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DT2H2X---1.9.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : NLP267^5 : TPTP v9.2.1. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Feb 25 09:22:27 AM UTC 2026

% Result   : Theorem 1.53s 1.22s
% Output   : Refutation 1.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   81 (  48 unt;   0 typ;   3 def)
%            Number of atoms       :  427 (  80 equ;   0 cnn)
%            Maximal formula atoms :   10 (   5 avg)
%            Number of connectives :  406 (  20   ~;  29   |;  10   &; 305   @)
%                                         (   3 <=>;  29  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   35 (  35   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   24 (  20 usr;  11 con; 0-3 aty)
%                                         (  10  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   80 (  67   ^;  13   !;   0   ?;  80   :)

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

thf(func_def_0,type,
    mworld: $tType ).

thf(func_def_1,type,
    mrel: mworld > mworld > $o ).

thf(func_def_2,type,
    mactual: mworld ).

thf(func_def_3,type,
    mlocal: ( mworld > $o ) > $o ).

thf(func_def_5,type,
    mnot: ( mworld > $o ) > mworld > $o ).

thf(func_def_6,type,
    mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_7,type,
    mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_8,type,
    mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_9,type,
    mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_10,type,
    mbox: ( mworld > $o ) > mworld > $o ).

thf(func_def_11,type,
    mdia: ( mworld > $o ) > mworld > $o ).

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

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

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

thf(func_def_34,type,
    sK1: mworld ).

thf(f275,plain,
    $false,
    inference(avatar_sat_refutation,[status(thm)],[f178,f221,f259,f272]) ).

thf(f272,plain,
    ~ spl0_8,
    inference(avatar_contradiction_clause,[status(thm)],[f271]) ).

thf(f271,plain,
    ( $false
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[status(thm)],[f266]) ).

thf(f266,plain,
    ( ( $false = $true )
    | ~ spl0_8 ),
    inference(superposition,[status(thm)],[f97,f218]) ).

thf(f218,plain,
    ( ( ( price @ seventy @ sK1 )
      = $true )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[status(thm)],[f216]) ).

thf(f216,definition,
    ( spl0_8
  <=> ( ( price @ seventy @ sK1 )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl0_8])],[avatar_definition]) ).

thf(f97,plain,
    ( ( price @ seventy @ sK1 )
    = $false ),
    inference(binary_proxy_clausification,[status(thm)],[f96]) ).

thf(f96,plain,
    ( $false
    = ( ( mrel @ mactual @ sK1 )
     => ( price @ seventy @ sK1 ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f95]) ).

thf(f95,plain,
    ( $false
    = ( ^ [Y0: mworld] :
          ( ( mrel @ mactual @ Y0 )
         => ( price @ seventy @ Y0 ) )
      @ sK1 ) ),
    inference(sigma_clausification,[status(thm)],[f94]) ).

thf(f94,plain,
    ( ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ mactual @ Y0 )
         => ( price @ seventy @ Y0 ) ) )
   != $true ),
    inference(beta_eta_normalization,[status(thm)],[f76]) ).

thf(f76,plain,
    ( $true
   != ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
      @ ( ^ [Y0: mworld > $o,Y1: mworld] :
            ( !! @ mworld
            @ ^ [Y2: mworld] :
                ( ( mrel @ Y1 @ Y2 )
               => ( Y0 @ Y2 ) ) )
        @ ( price @ seventy ) ) ) ),
    inference(definition_unfolding,[status(thm)],[f64,f65,f56]) ).

thf(f56,plain,
    ( mbox
    = ( ^ [Y0: mworld > $o,Y1: mworld] :
          ( !! @ mworld
          @ ^ [Y2: mworld] :
              ( ( mrel @ Y1 @ Y2 )
             => ( Y0 @ Y2 ) ) ) ) ),
    inference(cnf_transformation,[status(thm)],[f28]) ).

thf(f28,plain,
    ( mbox
    = ( ^ [Y0: mworld > $o,Y1: mworld] :
          ( !! @ mworld
          @ ^ [Y2: mworld] :
              ( ( mrel @ Y1 @ Y2 )
             => ( Y0 @ Y2 ) ) ) ) ),
    inference(fool_elimination,[status(thm)],[f27]) ).

thf(f27,plain,
    ( ( ^ [X0: mworld > $o,X1: mworld] :
        ! [X2: mworld] :
          ( ( mrel @ X1 @ X2 )
         => ( X0 @ X2 ) ) )
    = mbox ),
    inference(rectify,[status(thm)],[f7]) ).

thf(f7,axiom,
    ( ( ^ [X0: mworld > $o,X2: mworld] :
        ! [X4: mworld] :
          ( ( mrel @ X2 @ X4 )
         => ( X0 @ X4 ) ) )
    = mbox ),
    file('/export/starexec/sandbox2/tmp/tmp.zxlUfOebyy/DTF2THF_6576.p',mbox_def) ).

thf(f65,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(cnf_transformation,[status(thm)],[f24]) ).

thf(f24,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(fool_elimination,[status(thm)],[f1]) ).

thf(f1,axiom,
    ( ( ^ [X0: mworld > $o] : ( X0 @ mactual ) )
    = mlocal ),
    file('/export/starexec/sandbox2/tmp/tmp.zxlUfOebyy/DTF2THF_6576.p',mlocal_def) ).

thf(f64,plain,
    ( ( mlocal @ ( mbox @ ( price @ seventy ) ) )
   != $true ),
    inference(cnf_transformation,[status(thm)],[f53]) ).

thf(f53,plain,
    ( ( mlocal @ ( mbox @ ( price @ seventy ) ) )
   != $true ),
    inference(flattening,[status(thm)],[f50]) ).

thf(f50,plain,
    ( ( mlocal @ ( mbox @ ( price @ seventy ) ) )
   != $true ),
    inference(fool_elimination,[status(thm)],[f49]) ).

thf(f49,plain,
    ~ ( mlocal @ ( mbox @ ( price @ seventy ) ) ),
    inference(rectify,[status(thm)],[f18]) ).

thf(f18,negated_conjecture,
    ~ ( mlocal @ ( mbox @ ( price @ seventy ) ) ),
    inference(negated_conjecture,[status(cth)],[f17]) ).

thf(f17,conjecture,
    mlocal @ ( mbox @ ( price @ seventy ) ),
    file('/export/starexec/sandbox2/tmp/tmp.zxlUfOebyy/DTF2THF_6576.p',con) ).

thf(f259,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[status(thm)],[f258]) ).

thf(f258,plain,
    ( $false
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[status(thm)],[f254]) ).

thf(f254,plain,
    ( ( $false = $true )
    | ~ spl0_7 ),
    inference(superposition,[status(thm)],[f124,f214]) ).

thf(f214,plain,
    ( ( $false
      = ( dest @ paris @ sK1 ) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[status(thm)],[f212]) ).

thf(f212,definition,
    ( spl0_7
  <=> ( $false
      = ( dest @ paris @ sK1 ) ) ),
    introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition]) ).

thf(f124,plain,
    ( $true
    = ( dest @ paris @ sK1 ) ),
    inference(trivial_inequality_removal,[status(thm)],[f117]) ).

thf(f117,plain,
    ( ( $false = $true )
    | ( $true
      = ( dest @ paris @ sK1 ) ) ),
    inference(superposition,[status(thm)],[f83,f98]) ).

thf(f98,plain,
    ( $true
    = ( mrel @ mactual @ sK1 ) ),
    inference(binary_proxy_clausification,[status(thm)],[f96]) ).

thf(f83,plain,
    ! [X1: mworld] :
      ( ( ( mrel @ mactual @ X1 )
        = $false )
      | ( ( dest @ paris @ X1 )
        = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f82]) ).

