%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG031-7 : 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 : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:35:48 PM UTC 2026
% Result : Satisfiable 65.88s 10.04s
% Output : FiniteModel 65.88s
% 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_additive_identity,type,
additive_identity: $i ).
tff(additive_identity_definition,axiom,
additive_identity = 'fmb_$i_1' ).
tff(declare_x,type,
x: $i ).
tff(x_definition,axiom,
x = 'fmb_$i_2' ).
tff(declare_y,type,
y: $i ).
tff(y_definition,axiom,
y = 'fmb_$i_3' ).
tff(declare_additive_inverse,type,
additive_inverse: $i > $i ).
tff(function_additive_inverse,axiom,
( ( additive_inverse('fmb_$i_1') = 'fmb_$i_1' )
& ( additive_inverse('fmb_$i_2') = 'fmb_$i_2' )
& ( additive_inverse('fmb_$i_3') = 'fmb_$i_3' )
& ( additive_inverse('fmb_$i_4') = 'fmb_$i_4' )
& ( additive_inverse('fmb_$i_5') = 'fmb_$i_5' )
& ( additive_inverse('fmb_$i_6') = 'fmb_$i_6' )
& ( additive_inverse('fmb_$i_7') = 'fmb_$i_7' )
& ( additive_inverse('fmb_$i_8') = 'fmb_$i_8' ) ) ).
tff(declare_multiply,type,
multiply: ( $i * $i ) > $i ).
tff(function_multiply,axiom,
( ( multiply('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( multiply('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( multiply('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( multiply('fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( multiply('fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( multiply('fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( multiply('fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( multiply('fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( multiply('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( multiply('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( multiply('fmb_$i_2','fmb_$i_3') = 'fmb_$i_4' )
& ( multiply('fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( multiply('fmb_$i_2','fmb_$i_5') = 'fmb_$i_3' )
& ( multiply('fmb_$i_2','fmb_$i_6') = 'fmb_$i_7' )
& ( multiply('fmb_$i_2','fmb_$i_7') = 'fmb_$i_4' )
& ( multiply('fmb_$i_2','fmb_$i_8') = 'fmb_$i_7' )
& ( multiply('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( multiply('fmb_$i_3','fmb_$i_2') = 'fmb_$i_4' )
& ( multiply('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( multiply('fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( multiply('fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( multiply('fmb_$i_3','fmb_$i_6') = 'fmb_$i_7' )
& ( multiply('fmb_$i_3','fmb_$i_7') = 'fmb_$i_7' )
& ( multiply('fmb_$i_3','fmb_$i_8') = 'fmb_$i_3' )
& ( multiply('fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( multiply('fmb_$i_4','fmb_$i_2') = 'fmb_$i_3' )
& ( multiply('fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( multiply('fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( multiply('fmb_$i_4','fmb_$i_5') = 'fmb_$i_3' )
& ( multiply('fmb_$i_4','fmb_$i_6') = 'fmb_$i_7' )
& ( multiply('fmb_$i_4','fmb_$i_7') = 'fmb_$i_4' )
& ( multiply('fmb_$i_4','fmb_$i_8') = 'fmb_$i_7' )
& ( multiply('fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( multiply('fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( multiply('fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( multiply('fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( multiply('fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( multiply('fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( multiply('fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( multiply('fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( multiply('fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( multiply('fmb_$i_6','fmb_$i_2') = 'fmb_$i_7' )
& ( multiply('fmb_$i_6','fmb_$i_3') = 'fmb_$i_7' )
& ( multiply('fmb_$i_6','fmb_$i_4') = 'fmb_$i_4' )
& ( multiply('fmb_$i_6','fmb_$i_5') = 'fmb_$i_3' )
& ( multiply('fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( multiply('fmb_$i_6','fmb_$i_7') = 'fmb_$i_3' )
& ( multiply('fmb_$i_6','fmb_$i_8') = 'fmb_$i_4' )
& ( multiply('fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( multiply('fmb_$i_7','fmb_$i_2') = 'fmb_$i_7' )
& ( multiply('fmb_$i_7','fmb_$i_3') = 'fmb_$i_7' )
& ( multiply('fmb_$i_7','fmb_$i_4') = 'fmb_$i_4' )
& ( multiply('fmb_$i_7','fmb_$i_5') = 'fmb_$i_3' )
& ( multiply('fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( multiply('fmb_$i_7','fmb_$i_7') = 'fmb_$i_3' )
& ( multiply('fmb_$i_7','fmb_$i_8') = 'fmb_$i_4' )
& ( multiply('fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( multiply('fmb_$i_8','fmb_$i_2') = 'fmb_$i_4' )
& ( multiply('fmb_$i_8','fmb_$i_3') = 'fmb_$i_3' )
& ( multiply('fmb_$i_8','fmb_$i_4') = 'fmb_$i_4' )
& ( multiply('fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( multiply('fmb_$i_8','fmb_$i_6') = 'fmb_$i_7' )
& ( multiply('fmb_$i_8','fmb_$i_7') = 'fmb_$i_7' )
& ( multiply('fmb_$i_8','fmb_$i_8') = 'fmb_$i_3' ) ) ).
tff(declare_add,type,
add: ( $i * $i ) > $i ).
