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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM594+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YpgjBRy8rT true

% Computer : n002.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 : Thu Oct  2 04:47:33 PM UTC 2025

% Result   : Theorem 33.33s 6.64s
% Output   : Refutation 33.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   30 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :   77 (  25 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  279 (  41   ~;  32   |;   8   &; 191   @)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   7 con; 0-3 aty)
%            Number of variables   :   27 (   0   ^;  24   !;   3   ?;  27   :)

% Comments : 
%------------------------------------------------------------------------------
thf(aSet0_type,type,
    aSet0: $i > $o ).

thf(szDzozmdt0_type,type,
    szDzozmdt0: $i > $i ).

thf(aFunction0_type,type,
    aFunction0: $i > $o ).

thf(slbdtsldtrb0_type,type,
    slbdtsldtrb0: $i > $i > $i ).

thf(xC_type,type,
    xC: $i ).

thf(szszuzczcdt0_type,type,
    szszuzczcdt0: $i > $i ).

thf(sdtlpdtrp0_type,type,
    sdtlpdtrp0: $i > $i > $i ).

thf(isCountable0_type,type,
    isCountable0: $i > $o ).

thf(xN_type,type,
    xN: $i ).

thf(xd_type,type,
    xd: $i ).

thf(aSubsetOf0_type,type,
    aSubsetOf0: $i > $i > $o ).

thf(xx_type,type,
    xx: $i ).

thf(szNzAzT0_type,type,
    szNzAzT0: $i ).

thf(sk__11_type,type,
    sk__11: $i > $i > $i > $i ).

thf(aElementOf0_type,type,
    aElementOf0: $i > $i > $o ).

thf(xk_type,type,
    xk: $i ).

thf(sdtlcdtrc0_type,type,
    sdtlcdtrc0: $i > $i > $i ).

thf(mSubRefl,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ( aSubsetOf0 @ W0 @ W0 ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] :
      ( ( aSubsetOf0 @ X0 @ X0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mSubRefl]) ).

thf(m__4781,axiom,
    aElementOf0 @ xx @ ( sdtlcdtrc0 @ xd @ ( szDzozmdt0 @ xd ) ) ).

thf(zip_derived_cl142,plain,
    aElementOf0 @ xx @ ( sdtlcdtrc0 @ xd @ ( szDzozmdt0 @ xd ) ),
    inference(cnf,[status(esa)],[m__4781]) ).

thf(m__4730,axiom,
    ( ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ szNzAzT0 )
       => ! [W1: $i] :
            ( ( ( aSet0 @ W1 )
              & ( aElementOf0 @ W1 @ ( slbdtsldtrb0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @ xk ) ) )
           => ( ( sdtlpdtrp0 @ xd @ W0 )
              = ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ W0 ) @ W1 ) ) ) )
    & ( ( szDzozmdt0 @ xd )
      = szNzAzT0 )
    & ( aFunction0 @ xd ) ) ).

thf(zip_derived_cl139,plain,
    ( ( szDzozmdt0 @ xd )
    = szNzAzT0 ),
    inference(cnf,[status(esa)],[m__4730]) ).

thf(zip_derived_cl1116,plain,
    aElementOf0 @ xx @ ( sdtlcdtrc0 @ xd @ szNzAzT0 ),
    inference(demod,[status(thm)],[zip_derived_cl142,zip_derived_cl139]) ).

thf(mDefSImg,axiom,
    ! [W0: $i] :
      ( ( aFunction0 @ W0 )
     => ! [W1: $i] :
          ( ( aSubsetOf0 @ W1 @ ( szDzozmdt0 @ W0 ) )
         => ! [W2: $i] :
              ( ( W2
                = ( sdtlcdtrc0 @ W0 @ W1 ) )
            <=> ( ( aSet0 @ W2 )
                & ! [W3: $i] :
                    ( ( aElementOf0 @ W3 @ W2 )
                  <=> ? [W4: $i] :
                        ( ( ( sdtlpdtrp0 @ W0 @ W4 )
                          = W3 )
                        & ( aElementOf0 @ W4 @ W1 ) ) ) ) ) ) ) ).

