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DT2H2X---1.9.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : CSR149^1 : TPTP v9.2.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n031.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 08:43:13 AM UTC 2026

% Result   : Theorem 1.71s 1.41s
% Output   : Refutation 1.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   46 (  13 unt;   0 typ;   4 def)
%            Number of atoms       :  236 (  46 equ;   0 cnn)
%            Maximal formula atoms :    6 (   5 avg)
%            Number of connectives :  233 (  41   ~;  31   |;   0   &; 143   @)
%                                         (   4 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  12 usr;  11 con; 0-2 aty)
%                                         (   5  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   59 (   6   ^;  45   !;   8   ?;  59   :)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_0,type,
    num: $tType ).

thf(func_def_1,type,
    holdsDuring_THFTYPE_IiooI: $i > $o > $o ).

thf(func_def_5,type,
    lYearFn_THFTYPE_IiiI: $i > $i ).

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

thf(func_def_16,type,
    ph1: 
      !>[X0: $tType] : X0 ).

thf(f79,plain,
    $false,
    inference(avatar_sat_refutation,[status(thm)],[f28,f48,f63,f69,f78]) ).

thf(f78,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[status(thm)],[f77]) ).

thf(f77,plain,
    ( $false
    | ~ spl0_1 ),
    inference(equality_resolution,[status(thm)],[f24]) ).

thf(f24,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( lYearFn_THFTYPE_IiiI @ X0 )
       != X1 )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[status(thm)],[f23]) ).

thf(f23,definition,
    ( spl0_1
  <=> ! [X0: $i,X1: $i] :
        ( ( lYearFn_THFTYPE_IiiI @ X0 )
       != X1 ) ),
    introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition]) ).

thf(f69,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[status(thm)],[f68]) ).

thf(f68,plain,
    ( $false
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[status(thm)],[f64]) ).

thf(f64,plain,
    ( ( $true = $false )
    | ~ spl0_3 ),
    inference(superposition,[status(thm)],[f44,f19]) ).

thf(f19,plain,
    ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(cnf_transformation,[status(thm)],[f10]) ).

thf(f10,plain,
    ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(fool_elimination,[status(thm)],[f9]) ).

thf(f9,plain,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
    inference(rectify,[status(thm)],[f1]) ).

thf(f1,axiom,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
    file('/export/starexec/sandbox/tmp/tmp.xdsim8Bepg/DTF2THF_5774.p',ax) ).

thf(f44,plain,
    ( ! [X2: $i] :
        ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X2 )
        = $false )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[status(thm)],[f43]) ).

thf(f43,definition,
    ( spl0_3
  <=> ! [X2: $i] :
        ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X2 )
        = $false ) ),
    introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition]) ).

thf(f63,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[status(thm)],[f62]) ).

thf(f62,plain,
    ( $false
    | ~ spl0_4 ),
    inference(equality_resolution,[status(thm)],[f47]) ).

thf(f47,plain,
    ( ! [X0: $i] : ( n2009_THFTYPE_i != X0 )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[status(thm)],[f46]) ).

thf(f46,definition,
    ( spl0_4
  <=> ! [X0: $i] : ( n2009_THFTYPE_i != X0 ) ),
    introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition]) ).

thf(f48,plain,
    ( spl0_3
    | spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[status(thm)],[f41,f26,f46,f43]) ).

thf(f26,definition,
    ( spl0_2
  <=> ! [X2: $i] :
        ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X2 )
       != $true ) ),
    introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition]) ).

thf(f41,plain,
    ( ! [X2: $i,X0: $i] :
        ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X2 )
          = $false )
        | ( n2009_THFTYPE_i != X0 ) )
    | ~ spl0_2 ),
    inference(subsumption_resolution,[status(thm)],[f40,f27]) ).

thf(f27,plain,
    ( ! [X2: $i] :
        ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X2 )
       != $true )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[status(thm)],[f26]) ).

thf(f40,plain,
    ( ! [X2: $i,X0: $i] :
        ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X2 )
          = $false )
        | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X2 )
          = $true )
        | ( n2009_THFTYPE_i != X0 ) )
    | ~ spl0_2 ),
    inference(subsumption_resolution,[status(thm)],[f39,f27]) ).

thf(f39,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 )
        = $true )
      | ( n2009_THFTYPE_i != X0 )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X2 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X2 )
        = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f38]) ).

