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DT2H2X---1.9.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : SEU541^2 : TPTP v9.2.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n014.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 09:35:10 AM UTC 2026

% Result   : Theorem 1.64s 1.30s
% Output   : Refutation 1.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   26 (  17 unt;   0 typ;   0 def)
%            Number of atoms       :  124 (  33 equ;   0 cnn)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives :  102 (  11   ~;   2   |;   6   &;  64   @)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   7 usr;   6 con; 0-2 aty)
%                                         (   3  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   20 (   9   ^;   9   !;   2   ?;  20   :)

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

thf(func_def_2,type,
    prop2set: $o > $i ).

thf(func_def_5,type,
    set2prop: $i > $o ).

thf(func_def_15,type,
    ph2: 
      !>[X0: $tType] : X0 ).

thf(f27,plain,
    $false,
    inference(trivial_inequality_removal,[status(thm)],[f26]) ).

thf(f26,plain,
    ( ( $true = $false )
    | ( $true != $true ) ),
    inference(superposition,[status(thm)],[f22,f25]) ).

thf(f25,plain,
    ! [X1: $o] :
      ( ( ( in @ emptyset @ ( prop2set @ X1 ) )
        = $true )
      | ( $false = X1 ) ),
    inference(binary_proxy_clausification,[status(thm)],[f24]) ).

thf(f24,plain,
    ! [X1: $o] :
      ( ( X1
       => ( in @ emptyset @ ( prop2set @ X1 ) ) )
      = $true ),
    inference(beta_eta_normalization,[status(thm)],[f23]) ).

thf(f23,plain,
    ! [X1: $o] :
      ( $true
      = ( ^ [Y0: $o] :
            ( Y0
           => ( in @ emptyset @ ( prop2set @ Y0 ) ) )
        @ X1 ) ),
    inference(pi_clausification,[status(thm)],[f21]) ).

thf(f21,plain,
    ( $true
    = ( !! @ $o
      @ ^ [Y0: $o] :
          ( Y0
         => ( in @ emptyset @ ( prop2set @ Y0 ) ) ) ) ),
    inference(definition_unfolding,[status(thm)],[f19,f18]) ).

thf(f18,plain,
    prop2setI = $true,
    inference(cnf_transformation,[status(thm)],[f14]) ).

thf(f14,plain,
    ( ( prop2setI = $true )
    & ( $true = sK0 )
    & ( $true
     != ( set2prop @ ( prop2set @ sK0 ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f12,f13]) ).

thf(f13,plain,
    ( ? [X0: $o] :
        ( ( $true = X0 )
        & ( ( set2prop @ ( prop2set @ X0 ) )
         != $true ) )
   => ( ( $true = sK0 )
      & ( $true
       != ( set2prop @ ( prop2set @ sK0 ) ) ) ) ),
    introduced(definition,[],[choice_axiom]) ).

thf(f12,plain,
    ( ( prop2setI = $true )
    & ? [X0: $o] :
        ( ( $true = X0 )
        & ( ( set2prop @ ( prop2set @ X0 ) )
         != $true ) ) ),
    inference(ennf_transformation,[status(thm)],[f9]) ).

thf(f9,plain,
    ~ ( ( prop2setI = $true )
     => ! [X0: $o] :
          ( ( $true = X0 )
         => ( ( set2prop @ ( prop2set @ X0 ) )
            = $true ) ) ),
    inference(fool_elimination,[status(thm)],[f8]) ).

thf(f8,plain,
    ~ ( prop2setI
     => ! [X0: $o] :
          ( X0
         => ( set2prop @ ( prop2set @ X0 ) ) ) ),
    inference(rectify,[status(thm)],[f4]) ).

thf(f4,negated_conjecture,
    ~ ( prop2setI
     => ! [X0: $o] :
          ( X0
         => ( set2prop @ ( prop2set @ X0 ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f3]) ).

thf(f3,conjecture,
    ( prop2setI
   => ! [X0: $o] :
        ( X0
       => ( set2prop @ ( prop2set @ X0 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.CkM1UcKGC8/DTF2THF_16493.p',prop2set2propI) ).

thf(f19,plain,
    ( prop2setI
    = ( !! @ $o
      @ ^ [Y0: $o] :
          ( Y0
         => ( in @ emptyset @ ( prop2set @ Y0 ) ) ) ) ),
    inference(cnf_transformation,[status(thm)],[f7]) ).

