%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL219-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 11:58:03 AM UTC 2026
% Result : Satisfiable 7.38s 1.53s
% Output : FiniteModel 7.38s
% 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': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' )
| ( X = 'fmb_$i_3' )
| ( X = 'fmb_$i_4' )
| ( X = 'fmb_$i_5' ) ) ).
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_2' != 'fmb_$i_3' )
& ( 'fmb_$i_2' != 'fmb_$i_4' )
& ( 'fmb_$i_2' != 'fmb_$i_5' )
& ( 'fmb_$i_3' != 'fmb_$i_4' )
& ( 'fmb_$i_3' != 'fmb_$i_5' )
& ( 'fmb_$i_4' != 'fmb_$i_5' ) ) ).
tff(declare_true,type,
true: $i ).
tff(true_definition,axiom,
true = 'fmb_$i_1' ).
tff(declare_p,type,
p: $i ).
tff(p_definition,axiom,
p = 'fmb_$i_1' ).
tff(declare_q,type,
q: $i ).
tff(q_definition,axiom,
q = 'fmb_$i_1' ).
tff(declare_ifeq,type,
ifeq: ( $i * $i * $i * $i ) > $i ).
tff(function_ifeq,axiom,
( ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_4') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_5') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_3','fmb_$i_4') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_3','fmb_$i_5') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_4','fmb_$i_5') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_5','fmb_$i_1') = 'fmb_$i_5' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_5','fmb_$i_2') = 'fmb_$i_5' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_5','fmb_$i_3') = 'fmb_$i_5' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_5','fmb_$i_4') = 'fmb_$i_5' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_5','fmb_$i_5') = 'fmb_$i_5' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_5','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_5','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_5','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_5','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_5','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_5','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_5','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_5','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_5','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_5','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_5','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_5','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_5','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_5','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_5','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_5','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_5','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_5','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_5','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_5','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_5','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_5','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_5','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_5','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_5','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_5' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_4','fmb_$i_1') = 'fmb_$i_5' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_4') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_5') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_3','fmb_$i_4') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_3','fmb_$i_5') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_4','fmb_$i_5') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_5','fmb_$i_1') = 'fmb_$i_5' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_5','fmb_$i_2') = 'fmb_$i_5' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_5','fmb_$i_3') = 'fmb_$i_5' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_5','fmb_$i_4') = 'fmb_$i_5' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_5','fmb_$i_5') = 'fmb_$i_5' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_5','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_5','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_5','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_5','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_5','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_5','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_5','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_5','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_5','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_5','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_5','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_5','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_5','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_5','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_5','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_5','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_5','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_5','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_5','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_5','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_5','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_5','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_5','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_5','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_5','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_2','fmb_$i_4') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_2','fmb_$i_5') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_3','fmb_$i_4') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_3','fmb_$i_5') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_4','fmb_$i_5') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_5','fmb_$i_1') = 'fmb_$i_5' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_5','fmb_$i_2') = 'fmb_$i_5' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_5','fmb_$i_3') = 'fmb_$i_5' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_5','fmb_$i_4') = 'fmb_$i_5' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_5','fmb_$i_5') = 'fmb_$i_5' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_5','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_5','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_5','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_5','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_5','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_5','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_5','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_5','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_5','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_5','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_5','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_5','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_5','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_5','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_5','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_5','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_5','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_5','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_5','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_5','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_5','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_5','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_5','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_5','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_5','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_2','fmb_$i_4') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_2','fmb_$i_5') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_3','fmb_$i_4') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_3','fmb_$i_5') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_4','fmb_$i_5') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_5','fmb_$i_1') = 'fmb_$i_5' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_5','fmb_$i_2') = 'fmb_$i_5' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_5','fmb_$i_3') = 'fmb_$i_5' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_5','fmb_$i_4') = 'fmb_$i_5' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_5','fmb_$i_5') = 'fmb_$i_5' )
