TSTP Solution File: NUM469+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM469+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9QdI62lr5i true

% Computer : n016.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 Aug 31 12:41:40 EDT 2023

% Result   : Theorem 1.83s 1.41s
% Output   : Refutation 1.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   98 (  43 unt;  10 typ;   0 def)
%            Number of atoms       :  199 (  66 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  546 (  82   ~;  89   |;  12   &; 353   @)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :   49 (   0   ^;  48   !;   1   ?;  49   :)

% Comments : 
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
    aNaturalNumber0: $i > $o ).

thf(sdtsldt0_type,type,
    sdtsldt0: $i > $i > $i ).

thf(sdtpldt0_type,type,
    sdtpldt0: $i > $i > $i ).

thf(sdtasdt0_type,type,
    sdtasdt0: $i > $i > $i ).

thf(xl_type,type,
    xl: $i ).

thf(sz00_type,type,
    sz00: $i ).

thf(xn_type,type,
    xn: $i ).

thf(doDivides0_type,type,
    doDivides0: $i > $i > $o ).

thf(sk__1_type,type,
    sk__1: $i > $i > $i ).

thf(xm_type,type,
    xm: $i ).

thf(m_AddZero,axiom,
    ! [W0: $i] :
      ( ( aNaturalNumber0 @ W0 )
     => ( ( ( sdtpldt0 @ W0 @ sz00 )
          = W0 )
        & ( W0
          = ( sdtpldt0 @ sz00 @ W0 ) ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sdtpldt0 @ sz00 @ X0 ) )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(cnf,[status(esa)],[m_AddZero]) ).

thf(m__,conjecture,
    doDivides0 @ xl @ ( sdtpldt0 @ xm @ xn ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( doDivides0 @ xl @ ( sdtpldt0 @ xm @ xn ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl62,plain,
    ~ ( doDivides0 @ xl @ ( sdtpldt0 @ xm @ xn ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(m__1298,axiom,
    ( ( xl != sz00 )
   => ( ( sdtpldt0 @ xm @ xn )
      = ( sdtasdt0 @ xl @ ( sdtpldt0 @ ( sdtsldt0 @ xm @ xl ) @ ( sdtsldt0 @ xn @ xl ) ) ) ) ) ).

thf(zip_derived_cl61,plain,
    ( ( ( sdtpldt0 @ xm @ xn )
      = ( sdtasdt0 @ xl @ ( sdtpldt0 @ ( sdtsldt0 @ xm @ xl ) @ ( sdtsldt0 @ xn @ xl ) ) ) )
    | ( xl = sz00 ) ),
    inference(cnf,[status(esa)],[m__1298]) ).

thf(mDefDiv,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 ) )
     => ( ( doDivides0 @ W0 @ W1 )
      <=> ? [W2: $i] :
            ( ( W1
              = ( sdtasdt0 @ W0 @ W2 ) )
            & ( aNaturalNumber0 @ W2 ) ) ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( doDivides0 @ X0 @ X1 )
      | ~ ( aNaturalNumber0 @ X2 )
      | ( X1
       != ( sdtasdt0 @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[mDefDiv]) ).

thf(zip_derived_cl252,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ( doDivides0 @ X1 @ ( sdtasdt0 @ X1 @ X0 ) )
      | ~ ( aNaturalNumber0 @ ( sdtasdt0 @ X1 @ X0 ) )
      | ~ ( aNaturalNumber0 @ X1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl51]) ).

thf(mSortsB_02,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 ) )
     => ( aNaturalNumber0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB_02]) ).

thf(zip_derived_cl5925,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X1 )
      | ( doDivides0 @ X1 @ ( sdtasdt0 @ X1 @ X0 ) )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl252,zip_derived_cl5]) ).