tff(function_add,axiom,
( ( add('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( add('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( add('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( add('fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( add('fmb_$i_1','fmb_$i_5') = 'fmb_$i_5' )
& ( add('fmb_$i_1','fmb_$i_6') = 'fmb_$i_6' )
& ( add('fmb_$i_1','fmb_$i_7') = 'fmb_$i_7' )
& ( add('fmb_$i_1','fmb_$i_8') = 'fmb_$i_8' )
& ( add('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( add('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( add('fmb_$i_2','fmb_$i_3') = 'fmb_$i_6' )
& ( add('fmb_$i_2','fmb_$i_4') = 'fmb_$i_5' )
& ( add('fmb_$i_2','fmb_$i_5') = 'fmb_$i_4' )
& ( add('fmb_$i_2','fmb_$i_6') = 'fmb_$i_3' )
& ( add('fmb_$i_2','fmb_$i_7') = 'fmb_$i_8' )
& ( add('fmb_$i_2','fmb_$i_8') = 'fmb_$i_7' )
& ( add('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( add('fmb_$i_3','fmb_$i_2') = 'fmb_$i_6' )
& ( add('fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( add('fmb_$i_3','fmb_$i_4') = 'fmb_$i_7' )
& ( add('fmb_$i_3','fmb_$i_5') = 'fmb_$i_8' )
& ( add('fmb_$i_3','fmb_$i_6') = 'fmb_$i_2' )
& ( add('fmb_$i_3','fmb_$i_7') = 'fmb_$i_4' )
& ( add('fmb_$i_3','fmb_$i_8') = 'fmb_$i_5' )
& ( add('fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( add('fmb_$i_4','fmb_$i_2') = 'fmb_$i_5' )
& ( add('fmb_$i_4','fmb_$i_3') = 'fmb_$i_7' )
& ( add('fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( add('fmb_$i_4','fmb_$i_5') = 'fmb_$i_2' )
& ( add('fmb_$i_4','fmb_$i_6') = 'fmb_$i_8' )
& ( add('fmb_$i_4','fmb_$i_7') = 'fmb_$i_3' )
& ( add('fmb_$i_4','fmb_$i_8') = 'fmb_$i_6' )
& ( add('fmb_$i_5','fmb_$i_1') = 'fmb_$i_5' )
& ( add('fmb_$i_5','fmb_$i_2') = 'fmb_$i_4' )
& ( add('fmb_$i_5','fmb_$i_3') = 'fmb_$i_8' )
& ( add('fmb_$i_5','fmb_$i_4') = 'fmb_$i_2' )
& ( add('fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( add('fmb_$i_5','fmb_$i_6') = 'fmb_$i_7' )
& ( add('fmb_$i_5','fmb_$i_7') = 'fmb_$i_6' )
& ( add('fmb_$i_5','fmb_$i_8') = 'fmb_$i_3' )
& ( add('fmb_$i_6','fmb_$i_1') = 'fmb_$i_6' )
& ( add('fmb_$i_6','fmb_$i_2') = 'fmb_$i_3' )
& ( add('fmb_$i_6','fmb_$i_3') = 'fmb_$i_2' )
& ( add('fmb_$i_6','fmb_$i_4') = 'fmb_$i_8' )
& ( add('fmb_$i_6','fmb_$i_5') = 'fmb_$i_7' )
& ( add('fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( add('fmb_$i_6','fmb_$i_7') = 'fmb_$i_5' )
& ( add('fmb_$i_6','fmb_$i_8') = 'fmb_$i_4' )
& ( add('fmb_$i_7','fmb_$i_1') = 'fmb_$i_7' )
& ( add('fmb_$i_7','fmb_$i_2') = 'fmb_$i_8' )
& ( add('fmb_$i_7','fmb_$i_3') = 'fmb_$i_4' )
& ( add('fmb_$i_7','fmb_$i_4') = 'fmb_$i_3' )
& ( add('fmb_$i_7','fmb_$i_5') = 'fmb_$i_6' )
& ( add('fmb_$i_7','fmb_$i_6') = 'fmb_$i_5' )
& ( add('fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( add('fmb_$i_7','fmb_$i_8') = 'fmb_$i_2' )
& ( add('fmb_$i_8','fmb_$i_1') = 'fmb_$i_8' )
& ( add('fmb_$i_8','fmb_$i_2') = 'fmb_$i_7' )
& ( add('fmb_$i_8','fmb_$i_3') = 'fmb_$i_5' )
& ( add('fmb_$i_8','fmb_$i_4') = 'fmb_$i_6' )
& ( add('fmb_$i_8','fmb_$i_5') = 'fmb_$i_3' )
& ( add('fmb_$i_8','fmb_$i_6') = 'fmb_$i_4' )
& ( add('fmb_$i_8','fmb_$i_7') = 'fmb_$i_2' )
& ( add('fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' ) ) ).
tff(declare_associator,type,
associator: ( $i * $i * $i ) > $i ).
tff(function_associator,axiom,
( ( associator('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_8','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_8','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( associator('fmb_$i_2','fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_2','fmb_$i_5') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_2','fmb_$i_6') = 'fmb_$i_3' )
& ( associator('fmb_$i_2','fmb_$i_2','fmb_$i_7') = 'fmb_$i_7' )
& ( associator('fmb_$i_2','fmb_$i_2','fmb_$i_8') = 'fmb_$i_7' )
& ( associator('fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( associator('fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_3','fmb_$i_5') = 'fmb_$i_3' )
& ( associator('fmb_$i_2','fmb_$i_3','fmb_$i_6') = 'fmb_$i_3' )
& ( associator('fmb_$i_2','fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_3','fmb_$i_8') = 'fmb_$i_3' )
& ( associator('fmb_$i_2','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_4','fmb_$i_5') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_4','fmb_$i_6') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_4','fmb_$i_8') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_5','fmb_$i_2') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_5','fmb_$i_3') = 'fmb_$i_3' )
& ( associator('fmb_$i_2','fmb_$i_5','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_5','fmb_$i_6') = 'fmb_$i_7' )
& ( associator('fmb_$i_2','fmb_$i_5','fmb_$i_7') = 'fmb_$i_7' )
& ( associator('fmb_$i_2','fmb_$i_5','fmb_$i_8') = 'fmb_$i_3' )
& ( associator('fmb_$i_2','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_6','fmb_$i_2') = 'fmb_$i_3' )
& ( associator('fmb_$i_2','fmb_$i_6','fmb_$i_3') = 'fmb_$i_3' )
& ( associator('fmb_$i_2','fmb_$i_6','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_6','fmb_$i_5') = 'fmb_$i_7' )