& ( ifeq('fmb_$i_4','fmb_$i_5','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_5','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_5','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_5','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_5','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_5','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_5','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_5','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_5','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_5','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_5','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_5','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_5','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_5','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_5','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_5','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_5','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_5','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_5','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_5','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_5','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_5','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_5','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_5','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_5','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_1','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_1','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_1','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_1','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_1','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_1','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_1','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_1','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_1','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_1','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_1','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_1','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_1','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_1','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_1','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_1','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_2','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_2','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_2','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_2','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_2','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_2','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_2','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_2','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_2','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_2','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_2','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_2','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_2','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_2','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_2','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_2','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_3','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_3','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_3','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_3','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_3','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_3','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_3','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_3','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_3','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_3','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_3','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_3','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_3','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_3','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_3','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_3','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_4','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_4','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_4','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_4','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_4','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_4','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_4','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_4','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_4','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_4','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_4','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_4','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_4','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_4','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_4','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_4','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_4','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_4','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_4','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_4','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_4','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_4','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_4','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_4','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_4','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_5','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_5','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_5','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_5','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_5','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_5','fmb_$i_5','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_5','fmb_$i_5','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_5','fmb_$i_5','fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_5','fmb_$i_5','fmb_$i_2','fmb_$i_4') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_5','fmb_$i_5','fmb_$i_2','fmb_$i_5') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_5','fmb_$i_5','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_5','fmb_$i_5','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_5','fmb_$i_5','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_5','fmb_$i_5','fmb_$i_3','fmb_$i_4') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_5','fmb_$i_5','fmb_$i_3','fmb_$i_5') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_5','fmb_$i_5','fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_5','fmb_$i_5','fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_5','fmb_$i_5','fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_5','fmb_$i_5','fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_5','fmb_$i_5','fmb_$i_4','fmb_$i_5') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_5','fmb_$i_5','fmb_$i_5','fmb_$i_1') = 'fmb_$i_5' )
& ( ifeq('fmb_$i_5','fmb_$i_5','fmb_$i_5','fmb_$i_2') = 'fmb_$i_5' )
& ( ifeq('fmb_$i_5','fmb_$i_5','fmb_$i_5','fmb_$i_3') = 'fmb_$i_5' )
& ( ifeq('fmb_$i_5','fmb_$i_5','fmb_$i_5','fmb_$i_4') = 'fmb_$i_5' )
& ( ifeq('fmb_$i_5','fmb_$i_5','fmb_$i_5','fmb_$i_5') = 'fmb_$i_5' ) ) ).
tff(declare_or,type,
or: ( $i * $i ) > $i ).
tff(function_or,axiom,
( ( or('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( or('fmb_$i_1','fmb_$i_2') = 'fmb_$i_4' )
& ( or('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( or('fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( or('fmb_$i_1','fmb_$i_5') = 'fmb_$i_3' )
& ( or('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( or('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( or('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( or('fmb_$i_2','fmb_$i_4') = 'fmb_$i_2' )
& ( or('fmb_$i_2','fmb_$i_5') = 'fmb_$i_3' )
& ( or('fmb_$i_3','fmb_$i_1') = 'fmb_$i_5' )
& ( or('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( or('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( or('fmb_$i_3','fmb_$i_4') = 'fmb_$i_3' )
& ( or('fmb_$i_3','fmb_$i_5') = 'fmb_$i_3' )
& ( or('fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( or('fmb_$i_4','fmb_$i_2') = 'fmb_$i_2' )
& ( or('fmb_$i_4','fmb_$i_3') = 'fmb_$i_3' )
& ( or('fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( or('fmb_$i_4','fmb_$i_5') = 'fmb_$i_3' )
& ( or('fmb_$i_5','fmb_$i_1') = 'fmb_$i_5' )
& ( or('fmb_$i_5','fmb_$i_2') = 'fmb_$i_3' )
& ( or('fmb_$i_5','fmb_$i_3') = 'fmb_$i_3' )
& ( or('fmb_$i_5','fmb_$i_4') = 'fmb_$i_3' )
& ( or('fmb_$i_5','fmb_$i_5') = 'fmb_$i_5' ) ) ).
tff(declare_not,type,
not: $i > $i ).
tff(function_not,axiom,
( ( not('fmb_$i_1') = 'fmb_$i_2' )
& ( not('fmb_$i_2') = 'fmb_$i_3' )
& ( not('fmb_$i_3') = 'fmb_$i_1' )
& ( not('fmb_$i_4') = 'fmb_$i_5' )
& ( not('fmb_$i_5') = 'fmb_$i_1' ) ) ).
tff(declare_axiom,type,
axiom: $i > $i ).
tff(function_axiom,axiom,
( ( axiom('fmb_$i_1') = 'fmb_$i_4' )
& ( axiom('fmb_$i_2') = 'fmb_$i_1' )
& ( axiom('fmb_$i_3') = 'fmb_$i_1' )
& ( axiom('fmb_$i_4') = 'fmb_$i_4' )
& ( axiom('fmb_$i_5') = 'fmb_$i_5' ) ) ).