thf(f7,plain,
    ( prop2setI
    = ( !! @ $o
      @ ^ [Y0: $o] :
          ( Y0
         => ( in @ emptyset @ ( prop2set @ Y0 ) ) ) ) ),
    inference(fool_elimination,[status(thm)],[f6]) ).

thf(f6,plain,
    ! [X0: $o] :
      ( ( X0
       => ( in @ emptyset @ ( prop2set @ X0 ) ) )
      = prop2setI ),
    inference(rectify,[status(thm)],[f1]) ).

thf(f1,axiom,
    ! [X0: $o] :
      ( ( X0
       => ( in @ emptyset @ ( prop2set @ X0 ) ) )
      = prop2setI ),
    file('/export/starexec/sandbox2/tmp/tmp.CkM1UcKGC8/DTF2THF_16493.p',prop2setI) ).

thf(f22,plain,
    ( ( in @ emptyset @ ( prop2set @ $true ) )
   != $true ),
    inference(beta_eta_normalization,[status(thm)],[f20]) ).

thf(f20,plain,
    ( $true
   != ( ^ [Y0: $i] : ( in @ emptyset @ Y0 )
      @ ( prop2set @ $true ) ) ),
    inference(definition_unfolding,[status(thm)],[f16,f15,f17]) ).

thf(f17,plain,
    $true = sK0,
    inference(cnf_transformation,[status(thm)],[f14]) ).

thf(f15,plain,
    ( set2prop
    = ( ^ [Y0: $i] : ( in @ emptyset @ Y0 ) ) ),
    inference(cnf_transformation,[status(thm)],[f11]) ).

thf(f11,plain,
    ( set2prop
    = ( ^ [Y0: $i] : ( in @ emptyset @ Y0 ) ) ),
    inference(fool_elimination,[status(thm)],[f10]) ).

thf(f10,plain,
    ( ( ^ [X0: $i] : ( in @ emptyset @ X0 ) )
    = set2prop ),
    inference(rectify,[status(thm)],[f2]) ).

thf(f2,axiom,
    ( ( ^ [X1: $i] : ( in @ emptyset @ X1 ) )
    = set2prop ),
    file('/export/starexec/sandbox2/tmp/tmp.CkM1UcKGC8/DTF2THF_16493.p',set2prop) ).