thf(f82,plain,
    ! [X1: mworld] :
      ( ( ( mrel @ mactual @ X1 )
       => ( dest @ paris @ X1 ) )
      = $true ),
    inference(beta_eta_normalization,[status(thm)],[f81]) ).

thf(f81,plain,
    ! [X1: mworld] :
      ( ( ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( dest @ paris @ Y0 ) )
        @ X1 )
      = $true ),
    inference(pi_clausification,[status(thm)],[f80]) ).

thf(f80,plain,
    ( ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ mactual @ Y0 )
         => ( dest @ paris @ Y0 ) ) )
    = $true ),
    inference(beta_eta_normalization,[status(thm)],[f79]) ).

thf(f79,plain,
    ( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
      @ ( ^ [Y0: mworld > $o,Y1: mworld] :
            ( !! @ mworld
            @ ^ [Y2: mworld] :
                ( ( mrel @ Y1 @ Y2 )
               => ( Y0 @ Y2 ) ) )
        @ ( dest @ paris ) ) )
    = $true ),
    inference(definition_unfolding,[status(thm)],[f72,f65,f56]) ).

thf(f72,plain,
    ( ( mlocal @ ( mbox @ ( dest @ paris ) ) )
    = $true ),
    inference(cnf_transformation,[status(thm)],[f44]) ).

thf(f44,plain,
    ( ( mlocal @ ( mbox @ ( dest @ paris ) ) )
    = $true ),
    inference(fool_elimination,[status(thm)],[f43]) ).

thf(f43,plain,
    mlocal @ ( mbox @ ( dest @ paris ) ),
    inference(rectify,[status(thm)],[f15]) ).

thf(f15,axiom,
    mlocal @ ( mbox @ ( dest @ paris ) ),
    file('/export/starexec/sandbox2/tmp/tmp.zxlUfOebyy/DTF2THF_6576.p',belief1) ).

thf(f221,plain,
    ( spl0_8
    | spl0_7
    | spl0_3 ),
    inference(avatar_split_clause,[status(thm)],[f220,f160,f212,f216]) ).

thf(f160,definition,
    ( spl0_3
  <=> ( $false
      = ( mrel @ mactual @ sK1 ) ) ),
    introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition]) ).

thf(f220,plain,
    ( ( ( price @ seventy @ sK1 )
      = $true )
    | ( $false
      = ( dest @ paris @ sK1 ) )
    | spl0_3 ),
    inference(subsumption_resolution,[status(thm)],[f198,f161]) ).

thf(f161,plain,
    ( ( $false
     != ( mrel @ mactual @ sK1 ) )
    | spl0_3 ),
    inference(avatar_component_clause,[status(thm)],[f160]) ).

thf(f198,plain,
    ( ( $false
      = ( mrel @ mactual @ sK1 ) )
    | ( ( price @ seventy @ sK1 )
      = $true )
    | ( $false
      = ( dest @ paris @ sK1 ) ) ),
    inference(trivial_inequality_removal,[status(thm)],[f193]) ).

thf(f193,plain,
    ( ( $false
      = ( mrel @ mactual @ sK1 ) )
    | ( ( price @ seventy @ sK1 )
      = $true )
    | ( $false
      = ( dest @ paris @ sK1 ) )
    | ( $false = $true ) ),
    inference(superposition,[status(thm)],[f132,f110]) ).

thf(f110,plain,
    ! [X1: mworld] :
      ( ( $false
        = ( class @ second @ X1 ) )
      | ( ( price @ seventy @ X1 )
        = $true )
      | ( ( mrel @ mactual @ X1 )
        = $false )
      | ( $false
        = ( dest @ paris @ X1 ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f109]) ).

thf(f109,plain,
    ! [X1: mworld] :
      ( ( ( mrel @ mactual @ X1 )
        = $false )
      | ( ( ( class @ second @ X1 )
          & ( dest @ paris @ X1 ) )
        = $false )
      | ( ( price @ seventy @ X1 )
        = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f108]) ).

thf(f108,plain,
    ! [X1: mworld] :
      ( ( ( ( ( class @ second @ X1 )
            & ( dest @ paris @ X1 ) )
         => ( price @ seventy @ X1 ) )
        = $true )
      | ( ( mrel @ mactual @ X1 )
        = $false ) ),
    inference(binary_proxy_clausification,[status(thm)],[f107]) ).

thf(f107,plain,
    ! [X1: mworld] :
      ( ( ( mrel @ mactual @ X1 )
       => ( ( ( class @ second @ X1 )
            & ( dest @ paris @ X1 ) )
         => ( price @ seventy @ X1 ) ) )
      = $true ),
    inference(beta_eta_normalization,[status(thm)],[f106]) ).

thf(f106,plain,
    ! [X1: mworld] :
      ( ( ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( ( ( class @ second @ Y0 )
                & ( dest @ paris @ Y0 ) )
             => ( price @ seventy @ Y0 ) ) )
        @ X1 )
      = $true ),
    inference(pi_clausification,[status(thm)],[f105]) ).

thf(f105,plain,
    ( ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ mactual @ Y0 )
         => ( ( ( class @ second @ Y0 )
              & ( dest @ paris @ Y0 ) )
           => ( price @ seventy @ Y0 ) ) ) )
    = $true ),
    inference(beta_eta_normalization,[status(thm)],[f75]) ).

thf(f75,plain,
    ( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
      @ ( ^ [Y0: mworld > $o,Y1: mworld] :
            ( !! @ mworld
            @ ^ [Y2: mworld] :
                ( ( mrel @ Y1 @ Y2 )
               => ( Y0 @ Y2 ) ) )
        @ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
              ( ( Y0 @ Y2 )
             => ( Y1 @ Y2 ) )
          @ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
                ( ( Y1 @ Y2 )
                & ( Y0 @ Y2 ) )
            @ ( dest @ paris )
            @ ( class @ second ) )
          @ ( price @ seventy ) ) ) )
    = $true ),
    inference(definition_unfolding,[status(thm)],[f61,f65,f56,f68,f71]) ).

thf(f71,plain,
    ( mand
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y1 @ Y2 )
          & ( Y0 @ Y2 ) ) ) ),
    inference(cnf_transformation,[status(thm)],[f46]) ).

thf(f46,plain,
    ( mand
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y1 @ Y2 )
          & ( Y0 @ Y2 ) ) ) ),
    inference(fool_elimination,[status(thm)],[f45]) ).

thf(f45,plain,
    ( mand
    = ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X0 @ X2 )
          & ( X1 @ X2 ) ) ) ),
    inference(rectify,[status(thm)],[f3]) ).

thf(f3,axiom,
    ( mand
    = ( ^ [X1: mworld > $o,X3: mworld > $o,X2: mworld] :
          ( ( X1 @ X2 )
          & ( X3 @ X2 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.zxlUfOebyy/DTF2THF_6576.p',mand_def) ).

thf(f68,plain,
    ( mimplies
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
         => ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[status(thm)],[f23]) ).

thf(f23,plain,
    ( mimplies
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
         => ( Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[status(thm)],[f22]) ).

thf(f22,plain,
    ( mimplies
    = ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X0 @ X2 )
         => ( X1 @ X2 ) ) ) ),
    inference(rectify,[status(thm)],[f5]) ).

thf(f5,axiom,
    ( mimplies
    = ( ^ [X1: mworld > $o,X3: mworld > $o,X2: mworld] :
          ( ( X1 @ X2 )
         => ( X3 @ X2 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.zxlUfOebyy/DTF2THF_6576.p',mimplies_def) ).

thf(f61,plain,
    ( ( mlocal @ ( mbox @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ) )
    = $true ),
    inference(cnf_transformation,[status(thm)],[f30]) ).

thf(f30,plain,
    ( ( mlocal @ ( mbox @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ) )
    = $true ),
    inference(fool_elimination,[status(thm)],[f29]) ).

