%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NLP124-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 12:08:58 PM UTC 2026
% Result : Satisfiable 0.15s 0.49s
% Output : FiniteModel 0.15s
% 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': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' )
| ( X = 'fmb_$i_3' ) ) ).
tff('distinct_domain_$i',axiom,
( ( 'fmb_$i_1' != 'fmb_$i_2' )
& ( 'fmb_$i_1' != 'fmb_$i_3' )
& ( 'fmb_$i_2' != 'fmb_$i_3' ) ) ).
tff(declare_true,type,
true: $i ).
tff(true_definition,axiom,
true = 'fmb_$i_1' ).
tff(declare_skc6,type,
skc6: $i ).
tff(skc6_definition,axiom,
skc6 = 'fmb_$i_1' ).
tff(declare_skc11,type,
skc11: $i ).
tff(skc11_definition,axiom,
skc11 = 'fmb_$i_1' ).
tff(declare_skc10,type,
skc10: $i ).
tff(skc10_definition,axiom,
skc10 = 'fmb_$i_1' ).
tff(declare_skc8,type,
skc8: $i ).
tff(skc8_definition,axiom,
skc8 = 'fmb_$i_1' ).
tff(declare_skc9,type,
skc9: $i ).
tff(skc9_definition,axiom,
skc9 = 'fmb_$i_2' ).
tff(declare_skc7,type,
skc7: $i ).
tff(skc7_definition,axiom,
skc7 = 'fmb_$i_3' ).
tff(declare_a,type,
a: $i ).
tff(a_definition,axiom,
a = 'fmb_$i_1' ).
tff(declare_b,type,
b: $i ).
tff(b_definition,axiom,
b = 'fmb_$i_2' ).
tff(declare_ifeq3,type,
ifeq3: ( $i * $i * $i * $i ) > $i ).
tff(function_ifeq3,axiom,
( ( ifeq3('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq3('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq3('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq3('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq3('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq3('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( ifeq3('fmb_$i_1','fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_1','fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_1','fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_1','fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_1','fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_1','fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_1','fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_1','fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_1','fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_1','fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_1','fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_1','fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_1','fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_1','fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_1','fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq3('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq3('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_2','fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_2','fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq3('fmb_$i_2','fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq3('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq3('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq3('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq3('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq3('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( ifeq3('fmb_$i_2','fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_2','fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_2','fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_2','fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_2','fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_2','fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_2','fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_2','fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_2','fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_2','fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_2','fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_2','fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_3','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq3('fmb_$i_3','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_3','fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_3','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq3('fmb_$i_3','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq3('fmb_$i_3','fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_3','fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq3('fmb_$i_3','fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq3('fmb_$i_3','fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_3','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_3','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_3','fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_3','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_3','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_3','fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_3','fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_3','fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_3','fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_3','fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq3('fmb_$i_3','fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq3('fmb_$i_3','fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq3('fmb_$i_3','fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq3('fmb_$i_3','fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq3('fmb_$i_3','fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( ifeq3('fmb_$i_3','fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_3','fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq3('fmb_$i_3','fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_ifeq2,type,
ifeq2: ( $i * $i * $i * $i ) > $i ).
tff(function_ifeq2,axiom,
( ( ifeq2('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq2('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq2('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq2('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq2('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq2('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( ifeq2('fmb_$i_1','fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_1','fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_1','fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_1','fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_1','fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_1','fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_1','fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_1','fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_1','fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_1','fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_1','fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_1','fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_1','fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_1','fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_1','fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq2('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_2','fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq2('fmb_$i_2','fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_2','fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq2('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq2('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq2('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq2('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq2('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( ifeq2('fmb_$i_2','fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_2','fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_2','fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_2','fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_2','fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_2','fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_2','fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_2','fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_2','fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_2','fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_2','fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_2','fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_3','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq2('fmb_$i_3','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_3','fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_3','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq2('fmb_$i_3','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_3','fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_3','fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq2('fmb_$i_3','fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_3','fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_3','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_3','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_3','fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_3','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_3','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_3','fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_3','fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_3','fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_3','fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_3','fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq2('fmb_$i_3','fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq2('fmb_$i_3','fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq2('fmb_$i_3','fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq2('fmb_$i_3','fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq2('fmb_$i_3','fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( ifeq2('fmb_$i_3','fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_3','fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq2('fmb_$i_3','fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
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_$i_2','fmb_$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_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_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq('fmb_$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_$i_2','fmb_$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_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_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq('fmb_$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_$i_2','fmb_$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_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' ) ) ).