thf(f38,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X2 )
         => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X2 ) )
        = $true )
      | ( n2009_THFTYPE_i != X0 )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 )
        = $true ) ),
    inference(beta_eta_normalization,[status(thm)],[f37]) ).

thf(f37,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( n2009_THFTYPE_i != X0 )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 )
        = $true )
      | ( ( ^ [Y0: $i] :
              ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ Y0 )
             => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Y0 ) )
          @ X2 )
        = $true ) ),
    inference(pi_clausification,[status(thm)],[f31]) ).

thf(f31,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
        = ( !! @ $i
          @ ^ [Y0: $i] :
              ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ Y0 )
             => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Y0 ) ) ) )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 )
        = $true )
      | ( n2009_THFTYPE_i != X0 ) ),
    inference(binary_proxy_clausification,[status(thm)],[f30]) ).

thf(f30,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 )
       != ( !! @ $i
          @ ^ [Y0: $i] :
              ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ Y0 )
             => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Y0 ) ) ) )
      | ( n2009_THFTYPE_i != X0 ) ),
    inference(trivial_inequality_removal,[status(thm)],[f29]) ).

thf(f29,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true != $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 )
       != ( !! @ $i
          @ ^ [Y0: $i] :
              ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ Y0 )
             => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Y0 ) ) ) )
      | ( n2009_THFTYPE_i != X0 ) ),
    inference(constrained_superposition,[status(thm)],[f17,f16]) ).

thf(f16,plain,
    ( ( 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 ) ) ) )
    = $true ),
    inference(cnf_transformation,[status(thm)],[f8]) ).

thf(f8,plain,
    ( ( 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 ) ) ) )
    = $true ),
    inference(fool_elimination,[status(thm)],[f7]) ).

thf(f7,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,[status(thm)],[f3]) ).

thf(f3,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ! [X1: $i] :
        ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 )
       => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.xdsim8Bepg/DTF2THF_5774.p',ax_002) ).

thf(f17,plain,
    ! [X0: $i,X1: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 ) )
     != $true ),
    inference(cnf_transformation,[status(thm)],[f15]) ).

thf(f15,plain,
    ! [X0: $i,X1: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 ) )
     != $true ),
    inference(ennf_transformation,[status(thm)],[f12]) ).

thf(f12,plain,
    ~ ? [X0: $i,X1: $i] :
        ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 ) )
        = $true ),
    inference(fool_elimination,[status(thm)],[f11]) ).

thf(f11,plain,
    ~ ? [X0: $i,X1: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 ) ),
    inference(rectify,[status(thm)],[f5]) ).

thf(f5,negated_conjecture,
    ~ ? [X1: $i,X0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X0 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) ),
    inference(negated_conjecture,[status(cth)],[f4]) ).

thf(f4,conjecture,
    ? [X1: $i,X0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X0 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) ),
    file('/export/starexec/sandbox/tmp/tmp.xdsim8Bepg/DTF2THF_5774.p',con) ).

thf(f28,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[status(thm)],[f21,f26,f23]) ).

thf(f21,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( lYearFn_THFTYPE_IiiI @ X0 )
       != X1 )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X2 )
       != $true ) ),
    inference(trivial_inequality_removal,[status(thm)],[f20]) ).

thf(f20,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( lYearFn_THFTYPE_IiiI @ X0 )
       != X1 )
      | ( $true != $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X2 )
       != $true ) ),
    inference(constrained_superposition,[status(thm)],[f17,f18]) ).

thf(f18,plain,
    ! [X0: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ X0 @ $true )
      = $true ),
    inference(cnf_transformation,[status(thm)],[f14]) ).

thf(f14,plain,
    ! [X0: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ X0 @ $true )
      = $true ),
    inference(fool_elimination,[status(thm)],[f13]) ).

thf(f13,plain,
    ! [X0: $i] : ( holdsDuring_THFTYPE_IiooI @ X0 @ $true ),
    inference(rectify,[status(thm)],[f2]) ).

