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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM476+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.FQJDnxndMa true

% Computer : n020.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 04:47:07 PM UTC 2025

% Result   : Theorem 0.59s 0.93s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   84 (  34 unt;   0 typ;   0 def)
%            Number of atoms       :  231 (  95 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  528 (  81   ~; 109   |;  23   &; 300   @)
%                                         (   3 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   8 con; 0-2 aty)
%            Number of variables   :   56 (   0   ^;  49   !;   7   ?;  56   :)

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

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

thf(sk__2_type,type,
    sk__2: $i ).

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

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

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

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

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

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

thf(sdtmndt0_type,type,
    sdtmndt0: $i > $i > $i ).

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

thf(sk__4_type,type,
    sk__4: $i ).

thf(sk__3_type,type,
    sk__3: $i ).

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

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

thf(m__,conjecture,
    ( ( ( xl != sz00 )
     => ? [W0: $i] :
          ( ? [W1: $i] :
              ( ? [W2: $i] :
                  ( ( xn
                    = ( sdtasdt0 @ xl @ W2 ) )
                  & ( ( sdtpldt0 @ ( sdtasdt0 @ xl @ W0 ) @ ( sdtasdt0 @ xl @ W2 ) )
                    = ( sdtpldt0 @ ( sdtasdt0 @ xl @ W0 ) @ xn ) )
                  & ( W2
                    = ( sdtmndt0 @ W1 @ W0 ) ) )
              & ( sdtlseqdt0 @ W0 @ W1 )
              & ( W1
                = ( sdtsldt0 @ ( sdtpldt0 @ xm @ xn ) @ xl ) ) )
          & ( W0
            = ( sdtsldt0 @ xm @ xl ) ) ) )
   => ( doDivides0 @ xl @ xn ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( xl != sz00 )
       => ? [W0: $i] :
            ( ? [W1: $i] :
                ( ? [W2: $i] :
                    ( ( xn
                      = ( sdtasdt0 @ xl @ W2 ) )
                    & ( ( sdtpldt0 @ ( sdtasdt0 @ xl @ W0 ) @ ( sdtasdt0 @ xl @ W2 ) )
                      = ( sdtpldt0 @ ( sdtasdt0 @ xl @ W0 ) @ xn ) )
                    & ( W2
                      = ( sdtmndt0 @ W1 @ W0 ) ) )
                & ( sdtlseqdt0 @ W0 @ W1 )
                & ( W1
                  = ( sdtsldt0 @ ( sdtpldt0 @ xm @ xn ) @ xl ) ) )
            & ( W0
              = ( sdtsldt0 @ xm @ xl ) ) ) )
     => ( doDivides0 @ xl @ xn ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl68,plain,
    ~ ( doDivides0 @ xl @ xn ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl62,plain,
    ( ( sk__3
      = ( sdtsldt0 @ ( sdtpldt0 @ xm @ xn ) @ xl ) )
    | ( xl = sz00 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl659,plain,
    ! [X0: $i] :
      ( ( xl = sz00 )
      | ( xl = sz00 )
      | ~ ( aNaturalNumber0 @ xl )
      | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xn ) )
      | ( X0 != sk__3 )
      | ( aNaturalNumber0 @ X0 )
      | ~ ( doDivides0 @ xl @ ( sdtpldt0 @ xm @ xn ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl52]) ).

thf(m__1324,axiom,
    ( ( aNaturalNumber0 @ xn )
    & ( aNaturalNumber0 @ xm )
    & ( aNaturalNumber0 @ xl ) ) ).

thf(zip_derived_cl59,plain,
    aNaturalNumber0 @ xl,
    inference(cnf,[status(esa)],[m__1324]) ).

thf(m__1324_04,axiom,
    ( ( doDivides0 @ xl @ ( sdtpldt0 @ xm @ xn ) )
    & ( doDivides0 @ xl @ xm ) ) ).

thf(zip_derived_cl60,plain,
    doDivides0 @ xl @ ( sdtpldt0 @ xm @ xn ),
    inference(cnf,[status(esa)],[m__1324_04]) ).

thf(zip_derived_cl663,plain,
    ! [X0: $i] :
      ( ( xl = sz00 )
      | ( xl = sz00 )
      | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xn ) )
      | ( X0 != sk__3 )
      | ( aNaturalNumber0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl659,zip_derived_cl59,zip_derived_cl60]) ).

