%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NLP243+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 : n020.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 12:09:38 PM UTC 2026
% Result : CounterSatisfiable 0.16s 5.47s
% Output : FiniteModel 0.16s
% 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_jules_forename,type,
jules_forename: ( $i * $i ) > $o ).
tff(predicate_jules_forename,axiom,
( ~ jules_forename('fmb_$i_1','fmb_$i_1')
& ~ jules_forename('fmb_$i_1','fmb_$i_2')
& jules_forename('fmb_$i_1','fmb_$i_3')
& jules_forename('fmb_$i_2','fmb_$i_1')
& jules_forename('fmb_$i_2','fmb_$i_2')
& jules_forename('fmb_$i_2','fmb_$i_3')
& ~ jules_forename('fmb_$i_3','fmb_$i_1')
& ~ jules_forename('fmb_$i_3','fmb_$i_2')
& jules_forename('fmb_$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_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_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_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_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_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_state,type,
state: ( $i * $i ) > $o ).
tff(predicate_state,axiom,
( state('fmb_$i_1','fmb_$i_1')
& ~ state('fmb_$i_1','fmb_$i_2')
& ~ state('fmb_$i_1','fmb_$i_3')
& ~ state('fmb_$i_2','fmb_$i_1')
& ~ state('fmb_$i_2','fmb_$i_2')
& ~ state('fmb_$i_2','fmb_$i_3')
& state('fmb_$i_3','fmb_$i_1')
& ~ state('fmb_$i_3','fmb_$i_2')
& ~ state('fmb_$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_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_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_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_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_be,type,
be: ( $i * $i * $i * $i ) > $o ).
tff(predicate_be,axiom,
( be('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_1')
& ~ be('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_2')
& ~ be('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_3')
& ~ be('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_1')
& be('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_2')
& ~ be('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_3')
& ~ be('fmb_$i_1','fmb_$i_1','fmb_$i_3','fmb_$i_1')
& ~ be('fmb_$i_1','fmb_$i_1','fmb_$i_3','fmb_$i_2')
& be('fmb_$i_1','fmb_$i_1','fmb_$i_3','fmb_$i_3')
& be('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_1')
& ~ be('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_2')
& ~ be('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_3')
& ~ be('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_1')
& be('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_2')
& ~ be('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_3')
& ~ be('fmb_$i_1','fmb_$i_2','fmb_$i_3','fmb_$i_1')
& ~ be('fmb_$i_1','fmb_$i_2','fmb_$i_3','fmb_$i_2')
& be('fmb_$i_1','fmb_$i_2','fmb_$i_3','fmb_$i_3')
& be('fmb_$i_1','fmb_$i_3','fmb_$i_1','fmb_$i_1')
& ~ be('fmb_$i_1','fmb_$i_3','fmb_$i_1','fmb_$i_2')
& ~ be('fmb_$i_1','fmb_$i_3','fmb_$i_1','fmb_$i_3')
& ~ be('fmb_$i_1','fmb_$i_3','fmb_$i_2','fmb_$i_1')
& be('fmb_$i_1','fmb_$i_3','fmb_$i_2','fmb_$i_2')
& ~ be('fmb_$i_1','fmb_$i_3','fmb_$i_2','fmb_$i_3')
& ~ be('fmb_$i_1','fmb_$i_3','fmb_$i_3','fmb_$i_1')
& ~ be('fmb_$i_1','fmb_$i_3','fmb_$i_3','fmb_$i_2')
& be('fmb_$i_1','fmb_$i_3','fmb_$i_3','fmb_$i_3')
& be('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_1')
& ~ be('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_2')
& ~ be('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_3')
& ~ be('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_1')
& be('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_2')
& ~ be('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_3')
& ~ be('fmb_$i_2','fmb_$i_1','fmb_$i_3','fmb_$i_1')
& ~ be('fmb_$i_2','fmb_$i_1','fmb_$i_3','fmb_$i_2')
& be('fmb_$i_2','fmb_$i_1','fmb_$i_3','fmb_$i_3')
& be('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_1')
& ~ be('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_2')
& ~ be('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_3')