thf(f2,axiom,
    ! [X0: $i] : ( holdsDuring_THFTYPE_IiooI @ X0 @ $true ),
    file('/export/starexec/sandbox/tmp/tmp.xdsim8Bepg/DTF2THF_5774.p',ax_001) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CSR149^1 : TPTP v9.2.1. Released v4.1.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.34  % Computer : n031.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Feb 24 05:56:48 EST 2026
% 0.16/0.34  % CPUTime  : 
% 0.16/0.34  Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.21/0.46  ---- Original DTF file ---
% 0.21/0.46  thf(spec,logic,$$dhol).
% 0.21/0.46  %------------------------------------------------------------------------------
% 0.21/0.46  % File     : CSR149^1 : TPTP v9.2.1. Released v4.1.0.
% 0.21/0.46  % Domain   : Commonsense Reasoning
% 0.21/0.46  % Problem  : Elegantly, is there a year in which Sue liked somebody?
% 0.21/0.46  % Version  : Especial > Reduced > Especial.
% 0.21/0.46  % English  : What holds that holds at all times (elegantly expressed). Mary 
% 0.21/0.46  %            likes Bill. During 2009 Sue liked whoever Mary liked. Is there a 
% 0.21/0.46  %            year in which Sue liked somebody?
% 0.21/0.46  
% 0.21/0.46  % Refs     : [PS07]  Pease & Sutcliffe (2007), First Order Reasoning on a L
% 0.21/0.46  %          : [BP10]  Benzmueller & Pease (2010), Progress in Automating Hig
% 0.21/0.46  %          : [Ben10] Benzmueller (2010), Email to Geoff Sutcliffe
% 0.21/0.46  % Source   : [Ben10]
% 0.21/0.46  % Names    : paar_5.tq_SUMO_local [Ben10]
% 0.21/0.46  
% 0.21/0.46  % Status   : Theorem
% 0.21/0.46  % Rating   : 0.08 v9.1.0, 0.12 v9.0.0, 0.08 v8.2.0, 0.09 v8.1.0, 0.08 v7.4.0, 0.11 v7.3.0, 0.10 v7.2.0, 0.12 v7.1.0, 0.14 v7.0.0, 0.12 v6.4.0, 0.14 v6.3.0, 0.17 v6.2.0, 0.00 v6.1.0, 0.50 v6.0.0, 0.00 v5.4.0, 0.25 v5.3.0, 0.50 v4.1.0
% 0.21/0.46  % Syntax   : Number of formulae    :   12 (   1 unt;   8 typ;   0 def)
% 0.21/0.46  %            Number of atoms       :    8 (   0 equ;   0 cnn)
% 0.21/0.46  %            Maximal formula atoms :    3 (   2 avg)
% 0.21/0.46  %            Number of connectives :   17 (   0   ~;   0   |;   0   &;  16   @)
% 0.21/0.46  %                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
% 0.21/0.46  %            Maximal formula depth :    6 (   5 avg)
% 0.21/0.46  %            Number of types       :    3 (   1 usr)
% 0.21/0.46  %            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
% 0.21/0.46  %            Number of symbols     :    8 (   7 usr;   5 con; 0-2 aty)
% 0.21/0.46  %            Number of variables   :    4 (   0   ^;   2   !;   2   ?;   4   :)
% 0.21/0.46  % SPC      : TH0_THM_NEQ_NAR
% 0.21/0.46  
% 0.21/0.46  % Comments : This is a simple test problem for reasoning in/about SUMO.
% 0.21/0.46  %            Initally the problem has been hand generated in KIF syntax in
% 0.21/0.46  %            SigmaKEE and then automatically translated by Benzmueller's
% 0.21/0.46  %            KIF2TH0 translator into THF syntax.
% 0.21/0.46  %          : The translation has been applied in two modes: local and SInE.
% 0.21/0.46  %            The local mode only translates the local assumptions and the
% 0.21/0.46  %            query. The SInE mode additionally translates the SInE-extract
% 0.21/0.46  %            of the loaded knowledge base (usually SUMO).
% 0.21/0.46  %          : The examples are selected to illustrate the benefits of
% 0.21/0.46  %            higher-order reasoning in ontology reasoning.
% 0.21/0.46  %------------------------------------------------------------------------------
% 0.21/0.46  %----The extracted Signature
% 0.21/0.46  thf(numbers,type,
% 0.21/0.46      num: $tType ).
