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DT2H2X---1.9.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : NUM802^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n016.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 09:24:47 AM UTC 2026

% Result   : Theorem 1.48s 1.28s
% Output   : Refutation 1.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   17 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :  144 (  44 equ;   1 cnn)
%            Maximal formula atoms :    7 (   8 avg)
%            Number of connectives :  165 (  31   ~;  10   |;  13   &;  95   @)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   41 (   0   ^;  32   !;   9   ?;  41   :)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_1,type,
    absval: $i > $i ).

thf(func_def_3,type,
    c_less_: $i > $i > $o ).

thf(func_def_7,type,
    sK0: ( $i > $o ) > $i ).

thf(func_def_10,type,
    ph2: 
      !>[X0: $tType] : X0 ).

thf(f27,plain,
    $false,
    inference(subsumption_resolution,[status(thm)],[f26,f13]) ).

thf(f13,plain,
    ( ( c_less_ @ c_2 @ c0 )
    = $true ),
    inference(cnf_transformation,[status(thm)],[f11]) ).

thf(f11,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( c_less_ @ X0 @ c0 )
         != $true )
        | ( ( absval @ X1 )
         != X0 ) )
    & ( ( c_less_ @ c_2 @ c0 )
      = $true )
    & ! [X2: $i > $o] :
        ( ( ( X2 @ ( absval @ ( sK0 @ X2 ) ) )
          = $true )
        | ( ( X2 @ c_2 )
         != $true ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f9,f10]) ).

thf(f10,plain,
    ! [X2: $i > $o] :
      ( ? [X3: $i] :
          ( ( X2 @ ( absval @ X3 ) )
          = $true )
     => ( ( X2 @ ( absval @ ( sK0 @ X2 ) ) )
        = $true ) ),
    introduced(definition,[],[choice_axiom]) ).

thf(f9,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( c_less_ @ X0 @ c0 )
         != $true )
        | ( ( absval @ X1 )
         != X0 ) )
    & ( ( c_less_ @ c_2 @ c0 )
      = $true )
    & ! [X2: $i > $o] :
        ( ? [X3: $i] :
            ( ( X2 @ ( absval @ X3 ) )
            = $true )
        | ( ( X2 @ c_2 )
         != $true ) ) ),
    inference(rectify,[status(thm)],[f8]) ).

thf(f8,plain,
    ( ! [X1: $i,X0: $i] :
        ( ( ( c_less_ @ X1 @ c0 )
         != $true )
        | ( ( absval @ X0 )
         != X1 ) )
    & ( ( c_less_ @ c_2 @ c0 )
      = $true )
    & ! [X2: $i > $o] :
        ( ? [X3: $i] :
            ( ( X2 @ ( absval @ X3 ) )
            = $true )
        | ( ( X2 @ c_2 )
         != $true ) ) ),
    inference(flattening,[status(thm)],[f7]) ).

thf(f7,plain,
    ( ! [X2: $i > $o] :
        ( ? [X3: $i] :
            ( ( X2 @ ( absval @ X3 ) )
            = $true )
        | ( ( X2 @ c_2 )
         != $true ) )
    & ! [X1: $i,X0: $i] :
        ( ( ( c_less_ @ X1 @ c0 )
         != $true )
        | ( ( absval @ X0 )
         != X1 ) )
    & ( ( c_less_ @ c_2 @ c0 )
      = $true ) ),
    inference(ennf_transformation,[status(thm)],[f6]) ).

thf(f6,plain,
    ~ ( ( ( c_less_ @ c_2 @ c0 )
        = $true )
     => ( ! [X1: $i,X0: $i] :
            ( ( ( c_less_ @ X1 @ c0 )
              = $true )
           => ( ( absval @ X0 )
             != X1 ) )
       => ? [X2: $i > $o] :
            ( ! [X3: $i] :
                ( ( X2 @ ( absval @ X3 ) )
               != $true )
            & ( ( X2 @ c_2 )
              = $true ) ) ) ),
    inference(flattening,[status(thm)],[f5]) ).

thf(f5,plain,
    ~ ( ( ( c_less_ @ c_2 @ c0 )
        = $true )
     => ( ! [X1: $i,X0: $i] :
            ( ( ( c_less_ @ X1 @ c0 )
              = $true )
           => ( ( absval @ X0 )
             != X1 ) )
       => ? [X2: $i > $o] :
            ( ( ( X2 @ c_2 )
              = $true )
            & ! [X3: $i] :
                ( ( X2 @ ( absval @ X3 ) )
               != $true ) ) ) ),
    inference(fool_elimination,[status(thm)],[f4]) ).