thf(zip_derived_cl664,plain,
    ! [X0: $i] :
      ( ( aNaturalNumber0 @ X0 )
      | ( X0 != sk__3 )
      | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xn ) )
      | ( xl = sz00 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl663]) ).

thf(zip_derived_cl670,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ xn )
      | ~ ( aNaturalNumber0 @ xm )
      | ( aNaturalNumber0 @ X0 )
      | ( X0 != sk__3 )
      | ( xl = sz00 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl664]) ).

thf(zip_derived_cl57,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__1324]) ).

thf(zip_derived_cl58,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1324]) ).

thf(zip_derived_cl671,plain,
    ! [X0: $i] :
      ( ( aNaturalNumber0 @ X0 )
      | ( X0 != sk__3 )
      | ( xl = sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl670,zip_derived_cl57,zip_derived_cl58]) ).

thf(zip_derived_cl738,plain,
    ( ( xl = sz00 )
    | ( aNaturalNumber0 @ sk__3 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl671]) ).

thf(zip_derived_cl66,plain,
    ( ( sk__4
      = ( sdtmndt0 @ sk__3 @ sk__2 ) )
    | ( xl = sz00 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(mDefDiff,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 ) )
     => ( ( sdtlseqdt0 @ W0 @ W1 )
       => ! [W2: $i] :
            ( ( W2
              = ( sdtmndt0 @ W1 @ W0 ) )
          <=> ( ( aNaturalNumber0 @ W2 )
              & ( ( sdtpldt0 @ W0 @ W2 )
                = W1 ) ) ) ) ) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( X2
       != ( sdtmndt0 @ X1 @ X0 ) )
      | ( aNaturalNumber0 @ X2 )
      | ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefDiff]) ).

thf(zip_derived_cl115,plain,
    ! [X0: $i] :
      ( ( xl = sz00 )
      | ~ ( aNaturalNumber0 @ sk__2 )
      | ~ ( aNaturalNumber0 @ sk__3 )
      | ( X0 != sk__4 )
      | ( aNaturalNumber0 @ X0 )
      | ~ ( sdtlseqdt0 @ sk__2 @ sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl30]) ).

thf(zip_derived_cl63,plain,
    ( ( sdtlseqdt0 @ sk__2 @ sk__3 )
    | ( xl = sz00 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl658,plain,
    ! [X0: $i] :
      ( ( aNaturalNumber0 @ X0 )
      | ( X0 != sk__4 )
      | ~ ( aNaturalNumber0 @ sk__3 )
      | ~ ( aNaturalNumber0 @ sk__2 )
      | ( xl = sz00 ) ),
    inference(clc,[status(thm)],[zip_derived_cl115,zip_derived_cl63]) ).

thf(zip_derived_cl740,plain,
    ! [X0: $i] :
      ( ( xl = sz00 )
      | ( aNaturalNumber0 @ X0 )
      | ( X0 != sk__4 )
      | ~ ( aNaturalNumber0 @ sk__2 )
      | ( xl = sz00 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl658]) ).

thf(zip_derived_cl742,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ sk__2 )
      | ( X0 != sk__4 )
      | ( aNaturalNumber0 @ X0 )
      | ( xl = sz00 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl740]) ).

thf(zip_derived_cl67,plain,
    ( ( sk__2
      = ( sdtsldt0 @ xm @ xl ) )
    | ( xl = sz00 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl52_001,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_cl660,plain,
    ! [X0: $i] :
      ( ( xl = sz00 )
      | ( xl = sz00 )
      | ~ ( aNaturalNumber0 @ xl )
      | ~ ( aNaturalNumber0 @ xm )
      | ( X0 != sk__2 )
      | ( aNaturalNumber0 @ X0 )
      | ~ ( doDivides0 @ xl @ xm ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl52]) ).

thf(zip_derived_cl59_002,plain,
    aNaturalNumber0 @ xl,
    inference(cnf,[status(esa)],[m__1324]) ).

thf(zip_derived_cl58_003,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1324]) ).

thf(zip_derived_cl61,plain,
    doDivides0 @ xl @ xm,
    inference(cnf,[status(esa)],[m__1324_04]) ).