thf(f16,plain,
    ( $true
   != ( set2prop @ ( prop2set @ sK0 ) ) ),
    inference(cnf_transformation,[status(thm)],[f14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU541^2 : TPTP v9.2.1. Released v3.7.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.14/0.33  % Computer : n014.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue Feb 24 12:26:27 EST 2026
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  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     : SEU541^2 : TPTP v9.2.1. Released v3.7.0.
% 0.31/0.46  % Domain   : Set Theory
% 0.31/0.46  % Problem  : Preliminary Notions - Dependent Connective Laws
% 0.31/0.46  % Version  : Especial > Reduced > Especial.
% 0.31/0.46  % English  : (! phi:o.phi -> set2prop (prop2set phi))
% 0.31/0.46  
% 0.31/0.46  % Refs     : [Bro08] Brown (2008), Email to G. Sutcliffe
% 0.31/0.46  % Source   : [Bro08]
% 0.31/0.46  % Names    : ZFC043l [Bro08]
% 0.31/0.46  
% 0.31/0.46  % Status   : Theorem
% 0.31/0.46  % Rating   : 0.00 v8.2.0, 0.08 v8.1.0, 0.00 v6.0.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v5.3.0, 0.40 v5.2.0, 0.20 v4.1.0, 0.00 v3.7.0
% 0.31/0.46  % Syntax   : Number of formulae    :    8 (   2 unt;   5 typ;   2 def)
% 0.31/0.46  %            Number of atoms       :    8 (   2 equ;   0 cnn)
% 0.31/0.46  %            Maximal formula atoms :    2 (   2 avg)
% 0.31/0.46  %            Number of connectives :   10 (   0   ~;   0   |;   0   &;   7   @)
% 0.31/0.46  %                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
% 0.31/0.46  %            Maximal formula depth :    6 (   3 avg)
% 0.31/0.46  %            Number of types       :    2 (   0 usr)
% 0.31/0.46  %            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
% 0.31/0.46  %            Number of symbols     :    6 (   5 usr;   2 con; 0-2 aty)
% 0.31/0.46  %            Number of variables   :    3 (   1   ^;   2   !;   0   ?;   3   :)
% 0.31/0.46  % SPC      : TH0_THM_EQU_NAR
% 0.31/0.46  
% 0.31/0.46  % Comments : http://mathgate.info/detsetitem.php?id=456
% 0.31/0.46  %------------------------------------------------------------------------------
% 0.31/0.46  thf(in_type,type,
% 0.31/0.46      in: $i > $i > $o ).
% 0.31/0.46  
% 0.31/0.46  thf(emptyset_type,type,
% 0.31/0.46      emptyset: $i ).
% 0.31/0.46  
% 0.31/0.46  thf(prop2set_type,type,
% 0.31/0.46      prop2set: $o > $i ).
% 0.31/0.46  
% 0.31/0.46  thf(prop2setI_type,type,
% 0.31/0.46      prop2setI: $o ).
% 0.31/0.46  
% 0.31/0.46  thf(prop2setI,definition,
% 0.31/0.46      ( prop2setI
% 0.31/0.46      = ( ! [Xphi: $o] :
% 0.31/0.46            ( Xphi
% 0.31/0.46           => ( in @ emptyset @ ( prop2set @ Xphi ) ) ) ) ) ).
% 0.31/0.46  
% 0.31/0.46  thf(set2prop_type,type,
% 0.31/0.46      set2prop: $i > $o ).
% 0.31/0.46  
% 0.31/0.46  thf(set2prop,definition,
% 0.31/0.46      ( set2prop
% 0.31/0.46      = ( ^ [A: $i] : ( in @ emptyset @ A ) ) ) ).
% 0.31/0.46  
% 0.31/0.46  thf(prop2set2propI,conjecture,
% 0.31/0.46      ( prop2setI
% 0.31/0.46     => ! [Xphi: $o] :
% 0.31/0.46          ( Xphi
% 0.31/0.46         => ( set2prop @ ( prop2set @ Xphi ) ) ) ) ).
% 0.31/0.46  
% 0.31/0.46  %------------------------------------------------------------------------------
% 0.31/0.46  ------------------------
% 1.46/1.27  ---- Embedded in THF ---
% 1.46/1.28  %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.46/1.28  %%% Generated on Tue Feb 24 12:26:28 EST 2026
% 1.46/1.28  %%% using '$$dhol' embedding, version 1.3.0.
% 1.46/1.28  %%% Logic specification used:
% 1.46/1.28  %%% thf(spec, logic, $$dhol).
% 1.46/1.28  
% 1.46/1.28  % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.CkM1UcKGC8/DTF2DTF16493.p
% See solution above
% 1.46/1.28  ------------------------
% 1.46/1.29  ---- Cleaned THF ---
% 1.46/1.29  thf(in_type,type,
