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DT2H2X---1.9.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : SYO531^1 : TPTP v9.2.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n010.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 09:54:28 AM UTC 2026

% Result   : Theorem 1.80s 1.56s
% Output   : Refutation 1.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   30 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :  100 (  39 equ;   0 cnn)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :  201 (  13   ~;   7   |;   4   &; 158   @)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   71 (  71   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   7 usr;   3 con; 0-3 aty)
%                                         (   0  !!;  10  ??;   0 @@+;   0 @@-)
%            Number of variables   :   77 (  17   ^;  33   !;  27   ?;  77   :)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_0,type,
    eps: ( $i > $o ) > $i ).

thf(func_def_2,type,
    epsa: ( $i > $i > $o ) > $i ).

thf(func_def_10,type,
    sK0: ( ( $i > $i > $o ) > $i ) > $i > $i > $o ).

thf(func_def_11,type,
    sK1: ( ( $i > $i > $o ) > $i ) > $i ).

thf(func_def_12,type,
    sK2: ( ( $i > $i > $o ) > $i ) > $i ).

thf(func_def_14,type,
    ph4: 
      !>[X0: $tType] : X0 ).

thf(func_def_15,type,
    sK5: ( $i > $i > $o ) > $i ).

thf(f38,plain,
    $false,
    inference(trivial_inequality_removal,[status(thm)],[f31]) ).

thf(f31,plain,
    $true = $false,
    inference(superposition,[status(thm)],[f30,f18]) ).

thf(f18,plain,
    ! [X0: ( $i > $i > $o ) > $i] :
      ( $true
      = ( sK0 @ X0 @ ( sK1 @ X0 ) @ ( sK2 @ X0 ) ) ),
    inference(cnf_transformation,[status(thm)],[f16]) ).

thf(f16,plain,
    ! [X0: ( $i > $i > $o ) > $i] :
      ( ( $true
        = ( sK0 @ X0 @ ( sK1 @ X0 ) @ ( sK2 @ X0 ) ) )
      & ( $true
       != ( sK0 @ X0 @ ( epsa @ ( sK0 @ X0 ) ) @ ( X0 @ ( sK0 @ X0 ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f13,f15,f14]) ).

thf(f14,plain,
    ! [X0: ( $i > $i > $o ) > $i] :
      ( ? [X1: $i > $i > $o] :
          ( ? [X2: $i,X3: $i] :
              ( ( X1 @ X2 @ X3 )
              = $true )
          & ( $true
           != ( X1 @ ( epsa @ X1 ) @ ( X0 @ X1 ) ) ) )
     => ( ? [X3: $i,X2: $i] :
            ( $true
            = ( sK0 @ X0 @ X2 @ X3 ) )
        & ( $true
         != ( sK0 @ X0 @ ( epsa @ ( sK0 @ X0 ) ) @ ( X0 @ ( sK0 @ X0 ) ) ) ) ) ),
    introduced(definition,[],[choice_axiom]) ).

thf(f15,plain,
    ! [X0: ( $i > $i > $o ) > $i] :
      ( ? [X3: $i,X2: $i] :
          ( $true
          = ( sK0 @ X0 @ X2 @ X3 ) )
     => ( $true
        = ( sK0 @ X0 @ ( sK1 @ X0 ) @ ( sK2 @ X0 ) ) ) ),
    introduced(definition,[],[choice_axiom]) ).

thf(f13,plain,
    ! [X0: ( $i > $i > $o ) > $i] :
    ? [X1: $i > $i > $o] :
      ( ? [X2: $i,X3: $i] :
          ( ( X1 @ X2 @ X3 )
          = $true )
      & ( $true
       != ( X1 @ ( epsa @ X1 ) @ ( X0 @ X1 ) ) ) ),
    inference(ennf_transformation,[status(thm)],[f11]) ).

thf(f11,plain,
    ~ ? [X0: ( $i > $i > $o ) > $i] :
      ! [X1: $i > $i > $o] :
        ( ? [X2: $i,X3: $i] :
            ( ( X1 @ X2 @ X3 )
            = $true )
       => ( $true
          = ( X1 @ ( epsa @ X1 ) @ ( X0 @ X1 ) ) ) ),
    inference(fool_elimination,[status(thm)],[f10]) ).

thf(f10,plain,
    ~ ? [X0: ( $i > $i > $o ) > $i] :
      ! [X1: $i > $i > $o] :
        ( ? [X2: $i,X3: $i] : ( X1 @ X2 @ X3 )
       => ( X1 @ ( epsa @ X1 ) @ ( X0 @ X1 ) ) ),
    inference(rectify,[status(thm)],[f4]) ).

thf(f4,negated_conjecture,
    ~ ? [X4: ( $i > $i > $o ) > $i] :
      ! [X2: $i > $i > $o] :
        ( ? [X1: $i,X3: $i] : ( X2 @ X1 @ X3 )
       => ( X2 @ ( epsa @ X2 ) @ ( X4 @ X2 ) ) ),
    inference(negated_conjecture,[status(cth)],[f3]) ).

thf(f3,conjecture,
    ? [X4: ( $i > $i > $o ) > $i] :
    ! [X2: $i > $i > $o] :
      ( ? [X1: $i,X3: $i] : ( X2 @ X1 @ X3 )
     => ( X2 @ ( epsa @ X2 ) @ ( X4 @ X2 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.53Bz2fTrNh/DTF2THF_17227.p',conj) ).

