%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO157-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:53:44 AM UTC 2026
% Result : Satisfiable 8.26s 1.84s
% Output : FiniteModel 8.26s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
tff('declare_$i1',type,
'fmb_$i_1': $i ).
tff('declare_$i2',type,
'fmb_$i_2': $i ).
tff('declare_$i3',type,
'fmb_$i_3': $i ).
tff('declare_$i4',type,
'fmb_$i_4': $i ).
tff('declare_$i5',type,
'fmb_$i_5': $i ).
tff('declare_$i6',type,
'fmb_$i_6': $i ).
tff('declare_$i7',type,
'fmb_$i_7': $i ).
tff('declare_$i8',type,
'fmb_$i_8': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' )
| ( X = 'fmb_$i_3' )
| ( X = 'fmb_$i_4' )
| ( X = 'fmb_$i_5' )
| ( X = 'fmb_$i_6' )
| ( X = 'fmb_$i_7' )
| ( X = 'fmb_$i_8' ) ) ).
tff('distinct_domain_$i',axiom,
( ( 'fmb_$i_1' != 'fmb_$i_2' )
& ( 'fmb_$i_1' != 'fmb_$i_3' )
& ( 'fmb_$i_1' != 'fmb_$i_4' )
& ( 'fmb_$i_1' != 'fmb_$i_5' )
& ( 'fmb_$i_1' != 'fmb_$i_6' )
& ( 'fmb_$i_1' != 'fmb_$i_7' )
& ( 'fmb_$i_1' != 'fmb_$i_8' )
& ( 'fmb_$i_2' != 'fmb_$i_3' )
& ( 'fmb_$i_2' != 'fmb_$i_4' )
& ( 'fmb_$i_2' != 'fmb_$i_5' )
& ( 'fmb_$i_2' != 'fmb_$i_6' )
& ( 'fmb_$i_2' != 'fmb_$i_7' )
& ( 'fmb_$i_2' != 'fmb_$i_8' )
& ( 'fmb_$i_3' != 'fmb_$i_4' )
& ( 'fmb_$i_3' != 'fmb_$i_5' )
& ( 'fmb_$i_3' != 'fmb_$i_6' )
& ( 'fmb_$i_3' != 'fmb_$i_7' )
& ( 'fmb_$i_3' != 'fmb_$i_8' )
& ( 'fmb_$i_4' != 'fmb_$i_5' )
& ( 'fmb_$i_4' != 'fmb_$i_6' )
& ( 'fmb_$i_4' != 'fmb_$i_7' )
& ( 'fmb_$i_4' != 'fmb_$i_8' )
& ( 'fmb_$i_5' != 'fmb_$i_6' )
& ( 'fmb_$i_5' != 'fmb_$i_7' )
& ( 'fmb_$i_5' != 'fmb_$i_8' )
& ( 'fmb_$i_6' != 'fmb_$i_7' )
& ( 'fmb_$i_6' != 'fmb_$i_8' )
& ( 'fmb_$i_7' != 'fmb_$i_8' ) ) ).
tff(declare_at_least_one_line,type,
at_least_one_line: $i ).
tff(at_least_one_line_definition,axiom,
at_least_one_line = 'fmb_$i_1' ).
tff(declare_line_from_to,type,
line_from_to: ( $i * $i ) > $i ).
tff(function_line_from_to,axiom,
( ( line_from_to('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_1','fmb_$i_3') = 'fmb_$i_8' )
& ( line_from_to('fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_1','fmb_$i_5') = 'fmb_$i_8' )
& ( line_from_to('fmb_$i_1','fmb_$i_6') = 'fmb_$i_8' )
& ( line_from_to('fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( line_from_to('fmb_$i_2','fmb_$i_4') = 'fmb_$i_8' )
& ( line_from_to('fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( line_from_to('fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_3','fmb_$i_5') = 'fmb_$i_8' )
& ( line_from_to('fmb_$i_3','fmb_$i_6') = 'fmb_$i_6' )
& ( line_from_to('fmb_$i_3','fmb_$i_7') = 'fmb_$i_7' )
& ( line_from_to('fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_4','fmb_$i_6') = 'fmb_$i_8' )
& ( line_from_to('fmb_$i_4','fmb_$i_7') = 'fmb_$i_8' )
& ( line_from_to('fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_5','fmb_$i_7') = 'fmb_$i_8' )
& ( line_from_to('fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_6','fmb_$i_3') = 'fmb_$i_6' )
& ( line_from_to('fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_6','fmb_$i_8') = 'fmb_$i_2' )
& ( line_from_to('fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_7','fmb_$i_3') = 'fmb_$i_7' )
& ( line_from_to('fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_8','fmb_$i_2') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_8','fmb_$i_3') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( line_from_to('fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' ) ) ).
tff(declare_point_1_on_line,type,
point_1_on_line: $i > $i ).
tff(function_point_1_on_line,axiom,
( ( point_1_on_line('fmb_$i_1') = 'fmb_$i_2' )
& ( point_1_on_line('fmb_$i_2') = 'fmb_$i_1' )
& ( point_1_on_line('fmb_$i_3') = 'fmb_$i_3' )
& ( point_1_on_line('fmb_$i_4') = 'fmb_$i_1' )
& ( point_1_on_line('fmb_$i_5') = 'fmb_$i_6' )
& ( point_1_on_line('fmb_$i_6') = 'fmb_$i_3' )
& ( point_1_on_line('fmb_$i_7') = 'fmb_$i_3' )
& ( point_1_on_line('fmb_$i_8') = 'fmb_$i_1' ) ) ).
tff(declare_point_2_on_line,type,
point_2_on_line: $i > $i ).
tff(function_point_2_on_line,axiom,
( ( point_2_on_line('fmb_$i_1') = 'fmb_$i_7' )
& ( point_2_on_line('fmb_$i_2') = 'fmb_$i_1' )
& ( point_2_on_line('fmb_$i_3') = 'fmb_$i_2' )
& ( point_2_on_line('fmb_$i_4') = 'fmb_$i_1' )
& ( point_2_on_line('fmb_$i_5') = 'fmb_$i_6' )
& ( point_2_on_line('fmb_$i_6') = 'fmb_$i_6' )
& ( point_2_on_line('fmb_$i_7') = 'fmb_$i_7' )
& ( point_2_on_line('fmb_$i_8') = 'fmb_$i_1' ) ) ).
tff(declare_point_not_on_line,type,
point_not_on_line: $i > $i ).
tff(function_point_not_on_line,axiom,
( ( point_not_on_line('fmb_$i_1') = 'fmb_$i_3' )
& ( point_not_on_line('fmb_$i_2') = 'fmb_$i_1' )
& ( point_not_on_line('fmb_$i_3') = 'fmb_$i_7' )
& ( point_not_on_line('fmb_$i_4') = 'fmb_$i_1' )
& ( point_not_on_line('fmb_$i_5') = 'fmb_$i_1' )
& ( point_not_on_line('fmb_$i_6') = 'fmb_$i_7' )
& ( point_not_on_line('fmb_$i_7') = 'fmb_$i_2' )
& ( point_not_on_line('fmb_$i_8') = 'fmb_$i_1' ) ) ).
tff(declare_point_on_plane,type,
point_on_plane: $i > $i ).
tff(function_point_on_plane,axiom,
( ( point_on_plane('fmb_$i_1') = 'fmb_$i_1' )
& ( point_on_plane('fmb_$i_2') = 'fmb_$i_6' )
& ( point_on_plane('fmb_$i_3') = 'fmb_$i_1' )
& ( point_on_plane('fmb_$i_4') = 'fmb_$i_7' )
& ( point_on_plane('fmb_$i_5') = 'fmb_$i_1' )
& ( point_on_plane('fmb_$i_6') = 'fmb_$i_1' )
& ( point_on_plane('fmb_$i_7') = 'fmb_$i_1' )
& ( point_on_plane('fmb_$i_8') = 'fmb_$i_7' ) ) ).
tff(declare_point_not_on_plane,type,
point_not_on_plane: $i > $i ).
tff(function_point_not_on_plane,axiom,
( ( point_not_on_plane('fmb_$i_1') = 'fmb_$i_1' )
& ( point_not_on_plane('fmb_$i_2') = 'fmb_$i_7' )
& ( point_not_on_plane('fmb_$i_3') = 'fmb_$i_1' )
& ( point_not_on_plane('fmb_$i_4') = 'fmb_$i_2' )
& ( point_not_on_plane('fmb_$i_5') = 'fmb_$i_1' )
& ( point_not_on_plane('fmb_$i_6') = 'fmb_$i_1' )
& ( point_not_on_plane('fmb_$i_7') = 'fmb_$i_1' )
& ( point_not_on_plane('fmb_$i_8') = 'fmb_$i_6' ) ) ).
tff(declare_plane_for_points,type,
plane_for_points: ( $i * $i * $i ) > $i ).
