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DT2H2X---1.9.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : NUM730^1 : TPTP v9.2.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n018.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 09:24:27 AM UTC 2026

% Result   : Theorem 1.62s 1.30s
% Output   : Refutation 1.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   51 (  15 equ;   0 cnn)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives :  219 (   5   ~;   0   |;   0   &; 214   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  11 usr;   4 con; 0-3 aty)
%            Number of variables   :    8 (   0   ^;   8   !;   0   ?;   8   :)

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

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

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

thf(func_def_1,type,
    x: frac ).

thf(func_def_2,type,
    y: frac ).

thf(func_def_3,type,
    orec3: $o > $o > $o > $o ).

thf(func_def_4,type,
    nat: $tType ).

thf(func_def_5,type,
    ts: nat > nat > nat ).

thf(func_def_6,type,
    c1x: frac > nat ).

thf(func_def_7,type,
    c2y: frac > nat ).

thf(func_def_8,type,
    c1y: frac > nat ).

thf(func_def_9,type,
    c2x: frac > nat ).

thf(func_def_10,type,
    more: nat > nat > $o ).

thf(func_def_11,type,
    less: nat > nat > $o ).

thf(func_def_17,type,
    ph1: 
      !>[X0: $tType] : X0 ).

thf(f12,plain,
    $false,
    inference(subsumption_resolution,[status(thm)],[f11,f10]) ).

thf(f10,plain,
    ! [X0: nat,X1: nat] :
      ( ( orec3 @ ( X0 = X1 ) @ ( more @ X0 @ X1 ) @ ( less @ X0 @ X1 ) )
      = $true ),
    inference(cnf_transformation,[status(thm)],[f8]) ).

thf(f8,plain,
    ! [X0: nat,X1: nat] :
      ( ( orec3 @ ( X0 = X1 ) @ ( more @ X0 @ X1 ) @ ( less @ X0 @ X1 ) )
      = $true ),
    inference(fool_elimination,[status(thm)],[f7]) ).

thf(f7,plain,
    ! [X0: nat,X1: nat] : ( orec3 @ ( X0 = X1 ) @ ( more @ X0 @ X1 ) @ ( less @ X0 @ X1 ) ),
    inference(rectify,[status(thm)],[f1]) ).

thf(f1,axiom,
    ! [X0: nat,X1: nat] : ( orec3 @ ( X0 = X1 ) @ ( more @ X0 @ X1 ) @ ( less @ X0 @ X1 ) ),
    file('/export/starexec/sandbox/tmp/tmp.gTU3WEJUbw/DTF2THF_5346.p',satz10) ).

thf(f11,plain,
    ( ( orec3
      @ ( ( ts @ ( c1x @ x ) @ ( c2y @ y ) )
        = ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
      @ ( more @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
      @ ( less @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) ) )
   != $true ),
    inference(cnf_transformation,[status(thm)],[f9]) ).

thf(f9,plain,
    ( ( orec3
      @ ( ( ts @ ( c1x @ x ) @ ( c2y @ y ) )
        = ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
      @ ( more @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
      @ ( less @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) ) )
   != $true ),
    inference(flattening,[status(thm)],[f6]) ).

thf(f6,plain,
    ( ( orec3
      @ ( ( ts @ ( c1x @ x ) @ ( c2y @ y ) )
        = ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
      @ ( more @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
      @ ( less @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) ) )
   != $true ),
    inference(fool_elimination,[status(thm)],[f5]) ).

thf(f5,plain,
    ~ ( orec3
      @ ( ( ts @ ( c1x @ x ) @ ( c2y @ y ) )
        = ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
      @ ( more @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
      @ ( less @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) ) ),
    inference(rectify,[status(thm)],[f3]) ).

thf(f3,negated_conjecture,
    ~ ( orec3
      @ ( ( ts @ ( c1x @ x ) @ ( c2y @ y ) )
        = ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
      @ ( more @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
      @ ( less @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f2]) ).

