TSTP Solution File: GEO157-1 by Paradox---4.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Paradox---4.0
% Problem : GEO157-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:short
% Command : paradox --no-progress --time %d --tstp --model %s
% Computer : n032.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 05:46:27 EDT 2022
% Result : Satisfiable 9.26s 9.46s
% Output : FiniteModel 9.26s
% Verified :
% SZS Type : FiniteModel
% Domain size : 7
% Comments :
%------------------------------------------------------------------------------
% domain size is 7
fof(domain,fi_domain,
! [X] :
( X = "1"
| X = "2"
| X = "3"
| X = "4"
| X = "5"
| X = "6"
| X = "7" ) ).
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")
<=> $true )
& ( collinear("1","1","5")
<=> $true )
& ( collinear("1","1","6")
<=> $false )
& ( collinear("1","1","7")
<=> $false )
& ( collinear("1","2","1")
<=> $false )
& ( collinear("1","2","2")
<=> $false )
& ( collinear("1","2","3")
<=> $true )
& ( collinear("1","2","4")
<=> $true )
& ( collinear("1","2","5")
<=> $true )
& ( collinear("1","2","6")
<=> $false )
& ( collinear("1","2","7")
<=> $false )
& ( collinear("1","3","1")
<=> $false )
& ( collinear("1","3","2")
<=> $true )
& ( collinear("1","3","3")
<=> $false )
& ( collinear("1","3","4")
<=> $true )
& ( collinear("1","3","5")
<=> $true )
& ( collinear("1","3","6")
<=> $true )
& ( collinear("1","3","7")
<=> $true )
& ( collinear("1","4","1")
<=> $false )
& ( collinear("1","4","2")
<=> $true )
& ( collinear("1","4","3")
<=> $true )
& ( collinear("1","4","4")
<=> $false )
& ( collinear("1","4","5")
<=> $true )
& ( collinear("1","4","6")
<=> $false )
& ( collinear("1","4","7")
<=> $true )
& ( collinear("1","5","1")
<=> $false )
& ( collinear("1","5","2")
<=> $true )
& ( collinear("1","5","3")
<=> $true )
& ( collinear("1","5","4")
<=> $true )
& ( collinear("1","5","5")
<=> $false )
& ( collinear("1","5","6")
<=> $true )
& ( collinear("1","5","7")
<=> $true )
& ( collinear("1","6","1")
<=> $false )
& ( collinear("1","6","2")
<=> $true )
& ( collinear("1","6","3")
<=> $true )
& ( collinear("1","6","4")
<=> $false )
& ( collinear("1","6","5")
<=> $true )
& ( collinear("1","6","6")
<=> $false )
& ( collinear("1","6","7")
<=> $false )
& ( collinear("1","7","1")
<=> $false )
& ( collinear("1","7","2")
<=> $true )
& ( collinear("1","7","3")
<=> $true )
& ( collinear("1","7","4")
<=> $true )
& ( collinear("1","7","5")
<=> $true )
& ( collinear("1","7","6")
<=> $false )
& ( collinear("1","7","7")
<=> $false )
& ( collinear("2","1","1")
<=> $false )
& ( collinear("2","1","2")
<=> $false )
& ( collinear("2","1","3")
<=> $true )
& ( collinear("2","1","4")
<=> $true )
& ( collinear("2","1","5")
<=> $true )
& ( collinear("2","1","6")
<=> $true )
& ( collinear("2","1","7")
<=> $true )
& ( collinear("2","2","1")
<=> $true )
& ( collinear("2","2","2")
<=> $true )
& ( collinear("2","2","3")
<=> $false )
& ( collinear("2","2","4")
<=> $true )
& ( collinear("2","2","5")
<=> $true )
& ( collinear("2","2","6")
<=> $true )
& ( collinear("2","2","7")
<=> $true )
& ( collinear("2","3","1")
<=> $true )
& ( collinear("2","3","2")
<=> $false )
& ( collinear("2","3","3")
<=> $false )
& ( collinear("2","3","4")
<=> $true )
& ( collinear("2","3","5")
<=> $true )
& ( collinear("2","3","6")
<=> $true )
& ( collinear("2","3","7")
<=> $true )
& ( collinear("2","4","1")
<=> $true )
& ( collinear("2","4","2")
<=> $false )
& ( collinear("2","4","3")
<=> $true )
& ( collinear("2","4","4")
<=> $false )
& ( collinear("2","4","5")
<=> $true )
& ( collinear("2","4","6")
<=> $true )
& ( collinear("2","4","7")
<=> $true )
& ( collinear("2","5","1")
<=> $true )
& ( collinear("2","5","2")
<=> $false )
& ( collinear("2","5","3")
<=> $true )
& ( collinear("2","5","4")
<=> $true )
& ( collinear("2","5","5")
<=> $false )
& ( collinear("2","5","6")
<=> $true )
& ( collinear("2","5","7")
<=> $true )
& ( collinear("2","6","1")
<=> $true )
& ( collinear("2","6","2")
<=> $false )
& ( collinear("2","6","3")
<=> $true )
& ( collinear("2","6","4")
<=> $true )
& ( collinear("2","6","5")
<=> $true )
& ( collinear("2","6","6")
<=> $false )
& ( collinear("2","6","7")
<=> $true )
& ( collinear("2","7","1")
<=> $true )
& ( collinear("2","7","2")
<=> $false )
& ( collinear("2","7","3")
<=> $true )
& ( collinear("2","7","4")
<=> $true )
& ( collinear("2","7","5")
<=> $true )
& ( collinear("2","7","6")
<=> $true )
& ( collinear("2","7","7")
<=> $false )
& ( collinear("3","1","1")
<=> $false )
& ( collinear("3","1","2")
<=> $true )
& ( collinear("3","1","3")
<=> $false )
& ( collinear("3","1","4")
<=> $true )
& ( collinear("3","1","5")
<=> $true )
& ( collinear("3","1","6")
<=> $true )
& ( collinear("3","1","7")
<=> $true )
& ( collinear("3","2","1")
<=> $true )
& ( collinear("3","2","2")
<=> $false )
& ( collinear("3","2","3")
<=> $false )
& ( collinear("3","2","4")
<=> $true )
& ( collinear("3","2","5")
<=> $true )
& ( collinear("3","2","6")
<=> $true )
& ( collinear("3","2","7")
<=> $true )
& ( collinear("3","3","1")
<=> $true )
& ( collinear("3","3","2")
<=> $true )
& ( collinear("3","3","3")
<=> $true )
& ( collinear("3","3","4")
<=> $false )
& ( collinear("3","3","5")
<=> $true )
& ( collinear("3","3","6")
<=> $true )
& ( collinear("3","3","7")
<=> $false )
& ( collinear("3","4","1")
<=> $true )
& ( collinear("3","4","2")
<=> $true )
& ( collinear("3","4","3")
<=> $false )
& ( collinear("3","4","4")
<=> $false )
& ( collinear("3","4","5")
<=> $true )
& ( collinear("3","4","6")
<=> $true )
& ( collinear("3","4","7")
<=> $true )
& ( collinear("3","5","1")
<=> $true )
& ( collinear("3","5","2")
<=> $true )
& ( collinear("3","5","3")
<=> $false )
& ( collinear("3","5","4")
<=> $true )
& ( collinear("3","5","5")
<=> $false )
& ( collinear("3","5","6")
<=> $true )
& ( collinear("3","5","7")
<=> $true )
& ( collinear("3","6","1")
<=> $true )
& ( collinear("3","6","2")
<=> $true )
& ( collinear("3","6","3")
<=> $false )
& ( collinear("3","6","4")
<=> $true )
& ( collinear("3","6","5")
<=> $true )
& ( collinear("3","6","6")
<=> $false )
& ( collinear("3","6","7")
<=> $true )
& ( collinear("3","7","1")
<=> $true )
& ( collinear("3","7","2")
<=> $true )
& ( collinear("3","7","3")
<=> $false )
& ( collinear("3","7","4")
<=> $true )
& ( collinear("3","7","5")
<=> $true )
& ( collinear("3","7","6")
<=> $true )
& ( collinear("3","7","7")
<=> $false )
& ( collinear("4","1","1")
<=> $false )
& ( collinear("4","1","2")
<=> $false )
& ( collinear("4","1","3")
<=> $true )
& ( collinear("4","1","4")
<=> $false )
& ( collinear("4","1","5")
<=> $true )
& ( collinear("4","1","6")
<=> $false )
& ( collinear("4","1","7")
<=> $true )
& ( collinear("4","2","1")
<=> $true )
& ( collinear("4","2","2")
<=> $false )
& ( collinear("4","2","3")
<=> $true )
& ( collinear("4","2","4")
<=> $false )
& ( collinear("4","2","5")
<=> $true )
& ( collinear("4","2","6")
<=> $true )
& ( collinear("4","2","7")
<=> $true )
& ( collinear("4","3","1")
<=> $true )
& ( collinear("4","3","2")
<=> $true )
& ( collinear("4","3","3")
<=> $false )
