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DT2H2X---1.9.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : SEU927^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n019.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 09:37:46 AM UTC 2026

% Result   : Theorem 1.49s 1.27s
% Output   : Refutation 1.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   18 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   93 (  36 equ;   0 cnn)
%            Maximal formula atoms :    8 (   5 avg)
%            Number of connectives :  142 (  18   ~;   8   |;  14   &;  93   @)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   31 (  31   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   60 (  36   ^;  18   !;   6   ?;  60   :)

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

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

thf(func_def_2,type,
    vEPSILON: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_7,type,
    sK0: a > a ).

thf(func_def_8,type,
    sK1: ( a > a ) > $o ).

thf(func_def_10,type,
    ph3: 
      !>[X0: $tType] : X0 ).

thf(f20,plain,
    $false,
    inference(trivial_inequality_removal,[status(thm)],[f18]) ).

thf(f18,plain,
    $true != $true,
    inference(superposition,[status(thm)],[f11,f17]) ).

thf(f17,plain,
    ( ( sK1
      @ ^ [Y0: a] : ( sK0 @ ( sK0 @ Y0 ) ) )
    = $true ),
    inference(trivial_inequality_removal,[status(thm)],[f16]) ).

thf(f16,plain,
    ( ( ( sK1
        @ ^ [Y0: a] : ( sK0 @ ( sK0 @ Y0 ) ) )
      = $true )
    | ( $true != $true ) ),
    inference(superposition,[status(thm)],[f12,f15]) ).

thf(f15,plain,
    ( ( sK1 @ sK0 )
    = $true ),
    inference(beta_eta_normalization,[status(thm)],[f14]) ).

thf(f14,plain,
    ( ( sK1
      @ ^ [Y0: a] :
          ( sK0
          @ ( ^ [Y1: a] : Y1
            @ Y0 ) ) )
    = $true ),
    inference(trivial_inequality_removal,[status(thm)],[f13]) ).

thf(f13,plain,
    ( ( ( sK1
        @ ^ [Y0: a] :
            ( sK0
            @ ( ^ [Y1: a] : Y1
              @ Y0 ) ) )
      = $true )
    | ( $true != $true ) ),
    inference(superposition,[status(thm)],[f12,f10]) ).

thf(f10,plain,
    ( ( sK1
      @ ^ [Y0: a] : Y0 )
    = $true ),
    inference(cnf_transformation,[status(thm)],[f9]) ).

thf(f9,plain,
    ( ! [X2: a > a] :
        ( ( ( sK1
            @ ^ [Y0: a] : ( sK0 @ ( X2 @ Y0 ) ) )
          = $true )
        | ( ( sK1 @ X2 )
         != $true ) )
    & ( ( sK1
        @ ^ [Y0: a] : ( sK0 @ ( sK0 @ Y0 ) ) )
     != $true )
    & ( ( sK1
        @ ^ [Y0: a] : Y0 )
      = $true ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f8]) ).

thf(f8,plain,
    ( ? [X0: a > a,X1: ( a > a ) > $o] :
        ( ! [X2: a > a] :
            ( ( $true
              = ( X1
                @ ^ [Y0: a] : ( X0 @ ( X2 @ Y0 ) ) ) )
            | ( $true
             != ( X1 @ X2 ) ) )
        & ( ( X1
            @ ^ [Y0: a] : ( X0 @ ( X0 @ Y0 ) ) )
         != $true )
        & ( ( X1
            @ ^ [Y0: a] : Y0 )
          = $true ) )
   => ( ! [X2: a > a] :
          ( ( ( sK1
              @ ^ [Y0: a] : ( sK0 @ ( X2 @ Y0 ) ) )
            = $true )
          | ( ( sK1 @ X2 )
           != $true ) )
      & ( ( sK1
          @ ^ [Y0: a] : ( sK0 @ ( sK0 @ Y0 ) ) )
       != $true )
      & ( ( sK1
          @ ^ [Y0: a] : Y0 )
        = $true ) ) ),
    introduced(definition,[],[choice_axiom]) ).

thf(f7,plain,
    ? [X0: a > a,X1: ( a > a ) > $o] :
      ( ! [X2: a > a] :
          ( ( $true
            = ( X1
              @ ^ [Y0: a] : ( X0 @ ( X2 @ Y0 ) ) ) )
          | ( $true
           != ( X1 @ X2 ) ) )
      & ( ( X1
          @ ^ [Y0: a] : ( X0 @ ( X0 @ Y0 ) ) )
       != $true )
      & ( ( X1
          @ ^ [Y0: a] : Y0 )
        = $true ) ),
    inference(flattening,[status(thm)],[f6]) ).