& ~ be('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_1')
& be('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_2')
& ~ be('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_3')
& ~ be('fmb_$i_2','fmb_$i_2','fmb_$i_3','fmb_$i_1')
& ~ be('fmb_$i_2','fmb_$i_2','fmb_$i_3','fmb_$i_2')
& be('fmb_$i_2','fmb_$i_2','fmb_$i_3','fmb_$i_3')
& be('fmb_$i_2','fmb_$i_3','fmb_$i_1','fmb_$i_1')
& ~ be('fmb_$i_2','fmb_$i_3','fmb_$i_1','fmb_$i_2')
& ~ be('fmb_$i_2','fmb_$i_3','fmb_$i_1','fmb_$i_3')
& ~ be('fmb_$i_2','fmb_$i_3','fmb_$i_2','fmb_$i_1')
& be('fmb_$i_2','fmb_$i_3','fmb_$i_2','fmb_$i_2')
& ~ be('fmb_$i_2','fmb_$i_3','fmb_$i_2','fmb_$i_3')
& ~ be('fmb_$i_2','fmb_$i_3','fmb_$i_3','fmb_$i_1')
& ~ be('fmb_$i_2','fmb_$i_3','fmb_$i_3','fmb_$i_2')
& be('fmb_$i_2','fmb_$i_3','fmb_$i_3','fmb_$i_3')
& be('fmb_$i_3','fmb_$i_1','fmb_$i_1','fmb_$i_1')
& ~ be('fmb_$i_3','fmb_$i_1','fmb_$i_1','fmb_$i_2')
& ~ be('fmb_$i_3','fmb_$i_1','fmb_$i_1','fmb_$i_3')
& ~ be('fmb_$i_3','fmb_$i_1','fmb_$i_2','fmb_$i_1')
& be('fmb_$i_3','fmb_$i_1','fmb_$i_2','fmb_$i_2')
& ~ be('fmb_$i_3','fmb_$i_1','fmb_$i_2','fmb_$i_3')
& ~ be('fmb_$i_3','fmb_$i_1','fmb_$i_3','fmb_$i_1')
& ~ be('fmb_$i_3','fmb_$i_1','fmb_$i_3','fmb_$i_2')
& be('fmb_$i_3','fmb_$i_1','fmb_$i_3','fmb_$i_3')
& be('fmb_$i_3','fmb_$i_2','fmb_$i_1','fmb_$i_1')
& ~ be('fmb_$i_3','fmb_$i_2','fmb_$i_1','fmb_$i_2')
& ~ be('fmb_$i_3','fmb_$i_2','fmb_$i_1','fmb_$i_3')
& ~ be('fmb_$i_3','fmb_$i_2','fmb_$i_2','fmb_$i_1')
& be('fmb_$i_3','fmb_$i_2','fmb_$i_2','fmb_$i_2')
& ~ be('fmb_$i_3','fmb_$i_2','fmb_$i_2','fmb_$i_3')
& ~ be('fmb_$i_3','fmb_$i_2','fmb_$i_3','fmb_$i_1')
& ~ be('fmb_$i_3','fmb_$i_2','fmb_$i_3','fmb_$i_2')
& be('fmb_$i_3','fmb_$i_2','fmb_$i_3','fmb_$i_3')
& be('fmb_$i_3','fmb_$i_3','fmb_$i_1','fmb_$i_1')
& ~ be('fmb_$i_3','fmb_$i_3','fmb_$i_1','fmb_$i_2')
& ~ be('fmb_$i_3','fmb_$i_3','fmb_$i_1','fmb_$i_3')
& ~ be('fmb_$i_3','fmb_$i_3','fmb_$i_2','fmb_$i_1')
& be('fmb_$i_3','fmb_$i_3','fmb_$i_2','fmb_$i_2')
& ~ be('fmb_$i_3','fmb_$i_3','fmb_$i_2','fmb_$i_3')
& ~ be('fmb_$i_3','fmb_$i_3','fmb_$i_3','fmb_$i_1')
& ~ be('fmb_$i_3','fmb_$i_3','fmb_$i_3','fmb_$i_2')
& be('fmb_$i_3','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_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_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 : NLP243+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/5.39 % Computer : n020.cluster.edu
% 0.12/5.39 % Model : x86_64 x86_64
% 0.12/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39 % Memory : 8046.5625MB
% 0.12/5.39 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Sun Sep 27 18:36:40 UTC 2026
% 0.12/5.39 % CPUTime :
% 0.12/5.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/5.43 Running first-order model finding
% 0.16/5.43 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
% 0.16/5.47 % (3670764)Will run a generic schedule for satisfiability detection.
% 0.16/5.47 % (3670769)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=60604081_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/5.47 % TRYING [1]
% 0.16/5.47 % TRYING [2]
% 0.16/5.47 % TRYING [3]
% 0.16/5.47 % (3670770)% WARNING: option uhcvi not known.
% 0.16/5.47 % Finite Model Found!
% 0.16/5.47 % SZS status CounterSatisfiable for theBenchmark
% 0.16/5.47 % (3670769) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3670764-3670769"...
% 0.16/5.47 % (3670769)...printing done.
% 0.16/5.47 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.16/5.47 % (3670769)------------------------------
% 0.16/5.47 % (3670769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/5.47 % (3670769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/5.47 % (3670769)CaDiCaL version: 2.1.3
% 0.16/5.47 % (3670769)Termination reason: Satisfiable
% 0.16/5.47 % (3670769)Time elapsed: 0.005 s
% 0.16/5.47 % (3670769)Peak memory usage: 12 MB
% 0.16/5.47 % (3670769)Instructions burned: 17 (million)
% 0.16/5.47 % (3670764)Success in time 0.034 s
% 0.16/5.47 % Vampire exiting
%------------------------------------------------------------------------------