thf(zip_derived_cl5958,plain,
    ( ( xl = sz00 )
    | ~ ( aNaturalNumber0 @ xl )
    | ( doDivides0 @ xl @ ( sdtpldt0 @ xm @ xn ) )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtsldt0 @ xm @ xl ) @ ( sdtsldt0 @ xn @ xl ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl61,zip_derived_cl5925]) ).

thf(m__1240,axiom,
    ( ( aNaturalNumber0 @ xn )
    & ( aNaturalNumber0 @ xm )
    & ( aNaturalNumber0 @ xl ) ) ).

thf(zip_derived_cl58,plain,
    aNaturalNumber0 @ xl,
    inference(cnf,[status(esa)],[m__1240]) ).

thf(zip_derived_cl62_001,plain,
    ~ ( doDivides0 @ xl @ ( sdtpldt0 @ xm @ xn ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5993,plain,
    ( ( xl = sz00 )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtsldt0 @ xm @ xl ) @ ( sdtsldt0 @ xn @ xl ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5958,zip_derived_cl58,zip_derived_cl62]) ).

thf(mSortsB,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 ) )
     => ( aNaturalNumber0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB]) ).

thf(zip_derived_cl6015,plain,
    ( ( xl = sz00 )
    | ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xm @ xl ) )
    | ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xl ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl5993,zip_derived_cl4]) ).

thf(m__1240_04,axiom,
    ( ( doDivides0 @ xl @ xn )
    & ( doDivides0 @ xl @ xm ) ) ).

thf(zip_derived_cl60,plain,
    doDivides0 @ xl @ xm,
    inference(cnf,[status(esa)],[m__1240_04]) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( X1
        = ( sdtasdt0 @ X0 @ ( sk__1 @ X1 @ X0 ) ) )
      | ~ ( doDivides0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefDiv]) ).

thf(zip_derived_cl534,plain,
    ( ~ ( aNaturalNumber0 @ xl )
    | ~ ( aNaturalNumber0 @ xm )
    | ( xm
      = ( sdtasdt0 @ xl @ ( sk__1 @ xm @ xl ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl49]) ).

thf(zip_derived_cl58_002,plain,
    aNaturalNumber0 @ xl,
    inference(cnf,[status(esa)],[m__1240]) ).

thf(zip_derived_cl57,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1240]) ).

thf(zip_derived_cl536,plain,
    ( xm
    = ( sdtasdt0 @ xl @ ( sk__1 @ xm @ xl ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl534,zip_derived_cl58,zip_derived_cl57]) ).

thf(mDefQuot,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 ) )
     => ( ( ( W0 != sz00 )
          & ( doDivides0 @ W0 @ W1 ) )
       => ! [W2: $i] :
            ( ( W2
              = ( sdtsldt0 @ W1 @ W0 ) )
          <=> ( ( aNaturalNumber0 @ W2 )
              & ( W1
                = ( sdtasdt0 @ W0 @ W2 ) ) ) ) ) ) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = sz00 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ X2 )
      | ( X1
       != ( sdtasdt0 @ X0 @ X2 ) )
      | ( X2
        = ( sdtsldt0 @ X1 @ X0 ) )
      | ~ ( doDivides0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefQuot]) ).

thf(zip_derived_cl51_003,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( doDivides0 @ X0 @ X1 )
      | ~ ( aNaturalNumber0 @ X2 )
      | ( X1
       != ( sdtasdt0 @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[mDefDiv]) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2
        = ( sdtsldt0 @ X1 @ X0 ) )
      | ( X1
       != ( sdtasdt0 @ X0 @ X2 ) )
      | ~ ( aNaturalNumber0 @ X2 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ( X0 = sz00 ) ),
    inference(clc,[status(thm)],[zip_derived_cl54,zip_derived_cl51]) ).

thf(zip_derived_cl714,plain,
    ! [X0: $i] :
      ( ( ( sk__1 @ xm @ xl )
        = ( sdtsldt0 @ X0 @ xl ) )
      | ( X0 != xm )
      | ~ ( aNaturalNumber0 @ ( sk__1 @ xm @ xl ) )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ xl )
      | ( xl = sz00 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl536,zip_derived_cl68]) ).