tff(declare_barrel,type,
barrel: ( $i * $i ) > $i ).
tff(function_barrel,axiom,
( ( barrel('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( barrel('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( barrel('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( barrel('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( barrel('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( barrel('fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( barrel('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( barrel('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( barrel('fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' ) ) ).
tff(declare_event,type,
event: ( $i * $i ) > $i ).
tff(function_event,axiom,
( ( event('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( event('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( event('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( event('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( event('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( event('fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( event('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( event('fmb_$i_3','fmb_$i_2') = 'fmb_$i_2' )
& ( event('fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' ) ) ).
tff(declare_eventuality,type,
eventuality: ( $i * $i ) > $i ).
tff(function_eventuality,axiom,
( ( eventuality('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( eventuality('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( eventuality('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( eventuality('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( eventuality('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( eventuality('fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( eventuality('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( eventuality('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( eventuality('fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' ) ) ).
tff(declare_thing,type,
thing: ( $i * $i ) > $i ).
tff(function_thing,axiom,
( ( thing('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( thing('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( thing('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( thing('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( thing('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( thing('fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( thing('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( thing('fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( thing('fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' ) ) ).
tff(declare_singleton,type,
singleton: ( $i * $i ) > $i ).
tff(function_singleton,axiom,
( ( singleton('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( singleton('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( singleton('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( singleton('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( singleton('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( singleton('fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( singleton('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( singleton('fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( singleton('fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' ) ) ).
tff(declare_specific,type,
specific: ( $i * $i ) > $i ).
tff(function_specific,axiom,
( ( specific('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( specific('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( specific('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( specific('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( specific('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( specific('fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( specific('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( specific('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( specific('fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' ) ) ).
tff(declare_nonexistent,type,
nonexistent: ( $i * $i ) > $i ).
tff(function_nonexistent,axiom,
( ( nonexistent('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( nonexistent('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( nonexistent('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( nonexistent('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( nonexistent('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( nonexistent('fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( nonexistent('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( nonexistent('fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( nonexistent('fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' ) ) ).
tff(declare_unisex,type,
unisex: ( $i * $i ) > $i ).
tff(function_unisex,axiom,
( ( unisex('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( unisex('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( unisex('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( unisex('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( unisex('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( unisex('fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( unisex('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( unisex('fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( unisex('fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' ) ) ).
tff(declare_street,type,
street: ( $i * $i ) > $i ).
tff(function_street,axiom,
( ( street('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( street('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( street('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( street('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( street('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( street('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( street('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( street('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( street('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_way,type,
way: ( $i * $i ) > $i ).
tff(function_way,axiom,
( ( way('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( way('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( way('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( way('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( way('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( way('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( way('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( way('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( way('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_artifact,type,
artifact: ( $i * $i ) > $i ).
tff(function_artifact,axiom,
( ( artifact('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( artifact('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( artifact('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( artifact('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( artifact('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( artifact('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( artifact('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( artifact('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( artifact('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_object,type,
object: ( $i * $i ) > $i ).
tff(function_object,axiom,
( ( object('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( object('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( object('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( object('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( object('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( object('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( object('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( object('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( object('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_entity,type,
entity: ( $i * $i ) > $i ).
tff(function_entity,axiom,
( ( entity('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( entity('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( entity('fmb_$i_1','fmb_$i_3') = 'fmb_$i_2' )
& ( entity('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( entity('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( entity('fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( entity('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( entity('fmb_$i_3','fmb_$i_2') = 'fmb_$i_2' )
& ( entity('fmb_$i_3','fmb_$i_3') = 'fmb_$i_2' ) ) ).
tff(declare_existent,type,
existent: ( $i * $i ) > $i ).
tff(function_existent,axiom,
( ( existent('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( existent('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( existent('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( existent('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( existent('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( existent('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( existent('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( existent('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( existent('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_nonliving,type,
nonliving: ( $i * $i ) > $i ).
tff(function_nonliving,axiom,
( ( nonliving('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( nonliving('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( nonliving('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( nonliving('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( nonliving('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( nonliving('fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( nonliving('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( nonliving('fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( nonliving('fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' ) ) ).
tff(declare_impartial,type,
impartial: ( $i * $i ) > $i ).
tff(function_impartial,axiom,
( ( impartial('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( impartial('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( impartial('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( impartial('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( impartial('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( impartial('fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( impartial('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( impartial('fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( impartial('fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' ) ) ).
tff(declare_placename,type,
placename: ( $i * $i ) > $i ).