thf(f2,conjecture,
    ( orec3
    @ ( ( ts @ ( c1x @ x ) @ ( c2y @ y ) )
      = ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
    @ ( more @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
    @ ( less @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.gTU3WEJUbw/DTF2THF_5346.p',satz41) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM730^1 : TPTP v9.2.1. Released v3.7.0.
% 0.13/0.13  % Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.34  % Computer : n018.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Feb 24 11:12:16 EST 2026
% 0.17/0.34  % CPUTime  : 
% 0.17/0.34  Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/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     : NUM730^1 : TPTP v9.2.1. Released v3.7.0.
% 0.31/0.46  % Domain   : Number Theory
% 0.31/0.46  % Problem  : Landau theorem 41
% 0.31/0.46  % Version  : Especial.
% 0.31/0.46  % English  : orec3 (ts (1x x) (2y y) = ts (1y y) (2x x)) (more (ts (1x x)
% 0.31/0.46  %            (2y y)) (ts (1y y) (2x x))) (less (ts (1x x) (2y y)) (ts (1y y)
% 0.31/0.46  %            (2x x)))
% 0.31/0.46  
% 0.31/0.46  % Refs     : [Lan30] Landau (1930), Grundlagen der Analysis
% 0.31/0.46  %          : [vBJ79] van Benthem Jutting (1979), Checking Landau's "Grundla
% 0.31/0.46  %          : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.31/0.46  % Source   : [Bro09]
% 0.31/0.46  % Names    : satz41 [Lan30]
% 0.31/0.46  
% 0.31/0.46  % Status   : Theorem
% 0.31/0.46  %          : Without extensionality : Theorem
% 0.31/0.46  % Rating   : 0.00 v6.0.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v4.1.0, 0.00 v3.7.0
% 0.31/0.46  % Syntax   : Number of formulae    :   14 (   0 unt;  12 typ;   0 def)
% 0.31/0.46  %            Number of atoms       :    8 (   2 equ;   0 cnn)
% 0.31/0.46  %            Maximal formula atoms :    4 (   4 avg)
% 0.31/0.46  %            Number of connectives :   38 (   0   ~;   0   |;   0   &;  38   @)
% 0.31/0.46  %                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
% 0.31/0.46  %            Maximal formula depth :    8 (   8 avg)
% 0.31/0.46  %            Number of types       :    3 (   2 usr)
% 0.31/0.46  %            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
% 0.31/0.46  %            Number of symbols     :   11 (  10 usr;   2 con; 0-3 aty)
% 0.31/0.46  %            Number of variables   :    2 (   0   ^;   2   !;   0   ?;   2   :)
% 0.31/0.46  % SPC      : TH0_THM_EQU_NAR
% 0.31/0.46  
% 0.31/0.46  % Comments : 
% 0.31/0.46  %------------------------------------------------------------------------------
% 0.31/0.46  thf(frac_type,type,
% 0.31/0.46      frac: $tType ).
% 0.31/0.46  
% 0.31/0.46  thf(x,type,
% 0.31/0.46      x: frac ).
% 0.31/0.46  