thf(f6,plain,
    ? [X0: a > a,X1: ( a > a ) > $o] :
      ( ( ( X1
          @ ^ [Y0: a] : ( X0 @ ( X0 @ Y0 ) ) )
       != $true )
      & ! [X2: a > a] :
          ( ( $true
            = ( X1
              @ ^ [Y0: a] : ( X0 @ ( X2 @ Y0 ) ) ) )
          | ( $true
           != ( X1 @ X2 ) ) )
      & ( ( X1
          @ ^ [Y0: a] : Y0 )
        = $true ) ),
    inference(ennf_transformation,[status(thm)],[f5]) ).

thf(f5,plain,
    ~ ! [X0: a > a,X1: ( a > a ) > $o] :
        ( ( ! [X2: a > a] :
              ( ( $true
                = ( X1 @ X2 ) )
             => ( $true
                = ( X1
                  @ ^ [Y0: a] : ( X0 @ ( X2 @ Y0 ) ) ) ) )
          & ( ( X1
              @ ^ [Y0: a] : Y0 )
            = $true ) )
       => ( ( X1
            @ ^ [Y0: a] : ( X0 @ ( X0 @ Y0 ) ) )
          = $true ) ),
    inference(fool_elimination,[status(thm)],[f4]) ).

thf(f4,plain,
    ~ ! [X0: a > a,X1: ( a > a ) > $o] :
        ( ( ! [X2: a > a] :
              ( ( X1 @ X2 )
             => ( X1
                @ ^ [X3: a] : ( X0 @ ( X2 @ X3 ) ) ) )
          & ( X1
            @ ^ [X4: a] : X4 ) )
       => ( X1
          @ ^ [X5: a] : ( X0 @ ( X0 @ X5 ) ) ) ),
    inference(rectify,[status(thm)],[f2]) ).

thf(f2,negated_conjecture,
    ~ ! [X0: a > a,X1: ( a > a ) > $o] :
        ( ( ! [X3: a > a] :
              ( ( X1 @ X3 )
             => ( X1
                @ ^ [X4: a] : ( X0 @ ( X3 @ X4 ) ) ) )
          & ( X1
            @ ^ [X2: a] : X2 ) )
       => ( X1
          @ ^ [X4: a] : ( X0 @ ( X0 @ X4 ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

thf(f1,conjecture,
    ! [X0: a > a,X1: ( a > a ) > $o] :
      ( ( ! [X3: a > a] :
            ( ( X1 @ X3 )
           => ( X1
              @ ^ [X4: a] : ( X0 @ ( X3 @ X4 ) ) ) )
        & ( X1
          @ ^ [X2: a] : X2 ) )
     => ( X1
        @ ^ [X4: a] : ( X0 @ ( X0 @ X4 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.JRfeVVQ9zT/DTF2THF_9354.p',cTHM92_pme) ).

thf(f12,plain,
    ! [X2: a > a] :
      ( ( ( sK1 @ X2 )
       != $true )
      | ( ( sK1
          @ ^ [Y0: a] : ( sK0 @ ( X2 @ Y0 ) ) )
        = $true ) ),
    inference(cnf_transformation,[status(thm)],[f9]) ).