tff(function_placename,axiom,
( ( placename('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( placename('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( placename('fmb_$i_1','fmb_$i_3') = 'fmb_$i_2' )
& ( placename('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( placename('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( placename('fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( placename('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( placename('fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( placename('fmb_$i_3','fmb_$i_3') = 'fmb_$i_2' ) ) ).
tff(declare_relname,type,
relname: ( $i * $i ) > $i ).
tff(function_relname,axiom,
( ( relname('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( relname('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( relname('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( relname('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( relname('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( relname('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( relname('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( relname('fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( relname('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_relation,type,
relation: ( $i * $i ) > $i ).
tff(function_relation,axiom,
( ( relation('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( relation('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( relation('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( relation('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( relation('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( relation('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( relation('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( relation('fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( relation('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_abstraction,type,
abstraction: ( $i * $i ) > $i ).
tff(function_abstraction,axiom,
( ( abstraction('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( abstraction('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( abstraction('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( abstraction('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( abstraction('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( abstraction('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( abstraction('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( abstraction('fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( abstraction('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_nonhuman,type,
nonhuman: ( $i * $i ) > $i ).
tff(function_nonhuman,axiom,
( ( nonhuman('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( nonhuman('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( nonhuman('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( nonhuman('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( nonhuman('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( nonhuman('fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( nonhuman('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( nonhuman('fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( nonhuman('fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' ) ) ).
tff(declare_general,type,
general: ( $i * $i ) > $i ).
tff(function_general,axiom,
( ( general('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( general('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( general('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( general('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( general('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( general('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( general('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( general('fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( general('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_hollywood_placename,type,
hollywood_placename: ( $i * $i ) > $i ).
tff(function_hollywood_placename,axiom,
( ( hollywood_placename('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( hollywood_placename('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( hollywood_placename('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( hollywood_placename('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( hollywood_placename('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( hollywood_placename('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( hollywood_placename('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( hollywood_placename('fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( hollywood_placename('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_city,type,
city: ( $i * $i ) > $i ).
tff(function_city,axiom,
( ( city('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( city('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( city('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( city('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( city('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( city('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( city('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( city('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( city('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_location,type,
location: ( $i * $i ) > $i ).
tff(function_location,axiom,
( ( location('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( location('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( location('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( location('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( location('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( location('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( location('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( location('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( location('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_chevy,type,
chevy: ( $i * $i ) > $i ).
tff(function_chevy,axiom,
( ( chevy('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( chevy('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( chevy('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( chevy('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( chevy('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( chevy('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( chevy('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( chevy('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( chevy('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_car,type,
car: ( $i * $i ) > $i ).
tff(function_car,axiom,
( ( car('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( car('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( car('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( car('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( car('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( car('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( car('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( car('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( car('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_vehicle,type,
vehicle: ( $i * $i ) > $i ).
tff(function_vehicle,axiom,
( ( vehicle('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( vehicle('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( vehicle('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( vehicle('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( vehicle('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( vehicle('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( vehicle('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( vehicle('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( vehicle('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_transport,type,
transport: ( $i * $i ) > $i ).
tff(function_transport,axiom,
( ( transport('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( transport('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( transport('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( transport('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( transport('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( transport('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( transport('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( transport('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( transport('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_instrumentality,type,
instrumentality: ( $i * $i ) > $i ).
tff(function_instrumentality,axiom,
( ( instrumentality('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( instrumentality('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( instrumentality('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( instrumentality('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( instrumentality('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( instrumentality('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( instrumentality('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( instrumentality('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( instrumentality('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_of,type,
of: ( $i * $i * $i ) > $i ).
tff(function_of,axiom,
( ( of('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( of('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( of('fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( of('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( of('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( of('fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( of('fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( of('fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( of('fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( of('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( of('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( of('fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( of('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( of('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( of('fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( of('fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( of('fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( of('fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( of('fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( of('fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( of('fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( of('fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( of('fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( of('fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( of('fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( of('fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( of('fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' ) ) ).
tff(declare_actual_world,type,
actual_world: $i > $i ).
tff(function_actual_world,axiom,
( ( actual_world('fmb_$i_1') = 'fmb_$i_1' )
& ( actual_world('fmb_$i_2') = 'fmb_$i_1' )
& ( actual_world('fmb_$i_3') = 'fmb_$i_1' ) ) ).
tff(declare_old,type,
old: ( $i * $i ) > $i ).
