%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NLP220-1 : 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 : 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 12:09:29 PM UTC 2026
% Result : Satisfiable 0.10s 0.45s
% Output : FiniteModel 0.10s
% 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_2' ).
tff(declare_skc8,type,
skc8: $i ).
tff(skc8_definition,axiom,
skc8 = 'fmb_$i_3' ).
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_skf1,type,
skf1: $i > $i ).
tff(function_skf1,axiom,
( ( skf1('fmb_$i_1') = 'fmb_$i_1' )
& ( skf1('fmb_$i_2') = 'fmb_$i_1' )
& ( skf1('fmb_$i_3') = 'fmb_$i_1' ) ) ).
tff(declare_smoke,type,
smoke: ( $i * $i ) > $o ).
tff(predicate_smoke,axiom,
( ~ smoke('fmb_$i_1','fmb_$i_1')
& ~ smoke('fmb_$i_1','fmb_$i_2')
& ~ smoke('fmb_$i_1','fmb_$i_3')
& ~ smoke('fmb_$i_2','fmb_$i_1')
& ~ smoke('fmb_$i_2','fmb_$i_2')
& ~ smoke('fmb_$i_2','fmb_$i_3')
& smoke('fmb_$i_3','fmb_$i_1')
& ~ smoke('fmb_$i_3','fmb_$i_2')
& ~ smoke('fmb_$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_man,type,
man: ( $i * $i ) > $o ).
tff(predicate_man,axiom,
( ~ man('fmb_$i_1','fmb_$i_1')
& man('fmb_$i_1','fmb_$i_2')
& ~ man('fmb_$i_1','fmb_$i_3')
& ~ man('fmb_$i_2','fmb_$i_1')
& ~ man('fmb_$i_2','fmb_$i_2')
& ~ man('fmb_$i_2','fmb_$i_3')
& ~ man('fmb_$i_3','fmb_$i_1')
& man('fmb_$i_3','fmb_$i_2')
& ~ man('fmb_$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_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_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_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_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_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_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_male,type,
male: ( $i * $i ) > $o ).
tff(predicate_male,axiom,
( ~ male('fmb_$i_1','fmb_$i_1')
& male('fmb_$i_1','fmb_$i_2')
& ~ male('fmb_$i_1','fmb_$i_3')
& ~ male('fmb_$i_2','fmb_$i_1')
& ~ male('fmb_$i_2','fmb_$i_2')
& ~ male('fmb_$i_2','fmb_$i_3')
& ~ male('fmb_$i_3','fmb_$i_1')
& male('fmb_$i_3','fmb_$i_2')
& ~ male('fmb_$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_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_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_vincent_forename,type,
vincent_forename: ( $i * $i ) > $o ).
tff(predicate_vincent_forename,axiom,
( ~ vincent_forename('fmb_$i_1','fmb_$i_1')
& ~ vincent_forename('fmb_$i_1','fmb_$i_2')
& vincent_forename('fmb_$i_1','fmb_$i_3')
& ~ vincent_forename('fmb_$i_2','fmb_$i_1')
& ~ vincent_forename('fmb_$i_2','fmb_$i_2')
& ~ vincent_forename('fmb_$i_2','fmb_$i_3')
& ~ vincent_forename('fmb_$i_3','fmb_$i_1')
& ~ vincent_forename('fmb_$i_3','fmb_$i_2')
& vincent_forename('fmb_$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_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_think_believe_consider,type,
think_believe_consider: ( $i * $i ) > $o ).
tff(predicate_think_believe_consider,axiom,
( think_believe_consider('fmb_$i_1','fmb_$i_1')
& think_believe_consider('fmb_$i_1','fmb_$i_2')
& think_believe_consider('fmb_$i_1','fmb_$i_3')
& think_believe_consider('fmb_$i_2','fmb_$i_1')
& think_believe_consider('fmb_$i_2','fmb_$i_2')
& think_believe_consider('fmb_$i_2','fmb_$i_3')
& think_believe_consider('fmb_$i_3','fmb_$i_1')
& think_believe_consider('fmb_$i_3','fmb_$i_2')
& think_believe_consider('fmb_$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_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_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') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NLP220-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 18:31:17 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 Running first-order model finding
% 0.10/0.39 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
% 0.10/0.45 % (80524)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (80533)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1279853228:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.45 % (80530)% WARNING: option uhcvi not known.
% 0.10/0.45 % (80529)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1208559175_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.45 % (80531)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1565046943:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.45 % (80532)dis+10_1_sil=32000:sp=arity:random_seed=3385168377:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.45 % (80534)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2100695449:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.45 % (80535)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2205596335:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.45 % (80530)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3922243078:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.45 % TRYING [1]
% 0.10/0.45 % TRYING [2]
% 0.10/0.45 % TRYING [3]
% 0.10/0.45 % Finite Model Found!
% 0.10/0.45 % SZS status Satisfiable for theBenchmark
% 0.10/0.45 % (80529) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-80524-80529"...
% 0.10/0.45 % (80534) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-80524-80534"...
% 0.10/0.45 % (80532) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-80524-80532"...
% 0.10/0.45 % (80529)...printing done.
% 0.10/0.45 % (80534)...printing done.
% 0.10/0.45 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.10/0.45 % (80529)------------------------------
% 0.10/0.45 % (80529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45 % (80529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45 % (80529)CaDiCaL version: 2.1.3
% 0.10/0.45 % (80529)Termination reason: Satisfiable
% 0.10/0.45 % (80529)Time elapsed: 0.006 s
% 0.10/0.45 % (80529)Peak memory usage: 12 MB
% 0.10/0.45 % (80529)Instructions burned: 11 (million)
% 0.10/0.45 % (80524)Success in time 0.046 s
% 0.10/0.45 % Vampire exiting
%------------------------------------------------------------------------------