tff(function_plane_for_points,axiom,
( ( plane_for_points('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_8','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_8','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_1','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_3','fmb_$i_6') = 'fmb_$i_2' )
& ( plane_for_points('fmb_$i_2','fmb_$i_3','fmb_$i_7') = 'fmb_$i_8' )
& ( plane_for_points('fmb_$i_2','fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_6','fmb_$i_3') = 'fmb_$i_2' )
& ( plane_for_points('fmb_$i_2','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_7','fmb_$i_3') = 'fmb_$i_8' )
& ( plane_for_points('fmb_$i_2','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_8','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_8','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_2','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_2','fmb_$i_6') = 'fmb_$i_2' )
& ( plane_for_points('fmb_$i_3','fmb_$i_2','fmb_$i_7') = 'fmb_$i_8' )
& ( plane_for_points('fmb_$i_3','fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_6','fmb_$i_2') = 'fmb_$i_2' )
& ( plane_for_points('fmb_$i_3','fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_6','fmb_$i_7') = 'fmb_$i_4' )
& ( plane_for_points('fmb_$i_3','fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_7','fmb_$i_2') = 'fmb_$i_8' )
& ( plane_for_points('fmb_$i_3','fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_7','fmb_$i_6') = 'fmb_$i_4' )
& ( plane_for_points('fmb_$i_3','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_8','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_8','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_3','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_8','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_8','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_4','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_8','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_8','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_5','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( plane_for_points('fmb_$i_6','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_3','fmb_$i_2') = 'fmb_$i_2' )
& ( plane_for_points('fmb_$i_6','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_3','fmb_$i_7') = 'fmb_$i_4' )
& ( plane_for_points('fmb_$i_6','fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_7','fmb_$i_3') = 'fmb_$i_4' )
& ( plane_for_points('fmb_$i_6','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_8','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_8','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_6','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_2','fmb_$i_3') = 'fmb_$i_8' )
& ( plane_for_points('fmb_$i_7','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_3','fmb_$i_2') = 'fmb_$i_8' )
& ( plane_for_points('fmb_$i_7','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_3','fmb_$i_6') = 'fmb_$i_4' )
& ( plane_for_points('fmb_$i_7','fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_6','fmb_$i_3') = 'fmb_$i_4' )
& ( plane_for_points('fmb_$i_7','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_8','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_8','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_7','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_8','fmb_$i_2') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_8','fmb_$i_3') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( plane_for_points('fmb_$i_8','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' ) ) ).
tff(declare_common_point_on_planes,type,
common_point_on_planes: ( $i * $i * $i ) > $i ).
tff(function_common_point_on_planes,axiom,
( ( common_point_on_planes('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_8','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_8','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_4','fmb_$i_3') = 'fmb_$i_6' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_4','fmb_$i_6') = 'fmb_$i_3' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_8','fmb_$i_2') = 'fmb_$i_3' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_8','fmb_$i_3') = 'fmb_$i_2' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_2','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_8','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_8','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_3','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_2','fmb_$i_3') = 'fmb_$i_6' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_2','fmb_$i_6') = 'fmb_$i_3' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_8','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_8','fmb_$i_3') = 'fmb_$i_7' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_8','fmb_$i_7') = 'fmb_$i_3' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_8','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_8','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_5','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_8','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_8','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_6','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_8','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_8','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_7','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_4','fmb_$i_3') = 'fmb_$i_7' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_4','fmb_$i_7') = 'fmb_$i_3' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_8','fmb_$i_2') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_8','fmb_$i_3') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( common_point_on_planes('fmb_$i_8','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' ) ) ).
tff(declare_line_through_3_points,type,
line_through_3_points: ( $i * $i * $i ) > $i ).
tff(function_line_through_3_points,axiom,
( ( line_through_3_points('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_8','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_8','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_1','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_3','fmb_$i_6') = 'fmb_$i_8' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_3','fmb_$i_7') = 'fmb_$i_8' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_6','fmb_$i_3') = 'fmb_$i_8' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_7','fmb_$i_3') = 'fmb_$i_8' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_8','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_8','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_2','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_2','fmb_$i_6') = 'fmb_$i_8' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_2','fmb_$i_7') = 'fmb_$i_8' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_6','fmb_$i_2') = 'fmb_$i_8' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_6','fmb_$i_7') = 'fmb_$i_8' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_7','fmb_$i_2') = 'fmb_$i_8' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_7','fmb_$i_6') = 'fmb_$i_8' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_8','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_8','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_3','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_8','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_8','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_4','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_8','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_8','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_5','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_2','fmb_$i_3') = 'fmb_$i_8' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_3','fmb_$i_2') = 'fmb_$i_8' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_3','fmb_$i_7') = 'fmb_$i_8' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_7','fmb_$i_3') = 'fmb_$i_8' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_8','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_8','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_6','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_2','fmb_$i_3') = 'fmb_$i_8' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_3','fmb_$i_6') = 'fmb_$i_8' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_6','fmb_$i_3') = 'fmb_$i_8' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_8','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_8','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_7','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_8','fmb_$i_2') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_8','fmb_$i_3') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( line_through_3_points('fmb_$i_8','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' ) ) ).
tff(declare_on,type,
on: ( $i * $i ) > $o ).
tff(predicate_on,axiom,
( on('fmb_$i_1','fmb_$i_1')
& on('fmb_$i_1','fmb_$i_2')
& on('fmb_$i_1','fmb_$i_3')
& on('fmb_$i_1','fmb_$i_4')
& ~ on('fmb_$i_1','fmb_$i_5')
& on('fmb_$i_1','fmb_$i_6')
& on('fmb_$i_1','fmb_$i_7')
& on('fmb_$i_1','fmb_$i_8')
& on('fmb_$i_2','fmb_$i_1')
& on('fmb_$i_2','fmb_$i_2')
& on('fmb_$i_2','fmb_$i_3')
& ~ on('fmb_$i_2','fmb_$i_4')
& ~ on('fmb_$i_2','fmb_$i_5')
& ~ on('fmb_$i_2','fmb_$i_6')
& ~ on('fmb_$i_2','fmb_$i_7')
& on('fmb_$i_2','fmb_$i_8')
& ~ on('fmb_$i_3','fmb_$i_1')
& on('fmb_$i_3','fmb_$i_2')
& on('fmb_$i_3','fmb_$i_3')
& on('fmb_$i_3','fmb_$i_4')
& ~ on('fmb_$i_3','fmb_$i_5')
& on('fmb_$i_3','fmb_$i_6')
& on('fmb_$i_3','fmb_$i_7')
& on('fmb_$i_3','fmb_$i_8')
& on('fmb_$i_4','fmb_$i_1')
& on('fmb_$i_4','fmb_$i_2')
& on('fmb_$i_4','fmb_$i_3')
& on('fmb_$i_4','fmb_$i_4')
& ~ on('fmb_$i_4','fmb_$i_5')
& on('fmb_$i_4','fmb_$i_6')
& on('fmb_$i_4','fmb_$i_7')
& on('fmb_$i_4','fmb_$i_8')
& on('fmb_$i_5','fmb_$i_1')
& on('fmb_$i_5','fmb_$i_2')
& on('fmb_$i_5','fmb_$i_3')
& on('fmb_$i_5','fmb_$i_4')
& ~ on('fmb_$i_5','fmb_$i_5')
& on('fmb_$i_5','fmb_$i_6')
& on('fmb_$i_5','fmb_$i_7')
& on('fmb_$i_5','fmb_$i_8')
& on('fmb_$i_6','fmb_$i_1')
& on('fmb_$i_6','fmb_$i_2')
& ~ on('fmb_$i_6','fmb_$i_3')
& on('fmb_$i_6','fmb_$i_4')
& on('fmb_$i_6','fmb_$i_5')
& on('fmb_$i_6','fmb_$i_6')
& ~ on('fmb_$i_6','fmb_$i_7')
& ~ on('fmb_$i_6','fmb_$i_8')
& on('fmb_$i_7','fmb_$i_1')
& ~ on('fmb_$i_7','fmb_$i_2')
& ~ on('fmb_$i_7','fmb_$i_3')
& on('fmb_$i_7','fmb_$i_4')
& on('fmb_$i_7','fmb_$i_5')
& ~ on('fmb_$i_7','fmb_$i_6')
& on('fmb_$i_7','fmb_$i_7')
& on('fmb_$i_7','fmb_$i_8')
& on('fmb_$i_8','fmb_$i_1')
& on('fmb_$i_8','fmb_$i_2')
& on('fmb_$i_8','fmb_$i_3')
& on('fmb_$i_8','fmb_$i_4')
& ~ on('fmb_$i_8','fmb_$i_5')
& on('fmb_$i_8','fmb_$i_6')
& on('fmb_$i_8','fmb_$i_7')
& on('fmb_$i_8','fmb_$i_8') ) ).
tff(declare_point,type,
point: $i > $o ).
tff(predicate_point,axiom,
( ~ point('fmb_$i_1')
& point('fmb_$i_2')
& point('fmb_$i_3')
& ~ point('fmb_$i_4')
& ~ point('fmb_$i_5')
& point('fmb_$i_6')
& point('fmb_$i_7')
& ~ point('fmb_$i_8') ) ).
tff(declare_line,type,
line: $i > $o ).
