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DT2H2X---1.9.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : SYO011^1 : TPTP v9.2.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n015.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 09:53:08 AM UTC 2026

% Result   : Theorem 1.47s 1.29s
% Output   : Refutation 1.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   25 (  17 unt;   0 typ;   0 def)
%            Number of atoms       :   85 (  29 equ;   0 cnn)
%            Maximal formula atoms :    3 (   3 avg)
%            Number of connectives :  111 (  12   ~;   2   |;   8   &;  73   @)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   5 usr;   4 con; 0-2 aty)
%                                         (   4  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   43 (  25   ^;  18   !;   0   ?;  43   :)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_0,type,
    leibeq: $i > $i > $o ).

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

thf(func_def_3,type,
    f: $i > $i ).

thf(func_def_14,type,
    ph1: 
      !>[X0: $tType] : X0 ).

thf(f53,plain,
    $false,
    inference(trivial_inequality_removal,[status(thm)],[f51]) ).

thf(f51,plain,
    sK2 != sK2,
    inference(superposition,[status(thm)],[f23,f24]) ).

thf(f24,plain,
    ! [X0: $i] :
      ( ( f @ X0 )
      = X0 ),
    inference(leibniz_equality_elimination,[status(thm)],[f19]) ).

thf(f19,plain,
    ! [X0: $i,X1: $i > $o] :
      ( ( ( X1 @ ( f @ X0 ) )
        = $false )
      | ( $true
        = ( X1 @ X0 ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f18]) ).

thf(f18,plain,
    ! [X0: $i,X1: $i > $o] :
      ( $true
      = ( ( X1 @ ( f @ X0 ) )
       => ( X1 @ X0 ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f17]) ).

thf(f17,plain,
    ! [X0: $i,X1: $i > $o] :
      ( $true
      = ( ^ [Y0: $i > $o] :
            ( ( Y0 @ ( f @ X0 ) )
           => ( Y0 @ X0 ) )
        @ X1 ) ),
    inference(pi_clausification,[status(thm)],[f16]) ).

thf(f16,plain,
    ! [X0: $i] :
      ( $true
      = ( !! @ ( $i > $o )
        @ ^ [Y0: $i > $o] :
            ( ( Y0 @ ( f @ X0 ) )
           => ( Y0 @ X0 ) ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f15]) ).

thf(f15,plain,
    ! [X0: $i] :
      ( ( ^ [Y0: $i,Y1: $i] :
            ( !! @ ( $i > $o )
            @ ^ [Y2: $i > $o] :
                ( ( Y2 @ Y0 )
               => ( Y2 @ Y1 ) ) )
        @ ( f @ X0 )
        @ X0 )
      = $true ),
    inference(definition_unfolding,[status(thm)],[f14,f11]) ).

thf(f11,plain,
    ( leibeq
    = ( ^ [Y0: $i,Y1: $i] :
          ( !! @ ( $i > $o )
          @ ^ [Y2: $i > $o] :
              ( ( Y2 @ Y0 )
             => ( Y2 @ Y1 ) ) ) ) ),
    inference(cnf_transformation,[status(thm)],[f6]) ).

thf(f6,plain,
    ( leibeq
    = ( ^ [Y0: $i,Y1: $i] :
          ( !! @ ( $i > $o )
          @ ^ [Y2: $i > $o] :
              ( ( Y2 @ Y0 )
             => ( Y2 @ Y1 ) ) ) ) ),
    inference(fool_elimination,[status(thm)],[f5]) ).

thf(f5,plain,
    ( ( ^ [X0: $i,X1: $i] :
        ! [X2: $i > $o] :
          ( ( X2 @ X0 )
         => ( X2 @ X1 ) ) )
    = leibeq ),
    inference(rectify,[status(thm)],[f1]) ).

thf(f1,axiom,
    ( ( ^ [X0: $i,X1: $i] :
        ! [X2: $i > $o] :
          ( ( X2 @ X0 )
         => ( X2 @ X1 ) ) )
    = leibeq ),
    file('/export/starexec/sandbox/tmp/tmp.WWBU5KDAzP/DTF2THF_4897.p',leibeq) ).

thf(f14,plain,
    ! [X0: $i] :
      ( $true
      = ( leibeq @ ( f @ X0 ) @ X0 ) ),
    inference(cnf_transformation,[status(thm)],[f10]) ).

thf(f10,plain,
    ( ! [X0: $i] :
        ( $true
        = ( leibeq @ ( f @ X0 ) @ X0 ) )
    & ( $true
      = ( p
        @ ^ [Y0: $i] : Y0 ) )
    & ( ( p @ f )
     != $true ) ),
    inference(flattening,[status(thm)],[f9]) ).