tff(declare_theorem,type,
theorem: $i > $i ).
tff(function_theorem,axiom,
( ( theorem('fmb_$i_1') = 'fmb_$i_2' )
& ( theorem('fmb_$i_2') = 'fmb_$i_1' )
& ( theorem('fmb_$i_3') = 'fmb_$i_1' )
& ( theorem('fmb_$i_4') = 'fmb_$i_1' )
& ( theorem('fmb_$i_5') = 'fmb_$i_1' ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL219-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 27 15:30:45 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 Running first-order model finding
% 0.12/0.38 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.38/1.53 % (1787738)Will run a generic schedule for satisfiability detection.
% 7.38/1.53 % (1787748)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3116083385:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.38/1.53 % (1787744)% WARNING: option uhcvi not known.
% 7.38/1.53 % (1787745)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1554795910:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.38/1.53 % (1787747)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1786628771:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.38/1.53 % (1787746)dis+10_1_sil=32000:sp=arity:random_seed=776229144:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.38/1.53 % (1787743)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1306688789_2999 on theBenchmark for (2999ds/0Mi)
% 7.38/1.53 % (1787744)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2284200480:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.38/1.53 % (1787749)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3820530042:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.38/1.53 % TRYING [1]
% 7.38/1.53 % TRYING [2]
% 7.38/1.53 % TRYING [3]
% 7.38/1.53 % (1787748)Instruction limit reached!
% 7.38/1.53 % (1787748)------------------------------
% 7.38/1.53 % (1787748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.38/1.53 % (1787748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/1.53 % (1787748)CaDiCaL version: 2.1.3
% 7.38/1.53 % (1787748)Termination reason: Instruction limit
% 7.38/1.53 % (1787748)Termination phase: Saturation
% 7.38/1.53 % (1787748)Time elapsed: 0.058 s
% 7.38/1.53 % (1787748)Peak memory usage: 12 MB
% 7.38/1.53 % (1787748)Instructions burned: 132 (million)
% 7.38/1.53 % TRYING [4]
% 7.38/1.53 % (1787757)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1800423626:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.38/1.53 % TRYING [1]
% 7.38/1.53 % TRYING [2]
% 7.38/1.53 % TRYING [3]
% 7.38/1.53 % (1787746)Instruction limit reached!
% 7.38/1.53 % (1787746)------------------------------
% 7.38/1.53 % (1787746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.38/1.53 % (1787746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/1.53 % (1787746)CaDiCaL version: 2.1.3
% 7.38/1.53 % (1787746)Termination reason: Instruction limit
% 7.38/1.53 % (1787746)Termination phase: Saturation
% 7.38/1.53 % (1787746)Time elapsed: 0.091 s
% 7.38/1.53 % (1787746)Peak memory usage: 12 MB
% 7.38/1.53 % (1787746)Instructions burned: 103 (million)
% 7.38/1.53 % (1787747)Instruction limit reached!
% 7.38/1.53 % (1787747)------------------------------
% 7.38/1.53 % (1787747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.38/1.53 % (1787747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/1.53 % (1787747)CaDiCaL version: 2.1.3
% 7.38/1.53 % (1787747)Termination reason: Instruction limit
% 7.38/1.53 % (1787747)Termination phase: Saturation
% 7.38/1.53 % (1787747)Time elapsed: 0.101 s
% 7.38/1.53 % (1787747)Peak memory usage: 12 MB
% 7.38/1.53 % (1787747)Instructions burned: 116 (million)
% 7.38/1.53 % (1787761)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=1360681566:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.38/1.53 % (1787760)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2802796350:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.38/1.53 % (1787749)Instruction limit reached!
% 7.38/1.53 % (1787749)------------------------------
% 7.38/1.53 % (1787749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.38/1.53 % (1787749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/1.53 % (1787749)CaDiCaL version: 2.1.3
% 7.38/1.53 % (1787749)Termination reason: Instruction limit
% 7.38/1.53 % (1787749)Termination phase: Saturation
% 7.38/1.53 % (1787749)Time elapsed: 0.140 s
% 7.38/1.53 % (1787749)Peak memory usage: 12 MB
% 7.38/1.53 % (1787749)Instructions burned: 159 (million)
% 7.38/1.53 % TRYING [4]
% 7.38/1.53 % (1787770)ott-21_1_sil=16000:fs=off:random_seed=3288584061:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.38/1.53 % (1787760)Instruction limit reached!