& ( collinear("4","3","4")
<=> $false )
& ( collinear("4","3","5")
<=> $true )
& ( collinear("4","3","6")
<=> $true )
& ( collinear("4","3","7")
<=> $true )
& ( collinear("4","4","1")
<=> $false )
& ( collinear("4","4","2")
<=> $false )
& ( collinear("4","4","3")
<=> $true )
& ( collinear("4","4","4")
<=> $true )
& ( collinear("4","4","5")
<=> $false )
& ( collinear("4","4","6")
<=> $true )
& ( collinear("4","4","7")
<=> $true )
& ( collinear("4","5","1")
<=> $true )
& ( collinear("4","5","2")
<=> $true )
& ( collinear("4","5","3")
<=> $true )
& ( collinear("4","5","4")
<=> $false )
& ( collinear("4","5","5")
<=> $false )
& ( collinear("4","5","6")
<=> $true )
& ( collinear("4","5","7")
<=> $true )
& ( collinear("4","6","1")
<=> $false )
& ( collinear("4","6","2")
<=> $true )
& ( collinear("4","6","3")
<=> $true )
& ( collinear("4","6","4")
<=> $false )
& ( collinear("4","6","5")
<=> $true )
& ( collinear("4","6","6")
<=> $false )
& ( collinear("4","6","7")
<=> $false )
& ( collinear("4","7","1")
<=> $true )
& ( collinear("4","7","2")
<=> $true )
& ( collinear("4","7","3")
<=> $true )
& ( collinear("4","7","4")
<=> $false )
& ( collinear("4","7","5")
<=> $true )
& ( collinear("4","7","6")
<=> $false )
& ( collinear("4","7","7")
<=> $false )
& ( collinear("5","1","1")
<=> $false )
& ( collinear("5","1","2")
<=> $true )
& ( collinear("5","1","3")
<=> $true )
& ( collinear("5","1","4")
<=> $true )
& ( collinear("5","1","5")
<=> $false )
& ( collinear("5","1","6")
<=> $true )
& ( collinear("5","1","7")
<=> $true )
& ( collinear("5","2","1")
<=> $false )
& ( collinear("5","2","2")
<=> $false )
& ( collinear("5","2","3")
<=> $true )
& ( collinear("5","2","4")
<=> $true )
& ( collinear("5","2","5")
<=> $false )
& ( collinear("5","2","6")
<=> $true )
& ( collinear("5","2","7")
<=> $true )
& ( collinear("5","3","1")
<=> $true )
& ( collinear("5","3","2")
<=> $true )
& ( collinear("5","3","3")
<=> $false )
& ( collinear("5","3","4")
<=> $true )
& ( collinear("5","3","5")
<=> $false )
& ( collinear("5","3","6")
<=> $true )
& ( collinear("5","3","7")
<=> $true )
& ( collinear("5","4","1")
<=> $true )
& ( collinear("5","4","2")
<=> $true )
& ( collinear("5","4","3")
<=> $true )
& ( collinear("5","4","4")
<=> $false )
& ( collinear("5","4","5")
<=> $false )
& ( collinear("5","4","6")
<=> $true )
& ( collinear("5","4","7")
<=> $true )
& ( collinear("5","5","1")
<=> $false )
& ( collinear("5","5","2")
<=> $false )
& ( collinear("5","5","3")
<=> $false )
& ( collinear("5","5","4")
<=> $true )
& ( collinear("5","5","5")
<=> $true )
& ( collinear("5","5","6")
<=> $false )
& ( collinear("5","5","7")
<=> $false )
& ( collinear("5","6","1")
<=> $true )
& ( collinear("5","6","2")
<=> $true )
& ( collinear("5","6","3")
<=> $true )
& ( collinear("5","6","4")
<=> $true )
& ( collinear("5","6","5")
<=> $false )
& ( collinear("5","6","6")
<=> $false )
& ( collinear("5","6","7")
<=> $true )
& ( collinear("5","7","1")
<=> $true )
& ( collinear("5","7","2")
<=> $true )
& ( collinear("5","7","3")
<=> $true )
& ( collinear("5","7","4")
<=> $true )
& ( collinear("5","7","5")
<=> $false )
& ( collinear("5","7","6")
<=> $true )
& ( collinear("5","7","7")
<=> $false )
& ( collinear("6","1","1")
<=> $false )
& ( collinear("6","1","2")
<=> $true )
& ( collinear("6","1","3")
<=> $true )
& ( collinear("6","1","4")
<=> $false )
& ( collinear("6","1","5")
<=> $true )
& ( collinear("6","1","6")
<=> $false )
& ( collinear("6","1","7")
<=> $false )
& ( collinear("6","2","1")
<=> $true )
& ( collinear("6","2","2")
<=> $false )
& ( collinear("6","2","3")
<=> $true )
& ( collinear("6","2","4")
<=> $true )
& ( collinear("6","2","5")
<=> $true )
& ( collinear("6","2","6")
<=> $false )
& ( collinear("6","2","7")
<=> $true )
& ( collinear("6","3","1")
<=> $true )
& ( collinear("6","3","2")
<=> $false )
& ( collinear("6","3","3")
<=> $false )
& ( collinear("6","3","4")
<=> $true )
& ( collinear("6","3","5")
<=> $true )
& ( collinear("6","3","6")
<=> $false )
& ( collinear("6","3","7")
<=> $true )
& ( collinear("6","4","1")
<=> $false )
& ( collinear("6","4","2")
<=> $true )
& ( collinear("6","4","3")
<=> $true )
& ( collinear("6","4","4")
<=> $false )
& ( collinear("6","4","5")
<=> $true )
& ( collinear("6","4","6")
<=> $false )
& ( collinear("6","4","7")
<=> $false )
& ( collinear("6","5","1")
<=> $true )
& ( collinear("6","5","2")
<=> $true )
& ( collinear("6","5","3")
<=> $true )
& ( collinear("6","5","4")
<=> $true )
& ( collinear("6","5","5")
<=> $false )
& ( collinear("6","5","6")
<=> $false )
& ( collinear("6","5","7")
<=> $true )
& ( collinear("6","6","1")
<=> $true )
& ( collinear("6","6","2")
<=> $true )
& ( collinear("6","6","3")
<=> $false )
& ( collinear("6","6","4")
<=> $false )
& ( collinear("6","6","5")
<=> $true )
& ( collinear("6","6","6")
<=> $true )
& ( collinear("6","6","7")
<=> $false )
& ( collinear("6","7","1")
<=> $false )
& ( collinear("6","7","2")
<=> $true )
& ( collinear("6","7","3")
<=> $true )
& ( collinear("6","7","4")
<=> $false )
& ( collinear("6","7","5")
<=> $true )
& ( collinear("6","7","6")
<=> $false )
& ( collinear("6","7","7")
<=> $false )
& ( collinear("7","1","1")
<=> $false )
& ( collinear("7","1","2")
<=> $true )
& ( collinear("7","1","3")
<=> $true )
& ( collinear("7","1","4")
<=> $true )
& ( collinear("7","1","5")
<=> $true )
& ( collinear("7","1","6")
<=> $false )
& ( collinear("7","1","7")
<=> $false )
& ( collinear("7","2","1")
<=> $true )
& ( collinear("7","2","2")
<=> $false )
& ( collinear("7","2","3")
<=> $true )
& ( collinear("7","2","4")
<=> $true )
& ( collinear("7","2","5")
<=> $true )
& ( collinear("7","2","6")
<=> $true )
& ( collinear("7","2","7")
<=> $false )
& ( collinear("7","3","1")
<=> $true )
& ( collinear("7","3","2")
<=> $true )
& ( collinear("7","3","3")
<=> $false )
& ( collinear("7","3","4")
<=> $true )
& ( collinear("7","3","5")
<=> $true )
& ( collinear("7","3","6")
<=> $true )
& ( collinear("7","3","7")
<=> $false )
& ( collinear("7","4","1")
<=> $true )
& ( collinear("7","4","2")
<=> $true )
& ( collinear("7","4","3")
<=> $true )
& ( collinear("7","4","4")
<=> $false )
& ( collinear("7","4","5")
<=> $true )
& ( collinear("7","4","6")
<=> $false )
& ( collinear("7","4","7")
<=> $false )
& ( collinear("7","5","1")
<=> $true )
& ( collinear("7","5","2")
<=> $true )
& ( collinear("7","5","3")
<=> $true )
& ( collinear("7","5","4")
<=> $true )
& ( collinear("7","5","5")
<=> $false )
& ( collinear("7","5","6")
<=> $true )
& ( collinear("7","5","7")
<=> $false )
& ( collinear("7","6","1")
<=> $false )
& ( collinear("7","6","2")
<=> $true )
& ( collinear("7","6","3")
<=> $true )
& ( collinear("7","6","4")
<=> $false )
& ( collinear("7","6","5")
<=> $true )
& ( collinear("7","6","6")
<=> $false )
& ( collinear("7","6","7")
<=> $false )
& ( collinear("7","7","1")
<=> $false )
& ( collinear("7","7","2")
<=> $true )
& ( collinear("7","7","3")
<=> $true )
& ( collinear("7","7","4")
<=> $false )
& ( collinear("7","7","5")
<=> $false )
& ( collinear("7","7","6")
<=> $true )
& ( collinear("7","7","7")
<=> $true ) ) ).
