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DT2H2X---1.9.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : SEV053^5 : 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 : n028.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 09:40:10 AM UTC 2026

% Result   : Theorem 1.30s 1.11s
% Output   : Refutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   17 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :  136 (  40 equ;   0 cnn)
%            Maximal formula atoms :    5 (   8 avg)
%            Number of connectives :  258 (  28   ~;  14   |;  16   &; 191   @)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   46 (   0   ^;  42   !;   4   ?;  46   :)

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

thf(type_def_7,type,
    a: $tType ).

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

thf(func_def_1,type,
    a: $tType ).

thf(func_def_2,type,
    cF: b > b ).

thf(func_def_3,type,
    cA: b > a ).

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

thf(func_def_8,type,
    sK0: b ).

thf(f20,plain,
    $false,
    inference(subsumption_resolution,[status(thm)],[f18,f13]) ).

thf(f13,plain,
    ! [X0: b] :
      ( ( cL @ ( cA @ X0 ) @ ( cA @ ( cF @ X0 ) ) )
      = $true ),
    inference(cnf_transformation,[status(thm)],[f10]) ).

thf(f10,plain,
    ( ! [X0: b] :
        ( ( cL @ ( cA @ X0 ) @ ( cA @ ( cF @ X0 ) ) )
        = $true )
    & ! [X1: a,X2: a,X3: a] :
        ( ( ( cL @ X2 @ X1 )
         != $true )
        | ( ( cL @ X3 @ X1 )
          = $true )
        | ( ( cL @ X3 @ X2 )
         != $true ) )
    & ( ( cL @ ( cA @ sK0 ) @ ( cA @ ( cF @ ( cF @ sK0 ) ) ) )
     != $true ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f8,f9]) ).

thf(f9,plain,
    ( ? [X4: b] :
        ( ( cL @ ( cA @ X4 ) @ ( cA @ ( cF @ ( cF @ X4 ) ) ) )
       != $true )
   => ( ( cL @ ( cA @ sK0 ) @ ( cA @ ( cF @ ( cF @ sK0 ) ) ) )
     != $true ) ),
    introduced(definition,[],[choice_axiom]) ).

thf(f8,plain,
    ( ! [X0: b] :
        ( ( cL @ ( cA @ X0 ) @ ( cA @ ( cF @ X0 ) ) )
        = $true )
    & ! [X1: a,X2: a,X3: a] :
        ( ( ( cL @ X2 @ X1 )
         != $true )
        | ( ( cL @ X3 @ X1 )
          = $true )
        | ( ( cL @ X3 @ X2 )
         != $true ) )
    & ? [X4: b] :
        ( ( cL @ ( cA @ X4 ) @ ( cA @ ( cF @ ( cF @ X4 ) ) ) )
       != $true ) ),
    inference(rectify,[status(thm)],[f7]) ).

thf(f7,plain,
    ( ! [X3: b] :
        ( ( cL @ ( cA @ X3 ) @ ( cA @ ( cF @ X3 ) ) )
        = $true )
    & ! [X1: a,X0: a,X2: a] :
        ( ( ( cL @ X0 @ X1 )
         != $true )
        | ( ( cL @ X2 @ X1 )
          = $true )
        | ( $true
         != ( cL @ X2 @ X0 ) ) )
    & ? [X4: b] :
        ( ( cL @ ( cA @ X4 ) @ ( cA @ ( cF @ ( cF @ X4 ) ) ) )
       != $true ) ),
    inference(flattening,[status(thm)],[f6]) ).

thf(f6,plain,
    ( ? [X4: b] :
        ( ( cL @ ( cA @ X4 ) @ ( cA @ ( cF @ ( cF @ X4 ) ) ) )
       != $true )
    & ! [X2: a,X1: a,X0: a] :
        ( ( ( cL @ X2 @ X1 )
          = $true )
        | ( ( cL @ X0 @ X1 )
         != $true )
        | ( $true
         != ( cL @ X2 @ X0 ) ) )
    & ! [X3: b] :
        ( ( cL @ ( cA @ X3 ) @ ( cA @ ( cF @ X3 ) ) )
        = $true ) ),
    inference(ennf_transformation,[status(thm)],[f5]) ).