thf(f29,plain,
    mlocal @ ( mbox @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ),
    inference(rectify,[status(thm)],[f12]) ).

thf(f12,axiom,
    mlocal @ ( mbox @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.zxlUfOebyy/DTF2THF_6576.p',law2) ).

thf(f132,plain,
    ( ( class @ second @ sK1 )
    = $true ),
    inference(trivial_inequality_removal,[status(thm)],[f125]) ).

thf(f125,plain,
    ( ( $false = $true )
    | ( ( class @ second @ sK1 )
      = $true ) ),
    inference(superposition,[status(thm)],[f87,f98]) ).

thf(f87,plain,
    ! [X1: mworld] :
      ( ( ( mrel @ mactual @ X1 )
        = $false )
      | ( ( class @ second @ X1 )
        = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f86]) ).

thf(f86,plain,
    ! [X1: mworld] :
      ( $true
      = ( ( mrel @ mactual @ X1 )
       => ( class @ second @ X1 ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f85]) ).

thf(f85,plain,
    ! [X1: mworld] :
      ( ( ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( class @ second @ Y0 ) )
        @ X1 )
      = $true ),
    inference(pi_clausification,[status(thm)],[f84]) ).

thf(f84,plain,
    ( ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ mactual @ Y0 )
         => ( class @ second @ Y0 ) ) )
    = $true ),
    inference(beta_eta_normalization,[status(thm)],[f77]) ).

thf(f77,plain,
    ( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
      @ ( ^ [Y0: mworld > $o,Y1: mworld] :
            ( !! @ mworld
            @ ^ [Y2: mworld] :
                ( ( mrel @ Y1 @ Y2 )
               => ( Y0 @ Y2 ) ) )
        @ ( class @ second ) ) )
    = $true ),
    inference(definition_unfolding,[status(thm)],[f67,f65,f56]) ).

thf(f67,plain,
    ( ( mlocal @ ( mbox @ ( class @ second ) ) )
    = $true ),
    inference(cnf_transformation,[status(thm)],[f21]) ).

thf(f21,plain,
    ( ( mlocal @ ( mbox @ ( class @ second ) ) )
    = $true ),
    inference(fool_elimination,[status(thm)],[f20]) ).

thf(f20,plain,
    mlocal @ ( mbox @ ( class @ second ) ),
    inference(rectify,[status(thm)],[f16]) ).

thf(f16,axiom,
    mlocal @ ( mbox @ ( class @ second ) ),
    file('/export/starexec/sandbox2/tmp/tmp.zxlUfOebyy/DTF2THF_6576.p',belief2) ).

thf(f178,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[status(thm)],[f177]) ).

thf(f177,plain,
    ( $false
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[status(thm)],[f169]) ).

thf(f169,plain,
    ( ( $false = $true )
    | ~ spl0_3 ),
    inference(superposition,[status(thm)],[f162,f98]) ).

