↑ Up

DT2H2X---1.9.5.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : SEV014^5 : 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 : 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 09:40:03 AM UTC 2026

% Result   : Theorem 1.63s 1.30s
% Output   : Refutation 1.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :  128 (  54 equ;   0 cnn)
%            Maximal formula atoms :   14 (   9 avg)
%            Number of connectives :  241 (  31   ~;  18   |;  30   &; 148   @)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   2 usr;   3 con; 0-2 aty)
%            Number of variables   :   79 (   0   ^;  69   !;  10   ?;  79   :)

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

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

thf(func_def_4,type,
    sK0: a > a > $o ).

thf(func_def_5,type,
    sK1: a ).

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

thf(f18,plain,
    $true != $true,
    inference(superposition,[status(thm)],[f14,f12]) ).

thf(f12,plain,
    ! [X7: a] :
      ( ( sK0 @ X7 @ X7 )
      = $true ),
    inference(cnf_transformation,[status(thm)],[f11]) ).

thf(f11,plain,
    ( ! [X1: a,X2: a,X3: a] :
        ( ( ( sK0 @ X1 @ X2 )
         != $true )
        | ( ( sK0 @ X2 @ X3 )
         != $true )
        | ( ( sK0 @ X1 @ X3 )
          = $true ) )
    & ( ( sK0 @ sK1 @ sK1 )
     != $true )
    & ! [X5: a,X6: a] :
        ( ( ( sK0 @ X6 @ X5 )
          = $true )
        | ( ( sK0 @ X5 @ X6 )
         != $true ) )
    & ! [X7: a] :
        ( ( sK0 @ X7 @ X7 )
        = $true ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f8,f10,f9]) ).

thf(f9,plain,
    ( ? [X0: a > a > $o] :
        ( ! [X1: a,X2: a,X3: a] :
            ( ( ( X0 @ X1 @ X2 )
             != $true )
            | ( ( X0 @ X2 @ X3 )
             != $true )
            | ( ( X0 @ X1 @ X3 )
              = $true ) )
        & ? [X4: a] :
            ( ( X0 @ X4 @ X4 )
           != $true )
        & ! [X5: a,X6: a] :
            ( ( ( X0 @ X6 @ X5 )
              = $true )
            | ( ( X0 @ X5 @ X6 )
             != $true ) )
        & ! [X7: a] :
            ( ( X0 @ X7 @ X7 )
            = $true ) )
   => ( ! [X3: a,X2: a,X1: a] :
          ( ( ( sK0 @ X1 @ X2 )
           != $true )
          | ( ( sK0 @ X2 @ X3 )
           != $true )
          | ( ( sK0 @ X1 @ X3 )
            = $true ) )
      & ? [X4: a] :
          ( ( sK0 @ X4 @ X4 )
         != $true )
      & ! [X6: a,X5: a] :
          ( ( ( sK0 @ X6 @ X5 )
            = $true )
          | ( ( sK0 @ X5 @ X6 )
           != $true ) )
      & ! [X7: a] :
          ( ( sK0 @ X7 @ X7 )
          = $true ) ) ),
    introduced(definition,[],[choice_axiom]) ).

thf(f10,plain,
    ( ? [X4: a] :
        ( ( sK0 @ X4 @ X4 )
       != $true )
   => ( ( sK0 @ sK1 @ sK1 )
     != $true ) ),
    introduced(definition,[],[choice_axiom]) ).

thf(f8,plain,
    ? [X0: a > a > $o] :
      ( ! [X1: a,X2: a,X3: a] :
          ( ( ( X0 @ X1 @ X2 )
           != $true )
          | ( ( X0 @ X2 @ X3 )
           != $true )
          | ( ( X0 @ X1 @ X3 )
            = $true ) )
      & ? [X4: a] :
          ( ( X0 @ X4 @ X4 )
         != $true )
      & ! [X5: a,X6: a] :
          ( ( ( X0 @ X6 @ X5 )
            = $true )
          | ( ( X0 @ X5 @ X6 )
           != $true ) )
      & ! [X7: a] :
          ( ( X0 @ X7 @ X7 )
          = $true ) ),
    inference(rectify,[status(thm)],[f7]) ).