thf(f9,plain,
    ( ( ( p @ f )
     != $true )
    & ! [X0: $i] :
        ( $true
        = ( leibeq @ ( f @ X0 ) @ X0 ) )
    & ( $true
      = ( p
        @ ^ [Y0: $i] : Y0 ) ) ),
    inference(ennf_transformation,[status(thm)],[f8]) ).

thf(f8,plain,
    ~ ( ( ! [X0: $i] :
            ( $true
            = ( leibeq @ ( f @ X0 ) @ X0 ) )
        & ( $true
          = ( p
            @ ^ [Y0: $i] : Y0 ) ) )
     => ( ( p @ f )
        = $true ) ),
    inference(fool_elimination,[status(thm)],[f7]) ).

thf(f7,plain,
    ~ ( ( ! [X0: $i] : ( leibeq @ ( f @ X0 ) @ X0 )
        & ( p
          @ ^ [X1: $i] : X1 ) )
     => ( p @ f ) ),
    inference(rectify,[status(thm)],[f3]) ).

thf(f3,negated_conjecture,
    ~ ( ( ! [X3: $i] : ( leibeq @ ( f @ X3 ) @ X3 )
        & ( p
          @ ^ [X3: $i] : X3 ) )
     => ( p @ f ) ),
    inference(negated_conjecture,[status(cth)],[f2]) ).

thf(f2,conjecture,
    ( ( ! [X3: $i] : ( leibeq @ ( f @ X3 ) @ X3 )
      & ( p
        @ ^ [X3: $i] : X3 ) )
   => ( p @ f ) ),
    file('/export/starexec/sandbox/tmp/tmp.WWBU5KDAzP/DTF2THF_4897.p',conj) ).

thf(f23,plain,
    ( sK2
   != ( f @ sK2 ) ),
    inference(beta_eta_normalization,[status(thm)],[f22]) ).

thf(f22,plain,
    ( ( f @ sK2 )
   != ( ^ [Y0: $i] : Y0
      @ sK2 ) ),
    inference(negative_extensionality,[status(thm)],[f21]) ).

thf(f21,plain,
    ( f
   != ( ^ [Y0: $i] : Y0 ) ),
    inference(trivial_inequality_removal,[status(thm)],[f20]) ).

thf(f20,plain,
    ( ( f
     != ( ^ [Y0: $i] : Y0 ) )
    | ( $true != $true ) ),
    inference(constrained_superposition,[status(thm)],[f12,f13]) ).

thf(f13,plain,
    ( $true
    = ( p
      @ ^ [Y0: $i] : Y0 ) ),
    inference(cnf_transformation,[status(thm)],[f10]) ).

