%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO078-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 09:53:30 AM UTC 2026
% Result : Satisfiable 5.40s 1.13s
% Output : FiniteModel 5.40s
% 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_a_plane,type,
a_plane: $i ).
tff(a_plane_definition,axiom,
a_plane = 'fmb_$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_$i_7' )
& ( point_on_plane('fmb_$i_2') = 'fmb_$i_3' )
& ( point_on_plane('fmb_$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_$i_3' )
& ( point_not_on_plane('fmb_$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_$i_6' )
& ( common_point_on_planes('fmb_$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_$i_2' )
& ( common_point_on_planes('fmb_$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_$i_7' )
& ( common_point_on_planes('fmb_$i_1','fmb_$i_4','fmb_$i_7') = 'fmb_$i_6' )
& ( common_point_on_planes('fmb_$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_$i_7' )
& ( common_point_on_planes('fmb_$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_$i_2' )
& ( common_point_on_planes('fmb_$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_$i_6' )
& ( common_point_on_planes('fmb_$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_$i_2' )
& ( common_point_on_planes('fmb_$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_$i_7' )
& ( common_point_on_planes('fmb_$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_$i_3' )
& ( common_point_on_planes('fmb_$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_$i_3' )
& ( common_point_on_planes('fmb_$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_$i_3' )
& ( common_point_on_planes('fmb_$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_$i_7' )
& ( common_point_on_planes('fmb_$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_$i_3' )
& ( common_point_on_planes('fmb_$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_$i_7' )
& ( common_point_on_planes('fmb_$i_4','fmb_$i_1','fmb_$i_7') = 'fmb_$i_6' )
& ( common_point_on_planes('fmb_$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_$i_3' )
& ( common_point_on_planes('fmb_$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_$i_7' )
& ( common_point_on_planes('fmb_$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_$i_2' )
& ( common_point_on_planes('fmb_$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_$i_3' )
& ( common_point_on_planes('fmb_$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
% 0.00/0.01 % Problem : GEO078-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 06:52:33 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.33 Running first-order model finding
% 0.08/0.33 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
% 5.40/1.13 % (2019637)Will run a generic schedule for satisfiability detection.
% 5.40/1.13 % (2019643)% WARNING: option uhcvi not known.
% 5.40/1.13 % (2019642)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=586487450_2999 on theBenchmark for (2999ds/0Mi)
% 5.40/1.13 % (2019645)dis+10_1_sil=32000:sp=arity:random_seed=1426715634:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.40/1.13 % (2019644)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2273312296:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.40/1.13 % (2019646)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=338921603:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.40/1.13 % (2019643)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=326771790:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.40/1.13 % (2019647)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=991690340:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.40/1.13 % (2019648)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1436144759:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.40/1.13 % TRYING [1]
% 5.40/1.13 % TRYING [2]
% 5.40/1.13 % TRYING [3]
% 5.40/1.13 % TRYING [4]
% 5.40/1.13 % TRYING [5]
% 5.40/1.13 % (2019645)Instruction limit reached!
% 5.40/1.13 % (2019645)------------------------------
% 5.40/1.13 % (2019645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.13 % (2019645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.13 % (2019645)CaDiCaL version: 2.1.3
% 5.40/1.13 % (2019645)Termination reason: Instruction limit
% 5.40/1.13 % (2019645)Termination phase: Saturation
% 5.40/1.13 % (2019645)Time elapsed: 0.029 s
% 5.40/1.13 % (2019645)Peak memory usage: 11 MB
% 5.40/1.13 % (2019645)Instructions burned: 105 (million)
% 5.40/1.13 % (2019646)Instruction limit reached!
% 5.40/1.13 % (2019646)------------------------------
% 5.40/1.13 % (2019646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.13 % (2019646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.13 % (2019646)CaDiCaL version: 2.1.3
% 5.40/1.13 % (2019646)Termination reason: Instruction limit
% 5.40/1.13 % (2019646)Termination phase: Saturation
% 5.40/1.13 % (2019646)Time elapsed: 0.032 s
% 5.40/1.13 % (2019646)Peak memory usage: 12 MB
% 5.40/1.13 % (2019646)Instructions burned: 118 (million)
% 5.40/1.13 % (2019647)Instruction limit reached!
% 5.40/1.13 % (2019647)------------------------------
% 5.40/1.13 % (2019647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.13 % (2019647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.13 % (2019647)CaDiCaL version: 2.1.3
% 5.40/1.13 % (2019647)Termination reason: Instruction limit
% 5.40/1.13 % (2019647)Termination phase: Saturation
% 5.40/1.13 % (2019647)Time elapsed: 0.038 s
% 5.40/1.13 % (2019647)Peak memory usage: 12 MB
% 5.40/1.13 % (2019647)Instructions burned: 132 (million)
% 5.40/1.13 % (2019656)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4056782275:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.40/1.13 % TRYING [1]
% 5.40/1.13 % TRYING [2]
% 5.40/1.13 % TRYING [3]
% 5.40/1.13 % (2019657)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1344328541:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.40/1.13 % TRYING [4]
% 5.40/1.13 % (2019648)Instruction limit reached!