thf(f162,plain,
    ( ( $false
      = ( mrel @ mactual @ sK1 ) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[status(thm)],[f160]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : NLP267^5 : TPTP v9.2.1. Released v8.1.0.
% 0.10/0.13  % Command  : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.13/0.33  % Computer : n020.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue Feb 24 10:54:42 EST 2026
% 0.13/0.33  % CPUTime  : 
% 0.13/0.33  Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.15/0.42  ---- Original DTF file ---
% 0.15/0.42  thf(spec,logic,$$dhol).
% 0.15/0.42  %------------------------------------------------------------------------------
% 0.15/0.42  % File     : NLP267^5 : TPTP v9.2.1. Released v8.1.0.
% 0.15/0.42  % Domain   : Natural Language Processing
% 0.15/0.42  % Problem  : Ticket example
% 0.15/0.42  % Version  : [BP13] axioms.
% 0.15/0.42  % English  : 
% 0.15/0.42  
% 0.15/0.42  % Refs     : [FH+98] Farinas del Cerro et al. (1998), Belief Reconstruction
% 0.15/0.42  %          : [RO12]  Raths & Otten (2012), The QMLTP Problem Library for Fi
% 0.15/0.42  %          : [BP13]  Benzmueller & Paulson (2013), Quantified Multimodal Lo
% 0.15/0.42  %          : [Ste22] Steen (2022), An Extensible Logic Embedding Tool for L
% 0.15/0.42  % Source   : [TPTP]
% 0.15/0.42  % Names    : APM001+1 [QMLTP]
% 0.15/0.42  
% 0.15/0.42  % Status   : Theorem 
% 0.15/0.42  % Rating   : 0.11 v9.1.0, 0.12 v9.0.0, 0.10 v8.2.0, 0.23 v8.1.0
% 0.15/0.42  % Syntax   : Number of formulae    :   36 (   9 unt;  19 typ;   8 def)
% 0.15/0.42  %            Number of atoms       :   57 (   8 equ;   0 cnn)
% 0.15/0.42  %            Maximal formula atoms :    7 (   3 avg)
% 0.15/0.42  %            Number of connectives :   74 (   1   ~;   1   |;   3   &;  65   @)
% 0.15/0.42  %                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
% 0.15/0.42  %            Maximal formula depth :    8 (   4 avg)
% 0.15/0.42  %            Number of types       :    3 (   1 usr)
% 0.15/0.42  %            Number of type conns  :   51 (  51   >;   0   *;   0   +;   0  <<)
% 0.15/0.42  %            Number of symbols     :   19 (  18 usr;   6 con; 0-3 aty)
% 0.15/0.42  %            Number of variables   :   25 (  19   ^;   5   !;   1   ?;  25   :)
% 0.15/0.42  % SPC      : TH0_THM_EQU_NAR
% 0.15/0.42  
% 0.15/0.42  % Comments : This output was generated by embedproblem, version 1.7.1 (library
% 0.15/0.42  %            version 1.3). Generated on Thu Apr 28 13:18:18 EDT 2022 using
% 0.15/0.42  %            'modal' embedding, version 1.5.2. Logic specification used:
% 0.15/0.42  %            $modal == [$constants == $rigid,$quantification == $constant,
% 0.15/0.42  %            $modalities == $modal_system_S5].
% 0.15/0.42  %------------------------------------------------------------------------------
% 0.15/0.42  thf(mworld,type,
% 0.15/0.42      mworld: $tType ).
% 0.15/0.42  
% 0.15/0.42  thf(mrel_type,type,
% 0.15/0.42      mrel: mworld > mworld > $o ).
% 0.15/0.42  
% 0.15/0.42  thf(mactual_type,type,
% 0.15/0.42      mactual: mworld ).
% 0.15/0.42  
% 0.15/0.42  thf(mlocal_type,type,
% 0.15/0.42      mlocal: ( mworld > $o ) > $o ).
% 0.15/0.42  
% 0.15/0.42  thf(mlocal_def,definition,
% 0.15/0.42      ( mlocal
% 0.15/0.42      = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
% 0.15/0.42  
% 0.15/0.42  thf(mnot_type,type,
% 0.15/0.42      mnot: ( mworld > $o ) > mworld > $o ).
% 0.15/0.42  
% 0.15/0.42  thf(mand_type,type,
% 0.15/0.42      mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.15/0.42  
% 0.15/0.42  thf(mor_type,type,
% 0.15/0.42      mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.15/0.42  
% 0.15/0.42  thf(mimplies_type,type,
% 0.15/0.42      mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.15/0.42  
% 0.15/0.42  thf(mequiv_type,type,
% 0.15/0.42      mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.15/0.42  
% 0.15/0.42  thf(mnot_def,definition,
% 0.15/0.42      ( mnot
% 0.15/0.42      = ( ^ [A: mworld > $o,W: mworld] :
% 0.15/0.42            ~ ( A @ W ) ) ) ).
% 0.15/0.42  
% 0.15/0.42  thf(mand_def,definition,
% 0.15/0.42      ( mand
% 0.15/0.42      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.15/0.42            ( ( A @ W )
% 0.15/0.42            & ( B @ W ) ) ) ) ).
% 0.15/0.42  
% 0.15/0.42  thf(mor_def,definition,
% 0.15/0.42      ( mor
% 0.15/0.42      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.15/0.42            ( ( A @ W )
% 0.15/0.42            | ( B @ W ) ) ) ) ).
% 0.15/0.42  
% 0.15/0.42  thf(mimplies_def,definition,
% 0.15/0.42      ( mimplies
% 0.15/0.42      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.15/0.42            ( ( A @ W )
% 0.15/0.42           => ( B @ W ) ) ) ) ).
% 0.15/0.42  
% 0.15/0.42  thf(mequiv_def,definition,
% 0.15/0.42      ( mequiv
% 0.15/0.42      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.15/0.42            ( ( A @ W )
% 0.15/0.42          <=> ( B @ W ) ) ) ) ).
% 0.15/0.42  
% 0.15/0.42  thf(mbox_type,type,
% 0.15/0.42      mbox: ( mworld > $o ) > mworld > $o ).
% 0.15/0.42  
% 0.15/0.42  thf(mbox_def,definition,
% 0.15/0.42      ( mbox
% 0.15/0.42      = ( ^ [Phi: mworld > $o,W: mworld] :
% 0.15/0.42          ! [V: mworld] :
% 0.15/0.42            ( ( mrel @ W @ V )
% 0.15/0.42           => ( Phi @ V ) ) ) ) ).
% 0.15/0.42  
% 0.15/0.42  thf(mdia_type,type,
% 0.15/0.42      mdia: ( mworld > $o ) > mworld > $o ).
% 0.15/0.42  
% 0.15/0.42  thf(mdia_def,definition,
% 0.15/0.42      ( mdia
% 0.15/0.42      = ( ^ [Phi: mworld > $o,W: mworld] :
% 0.15/0.42          ? [V: mworld] :
% 0.15/0.42            ( ( mrel @ W @ V )
% 0.15/0.42            & ( Phi @ V ) ) ) ) ).
% 0.15/0.42  
% 0.15/0.42  thf(mrel_reflexive,axiom,
% 0.15/0.42      ! [W: mworld] : ( mrel @ W @ W ) ).
% 0.15/0.42  
% 0.15/0.42  thf(mrel_euclidean,axiom,
% 0.15/0.42      ! [W: mworld,V: mworld,U: mworld] :
% 0.15/0.42        ( ( ( mrel @ W @ U )
% 0.15/0.42          & ( mrel @ W @ V ) )
% 0.15/0.42       => ( mrel @ U @ V ) ) ).
% 0.15/0.42  
% 0.15/0.42  thf(seventy_decl,type,
% 0.15/0.42      seventy: $i ).
% 0.15/0.42  
% 0.15/0.42  thf(ninetyfive_decl,type,
% 0.15/0.42      ninetyfive: $i ).
% 0.15/0.42  
% 0.15/0.42  thf(second_decl,type,
% 0.15/0.42      second: $i ).
% 0.15/0.42  
% 0.15/0.42  thf(paris_decl,type,
% 0.15/0.42      paris: $i ).
% 0.15/0.42  
% 0.15/0.42  thf(first_decl,type,
% 0.15/0.42      first: $i ).
% 0.15/0.42  
% 0.15/0.42  thf(price_decl,type,
% 0.15/0.42      price: $i > mworld > $o ).
% 0.15/0.42  
% 0.15/0.42  thf(dest_decl,type,
% 0.15/0.42      dest: $i > mworld > $o ).
% 0.15/0.42  
% 0.15/0.42  thf(class_decl,type,
% 0.15/0.42      class: $i > mworld > $o ).
% 0.15/0.42  
% 0.15/0.42  thf(law1,axiom,
