%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NLP165-1 : 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 : n013.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 12:09:10 PM UTC 2026
% Result : Satisfiable 0.21s 0.46s
% Output : FiniteModel 0.21s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
tff('declare_$i1',type,
'fmb_$i_1': $i ).
tff('declare_$i2',type,
'fmb_$i_2': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' ) ) ).
tff('distinct_domain_$i',axiom,
'fmb_$i_1' != 'fmb_$i_2' ).
tff(declare_skc63,type,
skc63: $i ).
tff(skc63_definition,axiom,
skc63 = 'fmb_$i_1' ).
tff(declare_skc19,type,
skc19: $i ).
tff(skc19_definition,axiom,
skc19 = 'fmb_$i_2' ).
tff(declare_skc72,type,
skc72: $i ).
tff(skc72_definition,axiom,
skc72 = 'fmb_$i_1' ).
tff(declare_skc71,type,
skc71: $i ).
tff(skc71_definition,axiom,
skc71 = 'fmb_$i_1' ).
tff(declare_skc70,type,
skc70: $i ).
tff(skc70_definition,axiom,
skc70 = 'fmb_$i_1' ).
tff(declare_skc66,type,
skc66: $i ).
tff(skc66_definition,axiom,
skc66 = 'fmb_$i_1' ).
tff(declare_skc68,type,
skc68: $i ).
tff(skc68_definition,axiom,
skc68 = 'fmb_$i_1' ).
tff(declare_skc69,type,
skc69: $i ).
tff(skc69_definition,axiom,
skc69 = 'fmb_$i_2' ).
tff(declare_skc67,type,
skc67: $i ).
tff(skc67_definition,axiom,
skc67 = 'fmb_$i_2' ).
tff(declare_skc65,type,
skc65: $i ).
tff(skc65_definition,axiom,
skc65 = 'fmb_$i_2' ).
tff(declare_skc64,type,
skc64: $i ).
tff(skc64_definition,axiom,
skc64 = 'fmb_$i_2' ).
tff(declare_skc22,type,
skc22: $i ).
tff(skc22_definition,axiom,
skc22 = 'fmb_$i_2' ).
tff(declare_skc27,type,
skc27: $i ).
tff(skc27_definition,axiom,
skc27 = 'fmb_$i_2' ).
tff(declare_skc23,type,
skc23: $i ).
tff(skc23_definition,axiom,
skc23 = 'fmb_$i_2' ).
tff(declare_skc25,type,
skc25: $i ).
tff(skc25_definition,axiom,
skc25 = 'fmb_$i_2' ).
tff(declare_skc26,type,
skc26: $i ).
tff(skc26_definition,axiom,
skc26 = 'fmb_$i_2' ).
tff(declare_skc24,type,
skc24: $i ).
tff(skc24_definition,axiom,
skc24 = 'fmb_$i_2' ).
tff(declare_skc20,type,
skc20: $i ).
tff(skc20_definition,axiom,
skc20 = 'fmb_$i_2' ).
tff(declare_skc21,type,
skc21: $i ).
tff(skc21_definition,axiom,
skc21 = 'fmb_$i_2' ).
tff(declare_skf11,type,
skf11: ( $i * $i ) > $i ).
tff(function_skf11,axiom,
( ( skf11('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( skf11('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( skf11('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( skf11('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_skf16,type,
skf16: ( $i * $i * $i ) > $i ).
tff(function_skf16,axiom,
( ( skf16('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( skf16('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( skf16('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( skf16('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( skf16('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( skf16('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( skf16('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( skf16('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_skf21,type,
skf21: ( $i * $i * $i ) > $i ).
tff(function_skf21,axiom,
( ( skf21('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( skf21('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( skf21('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( skf21('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( skf21('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( skf21('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( skf21('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( skf21('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_skf19,type,
skf19: ( $i * $i * $i ) > $i ).
tff(function_skf19,axiom,
( ( skf19('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( skf19('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( skf19('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( skf19('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( skf19('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( skf19('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( skf19('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( skf19('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_skf13,type,
skf13: ( $i * $i * $i ) > $i ).