thf(f4,plain,
    ~ ( ( c_less_ @ c_2 @ c0 )
     => ( ! [X0: $i,X1: $i] :
            ( ( c_less_ @ X1 @ c0 )
           => ( ( absval @ X0 )
             != X1 ) )
       => ? [X2: $i > $o] :
            ( ( X2 @ c_2 )
            & ! [X3: $i] :
                ~ ( X2 @ ( absval @ X3 ) ) ) ) ),
    inference(rectify,[status(thm)],[f2]) ).

thf(f2,negated_conjecture,
    ~ ( ( c_less_ @ c_2 @ c0 )
     => ( ! [X1: $i,X0: $i] :
            ( ( c_less_ @ X0 @ c0 )
           => ( ( absval @ X1 )
             != X0 ) )
       => ? [X2: $i > $o] :
            ( ( X2 @ c_2 )
            & ! [X3: $i] :
                ~ ( X2 @ ( absval @ X3 ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

thf(f1,conjecture,
    ( ( c_less_ @ c_2 @ c0 )
   => ( ! [X1: $i,X0: $i] :
          ( ( c_less_ @ X0 @ c0 )
         => ( ( absval @ X1 )
           != X0 ) )
     => ? [X2: $i > $o] :
          ( ( X2 @ c_2 )
          & ! [X3: $i] :
              ~ ( X2 @ ( absval @ X3 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.w1R1fAjAre/DTF2THF_18772.p',cBLEDSOE_FENG_8) ).

thf(f26,plain,
    ( ( c_less_ @ c_2 @ c0 )
   != $true ),
    inference(superposition,[status(thm)],[f15,f16]) ).

thf(f16,plain,
    ( c_2
    = ( absval @ ( sK0 @ ( (=) @ c_2 ) ) ) ),
    inference(leibniz_equality_elimination,[status(thm)],[f12]) ).

thf(f12,plain,
    ! [X2: $i > $o] :
      ( ( ( X2 @ ( absval @ ( sK0 @ X2 ) ) )
        = $true )
      | ( ( X2 @ c_2 )
       != $true ) ),
    inference(cnf_transformation,[status(thm)],[f11]) ).

thf(f15,plain,
    ! [X1: $i] :
      ( ( c_less_ @ ( absval @ X1 ) @ c0 )
     != $true ),
    inference(equality_resolution,[status(thm)],[f14]) ).