thf(f5,plain,
    ~ ( ( ! [X2: a,X1: a,X0: a] :
            ( ( ( ( cL @ X0 @ X1 )
                = $true )
              & ( $true
                = ( cL @ X2 @ X0 ) ) )
           => ( ( cL @ X2 @ X1 )
              = $true ) )
        & ! [X3: b] :
            ( ( cL @ ( cA @ X3 ) @ ( cA @ ( cF @ X3 ) ) )
            = $true ) )
     => ! [X4: b] :
          ( ( cL @ ( cA @ X4 ) @ ( cA @ ( cF @ ( cF @ X4 ) ) ) )
          = $true ) ),
    inference(fool_elimination,[status(thm)],[f4]) ).

thf(f4,plain,
    ~ ( ( ! [X0: a,X1: a,X2: a] :
            ( ( ( cL @ X2 @ X0 )
              & ( cL @ X0 @ X1 ) )
           => ( cL @ X2 @ X1 ) )
        & ! [X3: b] : ( cL @ ( cA @ X3 ) @ ( cA @ ( cF @ X3 ) ) ) )
     => ! [X4: b] : ( cL @ ( cA @ X4 ) @ ( cA @ ( cF @ ( cF @ X4 ) ) ) ) ),
    inference(rectify,[status(thm)],[f2]) ).

thf(f2,negated_conjecture,
    ~ ( ( ! [X1: a,X2: a,X0: a] :
            ( ( ( cL @ X0 @ X1 )
              & ( cL @ X1 @ X2 ) )
           => ( cL @ X0 @ X2 ) )
        & ! [X3: b] : ( cL @ ( cA @ X3 ) @ ( cA @ ( cF @ X3 ) ) ) )
     => ! [X4: b] : ( cL @ ( cA @ X4 ) @ ( cA @ ( cF @ ( cF @ X4 ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

thf(f1,conjecture,
    ( ( ! [X1: a,X2: a,X0: a] :
          ( ( ( cL @ X0 @ X1 )
            & ( cL @ X1 @ X2 ) )
         => ( cL @ X0 @ X2 ) )
      & ! [X3: b] : ( cL @ ( cA @ X3 ) @ ( cA @ ( cF @ X3 ) ) ) )
   => ! [X4: b] : ( cL @ ( cA @ X4 ) @ ( cA @ ( cF @ ( cF @ X4 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.nhcbB2O3n3/DTF2THF_16253.p',cTHM89B_pme) ).

thf(f18,plain,
    ( ( cL @ ( cA @ sK0 ) @ ( cA @ ( cF @ sK0 ) ) )
   != $true ),
    inference(trivial_inequality_removal,[status(thm)],[f16]) ).

thf(f16,plain,
    ( ( ( cL @ ( cA @ sK0 ) @ ( cA @ ( cF @ sK0 ) ) )
     != $true )
    | ( $true != $true ) ),
    inference(superposition,[status(thm)],[f15,f13]) ).

thf(f15,plain,
    ! [X0: a] :
      ( ( ( cL @ X0 @ ( cA @ ( cF @ ( cF @ sK0 ) ) ) )
       != $true )
      | ( ( cL @ ( cA @ sK0 ) @ X0 )
       != $true ) ),
    inference(trivial_inequality_removal,[status(thm)],[f14]) ).

thf(f14,plain,
    ! [X0: a] :
      ( ( $true != $true )
      | ( ( cL @ ( cA @ sK0 ) @ X0 )
       != $true )
      | ( ( cL @ X0 @ ( cA @ ( cF @ ( cF @ sK0 ) ) ) )
       != $true ) ),
    inference(superposition,[status(thm)],[f11,f12]) ).