& ( associator('fmb_$i_2','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_6','fmb_$i_7') = 'fmb_$i_7' )
& ( associator('fmb_$i_2','fmb_$i_6','fmb_$i_8') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_7','fmb_$i_2') = 'fmb_$i_7' )
& ( associator('fmb_$i_2','fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_7','fmb_$i_5') = 'fmb_$i_7' )
& ( associator('fmb_$i_2','fmb_$i_7','fmb_$i_6') = 'fmb_$i_7' )
& ( associator('fmb_$i_2','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_7','fmb_$i_8') = 'fmb_$i_7' )
& ( associator('fmb_$i_2','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_8','fmb_$i_2') = 'fmb_$i_7' )
& ( associator('fmb_$i_2','fmb_$i_8','fmb_$i_3') = 'fmb_$i_3' )
& ( associator('fmb_$i_2','fmb_$i_8','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_8','fmb_$i_5') = 'fmb_$i_3' )
& ( associator('fmb_$i_2','fmb_$i_8','fmb_$i_6') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_8','fmb_$i_7') = 'fmb_$i_7' )
& ( associator('fmb_$i_2','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_8','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_8','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( associator('fmb_$i_4','fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_2','fmb_$i_5') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_2','fmb_$i_6') = 'fmb_$i_3' )
& ( associator('fmb_$i_4','fmb_$i_2','fmb_$i_7') = 'fmb_$i_7' )
& ( associator('fmb_$i_4','fmb_$i_2','fmb_$i_8') = 'fmb_$i_7' )
& ( associator('fmb_$i_4','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( associator('fmb_$i_4','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_3','fmb_$i_5') = 'fmb_$i_3' )
& ( associator('fmb_$i_4','fmb_$i_3','fmb_$i_6') = 'fmb_$i_3' )
& ( associator('fmb_$i_4','fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_3','fmb_$i_8') = 'fmb_$i_3' )
& ( associator('fmb_$i_4','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_4','fmb_$i_5') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_4','fmb_$i_6') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_4','fmb_$i_8') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_5','fmb_$i_2') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_5','fmb_$i_3') = 'fmb_$i_3' )
& ( associator('fmb_$i_4','fmb_$i_5','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_5','fmb_$i_6') = 'fmb_$i_7' )
& ( associator('fmb_$i_4','fmb_$i_5','fmb_$i_7') = 'fmb_$i_7' )
& ( associator('fmb_$i_4','fmb_$i_5','fmb_$i_8') = 'fmb_$i_3' )
& ( associator('fmb_$i_4','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_6','fmb_$i_2') = 'fmb_$i_3' )
& ( associator('fmb_$i_4','fmb_$i_6','fmb_$i_3') = 'fmb_$i_3' )
& ( associator('fmb_$i_4','fmb_$i_6','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_6','fmb_$i_5') = 'fmb_$i_7' )
& ( associator('fmb_$i_4','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_6','fmb_$i_7') = 'fmb_$i_7' )
& ( associator('fmb_$i_4','fmb_$i_6','fmb_$i_8') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_7','fmb_$i_2') = 'fmb_$i_7' )
& ( associator('fmb_$i_4','fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_7','fmb_$i_5') = 'fmb_$i_7' )
& ( associator('fmb_$i_4','fmb_$i_7','fmb_$i_6') = 'fmb_$i_7' )
& ( associator('fmb_$i_4','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_7','fmb_$i_8') = 'fmb_$i_7' )
& ( associator('fmb_$i_4','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_8','fmb_$i_2') = 'fmb_$i_7' )
& ( associator('fmb_$i_4','fmb_$i_8','fmb_$i_3') = 'fmb_$i_3' )
& ( associator('fmb_$i_4','fmb_$i_8','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_8','fmb_$i_5') = 'fmb_$i_3' )
& ( associator('fmb_$i_4','fmb_$i_8','fmb_$i_6') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_8','fmb_$i_7') = 'fmb_$i_7' )
& ( associator('fmb_$i_4','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_8','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_8','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( associator('fmb_$i_6','fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_6','fmb_$i_2','fmb_$i_5') = 'fmb_$i_4' )
& ( associator('fmb_$i_6','fmb_$i_2','fmb_$i_6') = 'fmb_$i_3' )
& ( associator('fmb_$i_6','fmb_$i_2','fmb_$i_7') = 'fmb_$i_7' )
& ( associator('fmb_$i_6','fmb_$i_2','fmb_$i_8') = 'fmb_$i_7' )
& ( associator('fmb_$i_6','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( associator('fmb_$i_6','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_3','fmb_$i_5') = 'fmb_$i_3' )
& ( associator('fmb_$i_6','fmb_$i_3','fmb_$i_6') = 'fmb_$i_3' )
& ( associator('fmb_$i_6','fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_3','fmb_$i_8') = 'fmb_$i_3' )
& ( associator('fmb_$i_6','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( associator('fmb_$i_6','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_4','fmb_$i_5') = 'fmb_$i_4' )
& ( associator('fmb_$i_6','fmb_$i_4','fmb_$i_6') = 'fmb_$i_4' )
& ( associator('fmb_$i_6','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_4','fmb_$i_8') = 'fmb_$i_4' )
