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DT2H2X---1.9.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : SEU935^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n009.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 09:37:47 AM UTC 2026

% Result   : Theorem 1.63s 1.30s
% Output   : Refutation 1.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   39 (  38 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   90 (  13   ~;   0   |;  15   &;  55   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    3 (   3 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   77 (   0   ^;  42   !;  35   ?;  77   :)

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

thf(type_def_6,type,
    b: $tType ).

thf(type_def_8,type,
    c: $tType ).

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

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

thf(func_def_2,type,
    c: $tType ).

thf(func_def_6,type,
    sK0: b > c ).

thf(func_def_7,type,
    sK1: a > b ).

thf(func_def_8,type,
    sK2: b > a ).

thf(func_def_9,type,
    sK3: c > b ).

thf(func_def_10,type,
    sK4: c ).

thf(f18,plain,
    $false,
    inference(equality_resolution,[status(thm)],[f17]) ).

thf(f17,plain,
    ! [X0: c] : ( sK4 != X0 ),
    inference(superposition,[status(thm)],[f16,f14]) ).

thf(f14,plain,
    ! [X4: c] :
      ( ( sK0 @ ( sK3 @ X4 ) )
      = X4 ),
    inference(cnf_transformation,[status(thm)],[f12]) ).

thf(f12,plain,
    ( ! [X2: b] :
        ( ( sK1 @ ( sK2 @ X2 ) )
        = X2 )
    & ! [X4: c] :
        ( ( sK0 @ ( sK3 @ X4 ) )
        = X4 )
    & ! [X7: a] :
        ( ( sK0 @ ( sK1 @ X7 ) )
       != sK4 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f7,f11,f10,f9,f8]) ).

thf(f8,plain,
    ( ? [X0: b > c,X1: a > b] :
        ( ! [X2: b] :
          ? [X3: a] :
            ( ( X1 @ X3 )
            = X2 )
        & ! [X4: c] :
          ? [X5: b] :
            ( ( X0 @ X5 )
            = X4 )
        & ? [X6: c] :
          ! [X7: a] :
            ( ( X0 @ ( X1 @ X7 ) )
           != X6 ) )
   => ( ! [X2: b] :
        ? [X3: a] :
          ( ( sK1 @ X3 )
          = X2 )
      & ! [X4: c] :
        ? [X5: b] :
          ( ( sK0 @ X5 )
          = X4 )
      & ? [X6: c] :
        ! [X7: a] :
          ( ( sK0 @ ( sK1 @ X7 ) )
         != X6 ) ) ),
    introduced(definition,[],[choice_axiom]) ).

thf(f9,plain,
    ! [X2: b] :
      ( ? [X3: a] :
          ( ( sK1 @ X3 )
          = X2 )
     => ( ( sK1 @ ( sK2 @ X2 ) )
        = X2 ) ),
    introduced(definition,[],[choice_axiom]) ).

thf(f10,plain,
    ! [X4: c] :
      ( ? [X5: b] :
          ( ( sK0 @ X5 )
          = X4 )
     => ( ( sK0 @ ( sK3 @ X4 ) )
        = X4 ) ),
    introduced(definition,[],[choice_axiom]) ).

thf(f11,plain,
    ( ? [X6: c] :
      ! [X7: a] :
        ( ( sK0 @ ( sK1 @ X7 ) )
       != X6 )
   => ! [X7: a] :
        ( ( sK0 @ ( sK1 @ X7 ) )
       != sK4 ) ),
    introduced(definition,[],[choice_axiom]) ).

thf(f7,plain,
    ? [X0: b > c,X1: a > b] :
      ( ! [X2: b] :
        ? [X3: a] :
          ( ( X1 @ X3 )
          = X2 )
      & ! [X4: c] :
        ? [X5: b] :
          ( ( X0 @ X5 )
          = X4 )
      & ? [X6: c] :
        ! [X7: a] :
          ( ( X0 @ ( X1 @ X7 ) )
         != X6 ) ),
    inference(rectify,[status(thm)],[f6]) ).

thf(f6,plain,
    ? [X1: b > c,X0: a > b] :
      ( ! [X2: b] :
        ? [X3: a] :
          ( ( X0 @ X3 )
          = X2 )
      & ! [X4: c] :
        ? [X5: b] :
          ( ( X1 @ X5 )
          = X4 )
      & ? [X6: c] :
        ! [X7: a] :
          ( ( X1 @ ( X0 @ X7 ) )
         != X6 ) ),
    inference(flattening,[status(thm)],[f5]) ).