thf(f30,plain,
    ! [X0: $i,X1: $i] :
      ( $false
      = ( sK0 @ sK5 @ X0 @ X1 ) ),
    inference(trivial_inequality_removal,[status(thm)],[f28]) ).

thf(f28,plain,
    ! [X0: $i,X1: $i] :
      ( ( $false
        = ( sK0 @ sK5 @ X0 @ X1 ) )
      | ( $true != $true ) ),
    inference(superposition,[status(thm)],[f17,f27]) ).

thf(f27,plain,
    ! [X2: $i,X0: $i > $i > $o,X1: $i] :
      ( ( $true
        = ( X0 @ ( epsa @ X0 ) @ ( sK5 @ X0 ) ) )
      | ( ( X0 @ X1 @ X2 )
        = $false ) ),
    inference(sigma_clausification,[status(thm)],[f26]) ).

thf(f26,plain,
    ! [X2: $i,X0: $i > $i > $o,X1: $i] :
      ( ( ( X0 @ X1 @ X2 )
        = $false )
      | ( ( ?? @ $i @ ( X0 @ ( epsa @ X0 ) ) )
        = $true ) ),
    inference(pi_clausification,[status(thm)],[f25]) ).

thf(f25,plain,
    ! [X0: $i > $i > $o,X1: $i] :
      ( ( ( ?? @ $i @ ( X0 @ X1 ) )
       != $true )
      | ( ( ?? @ $i @ ( X0 @ ( epsa @ X0 ) ) )
        = $true ) ),
    inference(beta_eta_normalization,[status(thm)],[f24]) ).

thf(f24,plain,
    ! [X0: $i > $i > $o,X1: $i] :
      ( ( $true
       != ( ^ [Y0: $i] : ( ?? @ $i @ ( X0 @ Y0 ) )
          @ X1 ) )
      | ( $true
        = ( ^ [Y0: $i] : ( ?? @ $i @ ( X0 @ Y0 ) )
          @ ( epsa @ X0 ) ) ) ),
    inference(superposition,[status(thm)],[f19,f23]) ).

thf(f23,plain,
    ! [X1: $i > $i > $o] :
      ( ( epsa @ X1 )
      = ( eps
        @ ^ [Y0: $i] : ( ?? @ $i @ ( X1 @ Y0 ) ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f22]) ).

thf(f22,plain,
    ! [X1: $i > $i > $o] :
      ( ( ^ [Y0: $i > $i > $o] :
            ( eps
            @ ^ [Y1: $i] : ( ?? @ $i @ ( Y0 @ Y1 ) ) )
        @ X1 )
      = ( epsa @ X1 ) ),
    inference(argument_congruence,[status(thm)],[f21]) ).

thf(f21,plain,
    ( epsa
    = ( ^ [Y0: $i > $i > $o] :
          ( eps
          @ ^ [Y1: $i] : ( ?? @ $i @ ( Y0 @ Y1 ) ) ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f20]) ).

thf(f20,plain,
    ( epsa
    = ( ^ [Y0: $i > $i > $o] :
          ( eps
          @ ^ [Y1: $i] :
              ( ?? @ $i
              @ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) ) ) ),
    inference(cnf_transformation,[status(thm)],[f9]) ).

thf(f9,plain,
    ( epsa
    = ( ^ [Y0: $i > $i > $o] :
          ( eps
          @ ^ [Y1: $i] :
              ( ?? @ $i
              @ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) ) ) ),
    inference(fool_elimination,[status(thm)],[f8]) ).

thf(f8,plain,
    ( ( ^ [X0: $i > $i > $o] :
          ( eps
          @ ^ [X1: $i] :
            ? [X2: $i] : ( X0 @ X1 @ X2 ) ) )
    = epsa ),
    inference(rectify,[status(thm)],[f2]) ).

thf(f2,axiom,
    ( ( ^ [X2: $i > $i > $o] :
          ( eps
          @ ^ [X1: $i] :
            ? [X3: $i] : ( X2 @ X1 @ X3 ) ) )
    = epsa ),
    file('/export/starexec/sandbox/tmp/tmp.53Bz2fTrNh/DTF2THF_17227.p',epsad) ).

thf(f19,plain,
    ! [X0: $i > $o,X1: $i] :
      ( ( ( X0 @ ( eps @ X0 ) )
        = $true )
      | ( ( X0 @ X1 )
       != $true ) ),
    inference(cnf_transformation,[status(thm)],[f12]) ).

thf(f12,plain,
    ! [X0: $i > $o] :
      ( ! [X1: $i] :
          ( ( X0 @ X1 )
         != $true )
      | ( ( X0 @ ( eps @ X0 ) )
        = $true ) ),
    inference(ennf_transformation,[status(thm)],[f7]) ).

thf(f7,plain,
    ! [X0: $i > $o] :
      ( ? [X1: $i] :
          ( ( X0 @ X1 )
          = $true )
     => ( ( X0 @ ( eps @ X0 ) )
        = $true ) ),
    inference(fool_elimination,[status(thm)],[f6]) ).

thf(f6,plain,
    ! [X0: $i > $o] :
      ( ? [X1: $i] : ( X0 @ X1 )
     => ( X0 @ ( eps @ X0 ) ) ),
    inference(rectify,[status(thm)],[f1]) ).