% 0.15/0.42      mlocal @ ( mbox @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ first ) ) @ ( price @ ninetyfive ) ) ) ).
% 0.15/0.42  
% 0.15/0.42  thf(law2,axiom,
% 0.15/0.42      mlocal @ ( mbox @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ) ).
% 0.15/0.42  
% 0.15/0.42  thf(law3,axiom,
% 0.15/0.42      mlocal @ ( mbox @ ( mnot @ ( mand @ ( class @ first ) @ ( class @ second ) ) ) ) ).
% 0.15/0.42  
% 0.15/0.42  thf(law4,axiom,
% 0.15/0.42      mlocal @ ( mbox @ ( mnot @ ( mand @ ( price @ ninetyfive ) @ ( price @ seventy ) ) ) ) ).
% 0.15/0.42  
% 0.15/0.42  thf(belief1,axiom,
% 0.15/0.42      mlocal @ ( mbox @ ( dest @ paris ) ) ).
% 0.15/0.42  
% 0.15/0.42  thf(belief2,axiom,
% 0.15/0.42      mlocal @ ( mbox @ ( class @ second ) ) ).
% 0.15/0.42  
% 0.15/0.42  thf(con,conjecture,
% 0.15/0.42      mlocal @ ( mbox @ ( price @ seventy ) ) ).
% 0.15/0.42  
% 0.15/0.42  %------------------------------------------------------------------------------
% 0.15/0.42  ------------------------
% 1.37/1.18  ---- Embedded in THF ---
% 1.37/1.18  %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.37/1.18  %%% Generated on Tue Feb 24 10:54:43 EST 2026
% 1.37/1.18  %%% using '$$dhol' embedding, version 1.3.0.
% 1.37/1.18  %%% Logic specification used:
% 1.37/1.18  %%% thf(spec, logic, $$dhol).
% 1.37/1.18  
% 1.37/1.18  % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.zxlUfOebyy/DTF2DTF6576.p
% See solution above
% 1.37/1.18  ------------------------
% 1.37/1.19  ---- Cleaned THF ---
% 1.37/1.19  thf(mworld,type,
% 1.37/1.19      mworld: $tType ).
% 1.37/1.19  
% 1.37/1.19  thf(mrel_type,type,
% 1.37/1.19      mrel: mworld > mworld > $o ).
% 1.37/1.19  
% 1.37/1.19  thf(mactual_type,type,
% 1.37/1.19      mactual: mworld ).
% 1.37/1.19  
% 1.37/1.19  thf(mlocal_type,type,
% 1.37/1.19      mlocal: ( mworld > $o ) > $o ).
% 1.37/1.19  
% 1.37/1.19  thf(mlocal_def,definition,
% 1.37/1.19      ( mlocal
% 1.37/1.19      = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
% 1.37/1.19  
% 1.37/1.19  thf(mnot_type,type,
% 1.37/1.19      mnot: ( mworld > $o ) > mworld > $o ).
% 1.37/1.19  
% 1.37/1.19  thf(mand_type,type,
% 1.37/1.19      mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 1.37/1.19  
% 1.37/1.19  thf(mor_type,type,
% 1.37/1.19      mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 1.37/1.19  
% 1.37/1.19  thf(mimplies_type,type,
% 1.37/1.19      mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 1.37/1.19  
% 1.37/1.19  thf(mequiv_type,type,
% 1.37/1.19      mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 1.37/1.19  
% 1.37/1.19  thf(mnot_def,definition,
% 1.37/1.19      ( mnot
% 1.37/1.19      = ( ^ [A: mworld > $o,W: mworld] :
% 1.37/1.19            ~ ( A @ W ) ) ) ).
% 1.37/1.19  
% 1.37/1.19  thf(mand_def,definition,
% 1.37/1.19      ( mand
% 1.37/1.19      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 1.37/1.19            ( ( A @ W )
% 1.37/1.19            & ( B @ W ) ) ) ) ).
% 1.37/1.19  
% 1.37/1.19  thf(mor_def,definition,
% 1.37/1.19      ( mor
% 1.37/1.19      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 1.37/1.19            ( ( A @ W )
% 1.37/1.19            | ( B @ W ) ) ) ) ).
% 1.37/1.19  
% 1.37/1.19  thf(mimplies_def,definition,
% 1.37/1.19      ( mimplies
% 1.37/1.19      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 1.37/1.19            ( ( A @ W )
% 1.37/1.19           => ( B @ W ) ) ) ) ).
% 1.37/1.19  
% 1.37/1.19  thf(mequiv_def,definition,
% 1.37/1.19      ( mequiv
% 1.37/1.19      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 1.37/1.19            ( ( A @ W )
% 1.37/1.19          <=> ( B @ W ) ) ) ) ).
% 1.37/1.19  
% 1.37/1.19  thf(mbox_type,type,
% 1.37/1.19      mbox: ( mworld > $o ) > mworld > $o ).
% 1.37/1.19  
% 1.37/1.19  thf(mbox_def,definition,
% 1.37/1.19      ( mbox
% 1.37/1.19      = ( ^ [Phi: mworld > $o,W: mworld] :
% 1.37/1.19          ! [V: mworld] :
% 1.37/1.19            ( ( mrel @ W @ V )
% 1.37/1.19           => ( Phi @ V ) ) ) ) ).
% 1.37/1.19  
% 1.37/1.19  thf(mdia_type,type,
% 1.37/1.19      mdia: ( mworld > $o ) > mworld > $o ).
% 1.37/1.19  
% 1.37/1.19  thf(mdia_def,definition,
% 1.37/1.19      ( mdia
% 1.37/1.19      = ( ^ [Phi: mworld > $o,W: mworld] :
% 1.37/1.19          ? [V: mworld] :
% 1.37/1.19            ( ( mrel @ W @ V )
% 1.37/1.19            & ( Phi @ V ) ) ) ) ).
% 1.37/1.19  
% 1.37/1.19  thf(mrel_reflexive,axiom,
% 1.37/1.19      ! [W: mworld] : ( mrel @ W @ W ) ).
% 1.37/1.19  
% 1.37/1.19  thf(mrel_euclidean,axiom,
% 1.37/1.19      ! [W: mworld,V: mworld,U: mworld] :
% 1.37/1.19        ( ( ( mrel @ W @ U )
% 1.37/1.19          & ( mrel @ W @ V ) )
% 1.37/1.19       => ( mrel @ U @ V ) ) ).
% 1.37/1.19  
% 1.37/1.19  thf(seventy_decl,type,
% 1.37/1.19      seventy: $i ).
% 1.37/1.19  
% 1.37/1.19  thf(ninetyfive_decl,type,
% 1.37/1.19      ninetyfive: $i ).
% 1.37/1.19  
% 1.37/1.19  thf(second_decl,type,
% 1.37/1.19      second: $i ).
% 1.37/1.19  
% 1.37/1.19  thf(paris_decl,type,
% 1.37/1.19      paris: $i ).
% 1.37/1.19  
% 1.37/1.19  thf(first_decl,type,
% 1.37/1.19      first: $i ).
% 1.37/1.19  
% 1.37/1.19  thf(price_decl,type,
% 1.37/1.19      price: $i > mworld > $o ).
% 1.37/1.19  
% 1.37/1.19  thf(dest_decl,type,
% 1.37/1.19      dest: $i > mworld > $o ).
% 1.37/1.19  
% 1.37/1.19  thf(class_decl,type,
% 1.37/1.19      class: $i > mworld > $o ).
% 1.37/1.19  
% 1.37/1.19  thf(law1,axiom,
% 1.37/1.19      mlocal @ ( mbox @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ first ) ) @ ( price @ ninetyfive ) ) ) ).
% 1.37/1.19  
% 1.37/1.19  thf(law2,axiom,
% 1.37/1.19      mlocal @ ( mbox @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ) ).
% 1.37/1.19  
% 1.37/1.19  thf(law3,axiom,
% 1.37/1.19      mlocal @ ( mbox @ ( mnot @ ( mand @ ( class @ first ) @ ( class @ second ) ) ) ) ).
% 1.37/1.19  
% 1.37/1.19  thf(law4,axiom,
% 1.37/1.19      mlocal @ ( mbox @ ( mnot @ ( mand @ ( price @ ninetyfive ) @ ( price @ seventy ) ) ) ) ).
% 1.37/1.19  
% 1.37/1.19  thf(belief1,axiom,
% 1.37/1.19      mlocal @ ( mbox @ ( dest @ paris ) ) ).
% 1.37/1.19  
% 1.37/1.19  thf(belief2,axiom,
% 1.37/1.19      mlocal @ ( mbox @ ( class @ second ) ) ).
% 1.37/1.19  
% 1.37/1.19  thf(con,conjecture,
% 1.37/1.19      mlocal @ ( mbox @ ( price @ seventy ) ) ).
% 1.37/1.19  ------------------------
% 1.53/1.20  % (6675)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_6576 for (2999ds/4Mi)
% 1.53/1.20  % (6675)Instruction limit reached!
% 1.53/1.20  % (6675)------------------------------
% 1.53/1.20  % (6675)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.20  % (6675)Termination reason: Unknown
% 1.53/1.20  % (6675)Termination phase: Saturation
% 1.53/1.20  
% 1.53/1.20  % (6675)Memory used [KB]: 5500
