TSTP Solution File: NUM507+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM507+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.J4Xo7ScxNG true

% Computer : n022.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 12:41:58 EDT 2023

% Result   : Theorem 23.90s 4.06s
% Output   : Refutation 23.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  146 (  47 unt;  14 typ;   0 def)
%            Number of atoms       :  389 (  89 equ;   0 cnn)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives : 1365 ( 219   ~; 205   |;  33   &; 889   @)
%                                         (   2 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   8 con; 0-2 aty)
%            Number of variables   :   76 (   0   ^;  76   !;   0   ?;  76   :)

% 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(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(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(m__2306,axiom,
    ( xk
    = ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) ).

thf(zip_derived_cl82,plain,
    ( xk
    = ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ),
    inference(cnf,[status(esa)],[m__2306]) ).

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_cl52,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = sz00 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( X2
       != ( sdtsldt0 @ X1 @ X0 ) )
      | ( aNaturalNumber0 @ X2 )
      | ~ ( doDivides0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefQuot]) ).

thf(zip_derived_cl1293,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( doDivides0 @ X1 @ X0 )
      | ( aNaturalNumber0 @ ( sdtsldt0 @ X0 @ X1 ) )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( X1 = sz00 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl52]) ).

thf(zip_derived_cl30738,plain,
    ( ( aNaturalNumber0 @ xk )
    | ( xp = sz00 )
    | ~ ( aNaturalNumber0 @ xp )
    | ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
    | ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl82,zip_derived_cl1293]) ).

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(m__,conjecture,
    ( ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
     != ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
    & ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
       != ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
      & ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl94,plain,
    ( ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
      = ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
    | ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(mMonAdd,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 ) )
     => ( ( ( W0 != W1 )
          & ( sdtlseqdt0 @ W0 @ W1 ) )
       => ! [W2: $i] :
            ( ( aNaturalNumber0 @ W2 )
           => ( ( ( sdtpldt0 @ W2 @ W0 )
               != ( sdtpldt0 @ W2 @ W1 ) )
              & ( sdtlseqdt0 @ ( sdtpldt0 @ W2 @ W0 ) @ ( sdtpldt0 @ W2 @ W1 ) )
              & ( ( sdtpldt0 @ W0 @ W2 )
               != ( sdtpldt0 @ W1 @ W2 ) )
              & ( sdtlseqdt0 @ ( sdtpldt0 @ W0 @ W2 ) @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) ) ) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( sdtlseqdt0 @ ( sdtpldt0 @ X2 @ X0 ) @ ( sdtpldt0 @ X2 @ X1 ) )
      | ~ ( aNaturalNumber0 @ X2 )
      | ~ ( sdtlseqdt0 @ X0 @ X1 )
      | ( X0 = X1 ) ),
    inference(cnf,[status(esa)],[mMonAdd]) ).

thf(zip_derived_cl1554,plain,
    ( ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
      = ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
    | ( xr = xp )
    | ~ ( sdtlseqdt0 @ xr @ xp )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
    | ~ ( aNaturalNumber0 @ xp )
    | ~ ( aNaturalNumber0 @ xr ) ),
    inference('sup+',[status(thm)],[zip_derived_cl94,zip_derived_cl37]) ).

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

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

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

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

thf(zip_derived_cl1574,plain,
    ( ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
      = ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
    | ( xr = xp )
    | ~ ( sdtlseqdt0 @ xr @ xp )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1554,zip_derived_cl70,zip_derived_cl89]) ).

thf(zip_derived_cl1678,plain,
    ( ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
      = ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
    | ~ ( sdtlseqdt0 @ xr @ xp ) ),
    inference(condensation,[status(thm)],[zip_derived_cl1574]) ).

thf(m__2362,axiom,
    ( ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) )
    & ( sdtlseqdt0 @ xr @ xk ) ) ).

thf(zip_derived_cl91,plain,
    sdtlseqdt0 @ xr @ xk,
    inference(cnf,[status(esa)],[m__2362]) ).

thf(mLETran,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 )
        & ( aNaturalNumber0 @ W2 ) )
     => ( ( ( sdtlseqdt0 @ W0 @ W1 )
          & ( sdtlseqdt0 @ W1 @ W2 ) )
       => ( sdtlseqdt0 @ W0 @ W2 ) ) ) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( sdtlseqdt0 @ X0 @ X1 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X2 )
      | ( sdtlseqdt0 @ X0 @ X2 )
      | ~ ( sdtlseqdt0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[mLETran]) ).