tff(predicate_line,axiom,
( line('fmb_$i_1')
& ~ line('fmb_$i_2')
& line('fmb_$i_3')
& ~ line('fmb_$i_4')
& ~ line('fmb_$i_5')
& line('fmb_$i_6')
& line('fmb_$i_7')
& ~ line('fmb_$i_8') ) ).
tff(declare_plane,type,
plane: $i > $o ).
tff(predicate_plane,axiom,
( ~ plane('fmb_$i_1')
& plane('fmb_$i_2')
& ~ plane('fmb_$i_3')
& plane('fmb_$i_4')
& ~ plane('fmb_$i_5')
& ~ plane('fmb_$i_6')
& ~ plane('fmb_$i_7')
& plane('fmb_$i_8') ) ).
tff(declare_collinear,type,
collinear: ( $i * $i * $i ) > $o ).
tff(predicate_collinear,axiom,
( collinear('fmb_$i_1','fmb_$i_1','fmb_$i_1')
& collinear('fmb_$i_1','fmb_$i_1','fmb_$i_2')
& collinear('fmb_$i_1','fmb_$i_1','fmb_$i_3')
& collinear('fmb_$i_1','fmb_$i_1','fmb_$i_4')
& collinear('fmb_$i_1','fmb_$i_1','fmb_$i_5')
& collinear('fmb_$i_1','fmb_$i_1','fmb_$i_6')
& collinear('fmb_$i_1','fmb_$i_1','fmb_$i_7')
& collinear('fmb_$i_1','fmb_$i_1','fmb_$i_8')
& collinear('fmb_$i_1','fmb_$i_2','fmb_$i_1')
& collinear('fmb_$i_1','fmb_$i_2','fmb_$i_2')
& collinear('fmb_$i_1','fmb_$i_2','fmb_$i_3')
& collinear('fmb_$i_1','fmb_$i_2','fmb_$i_4')
& collinear('fmb_$i_1','fmb_$i_2','fmb_$i_5')
& collinear('fmb_$i_1','fmb_$i_2','fmb_$i_6')
& collinear('fmb_$i_1','fmb_$i_2','fmb_$i_7')
& collinear('fmb_$i_1','fmb_$i_2','fmb_$i_8')
& collinear('fmb_$i_1','fmb_$i_3','fmb_$i_1')
& collinear('fmb_$i_1','fmb_$i_3','fmb_$i_2')
& collinear('fmb_$i_1','fmb_$i_3','fmb_$i_3')
& collinear('fmb_$i_1','fmb_$i_3','fmb_$i_4')
& collinear('fmb_$i_1','fmb_$i_3','fmb_$i_5')
& collinear('fmb_$i_1','fmb_$i_3','fmb_$i_6')
& collinear('fmb_$i_1','fmb_$i_3','fmb_$i_7')
& collinear('fmb_$i_1','fmb_$i_3','fmb_$i_8')
& collinear('fmb_$i_1','fmb_$i_4','fmb_$i_1')
& collinear('fmb_$i_1','fmb_$i_4','fmb_$i_2')
& collinear('fmb_$i_1','fmb_$i_4','fmb_$i_3')
& collinear('fmb_$i_1','fmb_$i_4','fmb_$i_4')
& collinear('fmb_$i_1','fmb_$i_4','fmb_$i_5')
& collinear('fmb_$i_1','fmb_$i_4','fmb_$i_6')
& collinear('fmb_$i_1','fmb_$i_4','fmb_$i_7')
& collinear('fmb_$i_1','fmb_$i_4','fmb_$i_8')
& collinear('fmb_$i_1','fmb_$i_5','fmb_$i_1')
& collinear('fmb_$i_1','fmb_$i_5','fmb_$i_2')
& collinear('fmb_$i_1','fmb_$i_5','fmb_$i_3')
& collinear('fmb_$i_1','fmb_$i_5','fmb_$i_4')
& collinear('fmb_$i_1','fmb_$i_5','fmb_$i_5')
& collinear('fmb_$i_1','fmb_$i_5','fmb_$i_6')
& collinear('fmb_$i_1','fmb_$i_5','fmb_$i_7')
& collinear('fmb_$i_1','fmb_$i_5','fmb_$i_8')
& collinear('fmb_$i_1','fmb_$i_6','fmb_$i_1')
& collinear('fmb_$i_1','fmb_$i_6','fmb_$i_2')
& collinear('fmb_$i_1','fmb_$i_6','fmb_$i_3')
& collinear('fmb_$i_1','fmb_$i_6','fmb_$i_4')
& collinear('fmb_$i_1','fmb_$i_6','fmb_$i_5')
& collinear('fmb_$i_1','fmb_$i_6','fmb_$i_6')
& collinear('fmb_$i_1','fmb_$i_6','fmb_$i_7')
& collinear('fmb_$i_1','fmb_$i_6','fmb_$i_8')
& collinear('fmb_$i_1','fmb_$i_7','fmb_$i_1')
& collinear('fmb_$i_1','fmb_$i_7','fmb_$i_2')
& collinear('fmb_$i_1','fmb_$i_7','fmb_$i_3')
& collinear('fmb_$i_1','fmb_$i_7','fmb_$i_4')
& collinear('fmb_$i_1','fmb_$i_7','fmb_$i_5')
& collinear('fmb_$i_1','fmb_$i_7','fmb_$i_6')
& collinear('fmb_$i_1','fmb_$i_7','fmb_$i_7')
& collinear('fmb_$i_1','fmb_$i_7','fmb_$i_8')
& collinear('fmb_$i_1','fmb_$i_8','fmb_$i_1')
& collinear('fmb_$i_1','fmb_$i_8','fmb_$i_2')
& collinear('fmb_$i_1','fmb_$i_8','fmb_$i_3')
& collinear('fmb_$i_1','fmb_$i_8','fmb_$i_4')
& collinear('fmb_$i_1','fmb_$i_8','fmb_$i_5')
& collinear('fmb_$i_1','fmb_$i_8','fmb_$i_6')
& collinear('fmb_$i_1','fmb_$i_8','fmb_$i_7')
& collinear('fmb_$i_1','fmb_$i_8','fmb_$i_8')
& collinear('fmb_$i_2','fmb_$i_1','fmb_$i_1')
& collinear('fmb_$i_2','fmb_$i_1','fmb_$i_2')
& collinear('fmb_$i_2','fmb_$i_1','fmb_$i_3')
& collinear('fmb_$i_2','fmb_$i_1','fmb_$i_4')
& collinear('fmb_$i_2','fmb_$i_1','fmb_$i_5')
& collinear('fmb_$i_2','fmb_$i_1','fmb_$i_6')
& collinear('fmb_$i_2','fmb_$i_1','fmb_$i_7')
& collinear('fmb_$i_2','fmb_$i_1','fmb_$i_8')
& collinear('fmb_$i_2','fmb_$i_2','fmb_$i_1')
& collinear('fmb_$i_2','fmb_$i_2','fmb_$i_2')
& collinear('fmb_$i_2','fmb_$i_2','fmb_$i_3')
& collinear('fmb_$i_2','fmb_$i_2','fmb_$i_4')
& collinear('fmb_$i_2','fmb_$i_2','fmb_$i_5')
& collinear('fmb_$i_2','fmb_$i_2','fmb_$i_6')
& collinear('fmb_$i_2','fmb_$i_2','fmb_$i_7')
& collinear('fmb_$i_2','fmb_$i_2','fmb_$i_8')
& collinear('fmb_$i_2','fmb_$i_3','fmb_$i_1')
& collinear('fmb_$i_2','fmb_$i_3','fmb_$i_2')
& collinear('fmb_$i_2','fmb_$i_3','fmb_$i_3')
& collinear('fmb_$i_2','fmb_$i_3','fmb_$i_4')
& collinear('fmb_$i_2','fmb_$i_3','fmb_$i_5')
& ~ collinear('fmb_$i_2','fmb_$i_3','fmb_$i_6')
& ~ collinear('fmb_$i_2','fmb_$i_3','fmb_$i_7')
& collinear('fmb_$i_2','fmb_$i_3','fmb_$i_8')
& collinear('fmb_$i_2','fmb_$i_4','fmb_$i_1')
& collinear('fmb_$i_2','fmb_$i_4','fmb_$i_2')
& collinear('fmb_$i_2','fmb_$i_4','fmb_$i_3')
& collinear('fmb_$i_2','fmb_$i_4','fmb_$i_4')
& collinear('fmb_$i_2','fmb_$i_4','fmb_$i_5')
& collinear('fmb_$i_2','fmb_$i_4','fmb_$i_6')
& collinear('fmb_$i_2','fmb_$i_4','fmb_$i_7')
& collinear('fmb_$i_2','fmb_$i_4','fmb_$i_8')
& collinear('fmb_$i_2','fmb_$i_5','fmb_$i_1')
& collinear('fmb_$i_2','fmb_$i_5','fmb_$i_2')
& collinear('fmb_$i_2','fmb_$i_5','fmb_$i_3')
& collinear('fmb_$i_2','fmb_$i_5','fmb_$i_4')
& collinear('fmb_$i_2','fmb_$i_5','fmb_$i_5')
& collinear('fmb_$i_2','fmb_$i_5','fmb_$i_6')
& collinear('fmb_$i_2','fmb_$i_5','fmb_$i_7')
& collinear('fmb_$i_2','fmb_$i_5','fmb_$i_8')
& collinear('fmb_$i_2','fmb_$i_6','fmb_$i_1')
& collinear('fmb_$i_2','fmb_$i_6','fmb_$i_2')
& ~ collinear('fmb_$i_2','fmb_$i_6','fmb_$i_3')
& collinear('fmb_$i_2','fmb_$i_6','fmb_$i_4')
& collinear('fmb_$i_2','fmb_$i_6','fmb_$i_5')
