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Vampire-SAT---5.0.1.CSA-FMo.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : NLP023+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n005.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 12:08:29 PM UTC 2026

% Result   : CounterSatisfiable 0.18s 0.47s
% Output   : FiniteModel 0.18s
% 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_woman,type,
    woman: ( $i * $i ) > $o ).

tff(predicate_woman,axiom,
    ( ~ woman('fmb_$i_1','fmb_$i_1')
    & woman('fmb_$i_1','fmb_$i_2')
    & ~ woman('fmb_$i_1','fmb_$i_3')
    & ~ woman('fmb_$i_2','fmb_$i_1')
    & ~ woman('fmb_$i_2','fmb_$i_2')
    & ~ woman('fmb_$i_2','fmb_$i_3')
    & ~ woman('fmb_$i_3','fmb_$i_1')
    & woman('fmb_$i_3','fmb_$i_2')
    & ~ woman('fmb_$i_3','fmb_$i_3') ) ).

tff(declare_female,type,
    female: ( $i * $i ) > $o ).

tff(predicate_female,axiom,
    ( ~ female('fmb_$i_1','fmb_$i_1')
    & female('fmb_$i_1','fmb_$i_2')
    & ~ female('fmb_$i_1','fmb_$i_3')
    & female('fmb_$i_2','fmb_$i_1')
    & female('fmb_$i_2','fmb_$i_2')
    & female('fmb_$i_2','fmb_$i_3')
    & ~ female('fmb_$i_3','fmb_$i_1')
    & female('fmb_$i_3','fmb_$i_2')
    & ~ female('fmb_$i_3','fmb_$i_3') ) ).

tff(declare_human_person,type,
    human_person: ( $i * $i ) > $o ).

tff(predicate_human_person,axiom,
    ( ~ human_person('fmb_$i_1','fmb_$i_1')
    & human_person('fmb_$i_1','fmb_$i_2')
    & ~ human_person('fmb_$i_1','fmb_$i_3')
    & human_person('fmb_$i_2','fmb_$i_1')
    & human_person('fmb_$i_2','fmb_$i_2')
    & human_person('fmb_$i_2','fmb_$i_3')
    & ~ human_person('fmb_$i_3','fmb_$i_1')
    & human_person('fmb_$i_3','fmb_$i_2')
    & ~ human_person('fmb_$i_3','fmb_$i_3') ) ).

tff(declare_animate,type,
    animate: ( $i * $i ) > $o ).

tff(predicate_animate,axiom,
    ( ~ animate('fmb_$i_1','fmb_$i_1')
    & animate('fmb_$i_1','fmb_$i_2')
    & ~ animate('fmb_$i_1','fmb_$i_3')
    & animate('fmb_$i_2','fmb_$i_1')
    & animate('fmb_$i_2','fmb_$i_2')
    & animate('fmb_$i_2','fmb_$i_3')
    & ~ animate('fmb_$i_3','fmb_$i_1')
    & animate('fmb_$i_3','fmb_$i_2')
    & ~ animate('fmb_$i_3','fmb_$i_3') ) ).

tff(declare_human,type,
    human: ( $i * $i ) > $o ).

tff(predicate_human,axiom,
    ( human('fmb_$i_1','fmb_$i_1')
    & human('fmb_$i_1','fmb_$i_2')
    & ~ human('fmb_$i_1','fmb_$i_3')
    & human('fmb_$i_2','fmb_$i_1')
    & human('fmb_$i_2','fmb_$i_2')
    & human('fmb_$i_2','fmb_$i_3')
    & human('fmb_$i_3','fmb_$i_1')
    & human('fmb_$i_3','fmb_$i_2')
    & ~ human('fmb_$i_3','fmb_$i_3') ) ).

tff(declare_organism,type,
    organism: ( $i * $i ) > $o ).

tff(predicate_organism,axiom,
    ( ~ organism('fmb_$i_1','fmb_$i_1')
    & organism('fmb_$i_1','fmb_$i_2')
    & ~ organism('fmb_$i_1','fmb_$i_3')
    & organism('fmb_$i_2','fmb_$i_1')
    & organism('fmb_$i_2','fmb_$i_2')
    & organism('fmb_$i_2','fmb_$i_3')
    & ~ organism('fmb_$i_3','fmb_$i_1')
    & organism('fmb_$i_3','fmb_$i_2')
    & ~ organism('fmb_$i_3','fmb_$i_3') ) ).