% 1.46/1.29      in: $i > $i > $o ).
% 1.46/1.29  
% 1.46/1.29  thf(emptyset_type,type,
% 1.46/1.29      emptyset: $i ).
% 1.46/1.29  
% 1.46/1.29  thf(prop2set_type,type,
% 1.46/1.29      prop2set: $o > $i ).
% 1.46/1.29  
% 1.46/1.29  thf(prop2setI_type,type,
% 1.46/1.29      prop2setI: $o ).
% 1.46/1.29  
% 1.46/1.29  thf(prop2setI,definition,
% 1.46/1.29      ( prop2setI
% 1.46/1.29      = ( ! [Xphi: $o] :
% 1.46/1.29            ( Xphi
% 1.46/1.29           => ( in @ emptyset @ ( prop2set @ Xphi ) ) ) ) ) ).
% 1.46/1.29  
% 1.46/1.29  thf(set2prop_type,type,
% 1.46/1.29      set2prop: $i > $o ).
% 1.46/1.29  
% 1.46/1.29  thf(set2prop,definition,
% 1.46/1.29      ( set2prop
% 1.46/1.29      = ( ^ [A: $i] : ( in @ emptyset @ A ) ) ) ).
% 1.46/1.29  
% 1.46/1.29  thf(prop2set2propI,conjecture,
% 1.46/1.29      ( prop2setI
% 1.46/1.29     => ! [Xphi: $o] :
% 1.46/1.29          ( Xphi
% 1.46/1.29         => ( set2prop @ ( prop2set @ Xphi ) ) ) ) ).
% 1.46/1.29  ------------------------
% 1.64/1.30  % (16729)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_16493 for (2999ds/2Mi)
% 1.64/1.30  % (16729)Instruction limit reached!
% 1.64/1.30  % (16729)------------------------------
% 1.64/1.30  % (16729)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.30  % (16729)Termination reason: Unknown
% 1.64/1.30  % (16729)Termination phase: Saturation
% 1.64/1.30  
% 1.64/1.30  % (16729)Memory used [KB]: 5373
% 1.64/1.30  % (16729)Time elapsed: 0.002 s
% 1.64/1.30  % (16729)Instructions burned: 2 (million)
% 1.64/1.30  % (16729)------------------------------
% 1.64/1.30  % (16729)------------------------------
% 1.64/1.30  % (16726)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_16493 for (2999ds/183Mi)
% 1.64/1.30  % (16728)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_16493 for (2999ds/27Mi)
% 1.64/1.30  % (16726)First to succeed.
% 1.64/1.30  % (16728)Also succeeded, but the first one will report.
% 1.64/1.30  % (16726)Refutation found. Thanks to Tanya!
% 1.64/1.30  % SZS status Theorem for DTF2THF_16493
% 1.64/1.30  % SZS output start Proof for DTF2THF_16493
% 1.64/1.30  thf(func_def_0, type, in: $i > $i > $o).
% 1.64/1.30  thf(func_def_2, type, prop2set: $o > $i).
% 1.64/1.30  thf(func_def_5, type, set2prop: $i > $o).
% 1.64/1.30  thf(func_def_15, type, ph2: !>[X0: $tType]:(X0)).
% 1.64/1.30  thf(f27,plain,(
% 1.64/1.30    $false),
% 1.64/1.30    inference(trivial_inequality_removal,[status(thm)],[f26])).
% 1.64/1.30  thf(f26,plain,(
% 1.64/1.30    ($true = $false) | ($true != $true)),
% 1.64/1.30    inference(superposition,[status(thm)],[f22,f25])).
% 1.64/1.30  thf(f25,plain,(
% 1.64/1.30    ( ! [X1 : $o] : (((in @ emptyset @ (prop2set @ X1)) = $true) | ($false = X1)) )),
% 1.64/1.30    inference(binary_proxy_clausification,[status(thm)],[f24])).
% 1.64/1.30  thf(f24,plain,(
% 1.64/1.30    ( ! [X1 : $o] : (((X1 => (in @ emptyset @ (prop2set @ X1))) = $true)) )),
% 1.64/1.30    inference(beta_eta_normalization,[status(thm)],[f23])).
% 1.64/1.30  thf(f23,plain,(
% 1.64/1.30    ( ! [X1 : $o] : (($true = ((^[Y0 : $o]: (Y0 => (in @ emptyset @ (prop2set @ Y0)))) @ X1))) )),
% 1.64/1.30    inference(pi_clausification,[status(thm)],[f21])).
% 1.64/1.30  thf(f21,plain,(
% 1.64/1.30    ($true = (!! @ $o @ (^[Y0 : $o]: (Y0 => (in @ emptyset @ (prop2set @ Y0))))))),
% 1.64/1.30    inference(definition_unfolding,[status(thm)],[f19,f18])).
% 1.64/1.30  thf(f18,plain,(
% 1.64/1.30    (prop2setI = $true)),
% 1.64/1.30    inference(cnf_transformation,[status(thm)],[f14])).
% 1.64/1.30  thf(f14,plain,(
% 1.64/1.30    (prop2setI = $true) & (($true = sK0) & ($true != (set2prop @ (prop2set @ sK0))))),
% 1.64/1.30    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f12,f13])).
% 1.64/1.30  thf(f13,plain,(