thf(f12,plain,
    ( ( p @ f )
   != $true ),
    inference(cnf_transformation,[status(thm)],[f10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYO011^1 : TPTP v9.2.1. Released v3.7.0.
% 0.00/0.12  % Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.33  % Computer : n015.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % 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 14:21:31 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
% 0.29/0.45  ---- Original DTF file ---
% 0.29/0.46  thf(spec,logic,$$dhol).
% 0.29/0.46  %------------------------------------------------------------------------------
% 0.29/0.46  % File     : SYO011^1 : TPTP v9.2.1. Released v3.7.0.
% 0.29/0.46  % Domain   : Syntactic
% 0.29/0.46  % Problem  : Invalid formula in model classes not requiring f
% 0.29/0.46  % Version  : Especial.
% 0.29/0.46  % English  :
% 0.29/0.46  
% 0.29/0.46  % Refs     : [BB05]  Benzmueller & Brown (2005), A Structured Set of Higher
% 0.29/0.46  %          : [Ben09] Benzmueller (2009), Email to Geoff Sutcliffe
% 0.29/0.46  % Source   : [Ben09]
% 0.29/0.46  % Names    : Example 14 [BB05]
% 0.29/0.46  
% 0.29/0.46  % Status   : Theorem
% 0.29/0.46  %          : Without functional extensionality : CounterSatisfiable
% 0.29/0.46  % Rating   : 0.11 v9.1.0, 0.12 v9.0.0, 0.10 v8.2.0, 0.38 v8.1.0, 0.36 v7.5.0, 0.29 v7.4.0, 0.11 v7.2.0, 0.12 v7.1.0, 0.00 v6.2.0, 0.29 v6.1.0, 0.43 v6.0.0, 0.29 v5.5.0, 0.33 v5.4.0, 0.40 v5.3.0, 0.60 v4.1.0, 0.67 v4.0.1, 1.00 v3.7.0
% 0.29/0.46  % Syntax   : Number of formulae    :    5 (   1 unt;   3 typ;   1 def)
% 0.29/0.46  %            Number of atoms       :    5 (   1 equ;   0 cnn)
% 0.29/0.46  %            Maximal formula atoms :    3 (   2 avg)
% 0.29/0.46  %            Number of connectives :   10 (   0   ~;   0   |;   1   &;   7   @)
% 0.29/0.46  %                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
% 0.29/0.46  %            Maximal formula depth :    7 (   4 avg)
% 0.29/0.46  %            Number of types       :    2 (   0 usr)
% 0.29/0.46  %            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
% 0.29/0.46  %            Number of symbols     :    4 (   3 usr;   0 con; 1-2 aty)
% 0.29/0.46  %            Number of variables   :    5 (   3   ^;   2   !;   0   ?;   5   :)
% 0.29/0.46  % SPC      : TH0_THM_EQU_NAR
% 0.29/0.46  
% 0.29/0.46  % Comments : 
% 0.29/0.46  %------------------------------------------------------------------------------
% 0.29/0.46  thf(leibeq_type,type,
% 0.29/0.46      leibeq: $i > $i > $o ).
% 0.29/0.46  
% 0.29/0.46  thf(leibeq,definition,
% 0.29/0.46      ( leibeq
% 0.29/0.46      = ( ^ [U: $i,V: $i] :
% 0.29/0.46          ! [Q: $i > $o] :
% 0.29/0.46            ( ( Q @ U )
% 0.29/0.46           => ( Q @ V ) ) ) ) ).
% 0.29/0.46  
% 0.29/0.46  thf(p_type,type,
% 0.29/0.46      p: ( $i > $i ) > $o ).
% 0.29/0.46  
% 0.29/0.46  thf(f_type,type,
% 0.29/0.46      f: $i > $i ).
% 0.29/0.46  
% 0.29/0.46  thf(conj,conjecture,
% 0.29/0.46      ( ( ! [X: $i] : ( leibeq @ ( f @ X ) @ X )
% 0.29/0.46        & ( p
% 0.29/0.46          @ ^ [X: $i] : X ) )
% 0.29/0.46     => ( p @ f ) ) ).
% 0.29/0.46  
% 0.29/0.46  %------------------------------------------------------------------------------
% 0.29/0.46  ------------------------
% 1.47/1.26  ---- Embedded in THF ---
% 1.47/1.26  %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.47/1.26  %%% Generated on Tue Feb 24 14:21:32 EST 2026
% 1.47/1.26  %%% using '$$dhol' embedding, version 1.3.0.
% 1.47/1.26  %%% Logic specification used:
% 1.47/1.26  %%% thf(spec, logic, $$dhol).
% 1.47/1.26  