% 0.31/0.46  thf(y,type,
% 0.31/0.46      y: frac ).
% 0.31/0.46  
% 0.31/0.46  thf(orec3,type,
% 0.31/0.46      orec3: $o > $o > $o > $o ).
% 0.31/0.46  
% 0.31/0.46  thf(nat_type,type,
% 0.31/0.46      nat: $tType ).
% 0.31/0.46  
% 0.31/0.46  thf(ts,type,
% 0.31/0.46      ts: nat > nat > nat ).
% 0.31/0.46  
% 0.31/0.46  thf(c1x,type,
% 0.31/0.46      c1x: frac > nat ).
% 0.31/0.46  
% 0.31/0.46  thf(c2y,type,
% 0.31/0.46      c2y: frac > nat ).
% 0.31/0.46  
% 0.31/0.46  thf(c1y,type,
% 0.31/0.46      c1y: frac > nat ).
% 0.31/0.46  
% 0.31/0.46  thf(c2x,type,
% 0.31/0.46      c2x: frac > nat ).
% 0.31/0.46  
% 0.31/0.46  thf(more,type,
% 0.31/0.46      more: nat > nat > $o ).
% 0.31/0.46  
% 0.31/0.46  thf(less,type,
% 0.31/0.46      less: nat > nat > $o ).
% 0.31/0.46  
% 0.31/0.46  thf(satz10,axiom,
% 0.31/0.46      ! [Xx: nat,Xy: nat] : ( orec3 @ ( Xx = Xy ) @ ( more @ Xx @ Xy ) @ ( less @ Xx @ Xy ) ) ).
% 0.31/0.46  
% 0.31/0.46  thf(satz41,conjecture,
% 0.31/0.46      ( orec3
% 0.31/0.46      @ ( ( ts @ ( c1x @ x ) @ ( c2y @ y ) )
% 0.31/0.46        = ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
% 0.31/0.46      @ ( more @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
% 0.31/0.46      @ ( less @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) ) ) ).
% 0.31/0.46  
% 0.31/0.46  %------------------------------------------------------------------------------
% 0.31/0.46  ------------------------
% 1.49/1.27  ---- Embedded in THF ---
% 1.49/1.27  %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.49/1.27  %%% Generated on Tue Feb 24 11:12:16 EST 2026
% 1.49/1.27  %%% using '$$dhol' embedding, version 1.3.0.
% 1.49/1.27  %%% Logic specification used:
% 1.49/1.27  %%% thf(spec, logic, $$dhol).
% 1.49/1.27  
% 1.49/1.27  % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.gTU3WEJUbw/DTF2DTF5346.p
% See solution above
% 1.49/1.27  ------------------------
% 1.49/1.28  ---- Cleaned THF ---
% 1.49/1.28  thf(frac_type,type,
% 1.49/1.28      frac: $tType ).
% 1.49/1.28  
% 1.49/1.28  thf(x,type,
% 1.49/1.28      x: frac ).
% 1.49/1.28  
% 1.49/1.28  thf(y,type,
% 1.49/1.28      y: frac ).
% 1.49/1.28  
% 1.49/1.28  thf(orec3,type,
% 1.49/1.28      orec3: $o > $o > $o > $o ).
% 1.49/1.28  
% 1.49/1.28  thf(nat_type,type,
% 1.49/1.28      nat: $tType ).
% 1.49/1.28  
% 1.49/1.28  thf(ts,type,
% 1.49/1.28      ts: nat > nat > nat ).
% 1.49/1.28  
% 1.49/1.28  thf(c1x,type,
% 1.49/1.28      c1x: frac > nat ).
% 1.49/1.28  
% 1.49/1.28  thf(c2y,type,
% 1.49/1.28      c2y: frac > nat ).
% 1.49/1.28  
% 1.49/1.28  thf(c1y,type,
% 1.49/1.28      c1y: frac > nat ).
% 1.49/1.28  
% 1.49/1.28  thf(c2x,type,
% 1.49/1.28      c2x: frac > nat ).
% 1.49/1.28  
% 1.49/1.28  thf(more,type,