thf(f12,plain,
    ! [X2: a,X3: a,X1: a] :
      ( ( ( cL @ X3 @ X1 )
        = $true )
      | ( ( cL @ X3 @ X2 )
       != $true )
      | ( ( cL @ X2 @ X1 )
       != $true ) ),
    inference(cnf_transformation,[status(thm)],[f10]) ).

thf(f11,plain,
    ( ( cL @ ( cA @ sK0 ) @ ( cA @ ( cF @ ( cF @ sK0 ) ) ) )
   != $true ),
    inference(cnf_transformation,[status(thm)],[f10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SEV053^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12  % Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.12/0.32  % Computer : n028.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Tue Feb 24 12:39:26 EST 2026
% 0.12/0.32  % CPUTime  : 
% 0.12/0.32  Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.15/0.43  ---- Original DTF file ---
% 0.15/0.43  thf(spec,logic,$$dhol).
% 0.15/0.43  %------------------------------------------------------------------------------
% 0.15/0.43  % File     : SEV053^5 : TPTP v9.2.1. Released v4.0.0.
% 0.15/0.43  % Domain   : Set Theory (Relations)
% 0.15/0.43  % Problem  : TPS problem THM89B
% 0.15/0.43  % Version  : Especial.
% 0.15/0.43  % English  :
% 0.15/0.43  
% 0.15/0.43  % Refs     : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.15/0.43  % Source   : [Bro09]
% 0.15/0.43  % Names    : tps_0258 [Bro09]
% 0.15/0.43  %          : THM89B [TPS]
% 0.15/0.43  
% 0.15/0.43  % Status   : Theorem
% 0.15/0.43  % Rating   : 0.00 v6.2.0, 0.17 v6.0.0, 0.00 v4.0.1, 0.33 v4.0.0
% 0.15/0.43  % Syntax   : Number of formulae    :    6 (   0 unt;   5 typ;   0 def)
% 0.15/0.43  %            Number of atoms       :    5 (   0 equ;   0 cnn)
% 0.15/0.43  %            Maximal formula atoms :    5 (   5 avg)
% 0.15/0.43  %            Number of connectives :   21 (   0   ~;   0   |;   2   &;  17   @)
% 0.15/0.43  %                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
% 0.15/0.43  %            Maximal formula depth :   10 (  10 avg)
% 0.15/0.43  %            Number of types       :    3 (   2 usr)
% 0.15/0.43  %            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
% 0.15/0.43  %            Number of symbols     :    3 (   3 usr;   0 con; 1-2 aty)
% 0.15/0.43  %            Number of variables   :    5 (   0   ^;   5   !;   0   ?;   5   :)
% 0.15/0.43  % SPC      : TH0_THM_NEQ_NAR
% 0.15/0.43  
% 0.15/0.43  % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.15/0.43  %            project in the Department of Mathematical Sciences at Carnegie
% 0.15/0.43  %            Mellon University. Distributed under the Creative Commons copyleft
% 0.15/0.43  %            license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.15/0.43  %          : Polymorphic definitions expanded.
