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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR148^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n014.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 : Wed Sep 30 07:47:11 AM UTC 2026

% Result   : Theorem 0.23s 0.33s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   61 (  20 unt;   0 typ;   3 def)
%            Number of atoms       :  293 (  56 equ;   0 cnn)
%            Maximal formula atoms :    6 (   4 avg)
%            Number of connectives :  299 (  52   ~;  35   |;   0   &; 188   @)
%                                         (   3 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   63 (  59 usr;  10 con; 0-4 aty)
%                                         (   5  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   67 (   0 sgn  52   !;   8   ?;  67   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    num: $tType ).

thf(type_def_6,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_2,type,
    disjointRelation_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_3,type,
    disjoint_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_5,type,
    domainSubclass_THFTYPE_IIiioIiioI: ( $i > $i > $o ) > $i > $i > $o ).

thf(func_def_6,type,
    domainSubclass_THFTYPE_IiiioI: $i > $i > $i > $o ).

thf(func_def_7,type,
    domain_THFTYPE_IIIiioIIiioIoIiioI: ( ( $i > $i > $o ) > ( $i > $i > $o ) > $o ) > $i > $i > $o ).

thf(func_def_8,type,
    domain_THFTYPE_IIiiIiioI: ( $i > $i ) > $i > $i > $o ).

thf(func_def_9,type,
    domain_THFTYPE_IIiiioIiioI: ( $i > $i > $i > $o ) > $i > $i > $o ).

thf(func_def_10,type,
    domain_THFTYPE_IIiioIiioI: ( $i > $i > $o ) > $i > $i > $o ).

thf(func_def_11,type,
    domain_THFTYPE_IiiioI: $i > $i > $i > $o ).

thf(func_def_12,type,
    duration_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_15,type,
    holdsDuring_THFTYPE_IiooI: $i > $o > $o ).

thf(func_def_16,type,
    instance_THFTYPE_IIIiioIiioIioI: ( ( $i > $i > $o ) > $i > $i > $o ) > $i > $o ).

thf(func_def_17,type,
    instance_THFTYPE_IIiiIioI: ( $i > $i ) > $i > $o ).

thf(func_def_18,type,
    instance_THFTYPE_IIiiiIioI: ( $i > $i > $i ) > $i > $o ).

thf(func_def_19,type,
    instance_THFTYPE_IIiiioIioI: ( $i > $i > $i > $o ) > $i > $o ).

thf(func_def_20,type,
    instance_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).

thf(func_def_21,type,
    instance_THFTYPE_IIiooIioI: ( $i > $o > $o ) > $i > $o ).

thf(func_def_22,type,
    instance_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_26,type,
    lBeginFn_THFTYPE_IiiI: $i > $i ).

thf(func_def_30,type,
    lCardinalityFn_THFTYPE_IiiI: $i > $i ).

thf(func_def_33,type,
    lEndFn_THFTYPE_IiiI: $i > $i ).

thf(func_def_39,type,
    lMeasureFn_THFTYPE_IiiiI: $i > $i > $i ).

thf(func_def_51,type,
    lTemporalCompositionFn_THFTYPE_IiiiI: $i > $i > $i ).

thf(func_def_59,type,
    lWhenFn_THFTYPE_IiiI: $i > $i ).

thf(func_def_61,type,
    lYearFn_THFTYPE_IiiI: $i > $i ).

thf(func_def_65,type,
    likes_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_66,type,
    located_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_67,type,
    meetsTemporally_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_68,type,
    minus_THFTYPE_IiiiI: $i > $i > $i ).

thf(func_def_75,type,
    part_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_77,type,
    rangeSubclass_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_78,type,
    range_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_79,type,
    relatedInternalConcept_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).

thf(func_def_80,type,
    relatedInternalConcept_THFTYPE_IiIiiIoI: $i > ( $i > $i ) > $o ).

thf(func_def_81,type,
    relatedInternalConcept_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_83,type,
    subProcess_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_84,type,
    subclass_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_85,type,
    subrelation_THFTYPE_IIioIIioIoI: ( $i > $o ) > ( $i > $o ) > $o ).

thf(func_def_86,type,
    subrelation_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_87,type,
    temporalPart_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_89,type,
    vNOT: $o > $o ).