thf(zip_derived_cl665,plain,
    ! [X0: $i] :
      ( ( xl = sz00 )
      | ( xl = sz00 )
      | ( X0 != sk__2 )
      | ( aNaturalNumber0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl660,zip_derived_cl59,zip_derived_cl58,zip_derived_cl61]) ).

thf(zip_derived_cl666,plain,
    ! [X0: $i] :
      ( ( aNaturalNumber0 @ X0 )
      | ( X0 != sk__2 )
      | ( xl = sz00 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl665]) ).

thf(zip_derived_cl667,plain,
    ( ( xl = sz00 )
    | ( aNaturalNumber0 @ sk__2 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl666]) ).

thf(zip_derived_cl743,plain,
    ! [X0: $i] :
      ( ( xl = sz00 )
      | ( aNaturalNumber0 @ X0 )
      | ( X0 != sk__4 ) ),
    inference(clc,[status(thm)],[zip_derived_cl742,zip_derived_cl667]) ).

thf(zip_derived_cl744,plain,
    ( ( aNaturalNumber0 @ sk__4 )
    | ( xl = sz00 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl743]) ).

thf(zip_derived_cl64,plain,
    ( ( xn
      = ( sdtasdt0 @ xl @ sk__4 ) )
    | ( xl = sz00 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl194,plain,
    ! [X0: $i] :
      ( ( xl = sz00 )
      | ~ ( aNaturalNumber0 @ xl )
      | ~ ( aNaturalNumber0 @ X0 )
      | ( doDivides0 @ xl @ X0 )
      | ~ ( aNaturalNumber0 @ sk__4 )
      | ( X0 != xn ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl51]) ).

thf(zip_derived_cl59_004,plain,
    aNaturalNumber0 @ xl,
    inference(cnf,[status(esa)],[m__1324]) ).

thf(zip_derived_cl204,plain,
    ! [X0: $i] :
      ( ( xl = sz00 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ( doDivides0 @ xl @ X0 )
      | ~ ( aNaturalNumber0 @ sk__4 )
      | ( X0 != xn ) ),
    inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl59]) ).

thf(zip_derived_cl745,plain,
    ! [X0: $i] :
      ( ( xl = sz00 )
      | ( xl = sz00 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ( doDivides0 @ xl @ X0 )
      | ( X0 != xn ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl744,zip_derived_cl204]) ).

thf(zip_derived_cl747,plain,
    ! [X0: $i] :
      ( ( X0 != xn )
      | ( doDivides0 @ xl @ X0 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ( xl = sz00 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl745]) ).

thf(zip_derived_cl870,plain,
    ( ( xl = sz00 )
    | ~ ( aNaturalNumber0 @ xn )
    | ( doDivides0 @ xl @ xn ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl747]) ).

thf(zip_derived_cl57_005,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__1324]) ).

thf(zip_derived_cl871,plain,
    ( ( xl = sz00 )
    | ( doDivides0 @ xl @ xn ) ),
    inference(demod,[status(thm)],[zip_derived_cl870,zip_derived_cl57]) ).

thf(zip_derived_cl68_006,plain,
    ~ ( doDivides0 @ xl @ xn ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl872,plain,
    xl = sz00,
    inference(clc,[status(thm)],[zip_derived_cl871,zip_derived_cl68]) ).

thf(zip_derived_cl876,plain,
    ~ ( doDivides0 @ sz00 @ xn ),
    inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl872]) ).

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(zip_derived_cl60_007,plain,
    doDivides0 @ xl @ ( sdtpldt0 @ xm @ xn ),
    inference(cnf,[status(esa)],[m__1324_04]) ).

thf(zip_derived_cl872_008,plain,
    xl = sz00,
    inference(clc,[status(thm)],[zip_derived_cl871,zip_derived_cl68]) ).

thf(zip_derived_cl874,plain,
    doDivides0 @ sz00 @ ( sdtpldt0 @ xm @ xn ),
    inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl872]) ).

thf(zip_derived_cl61_009,plain,
    doDivides0 @ xl @ xm,
    inference(cnf,[status(esa)],[m__1324_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_cl569,plain,
    ( ~ ( aNaturalNumber0 @ xl )
    | ~ ( aNaturalNumber0 @ xm )
    | ( xm
      = ( sdtasdt0 @ xl @ ( sk__1 @ xm @ xl ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl49]) ).