% 1.64/1.30    ? [X0 : $o] : (($true = X0) & ((set2prop @ (prop2set @ X0)) != $true)) => (($true = sK0) & ($true != (set2prop @ (prop2set @ sK0))))),
% 1.64/1.30    introduced(definition,[],[choice_axiom])).
% 1.64/1.30  thf(f12,plain,(
% 1.64/1.30    (prop2setI = $true) & ? [X0 : $o] : (($true = X0) & ((set2prop @ (prop2set @ X0)) != $true))),
% 1.64/1.30    inference(ennf_transformation,[status(thm)],[f9])).
% 1.64/1.30  thf(f9,plain,(
% 1.64/1.30    ~((prop2setI = $true) => ! [X0 : $o] : (($true = X0) => ((set2prop @ (prop2set @ X0)) = $true)))),
% 1.64/1.30    inference(fool_elimination,[status(thm)],[f8])).
% 1.64/1.30  thf(f8,plain,(
% 1.64/1.30    ~(prop2setI => ! [X0 : $o] : (X0 => (set2prop @ (prop2set @ X0))))),
% 1.64/1.30    inference(rectify,[status(thm)],[f4])).
% 1.64/1.30  thf(f4,negated_conjecture,(
% 1.64/1.30    ~(prop2setI => ! [X0 : $o] : (X0 => (set2prop @ (prop2set @ X0))))),
% 1.64/1.30    inference(negated_conjecture,[status(cth)],[f3])).
% 1.64/1.30  thf(f3,conjecture,(
% 1.64/1.30    prop2setI => ! [X0 : $o] : (X0 => (set2prop @ (prop2set @ X0)))),
% 1.64/1.30    file('/export/starexec/sandbox2/tmp/tmp.CkM1UcKGC8/DTF2THF_16493.p',prop2set2propI)).
% 1.64/1.30  thf(f19,plain,(
% 1.64/1.30    (prop2setI = (!! @ $o @ (^[Y0 : $o]: (Y0 => (in @ emptyset @ (prop2set @ Y0))))))),
% 1.64/1.30    inference(cnf_transformation,[status(thm)],[f7])).
% 1.64/1.30  thf(f7,plain,(
% 1.64/1.30    (prop2setI = (!! @ $o @ (^[Y0 : $o]: (Y0 => (in @ emptyset @ (prop2set @ Y0))))))),
% 1.64/1.30    inference(fool_elimination,[status(thm)],[f6])).
% 1.64/1.30  thf(f6,plain,(
% 1.64/1.30    (! [X0 : $o] : (X0 => (in @ emptyset @ (prop2set @ X0))) = prop2setI)),
% 1.64/1.30    inference(rectify,[status(thm)],[f1])).
% 1.64/1.30  thf(f1,axiom,(
% 1.64/1.30    (! [X0 : $o] : (X0 => (in @ emptyset @ (prop2set @ X0))) = prop2setI)),
% 1.64/1.30    file('/export/starexec/sandbox2/tmp/tmp.CkM1UcKGC8/DTF2THF_16493.p',prop2setI)).
% 1.64/1.30  thf(f22,plain,(
% 1.64/1.30    ((in @ emptyset @ (prop2set @ $true)) != $true)),
% 1.64/1.30    inference(beta_eta_normalization,[status(thm)],[f20])).
% 1.64/1.30  thf(f20,plain,(
% 1.64/1.30    ($true != ((^[Y0 : $i]: (in @ emptyset @ Y0)) @ (prop2set @ $true)))),
% 1.64/1.30    inference(definition_unfolding,[status(thm)],[f16,f15,f17])).
% 1.64/1.30  thf(f17,plain,(
% 1.64/1.30    ($true = sK0)),
% 1.64/1.30    inference(cnf_transformation,[status(thm)],[f14])).
% 1.64/1.30  thf(f15,plain,(
% 1.64/1.30    (set2prop = (^[Y0 : $i]: (in @ emptyset @ Y0)))),
% 1.64/1.30    inference(cnf_transformation,[status(thm)],[f11])).
% 1.64/1.30  thf(f11,plain,(
% 1.64/1.30    (set2prop = (^[Y0 : $i]: (in @ emptyset @ Y0)))),
% 1.64/1.30    inference(fool_elimination,[status(thm)],[f10])).
% 1.64/1.30  thf(f10,plain,(
% 1.64/1.30    ((^[X0 : $i] : (in @ emptyset @ X0)) = set2prop)),
% 1.64/1.30    inference(rectify,[status(thm)],[f2])).
% 1.64/1.30  thf(f2,axiom,(
% 1.64/1.30    ((^[X1 : $i] : (in @ emptyset @ X1)) = set2prop)),
% 1.64/1.30    file('/export/starexec/sandbox2/tmp/tmp.CkM1UcKGC8/DTF2THF_16493.p',set2prop)).
% 1.64/1.30  thf(f16,plain,(
% 1.64/1.30    ($true != (set2prop @ (prop2set @ sK0)))),
% 1.64/1.30    inference(cnf_transformation,[status(thm)],[f14])).
% 1.64/1.30  % SZS output end Proof for DTF2THF_16493
% 1.64/1.30  % (16726)------------------------------
% 1.64/1.30  % (16726)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.30  % (16726)Termination reason: Refutation
% 1.64/1.30  
% 1.64/1.30  % (16726)Memory used [KB]: 5500
% 1.64/1.30  % (16726)Time elapsed: 0.002 s
% 1.64/1.30  % (16726)Instructions burned: 2 (million)
% 1.64/1.30  % (16726)------------------------------
% 1.64/1.30  % (16726)------------------------------
% 1.64/1.30  % (16725)Success in time 0.012 s
%------------------------------------------------------------------------------