tff(function_skf13,axiom,
( ( skf13('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( skf13('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( skf13('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( skf13('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( skf13('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( skf13('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( skf13('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( skf13('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_skf12,type,
skf12: ( $i * $i * $i ) > $i ).
tff(function_skf12,axiom,
( ( skf12('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( skf12('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( skf12('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( skf12('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( skf12('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( skf12('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( skf12('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( skf12('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_skf17,type,
skf17: ( $i * $i * $i ) > $i ).
tff(function_skf17,axiom,
( ( skf17('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( skf17('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( skf17('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( skf17('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( skf17('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( skf17('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( skf17('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( skf17('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_skf23,type,
skf23: ( $i * $i ) > $i ).
tff(function_skf23,axiom,
( ( skf23('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( skf23('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( skf23('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( skf23('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_skf10,type,
skf10: ( $i * $i ) > $i ).
tff(function_skf10,axiom,
( ( skf10('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( skf10('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( skf10('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( skf10('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_ssSkC0,type,
ssSkC0: $o ).
tff(ssSkC0_definition,axiom,
~ ssSkC0 ).
tff(declare_actual_world,type,
actual_world: $i > $o ).
tff(predicate_actual_world,axiom,
( actual_world('fmb_$i_1')
& actual_world('fmb_$i_2') ) ).
tff(declare_frontseat,type,
frontseat: ( $i * $i ) > $o ).
tff(predicate_frontseat,axiom,
( frontseat('fmb_$i_1','fmb_$i_1')
& ~ frontseat('fmb_$i_1','fmb_$i_2')
& ~ frontseat('fmb_$i_2','fmb_$i_1')
& frontseat('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_two,type,
two: ( $i * $i ) > $o ).
tff(predicate_two,axiom,
( two('fmb_$i_1','fmb_$i_1')
& two('fmb_$i_1','fmb_$i_2')
& two('fmb_$i_2','fmb_$i_1')
& two('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_group,type,
group: ( $i * $i ) > $o ).
tff(predicate_group,axiom,
( group('fmb_$i_1','fmb_$i_1')
& group('fmb_$i_1','fmb_$i_2')
& group('fmb_$i_2','fmb_$i_1')
& group('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_ssSkP0,type,
ssSkP0: ( $i * $i ) > $o ).
tff(predicate_ssSkP0,axiom,
( ssSkP0('fmb_$i_1','fmb_$i_1')
& ssSkP0('fmb_$i_1','fmb_$i_2')
& ssSkP0('fmb_$i_2','fmb_$i_1')
& ssSkP0('fmb_$i_2','fmb_$i_2') ) ).
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_2','fmb_$i_1')
& old('fmb_$i_2','fmb_$i_2') ) ).
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_2','fmb_$i_1')
& dirty('fmb_$i_2','fmb_$i_2') ) ).
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_2','fmb_$i_1')
& white('fmb_$i_2','fmb_$i_2') ) ).
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_2','fmb_$i_1')
& chevy('fmb_$i_2','fmb_$i_2') ) ).
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_2','fmb_$i_1')
& barrel('fmb_$i_2','fmb_$i_2') ) ).
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_2','fmb_$i_1')
& present('fmb_$i_2','fmb_$i_2') ) ).
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_2','fmb_$i_1')
& event('fmb_$i_2','fmb_$i_2') ) ).
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_2','fmb_$i_1')
& hollywood_placename('fmb_$i_2','fmb_$i_2') ) ).
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_2','fmb_$i_1')
& placename('fmb_$i_2','fmb_$i_2') ) ).
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_2','fmb_$i_1')
& city('fmb_$i_2','fmb_$i_2') ) ).
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_2','fmb_$i_1')
& street('fmb_$i_2','fmb_$i_2') ) ).
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_2','fmb_$i_1')
& lonely('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_ssSkP1,type,
ssSkP1: ( $i * $i * $i ) > $o ).
tff(predicate_ssSkP1,axiom,
( ssSkP1('fmb_$i_1','fmb_$i_1','fmb_$i_1')
& ~ ssSkP1('fmb_$i_1','fmb_$i_1','fmb_$i_2')
& ssSkP1('fmb_$i_1','fmb_$i_2','fmb_$i_1')
& ~ ssSkP1('fmb_$i_1','fmb_$i_2','fmb_$i_2')
& ~ ssSkP1('fmb_$i_2','fmb_$i_1','fmb_$i_1')
& ssSkP1('fmb_$i_2','fmb_$i_1','fmb_$i_2')
& ssSkP1('fmb_$i_2','fmb_$i_2','fmb_$i_1')
& ssSkP1('fmb_$i_2','fmb_$i_2','fmb_$i_2') ) ).