% 1.47/1.26  % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.WWBU5KDAzP/DTF2DTF4897.p
% See solution above
% 1.47/1.26  ------------------------
% 1.47/1.27  ---- Cleaned THF ---
% 1.47/1.27  thf(leibeq_type,type,
% 1.47/1.27      leibeq: $i > $i > $o ).
% 1.47/1.27  
% 1.47/1.27  thf(leibeq,definition,
% 1.47/1.27      ( leibeq
% 1.47/1.27      = ( ^ [U: $i,V: $i] :
% 1.47/1.27          ! [Q: $i > $o] :
% 1.47/1.27            ( ( Q @ U )
% 1.47/1.27           => ( Q @ V ) ) ) ) ).
% 1.47/1.27  
% 1.47/1.27  thf(p_type,type,
% 1.47/1.27      p: ( $i > $i ) > $o ).
% 1.47/1.27  
% 1.47/1.27  thf(f_type,type,
% 1.47/1.27      f: $i > $i ).
% 1.47/1.27  
% 1.47/1.27  thf(conj,conjecture,
% 1.47/1.27      ( ( ! [X: $i] : ( leibeq @ ( f @ X ) @ X )
% 1.47/1.27        & ( p
% 1.47/1.27          @ ^ [X: $i] : X ) )
% 1.47/1.27     => ( p @ f ) ) ).
% 1.47/1.27  ------------------------
% 1.47/1.29  % (5173)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_4897 for (2999ds/183Mi)
% 1.47/1.29  % (5175)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_4897 for (2999ds/27Mi)
% 1.47/1.29  % (5175)Refutation not found, incomplete strategy
% 1.47/1.29  % (5175)------------------------------
% 1.47/1.29  % (5175)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.29  % (5175)Termination reason: Refutation not found, incomplete strategy
% 1.47/1.29  
% 1.47/1.29  
% 1.47/1.29  % (5175)Memory used [KB]: 5500
% 1.47/1.29  % (5175)Time elapsed: 0.002 s
% 1.47/1.29  % (5175)Instructions burned: 2 (million)
% 1.47/1.29  % (5175)------------------------------
% 1.47/1.29  % (5175)------------------------------
% 1.47/1.29  % (5173)First to succeed.
% 1.47/1.29  % (5173)Refutation found. Thanks to Tanya!
% 1.47/1.29  % SZS status Theorem for DTF2THF_4897
% 1.47/1.29  % SZS output start Proof for DTF2THF_4897
% 1.47/1.29  thf(func_def_0, type, leibeq: $i > $i > $o).
% 1.47/1.29  thf(func_def_2, type, p: ($i > $i) > $o).
% 1.47/1.29  thf(func_def_3, type, f: $i > $i).
% 1.47/1.29  thf(func_def_14, type, ph1: !>[X0: $tType]:(X0)).
% 1.47/1.29  thf(f53,plain,(
% 1.47/1.29    $false),
% 1.47/1.29    inference(trivial_inequality_removal,[status(thm)],[f51])).
% 1.47/1.29  thf(f51,plain,(
% 1.47/1.29    (sK2 != sK2)),
% 1.47/1.29    inference(superposition,[status(thm)],[f23,f24])).
% 1.47/1.29  thf(f24,plain,(
% 1.47/1.29    ( ! [X0 : $i] : (((f @ X0) = X0)) )),
% 1.47/1.29    inference(leibniz_equality_elimination,[status(thm)],[f19])).
% 1.47/1.29  thf(f19,plain,(
% 1.47/1.29    ( ! [X0 : $i,X1 : $i > $o] : (((X1 @ (f @ X0)) = $false) | ($true = (X1 @ X0))) )),
% 1.47/1.29    inference(binary_proxy_clausification,[status(thm)],[f18])).
% 1.47/1.29  thf(f18,plain,(
% 1.47/1.29    ( ! [X0 : $i,X1 : $i > $o] : (($true = ((X1 @ (f @ X0)) => (X1 @ X0)))) )),
% 1.47/1.29    inference(beta_eta_normalization,[status(thm)],[f17])).
% 1.47/1.29  thf(f17,plain,(
% 1.47/1.29    ( ! [X0 : $i,X1 : $i > $o] : (($true = ((^[Y0 : $i > $o]: ((Y0 @ (f @ X0)) => (Y0 @ X0))) @ X1))) )),
% 1.47/1.29    inference(pi_clausification,[status(thm)],[f16])).
% 1.47/1.29  thf(f16,plain,(
% 1.47/1.29    ( ! [X0 : $i] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ (f @ X0)) => (Y0 @ X0)))))) )),
% 1.47/1.29    inference(beta_eta_normalization,[status(thm)],[f15])).
% 1.47/1.29  thf(f15,plain,(
% 1.47/1.29    ( ! [X0 : $i] : ((((^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y0) => (Y2 @ Y1))))))) @ (f @ X0) @ X0) = $true)) )),
% 1.47/1.29    inference(definition_unfolding,[status(thm)],[f14,f11])).
% 1.47/1.29  thf(f11,plain,(
% 1.47/1.29    (leibeq = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y0) => (Y2 @ Y1))))))))),