thf(zip_derived_cl876,plain,
    ! [X0: $i] :
      ( ~ ( sdtlseqdt0 @ xk @ X0 )
      | ( sdtlseqdt0 @ xr @ X0 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ xr )
      | ~ ( aNaturalNumber0 @ xk ) ),
    inference('sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl33]) ).

thf(zip_derived_cl89_001,plain,
    aNaturalNumber0 @ xr,
    inference(cnf,[status(esa)],[m__2342]) ).

thf(zip_derived_cl888,plain,
    ! [X0: $i] :
      ( ~ ( sdtlseqdt0 @ xk @ X0 )
      | ( sdtlseqdt0 @ xr @ X0 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ xk ) ),
    inference(demod,[status(thm)],[zip_derived_cl876,zip_derived_cl89]) ).

thf(zip_derived_cl9059,plain,
    ( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
    | ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
      = ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
    | ~ ( aNaturalNumber0 @ xk )
    | ~ ( aNaturalNumber0 @ xp )
    | ~ ( sdtlseqdt0 @ xk @ xp ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1678,zip_derived_cl888]) ).

thf(zip_derived_cl70_002,plain,
    aNaturalNumber0 @ xp,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(m__2377,axiom,
    ( ( sdtlseqdt0 @ xk @ xp )
    & ( xk != xp ) ) ).

thf(zip_derived_cl92,plain,
    sdtlseqdt0 @ xk @ xp,
    inference(cnf,[status(esa)],[m__2377]) ).

thf(zip_derived_cl9073,plain,
    ( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
    | ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
      = ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
    | ~ ( aNaturalNumber0 @ xk ) ),
    inference(demod,[status(thm)],[zip_derived_cl9059,zip_derived_cl70,zip_derived_cl92]) ).

thf(mAddAsso,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 )
        & ( aNaturalNumber0 @ W2 ) )
     => ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
        = ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ X2 )
      | ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
        = ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mAddAsso]) ).

thf(zip_derived_cl9245,plain,
    ( ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp )
      = ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xr ) ) )
    | ~ ( aNaturalNumber0 @ xk )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
    | ~ ( aNaturalNumber0 @ xr )
    | ~ ( aNaturalNumber0 @ xn )
    | ~ ( aNaturalNumber0 @ xm ) ),
    inference('sup+',[status(thm)],[zip_derived_cl9073,zip_derived_cl7]) ).

thf(zip_derived_cl89_003,plain,
    aNaturalNumber0 @ xr,
    inference(cnf,[status(esa)],[m__2342]) ).

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

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

thf(zip_derived_cl9322,plain,
    ( ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp )
      = ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xr ) ) )
    | ~ ( aNaturalNumber0 @ xk )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl9245,zip_derived_cl89,zip_derived_cl72,zip_derived_cl71]) ).

thf(zip_derived_cl7_004,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ X2 )
      | ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
        = ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mAddAsso]) ).

thf(zip_derived_cl11098,plain,
    ( ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xr ) )
      = ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
    | ~ ( aNaturalNumber0 @ xk )
    | ~ ( aNaturalNumber0 @ xp )
    | ~ ( aNaturalNumber0 @ xn )
    | ~ ( aNaturalNumber0 @ xm ) ),
    inference('sup+',[status(thm)],[zip_derived_cl9322,zip_derived_cl7]) ).

thf(zip_derived_cl70_005,plain,
    aNaturalNumber0 @ xp,
    inference(cnf,[status(esa)],[m__1837]) ).

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

thf(zip_derived_cl71_007,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl11198,plain,
    ( ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xr ) )
      = ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
    | ~ ( aNaturalNumber0 @ xk ) ),
    inference(demod,[status(thm)],[zip_derived_cl11098,zip_derived_cl70,zip_derived_cl72,zip_derived_cl71]) ).