% 1.53/1.20  % (6675)Time elapsed: 0.003 s
% 1.53/1.20  % (6675)Instructions burned: 5 (million)
% 1.53/1.20  % (6675)------------------------------
% 1.53/1.20  % (6675)------------------------------
% 1.53/1.21  % (6680)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_6576 for (2999ds/18Mi)
% 1.53/1.21  % (6679)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_6576 for (2999ds/275Mi)
% 1.53/1.21  % (6678)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_6576 for (2999ds/2Mi)
% 1.53/1.21  % (6676)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_6576 for (2999ds/27Mi)
% 1.53/1.21  % (6674)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_6576 for (2999ds/183Mi)
% 1.53/1.21  % (6677)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_6576 for (2999ds/2Mi)
% 1.53/1.21  % (6677)Instruction limit reached!
% 1.53/1.21  % (6677)------------------------------
% 1.53/1.21  % (6677)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.21  % (6677)Termination reason: Unknown
% 1.53/1.21  % (6678)Instruction limit reached!
% 1.53/1.21  % (6678)------------------------------
% 1.53/1.21  % (6678)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.21  % (6678)Termination reason: Unknown
% 1.53/1.21  % (6678)Termination phase: Saturation
% 1.53/1.21  
% 1.53/1.21  % (6678)Memory used [KB]: 1023
% 1.53/1.21  % (6678)Time elapsed: 0.003 s
% 1.53/1.21  % (6678)Instructions burned: 4 (million)
% 1.53/1.21  % (6678)------------------------------
% 1.53/1.21  % (6678)------------------------------
% 1.53/1.21  % (6677)Termination phase: Preprocessing 2
% 1.53/1.21  
% 1.53/1.21  % (6677)Memory used [KB]: 1023
% 1.53/1.21  % (6677)Time elapsed: 0.003 s
% 1.53/1.21  % (6677)Instructions burned: 3 (million)
% 1.53/1.21  % (6677)------------------------------
% 1.53/1.21  % (6677)------------------------------
% 1.53/1.21  % (6679)Refutation not found, incomplete strategy
% 1.53/1.21  % (6679)------------------------------
% 1.53/1.21  % (6679)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.21  % (6679)Termination reason: Refutation not found, incomplete strategy
% 1.53/1.21  
% 1.53/1.21  
% 1.53/1.21  % (6679)Memory used [KB]: 5500
% 1.53/1.21  % (6679)Time elapsed: 0.003 s
% 1.53/1.21  % (6679)Instructions burned: 3 (million)
% 1.53/1.21  % (6679)------------------------------
% 1.53/1.21  % (6679)------------------------------
% 1.53/1.21  % (6681)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_6576 for (2999ds/3Mi)
% 1.53/1.21  % (6681)Instruction limit reached!
% 1.53/1.21  % (6681)------------------------------
% 1.53/1.21  % (6681)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.21  % (6681)Termination reason: Unknown
% 1.53/1.21  % (6681)Termination phase: Property scanning
% 1.53/1.21  
% 1.53/1.21  % (6681)Memory used [KB]: 1023
% 1.53/1.21  % (6681)Time elapsed: 0.002 s
% 1.53/1.21  % (6681)Instructions burned: 4 (million)
% 1.53/1.21  % (6681)------------------------------
% 1.53/1.21  % (6681)------------------------------
% 1.53/1.22  % (6680)Instruction limit reached!
% 1.53/1.22  % (6680)------------------------------
% 1.53/1.22  % (6680)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.22  % (6680)Termination reason: Unknown
% 1.53/1.22  % (6680)Termination phase: Saturation
% 1.53/1.22  
% 1.53/1.22  % (6680)Memory used [KB]: 5628
% 1.53/1.22  % (6680)Time elapsed: 0.011 s
% 1.53/1.22  % (6680)Instructions burned: 19 (million)
% 1.53/1.22  % (6680)------------------------------
% 1.53/1.22  % (6680)------------------------------
% 1.53/1.22  % (6674)First to succeed.
% 1.53/1.22  % (6676)Also succeeded, but the first one will report.
% 1.53/1.22  % (6674)Refutation found. Thanks to Tanya!
% 1.53/1.22  % SZS status Theorem for DTF2THF_6576
% 1.53/1.22  % SZS output start Proof for DTF2THF_6576
% 1.53/1.22  thf(type_def_5, type, mworld: $tType).
% 1.53/1.22  thf(func_def_0, type, mworld: $tType).
% 1.53/1.22  thf(func_def_1, type, mrel: mworld > mworld > $o).
% 1.53/1.22  thf(func_def_2, type, mactual: mworld).
% 1.53/1.22  thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 1.53/1.22  thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 1.53/1.22  thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 1.53/1.22  thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 1.53/1.22  thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 1.53/1.22  thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 1.53/1.22  thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 1.53/1.22  thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 1.53/1.22  thf(func_def_17, type, price: $i > mworld > $o).
% 1.53/1.22  thf(func_def_18, type, dest: $i > mworld > $o).
% 1.53/1.22  thf(func_def_19, type, class: $i > mworld > $o).
% 1.53/1.22  thf(func_def_34, type, sK1: mworld).
% 1.53/1.22  thf(f275,plain,(
% 1.53/1.22    $false),
% 1.53/1.22    inference(avatar_sat_refutation,[status(thm)],[f178,f221,f259,f272])).
% 1.53/1.22  thf(f272,plain,(
% 1.53/1.22    ~spl0_8),
% 1.53/1.22    inference(avatar_contradiction_clause,[status(thm)],[f271])).
% 1.53/1.22  thf(f271,plain,(
% 1.53/1.22    $false | ~spl0_8),
% 1.53/1.22    inference(trivial_inequality_removal,[status(thm)],[f266])).
% 1.53/1.22  thf(f266,plain,(
% 1.53/1.22    ($false = $true) | ~spl0_8),
% 1.53/1.22    inference(superposition,[status(thm)],[f97,f218])).
% 1.53/1.22  thf(f218,plain,(
% 1.53/1.22    ((price @ seventy @ sK1) = $true) | ~spl0_8),
% 1.53/1.22    inference(avatar_component_clause,[status(thm)],[f216])).
% 1.53/1.22  thf(f216,definition,(
% 1.53/1.22    spl0_8 <=> ((price @ seventy @ sK1) = $true)),
% 1.53/1.22    introduced(definition,[new_symbols(naming,[spl0_8])],[avatar_definition])).
% 1.53/1.22  thf(f97,plain,(
% 1.53/1.22    ((price @ seventy @ sK1) = $false)),
% 1.53/1.22    inference(binary_proxy_clausification,[status(thm)],[f96])).
% 1.53/1.22  thf(f96,plain,(
% 1.53/1.22    ($false = ((mrel @ mactual @ sK1) => (price @ seventy @ sK1)))),
% 1.53/1.22    inference(beta_eta_normalization,[status(thm)],[f95])).
% 1.53/1.22  thf(f95,plain,(
% 1.53/1.22    ($false = ((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (price @ seventy @ Y0))) @ sK1))),
% 1.53/1.22    inference(sigma_clausification,[status(thm)],[f94])).
% 1.53/1.22  thf(f94,plain,(
% 1.53/1.22    ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (price @ seventy @ Y0)))) != $true)),
% 1.53/1.22    inference(beta_eta_normalization,[status(thm)],[f76])).
% 1.53/1.22  thf(f76,plain,(
% 1.53/1.22    ($true != ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ (price @ seventy))))),
% 1.53/1.22    inference(definition_unfolding,[status(thm)],[f64,f65,f56])).
% 1.53/1.22  thf(f56,plain,(
% 1.53/1.22    (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 1.53/1.22    inference(cnf_transformation,[status(thm)],[f28])).
