TSTP Solution File: NUM476+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM476+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.4Gi6Bp4mnw true

% Computer : n031.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 12:41:44 EDT 2023

% Result   : Theorem 1.74s 0.98s
% Output   : Refutation 1.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  101 (  30 unt;  15 typ;   0 def)
%            Number of atoms       :  244 ( 102 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  559 (  87   ~; 118   |;  24   &; 314   @)
%                                         (   3 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   8 con; 0-2 aty)
%            Number of variables   :   64 (   0   ^;  57   !;   7   ?;  64   :)

% 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__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(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(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,
    ( ( ( 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_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_cl1024,plain,
    ! [X0: $i] :
      ( ( X0 != sk__3 )
      | ( xl = sz00 )
      | ~ ( doDivides0 @ xl @ ( sdtpldt0 @ xm @ xn ) )
      | ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xn ) )
      | ~ ( aNaturalNumber0 @ xl )
      | ( xl = sz00 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl52]) ).

thf(zip_derived_cl60_001,plain,
    doDivides0 @ xl @ ( sdtpldt0 @ xm @ xn ),
    inference(cnf,[status(esa)],[m__1324_04]) ).

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

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

thf(zip_derived_cl1027,plain,
    ! [X0: $i] :
      ( ( X0 != sk__3 )
      | ( xl = sz00 )
      | ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xn ) )
      | ( xl = sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1024,zip_derived_cl60,zip_derived_cl59]) ).

thf(zip_derived_cl1028,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xn ) )
      | ( aNaturalNumber0 @ X0 )
      | ( xl = sz00 )
      | ( X0 != sk__3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1027]) ).

thf(zip_derived_cl1140,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ xn )
      | ~ ( aNaturalNumber0 @ xm )
      | ( X0 != sk__3 )
      | ( xl = sz00 )
      | ( aNaturalNumber0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1028]) ).

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_cl1142,plain,
    ! [X0: $i] :
      ( ( X0 != sk__3 )
      | ( xl = sz00 )
      | ( aNaturalNumber0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1140,zip_derived_cl57,zip_derived_cl58]) ).

thf(zip_derived_cl1143,plain,
    ( ( aNaturalNumber0 @ sk__3 )
    | ( xl = sz00 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1142]) ).

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

thf(zip_derived_cl52_002,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_cl1025,plain,
    ! [X0: $i] :
      ( ( X0 != sk__2 )
      | ( xl = sz00 )
      | ~ ( doDivides0 @ xl @ xm )
      | ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ xm )
      | ~ ( aNaturalNumber0 @ xl )
      | ( xl = sz00 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl52]) ).

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

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

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

thf(zip_derived_cl1029,plain,
    ! [X0: $i] :
      ( ( X0 != sk__2 )
      | ( xl = sz00 )
      | ( aNaturalNumber0 @ X0 )
      | ( xl = sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1025,zip_derived_cl61,zip_derived_cl58,zip_derived_cl59]) ).

thf(zip_derived_cl1030,plain,
    ! [X0: $i] :
      ( ( aNaturalNumber0 @ X0 )
      | ( xl = sz00 )
      | ( X0 != sk__2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1029]) ).

thf(zip_derived_cl1031,plain,
    ( ( xl = sz00 )
    | ( aNaturalNumber0 @ sk__2 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1030]) ).

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_cl312,plain,
    ! [X0: $i] :
      ( ( X0 != sk__4 )
      | ( xl = sz00 )
      | ~ ( sdtlseqdt0 @ sk__2 @ sk__3 )
      | ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ sk__3 )
      | ~ ( aNaturalNumber0 @ sk__2 ) ),
    inference('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_cl392,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ sk__2 )
      | ~ ( aNaturalNumber0 @ sk__3 )
      | ( aNaturalNumber0 @ X0 )
      | ( xl = sz00 )
      | ( X0 != sk__4 ) ),
    inference(clc,[status(thm)],[zip_derived_cl312,zip_derived_cl63]) ).

thf(zip_derived_cl1036,plain,
    ! [X0: $i] :
      ( ( xl = sz00 )
      | ( X0 != sk__4 )
      | ( xl = sz00 )
      | ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1031,zip_derived_cl392]) ).

thf(zip_derived_cl1043,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ sk__3 )
      | ( aNaturalNumber0 @ X0 )
      | ( X0 != sk__4 )
      | ( xl = sz00 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1036]) ).

thf(zip_derived_cl1151,plain,
    ! [X0: $i] :
      ( ( xl = sz00 )
      | ( xl = sz00 )
      | ( X0 != sk__4 )
      | ( aNaturalNumber0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1143,zip_derived_cl1043]) ).

thf(zip_derived_cl1159,plain,
    ! [X0: $i] :
      ( ( aNaturalNumber0 @ X0 )
      | ( X0 != sk__4 )
      | ( xl = sz00 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1151]) ).

thf(zip_derived_cl1160,plain,
    ( ( xl = sz00 )
    | ( aNaturalNumber0 @ sk__4 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1159]) ).