% 0.15/0.43  %------------------------------------------------------------------------------
% 0.15/0.43  thf(b_type,type,
% 0.15/0.43      b: $tType ).
% 0.15/0.43  
% 0.15/0.43  thf(a_type,type,
% 0.15/0.43      a: $tType ).
% 0.15/0.43  
% 0.15/0.43  thf(cF,type,
% 0.15/0.43      cF: b > b ).
% 0.15/0.43  
% 0.15/0.43  thf(cA,type,
% 0.15/0.43      cA: b > a ).
% 0.15/0.43  
% 0.15/0.43  thf(cL,type,
% 0.15/0.43      cL: a > a > $o ).
% 0.15/0.43  
% 0.15/0.43  thf(cTHM89B_pme,conjecture,
% 0.15/0.43      ( ( ! [Xx: a,Xy: a,Xz: a] :
% 0.15/0.43            ( ( ( cL @ Xx @ Xy )
% 0.15/0.43              & ( cL @ Xy @ Xz ) )
% 0.15/0.43           => ( cL @ Xx @ Xz ) )
% 0.15/0.43        & ! [X: b] : ( cL @ ( cA @ X ) @ ( cA @ ( cF @ X ) ) ) )
% 0.15/0.43     => ! [Y: b] : ( cL @ ( cA @ Y ) @ ( cA @ ( cF @ ( cF @ Y ) ) ) ) ) ).
% 0.15/0.43  
% 0.15/0.43  %------------------------------------------------------------------------------
% 0.15/0.43  ------------------------
% 1.13/1.09  ---- Embedded in THF ---
% 1.13/1.09  %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.13/1.09  %%% Generated on Tue Feb 24 12:39:27 EST 2026
% 1.13/1.09  %%% using '$$dhol' embedding, version 1.3.0.
% 1.13/1.09  %%% Logic specification used:
% 1.13/1.09  %%% thf(spec, logic, $$dhol).
% 1.13/1.09  
% 1.13/1.09  % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.nhcbB2O3n3/DTF2DTF16253.p
% See solution above
% 1.13/1.09  ------------------------
% 1.13/1.10  ---- Cleaned THF ---
% 1.13/1.10  thf(b_type,type,
% 1.13/1.10      b: $tType ).
% 1.13/1.10  
% 1.13/1.10  thf(a_type,type,
% 1.13/1.10      a: $tType ).
% 1.13/1.10  
% 1.13/1.10  thf(cF,type,
% 1.13/1.10      cF: b > b ).
% 1.13/1.10  
% 1.13/1.10  thf(cA,type,
% 1.13/1.10      cA: b > a ).
% 1.13/1.10  
% 1.13/1.10  thf(cL,type,
% 1.13/1.10      cL: a > a > $o ).
% 1.13/1.10  
% 1.13/1.10  thf(cTHM89B_pme,conjecture,
% 1.13/1.10      ( ( ! [Xx: a,Xy: a,Xz: a] :
% 1.13/1.10            ( ( ( cL @ Xx @ Xy )
% 1.13/1.10              & ( cL @ Xy @ Xz ) )
% 1.13/1.10           => ( cL @ Xx @ Xz ) )
% 1.13/1.10        & ! [X: b] : ( cL @ ( cA @ X ) @ ( cA @ ( cF @ X ) ) ) )
% 1.13/1.10     => ! [Y: b] : ( cL @ ( cA @ Y ) @ ( cA @ ( cF @ ( cF @ Y ) ) ) ) ) ).
% 1.13/1.10  ------------------------
% 1.13/1.11  % (16350)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_16253 for (2999ds/183Mi)
% 1.30/1.11  % (16350)First to succeed.
% 1.30/1.11  % (16350)Refutation found. Thanks to Tanya!
% 1.30/1.11  % SZS status Theorem for DTF2THF_16253
% 1.30/1.11  % SZS output start Proof for DTF2THF_16253
% 1.30/1.11  thf(type_def_5, type, b: $tType).
% 1.30/1.11  thf(type_def_7, type, a: $tType).