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") = "1"
& common_point_on_planes("1","1","4") = "5"
& common_point_on_planes("1","1","5") = "3"
& common_point_on_planes("1","1","6") = "5"
& common_point_on_planes("1","1","7") = "7"
& 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") = "1"
& common_point_on_planes("1","2","5") = "2"
& common_point_on_planes("1","2","6") = "5"
& common_point_on_planes("1","2","7") = "6"
& common_point_on_planes("1","3","1") = "6"
& common_point_on_planes("1","3","2") = "3"
& common_point_on_planes("1","3","3") = "2"
& common_point_on_planes("1","3","4") = "7"
& common_point_on_planes("1","3","5") = "4"
& common_point_on_planes("1","3","6") = "5"
& common_point_on_planes("1","3","7") = "6"
& common_point_on_planes("1","4","1") = "1"
& common_point_on_planes("1","4","2") = "3"
& common_point_on_planes("1","4","3") = "1"
& common_point_on_planes("1","4","4") = "3"
& common_point_on_planes("1","4","5") = "7"
& common_point_on_planes("1","4","6") = "5"
& common_point_on_planes("1","4","7") = "6"
& common_point_on_planes("1","5","1") = "6"
& common_point_on_planes("1","5","2") = "6"
& common_point_on_planes("1","5","3") = "7"
& common_point_on_planes("1","5","4") = "1"
& common_point_on_planes("1","5","5") = "6"
& common_point_on_planes("1","5","6") = "1"
& common_point_on_planes("1","5","7") = "6"
& common_point_on_planes("1","6","1") = "3"
& common_point_on_planes("1","6","2") = "5"
& common_point_on_planes("1","6","3") = "1"
& common_point_on_planes("1","6","4") = "5"
& common_point_on_planes("1","6","5") = "2"
& common_point_on_planes("1","6","6") = "1"
& common_point_on_planes("1","6","7") = "6"
& common_point_on_planes("1","7","1") = "4"
& common_point_on_planes("1","7","2") = "4"
& common_point_on_planes("1","7","3") = "7"
& common_point_on_planes("1","7","4") = "7"
& common_point_on_planes("1","7","5") = "6"
& common_point_on_planes("1","7","6") = "1"
& common_point_on_planes("1","7","7") = "6"
& 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") = "1"
& common_point_on_planes("2","1","5") = "3"
& common_point_on_planes("2","1","6") = "5"
& common_point_on_planes("2","1","7") = "6"
& common_point_on_planes("2","2","1") = "1"
& common_point_on_planes("2","2","2") = "1"
& common_point_on_planes("2","2","3") = "5"
& common_point_on_planes("2","2","4") = "5"
& common_point_on_planes("2","2","5") = "5"
& common_point_on_planes("2","2","6") = "5"
& common_point_on_planes("2","2","7") = "7"
& common_point_on_planes("2","3","1") = "1"
& common_point_on_planes("2","3","2") = "1"
& common_point_on_planes("2","3","3") = "2"
& common_point_on_planes("2","3","4") = "3"
& common_point_on_planes("2","3","5") = "6"
& common_point_on_planes("2","3","6") = "5"
& common_point_on_planes("2","3","7") = "6"
& common_point_on_planes("2","4","1") = "1"
& common_point_on_planes("2","4","2") = "1"
& common_point_on_planes("2","4","3") = "7"
& common_point_on_planes("2","4","4") = "3"
& common_point_on_planes("2","4","5") = "1"
& common_point_on_planes("2","4","6") = "5"
& common_point_on_planes("2","4","7") = "6"
& common_point_on_planes("2","5","1") = "1"
& common_point_on_planes("2","5","2") = "3"
& common_point_on_planes("2","5","3") = "4"
& common_point_on_planes("2","5","4") = "3"
& common_point_on_planes("2","5","5") = "1"
& common_point_on_planes("2","5","6") = "5"
& common_point_on_planes("2","5","7") = "6"
& common_point_on_planes("2","6","1") = "6"
& common_point_on_planes("2","6","2") = "3"
& common_point_on_planes("2","6","3") = "4"
& common_point_on_planes("2","6","4") = "3"
& common_point_on_planes("2","6","5") = "5"
& common_point_on_planes("2","6","6") = "5"
& common_point_on_planes("2","6","7") = "6"
& common_point_on_planes("2","7","1") = "6"
& common_point_on_planes("2","7","2") = "6"
& common_point_on_planes("2","7","3") = "6"
& common_point_on_planes("2","7","4") = "6"
& common_point_on_planes("2","7","5") = "1"
& common_point_on_planes("2","7","6") = "6"
& common_point_on_planes("2","7","7") = "6"
& common_point_on_planes("3","1","1") = "1"
& common_point_on_planes("3","1","2") = "1"
& common_point_on_planes("3","1","3") = "5"
& common_point_on_planes("3","1","4") = "1"
& common_point_on_planes("3","1","5") = "1"
& common_point_on_planes("3","1","6") = "5"
& common_point_on_planes("3","1","7") = "6"
& common_point_on_planes("3","2","1") = "1"
& common_point_on_planes("3","2","2") = "1"
& common_point_on_planes("3","2","3") = "1"
& common_point_on_planes("3","2","4") = "7"
& common_point_on_planes("3","2","5") = "1"
& common_point_on_planes("3","2","6") = "5"
& common_point_on_planes("3","2","7") = "6"
& common_point_on_planes("3","3","1") = "2"
& common_point_on_planes("3","3","2") = "2"
& common_point_on_planes("3","3","3") = "5"
& common_point_on_planes("3","3","4") = "5"
& common_point_on_planes("3","3","5") = "3"
& common_point_on_planes("3","3","6") = "5"
& common_point_on_planes("3","3","7") = "7"
& 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") = "1"
& common_point_on_planes("3","4","5") = "1"
& common_point_on_planes("3","4","6") = "5"
& common_point_on_planes("3","4","7") = "6"
& common_point_on_planes("3","5","1") = "6"
& common_point_on_planes("3","5","2") = "6"
& common_point_on_planes("3","5","3") = "1"
& common_point_on_planes("3","5","4") = "5"
& common_point_on_planes("3","5","5") = "4"
& common_point_on_planes("3","5","6") = "2"
& common_point_on_planes("3","5","7") = "6"
& common_point_on_planes("3","6","1") = "6"
& common_point_on_planes("3","6","2") = "5"
& common_point_on_planes("3","6","3") = "3"
& common_point_on_planes("3","6","4") = "5"
& common_point_on_planes("3","6","5") = "5"
& common_point_on_planes("3","6","6") = "1"
& common_point_on_planes("3","6","7") = "6"
& common_point_on_planes("3","7","1") = "3"
& common_point_on_planes("3","7","2") = "6"
& common_point_on_planes("3","7","3") = "6"
& common_point_on_planes("3","7","4") = "2"
& common_point_on_planes("3","7","5") = "1"
& common_point_on_planes("3","7","6") = "4"
& common_point_on_planes("3","7","7") = "6"
& common_point_on_planes("4","1","1") = "1"
& common_point_on_planes("4","1","2") = "3"
& common_point_on_planes("4","1","3") = "1"
& common_point_on_planes("4","1","4") = "1"
& common_point_on_planes("4","1","5") = "6"
& common_point_on_planes("4","1","6") = "5"
& common_point_on_planes("4","1","7") = "6"
& common_point_on_planes("4","2","1") = "1"
& 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","2","5") = "2"
& common_point_on_planes("4","2","6") = "5"
& common_point_on_planes("4","2","7") = "6"
& common_point_on_planes("4","3","1") = "1"
& common_point_on_planes("4","3","2") = "3"
& common_point_on_planes("4","3","3") = "2"
& common_point_on_planes("4","3","4") = "2"
& common_point_on_planes("4","3","5") = "6"
& common_point_on_planes("4","3","6") = "5"
& common_point_on_planes("4","3","7") = "6"
& common_point_on_planes("4","4","1") = "3"
& common_point_on_planes("4","4","2") = "1"
& common_point_on_planes("4","4","3") = "2"
& common_point_on_planes("4","4","4") = "3"
& common_point_on_planes("4","4","5") = "2"
& common_point_on_planes("4","4","6") = "5"
& common_point_on_planes("4","4","7") = "7"
& common_point_on_planes("4","5","1") = "1"
& common_point_on_planes("4","5","2") = "5"
& common_point_on_planes("4","5","3") = "4"
& common_point_on_planes("4","5","4") = "2"
& common_point_on_planes("4","5","5") = "6"
& common_point_on_planes("4","5","6") = "7"
& common_point_on_planes("4","5","7") = "6"
& common_point_on_planes("4","6","1") = "4"
& common_point_on_planes("4","6","2") = "1"
& common_point_on_planes("4","6","3") = "6"
& common_point_on_planes("4","6","4") = "1"
& common_point_on_planes("4","6","5") = "6"
& common_point_on_planes("4","6","6") = "4"
& common_point_on_planes("4","6","7") = "6"
& common_point_on_planes("4","7","1") = "6"
& common_point_on_planes("4","7","2") = "4"
& common_point_on_planes("4","7","3") = "6"
& common_point_on_planes("4","7","4") = "6"
& common_point_on_planes("4","7","5") = "7"
& common_point_on_planes("4","7","6") = "7"
& common_point_on_planes("4","7","7") = "6"
& common_point_on_planes("5","1","1") = "6"