thf(func_def_92,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_93,type,
    vIMP: $o > $o > $o ).

thf(func_def_94,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_95,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_96,type,
    vAND: $o > $o > $o ).

thf(func_def_97,type,
    sK0: $i > $i > $i ).

thf(func_def_99,type,
    sK2: ( $i > $i > $o ) > $i ).

thf(func_def_100,type,
    sK3: ( $i > $i > $o ) > $i ).

thf(func_def_101,type,
    sK4: ( $i > $i > $o ) > $i ).

thf(func_def_102,type,
    sK5: ( $i > $i > $o ) > $i ).

thf(f6,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ! [X0: $i] :
        ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0 )
       => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_005) ).

thf(f9,axiom,
    ! [X0: $o,X1: $i] :
      ( X0
     => ( holdsDuring_THFTYPE_IiooI @ X1 @ X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_008) ).

thf(f25,axiom,
    ! [X0: $i,X1: $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ X0 @ ~ X1 )
     => ~ ( holdsDuring_THFTYPE_IiooI @ X0 @ X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_024) ).

thf(f26,axiom,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_025) ).

thf(f193,conjecture,
    ? [X0: $i,X1: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

thf(f194,negated_conjecture,
    ~ ? [X0: $i,X1: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 ) ),
    inference(negated_conjecture,[status(cth)],[f193]) ).

thf(f197,plain,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ! [X0: $i] :
        ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0 )
       => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 ) ) ),
    inference(rectify,[],[f6]) ).

thf(f198,plain,
    ( $true
    = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( !! @ $i
        @ ^ [Y0: $i] :
            ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ Y0 )
           => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Y0 ) ) ) ) ),
    inference(fool_elimination,[],[f197]) ).

thf(f325,plain,
    ~ ? [X0: $i,X1: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 ) ),
    inference(rectify,[],[f194]) ).

thf(f326,plain,
    ~ ? [X1: $i,X0: $i] :
        ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 ) )
        = $true ),
    inference(fool_elimination,[],[f325]) ).

thf(f353,plain,
    ! [X0: $o,X1: $i] :
      ( X0
     => ( holdsDuring_THFTYPE_IiooI @ X1 @ X0 ) ),
    inference(rectify,[],[f9]) ).

thf(f354,plain,
    ! [X0: $o,X1: $i] :
      ( ( $true = X0 )
     => ( ( holdsDuring_THFTYPE_IiooI @ X1 @ X0 )
        = $true ) ),
    inference(fool_elimination,[],[f353]) ).

thf(f373,plain,
    ! [X0: $i,X1: $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ X0 @ ~ X1 )
     => ~ ( holdsDuring_THFTYPE_IiooI @ X0 @ X1 ) ),
    inference(rectify,[],[f25]) ).

thf(f374,plain,
    ! [X0: $i,X1: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ X0 @ ~ X1 )
        = $true )
     => ( ( ~ ( holdsDuring_THFTYPE_IiooI @ X0 @ X1 ) )
        = $true ) ),
    inference(fool_elimination,[],[f373]) ).

thf(f445,plain,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
    inference(rectify,[],[f26]) ).

thf(f446,plain,
    ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(fool_elimination,[],[f445]) ).

thf(f589,plain,
    ! [X1: $o,X0: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ X0 @ ~ X1 )
       != $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ X0 @ X1 ) )
        = $true ) ),
    inference(ennf_transformation,[],[f374]) ).

thf(f615,plain,
    ! [X1: $i,X0: $o] :
      ( ( $true != X0 )
      | ( ( holdsDuring_THFTYPE_IiooI @ X1 @ X0 )
        = $true ) ),
    inference(ennf_transformation,[],[f354]) ).

thf(f620,plain,
    ! [X1: $i,X0: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 ) )
     != $true ),
    inference(ennf_transformation,[],[f326]) ).

thf(f633,plain,
    ! [X0: $i,X1: $o] :
      ( ( $true != X1 )
      | ( ( holdsDuring_THFTYPE_IiooI @ X0 @ X1 )
        = $true ) ),
    inference(rectify,[],[f615]) ).

thf(f638,plain,
    ! [X0: $i,X1: $i] :
      ( $true
     != ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X0 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) ) ),
    inference(rectify,[],[f620]) ).