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

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( sdtlseqdt0 @ X0 @ X1 )
      | ( X1 != X0 ) ),
    inference(cnf,[status(esa)],[mLETotal]) ).

thf(zip_derived_cl7_008,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ X2 )
      | ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
        = ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mAddAsso]) ).

thf(zip_derived_cl7_009,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ X2 )
      | ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
        = ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mAddAsso]) ).

thf(zip_derived_cl94_010,plain,
    ( ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
      = ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
    | ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl844,plain,
    ( ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
    | ~ ( aNaturalNumber0 @ xp )
    | ~ ( aNaturalNumber0 @ xn )
    | ~ ( aNaturalNumber0 @ xm )
    | ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
      = ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl94]) ).

thf(zip_derived_cl70_011,plain,
    aNaturalNumber0 @ xp,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl72_012,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl71_013,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl867,plain,
    ( ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
    | ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
      = ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl844,zip_derived_cl70,zip_derived_cl72,zip_derived_cl71]) ).

thf(zip_derived_cl937,plain,
    ( ~ ( sdtlseqdt0 @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xr ) ) @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
    | ~ ( aNaturalNumber0 @ xr )
    | ~ ( aNaturalNumber0 @ xn )
    | ~ ( aNaturalNumber0 @ xm )
    | ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
      = ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl867]) ).

thf(zip_derived_cl89_014,plain,
    aNaturalNumber0 @ xr,
    inference(cnf,[status(esa)],[m__2342]) ).

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

thf(zip_derived_cl71_016,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl941,plain,
    ( ~ ( sdtlseqdt0 @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xr ) ) @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
    | ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
      = ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl937,zip_derived_cl89,zip_derived_cl72,zip_derived_cl71]) ).

thf(zip_derived_cl954,plain,
    ( ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) )
     != ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xr ) ) )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xr ) ) )
    | ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
      = ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl941]) ).

thf(zip_derived_cl955,plain,
    ( ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) )
     != ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xr ) ) )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
    | ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
      = ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl954]) ).

thf(mAddCanc,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 )
        & ( aNaturalNumber0 @ W2 ) )
     => ( ( ( ( sdtpldt0 @ W0 @ W1 )
            = ( sdtpldt0 @ W0 @ W2 ) )
          | ( ( sdtpldt0 @ W1 @ W0 )
            = ( sdtpldt0 @ W2 @ W0 ) ) )
       => ( W1 = W2 ) ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ X2 )
      | ( X0 = X2 )
      | ( ( sdtpldt0 @ X1 @ X0 )
       != ( sdtpldt0 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[mAddCanc]) ).

thf(zip_derived_cl1176,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp )
       != ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ X0 ) )
      | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
      | ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) )
       != ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xr ) ) )
      | ( xr = X0 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
      | ~ ( aNaturalNumber0 @ xr ) ),
    inference('sup-',[status(thm)],[zip_derived_cl955,zip_derived_cl19]) ).

thf(zip_derived_cl89_017,plain,
    aNaturalNumber0 @ xr,
    inference(cnf,[status(esa)],[m__2342]) ).

thf(zip_derived_cl1194,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp )
       != ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ X0 ) )
      | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
      | ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) )
       != ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xr ) ) )
      | ( xr = X0 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1176,zip_derived_cl89]) ).

thf(zip_derived_cl23131,plain,
    ( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
    | ~ ( aNaturalNumber0 @ xp )
    | ( xr = xp )
    | ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) )
     != ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xr ) ) )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1194]) ).

thf(zip_derived_cl70_018,plain,
    aNaturalNumber0 @ xp,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl23132,plain,
    ( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
    | ( xr = xp )
    | ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) )
     != ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xr ) ) )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl23131,zip_derived_cl70]) ).

thf(zip_derived_cl23231,plain,
    ( ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) )
     != ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
    | ~ ( aNaturalNumber0 @ xk )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
    | ( xr = xp )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11198,zip_derived_cl23132]) ).

thf(zip_derived_cl23232,plain,
    ( ( xr = xp )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
    | ~ ( aNaturalNumber0 @ xk ) ),
    inference(simplify,[status(thm)],[zip_derived_cl23231]) ).

thf(zip_derived_cl34_019,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( sdtlseqdt0 @ X0 @ X1 )
      | ( X1 != X0 ) ),
    inference(cnf,[status(esa)],[mLETotal]) ).

thf(zip_derived_cl91_020,plain,
    sdtlseqdt0 @ xr @ xk,
    inference(cnf,[status(esa)],[m__2362]) ).