thf(zip_derived_cl98,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ ( szDzozmdt0 @ X1 ) )
      | ( X2
       != ( sdtlcdtrc0 @ X1 @ X0 ) )
      | ( aElementOf0 @ ( sk__11 @ X3 @ X0 @ X1 ) @ X0 )
      | ~ ( aElementOf0 @ X3 @ X2 )
      | ~ ( aFunction0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSImg]) ).

thf(zip_derived_cl1652,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aFunction0 @ X0 )
      | ( aElementOf0 @ ( sk__11 @ xx @ X1 @ X0 ) @ X1 )
      | ( ( sdtlcdtrc0 @ xd @ szNzAzT0 )
       != ( sdtlcdtrc0 @ X0 @ X1 ) )
      | ~ ( aSubsetOf0 @ X1 @ ( szDzozmdt0 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1116,zip_derived_cl98]) ).

thf(zip_derived_cl1116_001,plain,
    aElementOf0 @ xx @ ( sdtlcdtrc0 @ xd @ szNzAzT0 ),
    inference(demod,[status(thm)],[zip_derived_cl142,zip_derived_cl139]) ).

thf(zip_derived_cl99,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ ( szDzozmdt0 @ X1 ) )
      | ( X2
       != ( sdtlcdtrc0 @ X1 @ X0 ) )
      | ( ( sdtlpdtrp0 @ X1 @ ( sk__11 @ X3 @ X0 @ X1 ) )
        = X3 )
      | ~ ( aElementOf0 @ X3 @ X2 )
      | ~ ( aFunction0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSImg]) ).

thf(zip_derived_cl1752,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aFunction0 @ X0 )
      | ( ( sdtlpdtrp0 @ X0 @ ( sk__11 @ xx @ X1 @ X0 ) )
        = xx )
      | ( ( sdtlcdtrc0 @ xd @ szNzAzT0 )
       != ( sdtlcdtrc0 @ X0 @ X1 ) )
      | ~ ( aSubsetOf0 @ X1 @ ( szDzozmdt0 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1116,zip_derived_cl99]) ).

thf(m__,conjecture,
    ? [W0: $i] :
      ( ( ( sdtlpdtrp0 @ xd @ W0 )
        = xx )
      & ( aElementOf0 @ W0 @ szNzAzT0 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [W0: $i] :
        ( ( ( sdtlpdtrp0 @ xd @ W0 )
          = xx )
        & ( aElementOf0 @ W0 @ szNzAzT0 ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl143,plain,
    ! [X0: $i] :
      ( ( ( sdtlpdtrp0 @ xd @ X0 )
       != xx )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl34404,plain,
    ! [X0: $i] :
      ( ( xx != xx )
      | ~ ( aSubsetOf0 @ X0 @ ( szDzozmdt0 @ xd ) )
      | ( ( sdtlcdtrc0 @ xd @ szNzAzT0 )
       != ( sdtlcdtrc0 @ xd @ X0 ) )
      | ~ ( aFunction0 @ xd )
      | ~ ( aElementOf0 @ ( sk__11 @ xx @ X0 @ xd ) @ szNzAzT0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1752,zip_derived_cl143]) ).

thf(zip_derived_cl139_002,plain,
    ( ( szDzozmdt0 @ xd )
    = szNzAzT0 ),
    inference(cnf,[status(esa)],[m__4730]) ).

thf(zip_derived_cl138,plain,
    aFunction0 @ xd,
    inference(cnf,[status(esa)],[m__4730]) ).

thf(zip_derived_cl34462,plain,
    ! [X0: $i] :
      ( ( xx != xx )
      | ~ ( aSubsetOf0 @ X0 @ szNzAzT0 )
      | ( ( sdtlcdtrc0 @ xd @ szNzAzT0 )
       != ( sdtlcdtrc0 @ xd @ X0 ) )
      | ~ ( aElementOf0 @ ( sk__11 @ xx @ X0 @ xd ) @ szNzAzT0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl34404,zip_derived_cl139,zip_derived_cl138]) ).