thf(f661,plain,
    ! [X0: $o,X1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ X1 @ ~ X0 )
       != $true )
      | ( $true
        = ( ~ ( holdsDuring_THFTYPE_IiooI @ X1 @ X0 ) ) ) ),
    inference(rectify,[],[f589]) ).

thf(f669,plain,
    ! [X0: $i,X1: $o] :
      ( ( $true != X1 )
      | ( ( holdsDuring_THFTYPE_IiooI @ X0 @ X1 )
        = $true ) ),
    inference(cnf_transformation,[],[f633]) ).

thf(f703,plain,
    ! [X0: $i,X1: $i] :
      ( $true
     != ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X0 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) ) ),
    inference(cnf_transformation,[],[f638]) ).

thf(f791,plain,
    ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(cnf_transformation,[],[f446]) ).

thf(f841,plain,
    ! [X0: $o,X1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ X1 @ ~ X0 )
       != $true )
      | ( $true
        = ( ~ ( holdsDuring_THFTYPE_IiooI @ X1 @ X0 ) ) ) ),
    inference(cnf_transformation,[],[f661]) ).

thf(f865,plain,
    ( $true
    = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( !! @ $i
        @ ^ [Y0: $i] :
            ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ Y0 )
           => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Y0 ) ) ) ) ),
    inference(cnf_transformation,[],[f198]) ).

thf(f869,plain,
    ! [X0: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ X0 @ $true )
      = $true ),
    inference(equality_resolution,[],[f669]) ).

thf(f876,plain,
    ! [X0: $o,X1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ X1 @ ~ X0 )
       != $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ X1 @ X0 )
        = $false ) ),
    inference(not_proxy_clausification,[],[f841]) ).

thf(f1006,definition,
    ( spl6_25
  <=> ( $true
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ( !! @ $i
          @ ^ [Y0: $i] :
              ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ Y0 )
             => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Y0 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl6_25])],[avatar_definition]) ).

thf(f1008,plain,
    ( ( $true
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ( !! @ $i
          @ ^ [Y0: $i] :
              ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ Y0 )
             => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Y0 ) ) ) ) )
    | ~ spl6_25 ),
    inference(avatar_component_clause,[],[f1006]) ).

thf(f1009,plain,
    spl6_25,
    inference(avatar_split_clause,[],[f865,f1006]) ).

thf(f1016,definition,
    ( spl6_27
  <=> ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl6_27])],[avatar_definition]) ).

thf(f1018,plain,
    ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ~ spl6_27 ),
    inference(avatar_component_clause,[],[f1016]) ).

thf(f1019,plain,
    spl6_27,
    inference(avatar_split_clause,[],[f791,f1016]) ).

thf(f1660,plain,
    ! [X0: $i,X1: $i] :
      ( ( $false
        = ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) )
      | ( $true
       != ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X0 ) @ $true ) ) ),
    inference(fool_paramodulation,[],[f703]) ).

thf(f1661,plain,
    ! [X1: $i] :
      ( $false
      = ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) ),
    inference(forward_subsumption_resolution,[],[f1660,f869]) ).

thf(f1663,plain,
    ! [X0: $o,X1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ X1 @ X0 )
        = $false )
      | ( $false = ( ~ X0 ) )
      | ( ( holdsDuring_THFTYPE_IiooI @ X1 @ $true )
       != $true ) ),
    inference(fool_paramodulation,[],[f876]) ).

thf(f1664,plain,
    ! [X0: $o,X1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ X1 @ X0 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ X1 @ $true )
       != $true )
      | ( $true = X0 ) ),
    inference(not_proxy_clausification,[],[f1663]) ).

thf(f1665,plain,
    ! [X0: $o,X1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ X1 @ X0 )
        = $false )
      | ( $true = X0 ) ),
    inference(forward_subsumption_resolution,[],[f1664,f869]) ).

thf(f1712,plain,
    ( ( $true
      = ( !! @ $i
        @ ^ [Y0: $i] :
            ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ Y0 )
           => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Y0 ) ) ) )
    | ( $true = $false )
    | ~ spl6_25 ),
    inference(superposition,[],[f1665,f1008]) ).