thf(f5,plain,
    ? [X1: b > c,X0: a > b] :
      ( ? [X6: c] :
        ! [X7: a] :
          ( ( X1 @ ( X0 @ X7 ) )
         != X6 )
      & ! [X2: b] :
        ? [X3: a] :
          ( ( X0 @ X3 )
          = X2 )
      & ! [X4: c] :
        ? [X5: b] :
          ( ( X1 @ X5 )
          = X4 ) ),
    inference(ennf_transformation,[status(thm)],[f4]) ).

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

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

thf(f1,conjecture,
    ! [X0: a > b,X1: b > c] :
      ( ( ! [X2: b] :
          ? [X3: a] :
            ( ( X0 @ X3 )
            = X2 )
        & ! [X2: c] :
          ? [X3: b] :
            ( ( X1 @ X3 )
            = X2 ) )
     => ! [X2: c] :
        ? [X3: a] :
          ( ( X1 @ ( X0 @ X3 ) )
          = X2 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.8NjhUfMm92/DTF2THF_9707.p',cFN_THM_2_pme) ).

thf(f16,plain,
    ! [X0: b] :
      ( sK4
     != ( sK0 @ X0 ) ),
    inference(superposition,[status(thm)],[f13,f15]) ).

thf(f15,plain,
    ! [X2: b] :
      ( ( sK1 @ ( sK2 @ X2 ) )
      = X2 ),
    inference(cnf_transformation,[status(thm)],[f12]) ).