% 0.21/0.46  
% 0.21/0.46  thf(holdsDuring_THFTYPE_IiooI,type,
% 0.21/0.46      holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
% 0.21/0.46  
% 0.21/0.46  thf(lBill_THFTYPE_i,type,
% 0.21/0.46      lBill_THFTYPE_i: $i ).
% 0.21/0.46  
% 0.21/0.46  thf(lMary_THFTYPE_i,type,
% 0.21/0.46      lMary_THFTYPE_i: $i ).
% 0.21/0.46  
% 0.21/0.46  thf(lSue_THFTYPE_i,type,
% 0.21/0.46      lSue_THFTYPE_i: $i ).
% 0.21/0.46  
% 0.21/0.46  thf(lYearFn_THFTYPE_IiiI,type,
% 0.21/0.46      lYearFn_THFTYPE_IiiI: $i > $i ).
% 0.21/0.46  
% 0.21/0.46  thf(likes_THFTYPE_IiioI,type,
% 0.21/0.46      likes_THFTYPE_IiioI: $i > $i > $o ).
% 0.21/0.46  
% 0.21/0.46  thf(n2009_THFTYPE_i,type,
% 0.21/0.46      n2009_THFTYPE_i: $i ).
% 0.21/0.46  
% 0.21/0.46  %----The translated axioms
% 0.21/0.46  thf(ax,axiom,
% 0.21/0.46      likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ).
% 0.21/0.46  
% 0.21/0.46  thf(ax_001,axiom,
% 0.21/0.46      ! [Y: $i] : ( holdsDuring_THFTYPE_IiooI @ Y @ $true ) ).
% 0.21/0.46  
% 0.21/0.46  thf(ax_002,axiom,
% 0.21/0.46      ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
% 0.21/0.46      @ ! [X: $i] :
% 0.21/0.46          ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X )
% 0.21/0.46         => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) ) ).
% 0.21/0.46  
% 0.21/0.46  %----The translated conjectures
% 0.21/0.46  thf(con,conjecture,
% 0.21/0.46      ? [X: $i,Y: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ Y ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) ).
% 0.21/0.46  
% 0.21/0.46  %------------------------------------------------------------------------------
% 0.21/0.46  ------------------------
% 1.50/1.38  ---- Embedded in THF ---
% 1.50/1.38  %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.50/1.38  %%% Generated on Tue Feb 24 05:56:49 EST 2026
% 1.50/1.38  %%% using '$$dhol' embedding, version 1.3.0.
% 1.50/1.38  %%% Logic specification used:
% 1.50/1.38  %%% thf(spec, logic, $$dhol).
% 1.50/1.38  
% 1.50/1.38  % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.xdsim8Bepg/DTF2DTF5774.p
% See solution above
% 1.50/1.38  ------------------------
% 1.50/1.39  ---- Cleaned THF ---
% 1.50/1.39  thf(numbers,type,
% 1.50/1.39      num: $tType ).
% 1.50/1.39  
% 1.50/1.39  thf(holdsDuring_THFTYPE_IiooI,type,
% 1.50/1.39      holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
% 1.50/1.39  
% 1.50/1.39  thf(lBill_THFTYPE_i,type,
% 1.50/1.39      lBill_THFTYPE_i: $i ).
% 1.50/1.39  
% 1.50/1.39  thf(lMary_THFTYPE_i,type,
% 1.50/1.39      lMary_THFTYPE_i: $i ).
% 1.50/1.39  
% 1.50/1.39  thf(lSue_THFTYPE_i,type,
% 1.50/1.39      lSue_THFTYPE_i: $i ).
% 1.50/1.39  
% 1.50/1.39  thf(lYearFn_THFTYPE_IiiI,type,
% 1.50/1.39      lYearFn_THFTYPE_IiiI: $i > $i ).
% 1.50/1.39  
% 1.50/1.39  thf(likes_THFTYPE_IiioI,type,
% 1.50/1.39      likes_THFTYPE_IiioI: $i > $i > $o ).
% 1.50/1.39  
% 1.50/1.39  thf(n2009_THFTYPE_i,type,
% 1.50/1.39      n2009_THFTYPE_i: $i ).
% 1.50/1.39  
% 1.50/1.39  thf(ax,axiom,
% 1.50/1.39      likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ).
% 1.50/1.39  
% 1.50/1.39  thf(ax_001,axiom,
% 1.50/1.39      ! [Y: $i] : ( holdsDuring_THFTYPE_IiooI @ Y @ $true ) ).
% 1.50/1.39  
% 1.50/1.39  thf(ax_002,axiom,
% 1.50/1.39      ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
% 1.50/1.39      @ ! [X: $i] :
% 1.50/1.39          ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X )
% 1.50/1.39         => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) ) ).
% 1.50/1.39  
% 1.50/1.39  thf(con,conjecture,
% 1.50/1.39      ? [X: $i,Y: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ Y ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) ).