tff(declare_living,type,
    living: ( $i * $i ) > $o ).

tff(predicate_living,axiom,
    ( ~ living('fmb_$i_1','fmb_$i_1')
    & living('fmb_$i_1','fmb_$i_2')
    & ~ living('fmb_$i_1','fmb_$i_3')
    & living('fmb_$i_2','fmb_$i_1')
    & living('fmb_$i_2','fmb_$i_2')
    & living('fmb_$i_2','fmb_$i_3')
    & ~ living('fmb_$i_3','fmb_$i_1')
    & living('fmb_$i_3','fmb_$i_2')
    & ~ living('fmb_$i_3','fmb_$i_3') ) ).

tff(declare_impartial,type,
    impartial: ( $i * $i ) > $o ).

tff(predicate_impartial,axiom,
    ( impartial('fmb_$i_1','fmb_$i_1')
    & impartial('fmb_$i_1','fmb_$i_2')
    & impartial('fmb_$i_1','fmb_$i_3')
    & impartial('fmb_$i_2','fmb_$i_1')
    & impartial('fmb_$i_2','fmb_$i_2')
    & impartial('fmb_$i_2','fmb_$i_3')
    & impartial('fmb_$i_3','fmb_$i_1')
    & impartial('fmb_$i_3','fmb_$i_2')
    & impartial('fmb_$i_3','fmb_$i_3') ) ).

tff(declare_entity,type,
    entity: ( $i * $i ) > $o ).

tff(predicate_entity,axiom,
    ( ~ entity('fmb_$i_1','fmb_$i_1')
    & entity('fmb_$i_1','fmb_$i_2')
    & ~ entity('fmb_$i_1','fmb_$i_3')
    & entity('fmb_$i_2','fmb_$i_1')
    & entity('fmb_$i_2','fmb_$i_2')
    & entity('fmb_$i_2','fmb_$i_3')
    & ~ entity('fmb_$i_3','fmb_$i_1')
    & entity('fmb_$i_3','fmb_$i_2')
    & ~ entity('fmb_$i_3','fmb_$i_3') ) ).

tff(declare_existent,type,
    existent: ( $i * $i ) > $o ).

tff(predicate_existent,axiom,
    ( ~ existent('fmb_$i_1','fmb_$i_1')
    & existent('fmb_$i_1','fmb_$i_2')
    & existent('fmb_$i_1','fmb_$i_3')
    & existent('fmb_$i_2','fmb_$i_1')
    & existent('fmb_$i_2','fmb_$i_2')
    & existent('fmb_$i_2','fmb_$i_3')
    & ~ existent('fmb_$i_3','fmb_$i_1')
    & existent('fmb_$i_3','fmb_$i_2')
    & existent('fmb_$i_3','fmb_$i_3') ) ).

tff(declare_specific,type,
    specific: ( $i * $i ) > $o ).

tff(predicate_specific,axiom,
    ( specific('fmb_$i_1','fmb_$i_1')
    & specific('fmb_$i_1','fmb_$i_2')
    & ~ specific('fmb_$i_1','fmb_$i_3')
    & specific('fmb_$i_2','fmb_$i_1')
    & specific('fmb_$i_2','fmb_$i_2')
    & specific('fmb_$i_2','fmb_$i_3')
    & specific('fmb_$i_3','fmb_$i_1')
    & specific('fmb_$i_3','fmb_$i_2')
    & ~ specific('fmb_$i_3','fmb_$i_3') ) ).

tff(declare_thing,type,
    thing: ( $i * $i ) > $o ).

tff(predicate_thing,axiom,
    ( thing('fmb_$i_1','fmb_$i_1')
    & thing('fmb_$i_1','fmb_$i_2')
    & thing('fmb_$i_1','fmb_$i_3')
    & thing('fmb_$i_2','fmb_$i_1')
    & thing('fmb_$i_2','fmb_$i_2')
    & thing('fmb_$i_2','fmb_$i_3')
    & thing('fmb_$i_3','fmb_$i_1')
    & thing('fmb_$i_3','fmb_$i_2')
    & thing('fmb_$i_3','fmb_$i_3') ) ).

tff(declare_mia_forename,type,
    mia_forename: ( $i * $i ) > $o ).

