TSTP Solution File: NUM517+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM517+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.v6Myml8hP5 true

% Computer : n003.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 12:42:03 EDT 2023

% Result   : Theorem 0.57s 0.99s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   95 (  32 unt;  16 typ;   0 def)
%            Number of atoms       :  210 (  50 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  699 (  93   ~;  97   |;  20   &; 475   @)
%                                         (   3 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  16 usr;   8 con; 0-2 aty)
%            Number of variables   :   44 (   0   ^;  43   !;   1   ?;  44   :)

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

thf(xp_type,type,
    xp: $i ).

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

thf(sz10_type,type,
    sz10: $i ).

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

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

thf(isPrime0_type,type,
    isPrime0: $i > $o ).

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

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

thf(iLess0_type,type,
    iLess0: $i > $i > $o ).

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

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

thf(xr_type,type,
    xr: $i ).

thf(sdtlseqdt0_type,type,
    sdtlseqdt0: $i > $i > $o ).

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

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

thf(m__2342,axiom,
    ( ( isPrime0 @ xr )
    & ( doDivides0 @ xr @ xk )
    & ( aNaturalNumber0 @ xr ) ) ).

thf(zip_derived_cl87,plain,
    isPrime0 @ xr,
    inference(cnf,[status(esa)],[m__2342]) ).

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_cl4_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB]) ).

thf(zip_derived_cl4_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB]) ).

thf(zip_derived_cl4_003,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB]) ).

thf(m__2487,axiom,
    doDivides0 @ xr @ xn ).

thf(zip_derived_cl95,plain,
    doDivides0 @ xr @ xn,
    inference(cnf,[status(esa)],[m__2487]) ).

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_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_cl715,plain,
    ( ~ ( aNaturalNumber0 @ xr )
    | ~ ( aNaturalNumber0 @ xn )
    | ( xn
      = ( sdtasdt0 @ xr @ ( sk__1 @ xn @ xr ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl49]) ).

thf(zip_derived_cl89,plain,
    aNaturalNumber0 @ xr,
    inference(cnf,[status(esa)],[m__2342]) ).

thf(m__1837,axiom,
    ( ( aNaturalNumber0 @ xp )
    & ( aNaturalNumber0 @ xm )
    & ( aNaturalNumber0 @ xn ) ) ).

thf(zip_derived_cl72,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl722,plain,
    ( xn
    = ( sdtasdt0 @ xr @ ( sk__1 @ xn @ xr ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl715,zip_derived_cl89,zip_derived_cl72]) ).

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,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_cl107,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_cl901,plain,
    ! [X0: $i] :
      ( ( ( sk__1 @ xn @ xr )
        = ( sdtsldt0 @ X0 @ xr ) )
      | ( X0 != xn )
      | ~ ( aNaturalNumber0 @ ( sk__1 @ xn @ xr ) )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ xr )
      | ( xr = sz00 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl722,zip_derived_cl107]) ).

thf(zip_derived_cl95_004,plain,
    doDivides0 @ xr @ xn,
    inference(cnf,[status(esa)],[m__2487]) ).

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_cl244,plain,
    ( ~ ( aNaturalNumber0 @ xr )
    | ~ ( aNaturalNumber0 @ xn )
    | ( aNaturalNumber0 @ ( sk__1 @ xn @ xr ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl50]) ).

thf(zip_derived_cl89_005,plain,
    aNaturalNumber0 @ xr,
    inference(cnf,[status(esa)],[m__2342]) ).

thf(zip_derived_cl72_006,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl249,plain,
    aNaturalNumber0 @ ( sk__1 @ xn @ xr ),
    inference(demod,[status(thm)],[zip_derived_cl244,zip_derived_cl89,zip_derived_cl72]) ).

thf(zip_derived_cl89_007,plain,
    aNaturalNumber0 @ xr,
    inference(cnf,[status(esa)],[m__2342]) ).

thf(zip_derived_cl915,plain,
    ! [X0: $i] :
      ( ( ( sk__1 @ xn @ xr )
        = ( sdtsldt0 @ X0 @ xr ) )
      | ( X0 != xn )
      | ~ ( aNaturalNumber0 @ X0 )
      | ( xr = sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl901,zip_derived_cl249,zip_derived_cl89]) ).