% 1.50/1.39  ------------------------
% 1.71/1.41  % (5873)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_5774 for (3000ds/4Mi)
% 1.71/1.41  % (5876)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_5774 for (3000ds/2Mi)
% 1.71/1.41  % (5872)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_5774 for (3000ds/183Mi)
% 1.71/1.41  % (5874)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_5774 for (3000ds/27Mi)
% 1.71/1.41  % (5877)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_5774 for (3000ds/275Mi)
% 1.71/1.41  % (5878)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_5774 for (3000ds/18Mi)
% 1.71/1.41  % (5875)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_5774 for (3000ds/2Mi)
% 1.71/1.41  % (5877)Refutation not found, incomplete strategy
% 1.71/1.41  % (5877)------------------------------
% 1.71/1.41  % (5877)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.41  % (5877)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.41  
% 1.71/1.41  % (5875)Instruction limit reached!
% 1.71/1.41  % (5875)------------------------------
% 1.71/1.41  % (5875)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.41  % (5875)Termination reason: Unknown
% 1.71/1.41  % (5875)Termination phase: Saturation
% 1.71/1.41  
% 1.71/1.41  % (5875)Memory used [KB]: 5500
% 1.71/1.41  % (5875)Time elapsed: 0.003 s
% 1.71/1.41  % (5875)Instructions burned: 2 (million)
% 1.71/1.41  % (5875)------------------------------
% 1.71/1.41  % (5875)------------------------------
% 1.71/1.41  
% 1.71/1.41  % (5877)Memory used [KB]: 5500
% 1.71/1.41  % (5876)Instruction limit reached!
% 1.71/1.41  % (5876)------------------------------
% 1.71/1.41  % (5876)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.41  % (5876)Termination reason: Unknown
% 1.71/1.41  % (5876)Termination phase: Saturation
% 1.71/1.41  
% 1.71/1.41  % (5876)Memory used [KB]: 5500
% 1.71/1.41  % (5876)Time elapsed: 0.003 s
% 1.71/1.41  % (5876)Instructions burned: 2 (million)
% 1.71/1.41  % (5876)------------------------------
% 1.71/1.41  % (5876)------------------------------
% 1.71/1.41  % (5877)Time elapsed: 0.002 s
% 1.71/1.41  % (5877)Instructions burned: 1 (million)
% 1.71/1.41  % (5877)------------------------------
% 1.71/1.41  % (5877)------------------------------
% 1.71/1.41  % (5874)Refutation not found, incomplete strategy
% 1.71/1.41  % (5874)------------------------------
% 1.71/1.41  % (5874)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.41  % (5874)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.41  
% 1.71/1.41  
% 1.71/1.41  % (5874)Memory used [KB]: 5500
% 1.71/1.41  % (5874)Time elapsed: 0.003 s
% 1.71/1.41  % (5874)Instructions burned: 2 (million)
% 1.71/1.41  % (5874)------------------------------
% 1.71/1.41  % (5874)------------------------------
% 1.71/1.41  % (5873)Refutation not found, incomplete strategy
% 1.71/1.41  % (5873)------------------------------
% 1.71/1.41  % (5873)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.41  % (5873)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.41  
% 1.71/1.41  
% 1.71/1.41  % (5873)Memory used [KB]: 5500
% 1.71/1.41  % (5873)Time elapsed: 0.004 s
% 1.71/1.41  % (5873)Instructions burned: 3 (million)
% 1.71/1.41  % (5873)------------------------------
% 1.71/1.41  % (5873)------------------------------
% 1.71/1.41  % (5872)First to succeed.
% 1.71/1.41  % (5878)Also succeeded, but the first one will report.
% 1.71/1.41  % (5872)Refutation found. Thanks to Tanya!
% 1.71/1.41  % SZS status Theorem for DTF2THF_5774
% 1.71/1.41  % SZS output start Proof for DTF2THF_5774