thf(f1721,plain,
    ( ! [X1: $i] :
        ( ( $true
          = ( ^ [Y0: $i] :
                ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ Y0 )
               => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Y0 ) )
            @ X1 ) )
        | ( $true = $false ) )
    | ~ spl6_25 ),
    inference(pi_proxy_clausification,[],[f1712]) ).

thf(f1722,plain,
    ( ! [X1: $i] :
        ( $true
        = ( ^ [Y0: $i] :
              ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ Y0 )
             => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Y0 ) )
          @ X1 ) )
    | ~ spl6_25 ),
    inference(trivial_inequality_removal,[],[f1721]) ).

thf(f1723,plain,
    ( ! [X1: $i] :
        ( $true
        = ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 )
         => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) ) )
    | ~ spl6_25 ),
    inference(beta-eta_normalization,[],[f1722]) ).

thf(f1724,plain,
    ( ! [X1: $i] :
        ( ( $false
          = ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 ) )
        | ( $true
          = ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) ) )
    | ~ spl6_25 ),
    inference(imp_proxy_clausification,[],[f1723]) ).

thf(f1731,plain,
    ( ! [X1: $i] :
        ( ( $false
          = ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 ) )
        | ( $true = $false ) )
    | ~ spl6_25 ),
    inference(forward_demodulation,[],[f1724,f1661]) ).

thf(f1732,plain,
    ( ! [X1: $i] :
        ( $false
        = ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 ) )
    | ~ spl6_25 ),
    inference(trivial_inequality_removal,[],[f1731]) ).

thf(f1739,definition,
    ( spl6_157
  <=> ! [X1: $i] :
        ( $false
        = ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl6_157])],[avatar_definition]) ).

thf(f1740,plain,
    ( ! [X1: $i] :
        ( $false
        = ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 ) )
    | ~ spl6_157 ),
    inference(avatar_component_clause,[],[f1739]) ).

thf(f1742,plain,
    ( spl6_157
    | ~ spl6_25 ),
    inference(avatar_split_clause,[],[f1732,f1006,f1739]) ).

thf(f1744,plain,
    ( ( $true = $false )
    | ~ spl6_27
    | ~ spl6_157 ),
    inference(superposition,[],[f1018,f1740]) ).

thf(f1747,plain,
    ( $false
    | ~ spl6_27
    | ~ spl6_157 ),
    inference(trivial_inequality_removal,[],[f1744]) ).

thf(f1748,plain,
    ( ~ spl6_27
    | ~ spl6_157 ),
    inference(avatar_contradiction_clause,[],[f1747]) ).

cnf(s25,plain,
    spl6_25,
    inference(sat_conversion,[],[f1009]) ).

cnf(s27,plain,
    spl6_27,
    inference(sat_conversion,[],[f1019]) ).

cnf(s158,plain,
    ( ~ spl6_25
    | spl6_157 ),
    inference(sat_conversion,[],[f1742]) ).

cnf(s161,plain,
    ( ~ spl6_27
    | ~ spl6_157 ),
    inference(sat_conversion,[],[f1748]) ).

cnf(s162,plain,
    ~ spl6_157,
    inference(rat,[],[s161,s27]) ).

cnf(s163,plain,
    ~ spl6_25,
    inference(rat,[],[s158,s162]) ).

cnf(s164,plain,
    $false,
    inference(rat,[],[s25,s163]) ).