& collinear('fmb_$i_2','fmb_$i_6','fmb_$i_6')
& collinear('fmb_$i_2','fmb_$i_6','fmb_$i_7')
& collinear('fmb_$i_2','fmb_$i_6','fmb_$i_8')
& collinear('fmb_$i_2','fmb_$i_7','fmb_$i_1')
& collinear('fmb_$i_2','fmb_$i_7','fmb_$i_2')
& ~ collinear('fmb_$i_2','fmb_$i_7','fmb_$i_3')
& collinear('fmb_$i_2','fmb_$i_7','fmb_$i_4')
& collinear('fmb_$i_2','fmb_$i_7','fmb_$i_5')
& collinear('fmb_$i_2','fmb_$i_7','fmb_$i_6')
& collinear('fmb_$i_2','fmb_$i_7','fmb_$i_7')
& collinear('fmb_$i_2','fmb_$i_7','fmb_$i_8')
& collinear('fmb_$i_2','fmb_$i_8','fmb_$i_1')
& collinear('fmb_$i_2','fmb_$i_8','fmb_$i_2')
& collinear('fmb_$i_2','fmb_$i_8','fmb_$i_3')
& collinear('fmb_$i_2','fmb_$i_8','fmb_$i_4')
& collinear('fmb_$i_2','fmb_$i_8','fmb_$i_5')
& collinear('fmb_$i_2','fmb_$i_8','fmb_$i_6')
& collinear('fmb_$i_2','fmb_$i_8','fmb_$i_7')
& collinear('fmb_$i_2','fmb_$i_8','fmb_$i_8')
& collinear('fmb_$i_3','fmb_$i_1','fmb_$i_1')
& collinear('fmb_$i_3','fmb_$i_1','fmb_$i_2')
& collinear('fmb_$i_3','fmb_$i_1','fmb_$i_3')
& collinear('fmb_$i_3','fmb_$i_1','fmb_$i_4')
& collinear('fmb_$i_3','fmb_$i_1','fmb_$i_5')
& collinear('fmb_$i_3','fmb_$i_1','fmb_$i_6')
& collinear('fmb_$i_3','fmb_$i_1','fmb_$i_7')
& collinear('fmb_$i_3','fmb_$i_1','fmb_$i_8')
& collinear('fmb_$i_3','fmb_$i_2','fmb_$i_1')
& collinear('fmb_$i_3','fmb_$i_2','fmb_$i_2')
& collinear('fmb_$i_3','fmb_$i_2','fmb_$i_3')
& collinear('fmb_$i_3','fmb_$i_2','fmb_$i_4')
& collinear('fmb_$i_3','fmb_$i_2','fmb_$i_5')
& ~ collinear('fmb_$i_3','fmb_$i_2','fmb_$i_6')
& ~ collinear('fmb_$i_3','fmb_$i_2','fmb_$i_7')
& collinear('fmb_$i_3','fmb_$i_2','fmb_$i_8')
& collinear('fmb_$i_3','fmb_$i_3','fmb_$i_1')
& collinear('fmb_$i_3','fmb_$i_3','fmb_$i_2')
& collinear('fmb_$i_3','fmb_$i_3','fmb_$i_3')
& collinear('fmb_$i_3','fmb_$i_3','fmb_$i_4')
& collinear('fmb_$i_3','fmb_$i_3','fmb_$i_5')
& collinear('fmb_$i_3','fmb_$i_3','fmb_$i_6')
& collinear('fmb_$i_3','fmb_$i_3','fmb_$i_7')
& collinear('fmb_$i_3','fmb_$i_3','fmb_$i_8')
& collinear('fmb_$i_3','fmb_$i_4','fmb_$i_1')
& collinear('fmb_$i_3','fmb_$i_4','fmb_$i_2')
& collinear('fmb_$i_3','fmb_$i_4','fmb_$i_3')
& collinear('fmb_$i_3','fmb_$i_4','fmb_$i_4')
& collinear('fmb_$i_3','fmb_$i_4','fmb_$i_5')
& collinear('fmb_$i_3','fmb_$i_4','fmb_$i_6')
& collinear('fmb_$i_3','fmb_$i_4','fmb_$i_7')
& collinear('fmb_$i_3','fmb_$i_4','fmb_$i_8')
& collinear('fmb_$i_3','fmb_$i_5','fmb_$i_1')
& collinear('fmb_$i_3','fmb_$i_5','fmb_$i_2')
& collinear('fmb_$i_3','fmb_$i_5','fmb_$i_3')
& collinear('fmb_$i_3','fmb_$i_5','fmb_$i_4')
& collinear('fmb_$i_3','fmb_$i_5','fmb_$i_5')
& collinear('fmb_$i_3','fmb_$i_5','fmb_$i_6')
& collinear('fmb_$i_3','fmb_$i_5','fmb_$i_7')
& collinear('fmb_$i_3','fmb_$i_5','fmb_$i_8')
& collinear('fmb_$i_3','fmb_$i_6','fmb_$i_1')
& ~ collinear('fmb_$i_3','fmb_$i_6','fmb_$i_2')
& collinear('fmb_$i_3','fmb_$i_6','fmb_$i_3')
& collinear('fmb_$i_3','fmb_$i_6','fmb_$i_4')
& collinear('fmb_$i_3','fmb_$i_6','fmb_$i_5')
& collinear('fmb_$i_3','fmb_$i_6','fmb_$i_6')
& ~ collinear('fmb_$i_3','fmb_$i_6','fmb_$i_7')
& collinear('fmb_$i_3','fmb_$i_6','fmb_$i_8')
& collinear('fmb_$i_3','fmb_$i_7','fmb_$i_1')
& ~ collinear('fmb_$i_3','fmb_$i_7','fmb_$i_2')
& collinear('fmb_$i_3','fmb_$i_7','fmb_$i_3')
& collinear('fmb_$i_3','fmb_$i_7','fmb_$i_4')
& collinear('fmb_$i_3','fmb_$i_7','fmb_$i_5')
& ~ collinear('fmb_$i_3','fmb_$i_7','fmb_$i_6')
& collinear('fmb_$i_3','fmb_$i_7','fmb_$i_7')
& collinear('fmb_$i_3','fmb_$i_7','fmb_$i_8')
& collinear('fmb_$i_3','fmb_$i_8','fmb_$i_1')
& collinear('fmb_$i_3','fmb_$i_8','fmb_$i_2')
& collinear('fmb_$i_3','fmb_$i_8','fmb_$i_3')
& collinear('fmb_$i_3','fmb_$i_8','fmb_$i_4')
& collinear('fmb_$i_3','fmb_$i_8','fmb_$i_5')
& collinear('fmb_$i_3','fmb_$i_8','fmb_$i_6')
& collinear('fmb_$i_3','fmb_$i_8','fmb_$i_7')
& collinear('fmb_$i_3','fmb_$i_8','fmb_$i_8')
& collinear('fmb_$i_4','fmb_$i_1','fmb_$i_1')
& collinear('fmb_$i_4','fmb_$i_1','fmb_$i_2')
& collinear('fmb_$i_4','fmb_$i_1','fmb_$i_3')
& collinear('fmb_$i_4','fmb_$i_1','fmb_$i_4')
& collinear('fmb_$i_4','fmb_$i_1','fmb_$i_5')
& collinear('fmb_$i_4','fmb_$i_1','fmb_$i_6')
& collinear('fmb_$i_4','fmb_$i_1','fmb_$i_7')
& collinear('fmb_$i_4','fmb_$i_1','fmb_$i_8')
& collinear('fmb_$i_4','fmb_$i_2','fmb_$i_1')
& collinear('fmb_$i_4','fmb_$i_2','fmb_$i_2')
& collinear('fmb_$i_4','fmb_$i_2','fmb_$i_3')
& collinear('fmb_$i_4','fmb_$i_2','fmb_$i_4')
& collinear('fmb_$i_4','fmb_$i_2','fmb_$i_5')
& collinear('fmb_$i_4','fmb_$i_2','fmb_$i_6')
& collinear('fmb_$i_4','fmb_$i_2','fmb_$i_7')
& collinear('fmb_$i_4','fmb_$i_2','fmb_$i_8')
& collinear('fmb_$i_4','fmb_$i_3','fmb_$i_1')
& collinear('fmb_$i_4','fmb_$i_3','fmb_$i_2')
& collinear('fmb_$i_4','fmb_$i_3','fmb_$i_3')
& collinear('fmb_$i_4','fmb_$i_3','fmb_$i_4')
& collinear('fmb_$i_4','fmb_$i_3','fmb_$i_5')
& collinear('fmb_$i_4','fmb_$i_3','fmb_$i_6')
& collinear('fmb_$i_4','fmb_$i_3','fmb_$i_7')
& collinear('fmb_$i_4','fmb_$i_3','fmb_$i_8')
& collinear('fmb_$i_4','fmb_$i_4','fmb_$i_1')
& collinear('fmb_$i_4','fmb_$i_4','fmb_$i_2')
& collinear('fmb_$i_4','fmb_$i_4','fmb_$i_3')
& collinear('fmb_$i_4','fmb_$i_4','fmb_$i_4')
& collinear('fmb_$i_4','fmb_$i_4','fmb_$i_5')
& collinear('fmb_$i_4','fmb_$i_4','fmb_$i_6')
& collinear('fmb_$i_4','fmb_$i_4','fmb_$i_7')
& collinear('fmb_$i_4','fmb_$i_4','fmb_$i_8')
& collinear('fmb_$i_4','fmb_$i_5','fmb_$i_1')
& collinear('fmb_$i_4','fmb_$i_5','fmb_$i_2')
& collinear('fmb_$i_4','fmb_$i_5','fmb_$i_3')
& collinear('fmb_$i_4','fmb_$i_5','fmb_$i_4')
& collinear('fmb_$i_4','fmb_$i_5','fmb_$i_5')