thf(f1,axiom,
    ! [X0: $i > $o] :
      ( ? [X1: $i] : ( X0 @ X1 )
     => ( X0 @ ( eps @ X0 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.53Bz2fTrNh/DTF2THF_17227.p',choiceax) ).

thf(f17,plain,
    ! [X0: ( $i > $i > $o ) > $i] :
      ( $true
     != ( sK0 @ X0 @ ( epsa @ ( sK0 @ X0 ) ) @ ( X0 @ ( sK0 @ X0 ) ) ) ),
    inference(cnf_transformation,[status(thm)],[f16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO531^1 : TPTP v9.2.1. Released v5.2.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.34  % Computer : n010.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 14:33:03 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
% 0.30/0.49  ---- Original DTF file ---
% 0.30/0.50  thf(spec,logic,$$dhol).
% 0.30/0.50  %------------------------------------------------------------------------------
% 0.30/0.50  % File     : SYO531^1 : TPTP v9.2.1. Released v5.2.0.
% 0.30/0.50  % Domain   : Syntactic
% 0.30/0.50  % Problem  : Binary choice on individuals 2
% 0.30/0.50  % Version  : Especial.
% 0.30/0.50  % English  : There is an Epsb such that epsa and Epsb work together to give an 
% 0.30/0.50  %            a and b such that R a b holds, if such an a and b exist for a 
% 0.30/0.50  %            binary relation R on $i. A choice operator on i can be used to
% 0.30/0.50  %            define a choice operator on i*i (Curried). In this version, the
% 0.30/0.50  %            first half of the solution is given.
% 0.30/0.50  
% 0.30/0.50  % Refs     : [Bac10] Backes (2010), Tableaux for Higher-Order Logic with If
% 0.30/0.50  %          : [Bro11] Brown E. (2011), Email to Geoff Sutcliffe
% 0.30/0.50  % Source   : [Bro11]
% 0.30/0.50  % Names    : CHOICE8 [Bro11]
% 0.30/0.50  
% 0.30/0.50  % Status   : Theorem
% 0.30/0.50  % Rating   : 0.67 v9.1.0, 0.62 v9.0.0, 0.60 v8.2.0, 0.77 v8.1.0, 0.73 v7.5.0, 0.71 v7.4.0, 0.89 v7.2.0, 0.88 v7.0.0, 0.86 v6.4.0, 0.83 v6.3.0, 0.80 v6.2.0, 0.71 v5.5.0, 1.00 v5.2.0
% 0.30/0.50  % Syntax   : Number of formulae    :    5 (   1 unt;   2 typ;   1 def)
% 0.30/0.50  %            Number of atoms       :    1 (   1 equ;   0 cnn)
% 0.30/0.50  %            Maximal formula atoms :    1 (   0 avg)
% 0.30/0.50  %            Number of connectives :   14 (   0   ~;   0   |;   0   &;  12   @)
% 0.30/0.50  %                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
% 0.30/0.50  %            Maximal formula depth :    8 (   5 avg)
% 0.30/0.50  %            Number of types       :    2 (   0 usr)
% 0.30/0.50  %            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
% 0.30/0.50  %            Number of symbols     :    3 (   2 usr;   0 con; 1-2 aty)
% 0.30/0.50  %            Number of variables   :    9 (   2   ^;   2   !;   5   ?;   9   :)
% 0.30/0.50  % SPC      : TH0_THM_EQU_NAR
% 0.30/0.50  
% 0.30/0.50  % Comments : 
% 0.30/0.50  %------------------------------------------------------------------------------
% 0.30/0.50  thf(eps,type,
% 0.30/0.50      eps: ( $i > $o ) > $i ).
% 0.30/0.50  
% 0.30/0.50  thf(choiceax,axiom,
% 0.30/0.50      ! [P: $i > $o] :
% 0.30/0.50        ( ? [X: $i] : ( P @ X )
% 0.30/0.50       => ( P @ ( eps @ P ) ) ) ).
% 0.30/0.50  
% 0.30/0.50  thf(epsa,type,
% 0.30/0.50      epsa: ( $i > $i > $o ) > $i ).
% 0.30/0.50  
% 0.30/0.50  thf(epsad,definition,
% 0.30/0.50      ( epsa
% 0.30/0.50      = ( ^ [R: $i > $i > $o] :
% 0.30/0.50            ( eps
% 0.30/0.50            @ ^ [X: $i] :
% 0.30/0.50              ? [Y: $i] : ( R @ X @ Y ) ) ) ) ).
% 0.30/0.50  
% 0.30/0.50  thf(conj,conjecture,
% 0.30/0.50      ? [Epsb: ( $i > $i > $o ) > $i] :
% 0.30/0.50      ! [R: $i > $i > $o] :
% 0.30/0.50        ( ? [X: $i,Y: $i] : ( R @ X @ Y )
% 0.30/0.50       => ( R @ ( epsa @ R ) @ ( Epsb @ R ) ) ) ).
% 0.30/0.50  
% 0.30/0.50  %------------------------------------------------------------------------------
% 0.30/0.50  ------------------------
% 1.64/1.47  ---- Embedded in THF ---
% 1.64/1.47  %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.64/1.47  %%% Generated on Tue Feb 24 14:33:04 EST 2026
% 1.64/1.47  %%% using '$$dhol' embedding, version 1.3.0.
% 1.64/1.47  %%% Logic specification used:
