%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NLP129-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 12:09:00 PM UTC 2026
% Result : Satisfiable 0.13s 0.44s
% Output : FiniteModel 0.13s
% 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_skc5,type,
skc5: $i ).
tff(skc5_definition,axiom,
skc5 = 'fmb_$i_1' ).
tff(declare_skc9,type,
skc9: $i ).
tff(skc9_definition,axiom,
skc9 = 'fmb_$i_1' ).
tff(declare_skc8,type,
skc8: $i ).
tff(skc8_definition,axiom,
skc8 = 'fmb_$i_2' ).
tff(declare_skc7,type,
skc7: $i ).
tff(skc7_definition,axiom,
skc7 = 'fmb_$i_1' ).
tff(declare_skc6,type,
skc6: $i ).
tff(skc6_definition,axiom,
skc6 = 'fmb_$i_3' ).
tff(declare_barrel,type,
barrel: ( $i * $i ) > $o ).
tff(predicate_barrel,axiom,
( ~ barrel('fmb_$i_1','fmb_$i_1')
& ~ barrel('fmb_$i_1','fmb_$i_2')
& barrel('fmb_$i_1','fmb_$i_3')
& ~ barrel('fmb_$i_2','fmb_$i_1')
& ~ barrel('fmb_$i_2','fmb_$i_2')
& barrel('fmb_$i_2','fmb_$i_3')
& ~ barrel('fmb_$i_3','fmb_$i_1')
& ~ barrel('fmb_$i_3','fmb_$i_2')
& barrel('fmb_$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_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_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_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_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_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_street,type,
street: ( $i * $i ) > $o ).
tff(predicate_street,axiom,
( street('fmb_$i_1','fmb_$i_1')
& ~ street('fmb_$i_1','fmb_$i_2')
& ~ street('fmb_$i_1','fmb_$i_3')
& street('fmb_$i_2','fmb_$i_1')
& ~ street('fmb_$i_2','fmb_$i_2')
& ~ street('fmb_$i_2','fmb_$i_3')
& street('fmb_$i_3','fmb_$i_1')
& ~ street('fmb_$i_3','fmb_$i_2')
& ~ street('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_way,type,
way: ( $i * $i ) > $o ).
tff(predicate_way,axiom,
( way('fmb_$i_1','fmb_$i_1')
& ~ way('fmb_$i_1','fmb_$i_2')
& ~ way('fmb_$i_1','fmb_$i_3')
& way('fmb_$i_2','fmb_$i_1')
& ~ way('fmb_$i_2','fmb_$i_2')
& ~ way('fmb_$i_2','fmb_$i_3')
& way('fmb_$i_3','fmb_$i_1')
& ~ way('fmb_$i_3','fmb_$i_2')
& ~ way('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_artifact,type,
artifact: ( $i * $i ) > $o ).
tff(predicate_artifact,axiom,
( artifact('fmb_$i_1','fmb_$i_1')
& ~ artifact('fmb_$i_1','fmb_$i_2')
& ~ artifact('fmb_$i_1','fmb_$i_3')
& artifact('fmb_$i_2','fmb_$i_1')
& ~ artifact('fmb_$i_2','fmb_$i_2')
& ~ artifact('fmb_$i_2','fmb_$i_3')
& artifact('fmb_$i_3','fmb_$i_1')
& ~ artifact('fmb_$i_3','fmb_$i_2')
& ~ artifact('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_object,type,
object: ( $i * $i ) > $o ).
tff(predicate_object,axiom,
( object('fmb_$i_1','fmb_$i_1')
& ~ object('fmb_$i_1','fmb_$i_2')
& ~ object('fmb_$i_1','fmb_$i_3')
& object('fmb_$i_2','fmb_$i_1')
& ~ object('fmb_$i_2','fmb_$i_2')
& ~ object('fmb_$i_2','fmb_$i_3')
& object('fmb_$i_3','fmb_$i_1')
& ~ object('fmb_$i_3','fmb_$i_2')
& ~ object('fmb_$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_nonliving,type,
nonliving: ( $i * $i ) > $o ).
tff(predicate_nonliving,axiom,
( nonliving('fmb_$i_1','fmb_$i_1')
& nonliving('fmb_$i_1','fmb_$i_2')
& nonliving('fmb_$i_1','fmb_$i_3')
& nonliving('fmb_$i_2','fmb_$i_1')
& nonliving('fmb_$i_2','fmb_$i_2')
& nonliving('fmb_$i_2','fmb_$i_3')
& nonliving('fmb_$i_3','fmb_$i_1')
& nonliving('fmb_$i_3','fmb_$i_2')
& nonliving('fmb_$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_placename,type,
placename: ( $i * $i ) > $o ).