thf(f1749,plain,
    $false,
    inference(avatar_sat_refutation,[],[s164]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR148^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19  % Computer : n014.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Tue Sep 29 17:57:00 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22  Running higher-order theorem proving
% 0.09/0.25  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.33  % (3002316)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.23/0.33  % (3002329)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2279524438:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.23/0.33  % (3002329)Instruction limit reached! 
% 0.23/0.33  % (3002329)------------------------------
% 0.23/0.33  % (3002329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.33  % (3002329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.33  % (3002329)CaDiCaL version: 2.1.3
% 0.23/0.33  % (3002329)Termination reason: Instruction limit
% 0.23/0.33  % (3002329)Termination phase: shuffling
% 0.23/0.33  % (3002329)Time elapsed: 0.001 s
% 0.23/0.33  % (3002329)Peak memory usage: 10 MB
% 0.23/0.33  % (3002329)Instructions burned: 4 (million)
% 0.23/0.33  % (3002334)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.23/0.33  % (3002334)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.23/0.33  % (3002327)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1850528538:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.23/0.33  % (3002328)lrs+10_16_si=on:nwc=1.5:random_seed=644342910:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.23/0.33  % (3002331)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2470086675:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.23/0.33  % (3002333)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1424789860:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.23/0.33  % (3002330)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=3393645488:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.23/0.33  % (3002334)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=2313938898:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.23/0.33  % (3002344)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3297652032:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.23/0.33  % (3002344)Instruction limit reached! 
% 0.23/0.33  % (3002344)------------------------------
% 0.23/0.33  % (3002344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.33  % (3002344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.33  % (3002344)CaDiCaL version: 2.1.3
% 0.23/0.33  % (3002344)Termination reason: Instruction limit
% 0.23/0.33  % (3002344)Termination phase: shuffling
% 0.23/0.33  % (3002344)Time elapsed: 0.001 s
% 0.23/0.33  % (3002344)Peak memory usage: 10 MB
% 0.23/0.33  % (3002344)Instructions burned: 4 (million)
% 0.23/0.33  % (3002328)Instruction limit reached! 
% 0.23/0.33  % (3002328)------------------------------
% 0.23/0.33  % (3002328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.33  % (3002328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.33  % (3002328)CaDiCaL version: 2.1.3
% 0.23/0.33  % (3002328)Termination reason: Instruction limit
% 0.23/0.33  % (3002328)Termination phase: Property scanning
% 0.23/0.33  % (3002328)Time elapsed: 0.008 s
% 0.23/0.33  % (3002328)Peak memory usage: 11 MB
% 0.23/0.33  % (3002328)Instructions burned: 19 (million)
% 0.23/0.33  % (3002331)Instruction limit reached! 
% 0.23/0.33  % (3002331)------------------------------
% 0.23/0.33  % (3002331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.33  % (3002331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.33  % (3002331)CaDiCaL version: 2.1.3
% 0.23/0.33  % (3002331)Termination reason: Instruction limit
% 0.23/0.33  % (3002331)Termination phase: Saturation
% 0.23/0.33  % (3002331)Time elapsed: 0.010 s
% 0.23/0.33  % (3002331)Peak memory usage: 11 MB
% 0.23/0.33  % (3002331)Instructions burned: 24 (million)
% 0.23/0.33  % (3002359)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=119810715:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.23/0.33  % (3002359)Instruction limit reached! 
% 0.23/0.33  % (3002359)------------------------------
% 0.23/0.33  % (3002359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.33  % (3002359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.33  % (3002359)CaDiCaL version: 2.1.3
% 0.23/0.33  % (3002359)Termination reason: Instruction limit
% 0.23/0.33  % (3002359)Termination phase: Property scanning
% 0.23/0.33  % (3002359)Time elapsed: 0.002 s
% 0.23/0.33  % (3002359)Peak memory usage: 10 MB
% 0.23/0.33  % (3002359)Instructions burned: 9 (million)
% 0.23/0.33  % (3002363)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.23/0.33  % (3002330) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3002316-3002330"...
% 0.23/0.33  % (3002372)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.23/0.33  % (3002372)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.23/0.33  % (3002330)...printing done.
% 0.23/0.33  % (3002372)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=136716055:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.23/0.33  % (3002363)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=743069204:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.23/0.33  % (3002330)Refutation found. Thanks to Tanya!
% 0.23/0.33  % SZS status Theorem for theBenchmark
% 0.23/0.33  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.34  % (3002330)------------------------------
% 0.23/0.34  % (3002330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.34  % (3002330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.34  % (3002330)CaDiCaL version: 2.1.3
% 0.23/0.34  % (3002330)Termination reason: Refutation
% 0.23/0.34  % (3002330)Time elapsed: 0.026 s
% 0.23/0.34  % (3002330)Peak memory usage: 14 MB
% 0.23/0.34  % (3002330)Instructions burned: 49 (million)
% 0.23/0.34  % (3002316)Success in time 0.074 s
% 0.23/0.34  % Vampire exiting
%------------------------------------------------------------------------------