thf(zip_derived_cl1514,plain,
    ( ( xr = sz00 )
    | ~ ( aNaturalNumber0 @ xn )
    | ( ( sk__1 @ xn @ xr )
      = ( sdtsldt0 @ xn @ xr ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl915]) ).

thf(zip_derived_cl72_008,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl1515,plain,
    ( ( xr = sz00 )
    | ( ( sk__1 @ xn @ xr )
      = ( sdtsldt0 @ xn @ xr ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1514,zip_derived_cl72]) ).

thf(zip_derived_cl249_009,plain,
    aNaturalNumber0 @ ( sk__1 @ xn @ xr ),
    inference(demod,[status(thm)],[zip_derived_cl244,zip_derived_cl89,zip_derived_cl72]) ).

thf(zip_derived_cl1518,plain,
    ( ( xr = sz00 )
    | ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1515,zip_derived_cl249]) ).

thf(m__2529,axiom,
    doDivides0 @ xp @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) ).

thf(zip_derived_cl98,plain,
    doDivides0 @ xp @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ),
    inference(cnf,[status(esa)],[m__2529]) ).

thf(m__1799,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 )
        & ( aNaturalNumber0 @ W2 ) )
     => ( ( ( isPrime0 @ W2 )
          & ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) ) )
       => ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
         => ( ( doDivides0 @ W2 @ W0 )
            | ( doDivides0 @ W2 @ W1 ) ) ) ) ) ).

thf(zip_derived_cl73,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ X2 )
      | ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
      | ( doDivides0 @ X2 @ X1 )
      | ( doDivides0 @ X2 @ X0 )
      | ~ ( doDivides0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) )
      | ~ ( isPrime0 @ X2 ) ),
    inference(cnf,[status(esa)],[m__1799]) ).

thf(zip_derived_cl1333,plain,
    ( ~ ( aNaturalNumber0 @ xm )
    | ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
    | ~ ( aNaturalNumber0 @ xp )
    | ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
    | ( doDivides0 @ xp @ ( sdtsldt0 @ xn @ xr ) )
    | ( doDivides0 @ xp @ xm )
    | ~ ( isPrime0 @ xp ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl73]) ).

thf(zip_derived_cl71,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl70,plain,
    aNaturalNumber0 @ xp,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(m__,conjecture,
    ( ( doDivides0 @ xp @ ( sdtsldt0 @ xn @ xr ) )
    | ( doDivides0 @ xp @ xm ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( doDivides0 @ xp @ ( sdtsldt0 @ xn @ xr ) )
      | ( doDivides0 @ xp @ xm ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl102,plain,
    ~ ( doDivides0 @ xp @ ( sdtsldt0 @ xn @ xr ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl101,plain,
    ~ ( doDivides0 @ xp @ xm ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(m__1860,axiom,
    ( ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) )
    & ( isPrime0 @ xp ) ) ).

thf(zip_derived_cl75,plain,
    isPrime0 @ xp,
    inference(cnf,[status(esa)],[m__1860]) ).

thf(zip_derived_cl1346,plain,
    ( ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
    | ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1333,zip_derived_cl71,zip_derived_cl70,zip_derived_cl102,zip_derived_cl101,zip_derived_cl75]) ).

thf(zip_derived_cl1532,plain,
    ( ( xr = sz00 )
    | ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1518,zip_derived_cl1346]) ).

thf(mIH_03,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 ) )
     => ( ( ( W0 != W1 )
          & ( sdtlseqdt0 @ W0 @ W1 ) )
       => ( iLess0 @ W0 @ W1 ) ) ) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( iLess0 @ X0 @ X1 )
      | ~ ( sdtlseqdt0 @ X0 @ X1 )
      | ( X0 = X1 ) ),
    inference(cnf,[status(esa)],[mIH_03]) ).

thf(zip_derived_cl1533,plain,
    ( ( xr = sz00 )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp ) )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
    | ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
    | ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp )
      = ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl48]) ).

thf(m__2686,axiom,
    ( ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
    & ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp )
     != ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ) ).

thf(zip_derived_cl99,plain,
    sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ),
    inference(cnf,[status(esa)],[m__2686]) ).