& collinear('fmb_$i_4','fmb_$i_5','fmb_$i_6')
& collinear('fmb_$i_4','fmb_$i_5','fmb_$i_7')
& collinear('fmb_$i_4','fmb_$i_5','fmb_$i_8')
& collinear('fmb_$i_4','fmb_$i_6','fmb_$i_1')
& collinear('fmb_$i_4','fmb_$i_6','fmb_$i_2')
& collinear('fmb_$i_4','fmb_$i_6','fmb_$i_3')
& collinear('fmb_$i_4','fmb_$i_6','fmb_$i_4')
& collinear('fmb_$i_4','fmb_$i_6','fmb_$i_5')
& collinear('fmb_$i_4','fmb_$i_6','fmb_$i_6')
& collinear('fmb_$i_4','fmb_$i_6','fmb_$i_7')
& collinear('fmb_$i_4','fmb_$i_6','fmb_$i_8')
& collinear('fmb_$i_4','fmb_$i_7','fmb_$i_1')
& collinear('fmb_$i_4','fmb_$i_7','fmb_$i_2')
& collinear('fmb_$i_4','fmb_$i_7','fmb_$i_3')
& collinear('fmb_$i_4','fmb_$i_7','fmb_$i_4')
& collinear('fmb_$i_4','fmb_$i_7','fmb_$i_5')
& collinear('fmb_$i_4','fmb_$i_7','fmb_$i_6')
& collinear('fmb_$i_4','fmb_$i_7','fmb_$i_7')
& collinear('fmb_$i_4','fmb_$i_7','fmb_$i_8')
& collinear('fmb_$i_4','fmb_$i_8','fmb_$i_1')
& collinear('fmb_$i_4','fmb_$i_8','fmb_$i_2')
& collinear('fmb_$i_4','fmb_$i_8','fmb_$i_3')
& collinear('fmb_$i_4','fmb_$i_8','fmb_$i_4')
& collinear('fmb_$i_4','fmb_$i_8','fmb_$i_5')
& collinear('fmb_$i_4','fmb_$i_8','fmb_$i_6')
& collinear('fmb_$i_4','fmb_$i_8','fmb_$i_7')
& collinear('fmb_$i_4','fmb_$i_8','fmb_$i_8')
& collinear('fmb_$i_5','fmb_$i_1','fmb_$i_1')
& collinear('fmb_$i_5','fmb_$i_1','fmb_$i_2')
& collinear('fmb_$i_5','fmb_$i_1','fmb_$i_3')
& collinear('fmb_$i_5','fmb_$i_1','fmb_$i_4')
& collinear('fmb_$i_5','fmb_$i_1','fmb_$i_5')
& collinear('fmb_$i_5','fmb_$i_1','fmb_$i_6')
& collinear('fmb_$i_5','fmb_$i_1','fmb_$i_7')
& collinear('fmb_$i_5','fmb_$i_1','fmb_$i_8')
& collinear('fmb_$i_5','fmb_$i_2','fmb_$i_1')
& collinear('fmb_$i_5','fmb_$i_2','fmb_$i_2')
& collinear('fmb_$i_5','fmb_$i_2','fmb_$i_3')
& collinear('fmb_$i_5','fmb_$i_2','fmb_$i_4')
& collinear('fmb_$i_5','fmb_$i_2','fmb_$i_5')
& collinear('fmb_$i_5','fmb_$i_2','fmb_$i_6')
& collinear('fmb_$i_5','fmb_$i_2','fmb_$i_7')
& collinear('fmb_$i_5','fmb_$i_2','fmb_$i_8')
& collinear('fmb_$i_5','fmb_$i_3','fmb_$i_1')
& collinear('fmb_$i_5','fmb_$i_3','fmb_$i_2')
& collinear('fmb_$i_5','fmb_$i_3','fmb_$i_3')
& collinear('fmb_$i_5','fmb_$i_3','fmb_$i_4')
& collinear('fmb_$i_5','fmb_$i_3','fmb_$i_5')
& collinear('fmb_$i_5','fmb_$i_3','fmb_$i_6')
& collinear('fmb_$i_5','fmb_$i_3','fmb_$i_7')
& collinear('fmb_$i_5','fmb_$i_3','fmb_$i_8')
& collinear('fmb_$i_5','fmb_$i_4','fmb_$i_1')
& collinear('fmb_$i_5','fmb_$i_4','fmb_$i_2')
& collinear('fmb_$i_5','fmb_$i_4','fmb_$i_3')
& collinear('fmb_$i_5','fmb_$i_4','fmb_$i_4')
& collinear('fmb_$i_5','fmb_$i_4','fmb_$i_5')
& collinear('fmb_$i_5','fmb_$i_4','fmb_$i_6')
& collinear('fmb_$i_5','fmb_$i_4','fmb_$i_7')
& collinear('fmb_$i_5','fmb_$i_4','fmb_$i_8')
& collinear('fmb_$i_5','fmb_$i_5','fmb_$i_1')
& collinear('fmb_$i_5','fmb_$i_5','fmb_$i_2')
& collinear('fmb_$i_5','fmb_$i_5','fmb_$i_3')
& collinear('fmb_$i_5','fmb_$i_5','fmb_$i_4')
& collinear('fmb_$i_5','fmb_$i_5','fmb_$i_5')
& collinear('fmb_$i_5','fmb_$i_5','fmb_$i_6')
& collinear('fmb_$i_5','fmb_$i_5','fmb_$i_7')
& collinear('fmb_$i_5','fmb_$i_5','fmb_$i_8')
& collinear('fmb_$i_5','fmb_$i_6','fmb_$i_1')
& collinear('fmb_$i_5','fmb_$i_6','fmb_$i_2')
& collinear('fmb_$i_5','fmb_$i_6','fmb_$i_3')
& collinear('fmb_$i_5','fmb_$i_6','fmb_$i_4')
& collinear('fmb_$i_5','fmb_$i_6','fmb_$i_5')
& collinear('fmb_$i_5','fmb_$i_6','fmb_$i_6')
& collinear('fmb_$i_5','fmb_$i_6','fmb_$i_7')
& collinear('fmb_$i_5','fmb_$i_6','fmb_$i_8')
& collinear('fmb_$i_5','fmb_$i_7','fmb_$i_1')
& collinear('fmb_$i_5','fmb_$i_7','fmb_$i_2')
& collinear('fmb_$i_5','fmb_$i_7','fmb_$i_3')
& collinear('fmb_$i_5','fmb_$i_7','fmb_$i_4')
& collinear('fmb_$i_5','fmb_$i_7','fmb_$i_5')
& collinear('fmb_$i_5','fmb_$i_7','fmb_$i_6')
& collinear('fmb_$i_5','fmb_$i_7','fmb_$i_7')
& collinear('fmb_$i_5','fmb_$i_7','fmb_$i_8')
& collinear('fmb_$i_5','fmb_$i_8','fmb_$i_1')
& collinear('fmb_$i_5','fmb_$i_8','fmb_$i_2')
& collinear('fmb_$i_5','fmb_$i_8','fmb_$i_3')
& collinear('fmb_$i_5','fmb_$i_8','fmb_$i_4')
& collinear('fmb_$i_5','fmb_$i_8','fmb_$i_5')
& collinear('fmb_$i_5','fmb_$i_8','fmb_$i_6')
& collinear('fmb_$i_5','fmb_$i_8','fmb_$i_7')
& collinear('fmb_$i_5','fmb_$i_8','fmb_$i_8')
& collinear('fmb_$i_6','fmb_$i_1','fmb_$i_1')
& collinear('fmb_$i_6','fmb_$i_1','fmb_$i_2')
& collinear('fmb_$i_6','fmb_$i_1','fmb_$i_3')
& collinear('fmb_$i_6','fmb_$i_1','fmb_$i_4')
& collinear('fmb_$i_6','fmb_$i_1','fmb_$i_5')
& collinear('fmb_$i_6','fmb_$i_1','fmb_$i_6')
& collinear('fmb_$i_6','fmb_$i_1','fmb_$i_7')
& collinear('fmb_$i_6','fmb_$i_1','fmb_$i_8')
& collinear('fmb_$i_6','fmb_$i_2','fmb_$i_1')
& collinear('fmb_$i_6','fmb_$i_2','fmb_$i_2')
& ~ collinear('fmb_$i_6','fmb_$i_2','fmb_$i_3')
& collinear('fmb_$i_6','fmb_$i_2','fmb_$i_4')
& collinear('fmb_$i_6','fmb_$i_2','fmb_$i_5')
& collinear('fmb_$i_6','fmb_$i_2','fmb_$i_6')
& collinear('fmb_$i_6','fmb_$i_2','fmb_$i_7')
& collinear('fmb_$i_6','fmb_$i_2','fmb_$i_8')
& collinear('fmb_$i_6','fmb_$i_3','fmb_$i_1')
& ~ collinear('fmb_$i_6','fmb_$i_3','fmb_$i_2')
& collinear('fmb_$i_6','fmb_$i_3','fmb_$i_3')
& collinear('fmb_$i_6','fmb_$i_3','fmb_$i_4')
& collinear('fmb_$i_6','fmb_$i_3','fmb_$i_5')
& collinear('fmb_$i_6','fmb_$i_3','fmb_$i_6')
& ~ collinear('fmb_$i_6','fmb_$i_3','fmb_$i_7')
& collinear('fmb_$i_6','fmb_$i_3','fmb_$i_8')
& collinear('fmb_$i_6','fmb_$i_4','fmb_$i_1')
& collinear('fmb_$i_6','fmb_$i_4','fmb_$i_2')
& collinear('fmb_$i_6','fmb_$i_4','fmb_$i_3')
& collinear('fmb_$i_6','fmb_$i_4','fmb_$i_4')
& collinear('fmb_$i_6','fmb_$i_4','fmb_$i_5')