& common_point_on_planes("5","1","2") = "1"
& common_point_on_planes("5","1","3") = "1"
& common_point_on_planes("5","1","4") = "1"
& common_point_on_planes("5","1","5") = "6"
& common_point_on_planes("5","1","6") = "1"
& common_point_on_planes("5","1","7") = "6"
& common_point_on_planes("5","2","1") = "3"
& common_point_on_planes("5","2","2") = "7"
& common_point_on_planes("5","2","3") = "4"
& common_point_on_planes("5","2","4") = "3"
& common_point_on_planes("5","2","5") = "1"
& common_point_on_planes("5","2","6") = "5"
& common_point_on_planes("5","2","7") = "6"
& common_point_on_planes("5","3","1") = "6"
& common_point_on_planes("5","3","2") = "6"
& common_point_on_planes("5","3","3") = "1"
& common_point_on_planes("5","3","4") = "2"
& common_point_on_planes("5","3","5") = "2"
& common_point_on_planes("5","3","6") = "2"
& common_point_on_planes("5","3","7") = "6"
& common_point_on_planes("5","4","1") = "7"
& common_point_on_planes("5","4","2") = "5"
& common_point_on_planes("5","4","3") = "4"
& common_point_on_planes("5","4","4") = "6"
& common_point_on_planes("5","4","5") = "6"
& common_point_on_planes("5","4","6") = "7"
& common_point_on_planes("5","4","7") = "6"
& common_point_on_planes("5","5","1") = "1"
& common_point_on_planes("5","5","2") = "3"
& common_point_on_planes("5","5","3") = "3"
& common_point_on_planes("5","5","4") = "3"
& common_point_on_planes("5","5","5") = "3"
& common_point_on_planes("5","5","6") = "5"
& common_point_on_planes("5","5","7") = "6"
& common_point_on_planes("5","6","1") = "3"
& common_point_on_planes("5","6","2") = "7"
& common_point_on_planes("5","6","3") = "3"
& common_point_on_planes("5","6","4") = "6"
& common_point_on_planes("5","6","5") = "4"
& common_point_on_planes("5","6","6") = "4"
& common_point_on_planes("5","6","7") = "4"
& common_point_on_planes("5","7","1") = "6"
& common_point_on_planes("5","7","2") = "1"
& common_point_on_planes("5","7","3") = "6"
& common_point_on_planes("5","7","4") = "6"
& common_point_on_planes("5","7","5") = "7"
& common_point_on_planes("5","7","6") = "1"
& common_point_on_planes("5","7","7") = "2"
& common_point_on_planes("6","1","1") = "3"
& common_point_on_planes("6","1","2") = "5"
& common_point_on_planes("6","1","3") = "1"
& common_point_on_planes("6","1","4") = "5"
& common_point_on_planes("6","1","5") = "2"
& common_point_on_planes("6","1","6") = "1"
& common_point_on_planes("6","1","7") = "6"
& common_point_on_planes("6","2","1") = "5"
& common_point_on_planes("6","2","2") = "3"
& common_point_on_planes("6","2","3") = "4"
& common_point_on_planes("6","2","4") = "3"
& common_point_on_planes("6","2","5") = "5"
& common_point_on_planes("6","2","6") = "5"
& common_point_on_planes("6","2","7") = "6"
& common_point_on_planes("6","3","1") = "2"
& common_point_on_planes("6","3","2") = "1"
& common_point_on_planes("6","3","3") = "5"
& common_point_on_planes("6","3","4") = "3"
& common_point_on_planes("6","3","5") = "5"
& common_point_on_planes("6","3","6") = "1"
& common_point_on_planes("6","3","7") = "6"
& common_point_on_planes("6","4","1") = "4"
& common_point_on_planes("6","4","2") = "1"
& common_point_on_planes("6","4","3") = "7"
& common_point_on_planes("6","4","4") = "1"
& common_point_on_planes("6","4","5") = "6"
& common_point_on_planes("6","4","6") = "4"
& common_point_on_planes("6","4","7") = "6"
& common_point_on_planes("6","5","1") = "5"
& common_point_on_planes("6","5","2") = "3"
& common_point_on_planes("6","5","3") = "1"
& common_point_on_planes("6","5","4") = "6"
& common_point_on_planes("6","5","5") = "4"
& common_point_on_planes("6","5","6") = "4"
& common_point_on_planes("6","5","7") = "4"
& common_point_on_planes("6","6","1") = "5"
& common_point_on_planes("6","6","2") = "5"
& common_point_on_planes("6","6","3") = "5"
& common_point_on_planes("6","6","4") = "5"
& common_point_on_planes("6","6","5") = "5"
& common_point_on_planes("6","6","6") = "5"
& common_point_on_planes("6","6","7") = "6"
& common_point_on_planes("6","7","1") = "4"
& common_point_on_planes("6","7","2") = "6"
& common_point_on_planes("6","7","3") = "4"
& common_point_on_planes("6","7","4") = "2"
& common_point_on_planes("6","7","5") = "2"
& common_point_on_planes("6","7","6") = "7"
& common_point_on_planes("6","7","7") = "6"
& common_point_on_planes("7","1","1") = "4"
& common_point_on_planes("7","1","2") = "4"
& common_point_on_planes("7","1","3") = "6"
& common_point_on_planes("7","1","4") = "7"
& common_point_on_planes("7","1","5") = "7"
& common_point_on_planes("7","1","6") = "7"
& common_point_on_planes("7","1","7") = "6"
& common_point_on_planes("7","2","1") = "7"
& common_point_on_planes("7","2","2") = "6"
& common_point_on_planes("7","2","3") = "7"
& common_point_on_planes("7","2","4") = "7"
& common_point_on_planes("7","2","5") = "7"
& common_point_on_planes("7","2","6") = "6"
& common_point_on_planes("7","2","7") = "6"
& common_point_on_planes("7","3","1") = "7"
& common_point_on_planes("7","3","2") = "6"
& common_point_on_planes("7","3","3") = "4"
& common_point_on_planes("7","3","4") = "2"
& common_point_on_planes("7","3","5") = "7"
& common_point_on_planes("7","3","6") = "4"
& common_point_on_planes("7","3","7") = "6"
& common_point_on_planes("7","4","1") = "6"
& common_point_on_planes("7","4","2") = "4"
& common_point_on_planes("7","4","3") = "6"
& common_point_on_planes("7","4","4") = "6"
& common_point_on_planes("7","4","5") = "7"
& common_point_on_planes("7","4","6") = "7"
& common_point_on_planes("7","4","7") = "6"
& common_point_on_planes("7","5","1") = "6"
& common_point_on_planes("7","5","2") = "7"
& common_point_on_planes("7","5","3") = "2"
& common_point_on_planes("7","5","4") = "6"
& common_point_on_planes("7","5","5") = "7"
& common_point_on_planes("7","5","6") = "1"
& common_point_on_planes("7","5","7") = "1"
& common_point_on_planes("7","6","1") = "6"
& common_point_on_planes("7","6","2") = "6"
& common_point_on_planes("7","6","3") = "5"
& common_point_on_planes("7","6","4") = "2"
& common_point_on_planes("7","6","5") = "2"
& common_point_on_planes("7","6","6") = "7"
& common_point_on_planes("7","6","7") = "6"
& common_point_on_planes("7","7","1") = "7"
& common_point_on_planes("7","7","2") = "7"
& common_point_on_planes("7","7","3") = "6"
& common_point_on_planes("7","7","4") = "7"
& common_point_on_planes("7","7","5") = "7"
& common_point_on_planes("7","7","6") = "6"
& common_point_on_planes("7","7","7") = "6" ) ).
fof(line,fi_predicates,
( ( line("1")
<=> $true )
& ( line("2")
<=> $true )
& ( line("3")
<=> $true )
& ( line("4")
<=> $true )
& ( line("5")
<=> $false )
& ( line("6")
<=> $false )
& ( line("7")
<=> $false ) ) ).
fof(line_from_to,fi_functors,
( line_from_to("1","1") = "1"
& line_from_to("1","2") = "4"
& line_from_to("1","3") = "2"
& line_from_to("1","4") = "2"
& line_from_to("1","5") = "4"
& line_from_to("1","6") = "1"
& line_from_to("1","7") = "2"
& line_from_to("2","1") = "3"
& line_from_to("2","2") = "2"
& line_from_to("2","3") = "2"
& line_from_to("2","4") = "2"
& line_from_to("2","5") = "2"
& line_from_to("2","6") = "2"
& line_from_to("2","7") = "4"
& line_from_to("3","1") = "2"
& line_from_to("3","2") = "4"
& line_from_to("3","3") = "3"
& line_from_to("3","4") = "2"
& line_from_to("3","5") = "2"
& line_from_to("3","6") = "4"
& line_from_to("3","7") = "3"
& line_from_to("4","1") = "2"
& line_from_to("4","2") = "1"
& line_from_to("4","3") = "2"
& line_from_to("4","4") = "1"
& line_from_to("4","5") = "2"
& line_from_to("4","6") = "4"
& line_from_to("4","7") = "2"
& line_from_to("5","1") = "2"
& line_from_to("5","2") = "1"
& line_from_to("5","3") = "2"
& line_from_to("5","4") = "4"
& line_from_to("5","5") = "1"
& line_from_to("5","6") = "1"
& line_from_to("5","7") = "2"
& line_from_to("6","1") = "1"
& line_from_to("6","2") = "1"
& line_from_to("6","3") = "1"
& line_from_to("6","4") = "4"
& line_from_to("6","5") = "1"
& line_from_to("6","6") = "5"
& line_from_to("6","7") = "3"
& line_from_to("7","1") = "2"
& line_from_to("7","2") = "3"
& line_from_to("7","3") = "3"
& line_from_to("7","4") = "2"
& line_from_to("7","5") = "2"
& line_from_to("7","6") = "3"
& line_from_to("7","7") = "7" ) ).