tff(predicate_mia_forename,axiom,
    ( ~ mia_forename('fmb_$i_1','fmb_$i_1')
    & ~ mia_forename('fmb_$i_1','fmb_$i_2')
    & mia_forename('fmb_$i_1','fmb_$i_3')
    & ~ mia_forename('fmb_$i_2','fmb_$i_1')
    & ~ mia_forename('fmb_$i_2','fmb_$i_2')
    & ~ mia_forename('fmb_$i_2','fmb_$i_3')
    & ~ mia_forename('fmb_$i_3','fmb_$i_1')
    & ~ mia_forename('fmb_$i_3','fmb_$i_2')
    & mia_forename('fmb_$i_3','fmb_$i_3') ) ).

tff(declare_forename,type,
    forename: ( $i * $i ) > $o ).

tff(predicate_forename,axiom,
    ( ~ forename('fmb_$i_1','fmb_$i_1')
    & ~ forename('fmb_$i_1','fmb_$i_2')
    & forename('fmb_$i_1','fmb_$i_3')
    & ~ forename('fmb_$i_2','fmb_$i_1')
    & ~ forename('fmb_$i_2','fmb_$i_2')
    & ~ forename('fmb_$i_2','fmb_$i_3')
    & ~ forename('fmb_$i_3','fmb_$i_1')
    & ~ forename('fmb_$i_3','fmb_$i_2')
    & forename('fmb_$i_3','fmb_$i_3') ) ).

tff(declare_relname,type,
    relname: ( $i * $i ) > $o ).

tff(predicate_relname,axiom,
    ( ~ relname('fmb_$i_1','fmb_$i_1')
    & ~ relname('fmb_$i_1','fmb_$i_2')
    & relname('fmb_$i_1','fmb_$i_3')
    & ~ relname('fmb_$i_2','fmb_$i_1')
    & ~ relname('fmb_$i_2','fmb_$i_2')
    & ~ relname('fmb_$i_2','fmb_$i_3')
    & ~ relname('fmb_$i_3','fmb_$i_1')
    & ~ relname('fmb_$i_3','fmb_$i_2')
    & relname('fmb_$i_3','fmb_$i_3') ) ).

tff(declare_relation,type,
    relation: ( $i * $i ) > $o ).

tff(predicate_relation,axiom,
    ( ~ relation('fmb_$i_1','fmb_$i_1')
    & ~ relation('fmb_$i_1','fmb_$i_2')
    & relation('fmb_$i_1','fmb_$i_3')
    & ~ relation('fmb_$i_2','fmb_$i_1')
    & ~ relation('fmb_$i_2','fmb_$i_2')
    & ~ relation('fmb_$i_2','fmb_$i_3')
    & ~ relation('fmb_$i_3','fmb_$i_1')
    & ~ relation('fmb_$i_3','fmb_$i_2')
    & relation('fmb_$i_3','fmb_$i_3') ) ).

tff(declare_abstraction,type,
    abstraction: ( $i * $i ) > $o ).

tff(predicate_abstraction,axiom,
    ( ~ abstraction('fmb_$i_1','fmb_$i_1')
    & ~ abstraction('fmb_$i_1','fmb_$i_2')
    & abstraction('fmb_$i_1','fmb_$i_3')
    & ~ abstraction('fmb_$i_2','fmb_$i_1')
    & ~ abstraction('fmb_$i_2','fmb_$i_2')
    & ~ abstraction('fmb_$i_2','fmb_$i_3')
    & ~ abstraction('fmb_$i_3','fmb_$i_1')
    & ~ abstraction('fmb_$i_3','fmb_$i_2')
    & abstraction('fmb_$i_3','fmb_$i_3') ) ).

tff(declare_unisex,type,
    unisex: ( $i * $i ) > $o ).

tff(predicate_unisex,axiom,
    ( unisex('fmb_$i_1','fmb_$i_1')
    & ~ unisex('fmb_$i_1','fmb_$i_2')
    & unisex('fmb_$i_1','fmb_$i_3')
    & ~ unisex('fmb_$i_2','fmb_$i_1')
    & ~ unisex('fmb_$i_2','fmb_$i_2')
    & ~ unisex('fmb_$i_2','fmb_$i_3')
    & unisex('fmb_$i_3','fmb_$i_1')
    & ~ unisex('fmb_$i_3','fmb_$i_2')
    & unisex('fmb_$i_3','fmb_$i_3') ) ).