& ( associator('fmb_$i_6','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_5','fmb_$i_2') = 'fmb_$i_4' )
& ( associator('fmb_$i_6','fmb_$i_5','fmb_$i_3') = 'fmb_$i_3' )
& ( associator('fmb_$i_6','fmb_$i_5','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_6','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_5','fmb_$i_6') = 'fmb_$i_7' )
& ( associator('fmb_$i_6','fmb_$i_5','fmb_$i_7') = 'fmb_$i_7' )
& ( associator('fmb_$i_6','fmb_$i_5','fmb_$i_8') = 'fmb_$i_3' )
& ( associator('fmb_$i_6','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_6','fmb_$i_2') = 'fmb_$i_3' )
& ( associator('fmb_$i_6','fmb_$i_6','fmb_$i_3') = 'fmb_$i_3' )
& ( associator('fmb_$i_6','fmb_$i_6','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_6','fmb_$i_6','fmb_$i_5') = 'fmb_$i_7' )
& ( associator('fmb_$i_6','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_6','fmb_$i_7') = 'fmb_$i_7' )
& ( associator('fmb_$i_6','fmb_$i_6','fmb_$i_8') = 'fmb_$i_4' )
& ( associator('fmb_$i_6','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_7','fmb_$i_2') = 'fmb_$i_7' )
& ( associator('fmb_$i_6','fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_7','fmb_$i_5') = 'fmb_$i_7' )
& ( associator('fmb_$i_6','fmb_$i_7','fmb_$i_6') = 'fmb_$i_7' )
& ( associator('fmb_$i_6','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_7','fmb_$i_8') = 'fmb_$i_7' )
& ( associator('fmb_$i_6','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_8','fmb_$i_2') = 'fmb_$i_7' )
& ( associator('fmb_$i_6','fmb_$i_8','fmb_$i_3') = 'fmb_$i_3' )
& ( associator('fmb_$i_6','fmb_$i_8','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_6','fmb_$i_8','fmb_$i_5') = 'fmb_$i_3' )
& ( associator('fmb_$i_6','fmb_$i_8','fmb_$i_6') = 'fmb_$i_4' )
& ( associator('fmb_$i_6','fmb_$i_8','fmb_$i_7') = 'fmb_$i_7' )
& ( associator('fmb_$i_6','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( associator('fmb_$i_7','fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_7','fmb_$i_2','fmb_$i_5') = 'fmb_$i_4' )
& ( associator('fmb_$i_7','fmb_$i_2','fmb_$i_6') = 'fmb_$i_3' )
& ( associator('fmb_$i_7','fmb_$i_2','fmb_$i_7') = 'fmb_$i_7' )
& ( associator('fmb_$i_7','fmb_$i_2','fmb_$i_8') = 'fmb_$i_7' )
& ( associator('fmb_$i_7','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( associator('fmb_$i_7','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_3','fmb_$i_5') = 'fmb_$i_3' )
& ( associator('fmb_$i_7','fmb_$i_3','fmb_$i_6') = 'fmb_$i_3' )
& ( associator('fmb_$i_7','fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_3','fmb_$i_8') = 'fmb_$i_3' )
& ( associator('fmb_$i_7','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( associator('fmb_$i_7','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_4','fmb_$i_5') = 'fmb_$i_4' )
& ( associator('fmb_$i_7','fmb_$i_4','fmb_$i_6') = 'fmb_$i_4' )
& ( associator('fmb_$i_7','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_4','fmb_$i_8') = 'fmb_$i_4' )
& ( associator('fmb_$i_7','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_5','fmb_$i_2') = 'fmb_$i_4' )
& ( associator('fmb_$i_7','fmb_$i_5','fmb_$i_3') = 'fmb_$i_3' )
& ( associator('fmb_$i_7','fmb_$i_5','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_7','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_5','fmb_$i_6') = 'fmb_$i_7' )
& ( associator('fmb_$i_7','fmb_$i_5','fmb_$i_7') = 'fmb_$i_7' )
& ( associator('fmb_$i_7','fmb_$i_5','fmb_$i_8') = 'fmb_$i_3' )
& ( associator('fmb_$i_7','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_6','fmb_$i_2') = 'fmb_$i_3' )
& ( associator('fmb_$i_7','fmb_$i_6','fmb_$i_3') = 'fmb_$i_3' )
& ( associator('fmb_$i_7','fmb_$i_6','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_7','fmb_$i_6','fmb_$i_5') = 'fmb_$i_7' )
& ( associator('fmb_$i_7','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_6','fmb_$i_7') = 'fmb_$i_7' )
& ( associator('fmb_$i_7','fmb_$i_6','fmb_$i_8') = 'fmb_$i_4' )
& ( associator('fmb_$i_7','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_7','fmb_$i_2') = 'fmb_$i_7' )
& ( associator('fmb_$i_7','fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_7','fmb_$i_5') = 'fmb_$i_7' )
& ( associator('fmb_$i_7','fmb_$i_7','fmb_$i_6') = 'fmb_$i_7' )
& ( associator('fmb_$i_7','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_7','fmb_$i_8') = 'fmb_$i_7' )
& ( associator('fmb_$i_7','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_8','fmb_$i_2') = 'fmb_$i_7' )
& ( associator('fmb_$i_7','fmb_$i_8','fmb_$i_3') = 'fmb_$i_3' )
& ( associator('fmb_$i_7','fmb_$i_8','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_7','fmb_$i_8','fmb_$i_5') = 'fmb_$i_3' )
& ( associator('fmb_$i_7','fmb_$i_8','fmb_$i_6') = 'fmb_$i_4' )
& ( associator('fmb_$i_7','fmb_$i_8','fmb_$i_7') = 'fmb_$i_7' )
& ( associator('fmb_$i_7','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_8','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_8','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' ) ) ).
tff(declare_commutator,type,
commutator: ( $i * $i ) > $i ).