tff(function_old,axiom,
( ( old('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( old('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( old('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( old('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( old('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( old('fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( old('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( old('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( old('fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' ) ) ).
tff(declare_dirty,type,
dirty: ( $i * $i ) > $i ).
tff(function_dirty,axiom,
( ( dirty('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( dirty('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( dirty('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( dirty('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( dirty('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( dirty('fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( dirty('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( dirty('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( dirty('fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' ) ) ).
tff(declare_white,type,
white: ( $i * $i ) > $i ).
tff(function_white,axiom,
( ( white('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( white('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( white('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( white('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( white('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( white('fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( white('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( white('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( white('fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' ) ) ).
tff(declare_present,type,
present: ( $i * $i ) > $i ).
tff(function_present,axiom,
( ( present('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( present('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( present('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( present('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( present('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( present('fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( present('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( present('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( present('fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' ) ) ).
tff(declare_lonely,type,
lonely: ( $i * $i ) > $i ).
tff(function_lonely,axiom,
( ( lonely('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( lonely('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( lonely('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( lonely('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( lonely('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( lonely('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( lonely('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( lonely('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( lonely('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_in,type,
in: ( $i * $i * $i ) > $i ).
tff(function_in,axiom,
( ( in('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( in('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( in('fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( in('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( in('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( in('fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( in('fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( in('fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( in('fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( in('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( in('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( in('fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( in('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( in('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( in('fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( in('fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( in('fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( in('fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( in('fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( in('fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( in('fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( in('fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( in('fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( in('fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( in('fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( in('fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( in('fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_agent,type,
agent: ( $i * $i * $i ) > $i ).
tff(function_agent,axiom,
( ( agent('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( agent('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( agent('fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( agent('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( agent('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( agent('fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( agent('fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( agent('fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( agent('fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( agent('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( agent('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( agent('fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( agent('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( agent('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( agent('fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( agent('fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( agent('fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( agent('fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( agent('fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( agent('fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( agent('fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( agent('fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( agent('fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( agent('fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( agent('fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( agent('fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( agent('fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' ) ) ).
tff(declare_down,type,
down: ( $i * $i * $i ) > $i ).
tff(function_down,axiom,
( ( down('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( down('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( down('fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( down('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( down('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( down('fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( down('fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( down('fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( down('fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( down('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( down('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( down('fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( down('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( down('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( down('fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( down('fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( down('fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( down('fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( down('fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( down('fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( down('fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( down('fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( down('fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( down('fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( down('fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( down('fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( down('fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_tuple,type,
tuple: ( $i * $i ) > $i ).
tff(function_tuple,axiom,
( ( tuple('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( tuple('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( tuple('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( tuple('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( tuple('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( tuple('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( tuple('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( tuple('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( tuple('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NLP124-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 % Computer : n009.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 18:06:45 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.10/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.43 Running first-order model finding
% 0.10/0.43 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
% 0.15/0.49 % (2295704)Will run a generic schedule for satisfiability detection.
% 0.15/0.49 % (2295709)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4165732329_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.49 % (2295710)% WARNING: option uhcvi not known.
% 0.15/0.49 % TRYING [1]
% 0.15/0.49 % TRYING [2]
% 0.15/0.49 % TRYING [3]
% 0.15/0.49 % (2295710)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2641911659:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.49 % (2295711)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2594135754:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.49 % (2295712)dis+10_1_sil=32000:sp=arity:random_seed=1017632063:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.49 % (2295713)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1221167857:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.49 % (2295714)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1179348076:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.49 % (2295715)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=763472046:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.49 % Finite Model Found!
% 0.15/0.49 % SZS status Satisfiable for theBenchmark
% 0.15/0.49 % (2295709) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2295704-2295709"...
% 0.15/0.49 % (2295713) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2295704-2295713"...
% 0.15/0.49 % (2295714) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2295704-2295714"...
% 0.15/0.49 % (2295709)...printing done.
% 0.15/0.49 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.15/0.49 % (2295709)------------------------------
% 0.15/0.49 % (2295709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.49 % (2295709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.49 % (2295709)CaDiCaL version: 2.1.3
% 0.15/0.49 % (2295709)Termination reason: Satisfiable
% 0.15/0.49 % (2295709)Time elapsed: 0.023 s
% 0.15/0.49 % (2295709)Peak memory usage: 14 MB
% 0.15/0.49 % (2295709)Instructions burned: 99 (million)
% 0.15/0.49 % (2295704)Success in time 0.051 s
% 0.15/0.49 % Vampire exiting
%------------------------------------------------------------------------------