tff(declare_general,type,
    general: ( $i * $i ) > $o ).

tff(predicate_general,axiom,
    ( ~ general('fmb_$i_1','fmb_$i_1')
    & ~ general('fmb_$i_1','fmb_$i_2')
    & general('fmb_$i_1','fmb_$i_3')
    & ~ general('fmb_$i_2','fmb_$i_1')
    & ~ general('fmb_$i_2','fmb_$i_2')
    & ~ general('fmb_$i_2','fmb_$i_3')
    & ~ general('fmb_$i_3','fmb_$i_1')
    & ~ general('fmb_$i_3','fmb_$i_2')
    & general('fmb_$i_3','fmb_$i_3') ) ).

tff(declare_nonhuman,type,
    nonhuman: ( $i * $i ) > $o ).

tff(predicate_nonhuman,axiom,
    ( ~ nonhuman('fmb_$i_1','fmb_$i_1')
    & ~ nonhuman('fmb_$i_1','fmb_$i_2')
    & nonhuman('fmb_$i_1','fmb_$i_3')
    & ~ nonhuman('fmb_$i_2','fmb_$i_1')
    & ~ nonhuman('fmb_$i_2','fmb_$i_2')
    & ~ nonhuman('fmb_$i_2','fmb_$i_3')
    & ~ nonhuman('fmb_$i_3','fmb_$i_1')
    & ~ nonhuman('fmb_$i_3','fmb_$i_2')
    & nonhuman('fmb_$i_3','fmb_$i_3') ) ).

tff(declare_proposition,type,
    proposition: ( $i * $i ) > $o ).

tff(predicate_proposition,axiom,
    ( ~ proposition('fmb_$i_1','fmb_$i_1')
    & ~ proposition('fmb_$i_1','fmb_$i_2')
    & proposition('fmb_$i_1','fmb_$i_3')
    & ~ proposition('fmb_$i_2','fmb_$i_1')
    & ~ proposition('fmb_$i_2','fmb_$i_2')
    & ~ proposition('fmb_$i_2','fmb_$i_3')
    & ~ proposition('fmb_$i_3','fmb_$i_1')
    & ~ proposition('fmb_$i_3','fmb_$i_2')
    & proposition('fmb_$i_3','fmb_$i_3') ) ).

tff(declare_desire_want,type,
    desire_want: ( $i * $i ) > $o ).

tff(predicate_desire_want,axiom,
    ( desire_want('fmb_$i_1','fmb_$i_1')
    & ~ desire_want('fmb_$i_1','fmb_$i_2')
    & ~ desire_want('fmb_$i_1','fmb_$i_3')
    & ~ desire_want('fmb_$i_2','fmb_$i_1')
    & ~ desire_want('fmb_$i_2','fmb_$i_2')
    & ~ desire_want('fmb_$i_2','fmb_$i_3')
    & desire_want('fmb_$i_3','fmb_$i_1')
    & ~ desire_want('fmb_$i_3','fmb_$i_2')
    & ~ desire_want('fmb_$i_3','fmb_$i_3') ) ).

tff(declare_event,type,
    event: ( $i * $i ) > $o ).

tff(predicate_event,axiom,
    ( event('fmb_$i_1','fmb_$i_1')
    & ~ event('fmb_$i_1','fmb_$i_2')
    & ~ event('fmb_$i_1','fmb_$i_3')
    & ~ event('fmb_$i_2','fmb_$i_1')
    & ~ event('fmb_$i_2','fmb_$i_2')
    & ~ event('fmb_$i_2','fmb_$i_3')
    & event('fmb_$i_3','fmb_$i_1')
    & ~ event('fmb_$i_3','fmb_$i_2')
    & ~ event('fmb_$i_3','fmb_$i_3') ) ).

tff(declare_eventuality,type,
    eventuality: ( $i * $i ) > $o ).

tff(predicate_eventuality,axiom,
    ( eventuality('fmb_$i_1','fmb_$i_1')
    & ~ eventuality('fmb_$i_1','fmb_$i_2')
    & ~ eventuality('fmb_$i_1','fmb_$i_3')
    & ~ eventuality('fmb_$i_2','fmb_$i_1')
    & ~ eventuality('fmb_$i_2','fmb_$i_2')
    & ~ eventuality('fmb_$i_2','fmb_$i_3')
    & eventuality('fmb_$i_3','fmb_$i_1')
    & ~ eventuality('fmb_$i_3','fmb_$i_2')
    & ~ eventuality('fmb_$i_3','fmb_$i_3') ) ).