tff(predicate_placename,axiom,
( ~ placename('fmb_$i_1','fmb_$i_1')
& placename('fmb_$i_1','fmb_$i_2')
& ~ placename('fmb_$i_1','fmb_$i_3')
& ~ placename('fmb_$i_2','fmb_$i_1')
& ~ placename('fmb_$i_2','fmb_$i_2')
& ~ placename('fmb_$i_2','fmb_$i_3')
& ~ placename('fmb_$i_3','fmb_$i_1')
& ~ placename('fmb_$i_3','fmb_$i_2')
& ~ placename('fmb_$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_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_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_hollywood_placename,type,
hollywood_placename: ( $i * $i ) > $o ).
tff(predicate_hollywood_placename,axiom,
( ~ hollywood_placename('fmb_$i_1','fmb_$i_1')
& hollywood_placename('fmb_$i_1','fmb_$i_2')
& ~ hollywood_placename('fmb_$i_1','fmb_$i_3')
& ~ hollywood_placename('fmb_$i_2','fmb_$i_1')
& ~ hollywood_placename('fmb_$i_2','fmb_$i_2')
& ~ hollywood_placename('fmb_$i_2','fmb_$i_3')
& ~ hollywood_placename('fmb_$i_3','fmb_$i_1')
& ~ hollywood_placename('fmb_$i_3','fmb_$i_2')
& ~ hollywood_placename('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_city,type,
city: ( $i * $i ) > $o ).
tff(predicate_city,axiom,
( city('fmb_$i_1','fmb_$i_1')
& ~ city('fmb_$i_1','fmb_$i_2')
& ~ city('fmb_$i_1','fmb_$i_3')
& city('fmb_$i_2','fmb_$i_1')
& ~ city('fmb_$i_2','fmb_$i_2')
& ~ city('fmb_$i_2','fmb_$i_3')
& city('fmb_$i_3','fmb_$i_1')
& ~ city('fmb_$i_3','fmb_$i_2')
& ~ city('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_location,type,
location: ( $i * $i ) > $o ).
tff(predicate_location,axiom,
( location('fmb_$i_1','fmb_$i_1')
& ~ location('fmb_$i_1','fmb_$i_2')
& ~ location('fmb_$i_1','fmb_$i_3')
& location('fmb_$i_2','fmb_$i_1')
& ~ location('fmb_$i_2','fmb_$i_2')
& ~ location('fmb_$i_2','fmb_$i_3')
& location('fmb_$i_3','fmb_$i_1')
& ~ location('fmb_$i_3','fmb_$i_2')
& ~ location('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_chevy,type,
chevy: ( $i * $i ) > $o ).
tff(predicate_chevy,axiom,
( chevy('fmb_$i_1','fmb_$i_1')
& ~ chevy('fmb_$i_1','fmb_$i_2')
& ~ chevy('fmb_$i_1','fmb_$i_3')
& chevy('fmb_$i_2','fmb_$i_1')
& ~ chevy('fmb_$i_2','fmb_$i_2')
& ~ chevy('fmb_$i_2','fmb_$i_3')
& chevy('fmb_$i_3','fmb_$i_1')
& ~ chevy('fmb_$i_3','fmb_$i_2')
& ~ chevy('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_car,type,
car: ( $i * $i ) > $o ).
tff(predicate_car,axiom,
( car('fmb_$i_1','fmb_$i_1')
& ~ car('fmb_$i_1','fmb_$i_2')
& ~ car('fmb_$i_1','fmb_$i_3')
& car('fmb_$i_2','fmb_$i_1')
& ~ car('fmb_$i_2','fmb_$i_2')
& ~ car('fmb_$i_2','fmb_$i_3')
& car('fmb_$i_3','fmb_$i_1')
& ~ car('fmb_$i_3','fmb_$i_2')
& ~ car('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_vehicle,type,
vehicle: ( $i * $i ) > $o ).
tff(predicate_vehicle,axiom,
( vehicle('fmb_$i_1','fmb_$i_1')
& ~ vehicle('fmb_$i_1','fmb_$i_2')
& ~ vehicle('fmb_$i_1','fmb_$i_3')
& vehicle('fmb_$i_2','fmb_$i_1')
& ~ vehicle('fmb_$i_2','fmb_$i_2')
& ~ vehicle('fmb_$i_2','fmb_$i_3')
& vehicle('fmb_$i_3','fmb_$i_1')
& ~ vehicle('fmb_$i_3','fmb_$i_2')
& ~ vehicle('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_transport,type,
transport: ( $i * $i ) > $o ).
