%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NLP110+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 : 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 12:08:54 PM UTC 2026
% Result : CounterSatisfiable 0.20s 0.48s
% Output : FiniteModel 0.20s
% 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_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_building,type,
building: ( $i * $i ) > $o ).
tff(predicate_building,axiom,
( ~ building('fmb_$i_1','fmb_$i_1')
& ~ building('fmb_$i_1','fmb_$i_2')
& ~ building('fmb_$i_1','fmb_$i_3')
& ~ building('fmb_$i_2','fmb_$i_1')
& ~ building('fmb_$i_2','fmb_$i_2')
& ~ building('fmb_$i_2','fmb_$i_3')
& ~ building('fmb_$i_3','fmb_$i_1')
& ~ building('fmb_$i_3','fmb_$i_2')
& ~ building('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_restaurant,type,
restaurant: ( $i * $i ) > $o ).
tff(predicate_restaurant,axiom,
( ~ restaurant('fmb_$i_1','fmb_$i_1')
& ~ restaurant('fmb_$i_1','fmb_$i_2')
& ~ restaurant('fmb_$i_1','fmb_$i_3')
& ~ restaurant('fmb_$i_2','fmb_$i_1')
& ~ restaurant('fmb_$i_2','fmb_$i_2')
& ~ restaurant('fmb_$i_2','fmb_$i_3')
& ~ restaurant('fmb_$i_3','fmb_$i_1')
& ~ restaurant('fmb_$i_3','fmb_$i_2')
& ~ restaurant('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_customer,type,
customer: ( $i * $i ) > $o ).
tff(predicate_customer,axiom,
( ~ customer('fmb_$i_1','fmb_$i_1')
& ~ customer('fmb_$i_1','fmb_$i_2')
& ~ customer('fmb_$i_1','fmb_$i_3')
& ~ customer('fmb_$i_2','fmb_$i_1')
& ~ customer('fmb_$i_2','fmb_$i_2')
& ~ customer('fmb_$i_2','fmb_$i_3')
& ~ customer('fmb_$i_3','fmb_$i_1')
& ~ customer('fmb_$i_3','fmb_$i_2')
& ~ customer('fmb_$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_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_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_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_substance_matter,type,
substance_matter: ( $i * $i ) > $o ).
tff(predicate_substance_matter,axiom,
( substance_matter('fmb_$i_1','fmb_$i_1')
& ~ substance_matter('fmb_$i_1','fmb_$i_2')
& ~ substance_matter('fmb_$i_1','fmb_$i_3')
& substance_matter('fmb_$i_2','fmb_$i_1')
& ~ substance_matter('fmb_$i_2','fmb_$i_2')
& ~ substance_matter('fmb_$i_2','fmb_$i_3')
& substance_matter('fmb_$i_3','fmb_$i_1')
& ~ substance_matter('fmb_$i_3','fmb_$i_2')
& ~ substance_matter('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_food,type,
food: ( $i * $i ) > $o ).
tff(predicate_food,axiom,
( food('fmb_$i_1','fmb_$i_1')
& ~ food('fmb_$i_1','fmb_$i_2')
& ~ food('fmb_$i_1','fmb_$i_3')
& food('fmb_$i_2','fmb_$i_1')
& ~ food('fmb_$i_2','fmb_$i_2')
& ~ food('fmb_$i_2','fmb_$i_3')
& food('fmb_$i_3','fmb_$i_1')
& ~ food('fmb_$i_3','fmb_$i_2')
& ~ food('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_beverage,type,
beverage: ( $i * $i ) > $o ).
tff(predicate_beverage,axiom,
( beverage('fmb_$i_1','fmb_$i_1')
& ~ beverage('fmb_$i_1','fmb_$i_2')
& ~ beverage('fmb_$i_1','fmb_$i_3')
& beverage('fmb_$i_2','fmb_$i_1')
& ~ beverage('fmb_$i_2','fmb_$i_2')
& ~ beverage('fmb_$i_2','fmb_$i_3')
& beverage('fmb_$i_3','fmb_$i_1')
& ~ beverage('fmb_$i_3','fmb_$i_2')
& ~ beverage('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_coffee,type,
coffee: ( $i * $i ) > $o ).
tff(predicate_coffee,axiom,
( coffee('fmb_$i_1','fmb_$i_1')
& ~ coffee('fmb_$i_1','fmb_$i_2')
& ~ coffee('fmb_$i_1','fmb_$i_3')
& coffee('fmb_$i_2','fmb_$i_1')
& ~ coffee('fmb_$i_2','fmb_$i_2')
& ~ coffee('fmb_$i_2','fmb_$i_3')
& coffee('fmb_$i_3','fmb_$i_1')
& ~ coffee('fmb_$i_3','fmb_$i_2')
& ~ coffee('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_drink,type,
drink: ( $i * $i ) > $o ).
tff(predicate_drink,axiom,
( ~ drink('fmb_$i_1','fmb_$i_1')
& ~ drink('fmb_$i_1','fmb_$i_2')
& drink('fmb_$i_1','fmb_$i_3')
& ~ drink('fmb_$i_2','fmb_$i_1')
& ~ drink('fmb_$i_2','fmb_$i_2')
& drink('fmb_$i_2','fmb_$i_3')
& ~ drink('fmb_$i_3','fmb_$i_1')
& ~ drink('fmb_$i_3','fmb_$i_2')
& drink('fmb_$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_see,type,
see: ( $i * $i ) > $o ).