thf(f13,plain,
    ! [X7: a] :
      ( ( sK0 @ ( sK1 @ X7 ) )
     != sK4 ),
    inference(cnf_transformation,[status(thm)],[f12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SEU935^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12  % Command  : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.17/0.33  % Computer : n009.cluster.edu
% 0.17/0.33  % Model    : x86_64 x86_64
% 0.17/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33  % Memory   : 8042.1875MB
% 0.17/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33  % CPULimit : 300
% 0.17/0.33  % WCLimit  : 300
% 0.17/0.33  % DateTime : Tue Feb 24 12:36:25 EST 2026
% 0.17/0.33  % CPUTime  : 
% 0.17/0.33  Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.19/0.45  ---- Original DTF file ---
% 0.19/0.45  thf(spec,logic,$$dhol).
% 0.19/0.45  %------------------------------------------------------------------------------
% 0.19/0.45  % File     : SEU935^5 : TPTP v9.2.1. Released v4.0.0.
% 0.19/0.45  % Domain   : Set Theory (Functions)
% 0.19/0.45  % Problem  : TPS problem FN-THM-2
% 0.19/0.45  % Version  : Especial.
% 0.19/0.45  % English  :
% 0.19/0.45  
% 0.19/0.45  % Refs     : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.19/0.45  % Source   : [Bro09]
% 0.19/0.45  % Names    : tps_0305 [Bro09]
% 0.19/0.45  %          : FN-THM-2 [TPS]
% 0.19/0.45  
% 0.19/0.45  % Status   : Theorem
% 0.19/0.45  % Rating   : 0.00 v7.4.0, 0.11 v7.2.0, 0.00 v7.1.0, 0.12 v7.0.0, 0.14 v6.4.0, 0.17 v6.3.0, 0.20 v6.2.0, 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 v4.0.0
% 0.19/0.45  % Syntax   : Number of formulae    :    4 (   0 unt;   3 typ;   0 def)
% 0.19/0.45  %            Number of atoms       :    3 (   3 equ;   0 cnn)
% 0.19/0.45  %            Maximal formula atoms :    3 (   3 avg)
% 0.19/0.45  %            Number of connectives :    6 (   0   ~;   0   |;   1   &;   4   @)
% 0.19/0.45  %                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
% 0.19/0.45  %            Maximal formula depth :    7 (   7 avg)
% 0.19/0.45  %            Number of types       :    3 (   3 usr)
% 0.19/0.45  %            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
% 0.19/0.45  %            Number of symbols     :    1 (   0 usr;   0 con; 2-2 aty)
% 0.19/0.45  %            Number of variables   :    8 (   0   ^;   5   !;   3   ?;   8   :)
% 0.19/0.45  % SPC      : TH0_THM_EQU_NAR
% 0.19/0.45  
% 0.19/0.45  % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.19/0.45  %            project in the Department of Mathematical Sciences at Carnegie
% 0.19/0.45  %            Mellon University. Distributed under the Creative Commons copyleft
% 0.19/0.45  %            license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.19/0.45  %          : Polymorphic definitions expanded.
% 0.19/0.45  %------------------------------------------------------------------------------
% 0.19/0.45  thf(a_type,type,
% 0.19/0.45      a: $tType ).
% 0.19/0.45  
% 0.19/0.45  thf(b_type,type,
% 0.19/0.45      b: $tType ).
% 0.19/0.45  
% 0.19/0.45  thf(c_type,type,
% 0.19/0.45      c: $tType ).
% 0.19/0.45  
% 0.19/0.45  thf(cFN_THM_2_pme,conjecture,
% 0.19/0.45      ! [F: a > b,G: b > c] :
% 0.19/0.45        ( ( ! [Y: b] :
% 0.19/0.45            ? [X: a] :
% 0.19/0.45              ( ( F @ X )
% 0.19/0.45              = Y )
% 0.19/0.45          & ! [Y: c] :
% 0.19/0.45            ? [X: b] :
% 0.19/0.45              ( ( G @ X )
% 0.19/0.45              = Y ) )
% 0.19/0.45       => ! [Y: c] :
% 0.19/0.45          ? [X: a] :
% 0.19/0.45            ( ( G @ ( F @ X ) )
% 0.19/0.45            = Y ) ) ).
% 0.19/0.45  
% 0.19/0.45  %------------------------------------------------------------------------------
% 0.19/0.45  ------------------------