% 1.30/1.11  thf(func_def_0, type, b: $tType).
% 1.30/1.11  thf(func_def_1, type, a: $tType).
% 1.30/1.11  thf(func_def_2, type, cF: b > b).
% 1.30/1.11  thf(func_def_3, type, cA: b > a).
% 1.30/1.11  thf(func_def_4, type, cL: a > a > $o).
% 1.30/1.11  thf(func_def_8, type, sK0: b).
% 1.30/1.11  thf(f20,plain,(
% 1.30/1.11    $false),
% 1.30/1.11    inference(subsumption_resolution,[status(thm)],[f18,f13])).
% 1.30/1.11  thf(f13,plain,(
% 1.30/1.11    ( ! [X0 : b] : (((cL @ (cA @ X0) @ (cA @ (cF @ X0))) = $true)) )),
% 1.30/1.11    inference(cnf_transformation,[status(thm)],[f10])).
% 1.30/1.11  thf(f10,plain,(
% 1.30/1.11    ! [X0 : b] : ((cL @ (cA @ X0) @ (cA @ (cF @ X0))) = $true) & ! [X1 : a,X2 : a,X3 : a] : (((cL @ X2 @ X1) != $true) | ((cL @ X3 @ X1) = $true) | ((cL @ X3 @ X2) != $true)) & ((cL @ (cA @ sK0) @ (cA @ (cF @ (cF @ sK0)))) != $true)),
% 1.30/1.11    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f8,f9])).
% 1.30/1.11  thf(f9,plain,(
% 1.30/1.11    ? [X4 : b] : ((cL @ (cA @ X4) @ (cA @ (cF @ (cF @ X4)))) != $true) => ((cL @ (cA @ sK0) @ (cA @ (cF @ (cF @ sK0)))) != $true)),
% 1.30/1.11    introduced(definition,[],[choice_axiom])).
% 1.30/1.11  thf(f8,plain,(
% 1.30/1.11    ! [X0 : b] : ((cL @ (cA @ X0) @ (cA @ (cF @ X0))) = $true) & ! [X1 : a,X2 : a,X3 : a] : (((cL @ X2 @ X1) != $true) | ((cL @ X3 @ X1) = $true) | ((cL @ X3 @ X2) != $true)) & ? [X4 : b] : ((cL @ (cA @ X4) @ (cA @ (cF @ (cF @ X4)))) != $true)),
% 1.30/1.11    inference(rectify,[status(thm)],[f7])).
% 1.30/1.11  thf(f7,plain,(
% 1.30/1.11    ! [X3 : b] : ((cL @ (cA @ X3) @ (cA @ (cF @ X3))) = $true) & ! [X1 : a,X0 : a,X2 : a] : (((cL @ X0 @ X1) != $true) | ((cL @ X2 @ X1) = $true) | ($true != (cL @ X2 @ X0))) & ? [X4 : b] : ((cL @ (cA @ X4) @ (cA @ (cF @ (cF @ X4)))) != $true)),
% 1.30/1.11    inference(flattening,[status(thm)],[f6])).
% 1.30/1.11  thf(f6,plain,(
% 1.30/1.11    ? [X4 : b] : ((cL @ (cA @ X4) @ (cA @ (cF @ (cF @ X4)))) != $true) & (! [X2 : a,X1 : a,X0 : a] : (((cL @ X2 @ X1) = $true) | (((cL @ X0 @ X1) != $true) | ($true != (cL @ X2 @ X0)))) & ! [X3 : b] : ((cL @ (cA @ X3) @ (cA @ (cF @ X3))) = $true))),
% 1.30/1.11    inference(ennf_transformation,[status(thm)],[f5])).
% 1.30/1.11  thf(f5,plain,(
% 1.30/1.11    ~((! [X2 : a,X1 : a,X0 : a] : ((((cL @ X0 @ X1) = $true) & ($true = (cL @ X2 @ X0))) => ((cL @ X2 @ X1) = $true)) & ! [X3 : b] : ((cL @ (cA @ X3) @ (cA @ (cF @ X3))) = $true)) => ! [X4 : b] : ((cL @ (cA @ X4) @ (cA @ (cF @ (cF @ X4)))) = $true))),
% 1.30/1.11    inference(fool_elimination,[status(thm)],[f4])).
% 1.30/1.11  thf(f4,plain,(