% 1.53/1.22  thf(f28,plain,(
% 1.53/1.22    (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 1.53/1.22    inference(fool_elimination,[status(thm)],[f27])).
% 1.53/1.22  thf(f27,plain,(
% 1.53/1.22    ((^[X0 : mworld > $o, X1 : mworld] : (! [X2 : mworld] : ((mrel @ X1 @ X2) => (X0 @ X2)))) = mbox)),
% 1.53/1.22    inference(rectify,[status(thm)],[f7])).
% 1.53/1.22  thf(f7,axiom,(
% 1.53/1.22    ((^[X0 : mworld > $o, X2 : mworld] : (! [X4 : mworld] : ((mrel @ X2 @ X4) => (X0 @ X4)))) = mbox)),
% 1.53/1.22    file('/export/starexec/sandbox2/tmp/tmp.zxlUfOebyy/DTF2THF_6576.p',mbox_def)).
% 1.53/1.22  thf(f65,plain,(
% 1.53/1.22    (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 1.53/1.22    inference(cnf_transformation,[status(thm)],[f24])).
% 1.53/1.22  thf(f24,plain,(
% 1.53/1.22    (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 1.53/1.22    inference(fool_elimination,[status(thm)],[f1])).
% 1.53/1.22  thf(f1,axiom,(
% 1.53/1.22    ((^[X0 : mworld > $o] : (X0 @ mactual)) = mlocal)),
% 1.53/1.22    file('/export/starexec/sandbox2/tmp/tmp.zxlUfOebyy/DTF2THF_6576.p',mlocal_def)).
% 1.53/1.22  thf(f64,plain,(
% 1.53/1.22    ((mlocal @ (mbox @ (price @ seventy))) != $true)),
% 1.53/1.22    inference(cnf_transformation,[status(thm)],[f53])).
% 1.53/1.22  thf(f53,plain,(
% 1.53/1.22    ((mlocal @ (mbox @ (price @ seventy))) != $true)),
% 1.53/1.22    inference(flattening,[status(thm)],[f50])).
% 1.53/1.22  thf(f50,plain,(
% 1.53/1.22    ~((mlocal @ (mbox @ (price @ seventy))) = $true)),
% 1.53/1.22    inference(fool_elimination,[status(thm)],[f49])).
% 1.53/1.22  thf(f49,plain,(
% 1.53/1.22    ~(mlocal @ (mbox @ (price @ seventy)))),
% 1.53/1.22    inference(rectify,[status(thm)],[f18])).
% 1.53/1.22  thf(f18,negated_conjecture,(
% 1.53/1.22    ~(mlocal @ (mbox @ (price @ seventy)))),
% 1.53/1.22    inference(negated_conjecture,[status(cth)],[f17])).
% 1.53/1.22  thf(f17,conjecture,(
% 1.53/1.22    (mlocal @ (mbox @ (price @ seventy)))),
% 1.53/1.22    file('/export/starexec/sandbox2/tmp/tmp.zxlUfOebyy/DTF2THF_6576.p',con)).
% 1.53/1.22  thf(f259,plain,(
% 1.53/1.22    ~spl0_7),
% 1.53/1.22    inference(avatar_contradiction_clause,[status(thm)],[f258])).
% 1.53/1.22  thf(f258,plain,(
% 1.53/1.22    $false | ~spl0_7),
% 1.53/1.22    inference(trivial_inequality_removal,[status(thm)],[f254])).
% 1.53/1.22  thf(f254,plain,(
% 1.53/1.22    ($false = $true) | ~spl0_7),
% 1.53/1.22    inference(superposition,[status(thm)],[f124,f214])).
% 1.53/1.22  thf(f214,plain,(
% 1.53/1.22    ($false = (dest @ paris @ sK1)) | ~spl0_7),
% 1.53/1.22    inference(avatar_component_clause,[status(thm)],[f212])).
% 1.53/1.22  thf(f212,definition,(
% 1.53/1.22    spl0_7 <=> ($false = (dest @ paris @ sK1))),
% 1.53/1.22    introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition])).
% 1.53/1.22  thf(f124,plain,(
% 1.53/1.22    ($true = (dest @ paris @ sK1))),
% 1.53/1.22    inference(trivial_inequality_removal,[status(thm)],[f117])).
% 1.53/1.22  thf(f117,plain,(
% 1.53/1.22    ($false = $true) | ($true = (dest @ paris @ sK1))),
% 1.53/1.22    inference(superposition,[status(thm)],[f83,f98])).
% 1.53/1.22  thf(f98,plain,(
% 1.53/1.22    ($true = (mrel @ mactual @ sK1))),
% 1.53/1.22    inference(binary_proxy_clausification,[status(thm)],[f96])).
% 1.53/1.22  thf(f83,plain,(
% 1.53/1.22    ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ((dest @ paris @ X1) = $true)) )),
% 1.53/1.22    inference(binary_proxy_clausification,[status(thm)],[f82])).
% 1.53/1.22  thf(f82,plain,(
% 1.53/1.22    ( ! [X1 : mworld] : ((((mrel @ mactual @ X1) => (dest @ paris @ X1)) = $true)) )),
% 1.53/1.22    inference(beta_eta_normalization,[status(thm)],[f81])).
% 1.53/1.22  thf(f81,plain,(
% 1.53/1.22    ( ! [X1 : mworld] : ((((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (dest @ paris @ Y0))) @ X1) = $true)) )),
% 1.53/1.22    inference(pi_clausification,[status(thm)],[f80])).
% 1.53/1.22  thf(f80,plain,(
% 1.53/1.22    ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (dest @ paris @ Y0)))) = $true)),
% 1.53/1.22    inference(beta_eta_normalization,[status(thm)],[f79])).
% 1.53/1.22  thf(f79,plain,(
% 1.53/1.22    (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ (dest @ paris))) = $true)),
% 1.53/1.22    inference(definition_unfolding,[status(thm)],[f72,f65,f56])).
% 1.53/1.22  thf(f72,plain,(
% 1.53/1.22    ((mlocal @ (mbox @ (dest @ paris))) = $true)),
% 1.53/1.22    inference(cnf_transformation,[status(thm)],[f44])).
% 1.53/1.22  thf(f44,plain,(
% 1.53/1.22    ((mlocal @ (mbox @ (dest @ paris))) = $true)),
% 1.53/1.22    inference(fool_elimination,[status(thm)],[f43])).
% 1.53/1.22  thf(f43,plain,(
% 1.53/1.22    (mlocal @ (mbox @ (dest @ paris)))),
% 1.53/1.22    inference(rectify,[status(thm)],[f15])).
% 1.53/1.22  thf(f15,axiom,(
% 1.53/1.22    (mlocal @ (mbox @ (dest @ paris)))),
% 1.53/1.22    file('/export/starexec/sandbox2/tmp/tmp.zxlUfOebyy/DTF2THF_6576.p',belief1)).
% 1.53/1.22  thf(f221,plain,(
% 1.53/1.22    spl0_8 | spl0_7 | spl0_3),
% 1.53/1.22    inference(avatar_split_clause,[status(thm)],[f220,f160,f212,f216])).
% 1.53/1.22  thf(f160,definition,(
% 1.53/1.22    spl0_3 <=> ($false = (mrel @ mactual @ sK1))),
% 1.53/1.22    introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])).
% 1.53/1.22  thf(f220,plain,(
% 1.53/1.22    ((price @ seventy @ sK1) = $true) | ($false = (dest @ paris @ sK1)) | spl0_3),
% 1.53/1.22    inference(subsumption_resolution,[status(thm)],[f198,f161])).
% 1.53/1.22  thf(f161,plain,(
% 1.53/1.22    ($false != (mrel @ mactual @ sK1)) | spl0_3),
% 1.53/1.22    inference(avatar_component_clause,[status(thm)],[f160])).
% 1.53/1.22  thf(f198,plain,(
% 1.53/1.22    ($false = (mrel @ mactual @ sK1)) | ((price @ seventy @ sK1) = $true) | ($false = (dest @ paris @ sK1))),
% 1.53/1.22    inference(trivial_inequality_removal,[status(thm)],[f193])).
% 1.53/1.22  thf(f193,plain,(
% 1.53/1.22    ($false = (mrel @ mactual @ sK1)) | ((price @ seventy @ sK1) = $true) | ($false = (dest @ paris @ sK1)) | ($false = $true)),
% 1.53/1.22    inference(superposition,[status(thm)],[f132,f110])).
% 1.53/1.22  thf(f110,plain,(
% 1.53/1.22    ( ! [X1 : mworld] : (($false = (class @ second @ X1)) | ((price @ seventy @ X1) = $true) | ((mrel @ mactual @ X1) = $false) | ($false = (dest @ paris @ X1))) )),
% 1.53/1.22    inference(binary_proxy_clausification,[status(thm)],[f109])).
% 1.53/1.22  thf(f109,plain,(
% 1.53/1.22    ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | (((class @ second @ X1) & (dest @ paris @ X1)) = $false) | ((price @ seventy @ X1) = $true)) )),
% 1.53/1.22    inference(binary_proxy_clausification,[status(thm)],[f108])).
% 1.53/1.22  thf(f108,plain,(