thf(f7,plain,
    ? [X0: a > a > $o] :
      ( ! [X3: a,X1: a,X2: a] :
          ( ( ( X0 @ X3 @ X1 )
           != $true )
          | ( ( X0 @ X1 @ X2 )
           != $true )
          | ( ( X0 @ X3 @ X2 )
            = $true ) )
      & ? [X7: a] :
          ( ( X0 @ X7 @ X7 )
         != $true )
      & ! [X6: a,X5: a] :
          ( ( ( X0 @ X5 @ X6 )
            = $true )
          | ( ( X0 @ X6 @ X5 )
           != $true ) )
      & ! [X4: a] :
          ( ( X0 @ X4 @ X4 )
          = $true ) ),
    inference(flattening,[status(thm)],[f6]) ).

thf(f6,plain,
    ? [X0: a > a > $o] :
      ( ? [X7: a] :
          ( ( X0 @ X7 @ X7 )
         != $true )
      & ! [X4: a] :
          ( ( X0 @ X4 @ X4 )
          = $true )
      & ! [X6: a,X5: a] :
          ( ( ( X0 @ X5 @ X6 )
            = $true )
          | ( ( X0 @ X6 @ X5 )
           != $true ) )
      & ! [X1: a,X3: a,X2: a] :
          ( ( ( X0 @ X3 @ X2 )
            = $true )
          | ( ( X0 @ X1 @ X2 )
           != $true )
          | ( ( X0 @ X3 @ X1 )
           != $true ) ) ),
    inference(ennf_transformation,[status(thm)],[f5]) ).

thf(f5,plain,
    ~ ! [X0: a > a > $o] :
        ( ( ! [X4: a] :
              ( ( X0 @ X4 @ X4 )
              = $true )
          & ! [X6: a,X5: a] :
              ( ( ( X0 @ X6 @ X5 )
                = $true )
             => ( ( X0 @ X5 @ X6 )
                = $true ) )
          & ! [X1: a,X3: a,X2: a] :
              ( ( ( ( X0 @ X1 @ X2 )
                  = $true )
                & ( ( X0 @ X3 @ X1 )
                  = $true ) )
             => ( ( X0 @ X3 @ X2 )
                = $true ) ) )
       => ! [X7: a] :
            ( ( X0 @ X7 @ X7 )
            = $true ) ),
    inference(fool_elimination,[status(thm)],[f4]) ).

thf(f4,plain,
    ~ ! [X0: a > a > $o] :
        ( ( ! [X1: a,X2: a,X3: a] :
              ( ( ( X0 @ X1 @ X2 )
                & ( X0 @ X3 @ X1 ) )
             => ( X0 @ X3 @ X2 ) )
          & ! [X4: a] : ( X0 @ X4 @ X4 )
          & ! [X5: a,X6: a] :
              ( ( X0 @ X6 @ X5 )
             => ( X0 @ X5 @ X6 ) ) )
       => ! [X7: a] : ( X0 @ X7 @ X7 ) ),
    inference(rectify,[status(thm)],[f2]) ).

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

thf(f1,conjecture,
    ! [X0: a > a > $o] :
      ( ( ! [X2: a,X3: a,X1: a] :
            ( ( ( X0 @ X2 @ X3 )
              & ( X0 @ X1 @ X2 ) )
           => ( X0 @ X1 @ X3 ) )
        & ! [X1: a] : ( X0 @ X1 @ X1 )
        & ! [X2: a,X1: a] :
            ( ( X0 @ X1 @ X2 )
           => ( X0 @ X2 @ X1 ) ) )
     => ! [X1: a] : ( X0 @ X1 @ X1 ) ),
    file('/export/starexec/sandbox/tmp/tmp.QEFQZMckx0/DTF2THF_6941.p',cTHM513_pme) ).