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_$i_2','fmb_$i_1')
& agent('fmb_$i_1','fmb_$i_2','fmb_$i_2')
& agent('fmb_$i_2','fmb_$i_1','fmb_$i_1')
& agent('fmb_$i_2','fmb_$i_1','fmb_$i_2')
& agent('fmb_$i_2','fmb_$i_2','fmb_$i_1')
& agent('fmb_$i_2','fmb_$i_2','fmb_$i_2') ) ).
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_$i_2','fmb_$i_1')
& ~ in('fmb_$i_1','fmb_$i_2','fmb_$i_2')
& in('fmb_$i_2','fmb_$i_1','fmb_$i_1')
& in('fmb_$i_2','fmb_$i_1','fmb_$i_2')
& ~ in('fmb_$i_2','fmb_$i_2','fmb_$i_1')
& in('fmb_$i_2','fmb_$i_2','fmb_$i_2') ) ).
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_$i_2','fmb_$i_1')
& ~ of('fmb_$i_1','fmb_$i_2','fmb_$i_2')
& ~ of('fmb_$i_2','fmb_$i_1','fmb_$i_1')
& ~ of('fmb_$i_2','fmb_$i_1','fmb_$i_2')
& ~ of('fmb_$i_2','fmb_$i_2','fmb_$i_1')
& of('fmb_$i_2','fmb_$i_2','fmb_$i_2') ) ).
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_$i_2','fmb_$i_1')
& down('fmb_$i_1','fmb_$i_2','fmb_$i_2')
& down('fmb_$i_2','fmb_$i_1','fmb_$i_1')
& down('fmb_$i_2','fmb_$i_1','fmb_$i_2')
& down('fmb_$i_2','fmb_$i_2','fmb_$i_1')
& down('fmb_$i_2','fmb_$i_2','fmb_$i_2') ) ).
tff(declare_ssSkP2,type,
ssSkP2: ( $i * $i * $i ) > $o ).
tff(predicate_ssSkP2,axiom,
( ~ ssSkP2('fmb_$i_1','fmb_$i_1','fmb_$i_1')
& ssSkP2('fmb_$i_1','fmb_$i_1','fmb_$i_2')
& ssSkP2('fmb_$i_1','fmb_$i_2','fmb_$i_1')
& ssSkP2('fmb_$i_1','fmb_$i_2','fmb_$i_2')
& ssSkP2('fmb_$i_2','fmb_$i_1','fmb_$i_1')
& ssSkP2('fmb_$i_2','fmb_$i_1','fmb_$i_2')
& ssSkP2('fmb_$i_2','fmb_$i_2','fmb_$i_1')
& ssSkP2('fmb_$i_2','fmb_$i_2','fmb_$i_2') ) ).
tff(declare_member,type,
member: ( $i * $i * $i ) > $o ).
tff(predicate_member,axiom,
( ~ member('fmb_$i_1','fmb_$i_1','fmb_$i_1')
& ~ member('fmb_$i_1','fmb_$i_1','fmb_$i_2')
& member('fmb_$i_1','fmb_$i_2','fmb_$i_1')
& ~ member('fmb_$i_1','fmb_$i_2','fmb_$i_2')
& ~ member('fmb_$i_2','fmb_$i_1','fmb_$i_1')
& ~ member('fmb_$i_2','fmb_$i_1','fmb_$i_2')
& member('fmb_$i_2','fmb_$i_2','fmb_$i_1')
& member('fmb_$i_2','fmb_$i_2','fmb_$i_2') ) ).
tff(declare_coat,type,
coat: ( $i * $i ) > $o ).
tff(predicate_coat,axiom,
( ~ coat('fmb_$i_1','fmb_$i_1')
& ~ coat('fmb_$i_1','fmb_$i_2')
& ~ coat('fmb_$i_2','fmb_$i_1')
& coat('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_black,type,
black: ( $i * $i ) > $o ).