% 7.38/1.53 % (1787760)------------------------------
% 7.38/1.53 % (1787760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.38/1.53 % (1787760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/1.53 % (1787760)CaDiCaL version: 2.1.3
% 7.38/1.53 % (1787760)Termination reason: Instruction limit
% 7.38/1.53 % (1787760)Termination phase: Saturation
% 7.38/1.53 % (1787760)Time elapsed: 0.134 s
% 7.38/1.53 % (1787760)Peak memory usage: 13 MB
% 7.38/1.53 % (1787760)Instructions burned: 131 (million)
% 7.38/1.53 % (1787774)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=152564034:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 7.38/1.53 % (1787770)Instruction limit reached!
% 7.38/1.53 % (1787770)------------------------------
% 7.38/1.53 % (1787770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.38/1.53 % (1787770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/1.53 % (1787770)CaDiCaL version: 2.1.3
% 7.38/1.53 % (1787770)Termination reason: Instruction limit
% 7.38/1.53 % (1787770)Termination phase: Saturation
% 7.38/1.53 % (1787770)Time elapsed: 0.155 s
% 7.38/1.53 % (1787770)Peak memory usage: 12 MB
% 7.38/1.53 % (1787770)Instructions burned: 180 (million)
% 7.38/1.53 % (1787776)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=421000773:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 7.38/1.53 % TRYING [1]
% 7.38/1.53 % TRYING [2]
% 7.38/1.53 % TRYING [3]
% 7.38/1.53 % TRYING [4]
% 7.38/1.53 % (1787761)Instruction limit reached!
% 7.38/1.53 % (1787761)------------------------------
% 7.38/1.53 % (1787761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.38/1.53 % (1787761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/1.53 % (1787761)CaDiCaL version: 2.1.3
% 7.38/1.53 % (1787761)Termination reason: Instruction limit
% 7.38/1.53 % (1787761)Termination phase: Saturation
% 7.38/1.53 % (1787761)Time elapsed: 0.264 s
% 7.38/1.53 % (1787761)Peak memory usage: 17 MB
% 7.38/1.53 % (1787761)Instructions burned: 684 (million)
% 7.38/1.53 % (1787778)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3737252098:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 7.38/1.53 % (1787757)Instruction limit reached!
% 7.38/1.53 % (1787757)------------------------------
% 7.38/1.53 % (1787757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.38/1.53 % (1787757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/1.53 % (1787757)CaDiCaL version: 2.1.3
% 7.38/1.53 % (1787757)Termination reason: Instruction limit
% 7.38/1.53 % (1787757)Termination phase: Finite model building SAT solving
% 7.38/1.53 % (1787757)Time elapsed: 0.462 s
% 7.38/1.53 % (1787757)Peak memory usage: 17 MB
% 7.38/1.53 % (1787757)Instructions burned: 715 (million)
% 7.38/1.53 % (1787781)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1328633033:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 7.38/1.53 % (1787774)Instruction limit reached!
% 7.38/1.53 % (1787774)------------------------------
% 7.38/1.53 % (1787774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.38/1.53 % (1787774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/1.53 % (1787774)CaDiCaL version: 2.1.3
% 7.38/1.53 % (1787774)Termination reason: Instruction limit
% 7.38/1.53 % (1787774)Termination phase: Saturation
% 7.38/1.53 % (1787774)Time elapsed: 0.278 s
% 7.38/1.53 % (1787774)Peak memory usage: 16 MB
% 7.38/1.53 % (1787774)Instructions burned: 477 (million)
% 7.38/1.53 % (1787783)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=64395202:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2993 on theBenchmark for (2993ds/692Mi)
% 7.38/1.53 % TRYING [5]
% 7.38/1.53 % (1787778)Instruction limit reached!
% 7.38/1.53 % (1787778)------------------------------
% 7.38/1.53 % (1787778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.38/1.53 % (1787778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/1.53 % (1787778)CaDiCaL version: 2.1.3
% 7.38/1.53 % (1787778)Termination reason: Instruction limit
% 7.38/1.53 % (1787778)Termination phase: Saturation
% 7.38/1.53 % (1787778)Time elapsed: 0.346 s
% 7.38/1.53 % (1787778)Peak memory usage: 29 MB
% 7.38/1.53 % (1787778)Instructions burned: 1180 (million)
% 7.38/1.53 % (1787809)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2320598699:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 7.38/1.53 % (1787776)Instruction limit reached!