% 1.49/1.28      more: nat > nat > $o ).
% 1.49/1.28  
% 1.49/1.28  thf(less,type,
% 1.49/1.28      less: nat > nat > $o ).
% 1.49/1.28  
% 1.49/1.28  thf(satz10,axiom,
% 1.49/1.28      ! [Xx: nat,Xy: nat] : ( orec3 @ ( Xx = Xy ) @ ( more @ Xx @ Xy ) @ ( less @ Xx @ Xy ) ) ).
% 1.49/1.28  
% 1.49/1.28  thf(satz41,conjecture,
% 1.49/1.28      ( orec3
% 1.49/1.28      @ ( ( ts @ ( c1x @ x ) @ ( c2y @ y ) )
% 1.49/1.28        = ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
% 1.49/1.28      @ ( more @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) )
% 1.49/1.28      @ ( less @ ( ts @ ( c1x @ x ) @ ( c2y @ y ) ) @ ( ts @ ( c1y @ y ) @ ( c2x @ x ) ) ) ) ).
% 1.49/1.28  ------------------------
% 1.49/1.30  % (5638)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_5346 for (2999ds/275Mi)
% 1.49/1.30  % (5636)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_5346 for (2999ds/2Mi)
% 1.62/1.30  % (5638)First to succeed.
% 1.62/1.30  % (5636)Also succeeded, but the first one will report.
% 1.62/1.30  % (5638)Refutation found. Thanks to Tanya!
% 1.62/1.30  % SZS status Theorem for DTF2THF_5346
% 1.62/1.30  % SZS output start Proof for DTF2THF_5346
% 1.62/1.30  thf(type_def_5, type, frac: $tType).
% 1.62/1.30  thf(type_def_7, type, nat: $tType).
% 1.62/1.30  thf(func_def_0, type, frac: $tType).
% 1.62/1.30  thf(func_def_1, type, x: frac).
% 1.62/1.30  thf(func_def_2, type, y: frac).
% 1.62/1.30  thf(func_def_3, type, orec3: $o > $o > $o > $o).
% 1.62/1.30  thf(func_def_4, type, nat: $tType).
% 1.62/1.30  thf(func_def_5, type, ts: nat > nat > nat).
% 1.62/1.30  thf(func_def_6, type, c1x: frac > nat).
% 1.62/1.30  thf(func_def_7, type, c2y: frac > nat).
% 1.62/1.30  thf(func_def_8, type, c1y: frac > nat).
% 1.62/1.30  thf(func_def_9, type, c2x: frac > nat).
% 1.62/1.30  thf(func_def_10, type, more: nat > nat > $o).
% 1.62/1.30  thf(func_def_11, type, less: nat > nat > $o).
% 1.62/1.30  thf(func_def_17, type, ph1: !>[X0: $tType]:(X0)).
% 1.62/1.30  thf(f12,plain,(
% 1.62/1.30    $false),
% 1.62/1.30    inference(subsumption_resolution,[status(thm)],[f11,f10])).
% 1.62/1.30  thf(f10,plain,(
% 1.62/1.30    ( ! [X0 : nat,X1 : nat] : (((orec3 @ (X0 = X1) @ (more @ X0 @ X1) @ (less @ X0 @ X1)) = $true)) )),
% 1.62/1.30    inference(cnf_transformation,[status(thm)],[f8])).
% 1.62/1.30  thf(f8,plain,(
% 1.62/1.30    ! [X0 : nat,X1 : nat] : ((orec3 @ (X0 = X1) @ (more @ X0 @ X1) @ (less @ X0 @ X1)) = $true)),
% 1.62/1.30    inference(fool_elimination,[status(thm)],[f7])).
% 1.62/1.30  thf(f7,plain,(
% 1.62/1.30    ! [X0 : nat,X1 : nat] : (orec3 @ (X0 = X1) @ (more @ X0 @ X1) @ (less @ X0 @ X1))),
% 1.62/1.30    inference(rectify,[status(thm)],[f1])).
% 1.62/1.30  thf(f1,axiom,(