tff(predicate_black,axiom,
( black('fmb_$i_1','fmb_$i_1')
& black('fmb_$i_1','fmb_$i_2')
& black('fmb_$i_2','fmb_$i_1')
& black('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_cheap,type,
cheap: ( $i * $i ) > $o ).
tff(predicate_cheap,axiom,
( cheap('fmb_$i_1','fmb_$i_1')
& cheap('fmb_$i_1','fmb_$i_2')
& cheap('fmb_$i_2','fmb_$i_1')
& ~ cheap('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_fellow,type,
fellow: ( $i * $i ) > $o ).
tff(predicate_fellow,axiom,
( ~ fellow('fmb_$i_1','fmb_$i_1')
& fellow('fmb_$i_1','fmb_$i_2')
& ~ fellow('fmb_$i_2','fmb_$i_1')
& fellow('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_young,type,
young: ( $i * $i ) > $o ).
tff(predicate_young,axiom,
( ~ young('fmb_$i_1','fmb_$i_1')
& young('fmb_$i_1','fmb_$i_2')
& ~ young('fmb_$i_2','fmb_$i_1')
& young('fmb_$i_2','fmb_$i_2') ) ).
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_2','fmb_$i_1')
& state('fmb_$i_2','fmb_$i_2') ) ).
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_2','fmb_$i_1')
& be('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_2')
& be('fmb_$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_2','fmb_$i_1')
& be('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_2')
& be('fmb_$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_2','fmb_$i_1')
& be('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_2')
& be('fmb_$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_2','fmb_$i_1')
& be('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_2') ) ).
tff(declare_wear,type,
wear: ( $i * $i ) > $o ).
tff(predicate_wear,axiom,
( ~ wear('fmb_$i_1','fmb_$i_1')
& ~ wear('fmb_$i_1','fmb_$i_2')
& ~ wear('fmb_$i_2','fmb_$i_1')
& wear('fmb_$i_2','fmb_$i_2') ) ).
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_2','fmb_$i_1')
& nonreflexive('fmb_$i_2','fmb_$i_2') ) ).
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_$i_2','fmb_$i_1')
& patient('fmb_$i_1','fmb_$i_2','fmb_$i_2')
& patient('fmb_$i_2','fmb_$i_1','fmb_$i_1')
& patient('fmb_$i_2','fmb_$i_1','fmb_$i_2')
& patient('fmb_$i_2','fmb_$i_2','fmb_$i_1')
& patient('fmb_$i_2','fmb_$i_2','fmb_$i_2') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NLP165-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n013.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % 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 18:15:06 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.21/0.46 % (469268)Will run a generic schedule for satisfiability detection.
% 0.21/0.46 % (469277)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3395296495:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.46 % (469274)% WARNING: option uhcvi not known.
% 0.21/0.46 % (469276)dis+10_1_sil=32000:sp=arity:random_seed=4275871817:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.46 % (469273)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1065900030_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.46 % (469274)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4194598387:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.46 % (469275)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4059237325:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.46 % (469278)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3131994165:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.46 % (469279)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1104165001:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.46 % TRYING [1]
% 0.21/0.46 % TRYING [2]
% 0.21/0.46 % Finite Model Found!
% 0.21/0.46 % SZS status Satisfiable for theBenchmark
% 0.21/0.46 % (469273) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-469268-469273"...
% 0.21/0.46 % (469278) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-469268-469278"...
% 0.21/0.46 % (469273)...printing done.
% 0.21/0.46 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.21/0.47 % (469273)------------------------------
% 0.21/0.47 % (469273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.47 % (469273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.47 % (469273)CaDiCaL version: 2.1.3
% 0.21/0.47 % (469273)Termination reason: Satisfiable
% 0.21/0.47 % (469273)Time elapsed: 0.014 s
% 0.21/0.47 % (469273)Peak memory usage: 12 MB
% 0.21/0.47 % (469273)Instructions burned: 25 (million)
% 0.21/0.47 % (469268)Success in time 0.049 s
% 0.21/0.47 % Vampire exiting
%------------------------------------------------------------------------------