& collinear('fmb_$i_6','fmb_$i_4','fmb_$i_6')
& collinear('fmb_$i_6','fmb_$i_4','fmb_$i_7')
& collinear('fmb_$i_6','fmb_$i_4','fmb_$i_8')
& collinear('fmb_$i_6','fmb_$i_5','fmb_$i_1')
& collinear('fmb_$i_6','fmb_$i_5','fmb_$i_2')
& collinear('fmb_$i_6','fmb_$i_5','fmb_$i_3')
& collinear('fmb_$i_6','fmb_$i_5','fmb_$i_4')
& collinear('fmb_$i_6','fmb_$i_5','fmb_$i_5')
& collinear('fmb_$i_6','fmb_$i_5','fmb_$i_6')
& collinear('fmb_$i_6','fmb_$i_5','fmb_$i_7')
& collinear('fmb_$i_6','fmb_$i_5','fmb_$i_8')
& collinear('fmb_$i_6','fmb_$i_6','fmb_$i_1')
& collinear('fmb_$i_6','fmb_$i_6','fmb_$i_2')
& collinear('fmb_$i_6','fmb_$i_6','fmb_$i_3')
& collinear('fmb_$i_6','fmb_$i_6','fmb_$i_4')
& collinear('fmb_$i_6','fmb_$i_6','fmb_$i_5')
& collinear('fmb_$i_6','fmb_$i_6','fmb_$i_6')
& collinear('fmb_$i_6','fmb_$i_6','fmb_$i_7')
& collinear('fmb_$i_6','fmb_$i_6','fmb_$i_8')
& collinear('fmb_$i_6','fmb_$i_7','fmb_$i_1')
& collinear('fmb_$i_6','fmb_$i_7','fmb_$i_2')
& ~ collinear('fmb_$i_6','fmb_$i_7','fmb_$i_3')
& collinear('fmb_$i_6','fmb_$i_7','fmb_$i_4')
& collinear('fmb_$i_6','fmb_$i_7','fmb_$i_5')
& collinear('fmb_$i_6','fmb_$i_7','fmb_$i_6')
& collinear('fmb_$i_6','fmb_$i_7','fmb_$i_7')
& collinear('fmb_$i_6','fmb_$i_7','fmb_$i_8')
& collinear('fmb_$i_6','fmb_$i_8','fmb_$i_1')
& collinear('fmb_$i_6','fmb_$i_8','fmb_$i_2')
& collinear('fmb_$i_6','fmb_$i_8','fmb_$i_3')
& collinear('fmb_$i_6','fmb_$i_8','fmb_$i_4')
& collinear('fmb_$i_6','fmb_$i_8','fmb_$i_5')
& collinear('fmb_$i_6','fmb_$i_8','fmb_$i_6')
& collinear('fmb_$i_6','fmb_$i_8','fmb_$i_7')
& collinear('fmb_$i_6','fmb_$i_8','fmb_$i_8')
& collinear('fmb_$i_7','fmb_$i_1','fmb_$i_1')
& collinear('fmb_$i_7','fmb_$i_1','fmb_$i_2')
& collinear('fmb_$i_7','fmb_$i_1','fmb_$i_3')
& collinear('fmb_$i_7','fmb_$i_1','fmb_$i_4')
& collinear('fmb_$i_7','fmb_$i_1','fmb_$i_5')
& collinear('fmb_$i_7','fmb_$i_1','fmb_$i_6')
& collinear('fmb_$i_7','fmb_$i_1','fmb_$i_7')
& collinear('fmb_$i_7','fmb_$i_1','fmb_$i_8')
& collinear('fmb_$i_7','fmb_$i_2','fmb_$i_1')
& collinear('fmb_$i_7','fmb_$i_2','fmb_$i_2')
& ~ collinear('fmb_$i_7','fmb_$i_2','fmb_$i_3')
& collinear('fmb_$i_7','fmb_$i_2','fmb_$i_4')
& collinear('fmb_$i_7','fmb_$i_2','fmb_$i_5')
& collinear('fmb_$i_7','fmb_$i_2','fmb_$i_6')
& collinear('fmb_$i_7','fmb_$i_2','fmb_$i_7')
& collinear('fmb_$i_7','fmb_$i_2','fmb_$i_8')
& collinear('fmb_$i_7','fmb_$i_3','fmb_$i_1')
& ~ collinear('fmb_$i_7','fmb_$i_3','fmb_$i_2')
& collinear('fmb_$i_7','fmb_$i_3','fmb_$i_3')
& collinear('fmb_$i_7','fmb_$i_3','fmb_$i_4')
& collinear('fmb_$i_7','fmb_$i_3','fmb_$i_5')
& ~ collinear('fmb_$i_7','fmb_$i_3','fmb_$i_6')
& collinear('fmb_$i_7','fmb_$i_3','fmb_$i_7')
& collinear('fmb_$i_7','fmb_$i_3','fmb_$i_8')
& collinear('fmb_$i_7','fmb_$i_4','fmb_$i_1')
& collinear('fmb_$i_7','fmb_$i_4','fmb_$i_2')
& collinear('fmb_$i_7','fmb_$i_4','fmb_$i_3')
& collinear('fmb_$i_7','fmb_$i_4','fmb_$i_4')
& collinear('fmb_$i_7','fmb_$i_4','fmb_$i_5')
& collinear('fmb_$i_7','fmb_$i_4','fmb_$i_6')
& collinear('fmb_$i_7','fmb_$i_4','fmb_$i_7')
& collinear('fmb_$i_7','fmb_$i_4','fmb_$i_8')
& collinear('fmb_$i_7','fmb_$i_5','fmb_$i_1')
& collinear('fmb_$i_7','fmb_$i_5','fmb_$i_2')
& collinear('fmb_$i_7','fmb_$i_5','fmb_$i_3')
& collinear('fmb_$i_7','fmb_$i_5','fmb_$i_4')
& collinear('fmb_$i_7','fmb_$i_5','fmb_$i_5')
& collinear('fmb_$i_7','fmb_$i_5','fmb_$i_6')
& collinear('fmb_$i_7','fmb_$i_5','fmb_$i_7')
& collinear('fmb_$i_7','fmb_$i_5','fmb_$i_8')
& collinear('fmb_$i_7','fmb_$i_6','fmb_$i_1')
& collinear('fmb_$i_7','fmb_$i_6','fmb_$i_2')
& ~ collinear('fmb_$i_7','fmb_$i_6','fmb_$i_3')
& collinear('fmb_$i_7','fmb_$i_6','fmb_$i_4')
& collinear('fmb_$i_7','fmb_$i_6','fmb_$i_5')
& collinear('fmb_$i_7','fmb_$i_6','fmb_$i_6')
& collinear('fmb_$i_7','fmb_$i_6','fmb_$i_7')
& collinear('fmb_$i_7','fmb_$i_6','fmb_$i_8')
& collinear('fmb_$i_7','fmb_$i_7','fmb_$i_1')
& collinear('fmb_$i_7','fmb_$i_7','fmb_$i_2')
& collinear('fmb_$i_7','fmb_$i_7','fmb_$i_3')
& collinear('fmb_$i_7','fmb_$i_7','fmb_$i_4')
& collinear('fmb_$i_7','fmb_$i_7','fmb_$i_5')
& collinear('fmb_$i_7','fmb_$i_7','fmb_$i_6')
& collinear('fmb_$i_7','fmb_$i_7','fmb_$i_7')
& collinear('fmb_$i_7','fmb_$i_7','fmb_$i_8')
& collinear('fmb_$i_7','fmb_$i_8','fmb_$i_1')
& collinear('fmb_$i_7','fmb_$i_8','fmb_$i_2')
& collinear('fmb_$i_7','fmb_$i_8','fmb_$i_3')
& collinear('fmb_$i_7','fmb_$i_8','fmb_$i_4')
& collinear('fmb_$i_7','fmb_$i_8','fmb_$i_5')
& collinear('fmb_$i_7','fmb_$i_8','fmb_$i_6')
& collinear('fmb_$i_7','fmb_$i_8','fmb_$i_7')
& collinear('fmb_$i_7','fmb_$i_8','fmb_$i_8')
& collinear('fmb_$i_8','fmb_$i_1','fmb_$i_1')
& collinear('fmb_$i_8','fmb_$i_1','fmb_$i_2')
& collinear('fmb_$i_8','fmb_$i_1','fmb_$i_3')
& collinear('fmb_$i_8','fmb_$i_1','fmb_$i_4')
& collinear('fmb_$i_8','fmb_$i_1','fmb_$i_5')
& collinear('fmb_$i_8','fmb_$i_1','fmb_$i_6')
& collinear('fmb_$i_8','fmb_$i_1','fmb_$i_7')
& collinear('fmb_$i_8','fmb_$i_1','fmb_$i_8')
& collinear('fmb_$i_8','fmb_$i_2','fmb_$i_1')
& collinear('fmb_$i_8','fmb_$i_2','fmb_$i_2')
& collinear('fmb_$i_8','fmb_$i_2','fmb_$i_3')
& collinear('fmb_$i_8','fmb_$i_2','fmb_$i_4')
& collinear('fmb_$i_8','fmb_$i_2','fmb_$i_5')
& collinear('fmb_$i_8','fmb_$i_2','fmb_$i_6')
& collinear('fmb_$i_8','fmb_$i_2','fmb_$i_7')
& collinear('fmb_$i_8','fmb_$i_2','fmb_$i_8')
& collinear('fmb_$i_8','fmb_$i_3','fmb_$i_1')
& collinear('fmb_$i_8','fmb_$i_3','fmb_$i_2')
& collinear('fmb_$i_8','fmb_$i_3','fmb_$i_3')
& collinear('fmb_$i_8','fmb_$i_3','fmb_$i_4')
& collinear('fmb_$i_8','fmb_$i_3','fmb_$i_5')
& collinear('fmb_$i_8','fmb_$i_3','fmb_$i_6')