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") = "2"
& line_through_3_points("1","1","4") = "3"
& line_through_3_points("1","1","5") = "1"
& line_through_3_points("1","1","6") = "5"
& line_through_3_points("1","1","7") = "7"
& line_through_3_points("1","2","1") = "2"
& line_through_3_points("1","2","2") = "1"
& line_through_3_points("1","2","3") = "1"
& line_through_3_points("1","2","4") = "2"
& line_through_3_points("1","2","5") = "2"
& line_through_3_points("1","2","6") = "2"
& line_through_3_points("1","2","7") = "2"
& 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") = "2"
& line_through_3_points("1","3","5") = "2"
& line_through_3_points("1","3","6") = "7"
& line_through_3_points("1","3","7") = "2"
& line_through_3_points("1","4","1") = "1"
& line_through_3_points("1","4","2") = "2"
& line_through_3_points("1","4","3") = "2"
& line_through_3_points("1","4","4") = "1"
& line_through_3_points("1","4","5") = "2"
& line_through_3_points("1","4","6") = "2"
& line_through_3_points("1","4","7") = "2"
& line_through_3_points("1","5","1") = "1"
& line_through_3_points("1","5","2") = "2"
& line_through_3_points("1","5","3") = "2"
& line_through_3_points("1","5","4") = "2"
& line_through_3_points("1","5","5") = "5"
& line_through_3_points("1","5","6") = "3"
& line_through_3_points("1","5","7") = "3"
& line_through_3_points("1","6","1") = "5"
& line_through_3_points("1","6","2") = "2"
& line_through_3_points("1","6","3") = "3"
& line_through_3_points("1","6","4") = "1"
& line_through_3_points("1","6","5") = "2"
& line_through_3_points("1","6","6") = "5"
& line_through_3_points("1","6","7") = "7"
& line_through_3_points("1","7","1") = "7"
& line_through_3_points("1","7","2") = "2"
& line_through_3_points("1","7","3") = "2"
& line_through_3_points("1","7","4") = "2"
& line_through_3_points("1","7","5") = "3"
& line_through_3_points("1","7","6") = "7"
& line_through_3_points("1","7","7") = "7"
& line_through_3_points("2","1","1") = "3"
& line_through_3_points("2","1","2") = "1"
& line_through_3_points("2","1","3") = "2"
& line_through_3_points("2","1","4") = "2"
& line_through_3_points("2","1","5") = "2"
& line_through_3_points("2","1","6") = "2"
& line_through_3_points("2","1","7") = "2"
& line_through_3_points("2","2","1") = "3"
& line_through_3_points("2","2","2") = "5"
& line_through_3_points("2","2","3") = "1"
& line_through_3_points("2","2","4") = "1"
& line_through_3_points("2","2","5") = "3"
& line_through_3_points("2","2","6") = "5"
& line_through_3_points("2","2","7") = "7"
& line_through_3_points("2","3","1") = "2"
& line_through_3_points("2","3","2") = "7"
& line_through_3_points("2","3","3") = "3"
& line_through_3_points("2","3","4") = "2"
& line_through_3_points("2","3","5") = "1"
& line_through_3_points("2","3","6") = "1"
& line_through_3_points("2","3","7") = "2"
& line_through_3_points("2","4","1") = "2"
& line_through_3_points("2","4","2") = "1"
& line_through_3_points("2","4","3") = "2"
& line_through_3_points("2","4","4") = "3"
& line_through_3_points("2","4","5") = "6"
& line_through_3_points("2","4","6") = "6"
& line_through_3_points("2","4","7") = "6"
& line_through_3_points("2","5","1") = "2"
& line_through_3_points("2","5","2") = "5"
& line_through_3_points("2","5","3") = "1"
& line_through_3_points("2","5","4") = "6"
& line_through_3_points("2","5","5") = "3"
& line_through_3_points("2","5","6") = "6"
& line_through_3_points("2","5","7") = "6"
& line_through_3_points("2","6","1") = "2"
& line_through_3_points("2","6","2") = "5"
& line_through_3_points("2","6","3") = "1"
& line_through_3_points("2","6","4") = "6"
& line_through_3_points("2","6","5") = "6"
& line_through_3_points("2","6","6") = "5"
& line_through_3_points("2","6","7") = "6"
& line_through_3_points("2","7","1") = "2"
& line_through_3_points("2","7","2") = "7"
& line_through_3_points("2","7","3") = "2"
& line_through_3_points("2","7","4") = "6"
& line_through_3_points("2","7","5") = "6"
& line_through_3_points("2","7","6") = "6"
& line_through_3_points("2","7","7") = "7"
& line_through_3_points("3","1","1") = "2"
& line_through_3_points("3","1","2") = "4"
& line_through_3_points("3","1","3") = "1"
& line_through_3_points("3","1","4") = "2"
& line_through_3_points("3","1","5") = "2"
& line_through_3_points("3","1","6") = "3"
& line_through_3_points("3","1","7") = "2"
& line_through_3_points("3","2","1") = "2"
& line_through_3_points("3","2","2") = "7"
& line_through_3_points("3","2","3") = "3"
& line_through_3_points("3","2","4") = "2"
& line_through_3_points("3","2","5") = "1"
& line_through_3_points("3","2","6") = "1"
& line_through_3_points("3","2","7") = "2"
& line_through_3_points("3","3","1") = "1"
& line_through_3_points("3","3","2") = "2"
& line_through_3_points("3","3","3") = "2"
& line_through_3_points("3","3","4") = "1"
& line_through_3_points("3","3","5") = "1"
& line_through_3_points("3","3","6") = "5"
& line_through_3_points("3","3","7") = "6"
& line_through_3_points("3","4","1") = "2"
& line_through_3_points("3","4","2") = "2"
& line_through_3_points("3","4","3") = "4"
& line_through_3_points("3","4","4") = "1"
& line_through_3_points("3","4","5") = "2"
& line_through_3_points("3","4","6") = "3"
& line_through_3_points("3","4","7") = "2"
& line_through_3_points("3","5","1") = "2"
& line_through_3_points("3","5","2") = "1"
& line_through_3_points("3","5","3") = "1"
& line_through_3_points("3","5","4") = "2"
& line_through_3_points("3","5","5") = "3"
& line_through_3_points("3","5","6") = "5"
& line_through_3_points("3","5","7") = "2"
& line_through_3_points("3","6","1") = "7"
& line_through_3_points("3","6","2") = "1"
& line_through_3_points("3","6","3") = "5"
& line_through_3_points("3","6","4") = "2"
& line_through_3_points("3","6","5") = "5"
& line_through_3_points("3","6","6") = "5"
& line_through_3_points("3","6","7") = "2"
& line_through_3_points("3","7","1") = "2"
& line_through_3_points("3","7","2") = "1"
& line_through_3_points("3","7","3") = "7"
& line_through_3_points("3","7","4") = "2"
& line_through_3_points("3","7","5") = "2"
& line_through_3_points("3","7","6") = "2"
& line_through_3_points("3","7","7") = "7"
& line_through_3_points("4","1","1") = "1"
& line_through_3_points("4","1","2") = "2"
& line_through_3_points("4","1","3") = "2"
& line_through_3_points("4","1","4") = "2"
& line_through_3_points("4","1","5") = "2"
& line_through_3_points("4","1","6") = "2"
& line_through_3_points("4","1","7") = "2"
& line_through_3_points("4","2","1") = "2"
& line_through_3_points("4","2","2") = "3"
& line_through_3_points("4","2","3") = "2"
& line_through_3_points("4","2","4") = "1"
& line_through_3_points("4","2","5") = "6"
& line_through_3_points("4","2","6") = "6"
& line_through_3_points("4","2","7") = "6"
& line_through_3_points("4","3","1") = "2"
& line_through_3_points("4","3","2") = "2"
& line_through_3_points("4","3","3") = "2"
& line_through_3_points("4","3","4") = "3"
& line_through_3_points("4","3","5") = "2"
& line_through_3_points("4","3","6") = "2"
& line_through_3_points("4","3","7") = "3"
& line_through_3_points("4","4","1") = "1"
& line_through_3_points("4","4","2") = "3"
& line_through_3_points("4","4","3") = "3"
& line_through_3_points("4","4","4") = "3"
& line_through_3_points("4","4","5") = "1"
& line_through_3_points("4","4","6") = "5"
& line_through_3_points("4","4","7") = "6"
& line_through_3_points("4","5","1") = "2"
& line_through_3_points("4","5","2") = "6"
& line_through_3_points("4","5","3") = "2"
& line_through_3_points("4","5","4") = "1"
& line_through_3_points("4","5","5") = "1"
& line_through_3_points("4","5","6") = "6"
& line_through_3_points("4","5","7") = "6"
& line_through_3_points("4","6","1") = "4"
& line_through_3_points("4","6","2") = "6"
& line_through_3_points("4","6","3") = "2"
& line_through_3_points("4","6","4") = "5"
& line_through_3_points("4","6","5") = "6"
& line_through_3_points("4","6","6") = "5"
& line_through_3_points("4","6","7") = "6"
& line_through_3_points("4","7","1") = "2"