% 1.53/1.22    ( ! [X1 : mworld] : (((((class @ second @ X1) & (dest @ paris @ X1)) => (price @ seventy @ X1)) = $true) | ((mrel @ mactual @ X1) = $false)) )),
% 1.53/1.22    inference(binary_proxy_clausification,[status(thm)],[f107])).
% 1.53/1.22  thf(f107,plain,(
% 1.53/1.22    ( ! [X1 : mworld] : ((((mrel @ mactual @ X1) => (((class @ second @ X1) & (dest @ paris @ X1)) => (price @ seventy @ X1))) = $true)) )),
% 1.53/1.22    inference(beta_eta_normalization,[status(thm)],[f106])).
% 1.53/1.22  thf(f106,plain,(
% 1.53/1.22    ( ! [X1 : mworld] : ((((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (((class @ second @ Y0) & (dest @ paris @ Y0)) => (price @ seventy @ Y0)))) @ X1) = $true)) )),
% 1.53/1.22    inference(pi_clausification,[status(thm)],[f105])).
% 1.53/1.22  thf(f105,plain,(
% 1.53/1.22    ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (((class @ second @ Y0) & (dest @ paris @ Y0)) => (price @ seventy @ Y0))))) = $true)),
% 1.53/1.22    inference(beta_eta_normalization,[status(thm)],[f75])).
% 1.53/1.22  thf(f75,plain,(
% 1.53/1.22    (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))) @ (dest @ paris) @ (class @ second)) @ (price @ seventy)))) = $true)),
% 1.53/1.22    inference(definition_unfolding,[status(thm)],[f61,f65,f56,f68,f71])).
% 1.53/1.22  thf(f71,plain,(
% 1.53/1.22    (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
% 1.53/1.22    inference(cnf_transformation,[status(thm)],[f46])).
% 1.53/1.22  thf(f46,plain,(
% 1.53/1.22    (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
% 1.53/1.22    inference(fool_elimination,[status(thm)],[f45])).
% 1.53/1.22  thf(f45,plain,(
% 1.53/1.22    (mand = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) & (X1 @ X2))))),
% 1.53/1.22    inference(rectify,[status(thm)],[f3])).
% 1.53/1.22  thf(f3,axiom,(
% 1.53/1.22    (mand = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X3 @ X2))))),
% 1.53/1.22    file('/export/starexec/sandbox2/tmp/tmp.zxlUfOebyy/DTF2THF_6576.p',mand_def)).
% 1.53/1.22  thf(f68,plain,(
% 1.53/1.22    (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 1.53/1.22    inference(cnf_transformation,[status(thm)],[f23])).
% 1.53/1.22  thf(f23,plain,(
% 1.53/1.22    (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 1.53/1.22    inference(fool_elimination,[status(thm)],[f22])).
% 1.53/1.22  thf(f22,plain,(
% 1.53/1.22    (mimplies = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) => (X1 @ X2))))),
% 1.53/1.22    inference(rectify,[status(thm)],[f5])).
% 1.53/1.22  thf(f5,axiom,(
% 1.53/1.22    (mimplies = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) => (X3 @ X2))))),
% 1.53/1.22    file('/export/starexec/sandbox2/tmp/tmp.zxlUfOebyy/DTF2THF_6576.p',mimplies_def)).
% 1.53/1.22  thf(f61,plain,(
% 1.53/1.22    ((mlocal @ (mbox @ (mimplies @ (mand @ (dest @ paris) @ (class @ second)) @ (price @ seventy)))) = $true)),
% 1.53/1.22    inference(cnf_transformation,[status(thm)],[f30])).
% 1.53/1.22  thf(f30,plain,(
% 1.53/1.22    ((mlocal @ (mbox @ (mimplies @ (mand @ (dest @ paris) @ (class @ second)) @ (price @ seventy)))) = $true)),
% 1.53/1.22    inference(fool_elimination,[status(thm)],[f29])).
% 1.53/1.22  thf(f29,plain,(
% 1.53/1.22    (mlocal @ (mbox @ (mimplies @ (mand @ (dest @ paris) @ (class @ second)) @ (price @ seventy))))),
% 1.53/1.22    inference(rectify,[status(thm)],[f12])).
% 1.53/1.22  thf(f12,axiom,(
% 1.53/1.22    (mlocal @ (mbox @ (mimplies @ (mand @ (dest @ paris) @ (class @ second)) @ (price @ seventy))))),
% 1.53/1.22    file('/export/starexec/sandbox2/tmp/tmp.zxlUfOebyy/DTF2THF_6576.p',law2)).
% 1.53/1.22  thf(f132,plain,(
% 1.53/1.22    ((class @ second @ sK1) = $true)),
% 1.53/1.22    inference(trivial_inequality_removal,[status(thm)],[f125])).
% 1.53/1.22  thf(f125,plain,(
% 1.53/1.22    ($false = $true) | ((class @ second @ sK1) = $true)),
% 1.53/1.22    inference(superposition,[status(thm)],[f87,f98])).
% 1.53/1.22  thf(f87,plain,(
% 1.53/1.22    ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ((class @ second @ X1) = $true)) )),
% 1.53/1.22    inference(binary_proxy_clausification,[status(thm)],[f86])).
% 1.53/1.22  thf(f86,plain,(
% 1.53/1.22    ( ! [X1 : mworld] : (($true = ((mrel @ mactual @ X1) => (class @ second @ X1)))) )),
% 1.53/1.22    inference(beta_eta_normalization,[status(thm)],[f85])).
% 1.53/1.22  thf(f85,plain,(
% 1.53/1.22    ( ! [X1 : mworld] : ((((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (class @ second @ Y0))) @ X1) = $true)) )),
% 1.53/1.22    inference(pi_clausification,[status(thm)],[f84])).
% 1.53/1.22  thf(f84,plain,(
% 1.53/1.22    ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (class @ second @ Y0)))) = $true)),
% 1.53/1.22    inference(beta_eta_normalization,[status(thm)],[f77])).
% 1.53/1.22  thf(f77,plain,(
% 1.53/1.22    (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ (class @ second))) = $true)),
% 1.53/1.22    inference(definition_unfolding,[status(thm)],[f67,f65,f56])).
% 1.53/1.22  thf(f67,plain,(
% 1.53/1.22    ((mlocal @ (mbox @ (class @ second))) = $true)),
% 1.53/1.22    inference(cnf_transformation,[status(thm)],[f21])).
% 1.53/1.22  thf(f21,plain,(
% 1.53/1.22    ((mlocal @ (mbox @ (class @ second))) = $true)),
% 1.53/1.22    inference(fool_elimination,[status(thm)],[f20])).
% 1.53/1.22  thf(f20,plain,(
% 1.53/1.22    (mlocal @ (mbox @ (class @ second)))),
% 1.53/1.22    inference(rectify,[status(thm)],[f16])).
% 1.53/1.22  thf(f16,axiom,(
% 1.53/1.22    (mlocal @ (mbox @ (class @ second)))),
% 1.53/1.22    file('/export/starexec/sandbox2/tmp/tmp.zxlUfOebyy/DTF2THF_6576.p',belief2)).
% 1.53/1.22  thf(f178,plain,(
% 1.53/1.22    ~spl0_3),
% 1.53/1.22    inference(avatar_contradiction_clause,[status(thm)],[f177])).
% 1.53/1.22  thf(f177,plain,(
% 1.53/1.22    $false | ~spl0_3),
% 1.53/1.22    inference(trivial_inequality_removal,[status(thm)],[f169])).
% 1.53/1.22  thf(f169,plain,(
% 1.53/1.22    ($false = $true) | ~spl0_3),
% 1.53/1.22    inference(superposition,[status(thm)],[f162,f98])).
% 1.53/1.22  thf(f162,plain,(
% 1.53/1.22    ($false = (mrel @ mactual @ sK1)) | ~spl0_3),
% 1.53/1.22    inference(avatar_component_clause,[status(thm)],[f160])).
% 1.53/1.22  % SZS output end Proof for DTF2THF_6576
% 1.53/1.22  % (6674)------------------------------
% 1.53/1.22  % (6674)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.22  % (6674)Termination reason: Refutation
% 1.53/1.22  
% 1.53/1.22  % (6674)Memory used [KB]: 5628
% 1.53/1.22  % (6674)Time elapsed: 0.014 s
% 1.53/1.22  % (6674)Instructions burned: 20 (million)
% 1.53/1.22  % (6674)------------------------------
% 1.53/1.22  % (6674)------------------------------
% 1.53/1.22  % (6673)Success in time 0.026 s
%------------------------------------------------------------------------------