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_cl514,plain,
    ! [X0: $i] :
      ( ( X0 != xn )
      | ( xl = sz00 )
      | ~ ( aNaturalNumber0 @ sk__4 )
      | ( doDivides0 @ xl @ X0 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ xl ) ),
    inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl51]) ).

thf(zip_derived_cl59_005,plain,
    aNaturalNumber0 @ xl,
    inference(cnf,[status(esa)],[m__1324]) ).

thf(zip_derived_cl527,plain,
    ! [X0: $i] :
      ( ( X0 != xn )
      | ( xl = sz00 )
      | ~ ( aNaturalNumber0 @ sk__4 )
      | ( doDivides0 @ xl @ X0 )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl514,zip_derived_cl59]) ).

thf(zip_derived_cl1168,plain,
    ! [X0: $i] :
      ( ( xl = sz00 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ( doDivides0 @ xl @ X0 )
      | ( xl = sz00 )
      | ( X0 != xn ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1160,zip_derived_cl527]) ).

thf(zip_derived_cl1181,plain,
    ! [X0: $i] :
      ( ( X0 != xn )
      | ( doDivides0 @ xl @ X0 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ( xl = sz00 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1168]) ).

thf(zip_derived_cl1243,plain,
    ( ( xl = sz00 )
    | ~ ( aNaturalNumber0 @ xn )
    | ( doDivides0 @ xl @ xn ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1181]) ).

thf(zip_derived_cl57_006,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__1324]) ).

thf(zip_derived_cl1244,plain,
    ( ( xl = sz00 )
    | ( doDivides0 @ xl @ xn ) ),
    inference(demod,[status(thm)],[zip_derived_cl1243,zip_derived_cl57]) ).

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

thf(zip_derived_cl1245,plain,
    xl = sz00,
    inference(clc,[status(thm)],[zip_derived_cl1244,zip_derived_cl68]) ).

thf(zip_derived_cl1245_007,plain,
    xl = sz00,
    inference(clc,[status(thm)],[zip_derived_cl1244,zip_derived_cl68]) ).

thf(zip_derived_cl1251,plain,
    ! [X0: $i] :
      ( ( xl
        = ( sdtasdt0 @ xl @ X0 ) )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl1245,zip_derived_cl1245]) ).

thf(zip_derived_cl61_008,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_cl542,plain,
    ( ( xm
      = ( sdtasdt0 @ xl @ ( sk__1 @ xm @ xl ) ) )
    | ~ ( aNaturalNumber0 @ xm )
    | ~ ( aNaturalNumber0 @ xl ) ),
    inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl49]) ).

thf(zip_derived_cl58_009,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1324]) ).

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

thf(zip_derived_cl544,plain,
    ( xm
    = ( sdtasdt0 @ xl @ ( sk__1 @ xm @ xl ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl542,zip_derived_cl58,zip_derived_cl59]) ).

thf(zip_derived_cl1811,plain,
    ( ( xm = xl )
    | ~ ( aNaturalNumber0 @ ( sk__1 @ xm @ xl ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1251,zip_derived_cl544]) ).

thf(zip_derived_cl61_011,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_cl309,plain,
    ( ( aNaturalNumber0 @ ( sk__1 @ xm @ xl ) )
    | ~ ( aNaturalNumber0 @ xm )
    | ~ ( aNaturalNumber0 @ xl ) ),
    inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl50]) ).

thf(zip_derived_cl58_012,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1324]) ).

thf(zip_derived_cl59_013,plain,
    aNaturalNumber0 @ xl,
    inference(cnf,[status(esa)],[m__1324]) ).

thf(zip_derived_cl311,plain,
    aNaturalNumber0 @ ( sk__1 @ xm @ xl ),
    inference(demod,[status(thm)],[zip_derived_cl309,zip_derived_cl58,zip_derived_cl59]) ).

thf(zip_derived_cl1834,plain,
    xm = xl,
    inference(demod,[status(thm)],[zip_derived_cl1811,zip_derived_cl311]) ).

thf(zip_derived_cl1836,plain,
    doDivides0 @ xl @ ( sdtpldt0 @ xl @ xn ),
    inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl1834]) ).

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

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ X0 @ sz00 )
        = X0 )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(cnf,[status(esa)],[m_AddZero]) ).

thf(zip_derived_cl1245_014,plain,
    xl = sz00,
    inference(clc,[status(thm)],[zip_derived_cl1244,zip_derived_cl68]) ).

thf(zip_derived_cl1248,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ X0 @ xl )
        = X0 )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl1245]) ).

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

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( ( sdtpldt0 @ X0 @ X1 )
        = ( sdtpldt0 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mAddComm]) ).

thf(zip_derived_cl57_015,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__1324]) ).

thf(zip_derived_cl97,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ xn @ X0 )
        = ( sdtpldt0 @ X0 @ xn ) )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl57]) ).

thf(zip_derived_cl2107,plain,
    ( ( xn
      = ( sdtpldt0 @ xl @ xn ) )
    | ~ ( aNaturalNumber0 @ xn )
    | ~ ( aNaturalNumber0 @ xl ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1248,zip_derived_cl97]) ).

thf(zip_derived_cl57_016,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__1324]) ).

thf(zip_derived_cl59_017,plain,
    aNaturalNumber0 @ xl,
    inference(cnf,[status(esa)],[m__1324]) ).

thf(zip_derived_cl2145,plain,
    ( xn
    = ( sdtpldt0 @ xl @ xn ) ),
    inference(demod,[status(thm)],[zip_derived_cl2107,zip_derived_cl57,zip_derived_cl59]) ).

thf(zip_derived_cl68_018,plain,
    ~ ( doDivides0 @ xl @ xn ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2180,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1836,zip_derived_cl2145,zip_derived_cl68]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM476+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4Gi6Bp4mnw true
% 0.13/0.34  % Computer : n031.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 09:34:52 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.64  % Total configuration time : 435
% 0.20/0.64  % Estimated wc time : 1092
% 0.20/0.64  % 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
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.74/0.98  % Solved by fo/fo5.sh.
% 1.74/0.98  % done 324 iterations in 0.198s
% 1.74/0.98  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.74/0.98  % SZS output start Refutation
% See solution above
% 1.74/0.99  
% 1.74/0.99  
% 1.74/0.99  % Terminating...
% 2.25/1.06  % Runner terminated.
% 2.25/1.07  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------