& collinear('fmb_$i_8','fmb_$i_3','fmb_$i_7')
& collinear('fmb_$i_8','fmb_$i_3','fmb_$i_8')
& collinear('fmb_$i_8','fmb_$i_4','fmb_$i_1')
& collinear('fmb_$i_8','fmb_$i_4','fmb_$i_2')
& collinear('fmb_$i_8','fmb_$i_4','fmb_$i_3')
& collinear('fmb_$i_8','fmb_$i_4','fmb_$i_4')
& collinear('fmb_$i_8','fmb_$i_4','fmb_$i_5')
& collinear('fmb_$i_8','fmb_$i_4','fmb_$i_6')
& collinear('fmb_$i_8','fmb_$i_4','fmb_$i_7')
& collinear('fmb_$i_8','fmb_$i_4','fmb_$i_8')
& collinear('fmb_$i_8','fmb_$i_5','fmb_$i_1')
& collinear('fmb_$i_8','fmb_$i_5','fmb_$i_2')
& collinear('fmb_$i_8','fmb_$i_5','fmb_$i_3')
& collinear('fmb_$i_8','fmb_$i_5','fmb_$i_4')
& collinear('fmb_$i_8','fmb_$i_5','fmb_$i_5')
& collinear('fmb_$i_8','fmb_$i_5','fmb_$i_6')
& collinear('fmb_$i_8','fmb_$i_5','fmb_$i_7')
& collinear('fmb_$i_8','fmb_$i_5','fmb_$i_8')
& collinear('fmb_$i_8','fmb_$i_6','fmb_$i_1')
& collinear('fmb_$i_8','fmb_$i_6','fmb_$i_2')
& collinear('fmb_$i_8','fmb_$i_6','fmb_$i_3')
& collinear('fmb_$i_8','fmb_$i_6','fmb_$i_4')
& collinear('fmb_$i_8','fmb_$i_6','fmb_$i_5')
& collinear('fmb_$i_8','fmb_$i_6','fmb_$i_6')
& collinear('fmb_$i_8','fmb_$i_6','fmb_$i_7')
& collinear('fmb_$i_8','fmb_$i_6','fmb_$i_8')
& collinear('fmb_$i_8','fmb_$i_7','fmb_$i_1')
& collinear('fmb_$i_8','fmb_$i_7','fmb_$i_2')
& collinear('fmb_$i_8','fmb_$i_7','fmb_$i_3')
& collinear('fmb_$i_8','fmb_$i_7','fmb_$i_4')
& collinear('fmb_$i_8','fmb_$i_7','fmb_$i_5')
& collinear('fmb_$i_8','fmb_$i_7','fmb_$i_6')
& collinear('fmb_$i_8','fmb_$i_7','fmb_$i_7')
& collinear('fmb_$i_8','fmb_$i_7','fmb_$i_8')
& collinear('fmb_$i_8','fmb_$i_8','fmb_$i_1')
& collinear('fmb_$i_8','fmb_$i_8','fmb_$i_2')
& collinear('fmb_$i_8','fmb_$i_8','fmb_$i_3')
& collinear('fmb_$i_8','fmb_$i_8','fmb_$i_4')
& collinear('fmb_$i_8','fmb_$i_8','fmb_$i_5')
& collinear('fmb_$i_8','fmb_$i_8','fmb_$i_6')
& collinear('fmb_$i_8','fmb_$i_8','fmb_$i_7')
& collinear('fmb_$i_8','fmb_$i_8','fmb_$i_8') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO157-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n010.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 07:19:01 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.26/1.84 % (605800)Will run a generic schedule for satisfiability detection.
% 8.26/1.84 % (605805)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1182158272_2999 on theBenchmark for (2999ds/0Mi)
% 8.26/1.84 % TRYING [1]
% 8.26/1.84 % TRYING [2]
% 8.26/1.84 % TRYING [3]
% 8.26/1.84 % (605806)% WARNING: option uhcvi not known.
% 8.26/1.84 % TRYING [4]
% 8.26/1.84 % (605806)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=20648031:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.26/1.84 % (605807)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1636043970:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.26/1.84 % (605808)dis+10_1_sil=32000:sp=arity:random_seed=662221927:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.26/1.84 % (605809)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2454494636:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.26/1.84 % (605811)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1814161978:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.26/1.84 % (605810)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=946146548:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.26/1.84 % TRYING [5]
% 8.26/1.84 % (605808)Instruction limit reached!
% 8.26/1.84 % (605808)------------------------------
% 8.26/1.84 % (605808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.84 % (605808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.84 % (605808)CaDiCaL version: 2.1.3
% 8.26/1.84 % (605808)Termination reason: Instruction limit
% 8.26/1.84 % (605808)Termination phase: Saturation
% 8.26/1.84 % (605808)Time elapsed: 0.056 s
% 8.26/1.84 % (605808)Peak memory usage: 12 MB
% 8.26/1.84 % (605808)Instructions burned: 104 (million)
% 8.26/1.84 % (605809)Instruction limit reached!
% 8.26/1.84 % (605809)------------------------------
% 8.26/1.84 % (605809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.84 % (605809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.84 % (605809)CaDiCaL version: 2.1.3
% 8.26/1.84 % (605809)Termination reason: Instruction limit
% 8.26/1.84 % (605809)Termination phase: Saturation
% 8.26/1.84 % (605809)Time elapsed: 0.058 s
% 8.26/1.84 % (605809)Peak memory usage: 12 MB
% 8.26/1.84 % (605809)Instructions burned: 117 (million)
% 8.26/1.84 % (605810)Instruction limit reached!
% 8.26/1.84 % (605810)------------------------------
% 8.26/1.84 % (605810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.84 % (605810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.84 % (605810)CaDiCaL version: 2.1.3
% 8.26/1.84 % (605810)Termination reason: Instruction limit
% 8.26/1.84 % (605810)Termination phase: Saturation
% 8.26/1.84 % (605810)Time elapsed: 0.067 s
% 8.26/1.84 % (605810)Peak memory usage: 12 MB
% 8.26/1.84 % (605810)Instructions burned: 133 (million)
% 8.26/1.84 % (605819)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=719732385:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.26/1.84 % (605820)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1402401473:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 8.26/1.84 % TRYING [1]
% 8.26/1.84 % TRYING [2]
% 8.26/1.84 % TRYING [3]
% 8.26/1.84 % TRYING [4]
% 8.26/1.84 % (605821)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1495246474:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.26/1.84 % (605811)Instruction limit reached!