% 1.64/1.47  %%% thf(spec, logic, $$dhol).
% 1.64/1.47  
% 1.64/1.47  % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.53Bz2fTrNh/DTF2DTF17227.p
% See solution above
% 1.64/1.47  ------------------------
% 1.64/1.48  ---- Cleaned THF ---
% 1.64/1.48  thf(eps,type,
% 1.64/1.48      eps: ( $i > $o ) > $i ).
% 1.64/1.48  
% 1.64/1.48  thf(choiceax,axiom,
% 1.64/1.48      ! [P: $i > $o] :
% 1.64/1.48        ( ? [X: $i] : ( P @ X )
% 1.64/1.48       => ( P @ ( eps @ P ) ) ) ).
% 1.64/1.48  
% 1.64/1.48  thf(epsa,type,
% 1.64/1.48      epsa: ( $i > $i > $o ) > $i ).
% 1.64/1.48  
% 1.64/1.48  thf(epsad,definition,
% 1.64/1.48      ( epsa
% 1.64/1.48      = ( ^ [R: $i > $i > $o] :
% 1.64/1.48            ( eps
% 1.64/1.48            @ ^ [X: $i] :
% 1.64/1.48              ? [Y: $i] : ( R @ X @ Y ) ) ) ) ).
% 1.64/1.48  
% 1.64/1.48  thf(conj,conjecture,
% 1.64/1.48      ? [Epsb: ( $i > $i > $o ) > $i] :
% 1.64/1.48      ! [R: $i > $i > $o] :
% 1.64/1.48        ( ? [X: $i,Y: $i] : ( R @ X @ Y )
% 1.64/1.48       => ( R @ ( epsa @ R ) @ ( Epsb @ R ) ) ) ).
% 1.64/1.48  ------------------------
% 1.80/1.50  % (17348)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_17227 for (2999ds/2Mi)
% 1.80/1.50  % (17345)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_17227 for (2999ds/4Mi)
% 1.80/1.50  % (17346)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_17227 for (2999ds/27Mi)
% 1.80/1.50  % (17349)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_17227 for (2999ds/275Mi)
% 1.80/1.50  % (17350)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_17227 for (2999ds/18Mi)
% 1.80/1.50  % (17344)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_17227 for (2999ds/183Mi)
% 1.80/1.50  % (17347)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_17227 for (2999ds/2Mi)
% 1.80/1.50  % (17347)Instruction limit reached!
% 1.80/1.50  % (17347)------------------------------
% 1.80/1.50  % (17347)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.50  % (17347)Termination reason: Unknown
% 1.80/1.50  % (17347)Termination phase: Saturation
% 1.80/1.50  
% 1.80/1.50  % (17348)Instruction limit reached!
% 1.80/1.50  % (17348)------------------------------
% 1.80/1.50  % (17348)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.50  % (17348)Termination reason: Unknown
% 1.80/1.50  % (17348)Termination phase: Saturation
% 1.80/1.50  
% 1.80/1.50  % (17348)Memory used [KB]: 895
% 1.80/1.50  % (17348)Time elapsed: 0.003 s
% 1.80/1.50  % (17348)Instructions burned: 2 (million)
% 1.80/1.50  % (17348)------------------------------
% 1.80/1.50  % (17348)------------------------------
% 1.80/1.50  % (17347)Memory used [KB]: 895
% 1.80/1.50  % (17347)Time elapsed: 0.002 s
% 1.80/1.50  % (17347)Instructions burned: 2 (million)
% 1.80/1.50  % (17347)------------------------------
% 1.80/1.50  % (17347)------------------------------
% 1.80/1.50  % (17349)Refutation not found, incomplete strategy
% 1.80/1.50  % (17349)------------------------------
% 1.80/1.50  % (17349)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.50  % (17349)Termination reason: Refutation not found, incomplete strategy
% 1.80/1.50  
% 1.80/1.50  
% 1.80/1.50  % (17349)Memory used [KB]: 5500
% 1.80/1.50  % (17349)Time elapsed: 0.003 s
% 1.80/1.50  % (17349)Instructions burned: 2 (million)
% 1.80/1.50  % (17349)------------------------------
% 1.80/1.50  % (17349)------------------------------
% 1.80/1.50  % (17345)Instruction limit reached!
% 1.80/1.50  % (17345)------------------------------
% 1.80/1.50  % (17345)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.50  % (17345)Termination reason: Unknown
% 1.80/1.50  % (17345)Termination phase: Saturation
% 1.80/1.50  
% 1.80/1.50  % (17345)Memory used [KB]: 5500
% 1.80/1.50  % (17345)Time elapsed: 0.005 s
% 1.80/1.50  % (17345)Instructions burned: 5 (million)
% 1.80/1.50  % (17345)------------------------------
% 1.80/1.50  % (17345)------------------------------
% 1.80/1.51  % (17350)Instruction limit reached!
% 1.80/1.51  % (17350)------------------------------
% 1.80/1.51  % (17350)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.51  % (17350)Termination reason: Unknown