% 1.48/1.27  ---- Embedded in THF ---
% 1.48/1.27  %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.48/1.27  %%% Generated on Tue Feb 24 12:36:26 EST 2026
% 1.48/1.27  %%% using '$$dhol' embedding, version 1.3.0.
% 1.48/1.27  %%% Logic specification used:
% 1.48/1.27  %%% thf(spec, logic, $$dhol).
% 1.48/1.27  
% 1.48/1.27  % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.8NjhUfMm92/DTF2DTF9707.p
% See solution above
% 1.48/1.27  ------------------------
% 1.48/1.28  ---- Cleaned THF ---
% 1.48/1.28  thf(a_type,type,
% 1.48/1.28      a: $tType ).
% 1.48/1.28  
% 1.48/1.28  thf(b_type,type,
% 1.48/1.28      b: $tType ).
% 1.48/1.28  
% 1.48/1.28  thf(c_type,type,
% 1.48/1.28      c: $tType ).
% 1.48/1.28  
% 1.48/1.28  thf(cFN_THM_2_pme,conjecture,
% 1.48/1.28      ! [F: a > b,G: b > c] :
% 1.48/1.28        ( ( ! [Y: b] :
% 1.48/1.28            ? [X: a] :
% 1.48/1.28              ( ( F @ X )
% 1.48/1.28              = Y )
% 1.48/1.28          & ! [Y: c] :
% 1.48/1.28            ? [X: b] :
% 1.48/1.28              ( ( G @ X )
% 1.48/1.28              = Y ) )
% 1.48/1.28       => ! [Y: c] :
% 1.48/1.28          ? [X: a] :
% 1.48/1.28            ( ( G @ ( F @ X ) )
% 1.48/1.28            = Y ) ) ).
% 1.48/1.28  ------------------------
% 1.63/1.30  % (9888)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_9707 for (2999ds/183Mi)
% 1.63/1.30  % (9893)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_9707 for (2999ds/2Mi)
% 1.63/1.30  % (9893)Instruction limit reached!
% 1.63/1.30  % (9893)------------------------------
% 1.63/1.30  % (9893)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.30  % (9888)First to succeed.
% 1.63/1.30  % (9894)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_9707 for (2999ds/275Mi)
% 1.63/1.30  % (9893)Termination reason: Unknown
% 1.63/1.30  % (9893)Termination phase: Saturation
% 1.63/1.30  
% 1.63/1.30  % (9893)Memory used [KB]: 5500
% 1.63/1.30  % (9893)Time elapsed: 0.003 s
% 1.63/1.30  % (9893)Instructions burned: 3 (million)
% 1.63/1.30  % (9893)------------------------------
% 1.63/1.30  % (9893)------------------------------
% 1.63/1.30  % (9895)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_9707 for (2999ds/18Mi)
% 1.63/1.30  % (9890)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_9707 for (2999ds/4Mi)
% 1.63/1.30  % (9894)Also succeeded, but the first one will report.
% 1.63/1.30  % (9888)Refutation found. Thanks to Tanya!
% 1.63/1.30  % SZS status Theorem for DTF2THF_9707
% 1.63/1.30  % SZS output start Proof for DTF2THF_9707
% 1.63/1.30  thf(type_def_5, type, a: $tType).
% 1.63/1.30  thf(type_def_6, type, b: $tType).
% 1.63/1.30  thf(type_def_8, type, c: $tType).
% 1.63/1.30  thf(func_def_0, type, a: $tType).
% 1.63/1.30  thf(func_def_1, type, b: $tType).
% 1.63/1.30  thf(func_def_2, type, c: $tType).
% 1.63/1.30  thf(func_def_6, type, sK0: b > c).
% 1.63/1.30  thf(func_def_7, type, sK1: a > b).
% 1.63/1.30  thf(func_def_8, type, sK2: b > a).
% 1.63/1.30  thf(func_def_9, type, sK3: c > b).
% 1.63/1.30  thf(func_def_10, type, sK4: c).
% 1.63/1.30  thf(f18,plain,(
% 1.63/1.30    $false),
% 1.63/1.30    inference(equality_resolution,[status(thm)],[f17])).
% 1.63/1.30  thf(f17,plain,(
% 1.63/1.30    ( ! [X0 : c] : ((sK4 != X0)) )),
% 1.63/1.30    inference(superposition,[status(thm)],[f16,f14])).
% 1.63/1.30  thf(f14,plain,(
% 1.63/1.30    ( ! [X4 : c] : (((sK0 @ (sK3 @ X4)) = X4)) )),
% 1.63/1.30    inference(cnf_transformation,[status(thm)],[f12])).
% 1.63/1.30  thf(f12,plain,(
% 1.63/1.30    ! [X2 : b] : ((sK1 @ (sK2 @ X2)) = X2) & ! [X4 : c] : ((sK0 @ (sK3 @ X4)) = X4) & ! [X7 : a] : ((sK0 @ (sK1 @ X7)) != sK4)),
% 1.63/1.30    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f7,f11,f10,f9,f8])).
% 1.63/1.30  thf(f8,plain,(