thf(zip_derived_cl1550,plain,
    ( ( xr = sz00 )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp ) )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
    | ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp )
      = ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1533,zip_derived_cl99]) ).

thf(zip_derived_cl100,plain,
    ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp )
   != ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ),
    inference(cnf,[status(esa)],[m__2686]) ).

thf(zip_derived_cl1551,plain,
    ( ( xr = sz00 )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xp ) )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1550,zip_derived_cl100]) ).

thf(zip_derived_cl1555,plain,
    ( ~ ( aNaturalNumber0 @ xp )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) )
    | ( xr = sz00 )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1551]) ).

thf(zip_derived_cl70_010,plain,
    aNaturalNumber0 @ xp,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl1561,plain,
    ( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) )
    | ( xr = sz00 )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1555,zip_derived_cl70]) ).

thf(zip_derived_cl1571,plain,
    ( ~ ( aNaturalNumber0 @ xm )
    | ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
    | ( xr = sz00 )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1561]) ).

thf(zip_derived_cl71_011,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl1574,plain,
    ( ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
    | ( xr = sz00 )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1571,zip_derived_cl71]) ).

thf(zip_derived_cl1518_012,plain,
    ( ( xr = sz00 )
    | ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1515,zip_derived_cl249]) ).

thf(zip_derived_cl1578,plain,
    ( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
    | ( xr = sz00 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1574,zip_derived_cl1518]) ).

thf(zip_derived_cl1582,plain,
    ( ~ ( aNaturalNumber0 @ xp )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
    | ( xr = sz00 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1578]) ).

thf(zip_derived_cl70_013,plain,
    aNaturalNumber0 @ xp,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl1586,plain,
    ( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
    | ( xr = sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1582,zip_derived_cl70]) ).

thf(zip_derived_cl1591,plain,
    ( ~ ( aNaturalNumber0 @ xm )
    | ~ ( aNaturalNumber0 @ xn )
    | ( xr = sz00 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1586]) ).

thf(zip_derived_cl71_014,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl72_015,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl1592,plain,
    xr = sz00,
    inference(demod,[status(thm)],[zip_derived_cl1591,zip_derived_cl71,zip_derived_cl72]) ).

thf(mDefPrime,axiom,
    ! [W0: $i] :
      ( ( aNaturalNumber0 @ W0 )
     => ( ( isPrime0 @ W0 )
      <=> ( ( W0 != sz00 )
          & ( W0 != sz10 )
          & ! [W1: $i] :
              ( ( ( aNaturalNumber0 @ W1 )
                & ( doDivides0 @ W1 @ W0 ) )
             => ( ( W1 = sz10 )
                | ( W1 = W0 ) ) ) ) ) ) ).

thf(zip_derived_cl66,plain,
    ! [X0: $i] :
      ( ~ ( isPrime0 @ X0 )
      | ( X0 != sz00 )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefPrime]) ).

thf(zip_derived_cl112,plain,
    ( ~ ( aNaturalNumber0 @ sz00 )
    | ~ ( isPrime0 @ sz00 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl66]) ).

thf(mSortsC,axiom,
    aNaturalNumber0 @ sz00 ).

thf(zip_derived_cl1,plain,
    aNaturalNumber0 @ sz00,
    inference(cnf,[status(esa)],[mSortsC]) ).

thf(zip_derived_cl113,plain,
    ~ ( isPrime0 @ sz00 ),
    inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl1]) ).

thf(zip_derived_cl1593,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl87,zip_derived_cl1592,zip_derived_cl113]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM517+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.v6Myml8hP5 true
% 0.12/0.34  % Computer : n003.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri Aug 25 17:12:23 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.19/0.34  % Python version: Python 3.6.8
% 0.19/0.35  % Running in FO mode
% 0.20/0.67  % Total configuration time : 435
% 0.20/0.67  % Estimated wc time : 1092
% 0.20/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.99  % Solved by fo/fo13.sh.
% 0.57/0.99  % done 195 iterations in 0.215s
% 0.57/0.99  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.99  % SZS output start Refutation
% See solution above
% 0.57/0.99  
% 0.57/0.99  
% 0.57/0.99  % Terminating...
% 1.70/1.06  % Runner terminated.
% 1.70/1.08  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------