% 1.71/1.41  thf(func_def_0, type, num: $tType).
% 1.71/1.41  thf(func_def_1, type, holdsDuring_THFTYPE_IiooI: $i > $o > $o).
% 1.71/1.41  thf(func_def_5, type, lYearFn_THFTYPE_IiiI: $i > $i).
% 1.71/1.41  thf(func_def_6, type, likes_THFTYPE_IiioI: $i > $i > $o).
% 1.71/1.41  thf(func_def_16, type, ph1: !>[X0: $tType]:(X0)).
% 1.71/1.41  thf(f79,plain,(
% 1.71/1.41    $false),
% 1.71/1.41    inference(avatar_sat_refutation,[status(thm)],[f28,f48,f63,f69,f78])).
% 1.71/1.41  thf(f78,plain,(
% 1.71/1.41    ~spl0_1),
% 1.71/1.41    inference(avatar_contradiction_clause,[status(thm)],[f77])).
% 1.71/1.41  thf(f77,plain,(
% 1.71/1.41    $false | ~spl0_1),
% 1.71/1.41    inference(equality_resolution,[status(thm)],[f24])).
% 1.71/1.41  thf(f24,plain,(
% 1.71/1.41    ( ! [X0 : $i,X1 : $i] : (((lYearFn_THFTYPE_IiiI @ X0) != X1)) ) | ~spl0_1),
% 1.71/1.41    inference(avatar_component_clause,[status(thm)],[f23])).
% 1.71/1.41  thf(f23,definition,(
% 1.71/1.41    spl0_1 <=> ! [X0 : $i,X1 : $i] : ((lYearFn_THFTYPE_IiiI @ X0) != X1)),
% 1.71/1.41    introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
% 1.71/1.41  thf(f69,plain,(
% 1.71/1.41    ~spl0_3),
% 1.71/1.41    inference(avatar_contradiction_clause,[status(thm)],[f68])).
% 1.71/1.41  thf(f68,plain,(
% 1.71/1.41    $false | ~spl0_3),
% 1.71/1.41    inference(trivial_inequality_removal,[status(thm)],[f64])).
% 1.71/1.41  thf(f64,plain,(
% 1.71/1.41    ($true = $false) | ~spl0_3),
% 1.71/1.41    inference(superposition,[status(thm)],[f44,f19])).
% 1.71/1.41  thf(f19,plain,(
% 1.71/1.41    ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) = $true)),
% 1.71/1.41    inference(cnf_transformation,[status(thm)],[f10])).
% 1.71/1.41  thf(f10,plain,(
% 1.71/1.41    ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) = $true)),
% 1.71/1.41    inference(fool_elimination,[status(thm)],[f9])).
% 1.71/1.41  thf(f9,plain,(
% 1.71/1.41    (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)),
% 1.71/1.41    inference(rectify,[status(thm)],[f1])).
% 1.71/1.41  thf(f1,axiom,(
% 1.71/1.41    (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)),
% 1.71/1.41    file('/export/starexec/sandbox/tmp/tmp.xdsim8Bepg/DTF2THF_5774.p',ax)).
% 1.71/1.41  thf(f44,plain,(
% 1.71/1.41    ( ! [X2 : $i] : (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X2) = $false)) ) | ~spl0_3),
% 1.71/1.41    inference(avatar_component_clause,[status(thm)],[f43])).
% 1.71/1.41  thf(f43,definition,(
% 1.71/1.41    spl0_3 <=> ! [X2 : $i] : ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X2) = $false)),
% 1.71/1.41    introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])).
% 1.71/1.41  thf(f63,plain,(
% 1.71/1.41    ~spl0_4),
% 1.71/1.41    inference(avatar_contradiction_clause,[status(thm)],[f62])).
% 1.71/1.41  thf(f62,plain,(
% 1.71/1.41    $false | ~spl0_4),
% 1.71/1.41    inference(equality_resolution,[status(thm)],[f47])).
% 1.71/1.41  thf(f47,plain,(
% 1.71/1.41    ( ! [X0 : $i] : ((n2009_THFTYPE_i != X0)) ) | ~spl0_4),
% 1.71/1.41    inference(avatar_component_clause,[status(thm)],[f46])).
% 1.71/1.41  thf(f46,definition,(
% 1.71/1.41    spl0_4 <=> ! [X0 : $i] : (n2009_THFTYPE_i != X0)),
% 1.71/1.41    introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition])).
% 1.71/1.41  thf(f48,plain,(
% 1.71/1.41    spl0_3 | spl0_4 | ~spl0_2),
% 1.71/1.41    inference(avatar_split_clause,[status(thm)],[f41,f26,f46,f43])).
% 1.71/1.41  thf(f26,definition,(
% 1.71/1.41    spl0_2 <=> ! [X2 : $i] : ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X2) != $true)),
% 1.71/1.41    introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