% 7.38/1.53 % (1787776)------------------------------
% 7.38/1.53 % (1787776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.38/1.53 % (1787776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/1.53 % (1787776)CaDiCaL version: 2.1.3
% 7.38/1.53 % (1787776)Termination reason: Instruction limit
% 7.38/1.53 % (1787776)Termination phase: Finite model building SAT solving
% 7.38/1.53 % (1787776)Time elapsed: 0.451 s
% 7.38/1.53 % (1787776)Peak memory usage: 18 MB
% 7.38/1.53 % (1787776)Instructions burned: 866 (million)
% 7.38/1.53 % (1787823)fmb+10_1_sil=64000:random_seed=839138518:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 7.38/1.53 % TRYING [1]
% 7.38/1.53 % TRYING [2]
% 7.38/1.53 % TRYING [3]
% 7.38/1.53 % TRYING [4]
% 7.38/1.53 % TRYING [5]
% 7.38/1.53 % TRYING [14]
% 7.38/1.53 % (1787781)Instruction limit reached!
% 7.38/1.53 % (1787781)------------------------------
% 7.38/1.53 % (1787781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.38/1.53 % (1787781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/1.53 % (1787781)CaDiCaL version: 2.1.3
% 7.38/1.53 % (1787781)Termination reason: Instruction limit
% 7.38/1.53 % (1787781)Termination phase: Finite model building constraint generation
% 7.38/1.53 % (1787781)Time elapsed: 0.407 s
% 7.38/1.53 % (1787781)Peak memory usage: 105 MB
% 7.38/1.53 % (1787781)Instructions burned: 891 (million)
% 7.38/1.53 % (1787862)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3824053224:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 7.38/1.53 % TRYING [20]
% 7.38/1.53 % (1787783)Instruction limit reached!
% 7.38/1.53 % (1787783)------------------------------
% 7.38/1.53 % (1787783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.38/1.53 % (1787783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/1.53 % (1787783)CaDiCaL version: 2.1.3
% 7.38/1.53 % (1787783)Termination reason: Instruction limit
% 7.38/1.53 % (1787783)Termination phase: Saturation
% 7.38/1.53 % (1787783)Time elapsed: 0.406 s
% 7.38/1.53 % (1787783)Peak memory usage: 18 MB
% 7.38/1.53 % (1787783)Instructions burned: 693 (million)
% 7.38/1.53 % (1787809)Instruction limit reached!
% 7.38/1.53 % (1787809)------------------------------
% 7.38/1.53 % (1787809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.38/1.53 % (1787809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/1.53 % (1787809)CaDiCaL version: 2.1.3
% 7.38/1.53 % (1787809)Termination reason: Instruction limit
% 7.38/1.53 % (1787809)Termination phase: Saturation
% 7.38/1.53 % (1787809)Time elapsed: 0.269 s
% 7.38/1.53 % (1787809)Peak memory usage: 19 MB
% 7.38/1.53 % (1787809)Instructions burned: 880 (million)
% 7.38/1.53 % (1787873)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1984905211:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 7.38/1.53 % TRYING [8]
% 7.38/1.53 % (1787878)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2558032800:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 7.38/1.53 % Finite Model Found!
% 7.38/1.53 % SZS status Satisfiable for theBenchmark
% 7.38/1.53 % (1787743) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1787738-1787743"...
% 7.38/1.53 % (1787743)...printing done.
% 7.38/1.53 % SZS output start FiniteModel for theBenchmark
% See solution above
% 7.38/1.54 % (1787743)------------------------------
% 7.38/1.54 % (1787743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.38/1.54 % (1787743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/1.54 % (1787743)CaDiCaL version: 2.1.3
% 7.38/1.54 % (1787743)Termination reason: Satisfiable
% 7.38/1.54 % (1787743)Time elapsed: 1.093 s
% 7.38/1.54 % (1787743)Peak memory usage: 25 MB
% 7.38/1.54 % (1787743)Instructions burned: 1806 (million)
% 7.38/1.54 % (1787738)Success in time 1.14 s
% 7.38/1.54 % Vampire exiting
%------------------------------------------------------------------------------