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

thf(zip_derived_cl32,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( X0 = X1 )
      | ~ ( sdtlseqdt0 @ X1 @ X0 )
      | ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mLEAsym]) ).

thf(zip_derived_cl747,plain,
    ( ~ ( sdtlseqdt0 @ xk @ xr )
    | ( xk = xr )
    | ~ ( aNaturalNumber0 @ xr )
    | ~ ( aNaturalNumber0 @ xk ) ),
    inference('sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl32]) ).

thf(zip_derived_cl89_021,plain,
    aNaturalNumber0 @ xr,
    inference(cnf,[status(esa)],[m__2342]) ).

thf(zip_derived_cl758,plain,
    ( ~ ( sdtlseqdt0 @ xk @ xr )
    | ( xk = xr )
    | ~ ( aNaturalNumber0 @ xk ) ),
    inference(demod,[status(thm)],[zip_derived_cl747,zip_derived_cl89]) ).

thf(zip_derived_cl92_022,plain,
    sdtlseqdt0 @ xk @ xp,
    inference(cnf,[status(esa)],[m__2377]) ).

thf(zip_derived_cl33_023,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( sdtlseqdt0 @ X0 @ X1 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X2 )
      | ( sdtlseqdt0 @ X0 @ X2 )
      | ~ ( sdtlseqdt0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[mLETran]) ).

thf(zip_derived_cl875,plain,
    ! [X0: $i] :
      ( ~ ( sdtlseqdt0 @ xp @ X0 )
      | ( sdtlseqdt0 @ xk @ X0 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ xk )
      | ~ ( aNaturalNumber0 @ xp ) ),
    inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl33]) ).

thf(zip_derived_cl70_024,plain,
    aNaturalNumber0 @ xp,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl887,plain,
    ! [X0: $i] :
      ( ~ ( sdtlseqdt0 @ xp @ X0 )
      | ( sdtlseqdt0 @ xk @ X0 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ xk ) ),
    inference(demod,[status(thm)],[zip_derived_cl875,zip_derived_cl70]) ).

thf(zip_derived_cl8915,plain,
    ( ~ ( aNaturalNumber0 @ xk )
    | ( xk = xr )
    | ~ ( aNaturalNumber0 @ xk )
    | ~ ( aNaturalNumber0 @ xr )
    | ~ ( sdtlseqdt0 @ xp @ xr ) ),
    inference('sup+',[status(thm)],[zip_derived_cl758,zip_derived_cl887]) ).

thf(zip_derived_cl89_025,plain,
    aNaturalNumber0 @ xr,
    inference(cnf,[status(esa)],[m__2342]) ).

thf(zip_derived_cl8926,plain,
    ( ~ ( aNaturalNumber0 @ xk )
    | ( xk = xr )
    | ~ ( aNaturalNumber0 @ xk )
    | ~ ( sdtlseqdt0 @ xp @ xr ) ),
    inference(demod,[status(thm)],[zip_derived_cl8915,zip_derived_cl89]) ).

thf(zip_derived_cl8927,plain,
    ( ~ ( sdtlseqdt0 @ xp @ xr )
    | ( xk = xr )
    | ~ ( aNaturalNumber0 @ xk ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8926]) ).

thf(zip_derived_cl11776,plain,
    ( ( xr != xp )
    | ~ ( aNaturalNumber0 @ xr )
    | ~ ( aNaturalNumber0 @ xp )
    | ~ ( aNaturalNumber0 @ xk )
    | ( xk = xr ) ),
    inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl8927]) ).

thf(zip_derived_cl89_026,plain,
    aNaturalNumber0 @ xr,
    inference(cnf,[status(esa)],[m__2342]) ).

thf(zip_derived_cl70_027,plain,
    aNaturalNumber0 @ xp,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl11782,plain,
    ( ( xr != xp )
    | ~ ( aNaturalNumber0 @ xk )
    | ( xk = xr ) ),
    inference(demod,[status(thm)],[zip_derived_cl11776,zip_derived_cl89,zip_derived_cl70]) ).

thf(zip_derived_cl11783,plain,
    ( ( xr != xp )
    | ~ ( aNaturalNumber0 @ xk )
    | ( xk = xp ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl11782]) ).

thf(zip_derived_cl93,plain,
    xk != xp,
    inference(cnf,[status(esa)],[m__2377]) ).

thf(zip_derived_cl12042,plain,
    ( ( xr != xp )
    | ~ ( aNaturalNumber0 @ xk ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl11783,zip_derived_cl93]) ).

thf(zip_derived_cl24125,plain,
    ( ~ ( aNaturalNumber0 @ xk )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl23232,zip_derived_cl12042]) ).

thf(zip_derived_cl7_028,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ X2 )
      | ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
        = ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mAddAsso]) ).

thf(zip_derived_cl9073_029,plain,
    ( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
    | ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
      = ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
    | ~ ( aNaturalNumber0 @ xk ) ),
    inference(demod,[status(thm)],[zip_derived_cl9059,zip_derived_cl70,zip_derived_cl92]) ).