thf(zip_derived_cl60_004,plain,
    doDivides0 @ xl @ xm,
    inference(cnf,[status(esa)],[m__1240_04]) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( aNaturalNumber0 @ ( sk__1 @ X1 @ X0 ) )
      | ~ ( doDivides0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefDiv]) ).

thf(zip_derived_cl167,plain,
    ( ~ ( aNaturalNumber0 @ xl )
    | ~ ( aNaturalNumber0 @ xm )
    | ( aNaturalNumber0 @ ( sk__1 @ xm @ xl ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl50]) ).

thf(zip_derived_cl58_005,plain,
    aNaturalNumber0 @ xl,
    inference(cnf,[status(esa)],[m__1240]) ).

thf(zip_derived_cl57_006,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1240]) ).

thf(zip_derived_cl169,plain,
    aNaturalNumber0 @ ( sk__1 @ xm @ xl ),
    inference(demod,[status(thm)],[zip_derived_cl167,zip_derived_cl58,zip_derived_cl57]) ).

thf(zip_derived_cl58_007,plain,
    aNaturalNumber0 @ xl,
    inference(cnf,[status(esa)],[m__1240]) ).

thf(zip_derived_cl731,plain,
    ! [X0: $i] :
      ( ( ( sk__1 @ xm @ xl )
        = ( sdtsldt0 @ X0 @ xl ) )
      | ( X0 != xm )
      | ~ ( aNaturalNumber0 @ X0 )
      | ( xl = sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl714,zip_derived_cl169,zip_derived_cl58]) ).

thf(zip_derived_cl1600,plain,
    ( ( xl = sz00 )
    | ~ ( aNaturalNumber0 @ xm )
    | ( ( sk__1 @ xm @ xl )
      = ( sdtsldt0 @ xm @ xl ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl731]) ).

thf(zip_derived_cl57_008,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1240]) ).

thf(zip_derived_cl1601,plain,
    ( ( xl = sz00 )
    | ( ( sk__1 @ xm @ xl )
      = ( sdtsldt0 @ xm @ xl ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1600,zip_derived_cl57]) ).

thf(zip_derived_cl169_009,plain,
    aNaturalNumber0 @ ( sk__1 @ xm @ xl ),
    inference(demod,[status(thm)],[zip_derived_cl167,zip_derived_cl58,zip_derived_cl57]) ).

thf(zip_derived_cl1604,plain,
    ( ( xl = sz00 )
    | ( aNaturalNumber0 @ ( sdtsldt0 @ xm @ xl ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1601,zip_derived_cl169]) ).

thf(zip_derived_cl6021,plain,
    ( ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xl ) )
    | ( xl = sz00 ) ),
    inference(clc,[status(thm)],[zip_derived_cl6015,zip_derived_cl1604]) ).

thf(zip_derived_cl59,plain,
    doDivides0 @ xl @ xn,
    inference(cnf,[status(esa)],[m__1240_04]) ).

thf(zip_derived_cl49_010,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( X1
        = ( sdtasdt0 @ X0 @ ( sk__1 @ X1 @ X0 ) ) )
      | ~ ( doDivides0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefDiv]) ).

thf(zip_derived_cl535,plain,
    ( ~ ( aNaturalNumber0 @ xl )
    | ~ ( aNaturalNumber0 @ xn )
    | ( xn
      = ( sdtasdt0 @ xl @ ( sk__1 @ xn @ xl ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl49]) ).

thf(zip_derived_cl58_011,plain,
    aNaturalNumber0 @ xl,
    inference(cnf,[status(esa)],[m__1240]) ).

thf(zip_derived_cl56,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__1240]) ).