% 1.80/1.51  % (17350)Termination phase: Saturation
% 1.80/1.51  
% 1.80/1.51  % (17350)Memory used [KB]: 5628
% 1.80/1.51  % (17350)Time elapsed: 0.012 s
% 1.80/1.51  % (17350)Instructions burned: 19 (million)
% 1.80/1.51  % (17350)------------------------------
% 1.80/1.51  % (17350)------------------------------
% 1.80/1.51  % (17346)Instruction limit reached!
% 1.80/1.51  % (17346)------------------------------
% 1.80/1.51  % (17346)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.51  % (17346)Termination reason: Unknown
% 1.80/1.51  % (17346)Termination phase: Saturation
% 1.80/1.51  
% 1.80/1.51  % (17346)Memory used [KB]: 5628
% 1.80/1.51  % (17346)Time elapsed: 0.017 s
% 1.80/1.51  % (17346)Instructions burned: 27 (million)
% 1.80/1.51  % (17346)------------------------------
% 1.80/1.51  % (17346)------------------------------
% 1.80/1.52  % (17351)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_17227 for (2999ds/3Mi)
% 1.80/1.52  % (17352)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on DTF2THF_17227 for (2999ds/37Mi)
% 1.80/1.52  % (17353)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on DTF2THF_17227 for (2999ds/15Mi)
% 1.80/1.52  % (17354)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_17227 for (2999ds/3Mi)
% 1.80/1.52  % (17351)Instruction limit reached!
% 1.80/1.52  % (17351)------------------------------
% 1.80/1.52  % (17351)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.52  % (17351)Termination reason: Unknown
% 1.80/1.52  % (17351)Termination phase: Saturation
% 1.80/1.52  
% 1.80/1.52  % (17351)Memory used [KB]: 5500
% 1.80/1.52  % (17351)Time elapsed: 0.004 s
% 1.80/1.52  % (17351)Instructions burned: 4 (million)
% 1.80/1.52  % (17351)------------------------------
% 1.80/1.52  % (17351)------------------------------
% 1.80/1.52  % (17354)Instruction limit reached!
% 1.80/1.52  % (17354)------------------------------
% 1.80/1.52  % (17354)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.52  % (17354)Termination reason: Unknown
% 1.80/1.52  % (17354)Termination phase: Saturation
% 1.80/1.52  
% 1.80/1.52  % (17354)Memory used [KB]: 5500
% 1.80/1.52  % (17354)Time elapsed: 0.003 s
% 1.80/1.52  % (17354)Instructions burned: 3 (million)
% 1.80/1.52  % (17354)------------------------------
% 1.80/1.52  % (17354)------------------------------
% 1.80/1.52  % (17353)Refutation not found, incomplete strategy
% 1.80/1.52  % (17353)------------------------------
% 1.80/1.52  % (17353)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.52  % (17353)Termination reason: Refutation not found, incomplete strategy
% 1.80/1.52  
% 1.80/1.52  
% 1.80/1.52  % (17353)Memory used [KB]: 5500
% 1.80/1.52  % (17353)Time elapsed: 0.004 s
% 1.80/1.52  % (17353)Instructions burned: 4 (million)
% 1.80/1.52  % (17353)------------------------------
% 1.80/1.52  % (17353)------------------------------
% 1.80/1.52  % (17355)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_17227 for (2999ds/1041Mi)
% 1.80/1.53  % (17356)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_17227 for (2999ds/7Mi)
% 1.80/1.53  % (17356)Instruction limit reached!
% 1.80/1.53  % (17356)------------------------------
% 1.80/1.53  % (17356)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.53  % (17356)Termination reason: Unknown
% 1.80/1.53  % (17356)Termination phase: Saturation
% 1.80/1.53  
% 1.80/1.53  % (17356)Memory used [KB]: 1023
% 1.80/1.53  % (17356)Time elapsed: 0.006 s
% 1.80/1.53  % (17356)Instructions burned: 8 (million)
% 1.80/1.53  % (17356)------------------------------
% 1.80/1.53  % (17356)------------------------------
% 1.80/1.53  % (17352)Instruction limit reached!
% 1.80/1.53  % (17352)------------------------------
% 1.80/1.53  % (17352)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.53  % (17352)Termination reason: Unknown
% 1.80/1.53  % (17352)Termination phase: Saturation
% 1.80/1.53  
% 1.80/1.53  % (17352)Memory used [KB]: 5884
% 1.80/1.53  % (17352)Time elapsed: 0.020 s
% 1.80/1.53  % (17352)Instructions burned: 38 (million)
% 1.80/1.53  % (17352)------------------------------