thf(f11,plain,
    ( ( sK1
      @ ^ [Y0: a] : ( sK0 @ ( sK0 @ Y0 ) ) )
   != $true ),
    inference(cnf_transformation,[status(thm)],[f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SEU927^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.12  % Command  : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.15/0.34  % Computer : n019.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.34  % DateTime : Tue Feb 24 12:37:24 EST 2026
% 0.15/0.34  % CPUTime  : 
% 0.15/0.34  Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.31/0.46  ---- Original DTF file ---
% 0.31/0.46  thf(spec,logic,$$dhol).
% 0.31/0.46  %------------------------------------------------------------------------------
% 0.31/0.46  % File     : SEU927^5 : TPTP v9.2.1. Released v4.0.0.
% 0.31/0.46  % Domain   : Set Theory (Functions)
% 0.31/0.46  % Problem  : TPS problem THM92
% 0.31/0.46  % Version  : Especial.
% 0.31/0.46  % English  : Trivial theorem which gives nice simple example of an expansion
% 0.31/0.46  %            proof.
% 0.31/0.46  
% 0.31/0.46  % Refs     : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.31/0.46  % Source   : [Bro09]
% 0.31/0.46  % Names    : tps_0233 [Bro09]
% 0.31/0.46  %          : THM92 [TPS]
% 0.31/0.46  
% 0.31/0.46  % Status   : Theorem
% 0.31/0.46  % Rating   : 0.08 v9.1.0, 0.12 v9.0.0, 0.08 v8.2.0, 0.09 v8.1.0, 0.25 v7.4.0, 0.22 v7.3.0, 0.20 v7.2.0, 0.25 v7.1.0, 0.29 v7.0.0, 0.25 v6.4.0, 0.29 v6.3.0, 0.33 v6.1.0, 0.17 v6.0.0, 0.00 v5.3.0, 0.25 v5.2.0, 0.00 v4.0.0
% 0.31/0.46  % Syntax   : Number of formulae    :    2 (   0 unt;   1 typ;   0 def)
% 0.31/0.46  %            Number of atoms       :    0 (   0 equ;   0 cnn)
% 0.31/0.46  %            Maximal formula atoms :    0 (   0 avg)
% 0.31/0.46  %            Number of connectives :   11 (   0   ~;   0   |;   1   &;   8   @)
% 0.31/0.46  %                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
% 0.31/0.46  %            Maximal formula depth :   11 (  11 avg)
% 0.31/0.46  %            Number of types       :    2 (   1 usr)
% 0.31/0.46  %            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
% 0.31/0.46  %            Number of symbols     :    0 (   0 usr;   0 con; --- aty)
% 0.31/0.46  %            Number of variables   :    6 (   3   ^;   3   !;   0   ?;   6   :)
% 0.31/0.46  % SPC      : TH0_THM_NEQ_NAR
% 0.31/0.46  
% 0.31/0.46  % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.31/0.46  %            project in the Department of Mathematical Sciences at Carnegie
% 0.31/0.46  %            Mellon University. Distributed under the Creative Commons copyleft
% 0.31/0.46  %            license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.31/0.46  %          : Polymorphic definitions expanded.
% 0.31/0.46  %------------------------------------------------------------------------------
% 0.31/0.46  thf(a_type,type,
% 0.31/0.46      a: $tType ).
% 0.31/0.46  
% 0.31/0.46  thf(cTHM92_pme,conjecture,
% 0.31/0.46      ! [Xf: a > a,Xp: ( a > a ) > $o] :
% 0.31/0.46        ( ( ( Xp
% 0.31/0.46            @ ^ [Xu: a] : Xu )
% 0.31/0.46          & ! [Xj: a > a] :
% 0.31/0.46              ( ( Xp @ Xj )
% 0.31/0.46             => ( Xp
% 0.31/0.46                @ ^ [Xx: a] : ( Xf @ ( Xj @ Xx ) ) ) ) )
% 0.31/0.46       => ( Xp
% 0.31/0.46          @ ^ [Xx: a] : ( Xf @ ( Xf @ Xx ) ) ) ) ).
% 0.31/0.46  
% 0.31/0.46  %------------------------------------------------------------------------------