% 1.30/1.11    ~((! [X0 : a,X1 : a,X2 : a] : (((cL @ X2 @ X0) & (cL @ X0 @ X1)) => (cL @ X2 @ X1)) & ! [X3 : b] : (cL @ (cA @ X3) @ (cA @ (cF @ X3)))) => ! [X4 : b] : (cL @ (cA @ X4) @ (cA @ (cF @ (cF @ X4)))))),
% 1.30/1.11    inference(rectify,[status(thm)],[f2])).
% 1.30/1.11  thf(f2,negated_conjecture,(
% 1.30/1.11    ~((! [X1 : a,X2 : a,X0 : a] : (((cL @ X0 @ X1) & (cL @ X1 @ X2)) => (cL @ X0 @ X2)) & ! [X3 : b] : (cL @ (cA @ X3) @ (cA @ (cF @ X3)))) => ! [X4 : b] : (cL @ (cA @ X4) @ (cA @ (cF @ (cF @ X4)))))),
% 1.30/1.11    inference(negated_conjecture,[status(cth)],[f1])).
% 1.30/1.11  thf(f1,conjecture,(
% 1.30/1.11    (! [X1 : a,X2 : a,X0 : a] : (((cL @ X0 @ X1) & (cL @ X1 @ X2)) => (cL @ X0 @ X2)) & ! [X3 : b] : (cL @ (cA @ X3) @ (cA @ (cF @ X3)))) => ! [X4 : b] : (cL @ (cA @ X4) @ (cA @ (cF @ (cF @ X4))))),
% 1.30/1.11    file('/export/starexec/sandbox/tmp/tmp.nhcbB2O3n3/DTF2THF_16253.p',cTHM89B_pme)).
% 1.30/1.11  thf(f18,plain,(
% 1.30/1.11    ((cL @ (cA @ sK0) @ (cA @ (cF @ sK0))) != $true)),
% 1.30/1.11    inference(trivial_inequality_removal,[status(thm)],[f16])).
% 1.30/1.11  thf(f16,plain,(
% 1.30/1.11    ((cL @ (cA @ sK0) @ (cA @ (cF @ sK0))) != $true) | ($true != $true)),
% 1.30/1.11    inference(superposition,[status(thm)],[f15,f13])).
% 1.30/1.11  thf(f15,plain,(
% 1.30/1.11    ( ! [X0 : a] : (((cL @ X0 @ (cA @ (cF @ (cF @ sK0)))) != $true) | ((cL @ (cA @ sK0) @ X0) != $true)) )),
% 1.30/1.11    inference(trivial_inequality_removal,[status(thm)],[f14])).
% 1.30/1.11  thf(f14,plain,(
% 1.30/1.11    ( ! [X0 : a] : (($true != $true) | ((cL @ (cA @ sK0) @ X0) != $true) | ((cL @ X0 @ (cA @ (cF @ (cF @ sK0)))) != $true)) )),
% 1.30/1.11    inference(superposition,[status(thm)],[f11,f12])).
% 1.30/1.11  thf(f12,plain,(
% 1.30/1.11    ( ! [X2 : a,X3 : a,X1 : a] : (((cL @ X3 @ X1) = $true) | ((cL @ X3 @ X2) != $true) | ((cL @ X2 @ X1) != $true)) )),
% 1.30/1.11    inference(cnf_transformation,[status(thm)],[f10])).
% 1.30/1.11  thf(f11,plain,(
% 1.30/1.11    ((cL @ (cA @ sK0) @ (cA @ (cF @ (cF @ sK0)))) != $true)),
% 1.30/1.11    inference(cnf_transformation,[status(thm)],[f10])).
% 1.30/1.11  % SZS output end Proof for DTF2THF_16253
% 1.30/1.11  % (16350)------------------------------
% 1.30/1.11  % (16350)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.11  % (16350)Termination reason: Refutation
% 1.30/1.11  
% 1.30/1.11  % (16350)Memory used [KB]: 5500
% 1.30/1.11  % (16350)Time elapsed: 0.003 s
% 1.30/1.11  % (16350)Instructions burned: 3 (million)
% 1.30/1.11  % (16350)------------------------------
% 1.30/1.11  % (16350)------------------------------
% 1.30/1.11  % (16349)Success in time 0.013 s
%------------------------------------------------------------------------------