tff(function_commutator,axiom,
( ( commutator('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( commutator('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( commutator('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( commutator('fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( commutator('fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( commutator('fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( commutator('fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( commutator('fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( commutator('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( commutator('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( commutator('fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( commutator('fmb_$i_2','fmb_$i_4') = 'fmb_$i_3' )
& ( commutator('fmb_$i_2','fmb_$i_5') = 'fmb_$i_3' )
& ( commutator('fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( commutator('fmb_$i_2','fmb_$i_7') = 'fmb_$i_3' )
& ( commutator('fmb_$i_2','fmb_$i_8') = 'fmb_$i_3' )
& ( commutator('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( commutator('fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( commutator('fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( commutator('fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( commutator('fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( commutator('fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( commutator('fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( commutator('fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( commutator('fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( commutator('fmb_$i_4','fmb_$i_2') = 'fmb_$i_3' )
& ( commutator('fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( commutator('fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( commutator('fmb_$i_4','fmb_$i_5') = 'fmb_$i_3' )
& ( commutator('fmb_$i_4','fmb_$i_6') = 'fmb_$i_3' )
& ( commutator('fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( commutator('fmb_$i_4','fmb_$i_8') = 'fmb_$i_3' )
& ( commutator('fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( commutator('fmb_$i_5','fmb_$i_2') = 'fmb_$i_3' )
& ( commutator('fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( commutator('fmb_$i_5','fmb_$i_4') = 'fmb_$i_3' )
& ( commutator('fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( commutator('fmb_$i_5','fmb_$i_6') = 'fmb_$i_3' )
& ( commutator('fmb_$i_5','fmb_$i_7') = 'fmb_$i_3' )
& ( commutator('fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( commutator('fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( commutator('fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( commutator('fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( commutator('fmb_$i_6','fmb_$i_4') = 'fmb_$i_3' )
& ( commutator('fmb_$i_6','fmb_$i_5') = 'fmb_$i_3' )
& ( commutator('fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( commutator('fmb_$i_6','fmb_$i_7') = 'fmb_$i_3' )
& ( commutator('fmb_$i_6','fmb_$i_8') = 'fmb_$i_3' )
& ( commutator('fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( commutator('fmb_$i_7','fmb_$i_2') = 'fmb_$i_3' )
& ( commutator('fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( commutator('fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( commutator('fmb_$i_7','fmb_$i_5') = 'fmb_$i_3' )
& ( commutator('fmb_$i_7','fmb_$i_6') = 'fmb_$i_3' )
& ( commutator('fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( commutator('fmb_$i_7','fmb_$i_8') = 'fmb_$i_3' )
& ( commutator('fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( commutator('fmb_$i_8','fmb_$i_2') = 'fmb_$i_3' )
& ( commutator('fmb_$i_8','fmb_$i_3') = 'fmb_$i_1' )
& ( commutator('fmb_$i_8','fmb_$i_4') = 'fmb_$i_3' )
& ( commutator('fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( commutator('fmb_$i_8','fmb_$i_6') = 'fmb_$i_3' )
& ( commutator('fmb_$i_8','fmb_$i_7') = 'fmb_$i_3' )
& ( commutator('fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG031-7 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39 % Computer : n010.cluster.edu
% 0.09/0.39 % Model : x86_64 x86_64
% 0.09/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39 % Memory : 8046.5625MB
% 0.09/0.39 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Sun Sep 27 23:02:02 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.43 Running first-order model finding
% 0.09/0.43 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
% 15.36/2.68 % (1404438)Will run a generic schedule for satisfiability detection.
% 15.36/2.68 % (1404443)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3694985914_2999 on theBenchmark for (2999ds/0Mi)
% 15.36/2.68 % TRYING [1]
% 15.36/2.68 % TRYING [2]
% 15.36/2.68 % TRYING [3]
% 15.36/2.68 % (1404444)% WARNING: option uhcvi not known.
% 15.36/2.68 % (1404444)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4289891574:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.36/2.68 % (1404448)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3941266779:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.36/2.68 % (1404445)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3149733487:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.36/2.68 % (1404446)dis+10_1_sil=32000:sp=arity:random_seed=3489369452:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.36/2.68 % (1404449)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3950342739:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.36/2.68 % (1404447)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=852008961:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.36/2.68 % TRYING [4]
% 15.36/2.68 % TRYING [5]
% 15.36/2.68 % (1404446)Instruction limit reached!
% 15.36/2.68 % (1404446)------------------------------
% 15.36/2.68 % (1404446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.36/2.68 % (1404446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.36/2.68 % (1404446)CaDiCaL version: 2.1.3
% 15.36/2.68 % (1404446)Termination reason: Instruction limit
% 15.36/2.68 % (1404446)Termination phase: Saturation
% 15.36/2.68 % (1404446)Time elapsed: 0.058 s
% 15.36/2.68 % (1404446)Peak memory usage: 12 MB
% 15.36/2.68 % (1404446)Instructions burned: 104 (million)
% 15.36/2.68 % (1404447)Instruction limit reached!
% 15.36/2.68 % (1404447)------------------------------
% 15.36/2.68 % (1404447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.36/2.68 % (1404447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.36/2.68 % (1404447)CaDiCaL version: 2.1.3
% 15.36/2.68 % (1404447)Termination reason: Instruction limit
% 15.36/2.68 % (1404447)Termination phase: Saturation
% 15.36/2.68 % (1404447)Time elapsed: 0.068 s
% 15.36/2.68 % (1404447)Peak memory usage: 12 MB
% 15.36/2.68 % (1404447)Instructions burned: 120 (million)
% 15.36/2.68 % (1404448)Instruction limit reached!
% 15.36/2.68 % (1404448)------------------------------
% 15.36/2.68 % (1404448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.36/2.68 % (1404448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.36/2.68 % (1404448)CaDiCaL version: 2.1.3
% 15.36/2.68 % (1404448)Termination reason: Instruction limit
% 15.36/2.68 % (1404448)Termination phase: Saturation
% 15.36/2.68 % (1404448)Time elapsed: 0.073 s
% 15.36/2.68 % (1404448)Peak memory usage: 13 MB
% 15.36/2.68 % (1404448)Instructions burned: 131 (million)
% 15.36/2.68 % (1404457)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3767210583:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.36/2.68 % TRYING [1]
% 15.36/2.68 % TRYING [2]
% 15.36/2.68 % TRYING [3]
% 15.36/2.68 % (1404458)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4256258651:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 15.36/2.68 % (1404459)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=2154404817:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.36/2.68 % (1404449)Instruction limit reached!
% 15.36/2.68 % (1404449)------------------------------
% 15.36/2.68 % (1404449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.36/2.68 % (1404449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.36/2.68 % (1404449)CaDiCaL version: 2.1.3
% 15.36/2.68 % (1404449)Termination reason: Instruction limit
% 15.36/2.68 % (1404449)Termination phase: Saturation
% 15.36/2.68 % (1404449)Time elapsed: 0.093 s
% 15.36/2.68 % (1404449)Peak memory usage: 12 MB
% 15.36/2.68 % (1404449)Instructions burned: 160 (million)
% 15.36/2.68 % TRYING [4]
% 15.36/2.68 % (1404463)ott-21_1_sil=16000:fs=off:random_seed=1819461383:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.36/2.68 % TRYING [6]
% 15.36/2.68 % TRYING [5]
% 15.36/2.68 % (1404458)Instruction limit reached!