% 0.31/0.46  ------------------------
% 1.49/1.24  ---- Embedded in THF ---
% 1.49/1.24  %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.49/1.24  %%% Generated on Tue Feb 24 12:37:25 EST 2026
% 1.49/1.24  %%% using '$$dhol' embedding, version 1.3.0.
% 1.49/1.24  %%% Logic specification used:
% 1.49/1.24  %%% thf(spec, logic, $$dhol).
% 1.49/1.24  
% 1.49/1.24  % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.JRfeVVQ9zT/DTF2DTF9354.p
% See solution above
% 1.49/1.24  ------------------------
% 1.49/1.25  ---- Cleaned THF ---
% 1.49/1.25  thf(a_type,type,
% 1.49/1.25      a: $tType ).
% 1.49/1.25  
% 1.49/1.25  thf(cTHM92_pme,conjecture,
% 1.49/1.25      ! [Xf: a > a,Xp: ( a > a ) > $o] :
% 1.49/1.25        ( ( ( Xp
% 1.49/1.25            @ ^ [Xu: a] : Xu )
% 1.49/1.25          & ! [Xj: a > a] :
% 1.49/1.25              ( ( Xp @ Xj )
% 1.49/1.25             => ( Xp
% 1.49/1.25                @ ^ [Xx: a] : ( Xf @ ( Xj @ Xx ) ) ) ) )
% 1.49/1.25       => ( Xp
% 1.49/1.25          @ ^ [Xx: a] : ( Xf @ ( Xf @ Xx ) ) ) ) ).
% 1.49/1.25  ------------------------
% 1.49/1.26  % (9569)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_9354 for (2999ds/27Mi)
% 1.49/1.26  % (9568)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_9354 for (2999ds/4Mi)
% 1.49/1.26  % (9569)First to succeed.
% 1.49/1.27  % (9568)Also succeeded, but the first one will report.
% 1.49/1.27  % (9569)Refutation found. Thanks to Tanya!
% 1.49/1.27  % SZS status Theorem for DTF2THF_9354
% 1.49/1.27  % SZS output start Proof for DTF2THF_9354
% 1.49/1.27  thf(type_def_5, type, a: $tType).
% 1.49/1.27  thf(func_def_0, type, a: $tType).
% 1.49/1.27  thf(func_def_2, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 1.49/1.27  thf(func_def_7, type, sK0: a > a).
% 1.49/1.27  thf(func_def_8, type, sK1: (a > a) > $o).
% 1.49/1.27  thf(func_def_10, type, ph3: !>[X0: $tType]:(X0)).
% 1.49/1.27  thf(f20,plain,(
% 1.49/1.27    $false),
% 1.49/1.27    inference(trivial_inequality_removal,[status(thm)],[f18])).
% 1.49/1.27  thf(f18,plain,(
% 1.49/1.27    ($true != $true)),
% 1.49/1.27    inference(superposition,[status(thm)],[f11,f17])).
% 1.49/1.27  thf(f17,plain,(
% 1.49/1.27    ((sK1 @ (^[Y0 : a]: (sK0 @ (sK0 @ Y0)))) = $true)),
% 1.49/1.27    inference(trivial_inequality_removal,[status(thm)],[f16])).
% 1.49/1.27  thf(f16,plain,(
% 1.49/1.27    ((sK1 @ (^[Y0 : a]: (sK0 @ (sK0 @ Y0)))) = $true) | ($true != $true)),
% 1.49/1.27    inference(superposition,[status(thm)],[f12,f15])).
% 1.49/1.27  thf(f15,plain,(
% 1.49/1.27    ((sK1 @ sK0) = $true)),
% 1.49/1.27    inference(beta_eta_normalization,[status(thm)],[f14])).
% 1.49/1.27  thf(f14,plain,(
% 1.49/1.27    ((sK1 @ (^[Y0 : a]: (sK0 @ ((^[Y1 : a]: (Y1)) @ Y0)))) = $true)),
% 1.49/1.27    inference(trivial_inequality_removal,[status(thm)],[f13])).
% 1.49/1.27  thf(f13,plain,(
% 1.49/1.27    ((sK1 @ (^[Y0 : a]: (sK0 @ ((^[Y1 : a]: (Y1)) @ Y0)))) = $true) | ($true != $true)),
% 1.49/1.27    inference(superposition,[status(thm)],[f12,f10])).
% 1.49/1.27  thf(f10,plain,(
% 1.49/1.27    ((sK1 @ (^[Y0 : a]: (Y0))) = $true)),
% 1.49/1.27    inference(cnf_transformation,[status(thm)],[f9])).
% 1.49/1.27  thf(f9,plain,(
% 1.49/1.27    ! [X2 : a > a] : (((sK1 @ (^[Y0 : a]: (sK0 @ (X2 @ Y0)))) = $true) | ((sK1 @ X2) != $true)) & ((sK1 @ (^[Y0 : a]: (sK0 @ (sK0 @ Y0)))) != $true) & ((sK1 @ (^[Y0 : a]: (Y0))) = $true)),