% 1.63/1.30    ? [X0 : b > c,X1 : a > b] : (! [X2 : b] : ? [X3 : a] : ((X1 @ X3) = X2) & ! [X4 : c] : ? [X5 : b] : ((X0 @ X5) = X4) & ? [X6 : c] : ! [X7 : a] : ((X0 @ (X1 @ X7)) != X6)) => (! [X2 : b] : ? [X3 : a] : ((sK1 @ X3) = X2) & ! [X4 : c] : ? [X5 : b] : ((sK0 @ X5) = X4) & ? [X6 : c] : ! [X7 : a] : ((sK0 @ (sK1 @ X7)) != X6))),
% 1.63/1.30    introduced(definition,[],[choice_axiom])).
% 1.63/1.30  thf(f9,plain,(
% 1.63/1.30    ! [X2 : b] : (? [X3 : a] : ((sK1 @ X3) = X2) => ((sK1 @ (sK2 @ X2)) = X2))),
% 1.63/1.30    introduced(definition,[],[choice_axiom])).
% 1.63/1.30  thf(f10,plain,(
% 1.63/1.30    ! [X4 : c] : (? [X5 : b] : ((sK0 @ X5) = X4) => ((sK0 @ (sK3 @ X4)) = X4))),
% 1.63/1.30    introduced(definition,[],[choice_axiom])).
% 1.63/1.30  thf(f11,plain,(
% 1.63/1.30    ? [X6 : c] : ! [X7 : a] : ((sK0 @ (sK1 @ X7)) != X6) => ! [X7 : a] : ((sK0 @ (sK1 @ X7)) != sK4)),
% 1.63/1.30    introduced(definition,[],[choice_axiom])).
% 1.63/1.30  thf(f7,plain,(
% 1.63/1.30    ? [X0 : b > c,X1 : a > b] : (! [X2 : b] : ? [X3 : a] : ((X1 @ X3) = X2) & ! [X4 : c] : ? [X5 : b] : ((X0 @ X5) = X4) & ? [X6 : c] : ! [X7 : a] : ((X0 @ (X1 @ X7)) != X6))),
% 1.63/1.30    inference(rectify,[status(thm)],[f6])).
% 1.63/1.30  thf(f6,plain,(
% 1.63/1.30    ? [X1 : b > c,X0 : a > b] : (! [X2 : b] : ? [X3 : a] : ((X0 @ X3) = X2) & ! [X4 : c] : ? [X5 : b] : ((X1 @ X5) = X4) & ? [X6 : c] : ! [X7 : a] : ((X1 @ (X0 @ X7)) != X6))),
% 1.63/1.30    inference(flattening,[status(thm)],[f5])).
% 1.63/1.30  thf(f5,plain,(
% 1.63/1.30    ? [X1 : b > c,X0 : a > b] : (? [X6 : c] : ! [X7 : a] : ((X1 @ (X0 @ X7)) != X6) & (! [X2 : b] : ? [X3 : a] : ((X0 @ X3) = X2) & ! [X4 : c] : ? [X5 : b] : ((X1 @ X5) = X4)))),
% 1.63/1.30    inference(ennf_transformation,[status(thm)],[f4])).
% 1.63/1.30  thf(f4,plain,(
% 1.63/1.30    ~! [X1 : b > c,X0 : a > b] : ((! [X2 : b] : ? [X3 : a] : ((X0 @ X3) = X2) & ! [X4 : c] : ? [X5 : b] : ((X1 @ X5) = X4)) => ! [X6 : c] : ? [X7 : a] : ((X1 @ (X0 @ X7)) = X6))),
% 1.63/1.30    inference(rectify,[status(thm)],[f2])).
% 1.63/1.30  thf(f2,negated_conjecture,(
% 1.63/1.30    ~! [X0 : a > b,X1 : b > c] : ((! [X2 : b] : ? [X3 : a] : ((X0 @ X3) = X2) & ! [X2 : c] : ? [X3 : b] : ((X1 @ X3) = X2)) => ! [X2 : c] : ? [X3 : a] : ((X1 @ (X0 @ X3)) = X2))),
% 1.63/1.30    inference(negated_conjecture,[status(cth)],[f1])).
% 1.63/1.30  thf(f1,conjecture,(
% 1.63/1.30    ! [X0 : a > b,X1 : b > c] : ((! [X2 : b] : ? [X3 : a] : ((X0 @ X3) = X2) & ! [X2 : c] : ? [X3 : b] : ((X1 @ X3) = X2)) => ! [X2 : c] : ? [X3 : a] : ((X1 @ (X0 @ X3)) = X2))),
% 1.63/1.30    file('/export/starexec/sandbox2/tmp/tmp.8NjhUfMm92/DTF2THF_9707.p',cFN_THM_2_pme)).
% 1.63/1.30  thf(f16,plain,(
% 1.63/1.30    ( ! [X0 : b] : ((sK4 != (sK0 @ X0))) )),
% 1.63/1.30    inference(superposition,[status(thm)],[f13,f15])).
% 1.63/1.30  thf(f15,plain,(
% 1.63/1.30    ( ! [X2 : b] : (((sK1 @ (sK2 @ X2)) = X2)) )),
% 1.63/1.30    inference(cnf_transformation,[status(thm)],[f12])).
% 1.63/1.30  thf(f13,plain,(
% 1.63/1.30    ( ! [X7 : a] : (((sK0 @ (sK1 @ X7)) != sK4)) )),
% 1.63/1.30    inference(cnf_transformation,[status(thm)],[f12])).
% 1.63/1.30  % SZS output end Proof for DTF2THF_9707
% 1.63/1.30  % (9888)------------------------------
% 1.63/1.30  % (9888)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.30  % (9888)Termination reason: Refutation
% 1.63/1.30  
% 1.63/1.30  % (9888)Memory used [KB]: 5500
% 1.63/1.30  % (9888)Time elapsed: 0.004 s
% 1.63/1.30  % (9888)Instructions burned: 2 (million)
% 1.63/1.30  % (9888)------------------------------
% 1.63/1.30  % (9888)------------------------------
% 1.63/1.30  % (9886)Success in time 0.019 s
%------------------------------------------------------------------------------