tff(predicate_transport,axiom,
( transport('fmb_$i_1','fmb_$i_1')
& ~ transport('fmb_$i_1','fmb_$i_2')
& ~ transport('fmb_$i_1','fmb_$i_3')
& transport('fmb_$i_2','fmb_$i_1')
& ~ transport('fmb_$i_2','fmb_$i_2')
& ~ transport('fmb_$i_2','fmb_$i_3')
& transport('fmb_$i_3','fmb_$i_1')
& ~ transport('fmb_$i_3','fmb_$i_2')
& ~ transport('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_instrumentality,type,
instrumentality: ( $i * $i ) > $o ).
tff(predicate_instrumentality,axiom,
( instrumentality('fmb_$i_1','fmb_$i_1')
& ~ instrumentality('fmb_$i_1','fmb_$i_2')
& ~ instrumentality('fmb_$i_1','fmb_$i_3')
& instrumentality('fmb_$i_2','fmb_$i_1')
& ~ instrumentality('fmb_$i_2','fmb_$i_2')
& ~ instrumentality('fmb_$i_2','fmb_$i_3')
& instrumentality('fmb_$i_3','fmb_$i_1')
& ~ instrumentality('fmb_$i_3','fmb_$i_2')
& ~ instrumentality('fmb_$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_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') ) ).
tff(declare_lonely,type,
lonely: ( $i * $i ) > $o ).
tff(predicate_lonely,axiom,
( lonely('fmb_$i_1','fmb_$i_1')
& lonely('fmb_$i_1','fmb_$i_2')
& lonely('fmb_$i_1','fmb_$i_3')
& lonely('fmb_$i_2','fmb_$i_1')
& lonely('fmb_$i_2','fmb_$i_2')
& lonely('fmb_$i_2','fmb_$i_3')
& lonely('fmb_$i_3','fmb_$i_1')
& lonely('fmb_$i_3','fmb_$i_2')
& lonely('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_white,type,
white: ( $i * $i ) > $o ).
tff(predicate_white,axiom,
( white('fmb_$i_1','fmb_$i_1')
& white('fmb_$i_1','fmb_$i_2')
& white('fmb_$i_1','fmb_$i_3')
& white('fmb_$i_2','fmb_$i_1')
& white('fmb_$i_2','fmb_$i_2')
& white('fmb_$i_2','fmb_$i_3')
& white('fmb_$i_3','fmb_$i_1')
& white('fmb_$i_3','fmb_$i_2')
& white('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_dirty,type,
dirty: ( $i * $i ) > $o ).
tff(predicate_dirty,axiom,
( dirty('fmb_$i_1','fmb_$i_1')
& dirty('fmb_$i_1','fmb_$i_2')
& dirty('fmb_$i_1','fmb_$i_3')
& dirty('fmb_$i_2','fmb_$i_1')
& dirty('fmb_$i_2','fmb_$i_2')
& dirty('fmb_$i_2','fmb_$i_3')
& dirty('fmb_$i_3','fmb_$i_1')
& dirty('fmb_$i_3','fmb_$i_2')
& dirty('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_old,type,
old: ( $i * $i ) > $o ).
tff(predicate_old,axiom,
( old('fmb_$i_1','fmb_$i_1')
& old('fmb_$i_1','fmb_$i_2')
& old('fmb_$i_1','fmb_$i_3')
& old('fmb_$i_2','fmb_$i_1')
& old('fmb_$i_2','fmb_$i_2')
& old('fmb_$i_2','fmb_$i_3')
& old('fmb_$i_3','fmb_$i_1')
& old('fmb_$i_3','fmb_$i_2')
& old('fmb_$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_down,type,
down: ( $i * $i * $i ) > $o ).