tff(declare_nonexistent,type,
    nonexistent: ( $i * $i ) > $o ).

tff(predicate_nonexistent,axiom,
    ( nonexistent('fmb_$i_1','fmb_$i_1')
    & ~ nonexistent('fmb_$i_1','fmb_$i_2')
    & ~ nonexistent('fmb_$i_1','fmb_$i_3')
    & ~ nonexistent('fmb_$i_2','fmb_$i_1')
    & ~ nonexistent('fmb_$i_2','fmb_$i_2')
    & ~ nonexistent('fmb_$i_2','fmb_$i_3')
    & nonexistent('fmb_$i_3','fmb_$i_1')
    & ~ nonexistent('fmb_$i_3','fmb_$i_2')
    & ~ nonexistent('fmb_$i_3','fmb_$i_3') ) ).

tff(declare_singleton,type,
    singleton: ( $i * $i ) > $o ).

tff(predicate_singleton,axiom,
    ( singleton('fmb_$i_1','fmb_$i_1')
    & singleton('fmb_$i_1','fmb_$i_2')
    & singleton('fmb_$i_1','fmb_$i_3')
    & singleton('fmb_$i_2','fmb_$i_1')
    & singleton('fmb_$i_2','fmb_$i_2')
    & singleton('fmb_$i_2','fmb_$i_3')
    & singleton('fmb_$i_3','fmb_$i_1')
    & singleton('fmb_$i_3','fmb_$i_2')
    & singleton('fmb_$i_3','fmb_$i_3') ) ).

tff(declare_dance,type,
    dance: ( $i * $i ) > $o ).

tff(predicate_dance,axiom,
    ( dance('fmb_$i_1','fmb_$i_1')
    & ~ dance('fmb_$i_1','fmb_$i_2')
    & ~ dance('fmb_$i_1','fmb_$i_3')
    & ~ dance('fmb_$i_2','fmb_$i_1')
    & ~ dance('fmb_$i_2','fmb_$i_2')
    & ~ dance('fmb_$i_2','fmb_$i_3')
    & dance('fmb_$i_3','fmb_$i_1')
    & ~ dance('fmb_$i_3','fmb_$i_2')
    & ~ dance('fmb_$i_3','fmb_$i_3') ) ).

tff(declare_accessible_world,type,
    accessible_world: ( $i * $i ) > $o ).

tff(predicate_accessible_world,axiom,
    ( ~ accessible_world('fmb_$i_1','fmb_$i_1')
    & ~ accessible_world('fmb_$i_1','fmb_$i_2')
    & accessible_world('fmb_$i_1','fmb_$i_3')
    & ~ accessible_world('fmb_$i_2','fmb_$i_1')
    & ~ accessible_world('fmb_$i_2','fmb_$i_2')
    & ~ accessible_world('fmb_$i_2','fmb_$i_3')
    & ~ accessible_world('fmb_$i_3','fmb_$i_1')
    & ~ accessible_world('fmb_$i_3','fmb_$i_2')
    & ~ accessible_world('fmb_$i_3','fmb_$i_3') ) ).

tff(declare_of,type,
    of: ( $i * $i * $i ) > $o ).