thf(f14,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( c_less_ @ X0 @ c0 )
       != $true )
      | ( ( absval @ X1 )
       != X0 ) ),
    inference(cnf_transformation,[status(thm)],[f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM802^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.15/0.34  % Computer : n016.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 11:15:06 EST 2026
% 0.15/0.34  % CPUTime  : 
% 0.15/0.34  Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.30/0.46  ---- Original DTF file ---
% 0.30/0.46  thf(spec,logic,$$dhol).
% 0.30/0.46  %------------------------------------------------------------------------------
% 0.30/0.46  % File     : NUM802^5 : TPTP v9.2.1. Released v4.0.0.
% 0.30/0.46  % Domain   : Number Theory
% 0.30/0.46  % Problem  : TPS problem BLEDSOE-FENG-8
% 0.30/0.46  % Version  : Especial.
% 0.30/0.46  % English  : There is a set containing no nonnegative numbers and containing 
% 0.30/0.46  %            -2.
% 0.30/0.46  
% 0.30/0.46  % Refs     : [BF93]  Bledsoe & Feng (1993), SET-VAR
% 0.30/0.46  %          : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.30/0.46  % Source   : [Bro09]
% 0.30/0.46  % Names    : tps_0143 [Bro09]
% 0.30/0.46  %          : BLEDSOE-FENG-8 [TPS]
% 0.30/0.46  %          : Example 8 [BF93]
% 0.30/0.46  
% 0.30/0.46  % Status   : Theorem
% 0.30/0.46  % Rating   : 0.33 v9.1.0, 0.25 v9.0.0, 0.30 v8.2.0, 0.38 v8.1.0, 0.45 v7.5.0, 0.14 v7.4.0, 0.33 v7.2.0, 0.12 v7.1.0, 0.25 v7.0.0, 0.14 v6.4.0, 0.17 v6.3.0, 0.20 v6.2.0, 0.14 v6.1.0, 0.00 v6.0.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.40 v5.2.0, 0.20 v5.1.0, 0.40 v5.0.0, 0.20 v4.1.0, 0.00 v4.0.0
% 0.30/0.46  % Syntax   : Number of formulae    :    5 (   0 unt;   4 typ;   0 def)
% 0.30/0.46  %            Number of atoms       :    3 (   1 equ;   0 cnn)
% 0.30/0.46  %            Maximal formula atoms :    3 (   3 avg)
% 0.30/0.46  %            Number of connectives :   14 (   2   ~;   0   |;   1   &;   8   @)
% 0.30/0.46  %                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
% 0.30/0.46  %            Maximal formula depth :    9 (   9 avg)
% 0.30/0.46  %            Number of types       :    2 (   0 usr)
% 0.30/0.46  %            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
% 0.30/0.46  %            Number of symbols     :    5 (   4 usr;   2 con; 0-2 aty)
% 0.30/0.46  %            Number of variables   :    4 (   0   ^;   3   !;   1   ?;   4   :)
% 0.30/0.46  % SPC      : TH0_THM_EQU_NAR
% 0.30/0.46  
% 0.30/0.46  % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.30/0.46  %            project in the Department of Mathematical Sciences at Carnegie
% 0.30/0.46  %            Mellon University. Distributed under the Creative Commons copyleft
% 0.30/0.46  %            license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.30/0.46  %          : 
% 0.30/0.46  %------------------------------------------------------------------------------
% 0.30/0.46  thf(c_2,type,
% 0.30/0.46      c_2: $i ).
% 0.30/0.46  
% 0.30/0.46  thf(absval,type,
% 0.30/0.46      absval: $i > $i ).
% 0.30/0.46  
% 0.30/0.46  thf(c0,type,
% 0.30/0.46      c0: $i ).
% 0.30/0.46  
% 0.30/0.46  thf(c_less_,type,
% 0.30/0.46      c_less_: $i > $i > $o ).
% 0.30/0.46  
% 0.30/0.46  thf(cBLEDSOE_FENG_8,conjecture,
% 0.30/0.46      ( ( c_less_ @ c_2 @ c0 )
% 0.30/0.46     => ( ! [Xu: $i,Xv: $i] :
% 0.30/0.46            ( ( c_less_ @ Xu @ c0 )
% 0.30/0.46           => ( Xu
% 0.30/0.46             != ( absval @ Xv ) ) )
% 0.30/0.46       => ? [A: $i > $o] :
% 0.30/0.46            ( ! [Xy: $i] :
% 0.30/0.46                ~ ( A @ ( absval @ Xy ) )
% 0.30/0.46            & ( A @ c_2 ) ) ) ) ).