thf(zip_derived_cl537,plain,
    ( xn
    = ( sdtasdt0 @ xl @ ( sk__1 @ xn @ xl ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl535,zip_derived_cl58,zip_derived_cl56]) ).

thf(zip_derived_cl68_012,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2
        = ( sdtsldt0 @ X1 @ X0 ) )
      | ( X1
       != ( sdtasdt0 @ X0 @ X2 ) )
      | ~ ( aNaturalNumber0 @ X2 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ( X0 = sz00 ) ),
    inference(clc,[status(thm)],[zip_derived_cl54,zip_derived_cl51]) ).

thf(zip_derived_cl715,plain,
    ! [X0: $i] :
      ( ( ( sk__1 @ xn @ xl )
        = ( sdtsldt0 @ X0 @ xl ) )
      | ( X0 != xn )
      | ~ ( aNaturalNumber0 @ ( sk__1 @ xn @ xl ) )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ xl )
      | ( xl = sz00 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl537,zip_derived_cl68]) ).

thf(zip_derived_cl59_013,plain,
    doDivides0 @ xl @ xn,
    inference(cnf,[status(esa)],[m__1240_04]) ).

thf(zip_derived_cl50_014,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( aNaturalNumber0 @ ( sk__1 @ X1 @ X0 ) )
      | ~ ( doDivides0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefDiv]) ).

thf(zip_derived_cl168,plain,
    ( ~ ( aNaturalNumber0 @ xl )
    | ~ ( aNaturalNumber0 @ xn )
    | ( aNaturalNumber0 @ ( sk__1 @ xn @ xl ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl50]) ).

thf(zip_derived_cl58_015,plain,
    aNaturalNumber0 @ xl,
    inference(cnf,[status(esa)],[m__1240]) ).

thf(zip_derived_cl56_016,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__1240]) ).

thf(zip_derived_cl170,plain,
    aNaturalNumber0 @ ( sk__1 @ xn @ xl ),
    inference(demod,[status(thm)],[zip_derived_cl168,zip_derived_cl58,zip_derived_cl56]) ).

thf(zip_derived_cl58_017,plain,
    aNaturalNumber0 @ xl,
    inference(cnf,[status(esa)],[m__1240]) ).

thf(zip_derived_cl732,plain,
    ! [X0: $i] :
      ( ( ( sk__1 @ xn @ xl )
        = ( sdtsldt0 @ X0 @ xl ) )
      | ( X0 != xn )
      | ~ ( aNaturalNumber0 @ X0 )
      | ( xl = sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl715,zip_derived_cl170,zip_derived_cl58]) ).

thf(zip_derived_cl1750,plain,
    ( ( xl = sz00 )
    | ~ ( aNaturalNumber0 @ xn )
    | ( ( sk__1 @ xn @ xl )
      = ( sdtsldt0 @ xn @ xl ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl732]) ).

thf(zip_derived_cl56_018,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__1240]) ).

thf(zip_derived_cl1751,plain,
    ( ( xl = sz00 )
    | ( ( sk__1 @ xn @ xl )
      = ( sdtsldt0 @ xn @ xl ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1750,zip_derived_cl56]) ).

thf(zip_derived_cl170_019,plain,
    aNaturalNumber0 @ ( sk__1 @ xn @ xl ),
    inference(demod,[status(thm)],[zip_derived_cl168,zip_derived_cl58,zip_derived_cl56]) ).

thf(zip_derived_cl1754,plain,
    ( ( xl = sz00 )
    | ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xl ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1751,zip_derived_cl170]) ).

thf(zip_derived_cl6022,plain,
    xl = sz00,
    inference(clc,[status(thm)],[zip_derived_cl6021,zip_derived_cl1754]) ).

thf(zip_derived_cl6026,plain,
    ~ ( doDivides0 @ sz00 @ ( sdtpldt0 @ xm @ xn ) ),
    inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl6022]) ).

