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Vampire-SAT---5.0.1.SAT-FMo.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : NLP193-1 : 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 : n011.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 12:09:19 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('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_skc73,type,
    skc73: $i ).

tff(skc73_definition,axiom,
    skc73 = 'fmb_$i_1' ).

tff(declare_skc25,type,
    skc25: $i ).

tff(skc25_definition,axiom,
    skc25 = 'fmb_$i_2' ).

tff(declare_skc81,type,
    skc81: $i ).

tff(skc81_definition,axiom,
    skc81 = 'fmb_$i_1' ).

tff(declare_skc84,type,
    skc84: $i ).

tff(skc84_definition,axiom,
    skc84 = 'fmb_$i_1' ).

tff(declare_skc82,type,
    skc82: $i ).

tff(skc82_definition,axiom,
    skc82 = 'fmb_$i_2' ).

tff(declare_skc83,type,
    skc83: $i ).

tff(skc83_definition,axiom,
    skc83 = 'fmb_$i_1' ).

tff(declare_skc78,type,
    skc78: $i ).

tff(skc78_definition,axiom,
    skc78 = 'fmb_$i_1' ).

tff(declare_skc79,type,
    skc79: $i ).

tff(skc79_definition,axiom,
    skc79 = 'fmb_$i_2' ).

tff(declare_skc80,type,
    skc80: $i ).

tff(skc80_definition,axiom,
    skc80 = 'fmb_$i_2' ).

tff(declare_skc76,type,
    skc76: $i ).

tff(skc76_definition,axiom,
    skc76 = 'fmb_$i_2' ).

tff(declare_skc77,type,
    skc77: $i ).

tff(skc77_definition,axiom,
    skc77 = 'fmb_$i_2' ).

tff(declare_skc75,type,
    skc75: $i ).

tff(skc75_definition,axiom,
    skc75 = 'fmb_$i_1' ).

tff(declare_skc34,type,
    skc34: $i ).

tff(skc34_definition,axiom,
    skc34 = 'fmb_$i_2' ).

tff(declare_skc37,type,
    skc37: $i ).

tff(skc37_definition,axiom,
    skc37 = 'fmb_$i_2' ).

tff(declare_skc35,type,
    skc35: $i ).

tff(skc35_definition,axiom,
    skc35 = 'fmb_$i_2' ).

tff(declare_skc36,type,
    skc36: $i ).

tff(skc36_definition,axiom,
    skc36 = 'fmb_$i_2' ).

tff(declare_skc31,type,
    skc31: $i ).

tff(skc31_definition,axiom,
    skc31 = 'fmb_$i_2' ).

tff(declare_skc32,type,
    skc32: $i ).

tff(skc32_definition,axiom,
    skc32 = 'fmb_$i_2' ).

tff(declare_skc33,type,
    skc33: $i ).

tff(skc33_definition,axiom,
    skc33 = 'fmb_$i_2' ).

tff(declare_skc30,type,
    skc30: $i ).

tff(skc30_definition,axiom,
    skc30 = 'fmb_$i_1' ).

tff(declare_skc27,type,
    skc27: $i ).

tff(skc27_definition,axiom,
    skc27 = 'fmb_$i_2' ).

tff(declare_skc28,type,
    skc28: $i ).

tff(skc28_definition,axiom,
    skc28 = 'fmb_$i_2' ).

tff(declare_skc29,type,
    skc29: $i ).

tff(skc29_definition,axiom,
    skc29 = 'fmb_$i_2' ).

tff(declare_skc74,type,
    skc74: $i ).

tff(skc74_definition,axiom,
    skc74 = 'fmb_$i_2' ).

tff(declare_skc26,type,
    skc26: $i ).

tff(skc26_definition,axiom,
    skc26 = '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_skf24,type,
    skf24: ( $i * $i ) > $i ).

tff(function_skf24,axiom,
    ( ( skf24('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
    & ( skf24('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
    & ( skf24('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
    & ( skf24('fmb_$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_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_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_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_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_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_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_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_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_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_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_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_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_wheel,type,
    wheel: ( $i * $i ) > $o ).

tff(predicate_wheel,axiom,
    ( wheel('fmb_$i_1','fmb_$i_1')
    & wheel('fmb_$i_1','fmb_$i_2')
    & wheel('fmb_$i_2','fmb_$i_1')
    & wheel('fmb_$i_2','fmb_$i_2') ) ).

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_$i_2','fmb_$i_1')
    & jules_forename('fmb_$i_2','fmb_$i_2') ) ).

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_$i_2','fmb_$i_1')
    & forename('fmb_$i_2','fmb_$i_2') ) ).

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_$i_2','fmb_$i_1')
    & man('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_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_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_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_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_behind,type,
    behind: ( $i * $i * $i ) > $o ).

tff(predicate_behind,axiom,
    ( behind('fmb_$i_1','fmb_$i_1','fmb_$i_1')
    & behind('fmb_$i_1','fmb_$i_1','fmb_$i_2')
    & behind('fmb_$i_1','fmb_$i_2','fmb_$i_1')
    & behind('fmb_$i_1','fmb_$i_2','fmb_$i_2')
    & behind('fmb_$i_2','fmb_$i_1','fmb_$i_1')
    & behind('fmb_$i_2','fmb_$i_1','fmb_$i_2')
    & behind('fmb_$i_2','fmb_$i_2','fmb_$i_1')
    & ~ behind('fmb_$i_2','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_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_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_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
% 0.00/0.02  % Problem  : NLP193-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37  % Computer : n011.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sun Sep 27 18:23:00 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41  Running first-order model finding
% 0.10/0.41  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
% 0.10/0.45  % (2669727)Will run a generic schedule for satisfiability detection.
% 0.10/0.45  % (2669732)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=752887708_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.45  % (2669733)% WARNING: option uhcvi not known.
% 0.10/0.45  % TRYING [1]
% 0.10/0.45  % (2669733)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=956609095:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.45  % TRYING [2]
% 0.10/0.45  % (2669734)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=542297900:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.45  % (2669735)dis+10_1_sil=32000:sp=arity:random_seed=3978311206:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.45  % (2669736)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4161679171:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.45  % (2669737)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2128839875:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.45  % (2669738)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1412994128:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.45  % Finite Model Found!
% 0.10/0.45  % SZS status Satisfiable for theBenchmark
% 0.10/0.45  % (2669732) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2669727-2669732"...
% 0.10/0.45  % (2669732)...printing done.
% 0.10/0.45  % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.10/0.46  % (2669732)------------------------------
% 0.10/0.46  % (2669732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.46  % (2669732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.46  % (2669732)CaDiCaL version: 2.1.3
% 0.10/0.46  % (2669732)Termination reason: Satisfiable
% 0.10/0.46  % (2669732)Time elapsed: 0.010 s
% 0.10/0.46  % (2669732)Peak memory usage: 12 MB
% 0.10/0.46  % (2669732)Instructions burned: 33 (million)
% 0.10/0.46  % (2669727)Success in time 0.036 s
% 0.10/0.46  % Vampire exiting
%------------------------------------------------------------------------------