% 0.30/0.46  
% 0.30/0.46  %------------------------------------------------------------------------------
% 0.30/0.46  ------------------------
% 1.48/1.25  ---- Embedded in THF ---
% 1.48/1.25  %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.48/1.25  %%% Generated on Tue Feb 24 11:15:07 EST 2026
% 1.48/1.25  %%% using '$$dhol' embedding, version 1.3.0.
% 1.48/1.25  %%% Logic specification used:
% 1.48/1.25  %%% thf(spec, logic, $$dhol).
% 1.48/1.25  
% 1.48/1.25  % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.w1R1fAjAre/DTF2DTF18772.p
% See solution above
% 1.48/1.25  ------------------------
% 1.48/1.27  ---- Cleaned THF ---
% 1.48/1.27  thf(c_2,type,
% 1.48/1.27      c_2: $i ).
% 1.48/1.27  
% 1.48/1.27  thf(absval,type,
% 1.48/1.27      absval: $i > $i ).
% 1.48/1.27  
% 1.48/1.27  thf(c0,type,
% 1.48/1.27      c0: $i ).
% 1.48/1.27  
% 1.48/1.27  thf(c_less_,type,
% 1.48/1.27      c_less_: $i > $i > $o ).
% 1.48/1.27  
% 1.48/1.27  thf(cBLEDSOE_FENG_8,conjecture,
% 1.48/1.27      ( ( c_less_ @ c_2 @ c0 )
% 1.48/1.27     => ( ! [Xu: $i,Xv: $i] :
% 1.48/1.27            ( ( c_less_ @ Xu @ c0 )
% 1.48/1.27           => ( Xu
% 1.48/1.27             != ( absval @ Xv ) ) )
% 1.48/1.27       => ? [A: $i > $o] :
% 1.48/1.27            ( ! [Xy: $i] :
% 1.48/1.27                ~ ( A @ ( absval @ Xy ) )
% 1.48/1.27            & ( A @ c_2 ) ) ) ) ).
% 1.48/1.27  ------------------------
% 1.48/1.28  % (19050)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_18772 for (2999ds/275Mi)
% 1.48/1.28  % (19049)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_18772 for (2999ds/2Mi)
% 1.48/1.28  % (19050)First to succeed.
% 1.48/1.28  % (19049)Instruction limit reached!
% 1.48/1.28  % (19049)------------------------------
% 1.48/1.28  % (19049)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.48/1.28  % (19049)Termination reason: Unknown
% 1.48/1.28  % (19049)Termination phase: Saturation
% 1.48/1.28  
% 1.48/1.28  % (19049)Memory used [KB]: 5500
% 1.48/1.28  % (19049)Time elapsed: 0.002 s
% 1.48/1.28  % (19049)Instructions burned: 2 (million)
% 1.48/1.28  % (19049)------------------------------
% 1.48/1.28  % (19049)------------------------------
% 1.48/1.28  % (19050)Refutation found. Thanks to Tanya!
% 1.48/1.28  % SZS status Theorem for DTF2THF_18772
% 1.48/1.28  % SZS output start Proof for DTF2THF_18772
% 1.48/1.28  thf(func_def_1, type, absval: $i > $i).
% 1.48/1.28  thf(func_def_3, type, c_less_: $i > $i > $o).
% 1.48/1.28  thf(func_def_7, type, sK0: ($i > $o) > $i).
% 1.48/1.28  thf(func_def_10, type, ph2: !>[X0: $tType]:(X0)).
% 1.48/1.28  thf(f27,plain,(
% 1.48/1.28    $false),
% 1.48/1.28    inference(subsumption_resolution,[status(thm)],[f26,f13])).
% 1.48/1.28  thf(f13,plain,(
% 1.48/1.28    ((c_less_ @ c_2 @ c0) = $true)),
% 1.48/1.28    inference(cnf_transformation,[status(thm)],[f11])).
% 1.48/1.28  thf(f11,plain,(
% 1.48/1.28    ! [X0 : $i,X1 : $i] : (((c_less_ @ X0 @ c0) != $true) | ((absval @ X1) != X0)) & ((c_less_ @ c_2 @ c0) = $true) & ! [X2 : $i > $o] : (((X2 @ (absval @ (sK0 @ X2))) = $true) | ((X2 @ c_2) != $true))),
% 1.48/1.28    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f9,f10])).
% 1.48/1.28  thf(f10,plain,(
% 1.48/1.28    ! [X2 : $i > $o] : (? [X3 : $i] : ((X2 @ (absval @ X3)) = $true) => ((X2 @ (absval @ (sK0 @ X2))) = $true))),
% 1.48/1.28    introduced(definition,[],[choice_axiom])).
% 1.48/1.28  thf(f9,plain,(
% 1.48/1.28    ! [X0 : $i,X1 : $i] : (((c_less_ @ X0 @ c0) != $true) | ((absval @ X1) != X0)) & ((c_less_ @ c_2 @ c0) = $true) & ! [X2 : $i > $o] : (? [X3 : $i] : ((X2 @ (absval @ X3)) = $true) | ((X2 @ c_2) != $true))),