% 1.62/1.30    ! [X0 : nat,X1 : nat] : (orec3 @ (X0 = X1) @ (more @ X0 @ X1) @ (less @ X0 @ X1))),
% 1.62/1.30    file('/export/starexec/sandbox/tmp/tmp.gTU3WEJUbw/DTF2THF_5346.p',satz10)).
% 1.62/1.30  thf(f11,plain,(
% 1.62/1.30    ((orec3 @ ((ts @ (c1x @ x) @ (c2y @ y)) = (ts @ (c1y @ y) @ (c2x @ x))) @ (more @ (ts @ (c1x @ x) @ (c2y @ y)) @ (ts @ (c1y @ y) @ (c2x @ x))) @ (less @ (ts @ (c1x @ x) @ (c2y @ y)) @ (ts @ (c1y @ y) @ (c2x @ x)))) != $true)),
% 1.62/1.30    inference(cnf_transformation,[status(thm)],[f9])).
% 1.62/1.30  thf(f9,plain,(
% 1.62/1.30    ((orec3 @ ((ts @ (c1x @ x) @ (c2y @ y)) = (ts @ (c1y @ y) @ (c2x @ x))) @ (more @ (ts @ (c1x @ x) @ (c2y @ y)) @ (ts @ (c1y @ y) @ (c2x @ x))) @ (less @ (ts @ (c1x @ x) @ (c2y @ y)) @ (ts @ (c1y @ y) @ (c2x @ x)))) != $true)),
% 1.62/1.30    inference(flattening,[status(thm)],[f6])).
% 1.62/1.30  thf(f6,plain,(
% 1.62/1.30    ~((orec3 @ ((ts @ (c1x @ x) @ (c2y @ y)) = (ts @ (c1y @ y) @ (c2x @ x))) @ (more @ (ts @ (c1x @ x) @ (c2y @ y)) @ (ts @ (c1y @ y) @ (c2x @ x))) @ (less @ (ts @ (c1x @ x) @ (c2y @ y)) @ (ts @ (c1y @ y) @ (c2x @ x)))) = $true)),
% 1.62/1.30    inference(fool_elimination,[status(thm)],[f5])).
% 1.62/1.30  thf(f5,plain,(
% 1.62/1.30    ~(orec3 @ ((ts @ (c1x @ x) @ (c2y @ y)) = (ts @ (c1y @ y) @ (c2x @ x))) @ (more @ (ts @ (c1x @ x) @ (c2y @ y)) @ (ts @ (c1y @ y) @ (c2x @ x))) @ (less @ (ts @ (c1x @ x) @ (c2y @ y)) @ (ts @ (c1y @ y) @ (c2x @ x))))),
% 1.62/1.30    inference(rectify,[status(thm)],[f3])).
% 1.62/1.30  thf(f3,negated_conjecture,(
% 1.62/1.30    ~(orec3 @ ((ts @ (c1x @ x) @ (c2y @ y)) = (ts @ (c1y @ y) @ (c2x @ x))) @ (more @ (ts @ (c1x @ x) @ (c2y @ y)) @ (ts @ (c1y @ y) @ (c2x @ x))) @ (less @ (ts @ (c1x @ x) @ (c2y @ y)) @ (ts @ (c1y @ y) @ (c2x @ x))))),
% 1.62/1.30    inference(negated_conjecture,[status(cth)],[f2])).
% 1.62/1.30  thf(f2,conjecture,(
% 1.62/1.30    (orec3 @ ((ts @ (c1x @ x) @ (c2y @ y)) = (ts @ (c1y @ y) @ (c2x @ x))) @ (more @ (ts @ (c1x @ x) @ (c2y @ y)) @ (ts @ (c1y @ y) @ (c2x @ x))) @ (less @ (ts @ (c1x @ x) @ (c2y @ y)) @ (ts @ (c1y @ y) @ (c2x @ x))))),
% 1.62/1.30    file('/export/starexec/sandbox/tmp/tmp.gTU3WEJUbw/DTF2THF_5346.p',satz41)).
% 1.62/1.30  % SZS output end Proof for DTF2THF_5346
% 1.62/1.30  % (5638)------------------------------
% 1.62/1.30  % (5638)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.30  % (5638)Termination reason: Refutation
% 1.62/1.30  
% 1.62/1.30  % (5638)Memory used [KB]: 5500
% 1.62/1.30  % (5638)Time elapsed: 0.002 s
% 1.62/1.30  % (5638)Instructions burned: 2 (million)
% 1.62/1.30  % (5638)------------------------------
% 1.62/1.30  % (5638)------------------------------
% 1.62/1.30  % (5632)Success in time 0.012 s
%------------------------------------------------------------------------------