thf(f14,plain,
    ( ( sK0 @ sK1 @ sK1 )
   != $true ),
    inference(cnf_transformation,[status(thm)],[f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEV014^5 : 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 : n015.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 12:38:46 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
% 0.28/0.46  ---- Original DTF file ---
% 0.28/0.46  thf(spec,logic,$$dhol).
% 0.28/0.46  %------------------------------------------------------------------------------
% 0.28/0.46  % File     : SEV014^5 : TPTP v9.2.1. Released v4.0.0.
% 0.28/0.46  % Domain   : Set Theory (Relations)
% 0.28/0.46  % Problem  : TPS problem from EQUIVALENCE-RELATIONS-THMS
% 0.28/0.46  % Version  : Especial.
% 0.28/0.46  % English  :
% 0.28/0.46  
% 0.28/0.46  % Refs     : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.28/0.46  % Source   : [Bro09]
% 0.28/0.46  % Names    : tps_0911 [Bro09]
% 0.28/0.46  
% 0.28/0.46  % Status   : Theorem
% 0.28/0.46  % Rating   : 0.00 v6.2.0, 0.17 v6.1.0, 0.00 v4.0.0
% 0.28/0.46  % Syntax   : Number of formulae    :    2 (   0 unt;   1 typ;   0 def)
% 0.28/0.46  %            Number of atoms       :    0 (   0 equ;   0 cnn)
% 0.28/0.46  %            Maximal formula atoms :    0 (   0 avg)
% 0.28/0.46  %            Number of connectives :   20 (   0   ~;   0   |;   3   &;  14   @)
% 0.28/0.46  %                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
% 0.28/0.46  %            Maximal formula depth :   12 (  12 avg)
% 0.28/0.46  %            Number of types       :    2 (   1 usr)
% 0.28/0.46  %            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
% 0.28/0.46  %            Number of symbols     :    0 (   0 usr;   0 con; --- aty)
% 0.28/0.46  %            Number of variables   :    8 (   0   ^;   8   !;   0   ?;   8   :)
% 0.28/0.46  % SPC      : TH0_THM_NEQ_NAR
% 0.28/0.46  
% 0.28/0.46  % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.28/0.46  %            project in the Department of Mathematical Sciences at Carnegie
% 0.28/0.46  %            Mellon University. Distributed under the Creative Commons copyleft
% 0.28/0.46  %            license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.28/0.46  %------------------------------------------------------------------------------
% 0.28/0.46  thf(a_type,type,
% 0.28/0.46      a: $tType ).
% 0.28/0.46  
% 0.28/0.46  thf(cTHM513_pme,conjecture,
% 0.28/0.46      ! [Xr: a > a > $o] :
% 0.28/0.46        ( ( ! [Xx: a] : ( Xr @ Xx @ Xx )
% 0.28/0.46          & ! [Xx: a,Xy: a] :
% 0.28/0.46              ( ( Xr @ Xx @ Xy )
% 0.28/0.46             => ( Xr @ Xy @ Xx ) )
% 0.28/0.46          & ! [Xx: a,Xy: a,Xz: a] :
% 0.28/0.46              ( ( ( Xr @ Xx @ Xy )
% 0.28/0.46                & ( Xr @ Xy @ Xz ) )
% 0.28/0.46             => ( Xr @ Xx @ Xz ) ) )
% 0.28/0.46       => ! [Xx: a] : ( Xr @ Xx @ Xx ) ) ).
% 0.28/0.46  
% 0.28/0.46  %------------------------------------------------------------------------------
% 0.28/0.46  ------------------------
% 1.46/1.27  ---- Embedded in THF ---
% 1.46/1.27  %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.46/1.27  %%% Generated on Tue Feb 24 12:38:47 EST 2026
% 1.46/1.27  %%% using '$$dhol' embedding, version 1.3.0.
% 1.46/1.27  %%% Logic specification used:
% 1.46/1.27  %%% thf(spec, logic, $$dhol).
% 1.46/1.27  
% 1.46/1.27  % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.QEFQZMckx0/DTF2DTF6941.p
% See solution above
% 1.46/1.27  ------------------------
% 1.46/1.28  ---- Cleaned THF ---
% 1.46/1.28  thf(a_type,type,
% 1.46/1.28      a: $tType ).
% 1.46/1.28  
% 1.46/1.28  thf(cTHM513_pme,conjecture,
% 1.46/1.28      ! [Xr: a > a > $o] :
% 1.46/1.28        ( ( ! [Xx: a] : ( Xr @ Xx @ Xx )
% 1.46/1.28          & ! [Xx: a,Xy: a] :
% 1.46/1.28              ( ( Xr @ Xx @ Xy )
% 1.46/1.28             => ( Xr @ Xy @ Xx ) )
% 1.46/1.28          & ! [Xx: a,Xy: a,Xz: a] :
% 1.46/1.28              ( ( ( Xr @ Xx @ Xy )
% 1.46/1.28                & ( Xr @ Xy @ Xz ) )
% 1.46/1.28             => ( Xr @ Xx @ Xz ) ) )
% 1.46/1.28       => ! [Xx: a] : ( Xr @ Xx @ Xx ) ) ).
% 1.46/1.28  ------------------------
% 1.63/1.30  % (7216)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_6941 for (2999ds/4Mi)
% 1.63/1.30  % (7215)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_6941 for (2999ds/183Mi)
% 1.63/1.30  % (7216)First to succeed.
% 1.63/1.30  % (7215)Also succeeded, but the first one will report.
% 1.63/1.30  % (7216)Refutation found. Thanks to Tanya!
% 1.63/1.30  % SZS status Theorem for DTF2THF_6941
% 1.63/1.30  % SZS output start Proof for DTF2THF_6941
% 1.63/1.30  thf(type_def_5, type, a: $tType).
% 1.63/1.30  thf(func_def_0, type, a: $tType).
% 1.63/1.30  thf(func_def_4, type, sK0: a > a > $o).
% 1.63/1.30  thf(func_def_5, type, sK1: a).
% 1.63/1.30  thf(f20,plain,(
% 1.63/1.30    $false),
% 1.63/1.30    inference(trivial_inequality_removal,[status(thm)],[f18])).
% 1.63/1.30  thf(f18,plain,(
% 1.63/1.30    ($true != $true)),
% 1.63/1.30    inference(superposition,[status(thm)],[f14,f12])).
% 1.63/1.30  thf(f12,plain,(
% 1.63/1.30    ( ! [X7 : a] : (((sK0 @ X7 @ X7) = $true)) )),
% 1.63/1.30    inference(cnf_transformation,[status(thm)],[f11])).
% 1.63/1.30  thf(f11,plain,(
% 1.63/1.30    ! [X1 : a,X2 : a,X3 : a] : (((sK0 @ X1 @ X2) != $true) | ((sK0 @ X2 @ X3) != $true) | ((sK0 @ X1 @ X3) = $true)) & ((sK0 @ sK1 @ sK1) != $true) & ! [X5 : a,X6 : a] : (((sK0 @ X6 @ X5) = $true) | ((sK0 @ X5 @ X6) != $true)) & ! [X7 : a] : ((sK0 @ X7 @ X7) = $true)),
% 1.63/1.30    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f8,f10,f9])).
% 1.63/1.30  thf(f9,plain,(
% 1.63/1.30    ? [X0 : a > a > $o] : (! [X1 : a,X2 : a,X3 : a] : (((X0 @ X1 @ X2) != $true) | ((X0 @ X2 @ X3) != $true) | ((X0 @ X1 @ X3) = $true)) & ? [X4 : a] : ((X0 @ X4 @ X4) != $true) & ! [X5 : a,X6 : a] : (((X0 @ X6 @ X5) = $true) | ((X0 @ X5 @ X6) != $true)) & ! [X7 : a] : ((X0 @ X7 @ X7) = $true)) => (! [X3 : a,X2 : a,X1 : a] : (((sK0 @ X1 @ X2) != $true) | ((sK0 @ X2 @ X3) != $true) | ((sK0 @ X1 @ X3) = $true)) & ? [X4 : a] : ((sK0 @ X4 @ X4) != $true) & ! [X6 : a,X5 : a] : (((sK0 @ X6 @ X5) = $true) | ((sK0 @ X5 @ X6) != $true)) & ! [X7 : a] : ((sK0 @ X7 @ X7) = $true))),
% 1.63/1.30    introduced(definition,[],[choice_axiom])).
% 1.63/1.30  thf(f10,plain,(
% 1.63/1.30    ? [X4 : a] : ((sK0 @ X4 @ X4) != $true) => ((sK0 @ sK1 @ sK1) != $true)),
% 1.63/1.30    introduced(definition,[],[choice_axiom])).
% 1.63/1.30  thf(f8,plain,(