& line_through_3_points("4","7","2") = "6"
& line_through_3_points("4","7","3") = "2"
& line_through_3_points("4","7","4") = "7"
& line_through_3_points("4","7","5") = "6"
& line_through_3_points("4","7","6") = "6"
& line_through_3_points("4","7","7") = "7"
& line_through_3_points("5","1","1") = "5"
& line_through_3_points("5","1","2") = "2"
& line_through_3_points("5","1","3") = "2"
& line_through_3_points("5","1","4") = "2"
& line_through_3_points("5","1","5") = "1"
& line_through_3_points("5","1","6") = "5"
& line_through_3_points("5","1","7") = "3"
& line_through_3_points("5","2","1") = "2"
& line_through_3_points("5","2","2") = "1"
& line_through_3_points("5","2","3") = "1"
& line_through_3_points("5","2","4") = "6"
& line_through_3_points("5","2","5") = "1"
& line_through_3_points("5","2","6") = "6"
& line_through_3_points("5","2","7") = "6"
& line_through_3_points("5","3","1") = "2"
& line_through_3_points("5","3","2") = "1"
& line_through_3_points("5","3","3") = "5"
& line_through_3_points("5","3","4") = "2"
& line_through_3_points("5","3","5") = "2"
& line_through_3_points("5","3","6") = "5"
& line_through_3_points("5","3","7") = "2"
& line_through_3_points("5","4","1") = "2"
& line_through_3_points("5","4","2") = "6"
& line_through_3_points("5","4","3") = "2"
& line_through_3_points("5","4","4") = "1"
& line_through_3_points("5","4","5") = "1"
& line_through_3_points("5","4","6") = "6"
& line_through_3_points("5","4","7") = "6"
& line_through_3_points("5","5","1") = "2"
& line_through_3_points("5","5","2") = "4"
& line_through_3_points("5","5","3") = "5"
& line_through_3_points("5","5","4") = "2"
& line_through_3_points("5","5","5") = "4"
& line_through_3_points("5","5","6") = "5"
& line_through_3_points("5","5","7") = "7"
& line_through_3_points("5","6","1") = "3"
& line_through_3_points("5","6","2") = "6"
& line_through_3_points("5","6","3") = "5"
& line_through_3_points("5","6","4") = "6"
& line_through_3_points("5","6","5") = "5"
& line_through_3_points("5","6","6") = "5"
& line_through_3_points("5","6","7") = "6"
& line_through_3_points("5","7","1") = "3"
& line_through_3_points("5","7","2") = "6"
& line_through_3_points("5","7","3") = "2"
& line_through_3_points("5","7","4") = "6"
& line_through_3_points("5","7","5") = "7"
& line_through_3_points("5","7","6") = "6"
& line_through_3_points("5","7","7") = "7"
& line_through_3_points("6","1","1") = "5"
& line_through_3_points("6","1","2") = "2"
& line_through_3_points("6","1","3") = "6"
& line_through_3_points("6","1","4") = "1"
& line_through_3_points("6","1","5") = "3"
& line_through_3_points("6","1","6") = "5"
& line_through_3_points("6","1","7") = "7"
& line_through_3_points("6","2","1") = "2"
& line_through_3_points("6","2","2") = "5"
& line_through_3_points("6","2","3") = "1"
& line_through_3_points("6","2","4") = "6"
& line_through_3_points("6","2","5") = "6"
& line_through_3_points("6","2","6") = "5"
& line_through_3_points("6","2","7") = "6"
& line_through_3_points("6","3","1") = "2"
& line_through_3_points("6","3","2") = "1"
& line_through_3_points("6","3","3") = "5"
& line_through_3_points("6","3","4") = "3"
& line_through_3_points("6","3","5") = "5"
& line_through_3_points("6","3","6") = "5"
& line_through_3_points("6","3","7") = "2"
& line_through_3_points("6","4","1") = "6"
& line_through_3_points("6","4","2") = "6"
& line_through_3_points("6","4","3") = "2"
& line_through_3_points("6","4","4") = "5"
& line_through_3_points("6","4","5") = "6"
& line_through_3_points("6","4","6") = "5"
& line_through_3_points("6","4","7") = "6"
& line_through_3_points("6","5","1") = "3"
& line_through_3_points("6","5","2") = "6"
& line_through_3_points("6","5","3") = "7"
& line_through_3_points("6","5","4") = "6"
& line_through_3_points("6","5","5") = "5"
& line_through_3_points("6","5","6") = "5"
& line_through_3_points("6","5","7") = "6"
& line_through_3_points("6","6","1") = "5"
& line_through_3_points("6","6","2") = "5"
& line_through_3_points("6","6","3") = "5"
& line_through_3_points("6","6","4") = "5"
& line_through_3_points("6","6","5") = "5"
& line_through_3_points("6","6","6") = "5"
& line_through_3_points("6","6","7") = "7"
& line_through_3_points("6","7","1") = "7"
& line_through_3_points("6","7","2") = "6"
& line_through_3_points("6","7","3") = "2"
& line_through_3_points("6","7","4") = "6"
& line_through_3_points("6","7","5") = "6"
& line_through_3_points("6","7","6") = "6"
& line_through_3_points("6","7","7") = "7"
& line_through_3_points("7","1","1") = "7"
& line_through_3_points("7","1","2") = "2"
& line_through_3_points("7","1","3") = "2"
& line_through_3_points("7","1","4") = "2"
& line_through_3_points("7","1","5") = "4"
& line_through_3_points("7","1","6") = "7"
& line_through_3_points("7","1","7") = "6"
& line_through_3_points("7","2","1") = "2"
& line_through_3_points("7","2","2") = "7"
& line_through_3_points("7","2","3") = "2"
& line_through_3_points("7","2","4") = "6"
& line_through_3_points("7","2","5") = "6"
& line_through_3_points("7","2","6") = "6"
& line_through_3_points("7","2","7") = "7"
& line_through_3_points("7","3","1") = "2"
& line_through_3_points("7","3","2") = "2"
& line_through_3_points("7","3","3") = "6"
& line_through_3_points("7","3","4") = "2"
& line_through_3_points("7","3","5") = "2"
& line_through_3_points("7","3","6") = "2"
& line_through_3_points("7","3","7") = "7"
& line_through_3_points("7","4","1") = "2"
& line_through_3_points("7","4","2") = "6"
& line_through_3_points("7","4","3") = "2"
& line_through_3_points("7","4","4") = "7"
& line_through_3_points("7","4","5") = "6"
& line_through_3_points("7","4","6") = "6"
& line_through_3_points("7","4","7") = "7"
& line_through_3_points("7","5","1") = "3"
& line_through_3_points("7","5","2") = "6"
& line_through_3_points("7","5","3") = "2"
& line_through_3_points("7","5","4") = "4"
& line_through_3_points("7","5","5") = "7"
& line_through_3_points("7","5","6") = "6"
& line_through_3_points("7","5","7") = "6"
& line_through_3_points("7","6","1") = "7"
& line_through_3_points("7","6","2") = "6"
& line_through_3_points("7","6","3") = "2"
& line_through_3_points("7","6","4") = "6"
& line_through_3_points("7","6","5") = "6"
& line_through_3_points("7","6","6") = "7"
& line_through_3_points("7","6","7") = "7"
& line_through_3_points("7","7","1") = "7"
& line_through_3_points("7","7","2") = "7"
& line_through_3_points("7","7","3") = "7"
& line_through_3_points("7","7","4") = "7"
& line_through_3_points("7","7","5") = "7"
& line_through_3_points("7","7","6") = "7"
& line_through_3_points("7","7","7") = "7" ) ).
fof(on,fi_predicates,
( ( on("1","1")
<=> $true )
& ( on("1","2")
<=> $true )
& ( on("1","3")
<=> $false )
& ( on("1","4")
<=> $false )
& ( on("1","5")
<=> $true )
& ( on("1","6")
<=> $false )
& ( on("1","7")
<=> $true )
& ( on("2","1")
<=> $true )
& ( on("2","2")
<=> $false )
& ( on("2","3")
<=> $false )
& ( on("2","4")
<=> $true )
& ( on("2","5")
<=> $true )
& ( on("2","6")
<=> $true )
& ( on("2","7")
<=> $true )
& ( on("3","1")
<=> $false )
& ( on("3","2")
<=> $true )
& ( on("3","3")
<=> $false )
& ( on("3","4")
<=> $false )
& ( on("3","5")
<=> $true )
& ( on("3","6")
<=> $true )
& ( on("3","7")
<=> $true )
& ( on("4","1")
<=> $false )
& ( on("4","2")
<=> $true )
& ( on("4","3")
<=> $false )
& ( on("4","4")
<=> $true )
& ( on("4","5")
<=> $true )
& ( on("4","6")
<=> $true )
& ( on("4","7")
<=> $false )
& ( on("5","1")
<=> $false )
& ( on("5","2")
<=> $true )
& ( on("5","3")
<=> $false )
& ( on("5","4")
<=> $false )
& ( on("5","5")
<=> $true )
& ( on("5","6")
<=> $true )
& ( on("5","7")
<=> $true )
& ( on("6","1")
<=> $true )
& ( on("6","2")
<=> $false )
& ( on("6","3")
<=> $true )
& ( on("6","4")
<=> $true )
& ( on("6","5")
<=> $true )
& ( on("6","6")
<=> $true )
& ( on("6","7")
<=> $true )
& ( on("7","1")
<=> $false )
& ( on("7","2")
<=> $true )
& ( on("7","3")
<=> $true )
& ( on("7","4")
<=> $false )
& ( on("7","5")
<=> $false )
& ( on("7","6")
<=> $true )
& ( on("7","7")
<=> $true ) ) ).