% 15.36/2.68 % (1404458)------------------------------
% 15.36/2.68 % (1404458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.95/7.23 % (1404458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.95/7.23 % (1404458)CaDiCaL version: 2.1.3
% 47.95/7.23 % (1404458)Termination reason: Instruction limit
% 47.95/7.23 % (1404458)Termination phase: Saturation
% 47.95/7.23 % (1404458)Time elapsed: 0.080 s
% 47.95/7.23 % (1404458)Peak memory usage: 12 MB
% 47.95/7.23 % (1404458)Instructions burned: 132 (million)
% 47.95/7.23 % (1404463)Instruction limit reached!
% 47.95/7.23 % (1404463)------------------------------
% 47.95/7.23 % (1404463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.95/7.23 % (1404463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.95/7.23 % (1404463)CaDiCaL version: 2.1.3
% 47.95/7.23 % (1404463)Termination reason: Instruction limit
% 47.95/7.23 % (1404463)Termination phase: Saturation
% 47.95/7.23 % (1404463)Time elapsed: 0.074 s
% 47.95/7.23 % (1404463)Peak memory usage: 11 MB
% 47.95/7.23 % (1404463)Instructions burned: 183 (million)
% 47.95/7.23 % (1404465)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=18789255:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 47.95/7.24 % (1404466)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1672300472:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 47.95/7.24 % TRYING [1]
% 47.95/7.24 % TRYING [2]
% 47.95/7.24 % TRYING [3]
% 47.95/7.24 % TRYING [4]
% 47.95/7.24 % TRYING [5]
% 47.95/7.24 % (1404459)Instruction limit reached!
% 47.95/7.24 % (1404459)------------------------------
% 47.95/7.24 % (1404459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.95/7.24 % (1404459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.95/7.24 % (1404459)CaDiCaL version: 2.1.3
% 47.95/7.24 % (1404459)Termination reason: Instruction limit
% 47.95/7.24 % (1404459)Termination phase: Saturation
% 47.95/7.24 % (1404459)Time elapsed: 0.331 s
% 47.95/7.24 % (1404459)Peak memory usage: 16 MB
% 47.95/7.24 % (1404459)Instructions burned: 685 (million)
% 47.95/7.24 % (1404465)Instruction limit reached!
% 47.95/7.24 % (1404465)------------------------------
% 47.95/7.24 % (1404465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.95/7.24 % (1404465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.95/7.24 % (1404465)CaDiCaL version: 2.1.3
% 47.95/7.24 % (1404465)Termination reason: Instruction limit
% 47.95/7.24 % (1404465)Termination phase: Saturation
% 47.95/7.24 % (1404465)Time elapsed: 0.245 s
% 47.95/7.24 % (1404465)Peak memory usage: 15 MB
% 47.95/7.24 % (1404465)Instructions burned: 478 (million)
% 47.95/7.24 % (1404469)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=286246487:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 47.95/7.24 % (1404470)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1940487425:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 47.95/7.24 % (1404457)Instruction limit reached!
% 47.95/7.24 % (1404457)------------------------------
% 47.95/7.24 % (1404457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.95/7.24 % (1404457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.95/7.24 % (1404457)CaDiCaL version: 2.1.3
% 47.95/7.24 % (1404457)Termination reason: Instruction limit
% 47.95/7.24 % (1404457)Termination phase: Finite model building SAT solving
% 47.95/7.24 % (1404457)Time elapsed: 0.379 s
% 47.95/7.24 % (1404457)Peak memory usage: 30 MB
% 47.95/7.24 % (1404457)Instructions burned: 715 (million)
% 47.95/7.24 % TRYING [7]
% 47.95/7.24 % (1404473)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=3616972708:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 47.95/7.24 % (1404466)Instruction limit reached!
% 47.95/7.24 % (1404466)------------------------------
% 47.95/7.24 % (1404466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.95/7.24 % (1404466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.95/7.24 % (1404466)CaDiCaL version: 2.1.3
% 47.95/7.24 % (1404466)Termination reason: Instruction limit
% 47.95/7.24 % (1404466)Termination phase: Finite model building SAT solving
% 47.95/7.24 % (1404466)Time elapsed: 0.332 s
% 47.95/7.24 % (1404466)Peak memory usage: 25 MB
% 47.95/7.24 % (1404466)Instructions burned: 867 (million)
% 47.95/7.24 % (1404475)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1730797806:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 47.95/7.24 % TRYING [14]
% 47.95/7.24 % (1404470)Instruction limit reached!
% 65.88/10.03 % (1404470)------------------------------
% 65.88/10.03 % (1404470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.88/10.03 % (1404470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.88/10.03 % (1404470)CaDiCaL version: 2.1.3
% 65.88/10.03 % (1404470)Termination reason: Instruction limit
% 65.88/10.03 % (1404470)Termination phase: Finite model building constraint generation
% 65.88/10.03 % (1404470)Time elapsed: 0.366 s
% 65.88/10.03 % (1404470)Peak memory usage: 91 MB
% 65.88/10.03 % (1404470)Instructions burned: 890 (million)
% 65.88/10.03 % (1404477)fmb+10_1_sil=64000:random_seed=3250235163:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 65.88/10.03 % TRYING [1]
% 65.88/10.03 % TRYING [2]
% 65.88/10.03 % (1404473)Instruction limit reached!