% 1.49/1.27    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f8])).
% 1.49/1.27  thf(f8,plain,(
% 1.49/1.27    ? [X0 : a > a,X1 : (a > a) > $o] : (! [X2 : a > a] : (($true = (X1 @ (^[Y0 : a]: (X0 @ (X2 @ Y0))))) | ($true != (X1 @ X2))) & ((X1 @ (^[Y0 : a]: (X0 @ (X0 @ Y0)))) != $true) & ((X1 @ (^[Y0 : a]: (Y0))) = $true)) => (! [X2 : a > a] : (((sK1 @ (^[Y0 : a]: (sK0 @ (X2 @ Y0)))) = $true) | ((sK1 @ X2) != $true)) & ((sK1 @ (^[Y0 : a]: (sK0 @ (sK0 @ Y0)))) != $true) & ((sK1 @ (^[Y0 : a]: (Y0))) = $true))),
% 1.49/1.27    introduced(definition,[],[choice_axiom])).
% 1.49/1.27  thf(f7,plain,(
% 1.49/1.27    ? [X0 : a > a,X1 : (a > a) > $o] : (! [X2 : a > a] : (($true = (X1 @ (^[Y0 : a]: (X0 @ (X2 @ Y0))))) | ($true != (X1 @ X2))) & ((X1 @ (^[Y0 : a]: (X0 @ (X0 @ Y0)))) != $true) & ((X1 @ (^[Y0 : a]: (Y0))) = $true))),
% 1.49/1.27    inference(flattening,[status(thm)],[f6])).
% 1.49/1.27  thf(f6,plain,(
% 1.49/1.27    ? [X0 : a > a,X1 : (a > a) > $o] : (((X1 @ (^[Y0 : a]: (X0 @ (X0 @ Y0)))) != $true) & (! [X2 : a > a] : (($true = (X1 @ (^[Y0 : a]: (X0 @ (X2 @ Y0))))) | ($true != (X1 @ X2))) & ((X1 @ (^[Y0 : a]: (Y0))) = $true)))),
% 1.49/1.27    inference(ennf_transformation,[status(thm)],[f5])).
% 1.49/1.27  thf(f5,plain,(
% 1.49/1.27    ~! [X0 : a > a,X1 : (a > a) > $o] : ((! [X2 : a > a] : (($true = (X1 @ X2)) => ($true = (X1 @ (^[Y0 : a]: (X0 @ (X2 @ Y0)))))) & ((X1 @ (^[Y0 : a]: (Y0))) = $true)) => ((X1 @ (^[Y0 : a]: (X0 @ (X0 @ Y0)))) = $true))),
% 1.49/1.27    inference(fool_elimination,[status(thm)],[f4])).
% 1.49/1.27  thf(f4,plain,(
% 1.49/1.27    ~! [X0 : a > a,X1 : (a > a) > $o] : ((! [X2 : a > a] : ((X1 @ X2) => (X1 @ (^[X3 : a] : (X0 @ (X2 @ X3))))) & (X1 @ (^[X4 : a] : (X4)))) => (X1 @ (^[X5 : a] : (X0 @ (X0 @ X5)))))),
% 1.49/1.27    inference(rectify,[status(thm)],[f2])).
% 1.49/1.27  thf(f2,negated_conjecture,(
% 1.49/1.27    ~! [X0 : a > a,X1 : (a > a) > $o] : ((! [X3 : a > a] : ((X1 @ X3) => (X1 @ (^[X4 : a] : (X0 @ (X3 @ X4))))) & (X1 @ (^[X2 : a] : (X2)))) => (X1 @ (^[X4 : a] : (X0 @ (X0 @ X4)))))),
% 1.49/1.27    inference(negated_conjecture,[status(cth)],[f1])).
% 1.49/1.27  thf(f1,conjecture,(
% 1.49/1.27    ! [X0 : a > a,X1 : (a > a) > $o] : ((! [X3 : a > a] : ((X1 @ X3) => (X1 @ (^[X4 : a] : (X0 @ (X3 @ X4))))) & (X1 @ (^[X2 : a] : (X2)))) => (X1 @ (^[X4 : a] : (X0 @ (X0 @ X4)))))),
% 1.49/1.27    file('/export/starexec/sandbox2/tmp/tmp.JRfeVVQ9zT/DTF2THF_9354.p',cTHM92_pme)).
% 1.49/1.27  thf(f12,plain,(
% 1.49/1.27    ( ! [X2 : a > a] : (((sK1 @ X2) != $true) | ((sK1 @ (^[Y0 : a]: (sK0 @ (X2 @ Y0)))) = $true)) )),
% 1.49/1.27    inference(cnf_transformation,[status(thm)],[f9])).
% 1.49/1.27  thf(f11,plain,(
% 1.49/1.27    ((sK1 @ (^[Y0 : a]: (sK0 @ (sK0 @ Y0)))) != $true)),
% 1.49/1.27    inference(cnf_transformation,[status(thm)],[f9])).
% 1.49/1.27  % SZS output end Proof for DTF2THF_9354
% 1.49/1.27  % (9569)------------------------------
% 1.49/1.27  % (9569)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.27  % (9569)Termination reason: Refutation
% 1.49/1.27  
% 1.49/1.27  % (9569)Memory used [KB]: 5500
% 1.49/1.27  % (9569)Time elapsed: 0.003 s
% 1.49/1.27  % (9569)Instructions burned: 1 (million)
% 1.49/1.27  % (9569)------------------------------
% 1.49/1.27  % (9569)------------------------------
% 1.49/1.27  % (9566)Success in time 0.012 s
%------------------------------------------------------------------------------