fof(plane,fi_predicates,
( ( plane("1")
<=> $false )
& ( plane("2")
<=> $false )
& ( plane("3")
<=> $false )
& ( plane("4")
<=> $false )
& ( plane("5")
<=> $true )
& ( plane("6")
<=> $true )
& ( plane("7")
<=> $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") = "2"
& plane_for_points("1","1","4") = "3"
& plane_for_points("1","1","5") = "4"
& plane_for_points("1","1","6") = "5"
& plane_for_points("1","1","7") = "7"
& plane_for_points("1","2","1") = "1"
& plane_for_points("1","2","2") = "1"
& plane_for_points("1","2","3") = "6"
& plane_for_points("1","2","4") = "6"
& plane_for_points("1","2","5") = "1"
& plane_for_points("1","2","6") = "6"
& plane_for_points("1","2","7") = "6"
& plane_for_points("1","3","1") = "3"
& plane_for_points("1","3","2") = "7"
& plane_for_points("1","3","3") = "1"
& plane_for_points("1","3","4") = "7"
& plane_for_points("1","3","5") = "1"
& plane_for_points("1","3","6") = "6"
& plane_for_points("1","3","7") = "6"
& plane_for_points("1","4","1") = "3"
& plane_for_points("1","4","2") = "1"
& plane_for_points("1","4","3") = "1"
& plane_for_points("1","4","4") = "4"
& plane_for_points("1","4","5") = "7"
& plane_for_points("1","4","6") = "5"
& plane_for_points("1","4","7") = "7"
& plane_for_points("1","5","1") = "4"
& plane_for_points("1","5","2") = "4"
& plane_for_points("1","5","3") = "1"
& plane_for_points("1","5","4") = "7"
& plane_for_points("1","5","5") = "1"
& plane_for_points("1","5","6") = "5"
& plane_for_points("1","5","7") = "7"
& plane_for_points("1","6","1") = "5"
& plane_for_points("1","6","2") = "3"
& plane_for_points("1","6","3") = "5"
& plane_for_points("1","6","4") = "5"
& plane_for_points("1","6","5") = "5"
& plane_for_points("1","6","6") = "5"
& plane_for_points("1","6","7") = "7"
& plane_for_points("1","7","1") = "7"
& plane_for_points("1","7","2") = "7"
& plane_for_points("1","7","3") = "7"
& plane_for_points("1","7","4") = "6"
& plane_for_points("1","7","5") = "7"
& plane_for_points("1","7","6") = "7"
& plane_for_points("1","7","7") = "7"
& plane_for_points("2","1","1") = "1"
& plane_for_points("2","1","2") = "2"
& plane_for_points("2","1","3") = "1"
& plane_for_points("2","1","4") = "6"
& plane_for_points("2","1","5") = "4"
& plane_for_points("2","1","6") = "6"
& plane_for_points("2","1","7") = "7"
& plane_for_points("2","2","1") = "1"
& plane_for_points("2","2","2") = "5"
& plane_for_points("2","2","3") = "1"
& plane_for_points("2","2","4") = "5"
& plane_for_points("2","2","5") = "3"
& plane_for_points("2","2","6") = "5"
& plane_for_points("2","2","7") = "7"
& 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") = "7"
& plane_for_points("2","3","5") = "1"
& plane_for_points("2","3","6") = "6"
& plane_for_points("2","3","7") = "6"
& plane_for_points("2","4","1") = "1"
& plane_for_points("2","4","2") = "7"
& plane_for_points("2","4","3") = "5"
& plane_for_points("2","4","4") = "1"
& plane_for_points("2","4","5") = "1"
& plane_for_points("2","4","6") = "6"
& plane_for_points("2","4","7") = "7"
& plane_for_points("2","5","1") = "5"
& plane_for_points("2","5","2") = "1"
& plane_for_points("2","5","3") = "1"
& plane_for_points("2","5","4") = "7"
& plane_for_points("2","5","5") = "7"
& plane_for_points("2","5","6") = "5"
& plane_for_points("2","5","7") = "6"
& plane_for_points("2","6","1") = "6"
& plane_for_points("2","6","2") = "5"
& plane_for_points("2","6","3") = "6"
& plane_for_points("2","6","4") = "7"
& plane_for_points("2","6","5") = "5"
& plane_for_points("2","6","6") = "5"
& plane_for_points("2","6","7") = "7"
& plane_for_points("2","7","1") = "7"
& plane_for_points("2","7","2") = "7"
& plane_for_points("2","7","3") = "7"
& plane_for_points("2","7","4") = "7"
& plane_for_points("2","7","5") = "7"
& plane_for_points("2","7","6") = "7"
& plane_for_points("2","7","7") = "7"
& plane_for_points("3","1","1") = "7"
& plane_for_points("3","1","2") = "1"
& plane_for_points("3","1","3") = "1"
& plane_for_points("3","1","4") = "1"
& plane_for_points("3","1","5") = "1"
& plane_for_points("3","1","6") = "5"
& plane_for_points("3","1","7") = "7"
& plane_for_points("3","2","1") = "7"
& plane_for_points("3","2","2") = "1"
& plane_for_points("3","2","3") = "1"
& plane_for_points("3","2","4") = "3"
& plane_for_points("3","2","5") = "3"
& plane_for_points("3","2","6") = "6"
& plane_for_points("3","2","7") = "6"
& plane_for_points("3","3","1") = "3"
& plane_for_points("3","3","2") = "1"
& plane_for_points("3","3","3") = "1"
& plane_for_points("3","3","4") = "3"
& plane_for_points("3","3","5") = "7"
& plane_for_points("3","3","6") = "5"
& plane_for_points("3","3","7") = "7"
& plane_for_points("3","4","1") = "1"
& plane_for_points("3","4","2") = "2"
& plane_for_points("3","4","3") = "1"
& plane_for_points("3","4","4") = "3"
& plane_for_points("3","4","5") = "6"
& plane_for_points("3","4","6") = "6"
& plane_for_points("3","4","7") = "7"
& plane_for_points("3","5","1") = "1"
& plane_for_points("3","5","2") = "1"
& plane_for_points("3","5","3") = "1"
& plane_for_points("3","5","4") = "6"
& plane_for_points("3","5","5") = "1"
& plane_for_points("3","5","6") = "7"
& plane_for_points("3","5","7") = "7"
& plane_for_points("3","6","1") = "5"
& plane_for_points("3","6","2") = "6"
& plane_for_points("3","6","3") = "5"
& plane_for_points("3","6","4") = "5"
& plane_for_points("3","6","5") = "6"
& plane_for_points("3","6","6") = "5"
& plane_for_points("3","6","7") = "6"
& plane_for_points("3","7","1") = "7"
& plane_for_points("3","7","2") = "6"
& plane_for_points("3","7","3") = "7"
& plane_for_points("3","7","4") = "7"
& plane_for_points("3","7","5") = "7"
& plane_for_points("3","7","6") = "7"
& plane_for_points("3","7","7") = "6"
& plane_for_points("4","1","1") = "1"
& plane_for_points("4","1","2") = "7"
& plane_for_points("4","1","3") = "1"
& plane_for_points("4","1","4") = "3"
& plane_for_points("4","1","5") = "7"
& plane_for_points("4","1","6") = "5"
& plane_for_points("4","1","7") = "7"
& plane_for_points("4","2","1") = "3"
& plane_for_points("4","2","2") = "3"
& plane_for_points("4","2","3") = "6"
& plane_for_points("4","2","4") = "3"
& plane_for_points("4","2","5") = "3"
& plane_for_points("4","2","6") = "5"
& plane_for_points("4","2","7") = "6"
& plane_for_points("4","3","1") = "7"
& plane_for_points("4","3","2") = "1"
& plane_for_points("4","3","3") = "7"
& plane_for_points("4","3","4") = "3"
& plane_for_points("4","3","5") = "6"
& plane_for_points("4","3","6") = "5"
& plane_for_points("4","3","7") = "6"
& plane_for_points("4","4","1") = "1"
& plane_for_points("4","4","2") = "1"
& plane_for_points("4","4","3") = "1"
& plane_for_points("4","4","4") = "1"
& plane_for_points("4","4","5") = "7"
& plane_for_points("4","4","6") = "5"
& plane_for_points("4","4","7") = "7"
& plane_for_points("4","5","1") = "7"
& plane_for_points("4","5","2") = "7"
& plane_for_points("4","5","3") = "6"
& plane_for_points("4","5","4") = "7"
& plane_for_points("4","5","5") = "7"
& plane_for_points("4","5","6") = "5"
& plane_for_points("4","5","7") = "7"
& plane_for_points("4","6","1") = "5"
& plane_for_points("4","6","2") = "5"
& plane_for_points("4","6","3") = "5"
& plane_for_points("4","6","4") = "5"
& plane_for_points("4","6","5") = "5"
& plane_for_points("4","6","6") = "5"
& plane_for_points("4","6","7") = "6"
& plane_for_points("4","7","1") = "6"
& plane_for_points("4","7","2") = "7"
& plane_for_points("4","7","3") = "6"
& plane_for_points("4","7","4") = "7"
& plane_for_points("4","7","5") = "7"
& plane_for_points("4","7","6") = "6"
& plane_for_points("4","7","7") = "6"
& plane_for_points("5","1","1") = "7"
& plane_for_points("5","1","2") = "7"
& plane_for_points("5","1","3") = "3"
& plane_for_points("5","1","4") = "7"
& plane_for_points("5","1","5") = "1"