% 65.88/10.03 % (1404473)------------------------------
% 65.88/10.03 % (1404473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.88/10.03 % (1404473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.88/10.03 % (1404473)CaDiCaL version: 2.1.3
% 65.88/10.03 % (1404473)Termination reason: Instruction limit
% 65.88/10.03 % (1404473)Termination phase: Saturation
% 65.88/10.03 % (1404473)Time elapsed: 0.376 s
% 65.88/10.03 % (1404473)Peak memory usage: 17 MB
% 65.88/10.03 % (1404473)Instructions burned: 693 (million)
% 65.88/10.03 % TRYING [3]
% 65.88/10.03 % (1404479)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2273703024:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 65.88/10.03 % TRYING [20]
% 65.88/10.03 % TRYING [4]
% 65.88/10.03 % TRYING [5]
% 65.88/10.03 % (1404475)Instruction limit reached!
% 65.88/10.03 % (1404475)------------------------------
% 65.88/10.03 % (1404475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.88/10.03 % (1404475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.88/10.03 % (1404475)CaDiCaL version: 2.1.3
% 65.88/10.03 % (1404475)Termination reason: Instruction limit
% 65.88/10.03 % (1404475)Termination phase: Saturation
% 65.88/10.03 % (1404475)Time elapsed: 0.435 s
% 65.88/10.03 % (1404475)Peak memory usage: 16 MB
% 65.88/10.03 % (1404475)Instructions burned: 879 (million)
% 65.88/10.03 % (1404481)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3709053802:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 65.88/10.03 % TRYING [8]
% 65.88/10.03 % (1404469)Instruction limit reached!
% 65.88/10.04 % (1404469)------------------------------
% 65.88/10.04 % (1404469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.88/10.04 % (1404469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.88/10.04 % (1404469)CaDiCaL version: 2.1.3
% 65.88/10.04 % (1404469)Termination reason: Instruction limit
% 65.88/10.04 % (1404469)Termination phase: Saturation
% 65.88/10.04 % (1404469)Time elapsed: 0.575 s
% 65.88/10.04 % (1404469)Peak memory usage: 16 MB
% 65.88/10.04 % (1404469)Instructions burned: 1180 (million)
% 65.88/10.04 % (1404483)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1500253217:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 65.88/10.04 % TRYING [6]
% 65.88/10.04 % (1404481)Instruction limit reached!
% 65.88/10.04 % (1404481)------------------------------
% 65.88/10.04 % (1404481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.88/10.04 % (1404481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.88/10.04 % (1404481)CaDiCaL version: 2.1.3
% 65.88/10.04 % (1404481)Termination reason: Instruction limit
% 65.88/10.04 % (1404481)Termination phase: Finite model building constraint generation
% 65.88/10.04 % (1404481)Time elapsed: 0.347 s
% 65.88/10.04 % (1404481)Peak memory usage: 79 MB
% 65.88/10.04 % (1404481)Instructions burned: 921 (million)
% 65.88/10.04 % (1404485)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2706309448:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 65.88/10.04 % (1404485)Instruction limit reached!
% 65.88/10.04 % (1404485)------------------------------
% 65.88/10.04 % (1404485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.88/10.04 % (1404485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.88/10.04 % (1404485)CaDiCaL version: 2.1.3
% 65.88/10.04 % (1404485)Termination reason: Instruction limit
% 65.88/10.04 % (1404485)Termination phase: Saturation
% 65.88/10.04 % (1404485)Time elapsed: 0.799 s
% 65.88/10.04 % (1404485)Peak memory usage: 29 MB
% 65.88/10.04 % (1404485)Instructions burned: 1472 (million)
% 65.88/10.04 % (1404488)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3899702386:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 65.88/10.04 % TRYING [77]
% 65.88/10.04 % TRYING [7]
% 65.88/10.04 % TRYING [8]
% 65.88/10.04 % (1404483)Instruction limit reached!
% 65.88/10.04 % (1404483)------------------------------
% 65.88/10.04 % (1404483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.88/10.04 % (1404483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.88/10.04 % (1404483)CaDiCaL version: 2.1.3
% 65.88/10.04 % (1404483)Termination reason: Instruction limit
% 65.88/10.04 % (1404483)Termination phase: Saturation
% 65.88/10.04 % (1404483)Time elapsed: 2.733 s
% 65.88/10.04 % (1404483)Peak memory usage: 47 MB
% 65.88/10.04 % (1404483)Instructions burned: 5131 (million)
% 65.88/10.04 % (1404490)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3608457108:fmbsr=2.30978:i=2174_2961 on theBenchmark for (2961ds/2174Mi)
% 65.88/10.04 % TRYING [16]
% 65.88/10.04 % (1404479)Instruction limit reached!
% 65.88/10.04 % (1404479)------------------------------
% 65.88/10.04 % (1404479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.88/10.04 % (1404479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.88/10.04 % (1404479)CaDiCaL version: 2.1.3
% 65.88/10.04 % (1404479)Termination reason: Instruction limit
% 65.88/10.04 % (1404479)Termination phase: Finite model building constraint generation
% 65.88/10.04 % (1404479)Time elapsed: 3.465 s
% 65.88/10.04 % (1404479)Peak memory usage: 667 MB
% 65.88/10.04 % (1404479)Instructions burned: 9517 (million)
% 65.88/10.04 % (1404492)ott-2_1_sil=16000:newcnf=on:random_seed=500018160:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2955 on theBenchmark for (2955ds/869Mi)
% 65.88/10.04 % (1404490)Instruction limit reached!
% 65.88/10.04 % (1404490)------------------------------
% 65.88/10.04 % (1404490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.88/10.04 % (1404490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.88/10.04 % (1404490)CaDiCaL version: 2.1.3
% 65.88/10.04 % (1404490)Termination reason: Instruction limit
% 65.88/10.04 % (1404490)Termination phase: Finite model building constraint generation
% 65.88/10.04 % (1404490)Time elapsed: 0.744 s
% 65.88/10.04 % (1404490)Peak memory usage: 133 MB
% 65.88/10.04 % (1404490)Instructions burned: 2176 (million)
% 65.88/10.04 % (1404488)Instruction limit reached!