% 1.63/1.30    ? [X0 : a > a > $o] : (! [X1 : a,X2 : a,X3 : a] : (((X0 @ X1 @ X2) != $true) | ((X0 @ X2 @ X3) != $true) | ((X0 @ X1 @ X3) = $true)) & ? [X4 : a] : ((X0 @ X4 @ X4) != $true) & ! [X5 : a,X6 : a] : (((X0 @ X6 @ X5) = $true) | ((X0 @ X5 @ X6) != $true)) & ! [X7 : a] : ((X0 @ X7 @ X7) = $true))),
% 1.63/1.30    inference(rectify,[status(thm)],[f7])).
% 1.63/1.30  thf(f7,plain,(
% 1.63/1.30    ? [X0 : a > a > $o] : (! [X3 : a,X1 : a,X2 : a] : (((X0 @ X3 @ X1) != $true) | ((X0 @ X1 @ X2) != $true) | ((X0 @ X3 @ X2) = $true)) & ? [X7 : a] : ((X0 @ X7 @ X7) != $true) & ! [X6 : a,X5 : a] : (((X0 @ X5 @ X6) = $true) | ((X0 @ X6 @ X5) != $true)) & ! [X4 : a] : ((X0 @ X4 @ X4) = $true))),
% 1.63/1.30    inference(flattening,[status(thm)],[f6])).
% 1.63/1.30  thf(f6,plain,(
% 1.63/1.30    ? [X0 : a > a > $o] : (? [X7 : a] : ((X0 @ X7 @ X7) != $true) & (! [X4 : a] : ((X0 @ X4 @ X4) = $true) & ! [X6 : a,X5 : a] : (((X0 @ X5 @ X6) = $true) | ((X0 @ X6 @ X5) != $true)) & ! [X1 : a,X3 : a,X2 : a] : (((X0 @ X3 @ X2) = $true) | (((X0 @ X1 @ X2) != $true) | ((X0 @ X3 @ X1) != $true)))))),
% 1.63/1.30    inference(ennf_transformation,[status(thm)],[f5])).
% 1.63/1.30  thf(f5,plain,(
% 1.63/1.30    ~! [X0 : a > a > $o] : ((! [X4 : a] : ((X0 @ X4 @ X4) = $true) & ! [X6 : a,X5 : a] : (((X0 @ X6 @ X5) = $true) => ((X0 @ X5 @ X6) = $true)) & ! [X1 : a,X3 : a,X2 : a] : ((((X0 @ X1 @ X2) = $true) & ((X0 @ X3 @ X1) = $true)) => ((X0 @ X3 @ X2) = $true))) => ! [X7 : a] : ((X0 @ X7 @ X7) = $true))),
% 1.63/1.30    inference(fool_elimination,[status(thm)],[f4])).
% 1.63/1.30  thf(f4,plain,(
% 1.63/1.30    ~! [X0 : a > a > $o] : ((! [X1 : a,X2 : a,X3 : a] : (((X0 @ X1 @ X2) & (X0 @ X3 @ X1)) => (X0 @ X3 @ X2)) & ! [X4 : a] : (X0 @ X4 @ X4) & ! [X5 : a,X6 : a] : ((X0 @ X6 @ X5) => (X0 @ X5 @ X6))) => ! [X7 : a] : (X0 @ X7 @ X7))),
% 1.63/1.30    inference(rectify,[status(thm)],[f2])).
% 1.63/1.30  thf(f2,negated_conjecture,(
% 1.63/1.30    ~! [X0 : a > a > $o] : ((! [X2 : a,X3 : a,X1 : a] : (((X0 @ X2 @ X3) & (X0 @ X1 @ X2)) => (X0 @ X1 @ X3)) & ! [X1 : a] : (X0 @ X1 @ X1) & ! [X2 : a,X1 : a] : ((X0 @ X1 @ X2) => (X0 @ X2 @ X1))) => ! [X1 : a] : (X0 @ X1 @ X1))),
% 1.63/1.30    inference(negated_conjecture,[status(cth)],[f1])).
% 1.63/1.30  thf(f1,conjecture,(
% 1.63/1.30    ! [X0 : a > a > $o] : ((! [X2 : a,X3 : a,X1 : a] : (((X0 @ X2 @ X3) & (X0 @ X1 @ X2)) => (X0 @ X1 @ X3)) & ! [X1 : a] : (X0 @ X1 @ X1) & ! [X2 : a,X1 : a] : ((X0 @ X1 @ X2) => (X0 @ X2 @ X1))) => ! [X1 : a] : (X0 @ X1 @ X1))),
% 1.63/1.30    file('/export/starexec/sandbox/tmp/tmp.QEFQZMckx0/DTF2THF_6941.p',cTHM513_pme)).
% 1.63/1.30  thf(f14,plain,(
% 1.63/1.30    ((sK0 @ sK1 @ sK1) != $true)),
% 1.63/1.30    inference(cnf_transformation,[status(thm)],[f11])).
% 1.63/1.30  % SZS output end Proof for DTF2THF_6941
% 1.63/1.30  % (7216)------------------------------
% 1.63/1.30  % (7216)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.30  % (7216)Termination reason: Refutation
% 1.63/1.30  
% 1.63/1.30  % (7216)Memory used [KB]: 5500
% 1.63/1.30  % (7216)Time elapsed: 0.002 s
% 1.63/1.30  % (7216)Instructions burned: 2 (million)
% 1.63/1.30  % (7216)------------------------------
% 1.63/1.30  % (7216)------------------------------
% 1.63/1.30  % (7214)Success in time 0.012 s
%------------------------------------------------------------------------------