% 1.80/1.53  % (17352)------------------------------
% 1.80/1.53  % (17357)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_17227 for (2999ds/16Mi)
% 1.80/1.53  % (17358)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on DTF2THF_17227 for (2999ds/3Mi)
% 1.80/1.54  % (17359)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_17227 for (2999ds/3Mi)
% 1.80/1.54  % (17358)Instruction limit reached!
% 1.80/1.54  % (17358)------------------------------
% 1.80/1.54  % (17358)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.54  % (17358)Termination reason: Unknown
% 1.80/1.54  % (17358)Termination phase: Saturation
% 1.80/1.54  
% 1.80/1.54  % (17358)Memory used [KB]: 5500
% 1.80/1.54  % (17358)Time elapsed: 0.003 s
% 1.80/1.54  % (17358)Instructions burned: 3 (million)
% 1.80/1.54  % (17358)------------------------------
% 1.80/1.54  % (17358)------------------------------
% 1.80/1.54  % (17359)Instruction limit reached!
% 1.80/1.54  % (17359)------------------------------
% 1.80/1.54  % (17359)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.54  % (17359)Termination reason: Unknown
% 1.80/1.54  % (17359)Termination phase: Saturation
% 1.80/1.54  
% 1.80/1.54  % (17359)Memory used [KB]: 1023
% 1.80/1.54  % (17359)Time elapsed: 0.003 s
% 1.80/1.54  % (17359)Instructions burned: 3 (million)
% 1.80/1.54  % (17359)------------------------------
% 1.80/1.54  % (17359)------------------------------
% 1.80/1.54  % (17355)Refutation not found, incomplete strategy
% 1.80/1.54  % (17355)------------------------------
% 1.80/1.54  % (17355)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.54  % (17355)Termination reason: Refutation not found, incomplete strategy
% 1.80/1.54  
% 1.80/1.54  
% 1.80/1.54  % (17355)Memory used [KB]: 5628
% 1.80/1.54  % (17355)Time elapsed: 0.018 s
% 1.80/1.54  % (17355)Instructions burned: 31 (million)
% 1.80/1.54  % (17355)------------------------------
% 1.80/1.54  % (17355)------------------------------
% 1.80/1.54  % (17357)Instruction limit reached!
% 1.80/1.54  % (17357)------------------------------
% 1.80/1.54  % (17357)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.54  % (17357)Termination reason: Unknown
% 1.80/1.54  % (17357)Termination phase: Saturation
% 1.80/1.54  
% 1.80/1.54  % (17357)Memory used [KB]: 5628
% 1.80/1.54  % (17357)Time elapsed: 0.011 s
% 1.80/1.54  % (17357)Instructions burned: 17 (million)
% 1.80/1.54  % (17357)------------------------------
% 1.80/1.54  % (17357)------------------------------
% 1.80/1.55  % (17360)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_17227 for (2999ds/7Mi)
% 1.80/1.55  % (17361)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_17227 for (2999ds/3Mi)
% 1.80/1.55  % (17361)Instruction limit reached!
% 1.80/1.55  % (17361)------------------------------
% 1.80/1.55  % (17361)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.55  % (17361)Termination reason: Unknown
% 1.80/1.55  % (17361)Termination phase: Saturation
% 1.80/1.55  
% 1.80/1.55  % (17361)Memory used [KB]: 5500
% 1.80/1.55  % (17361)Time elapsed: 0.003 s
% 1.80/1.55  % (17361)Instructions burned: 3 (million)
% 1.80/1.55  % (17361)------------------------------
% 1.80/1.55  % (17361)------------------------------
% 1.80/1.55  % (17362)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_17227 for (2999ds/4Mi)
% 1.80/1.55  % (17363)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_17227 for (2999ds/18Mi)
% 1.80/1.55  % (17360)Refutation not found, incomplete strategy
% 1.80/1.55  % (17360)------------------------------
% 1.80/1.55  % (17360)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.55  % (17360)Termination reason: Refutation not found, incomplete strategy
% 1.80/1.55  
% 1.80/1.55  
% 1.80/1.55  % (17360)Memory used [KB]: 5500
% 1.80/1.55  % (17360)Time elapsed: 0.005 s
% 1.80/1.55  % (17360)Instructions burned: 6 (million)
% 1.80/1.55  % (17360)------------------------------
% 1.80/1.55  % (17360)------------------------------
% 1.80/1.55  % (17362)Instruction limit reached!
% 1.80/1.55  % (17362)------------------------------