thf(zip_derived_cl536_020,plain,
    ( xm
    = ( sdtasdt0 @ xl @ ( sk__1 @ xm @ xl ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl534,zip_derived_cl58,zip_derived_cl57]) ).

thf(zip_derived_cl6022_021,plain,
    xl = sz00,
    inference(clc,[status(thm)],[zip_derived_cl6021,zip_derived_cl1754]) ).

thf(zip_derived_cl6022_022,plain,
    xl = sz00,
    inference(clc,[status(thm)],[zip_derived_cl6021,zip_derived_cl1754]) ).

thf(zip_derived_cl6031,plain,
    ( xm
    = ( sdtasdt0 @ sz00 @ ( sk__1 @ xm @ sz00 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl536,zip_derived_cl6022,zip_derived_cl6022]) ).

thf(m_MulZero,axiom,
    ! [W0: $i] :
      ( ( aNaturalNumber0 @ W0 )
     => ( ( ( sdtasdt0 @ W0 @ sz00 )
          = sz00 )
        & ( sz00
          = ( sdtasdt0 @ sz00 @ W0 ) ) ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ( ( sz00
        = ( sdtasdt0 @ sz00 @ X0 ) )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(cnf,[status(esa)],[m_MulZero]) ).

thf(zip_derived_cl6826,plain,
    ( ( sz00 = xm )
    | ~ ( aNaturalNumber0 @ ( sk__1 @ xm @ sz00 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl6031,zip_derived_cl15]) ).

thf(zip_derived_cl169_023,plain,
    aNaturalNumber0 @ ( sk__1 @ xm @ xl ),
    inference(demod,[status(thm)],[zip_derived_cl167,zip_derived_cl58,zip_derived_cl57]) ).

thf(zip_derived_cl6022_024,plain,
    xl = sz00,
    inference(clc,[status(thm)],[zip_derived_cl6021,zip_derived_cl1754]) ).

thf(zip_derived_cl6027,plain,
    aNaturalNumber0 @ ( sk__1 @ xm @ sz00 ),
    inference(demod,[status(thm)],[zip_derived_cl169,zip_derived_cl6022]) ).

thf(zip_derived_cl6859,plain,
    sz00 = xm,
    inference(demod,[status(thm)],[zip_derived_cl6826,zip_derived_cl6027]) ).

thf(zip_derived_cl6870,plain,
    ~ ( doDivides0 @ sz00 @ ( sdtpldt0 @ sz00 @ xn ) ),
    inference(demod,[status(thm)],[zip_derived_cl6026,zip_derived_cl6859]) ).

thf(zip_derived_cl6887,plain,
    ( ~ ( aNaturalNumber0 @ xn )
    | ~ ( doDivides0 @ sz00 @ xn ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl6870]) ).

thf(zip_derived_cl56_025,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__1240]) ).

thf(zip_derived_cl59_026,plain,
    doDivides0 @ xl @ xn,
    inference(cnf,[status(esa)],[m__1240_04]) ).

thf(zip_derived_cl6022_027,plain,
    xl = sz00,
    inference(clc,[status(thm)],[zip_derived_cl6021,zip_derived_cl1754]) ).

thf(zip_derived_cl6024,plain,
    doDivides0 @ sz00 @ xn,
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl6022]) ).

thf(zip_derived_cl6888,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl6887,zip_derived_cl56,zip_derived_cl6024]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM469+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9QdI62lr5i true
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Aug 25 09:06:55 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.63  % Total configuration time : 435
% 0.20/0.63  % Estimated wc time : 1092
% 0.20/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.83/1.41  % Solved by fo/fo13.sh.
% 1.83/1.41  % done 659 iterations in 0.625s
% 1.83/1.41  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.83/1.41  % SZS output start Refutation
% See solution above
% 1.83/1.41  
% 1.83/1.41  
% 1.83/1.41  % Terminating...
% 1.83/1.49  % Runner terminated.
% 1.83/1.50  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------