tff(predicate_of,axiom,
    ( ~ of('fmb_$i_1','fmb_$i_1','fmb_$i_1')
    & ~ of('fmb_$i_1','fmb_$i_1','fmb_$i_2')
    & ~ of('fmb_$i_1','fmb_$i_1','fmb_$i_3')
    & ~ of('fmb_$i_1','fmb_$i_2','fmb_$i_1')
    & ~ of('fmb_$i_1','fmb_$i_2','fmb_$i_2')
    & ~ of('fmb_$i_1','fmb_$i_2','fmb_$i_3')
    & ~ of('fmb_$i_1','fmb_$i_3','fmb_$i_1')
    & of('fmb_$i_1','fmb_$i_3','fmb_$i_2')
    & ~ of('fmb_$i_1','fmb_$i_3','fmb_$i_3')
    & ~ of('fmb_$i_2','fmb_$i_1','fmb_$i_1')
    & ~ of('fmb_$i_2','fmb_$i_1','fmb_$i_2')
    & ~ of('fmb_$i_2','fmb_$i_1','fmb_$i_3')
    & ~ of('fmb_$i_2','fmb_$i_2','fmb_$i_1')
    & ~ of('fmb_$i_2','fmb_$i_2','fmb_$i_2')
    & ~ of('fmb_$i_2','fmb_$i_2','fmb_$i_3')
    & ~ of('fmb_$i_2','fmb_$i_3','fmb_$i_1')
    & ~ of('fmb_$i_2','fmb_$i_3','fmb_$i_2')
    & ~ of('fmb_$i_2','fmb_$i_3','fmb_$i_3')
    & ~ of('fmb_$i_3','fmb_$i_1','fmb_$i_1')
    & ~ of('fmb_$i_3','fmb_$i_1','fmb_$i_2')
    & ~ of('fmb_$i_3','fmb_$i_1','fmb_$i_3')
    & ~ of('fmb_$i_3','fmb_$i_2','fmb_$i_1')
    & ~ of('fmb_$i_3','fmb_$i_2','fmb_$i_2')
    & ~ of('fmb_$i_3','fmb_$i_2','fmb_$i_3')
    & ~ of('fmb_$i_3','fmb_$i_3','fmb_$i_1')
    & of('fmb_$i_3','fmb_$i_3','fmb_$i_2')
    & ~ of('fmb_$i_3','fmb_$i_3','fmb_$i_3') ) ).

tff(declare_theme,type,
    theme: ( $i * $i * $i ) > $o ).

tff(predicate_theme,axiom,
    ( theme('fmb_$i_1','fmb_$i_1','fmb_$i_1')
    & theme('fmb_$i_1','fmb_$i_1','fmb_$i_2')
    & theme('fmb_$i_1','fmb_$i_1','fmb_$i_3')
    & theme('fmb_$i_1','fmb_$i_2','fmb_$i_1')
    & theme('fmb_$i_1','fmb_$i_2','fmb_$i_2')
    & theme('fmb_$i_1','fmb_$i_2','fmb_$i_3')
    & theme('fmb_$i_1','fmb_$i_3','fmb_$i_1')
    & theme('fmb_$i_1','fmb_$i_3','fmb_$i_2')
    & theme('fmb_$i_1','fmb_$i_3','fmb_$i_3')
    & theme('fmb_$i_2','fmb_$i_1','fmb_$i_1')
    & theme('fmb_$i_2','fmb_$i_1','fmb_$i_2')
    & theme('fmb_$i_2','fmb_$i_1','fmb_$i_3')
    & theme('fmb_$i_2','fmb_$i_2','fmb_$i_1')
    & theme('fmb_$i_2','fmb_$i_2','fmb_$i_2')
    & theme('fmb_$i_2','fmb_$i_2','fmb_$i_3')
    & theme('fmb_$i_2','fmb_$i_3','fmb_$i_1')
    & theme('fmb_$i_2','fmb_$i_3','fmb_$i_2')
    & theme('fmb_$i_2','fmb_$i_3','fmb_$i_3')
    & theme('fmb_$i_3','fmb_$i_1','fmb_$i_1')
    & theme('fmb_$i_3','fmb_$i_1','fmb_$i_2')
    & theme('fmb_$i_3','fmb_$i_1','fmb_$i_3')
    & theme('fmb_$i_3','fmb_$i_2','fmb_$i_1')
    & theme('fmb_$i_3','fmb_$i_2','fmb_$i_2')
    & theme('fmb_$i_3','fmb_$i_2','fmb_$i_3')
    & theme('fmb_$i_3','fmb_$i_3','fmb_$i_1')
    & theme('fmb_$i_3','fmb_$i_3','fmb_$i_2')
    & theme('fmb_$i_3','fmb_$i_3','fmb_$i_3') ) ).

tff(declare_agent,type,
    agent: ( $i * $i * $i ) > $o ).