% 1.80/1.55  % (17362)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.55  % (17362)Termination reason: Unknown
% 1.80/1.55  % (17362)Termination phase: Saturation
% 1.80/1.55  
% 1.80/1.56  % (17362)Memory used [KB]: 5500
% 1.80/1.56  % (17362)Time elapsed: 0.004 s
% 1.80/1.56  % (17362)Instructions burned: 4 (million)
% 1.80/1.56  % (17362)------------------------------
% 1.80/1.56  % (17362)------------------------------
% 1.80/1.56  % (17363)First to succeed.
% 1.80/1.56  % (17363)Refutation found. Thanks to Tanya!
% 1.80/1.56  % SZS status Theorem for DTF2THF_17227
% 1.80/1.56  % SZS output start Proof for DTF2THF_17227
% 1.80/1.56  thf(func_def_0, type, eps: ($i > $o) > $i).
% 1.80/1.56  thf(func_def_2, type, epsa: ($i > $i > $o) > $i).
% 1.80/1.56  thf(func_def_10, type, sK0: (($i > $i > $o) > $i) > $i > $i > $o).
% 1.80/1.56  thf(func_def_11, type, sK1: (($i > $i > $o) > $i) > $i).
% 1.80/1.56  thf(func_def_12, type, sK2: (($i > $i > $o) > $i) > $i).
% 1.80/1.56  thf(func_def_14, type, ph4: !>[X0: $tType]:(X0)).
% 1.80/1.56  thf(func_def_15, type, sK5: ($i > $i > $o) > $i).
% 1.80/1.56  thf(f38,plain,(
% 1.80/1.56    $false),
% 1.80/1.56    inference(trivial_inequality_removal,[status(thm)],[f31])).
% 1.80/1.56  thf(f31,plain,(
% 1.80/1.56    ($true = $false)),
% 1.80/1.56    inference(superposition,[status(thm)],[f30,f18])).
% 1.80/1.56  thf(f18,plain,(
% 1.80/1.56    ( ! [X0 : ($i > $i > $o) > $i] : (($true = (sK0 @ X0 @ (sK1 @ X0) @ (sK2 @ X0)))) )),
% 1.80/1.56    inference(cnf_transformation,[status(thm)],[f16])).
% 1.80/1.56  thf(f16,plain,(
% 1.80/1.56    ! [X0 : ($i > $i > $o) > $i] : (($true = (sK0 @ X0 @ (sK1 @ X0) @ (sK2 @ X0))) & ($true != (sK0 @ X0 @ (epsa @ (sK0 @ X0)) @ (X0 @ (sK0 @ X0)))))),
% 1.80/1.56    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f13,f15,f14])).
% 1.80/1.56  thf(f14,plain,(
% 1.80/1.56    ! [X0 : ($i > $i > $o) > $i] : (? [X1 : $i > $i > $o] : (? [X2 : $i,X3 : $i] : ((X1 @ X2 @ X3) = $true) & ($true != (X1 @ (epsa @ X1) @ (X0 @ X1)))) => (? [X3 : $i,X2 : $i] : ($true = (sK0 @ X0 @ X2 @ X3)) & ($true != (sK0 @ X0 @ (epsa @ (sK0 @ X0)) @ (X0 @ (sK0 @ X0))))))),
% 1.80/1.56    introduced(definition,[],[choice_axiom])).
% 1.80/1.56  thf(f15,plain,(
% 1.80/1.56    ! [X0 : ($i > $i > $o) > $i] : (? [X3 : $i,X2 : $i] : ($true = (sK0 @ X0 @ X2 @ X3)) => ($true = (sK0 @ X0 @ (sK1 @ X0) @ (sK2 @ X0))))),
% 1.80/1.56    introduced(definition,[],[choice_axiom])).
% 1.80/1.56  thf(f13,plain,(
% 1.80/1.56    ! [X0 : ($i > $i > $o) > $i] : ? [X1 : $i > $i > $o] : (? [X2 : $i,X3 : $i] : ((X1 @ X2 @ X3) = $true) & ($true != (X1 @ (epsa @ X1) @ (X0 @ X1))))),
% 1.80/1.56    inference(ennf_transformation,[status(thm)],[f11])).
% 1.80/1.56  thf(f11,plain,(
% 1.80/1.56    ~? [X0 : ($i > $i > $o) > $i] : ! [X1 : $i > $i > $o] : (? [X2 : $i,X3 : $i] : ((X1 @ X2 @ X3) = $true) => ($true = (X1 @ (epsa @ X1) @ (X0 @ X1))))),
% 1.80/1.56    inference(fool_elimination,[status(thm)],[f10])).
% 1.80/1.56  thf(f10,plain,(
% 1.80/1.56    ~? [X0 : ($i > $i > $o) > $i] : ! [X1 : $i > $i > $o] : (? [X2 : $i,X3 : $i] : (X1 @ X2 @ X3) => (X1 @ (epsa @ X1) @ (X0 @ X1)))),
% 1.80/1.56    inference(rectify,[status(thm)],[f4])).
% 1.80/1.56  thf(f4,negated_conjecture,(
% 1.80/1.56    ~? [X4 : ($i > $i > $o) > $i] : ! [X2 : $i > $i > $o] : (? [X1 : $i,X3 : $i] : (X2 @ X1 @ X3) => (X2 @ (epsa @ X2) @ (X4 @ X2)))),
% 1.80/1.56    inference(negated_conjecture,[status(cth)],[f3])).
% 1.80/1.56  thf(f3,conjecture,(
% 1.80/1.56    ? [X4 : ($i > $i > $o) > $i] : ! [X2 : $i > $i > $o] : (? [X1 : $i,X3 : $i] : (X2 @ X1 @ X3) => (X2 @ (epsa @ X2) @ (X4 @ X2)))),
% 1.80/1.56    file('/export/starexec/sandbox/tmp/tmp.53Bz2fTrNh/DTF2THF_17227.p',conj)).
% 1.80/1.56  thf(f30,plain,(
% 1.80/1.56    ( ! [X0 : $i,X1 : $i] : (($false = (sK0 @ sK5 @ X0 @ X1))) )),
% 1.80/1.56    inference(trivial_inequality_removal,[status(thm)],[f28])).
% 1.80/1.56  thf(f28,plain,(
% 1.80/1.56    ( ! [X0 : $i,X1 : $i] : (($false = (sK0 @ sK5 @ X0 @ X1)) | ($true != $true)) )),
% 1.80/1.56    inference(superposition,[status(thm)],[f17,f27])).
% 1.80/1.56  thf(f27,plain,(