% 5.40/1.13 % (2019648)------------------------------
% 5.40/1.13 % (2019648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.13 % (2019648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.13 % (2019648)CaDiCaL version: 2.1.3
% 5.40/1.13 % (2019648)Termination reason: Instruction limit
% 5.40/1.13 % (2019648)Termination phase: Saturation
% 5.40/1.13 % (2019648)Time elapsed: 0.048 s
% 5.40/1.13 % (2019648)Peak memory usage: 13 MB
% 5.40/1.13 % (2019648)Instructions burned: 160 (million)
% 5.40/1.13 % (2019658)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=977980025:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 5.40/1.13 % (2019661)ott-21_1_sil=16000:fs=off:random_seed=1467704546:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 5.40/1.13 % TRYING [5]
% 5.40/1.13 % (2019657)Instruction limit reached!
% 5.40/1.13 % (2019657)------------------------------
% 5.40/1.13 % (2019657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.13 % (2019657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.13 % (2019657)CaDiCaL version: 2.1.3
% 5.40/1.13 % (2019657)Termination reason: Instruction limit
% 5.40/1.13 % (2019657)Termination phase: Saturation
% 5.40/1.13 % (2019657)Time elapsed: 0.043 s
% 5.40/1.13 % (2019657)Peak memory usage: 12 MB
% 5.40/1.13 % (2019657)Instructions burned: 135 (million)
% 5.40/1.13 % (2019664)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3561695543:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 5.40/1.13 % (2019661)Instruction limit reached!
% 5.40/1.13 % (2019661)------------------------------
% 5.40/1.13 % (2019661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.13 % (2019661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.13 % (2019661)CaDiCaL version: 2.1.3
% 5.40/1.13 % (2019661)Termination reason: Instruction limit
% 5.40/1.13 % (2019661)Termination phase: Saturation
% 5.40/1.13 % (2019661)Time elapsed: 0.053 s
% 5.40/1.13 % (2019661)Peak memory usage: 12 MB
% 5.40/1.13 % (2019661)Instructions burned: 183 (million)
% 5.40/1.13 % (2019666)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=418485173:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 5.40/1.13 % TRYING [1]
% 5.40/1.13 % TRYING [2]
% 5.40/1.13 % TRYING [3]
% 5.40/1.13 % TRYING [4]
% 5.40/1.13 % TRYING [5]
% 5.40/1.13 % (2019656)Instruction limit reached!
% 5.40/1.13 % (2019656)------------------------------
% 5.40/1.13 % (2019656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.13 % (2019656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.13 % (2019656)CaDiCaL version: 2.1.3
% 5.40/1.13 % (2019656)Termination reason: Instruction limit
% 5.40/1.13 % (2019656)Termination phase: Finite model building SAT solving
% 5.40/1.13 % (2019656)Time elapsed: 0.204 s
% 5.40/1.13 % (2019656)Peak memory usage: 15 MB
% 5.40/1.13 % (2019656)Instructions burned: 715 (million)
% 5.40/1.13 % (2019664)Instruction limit reached!
% 5.40/1.13 % (2019664)------------------------------
% 5.40/1.13 % (2019664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.13 % (2019664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.13 % (2019664)CaDiCaL version: 2.1.3
% 5.40/1.13 % (2019664)Termination reason: Instruction limit
% 5.40/1.13 % (2019664)Termination phase: Saturation
% 5.40/1.13 % (2019664)Time elapsed: 0.151 s
% 5.40/1.13 % (2019664)Peak memory usage: 14 MB
% 5.40/1.13 % (2019664)Instructions burned: 480 (million)
% 5.40/1.13 % (2019668)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=395027250:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 5.40/1.13 % (2019658)Instruction limit reached!
% 5.40/1.13 % (2019658)------------------------------
% 5.40/1.13 % (2019658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.13 % (2019658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.13 % (2019658)CaDiCaL version: 2.1.3
% 5.40/1.13 % (2019658)Termination reason: Instruction limit
% 5.40/1.13 % (2019658)Termination phase: Saturation
% 5.40/1.13 % (2019658)Time elapsed: 0.209 s
% 5.40/1.13 % (2019658)Peak memory usage: 17 MB
% 5.40/1.13 % (2019658)Instructions burned: 685 (million)
% 5.40/1.13 % (2019669)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=882635531:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 5.40/1.13 % (2019671)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=987868486:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 5.40/1.13 % TRYING [6]
% 5.40/1.13 % TRYING [14]
% 5.40/1.13 % TRYING [6]
% 5.40/1.13 % (2019666)Instruction limit reached!