tff(predicate_see,axiom,
( ~ see('fmb_$i_1','fmb_$i_1')
& ~ see('fmb_$i_1','fmb_$i_2')
& ~ see('fmb_$i_1','fmb_$i_3')
& ~ see('fmb_$i_2','fmb_$i_1')
& ~ see('fmb_$i_2','fmb_$i_2')
& ~ see('fmb_$i_2','fmb_$i_3')
& ~ see('fmb_$i_3','fmb_$i_1')
& ~ see('fmb_$i_3','fmb_$i_2')
& ~ see('fmb_$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_patient,type,
patient: ( $i * $i * $i ) > $o ).
tff(predicate_patient,axiom,
( patient('fmb_$i_1','fmb_$i_1','fmb_$i_1')
& patient('fmb_$i_1','fmb_$i_1','fmb_$i_2')
& patient('fmb_$i_1','fmb_$i_1','fmb_$i_3')
& patient('fmb_$i_1','fmb_$i_2','fmb_$i_1')
& patient('fmb_$i_1','fmb_$i_2','fmb_$i_2')
& patient('fmb_$i_1','fmb_$i_2','fmb_$i_3')
& patient('fmb_$i_1','fmb_$i_3','fmb_$i_1')
& ~ patient('fmb_$i_1','fmb_$i_3','fmb_$i_2')
& ~ patient('fmb_$i_1','fmb_$i_3','fmb_$i_3')
& patient('fmb_$i_2','fmb_$i_1','fmb_$i_1')
& patient('fmb_$i_2','fmb_$i_1','fmb_$i_2')
& patient('fmb_$i_2','fmb_$i_1','fmb_$i_3')
& patient('fmb_$i_2','fmb_$i_2','fmb_$i_1')
& patient('fmb_$i_2','fmb_$i_2','fmb_$i_2')
& patient('fmb_$i_2','fmb_$i_2','fmb_$i_3')
& patient('fmb_$i_2','fmb_$i_3','fmb_$i_1')
& ~ patient('fmb_$i_2','fmb_$i_3','fmb_$i_2')
& ~ patient('fmb_$i_2','fmb_$i_3','fmb_$i_3')
& patient('fmb_$i_3','fmb_$i_1','fmb_$i_1')
& patient('fmb_$i_3','fmb_$i_1','fmb_$i_2')
& patient('fmb_$i_3','fmb_$i_1','fmb_$i_3')
& patient('fmb_$i_3','fmb_$i_2','fmb_$i_1')
& patient('fmb_$i_3','fmb_$i_2','fmb_$i_2')
& patient('fmb_$i_3','fmb_$i_2','fmb_$i_3')
& patient('fmb_$i_3','fmb_$i_3','fmb_$i_1')
& ~ patient('fmb_$i_3','fmb_$i_3','fmb_$i_2')
& ~ patient('fmb_$i_3','fmb_$i_3','fmb_$i_3') ) ).
tff(declare_nonreflexive,type,
nonreflexive: ( $i * $i ) > $o ).
tff(predicate_nonreflexive,axiom,
( nonreflexive('fmb_$i_1','fmb_$i_1')
& nonreflexive('fmb_$i_1','fmb_$i_2')
& nonreflexive('fmb_$i_1','fmb_$i_3')
& nonreflexive('fmb_$i_2','fmb_$i_1')
& nonreflexive('fmb_$i_2','fmb_$i_2')
& nonreflexive('fmb_$i_2','fmb_$i_3')
& nonreflexive('fmb_$i_3','fmb_$i_1')
& nonreflexive('fmb_$i_3','fmb_$i_2')
& nonreflexive('fmb_$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_past,type,
past: ( $i * $i ) > $o ).
tff(predicate_past,axiom,
( past('fmb_$i_1','fmb_$i_1')
& past('fmb_$i_1','fmb_$i_2')
& past('fmb_$i_1','fmb_$i_3')
& past('fmb_$i_2','fmb_$i_1')
& past('fmb_$i_2','fmb_$i_2')
& past('fmb_$i_2','fmb_$i_3')
& past('fmb_$i_3','fmb_$i_1')
& past('fmb_$i_3','fmb_$i_2')
& past('fmb_$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') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NLP110+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n009.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 18:05:00 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.44 Running first-order model finding
% 0.12/0.44 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
% 0.20/0.48 % (2291676)Will run a generic schedule for satisfiability detection.
% 0.20/0.48 % (2291681)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3766970714_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.48 % Detected minimum model sizes of [1]
% 0.20/0.48 % Detected maximum model sizes of [4]
% 0.20/0.48 % TRYING [1]
% 0.20/0.48 % TRYING [2]
% 0.20/0.48 % TRYING [3]
% 0.20/0.48 % Finite Model Found!
% 0.20/0.48 % SZS status CounterSatisfiable for theBenchmark
% 0.20/0.48 % (2291681) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2291676-2291681"...
% 0.20/0.48 % (2291681)...printing done.
% 0.20/0.48 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.20/0.48 % (2291681)------------------------------
% 0.20/0.48 % (2291681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.48 % (2291681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.48 % (2291681)CaDiCaL version: 2.1.3
% 0.20/0.48 % (2291681)Termination reason: Satisfiable
% 0.20/0.48 % (2291681)Time elapsed: 0.001 s
% 0.20/0.48 % (2291681)Peak memory usage: 11 MB
% 0.20/0.48 % (2291681)Instructions burned: 4 (million)
% 0.20/0.48 % (2291676)Success in time 0.032 s
% 0.20/0.48 % Vampire exiting
%------------------------------------------------------------------------------