% 1.80/1.56    ( ! [X2 : $i,X0 : $i > $i > $o,X1 : $i] : (($true = (X0 @ (epsa @ X0) @ (sK5 @ X0))) | ((X0 @ X1 @ X2) = $false)) )),
% 1.80/1.56    inference(sigma_clausification,[status(thm)],[f26])).
% 1.80/1.56  thf(f26,plain,(
% 1.80/1.56    ( ! [X2 : $i,X0 : $i > $i > $o,X1 : $i] : (((X0 @ X1 @ X2) = $false) | ((?? @ $i @ (X0 @ (epsa @ X0))) = $true)) )),
% 1.80/1.56    inference(pi_clausification,[status(thm)],[f25])).
% 1.80/1.56  thf(f25,plain,(
% 1.80/1.56    ( ! [X0 : $i > $i > $o,X1 : $i] : (((?? @ $i @ (X0 @ X1)) != $true) | ((?? @ $i @ (X0 @ (epsa @ X0))) = $true)) )),
% 1.80/1.56    inference(beta_eta_normalization,[status(thm)],[f24])).
% 1.80/1.56  thf(f24,plain,(
% 1.80/1.56    ( ! [X0 : $i > $i > $o,X1 : $i] : (($true != ((^[Y0 : $i]: (?? @ $i @ (X0 @ Y0))) @ X1)) | ($true = ((^[Y0 : $i]: (?? @ $i @ (X0 @ Y0))) @ (epsa @ X0)))) )),
% 1.80/1.56    inference(superposition,[status(thm)],[f19,f23])).
% 1.80/1.56  thf(f23,plain,(
% 1.80/1.56    ( ! [X1 : $i > $i > $o] : (((epsa @ X1) = (eps @ (^[Y0 : $i]: (?? @ $i @ (X1 @ Y0)))))) )),
% 1.80/1.56    inference(beta_eta_normalization,[status(thm)],[f22])).
% 1.80/1.56  thf(f22,plain,(
% 1.80/1.56    ( ! [X1 : $i > $i > $o] : ((((^[Y0 : $i > $i > $o]: (eps @ (^[Y1 : $i]: (?? @ $i @ (Y0 @ Y1))))) @ X1) = (epsa @ X1))) )),
% 1.80/1.56    inference(argument_congruence,[status(thm)],[f21])).
% 1.80/1.56  thf(f21,plain,(
% 1.80/1.56    (epsa = (^[Y0 : $i > $i > $o]: (eps @ (^[Y1 : $i]: (?? @ $i @ (Y0 @ Y1))))))),
% 1.80/1.56    inference(beta_eta_normalization,[status(thm)],[f20])).
% 1.80/1.56  thf(f20,plain,(
% 1.80/1.56    (epsa = (^[Y0 : $i > $i > $o]: (eps @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))))),
% 1.80/1.56    inference(cnf_transformation,[status(thm)],[f9])).
% 1.80/1.56  thf(f9,plain,(
% 1.80/1.56    (epsa = (^[Y0 : $i > $i > $o]: (eps @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))))),
% 1.80/1.56    inference(fool_elimination,[status(thm)],[f8])).
% 1.80/1.56  thf(f8,plain,(
% 1.80/1.56    ((^[X0 : $i > $i > $o] : (eps @ (^[X1 : $i] : (? [X2 : $i] : (X0 @ X1 @ X2))))) = epsa)),
% 1.80/1.56    inference(rectify,[status(thm)],[f2])).
% 1.80/1.56  thf(f2,axiom,(
% 1.80/1.56    ((^[X2 : $i > $i > $o] : (eps @ (^[X1 : $i] : (? [X3 : $i] : (X2 @ X1 @ X3))))) = epsa)),
% 1.80/1.56    file('/export/starexec/sandbox/tmp/tmp.53Bz2fTrNh/DTF2THF_17227.p',epsad)).
% 1.80/1.56  thf(f19,plain,(
% 1.80/1.56    ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ (eps @ X0)) = $true) | ((X0 @ X1) != $true)) )),
% 1.80/1.56    inference(cnf_transformation,[status(thm)],[f12])).
% 1.80/1.56  thf(f12,plain,(
% 1.80/1.56    ! [X0 : $i > $o] : (! [X1 : $i] : ((X0 @ X1) != $true) | ((X0 @ (eps @ X0)) = $true))),
% 1.80/1.56    inference(ennf_transformation,[status(thm)],[f7])).
% 1.80/1.56  thf(f7,plain,(
% 1.80/1.56    ! [X0 : $i > $o] : (? [X1 : $i] : ((X0 @ X1) = $true) => ((X0 @ (eps @ X0)) = $true))),
% 1.80/1.56    inference(fool_elimination,[status(thm)],[f6])).
% 1.80/1.56  thf(f6,plain,(
% 1.80/1.56    ! [X0 : $i > $o] : (? [X1 : $i] : (X0 @ X1) => (X0 @ (eps @ X0)))),
% 1.80/1.56    inference(rectify,[status(thm)],[f1])).
% 1.80/1.56  thf(f1,axiom,(
% 1.80/1.56    ! [X0 : $i > $o] : (? [X1 : $i] : (X0 @ X1) => (X0 @ (eps @ X0)))),
% 1.80/1.56    file('/export/starexec/sandbox/tmp/tmp.53Bz2fTrNh/DTF2THF_17227.p',choiceax)).
% 1.80/1.56  thf(f17,plain,(
% 1.80/1.56    ( ! [X0 : ($i > $i > $o) > $i] : (($true != (sK0 @ X0 @ (epsa @ (sK0 @ X0)) @ (X0 @ (sK0 @ X0))))) )),
% 1.80/1.56    inference(cnf_transformation,[status(thm)],[f16])).
% 1.80/1.56  % SZS output end Proof for DTF2THF_17227
% 1.80/1.56  % (17363)------------------------------
% 1.80/1.56  % (17363)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.56  % (17363)Termination reason: Refutation
% 1.80/1.56  
% 1.80/1.56  % (17363)Memory used [KB]: 5500
% 1.80/1.56  % (17363)Time elapsed: 0.005 s
% 1.80/1.56  % (17363)Instructions burned: 4 (million)
% 1.80/1.56  % (17363)------------------------------
% 1.80/1.56  % (17363)------------------------------
% 1.80/1.56  % (17343)Success in time 0.065 s
%------------------------------------------------------------------------------