thf(zip_derived_cl34463,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ ( sk__11 @ xx @ X0 @ xd ) @ szNzAzT0 )
      | ( ( sdtlcdtrc0 @ xd @ szNzAzT0 )
       != ( sdtlcdtrc0 @ xd @ X0 ) )
      | ~ ( aSubsetOf0 @ X0 @ szNzAzT0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl34462]) ).

thf(zip_derived_cl34480,plain,
    ( ~ ( aSubsetOf0 @ szNzAzT0 @ ( szDzozmdt0 @ xd ) )
    | ( ( sdtlcdtrc0 @ xd @ szNzAzT0 )
     != ( sdtlcdtrc0 @ xd @ szNzAzT0 ) )
    | ~ ( aFunction0 @ xd )
    | ~ ( aSubsetOf0 @ szNzAzT0 @ szNzAzT0 )
    | ( ( sdtlcdtrc0 @ xd @ szNzAzT0 )
     != ( sdtlcdtrc0 @ xd @ szNzAzT0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1652,zip_derived_cl34463]) ).

thf(zip_derived_cl139_003,plain,
    ( ( szDzozmdt0 @ xd )
    = szNzAzT0 ),
    inference(cnf,[status(esa)],[m__4730]) ).

thf(zip_derived_cl138_004,plain,
    aFunction0 @ xd,
    inference(cnf,[status(esa)],[m__4730]) ).

thf(zip_derived_cl34486,plain,
    ( ~ ( aSubsetOf0 @ szNzAzT0 @ szNzAzT0 )
    | ( ( sdtlcdtrc0 @ xd @ szNzAzT0 )
     != ( sdtlcdtrc0 @ xd @ szNzAzT0 ) )
    | ~ ( aSubsetOf0 @ szNzAzT0 @ szNzAzT0 )
    | ( ( sdtlcdtrc0 @ xd @ szNzAzT0 )
     != ( sdtlcdtrc0 @ xd @ szNzAzT0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl34480,zip_derived_cl139,zip_derived_cl138]) ).

thf(zip_derived_cl34487,plain,
    ~ ( aSubsetOf0 @ szNzAzT0 @ szNzAzT0 ),
    inference(simplify,[status(thm)],[zip_derived_cl34486]) ).

thf(zip_derived_cl34497,plain,
    ~ ( aSet0 @ szNzAzT0 ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl34487]) ).

thf(mNATSet,axiom,
    ( ( isCountable0 @ szNzAzT0 )
    & ( aSet0 @ szNzAzT0 ) ) ).

thf(zip_derived_cl40,plain,
    aSet0 @ szNzAzT0,
    inference(cnf,[status(esa)],[mNATSet]) ).

thf(zip_derived_cl34498,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl34497,zip_derived_cl40]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : NUM594+1 : TPTP v9.2.0. Released v4.0.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YpgjBRy8rT true
% 0.14/0.36  % Computer : n002.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Wed Oct  1 16:39:08 EDT 2025
% 0.14/0.37  % CPUTime  : 
% 0.14/0.37  % Running portfolio for 300 s
% 0.14/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37  % Number of cores: 8
% 0.14/0.37  % Python version: Python 3.6.8
% 0.14/0.37  % Running in FO mode
% 0.56/0.67  % Total configuration time : 435
% 0.56/0.67  % Estimated wc time : 1092
% 0.56/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.83  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 2.35/1.10  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 33.33/6.64  % Solved by fo/fo3_bce.sh.
% 33.33/6.64  % BCE start: 144
% 33.33/6.64  % BCE eliminated: 4
% 33.33/6.64  % PE start: 140
% 33.33/6.64  logic: eq
% 33.33/6.64  % PE eliminated: 0
% 33.33/6.64  % done 3519 iterations in 5.811s
% 33.33/6.64  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 33.33/6.64  % SZS output start Refutation
% See solution above
% 33.33/6.64  
% 33.33/6.64  
% 33.33/6.64  % Terminating...
% 34.02/6.84  % Runner terminated.
% 34.02/6.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------