% 1.47/1.29    inference(cnf_transformation,[status(thm)],[f6])).
% 1.47/1.29  thf(f6,plain,(
% 1.47/1.29    (leibeq = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y0) => (Y2 @ Y1))))))))),
% 1.47/1.29    inference(fool_elimination,[status(thm)],[f5])).
% 1.47/1.29  thf(f5,plain,(
% 1.47/1.29    ((^[X0 : $i, X1 : $i] : (! [X2 : $i > $o] : ((X2 @ X0) => (X2 @ X1)))) = leibeq)),
% 1.47/1.29    inference(rectify,[status(thm)],[f1])).
% 1.47/1.29  thf(f1,axiom,(
% 1.47/1.29    ((^[X0 : $i, X1 : $i] : (! [X2 : $i > $o] : ((X2 @ X0) => (X2 @ X1)))) = leibeq)),
% 1.47/1.29    file('/export/starexec/sandbox/tmp/tmp.WWBU5KDAzP/DTF2THF_4897.p',leibeq)).
% 1.47/1.29  thf(f14,plain,(
% 1.47/1.29    ( ! [X0 : $i] : (($true = (leibeq @ (f @ X0) @ X0))) )),
% 1.47/1.29    inference(cnf_transformation,[status(thm)],[f10])).
% 1.47/1.29  thf(f10,plain,(
% 1.47/1.29    ! [X0 : $i] : ($true = (leibeq @ (f @ X0) @ X0)) & ($true = (p @ (^[Y0 : $i]: (Y0)))) & ((p @ f) != $true)),
% 1.47/1.29    inference(flattening,[status(thm)],[f9])).
% 1.47/1.29  thf(f9,plain,(
% 1.47/1.29    ((p @ f) != $true) & (! [X0 : $i] : ($true = (leibeq @ (f @ X0) @ X0)) & ($true = (p @ (^[Y0 : $i]: (Y0)))))),
% 1.47/1.29    inference(ennf_transformation,[status(thm)],[f8])).
% 1.47/1.29  thf(f8,plain,(
% 1.47/1.29    ~((! [X0 : $i] : ($true = (leibeq @ (f @ X0) @ X0)) & ($true = (p @ (^[Y0 : $i]: (Y0))))) => ((p @ f) = $true))),
% 1.47/1.29    inference(fool_elimination,[status(thm)],[f7])).
% 1.47/1.29  thf(f7,plain,(
% 1.47/1.29    ~((! [X0 : $i] : (leibeq @ (f @ X0) @ X0) & (p @ (^[X1 : $i] : (X1)))) => (p @ f))),
% 1.47/1.29    inference(rectify,[status(thm)],[f3])).
% 1.47/1.29  thf(f3,negated_conjecture,(
% 1.47/1.29    ~((! [X3 : $i] : (leibeq @ (f @ X3) @ X3) & (p @ (^[X3 : $i] : (X3)))) => (p @ f))),
% 1.47/1.29    inference(negated_conjecture,[status(cth)],[f2])).
% 1.47/1.29  thf(f2,conjecture,(
% 1.47/1.29    (! [X3 : $i] : (leibeq @ (f @ X3) @ X3) & (p @ (^[X3 : $i] : (X3)))) => (p @ f)),
% 1.47/1.29    file('/export/starexec/sandbox/tmp/tmp.WWBU5KDAzP/DTF2THF_4897.p',conj)).
% 1.47/1.29  thf(f23,plain,(
% 1.47/1.29    (sK2 != (f @ sK2))),
% 1.47/1.29    inference(beta_eta_normalization,[status(thm)],[f22])).
% 1.47/1.29  thf(f22,plain,(
% 1.47/1.29    ((f @ sK2) != ((^[Y0 : $i]: (Y0)) @ sK2))),
% 1.47/1.29    inference(negative_extensionality,[status(thm)],[f21])).
% 1.47/1.29  thf(f21,plain,(
% 1.47/1.29    (f != (^[Y0 : $i]: (Y0)))),
% 1.47/1.29    inference(trivial_inequality_removal,[status(thm)],[f20])).
% 1.47/1.29  thf(f20,plain,(
% 1.47/1.29    (f != (^[Y0 : $i]: (Y0))) | ($true != $true)),
% 1.47/1.29    inference(constrained_superposition,[status(thm)],[f12,f13])).
% 1.47/1.29  thf(f13,plain,(
% 1.47/1.29    ($true = (p @ (^[Y0 : $i]: (Y0))))),
% 1.47/1.29    inference(cnf_transformation,[status(thm)],[f10])).
% 1.47/1.29  thf(f12,plain,(
% 1.47/1.29    ((p @ f) != $true)),
% 1.47/1.29    inference(cnf_transformation,[status(thm)],[f10])).
% 1.47/1.29  % SZS output end Proof for DTF2THF_4897
% 1.47/1.29  % (5173)------------------------------
% 1.47/1.29  % (5173)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.29  % (5173)Termination reason: Refutation
% 1.47/1.29  
% 1.47/1.29  % (5173)Memory used [KB]: 5500
% 1.47/1.29  % (5173)Time elapsed: 0.004 s
% 1.47/1.29  % (5173)Instructions burned: 2 (million)
% 1.47/1.29  % (5173)------------------------------
% 1.47/1.29  % (5173)------------------------------
% 1.47/1.29  % (5172)Success in time 0.012 s
%------------------------------------------------------------------------------