& plane_for_points("5","1","6") = "5"
& plane_for_points("5","1","7") = "7"
& plane_for_points("5","2","1") = "3"
& plane_for_points("5","2","2") = "2"
& plane_for_points("5","2","3") = "6"
& plane_for_points("5","2","4") = "4"
& plane_for_points("5","2","5") = "3"
& plane_for_points("5","2","6") = "5"
& plane_for_points("5","2","7") = "7"
& plane_for_points("5","3","1") = "7"
& plane_for_points("5","3","2") = "4"
& plane_for_points("5","3","3") = "3"
& plane_for_points("5","3","4") = "3"
& plane_for_points("5","3","5") = "3"
& plane_for_points("5","3","6") = "6"
& plane_for_points("5","3","7") = "7"
& plane_for_points("5","4","1") = "2"
& plane_for_points("5","4","2") = "1"
& plane_for_points("5","4","3") = "7"
& plane_for_points("5","4","4") = "7"
& plane_for_points("5","4","5") = "3"
& plane_for_points("5","4","6") = "5"
& plane_for_points("5","4","7") = "7"
& plane_for_points("5","5","1") = "1"
& plane_for_points("5","5","2") = "1"
& plane_for_points("5","5","3") = "5"
& plane_for_points("5","5","4") = "1"
& plane_for_points("5","5","5") = "3"
& plane_for_points("5","5","6") = "5"
& plane_for_points("5","5","7") = "6"
& plane_for_points("5","6","1") = "5"
& plane_for_points("5","6","2") = "5"
& plane_for_points("5","6","3") = "6"
& plane_for_points("5","6","4") = "5"
& plane_for_points("5","6","5") = "5"
& plane_for_points("5","6","6") = "5"
& plane_for_points("5","6","7") = "7"
& plane_for_points("5","7","1") = "7"
& plane_for_points("5","7","2") = "7"
& plane_for_points("5","7","3") = "7"
& plane_for_points("5","7","4") = "7"
& plane_for_points("5","7","5") = "7"
& plane_for_points("5","7","6") = "6"
& plane_for_points("5","7","7") = "7"
& plane_for_points("6","1","1") = "5"
& plane_for_points("6","1","2") = "6"
& plane_for_points("6","1","3") = "5"
& plane_for_points("6","1","4") = "5"
& plane_for_points("6","1","5") = "5"
& plane_for_points("6","1","6") = "5"
& plane_for_points("6","1","7") = "7"
& plane_for_points("6","2","1") = "7"
& plane_for_points("6","2","2") = "5"
& plane_for_points("6","2","3") = "6"
& plane_for_points("6","2","4") = "5"
& plane_for_points("6","2","5") = "5"
& plane_for_points("6","2","6") = "5"
& plane_for_points("6","2","7") = "7"
& plane_for_points("6","3","1") = "3"
& plane_for_points("6","3","2") = "7"
& plane_for_points("6","3","3") = "5"
& plane_for_points("6","3","4") = "5"
& plane_for_points("6","3","5") = "6"
& plane_for_points("6","3","6") = "5"
& plane_for_points("6","3","7") = "7"
& plane_for_points("6","4","1") = "5"
& plane_for_points("6","4","2") = "5"
& plane_for_points("6","4","3") = "5"
& plane_for_points("6","4","4") = "5"
& plane_for_points("6","4","5") = "5"
& plane_for_points("6","4","6") = "5"
& plane_for_points("6","4","7") = "6"
& plane_for_points("6","5","1") = "6"
& plane_for_points("6","5","2") = "7"
& plane_for_points("6","5","3") = "6"
& plane_for_points("6","5","4") = "4"
& plane_for_points("6","5","5") = "5"
& plane_for_points("6","5","6") = "5"
& plane_for_points("6","5","7") = "7"
& plane_for_points("6","6","1") = "5"
& plane_for_points("6","6","2") = "5"
& plane_for_points("6","6","3") = "5"
& plane_for_points("6","6","4") = "5"
& plane_for_points("6","6","5") = "5"
& plane_for_points("6","6","6") = "5"
& plane_for_points("6","6","7") = "7"
& plane_for_points("6","7","1") = "7"
& plane_for_points("6","7","2") = "7"
& plane_for_points("6","7","3") = "7"
& plane_for_points("6","7","4") = "6"
& plane_for_points("6","7","5") = "7"
& plane_for_points("6","7","6") = "7"
& plane_for_points("6","7","7") = "7"
& plane_for_points("7","1","1") = "7"
& plane_for_points("7","1","2") = "7"
& plane_for_points("7","1","3") = "7"
& plane_for_points("7","1","4") = "6"
& plane_for_points("7","1","5") = "7"
& plane_for_points("7","1","6") = "7"
& plane_for_points("7","1","7") = "7"
& plane_for_points("7","2","1") = "7"
& plane_for_points("7","2","2") = "7"
& plane_for_points("7","2","3") = "7"
& plane_for_points("7","2","4") = "6"
& plane_for_points("7","2","5") = "7"
& plane_for_points("7","2","6") = "7"
& plane_for_points("7","2","7") = "7"
& plane_for_points("7","3","1") = "7"
& plane_for_points("7","3","2") = "7"
& plane_for_points("7","3","3") = "7"
& plane_for_points("7","3","4") = "7"
& plane_for_points("7","3","5") = "7"
& plane_for_points("7","3","6") = "7"
& plane_for_points("7","3","7") = "7"
& plane_for_points("7","4","1") = "6"
& plane_for_points("7","4","2") = "7"
& plane_for_points("7","4","3") = "7"
& plane_for_points("7","4","4") = "6"
& plane_for_points("7","4","5") = "7"
& plane_for_points("7","4","6") = "6"
& plane_for_points("7","4","7") = "7"
& plane_for_points("7","5","1") = "7"
& plane_for_points("7","5","2") = "7"
& plane_for_points("7","5","3") = "7"
& plane_for_points("7","5","4") = "7"
& plane_for_points("7","5","5") = "6"
& plane_for_points("7","5","6") = "7"
& plane_for_points("7","5","7") = "7"
& plane_for_points("7","6","1") = "7"
& plane_for_points("7","6","2") = "7"
& plane_for_points("7","6","3") = "7"
& plane_for_points("7","6","4") = "6"
& plane_for_points("7","6","5") = "7"
& plane_for_points("7","6","6") = "7"
& plane_for_points("7","6","7") = "7"
& plane_for_points("7","7","1") = "7"
& plane_for_points("7","7","2") = "7"
& plane_for_points("7","7","3") = "7"
& plane_for_points("7","7","4") = "7"
& plane_for_points("7","7","5") = "7"
& plane_for_points("7","7","6") = "7"
& plane_for_points("7","7","7") = "7" ) ).
fof(point,fi_predicates,
( ( point("1")
<=> $true )
& ( point("2")
<=> $false )
& ( point("3")
<=> $false )
& ( point("4")
<=> $true )
& ( point("5")
<=> $false )
& ( point("6")
<=> $true )
& ( point("7")
<=> $true ) ) ).
fof(point_1_on_line,fi_functors,
( point_1_on_line("1") = "1"
& point_1_on_line("2") = "7"
& point_1_on_line("3") = "7"
& point_1_on_line("4") = "4"
& point_1_on_line("5") = "6"
& point_1_on_line("6") = "4"
& point_1_on_line("7") = "6" ) ).
fof(point_2_on_line,fi_functors,
( point_2_on_line("1") = "6"
& point_2_on_line("2") = "4"
& point_2_on_line("3") = "6"
& point_2_on_line("4") = "6"
& point_2_on_line("5") = "6"
& point_2_on_line("6") = "4"
& point_2_on_line("7") = "6" ) ).
fof(point_not_on_line,fi_functors,
( point_not_on_line("1") = "4"
& point_not_on_line("2") = "6"
& point_not_on_line("3") = "4"
& point_not_on_line("4") = "1"
& point_not_on_line("5") = "5"
& point_not_on_line("6") = "1"
& point_not_on_line("7") = "5" ) ).
fof(point_not_on_plane,fi_functors,
( point_not_on_plane("1") = "3"
& point_not_on_plane("2") = "4"
& point_not_on_plane("3") = "1"
& point_not_on_plane("4") = "4"
& point_not_on_plane("5") = "7"
& point_not_on_plane("6") = "1"
& point_not_on_plane("7") = "4" ) ).
fof(point_on_plane,fi_functors,
( point_on_plane("1") = "1"
& point_on_plane("2") = "6"
& point_on_plane("3") = "1"
& point_on_plane("4") = "6"
& point_on_plane("5") = "4"
& point_on_plane("6") = "6"
& point_on_plane("7") = "7" ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GEO157-1 : TPTP v8.1.0. Released v2.5.0.
% 0.09/0.11 % Command : paradox --no-progress --time %d --tstp --model %s
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Fri Jun 17 21:25:31 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.11/0.31 Paradox, version 4.0, 2010-06-29.
% 0.11/0.31 +++ PROBLEM: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.31 Reading '/export/starexec/sandbox/benchmark/theBenchmark.p' ... OK
% 0.16/0.31 Reading 'Axioms/GEO003-0.ax' ... ('/export/starexec/sandbox/benchmark/Axioms/GEO003-0.ax') OK
% 0.16/0.32 +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.26/9.45 +++ BEGIN MODEL
% 9.26/9.45 SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 9.26/9.46 +++ END MODEL
% 9.26/9.46 +++ RESULT: Satisfiable
% 9.26/9.46 SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------