thf(zip_derived_cl59_010,plain,
    aNaturalNumber0 @ xl,
    inference(cnf,[status(esa)],[m__1324]) ).

thf(zip_derived_cl58_011,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1324]) ).

thf(zip_derived_cl572,plain,
    ( xm
    = ( sdtasdt0 @ xl @ ( sk__1 @ xm @ xl ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl569,zip_derived_cl59,zip_derived_cl58]) ).

thf(zip_derived_cl872_012,plain,
    xl = sz00,
    inference(clc,[status(thm)],[zip_derived_cl871,zip_derived_cl68]) ).

thf(zip_derived_cl872_013,plain,
    xl = sz00,
    inference(clc,[status(thm)],[zip_derived_cl871,zip_derived_cl68]) ).

thf(zip_derived_cl880,plain,
    ( xm
    = ( sdtasdt0 @ sz00 @ ( sk__1 @ xm @ sz00 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl572,zip_derived_cl872,zip_derived_cl872]) ).

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_cl970,plain,
    ( ( sz00 = xm )
    | ~ ( aNaturalNumber0 @ ( sk__1 @ xm @ sz00 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl880,zip_derived_cl15]) ).

thf(zip_derived_cl61_014,plain,
    doDivides0 @ xl @ xm,
    inference(cnf,[status(esa)],[m__1324_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_cl174,plain,
    ( ~ ( aNaturalNumber0 @ xl )
    | ~ ( aNaturalNumber0 @ xm )
    | ( aNaturalNumber0 @ ( sk__1 @ xm @ xl ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl50]) ).

thf(zip_derived_cl59_015,plain,
    aNaturalNumber0 @ xl,
    inference(cnf,[status(esa)],[m__1324]) ).

thf(zip_derived_cl58_016,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1324]) ).

thf(zip_derived_cl176,plain,
    aNaturalNumber0 @ ( sk__1 @ xm @ xl ),
    inference(demod,[status(thm)],[zip_derived_cl174,zip_derived_cl59,zip_derived_cl58]) ).

thf(zip_derived_cl872_017,plain,
    xl = sz00,
    inference(clc,[status(thm)],[zip_derived_cl871,zip_derived_cl68]) ).

thf(zip_derived_cl877,plain,
    aNaturalNumber0 @ ( sk__1 @ xm @ sz00 ),
    inference(demod,[status(thm)],[zip_derived_cl176,zip_derived_cl872]) ).

thf(zip_derived_cl984,plain,
    sz00 = xm,
    inference(demod,[status(thm)],[zip_derived_cl970,zip_derived_cl877]) ).

thf(zip_derived_cl987,plain,
    doDivides0 @ sz00 @ ( sdtpldt0 @ sz00 @ xn ),
    inference(demod,[status(thm)],[zip_derived_cl874,zip_derived_cl984]) ).

thf(zip_derived_cl1001,plain,
    ( ~ ( aNaturalNumber0 @ xn )
    | ( doDivides0 @ sz00 @ xn ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl987]) ).

thf(zip_derived_cl57_018,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__1324]) ).

thf(zip_derived_cl1002,plain,
    doDivides0 @ sz00 @ xn,
    inference(demod,[status(thm)],[zip_derived_cl1001,zip_derived_cl57]) ).

thf(zip_derived_cl1006,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl876,zip_derived_cl1002]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM476+1 : TPTP v9.2.0. Released v4.0.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.FQJDnxndMa true
% 0.12/0.34  % Computer : n020.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 : Wed Oct  1 16:29:08 EDT 2025
% 0.20/0.34  % CPUTime  : 
% 0.20/0.34  % Running portfolio for 300 s
% 0.20/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.35  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.35  % Running in FO mode
% 0.57/0.65  % Total configuration time : 435
% 0.57/0.65  % Estimated wc time : 1092
% 0.57/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.93  % Solved by fo/fo13.sh.
% 0.59/0.93  % done 120 iterations in 0.156s
% 0.59/0.93  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.93  % SZS output start Refutation
% See solution above
% 0.59/0.93  
% 0.59/0.93  
% 0.59/0.93  % Terminating...
% 0.59/0.99  % Runner terminated.
% 0.59/1.00  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------