thf(zip_derived_cl4_030,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB]) ).

thf(zip_derived_cl9214,plain,
    ( ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
    | ~ ( aNaturalNumber0 @ xk )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
    | ~ ( aNaturalNumber0 @ xr )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl9073,zip_derived_cl4]) ).

thf(zip_derived_cl89_031,plain,
    aNaturalNumber0 @ xr,
    inference(cnf,[status(esa)],[m__2342]) ).

thf(zip_derived_cl9258,plain,
    ( ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
    | ~ ( aNaturalNumber0 @ xk )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl9214,zip_derived_cl89]) ).

thf(zip_derived_cl9259,plain,
    ( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
    | ~ ( aNaturalNumber0 @ xk )
    | ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl9258]) ).

thf(zip_derived_cl9791,plain,
    ( ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
    | ~ ( aNaturalNumber0 @ xp )
    | ~ ( aNaturalNumber0 @ xn )
    | ~ ( aNaturalNumber0 @ xm )
    | ~ ( aNaturalNumber0 @ xk )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl9259]) ).

thf(zip_derived_cl70_032,plain,
    aNaturalNumber0 @ xp,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl72_033,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl71_034,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl9805,plain,
    ( ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
    | ~ ( aNaturalNumber0 @ xk )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl9791,zip_derived_cl70,zip_derived_cl72,zip_derived_cl71]) ).

thf(zip_derived_cl24126,plain,
    ( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
    | ~ ( aNaturalNumber0 @ xk ) ),
    inference(clc,[status(thm)],[zip_derived_cl24125,zip_derived_cl9805]) ).

thf(zip_derived_cl24128,plain,
    ( ~ ( aNaturalNumber0 @ xm )
    | ~ ( aNaturalNumber0 @ xn )
    | ~ ( aNaturalNumber0 @ xk ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl24126]) ).

thf(zip_derived_cl71_035,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl72_036,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl24129,plain,
    ~ ( aNaturalNumber0 @ xk ),
    inference(demod,[status(thm)],[zip_derived_cl24128,zip_derived_cl71,zip_derived_cl72]) ).

thf(zip_derived_cl70_037,plain,
    aNaturalNumber0 @ xp,
    inference(cnf,[status(esa)],[m__1837]) ).

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

thf(zip_derived_cl74,plain,
    doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ),
    inference(cnf,[status(esa)],[m__1860]) ).

thf(zip_derived_cl30740,plain,
    ( ( xp = sz00 )
    | ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl30738,zip_derived_cl24129,zip_derived_cl70,zip_derived_cl74]) ).

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

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_cl686,plain,
    ( ~ ( aNaturalNumber0 @ xp )
    | ( xp != sz00 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl75,zip_derived_cl66]) ).

thf(zip_derived_cl694,plain,
    ( ~ ( aNaturalNumber0 @ sz00 )
    | ( xp != sz00 ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl686]) ).

thf(mSortsC,axiom,
    aNaturalNumber0 @ sz00 ).

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

thf(zip_derived_cl695,plain,
    xp != sz00,
    inference(demod,[status(thm)],[zip_derived_cl694,zip_derived_cl1]) ).

thf(zip_derived_cl30741,plain,
    ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl30740,zip_derived_cl695]) ).

thf(zip_derived_cl30743,plain,
    ( ~ ( aNaturalNumber0 @ xm )
    | ~ ( aNaturalNumber0 @ xn ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl30741]) ).

thf(zip_derived_cl71_038,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl72_039,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl30744,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl30743,zip_derived_cl71,zip_derived_cl72]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM507+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.J4Xo7ScxNG true
% 0.13/0.35  % Computer : n022.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri Aug 25 10:27:55 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.21/0.66  % Total configuration time : 435
% 0.21/0.66  % Estimated wc time : 1092
% 0.21/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 23.90/4.06  % Solved by fo/fo3_bce.sh.
% 23.90/4.06  % BCE start: 95
% 23.90/4.06  % BCE eliminated: 1
% 23.90/4.06  % PE start: 94
% 23.90/4.06  logic: eq
% 23.90/4.06  % PE eliminated: -8
% 23.90/4.06  % done 2108 iterations in 3.260s
% 23.90/4.06  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 23.90/4.06  % SZS output start Refutation
% See solution above
% 23.90/4.07  
% 23.90/4.07  
% 23.90/4.07  % Terminating...
% 24.46/4.17  % Runner terminated.
% 24.46/4.19  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------