% 5.40/1.13 % (2019666)------------------------------
% 5.40/1.13 % (2019666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.13 % (2019666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.13 % (2019666)CaDiCaL version: 2.1.3
% 5.40/1.13 % (2019666)Termination reason: Instruction limit
% 5.40/1.13 % (2019666)Termination phase: Finite model building SAT solving
% 5.40/1.13 % (2019666)Time elapsed: 0.205 s
% 5.40/1.13 % (2019666)Peak memory usage: 16 MB
% 5.40/1.13 % (2019666)Instructions burned: 868 (million)
% 5.40/1.13 % (2019674)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=304935663:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 5.40/1.13 % (2019669)Instruction limit reached!
% 5.40/1.13 % (2019669)------------------------------
% 5.40/1.13 % (2019669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.13 % (2019669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.13 % (2019669)CaDiCaL version: 2.1.3
% 5.40/1.13 % (2019669)Termination reason: Instruction limit
% 5.40/1.13 % (2019669)Termination phase: Finite model building constraint generation
% 5.40/1.13 % (2019669)Time elapsed: 0.163 s
% 5.40/1.13 % (2019669)Peak memory usage: 53 MB
% 5.40/1.13 % (2019669)Instructions burned: 895 (million)
% 5.40/1.13 % (2019676)fmb+10_1_sil=64000:random_seed=1073787683:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 5.40/1.13 % TRYING [1]
% 5.40/1.13 % TRYING [2]
% 5.40/1.13 % TRYING [3]
% 5.40/1.13 % TRYING [4]
% 5.40/1.13 % TRYING [5]
% 5.40/1.13 % (2019671)Instruction limit reached!
% 5.40/1.13 % (2019671)------------------------------
% 5.40/1.13 % (2019671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.13 % (2019671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.13 % (2019671)CaDiCaL version: 2.1.3
% 5.40/1.13 % (2019671)Termination reason: Instruction limit
% 5.40/1.13 % (2019671)Termination phase: Saturation
% 5.40/1.13 % (2019671)Time elapsed: 0.208 s
% 5.40/1.13 % (2019671)Peak memory usage: 20 MB
% 5.40/1.13 % (2019671)Instructions burned: 693 (million)
% 5.40/1.13 % (2019678)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2817662536:i=9515:nm=5_2994 on theBenchmark for (2994ds/9515Mi)
% 5.40/1.13 % TRYING [20]
% 5.40/1.13 % (2019668)Instruction limit reached!
% 5.40/1.13 % (2019668)------------------------------
% 5.40/1.13 % (2019668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.13 % (2019668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.13 % (2019668)CaDiCaL version: 2.1.3
% 5.40/1.13 % (2019668)Termination reason: Instruction limit
% 5.40/1.13 % (2019668)Termination phase: Saturation
% 5.40/1.13 % (2019668)Time elapsed: 0.318 s
% 5.40/1.13 % (2019668)Peak memory usage: 17 MB
% 5.40/1.13 % (2019668)Instructions burned: 1179 (million)
% 5.40/1.13 % (2019674)Instruction limit reached!
% 5.40/1.13 % (2019674)------------------------------
% 5.40/1.13 % (2019674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.13 % (2019674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.13 % (2019674)CaDiCaL version: 2.1.3
% 5.40/1.13 % (2019674)Termination reason: Instruction limit
% 5.40/1.13 % (2019674)Termination phase: Saturation
% 5.40/1.13 % (2019674)Time elapsed: 0.242 s
% 5.40/1.13 % (2019674)Peak memory usage: 15 MB
% 5.40/1.13 % (2019674)Instructions burned: 883 (million)
% 5.40/1.13 % (2019680)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2335883301:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 5.40/1.13 % TRYING [8]
% 5.40/1.13 % (2019681)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=483105265:i=5131_2993 on theBenchmark for (2993ds/5131Mi)
% 5.40/1.13 % TRYING [6]
% 5.40/1.13 % Finite Model Found!
% 5.40/1.13 % SZS status Satisfiable for theBenchmark
% 5.40/1.13 % (2019680) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2019637-2019680"...
% 5.40/1.13 % (2019680)...printing done.
% 5.40/1.13 % SZS output start FiniteModel for theBenchmark
% See solution above
% 5.40/1.13 % (2019680)------------------------------
% 5.40/1.13 % (2019680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.13 % (2019680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.13 % (2019680)CaDiCaL version: 2.1.3
% 5.40/1.13 % (2019680)Termination reason: Satisfiable
% 5.40/1.13 % (2019680)Time elapsed: 0.163 s
% 5.40/1.13 % (2019680)Peak memory usage: 40 MB
% 5.40/1.13 % (2019680)Instructions burned: 648 (million)
% 5.40/1.13 % (2019637)Success in time 0.792 s
% 5.40/1.13 % Vampire exiting
%------------------------------------------------------------------------------