% 1.71/1.41  thf(f41,plain,(
% 1.71/1.41    ( ! [X2 : $i,X0 : $i] : (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X2) = $false) | (n2009_THFTYPE_i != X0)) ) | ~spl0_2),
% 1.71/1.41    inference(subsumption_resolution,[status(thm)],[f40,f27])).
% 1.71/1.41  thf(f27,plain,(
% 1.71/1.41    ( ! [X2 : $i] : (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X2) != $true)) ) | ~spl0_2),
% 1.71/1.41    inference(avatar_component_clause,[status(thm)],[f26])).
% 1.71/1.41  thf(f40,plain,(
% 1.71/1.41    ( ! [X2 : $i,X0 : $i] : (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X2) = $false) | ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X2) = $true) | (n2009_THFTYPE_i != X0)) ) | ~spl0_2),
% 1.71/1.41    inference(subsumption_resolution,[status(thm)],[f39,f27])).
% 1.71/1.41  thf(f39,plain,(
% 1.71/1.41    ( ! [X2 : $i,X0 : $i,X1 : $i] : (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1) = $true) | (n2009_THFTYPE_i != X0) | ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X2) = $false) | ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X2) = $true)) )),
% 1.71/1.41    inference(binary_proxy_clausification,[status(thm)],[f38])).
% 1.71/1.41  thf(f38,plain,(
% 1.71/1.41    ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X2) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X2)) = $true) | (n2009_THFTYPE_i != X0) | ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1) = $true)) )),
% 1.71/1.41    inference(beta_eta_normalization,[status(thm)],[f37])).
% 1.71/1.41  thf(f37,plain,(
% 1.71/1.41    ( ! [X2 : $i,X0 : $i,X1 : $i] : ((n2009_THFTYPE_i != X0) | ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1) = $true) | (((^[Y0 : $i]: ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ Y0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Y0))) @ X2) = $true)) )),
% 1.71/1.41    inference(pi_clausification,[status(thm)],[f31])).
% 1.71/1.41  thf(f31,plain,(
% 1.71/1.41    ( ! [X0 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ Y0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Y0))))) | ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1) = $true) | (n2009_THFTYPE_i != X0)) )),
% 1.71/1.41    inference(binary_proxy_clausification,[status(thm)],[f30])).
% 1.71/1.41  thf(f30,plain,(
% 1.71/1.41    ( ! [X0 : $i,X1 : $i] : (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1) != (!! @ $i @ (^[Y0 : $i]: ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ Y0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Y0))))) | (n2009_THFTYPE_i != X0)) )),
% 1.71/1.41    inference(trivial_inequality_removal,[status(thm)],[f29])).
% 1.71/1.41  thf(f29,plain,(
% 1.71/1.41    ( ! [X0 : $i,X1 : $i] : (($true != $true) | ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1) != (!! @ $i @ (^[Y0 : $i]: ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ Y0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Y0))))) | (n2009_THFTYPE_i != X0)) )),
% 1.71/1.41    inference(constrained_superposition,[status(thm)],[f17,f16])).
% 1.71/1.41  thf(f16,plain,(
% 1.71/1.41    ((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))))) = $true)),
% 1.71/1.41    inference(cnf_transformation,[status(thm)],[f8])).
% 1.71/1.41  thf(f8,plain,(
% 1.71/1.41    ((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))))) = $true)),
% 1.71/1.41    inference(fool_elimination,[status(thm)],[f7])).
% 1.71/1.41  thf(f7,plain,(
% 1.71/1.41    (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)))),
% 1.71/1.41    inference(rectify,[status(thm)],[f3])).
% 1.71/1.41  thf(f3,axiom,(
% 1.71/1.41    (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ! [X1 : $i] : ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1)))),