% 65.88/10.04 % (1404488)------------------------------
% 65.88/10.04 % (1404488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.88/10.04 % (1404488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.88/10.04 % (1404488)CaDiCaL version: 2.1.3
% 65.88/10.04 % (1404488)Termination reason: Instruction limit
% 65.88/10.04 % (1404488)Termination phase: Finite model building constraint generation
% 65.88/10.04 % (1404488)Time elapsed: 2.345 s
% 65.88/10.04 % (1404488)Peak memory usage: 451 MB
% 65.88/10.04 % (1404488)Instructions burned: 6325 (million)
% 65.88/10.04 % (1404494)ott+10_1_sil=32000:tgt=ground:random_seed=3571733812:i=5114:av=off_2954 on theBenchmark for (2954ds/5114Mi)
% 65.88/10.04 % (1404496)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1941712578:i=54282_2953 on theBenchmark for (2953ds/54282Mi)
% 65.88/10.04 % TRYING [1]
% 65.88/10.04 % TRYING [2]
% 65.88/10.04 % TRYING [3]
% 65.88/10.04 % TRYING [4]
% 65.88/10.04 % TRYING [5]
% 65.88/10.04 % TRYING [6]
% 65.88/10.04 % (1404492)Instruction limit reached!
% 65.88/10.04 % (1404492)------------------------------
% 65.88/10.04 % (1404492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.88/10.04 % (1404492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.88/10.04 % (1404492)CaDiCaL version: 2.1.3
% 65.88/10.04 % (1404492)Termination reason: Instruction limit
% 65.88/10.04 % (1404492)Termination phase: Saturation
% 65.88/10.04 % (1404492)Time elapsed: 0.491 s
% 65.88/10.04 % (1404492)Peak memory usage: 18 MB
% 65.88/10.04 % (1404492)Instructions burned: 869 (million)
% 65.88/10.04 % (1404498)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2940488466:i=3512:aac=none_2950 on theBenchmark for (2950ds/3512Mi)
% 65.88/10.04 % TRYING [7]
% 65.88/10.04 % TRYING [8]
% 65.88/10.04 % (1404498)Instruction limit reached!
% 65.88/10.04 % (1404498)------------------------------
% 65.88/10.04 % (1404498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.88/10.04 % (1404498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.88/10.04 % (1404498)CaDiCaL version: 2.1.3
% 65.88/10.04 % (1404498)Termination reason: Instruction limit
% 65.88/10.04 % (1404498)Termination phase: Saturation
% 65.88/10.04 % (1404498)Time elapsed: 1.790 s
% 65.88/10.04 % (1404498)Peak memory usage: 36 MB
% 65.88/10.04 % (1404498)Instructions burned: 3514 (million)
% 65.88/10.04 % (1404500)dis+21_1_sil=32000:sas=cadical:random_seed=2604324554:i=3773:amm=off_2932 on theBenchmark for (2932ds/3773Mi)
% 65.88/10.04 % (1404494)Instruction limit reached!
% 65.88/10.04 % (1404494)------------------------------
% 65.88/10.04 % (1404494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.88/10.04 % (1404494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.88/10.04 % (1404494)CaDiCaL version: 2.1.3
% 65.88/10.04 % (1404494)Termination reason: Instruction limit
% 65.88/10.04 % (1404494)Termination phase: Saturation
% 65.88/10.04 % (1404494)Time elapsed: 3.048 s
% 65.88/10.04 % (1404494)Peak memory usage: 54 MB
% 65.88/10.04 % (1404494)Instructions burned: 5115 (million)
% 65.88/10.04 % (1404502)ott+11_1_sil=16000:gs=on:random_seed=3080097249:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2923 on theBenchmark for (2923ds/2251Mi)
% 65.88/10.04 % (1404500)Instruction limit reached!
% 65.88/10.04 % (1404500)------------------------------
% 65.88/10.04 % (1404500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.88/10.04 % (1404500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.88/10.04 % (1404500)CaDiCaL version: 2.1.3
% 65.88/10.04 % (1404500)Termination reason: Instruction limit
% 65.88/10.04 % (1404500)Termination phase: Saturation
% 65.88/10.04 % (1404500)Time elapsed: 1.941 s
% 65.88/10.04 % (1404500)Peak memory usage: 36 MB
% 65.88/10.04 % (1404500)Instructions burned: 3773 (million)
% 65.88/10.04 % (1404504)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2870284336:fmbsr=1.6:i=67534_2912 on theBenchmark for (2912ds/67534Mi)
% 65.88/10.04 % TRYING [7]
% 65.88/10.04 % (1404502)Instruction limit reached!
% 65.88/10.04 % (1404502)------------------------------
% 65.88/10.04 % (1404502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.88/10.04 % (1404502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.88/10.04 % (1404502)CaDiCaL version: 2.1.3
% 65.88/10.04 % (1404502)Termination reason: Instruction limit
% 65.88/10.04 % (1404502)Termination phase: Saturation
% 65.88/10.04 % (1404502)Time elapsed: 1.248 s
% 65.88/10.04 % (1404502)Peak memory usage: 25 MB
% 65.88/10.04 % (1404502)Instructions burned: 2252 (million)
% 65.88/10.04 % (1404506)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=205959951:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2910 on theBenchmark for (2910ds/4591Mi)
% 65.88/10.04 % Finite Model Found!
% 65.88/10.04 % SZS status Satisfiable for theBenchmark
% 65.88/10.04 % (1404443) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1404438-1404443"...
% 65.88/10.04 % (1404443)...printing done.
% 65.88/10.04 % SZS output start FiniteModel for theBenchmark
% See solution above
% 65.88/10.04 % (1404443)------------------------------
% 65.88/10.04 % (1404443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.88/10.04 % (1404443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.88/10.04 % (1404443)CaDiCaL version: 2.1.3
% 65.88/10.04 % (1404443)Termination reason: Satisfiable
% 65.88/10.04 % (1404443)Time elapsed: 9.539 s
% 65.88/10.04 % (1404443)Peak memory usage: 221 MB
% 65.88/10.04 % (1404443)Instructions burned: 19327 (million)
% 65.88/10.04 % (1404438)Success in time 9.601 s
% 65.88/10.04 % Vampire exiting
%------------------------------------------------------------------------------