% 8.26/1.84 % (605811)------------------------------
% 8.26/1.84 % (605811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.84 % (605811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.84 % (605811)CaDiCaL version: 2.1.3
% 8.26/1.84 % (605811)Termination reason: Instruction limit
% 8.26/1.84 % (605811)Termination phase: Saturation
% 8.26/1.84 % (605811)Time elapsed: 0.093 s
% 8.26/1.84 % (605811)Peak memory usage: 14 MB
% 8.26/1.84 % (605811)Instructions burned: 160 (million)
% 8.26/1.84 % (605825)ott-21_1_sil=16000:fs=off:random_seed=197670631:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.26/1.84 % TRYING [5]
% 8.26/1.84 % (605820)Instruction limit reached!
% 8.26/1.84 % (605820)------------------------------
% 8.26/1.84 % (605820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.84 % (605820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.84 % (605820)CaDiCaL version: 2.1.3
% 8.26/1.84 % (605820)Termination reason: Instruction limit
% 8.26/1.84 % (605820)Termination phase: Saturation
% 8.26/1.84 % (605820)Time elapsed: 0.077 s
% 8.26/1.84 % (605820)Peak memory usage: 12 MB
% 8.26/1.84 % (605820)Instructions burned: 132 (million)
% 8.26/1.84 % (605827)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=112041348:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 8.26/1.84 % (605825)Instruction limit reached!
% 8.26/1.84 % (605825)------------------------------
% 8.26/1.84 % (605825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.84 % (605825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.84 % (605825)CaDiCaL version: 2.1.3
% 8.26/1.84 % (605825)Termination reason: Instruction limit
% 8.26/1.84 % (605825)Termination phase: Saturation
% 8.26/1.84 % (605825)Time elapsed: 0.096 s
% 8.26/1.84 % (605825)Peak memory usage: 12 MB
% 8.26/1.84 % (605825)Instructions burned: 181 (million)
% 8.26/1.84 % (605829)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1589286612:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.26/1.84 % TRYING [1]
% 8.26/1.84 % TRYING [2]
% 8.26/1.84 % TRYING [3]
% 8.26/1.84 % TRYING [4]
% 8.26/1.84 % TRYING [5]
% 8.26/1.84 % TRYING [6]
% 8.26/1.84 % (605819)Instruction limit reached!
% 8.26/1.84 % (605819)------------------------------
% 8.26/1.84 % (605819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.84 % (605819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.84 % (605819)CaDiCaL version: 2.1.3
% 8.26/1.84 % (605819)Termination reason: Instruction limit
% 8.26/1.84 % (605819)Termination phase: Finite model building SAT solving
% 8.26/1.84 % (605819)Time elapsed: 0.378 s
% 8.26/1.84 % (605819)Peak memory usage: 14 MB
% 8.26/1.84 % (605819)Instructions burned: 717 (million)
% 8.26/1.84 % (605827)Instruction limit reached!
% 8.26/1.84 % (605827)------------------------------
% 8.26/1.84 % (605827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.84 % (605827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.84 % (605827)CaDiCaL version: 2.1.3
% 8.26/1.84 % (605827)Termination reason: Instruction limit
% 8.26/1.84 % (605827)Termination phase: Saturation
% 8.26/1.84 % (605827)Time elapsed: 0.286 s
% 8.26/1.84 % (605827)Peak memory usage: 13 MB
% 8.26/1.84 % (605827)Instructions burned: 478 (million)
% 8.26/1.84 % (605831)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2994661321:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 8.26/1.84 % (605832)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=952177027:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 8.26/1.84 % TRYING [6]
% 8.26/1.84 % (605821)Instruction limit reached!
% 8.26/1.84 % (605821)------------------------------
% 8.26/1.84 % (605821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.84 % (605821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.84 % (605821)CaDiCaL version: 2.1.3
% 8.26/1.84 % (605821)Termination reason: Instruction limit
% 8.26/1.84 % (605821)Termination phase: Saturation
% 8.26/1.84 % (605821)Time elapsed: 0.400 s
% 8.26/1.84 % (605821)Peak memory usage: 15 MB
% 8.26/1.84 % (605821)Instructions burned: 685 (million)
% 8.26/1.84 % (605835)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2855239044:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 8.26/1.84 % TRYING [14]
% 8.26/1.84 % (605829)Instruction limit reached!
% 8.26/1.84 % (605829)------------------------------
% 8.26/1.84 % (605829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.84 % (605829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.84 % (605829)CaDiCaL version: 2.1.3
% 8.26/1.84 % (605829)Termination reason: Instruction limit
% 8.26/1.84 % (605829)Termination phase: Finite model building SAT solving
% 8.26/1.84 % (605829)Time elapsed: 0.383 s
% 8.26/1.84 % (605829)Peak memory usage: 16 MB
% 8.26/1.84 % (605829)Instructions burned: 866 (million)
% 8.26/1.84 % (605837)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2015539912:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 8.26/1.84 % (605832)Instruction limit reached!
% 8.26/1.84 % (605832)------------------------------
% 8.26/1.84 % (605832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.84 % (605832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.84 % (605832)CaDiCaL version: 2.1.3
% 8.26/1.84 % (605832)Termination reason: Instruction limit
% 8.26/1.84 % (605832)Termination phase: Finite model building constraint generation
% 8.26/1.84 % (605832)Time elapsed: 0.295 s
% 8.26/1.84 % (605832)Peak memory usage: 53 MB
% 8.26/1.84 % (605832)Instructions burned: 890 (million)
% 8.26/1.84 % (605839)fmb+10_1_sil=64000:random_seed=1693995737:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 8.26/1.84 % TRYING [1]
% 8.26/1.84 % TRYING [2]
% 8.26/1.84 % TRYING [3]
% 8.26/1.84 % TRYING [4]
% 8.26/1.84 % TRYING [5]
% 8.26/1.84 % (605835)Instruction limit reached!
% 8.26/1.84 % (605835)------------------------------
% 8.26/1.84 % (605835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.84 % (605835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.84 % (605835)CaDiCaL version: 2.1.3
% 8.26/1.84 % (605835)Termination reason: Instruction limit
% 8.26/1.84 % (605835)Termination phase: Saturation
% 8.26/1.84 % (605835)Time elapsed: 0.410 s
% 8.26/1.84 % (605835)Peak memory usage: 19 MB
% 8.26/1.84 % (605835)Instructions burned: 692 (million)
% 8.26/1.84 % (605841)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=792595491:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 8.26/1.84 % TRYING [20]
% 8.26/1.84 % TRYING [6]
% 8.26/1.84 % (605831)Instruction limit reached!
% 8.26/1.84 % (605831)------------------------------
% 8.26/1.84 % (605831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.84 % (605831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.84 % (605831)CaDiCaL version: 2.1.3
% 8.26/1.84 % (605831)Termination reason: Instruction limit
% 8.26/1.84 % (605831)Termination phase: Saturation
% 8.26/1.84 % (605831)Time elapsed: 0.615 s
% 8.26/1.84 % (605831)Peak memory usage: 19 MB
% 8.26/1.84 % (605831)Instructions burned: 1180 (million)
% 8.26/1.84 % (605837)Instruction limit reached!
% 8.26/1.84 % (605837)------------------------------
% 8.26/1.84 % (605837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.84 % (605837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.84 % (605837)CaDiCaL version: 2.1.3
% 8.26/1.84 % (605837)Termination reason: Instruction limit
% 8.26/1.84 % (605837)Termination phase: Saturation
% 8.26/1.84 % (605837)Time elapsed: 0.460 s
% 8.26/1.84 % (605837)Peak memory usage: 15 MB
% 8.26/1.84 % (605837)Instructions burned: 879 (million)
% 8.26/1.84 % (605843)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=611447335:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 8.26/1.84 % (605844)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1769733294:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 8.26/1.84 % TRYING [8]
% 8.26/1.84 % Finite Model Found!
% 8.26/1.84 % SZS status Satisfiable for theBenchmark
% 8.26/1.84 % (605843) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-605800-605843"...
% 8.26/1.84 % (605843)...printing done.
% 8.26/1.84 % SZS output start FiniteModel for theBenchmark
% See solution above
% 8.26/1.86 % (605843)------------------------------
% 8.26/1.86 % (605843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.86 % (605843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.86 % (605843)CaDiCaL version: 2.1.3
% 8.26/1.86 % (605843)Termination reason: Satisfiable
% 8.26/1.86 % (605843)Time elapsed: 0.264 s
% 8.26/1.86 % (605843)Peak memory usage: 39 MB
% 8.26/1.86 % (605843)Instructions burned: 647 (million)
% 8.26/1.86 % (605800)Success in time 1.426 s
% 8.26/1.86 % Vampire exiting
%------------------------------------------------------------------------------