% 1.71/1.41    file('/export/starexec/sandbox/tmp/tmp.xdsim8Bepg/DTF2THF_5774.p',ax_002)).
% 1.71/1.41  thf(f17,plain,(
% 1.71/1.41    ( ! [X0 : $i,X1 : $i] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ X1) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0)) != $true)) )),
% 1.71/1.41    inference(cnf_transformation,[status(thm)],[f15])).
% 1.71/1.41  thf(f15,plain,(
% 1.71/1.41    ! [X0 : $i,X1 : $i] : ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ X1) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0)) != $true)),
% 1.71/1.41    inference(ennf_transformation,[status(thm)],[f12])).
% 1.71/1.41  thf(f12,plain,(
% 1.71/1.41    ~? [X0 : $i,X1 : $i] : ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ X1) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0)) = $true)),
% 1.71/1.41    inference(fool_elimination,[status(thm)],[f11])).
% 1.71/1.41  thf(f11,plain,(
% 1.71/1.41    ~? [X0 : $i,X1 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ X1) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))),
% 1.71/1.41    inference(rectify,[status(thm)],[f5])).
% 1.71/1.41  thf(f5,negated_conjecture,(
% 1.71/1.41    ~? [X1 : $i,X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ X0) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1))),
% 1.71/1.41    inference(negated_conjecture,[status(cth)],[f4])).
% 1.71/1.41  thf(f4,conjecture,(
% 1.71/1.41    ? [X1 : $i,X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ X0) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1))),
% 1.71/1.41    file('/export/starexec/sandbox/tmp/tmp.xdsim8Bepg/DTF2THF_5774.p',con)).
% 1.71/1.41  thf(f28,plain,(
% 1.71/1.41    spl0_1 | spl0_2),
% 1.71/1.41    inference(avatar_split_clause,[status(thm)],[f21,f26,f23])).
% 1.71/1.41  thf(f21,plain,(
% 1.71/1.41    ( ! [X2 : $i,X0 : $i,X1 : $i] : (((lYearFn_THFTYPE_IiiI @ X0) != X1) | ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X2) != $true)) )),
% 1.71/1.41    inference(trivial_inequality_removal,[status(thm)],[f20])).
% 1.71/1.41  thf(f20,plain,(
% 1.71/1.41    ( ! [X2 : $i,X0 : $i,X1 : $i] : (((lYearFn_THFTYPE_IiiI @ X0) != X1) | ($true != $true) | ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X2) != $true)) )),
% 1.71/1.41    inference(constrained_superposition,[status(thm)],[f17,f18])).
% 1.71/1.41  thf(f18,plain,(
% 1.71/1.41    ( ! [X0 : $i] : (((holdsDuring_THFTYPE_IiooI @ X0 @ $true) = $true)) )),
% 1.71/1.41    inference(cnf_transformation,[status(thm)],[f14])).
% 1.71/1.41  thf(f14,plain,(
% 1.71/1.41    ! [X0 : $i] : ((holdsDuring_THFTYPE_IiooI @ X0 @ $true) = $true)),
% 1.71/1.41    inference(fool_elimination,[status(thm)],[f13])).
% 1.71/1.41  thf(f13,plain,(
% 1.71/1.41    ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ $true)),
% 1.71/1.41    inference(rectify,[status(thm)],[f2])).
% 1.71/1.41  thf(f2,axiom,(
% 1.71/1.41    ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ $true)),
% 1.71/1.41    file('/export/starexec/sandbox/tmp/tmp.xdsim8Bepg/DTF2THF_5774.p',ax_001)).
% 1.71/1.41  % SZS output end Proof for DTF2THF_5774
% 1.71/1.41  % (5872)------------------------------
% 1.71/1.41  % (5872)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.41  % (5872)Termination reason: Refutation
% 1.71/1.41  
% 1.71/1.41  % (5872)Memory used [KB]: 5500
% 1.71/1.41  % (5872)Time elapsed: 0.006 s
% 1.71/1.41  % (5872)Instructions burned: 5 (million)
% 1.71/1.41  % (5872)------------------------------
% 1.71/1.41  % (5872)------------------------------
% 1.71/1.41  % (5871)Success in time 0.018 s
%------------------------------------------------------------------------------