tff(predicate_agent,axiom,
    ( ~ agent('fmb_$i_1','fmb_$i_1','fmb_$i_1')
    & agent('fmb_$i_1','fmb_$i_1','fmb_$i_2')
    & ~ agent('fmb_$i_1','fmb_$i_1','fmb_$i_3')
    & ~ agent('fmb_$i_1','fmb_$i_2','fmb_$i_1')
    & ~ agent('fmb_$i_1','fmb_$i_2','fmb_$i_2')
    & ~ agent('fmb_$i_1','fmb_$i_2','fmb_$i_3')
    & ~ agent('fmb_$i_1','fmb_$i_3','fmb_$i_1')
    & ~ agent('fmb_$i_1','fmb_$i_3','fmb_$i_2')
    & ~ agent('fmb_$i_1','fmb_$i_3','fmb_$i_3')
    & ~ agent('fmb_$i_2','fmb_$i_1','fmb_$i_1')
    & ~ agent('fmb_$i_2','fmb_$i_1','fmb_$i_2')
    & ~ agent('fmb_$i_2','fmb_$i_1','fmb_$i_3')
    & ~ agent('fmb_$i_2','fmb_$i_2','fmb_$i_1')
    & ~ agent('fmb_$i_2','fmb_$i_2','fmb_$i_2')
    & ~ agent('fmb_$i_2','fmb_$i_2','fmb_$i_3')
    & ~ agent('fmb_$i_2','fmb_$i_3','fmb_$i_1')
    & ~ agent('fmb_$i_2','fmb_$i_3','fmb_$i_2')
    & ~ agent('fmb_$i_2','fmb_$i_3','fmb_$i_3')
    & ~ agent('fmb_$i_3','fmb_$i_1','fmb_$i_1')
    & agent('fmb_$i_3','fmb_$i_1','fmb_$i_2')
    & ~ agent('fmb_$i_3','fmb_$i_1','fmb_$i_3')
    & ~ agent('fmb_$i_3','fmb_$i_2','fmb_$i_1')
    & ~ agent('fmb_$i_3','fmb_$i_2','fmb_$i_2')
    & ~ agent('fmb_$i_3','fmb_$i_2','fmb_$i_3')
    & ~ agent('fmb_$i_3','fmb_$i_3','fmb_$i_1')
    & ~ agent('fmb_$i_3','fmb_$i_3','fmb_$i_2')
    & ~ agent('fmb_$i_3','fmb_$i_3','fmb_$i_3') ) ).

tff(declare_present,type,
    present: ( $i * $i ) > $o ).

tff(predicate_present,axiom,
    ( present('fmb_$i_1','fmb_$i_1')
    & present('fmb_$i_1','fmb_$i_2')
    & present('fmb_$i_1','fmb_$i_3')
    & present('fmb_$i_2','fmb_$i_1')
    & present('fmb_$i_2','fmb_$i_2')
    & present('fmb_$i_2','fmb_$i_3')
    & present('fmb_$i_3','fmb_$i_1')
    & present('fmb_$i_3','fmb_$i_2')
    & present('fmb_$i_3','fmb_$i_3') ) ).

tff(declare_actual_world,type,
    actual_world: $i > $o ).

tff(predicate_actual_world,axiom,
    ( actual_world('fmb_$i_1')
    & actual_world('fmb_$i_2')
    & actual_world('fmb_$i_3') ) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NLP023+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38  % Computer : n005.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sun Sep 27 17:48:47 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42  Running first-order model finding
% 0.12/0.42  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
% 0.18/0.47  % (56934)Will run a generic schedule for satisfiability detection.
% 0.18/0.47  % (56939)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=710600793_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.47  % Detected minimum model sizes of [1]
% 0.18/0.47  % Detected maximum model sizes of [6]
% 0.18/0.47  % TRYING [1]
% 0.18/0.47  % TRYING [2]
% 0.18/0.47  % (56940)% WARNING: option uhcvi not known.
% 0.18/0.47  % TRYING [3]
% 0.18/0.47  % Finite Model Found!
% 0.18/0.47  % SZS status CounterSatisfiable for theBenchmark
% 0.18/0.47  % (56939) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-56934-56939"...
% 0.18/0.47  % (56939)...printing done.
% 0.18/0.47  % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.18/0.47  % (56939)------------------------------
% 0.18/0.47  % (56939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47  % (56939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47  % (56939)CaDiCaL version: 2.1.3
% 0.18/0.47  % (56939)Termination reason: Satisfiable
% 0.18/0.47  % (56939)Time elapsed: 0.003 s
% 0.18/0.47  % (56939)Peak memory usage: 11 MB
% 0.18/0.47  % (56939)Instructions burned: 11 (million)
% 0.18/0.47  % (56934)Success in time 0.038 s
% 0.18/0.47  % Vampire exiting
%------------------------------------------------------------------------------