% 1.48/1.28    inference(rectify,[status(thm)],[f8])).
% 1.48/1.28  thf(f8,plain,(
% 1.48/1.28    ! [X1 : $i,X0 : $i] : (((c_less_ @ X1 @ c0) != $true) | ((absval @ X0) != X1)) & ((c_less_ @ c_2 @ c0) = $true) & ! [X2 : $i > $o] : (? [X3 : $i] : ((X2 @ (absval @ X3)) = $true) | ((X2 @ c_2) != $true))),
% 1.48/1.28    inference(flattening,[status(thm)],[f7])).
% 1.48/1.28  thf(f7,plain,(
% 1.48/1.28    (! [X2 : $i > $o] : (? [X3 : $i] : ((X2 @ (absval @ X3)) = $true) | ((X2 @ c_2) != $true)) & ! [X1 : $i,X0 : $i] : (((c_less_ @ X1 @ c0) != $true) | ((absval @ X0) != X1))) & ((c_less_ @ c_2 @ c0) = $true)),
% 1.48/1.28    inference(ennf_transformation,[status(thm)],[f6])).
% 1.48/1.28  thf(f6,plain,(
% 1.48/1.28    ~(((c_less_ @ c_2 @ c0) = $true) => (! [X1 : $i,X0 : $i] : (((c_less_ @ X1 @ c0) = $true) => ((absval @ X0) != X1)) => ? [X2 : $i > $o] : (! [X3 : $i] : ((X2 @ (absval @ X3)) != $true) & ((X2 @ c_2) = $true))))),
% 1.48/1.28    inference(flattening,[status(thm)],[f5])).
% 1.48/1.28  thf(f5,plain,(
% 1.48/1.28    ~(((c_less_ @ c_2 @ c0) = $true) => (! [X1 : $i,X0 : $i] : (((c_less_ @ X1 @ c0) = $true) => ((absval @ X0) != X1)) => ? [X2 : $i > $o] : (((X2 @ c_2) = $true) & ! [X3 : $i] : ~((X2 @ (absval @ X3)) = $true))))),
% 1.48/1.28    inference(fool_elimination,[status(thm)],[f4])).
% 1.48/1.28  thf(f4,plain,(
% 1.48/1.28    ~((c_less_ @ c_2 @ c0) => (! [X0 : $i,X1 : $i] : ((c_less_ @ X1 @ c0) => ((absval @ X0) != X1)) => ? [X2 : $i > $o] : ((X2 @ c_2) & ! [X3 : $i] : ~(X2 @ (absval @ X3)))))),
% 1.48/1.28    inference(rectify,[status(thm)],[f2])).
% 1.48/1.28  thf(f2,negated_conjecture,(
% 1.48/1.28    ~((c_less_ @ c_2 @ c0) => (! [X1 : $i,X0 : $i] : ((c_less_ @ X0 @ c0) => ((absval @ X1) != X0)) => ? [X2 : $i > $o] : ((X2 @ c_2) & ! [X3 : $i] : ~(X2 @ (absval @ X3)))))),
% 1.48/1.28    inference(negated_conjecture,[status(cth)],[f1])).
% 1.48/1.28  thf(f1,conjecture,(
% 1.48/1.28    (c_less_ @ c_2 @ c0) => (! [X1 : $i,X0 : $i] : ((c_less_ @ X0 @ c0) => ((absval @ X1) != X0)) => ? [X2 : $i > $o] : ((X2 @ c_2) & ! [X3 : $i] : ~(X2 @ (absval @ X3))))),
% 1.48/1.28    file('/export/starexec/sandbox/tmp/tmp.w1R1fAjAre/DTF2THF_18772.p',cBLEDSOE_FENG_8)).
% 1.48/1.28  thf(f26,plain,(
% 1.48/1.28    ((c_less_ @ c_2 @ c0) != $true)),
% 1.48/1.28    inference(superposition,[status(thm)],[f15,f16])).
% 1.48/1.28  thf(f16,plain,(
% 1.48/1.28    (c_2 = (absval @ (sK0 @ (= @ c_2))))),
% 1.48/1.28    inference(leibniz_equality_elimination,[status(thm)],[f12])).
% 1.48/1.28  thf(f12,plain,(
% 1.48/1.28    ( ! [X2 : $i > $o] : (((X2 @ (absval @ (sK0 @ X2))) = $true) | ((X2 @ c_2) != $true)) )),
% 1.48/1.28    inference(cnf_transformation,[status(thm)],[f11])).
% 1.48/1.28  thf(f15,plain,(
% 1.48/1.28    ( ! [X1 : $i] : (((c_less_ @ (absval @ X1) @ c0) != $true)) )),
% 1.48/1.28    inference(equality_resolution,[status(thm)],[f14])).
% 1.48/1.28  thf(f14,plain,(
% 1.48/1.28    ( ! [X0 : $i,X1 : $i] : (((c_less_ @ X0 @ c0) != $true) | ((absval @ X1) != X0)) )),
% 1.48/1.28    inference(cnf_transformation,[status(thm)],[f11])).
% 1.48/1.28  % SZS output end Proof for DTF2THF_18772
% 1.48/1.28  % (19050)------------------------------
% 1.48/1.28  % (19050)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.48/1.28  % (19050)Termination reason: Refutation
% 1.48/1.28  
% 1.48/1.28  % (19050)Memory used [KB]: 5500
% 1.48/1.28  % (19050)Time elapsed: 0.003 s
% 1.48/1.28  % (19050)Instructions burned: 2 (million)
% 1.48/1.28  % (19050)------------------------------
% 1.48/1.28  % (19050)------------------------------
% 1.48/1.28  % (19044)Success in time 0.012 s
%------------------------------------------------------------------------------