tff(predicate_down,axiom,
( down('fmb_$i_1','fmb_$i_1','fmb_$i_1')
& down('fmb_$i_1','fmb_$i_1','fmb_$i_2')
& down('fmb_$i_1','fmb_$i_1','fmb_$i_3')
& down('fmb_$i_1','fmb_$i_2','fmb_$i_1')
& down('fmb_$i_1','fmb_$i_2','fmb_$i_2')
& down('fmb_$i_1','fmb_$i_2','fmb_$i_3')
& down('fmb_$i_1','fmb_$i_3','fmb_$i_1')
& down('fmb_$i_1','fmb_$i_3','fmb_$i_2')
& down('fmb_$i_1','fmb_$i_3','fmb_$i_3')
& down('fmb_$i_2','fmb_$i_1','fmb_$i_1')
& down('fmb_$i_2','fmb_$i_1','fmb_$i_2')
& down('fmb_$i_2','fmb_$i_1','fmb_$i_3')
& down('fmb_$i_2','fmb_$i_2','fmb_$i_1')
& down('fmb_$i_2','fmb_$i_2','fmb_$i_2')
& down('fmb_$i_2','fmb_$i_2','fmb_$i_3')
& down('fmb_$i_2','fmb_$i_3','fmb_$i_1')
& down('fmb_$i_2','fmb_$i_3','fmb_$i_2')
& down('fmb_$i_2','fmb_$i_3','fmb_$i_3')
& down('fmb_$i_3','fmb_$i_1','fmb_$i_1')
& down('fmb_$i_3','fmb_$i_1','fmb_$i_2')
& down('fmb_$i_3','fmb_$i_1','fmb_$i_3')
& down('fmb_$i_3','fmb_$i_2','fmb_$i_1')
& down('fmb_$i_3','fmb_$i_2','fmb_$i_2')
& down('fmb_$i_3','fmb_$i_2','fmb_$i_3')
& down('fmb_$i_3','fmb_$i_3','fmb_$i_1')
& down('fmb_$i_3','fmb_$i_3','fmb_$i_2')
& down('fmb_$i_3','fmb_$i_3','fmb_$i_3') ) ).
tff(declare_in,type,
in: ( $i * $i * $i ) > $o ).
tff(predicate_in,axiom,
( in('fmb_$i_1','fmb_$i_1','fmb_$i_1')
& in('fmb_$i_1','fmb_$i_1','fmb_$i_2')
& in('fmb_$i_1','fmb_$i_1','fmb_$i_3')
& in('fmb_$i_1','fmb_$i_2','fmb_$i_1')
& in('fmb_$i_1','fmb_$i_2','fmb_$i_2')
& in('fmb_$i_1','fmb_$i_2','fmb_$i_3')
& in('fmb_$i_1','fmb_$i_3','fmb_$i_1')
& in('fmb_$i_1','fmb_$i_3','fmb_$i_2')
& in('fmb_$i_1','fmb_$i_3','fmb_$i_3')
& in('fmb_$i_2','fmb_$i_1','fmb_$i_1')
& in('fmb_$i_2','fmb_$i_1','fmb_$i_2')
& in('fmb_$i_2','fmb_$i_1','fmb_$i_3')
& in('fmb_$i_2','fmb_$i_2','fmb_$i_1')
& in('fmb_$i_2','fmb_$i_2','fmb_$i_2')
& in('fmb_$i_2','fmb_$i_2','fmb_$i_3')
& in('fmb_$i_2','fmb_$i_3','fmb_$i_1')
& in('fmb_$i_2','fmb_$i_3','fmb_$i_2')
& in('fmb_$i_2','fmb_$i_3','fmb_$i_3')
& in('fmb_$i_3','fmb_$i_1','fmb_$i_1')
& in('fmb_$i_3','fmb_$i_1','fmb_$i_2')
& in('fmb_$i_3','fmb_$i_1','fmb_$i_3')
& in('fmb_$i_3','fmb_$i_2','fmb_$i_1')
& in('fmb_$i_3','fmb_$i_2','fmb_$i_2')
& in('fmb_$i_3','fmb_$i_2','fmb_$i_3')
& in('fmb_$i_3','fmb_$i_3','fmb_$i_1')
& in('fmb_$i_3','fmb_$i_3','fmb_$i_2')
& in('fmb_$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') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NLP129-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.37 % Computer : n001.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 18:13:16 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 Running first-order model finding
% 0.13/0.40 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
% 0.13/0.44 % (3856691)Will run a generic schedule for satisfiability detection.
% 0.13/0.44 % (3856696)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2486772152_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.44 % Detected minimum model sizes of [1]
% 0.13/0.44 % Detected maximum model sizes of [5]
% 0.13/0.44 % TRYING [1]
% 0.13/0.44 % TRYING [2]
% 0.13/0.44 % TRYING [3]
% 0.13/0.44 % Finite Model Found!
% 0.13/0.44 % SZS status Satisfiable for theBenchmark
% 0.13/0.44 % (3856696) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3856691-3856696"...
% 0.13/0.44 % (3856696)...printing done.
% 0.13/0.44 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.13/0.45 % (3856696)------------------------------
% 0.13/0.45 % (3856696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.45 % (3856696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.45 % (3856696)CaDiCaL version: 2.1.3
% 0.13/0.45 % (3856696)Termination reason: Satisfiable
% 0.13/0.45 % (3856696)Time elapsed: 0.001 s
% 0.13/0.45 % (3856696)Peak memory usage: 11 MB
% 0.13/0.45 % (3856696)Instructions burned: 4 (million)
% 0.13/0.45 % (3856691)Success in time 0.031 s
% 0.13/0.45 % Vampire exiting
%------------------------------------------------------------------------------