TSTP Solution File: NUM480+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM480+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.ekKPSAXHVF true

% Computer : n014.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 12:41:46 EDT 2023

% Result   : Theorem 36.10s 5.81s
% Output   : Refutation 36.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  104 (  50 unt;   9 typ;   0 def)
%            Number of atoms       :  216 (  77 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  799 ( 103   ~; 102   |;  11   &; 575   @)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   67 (   0   ^;  66   !;   1   ?;  67   :)

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

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

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

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

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

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

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

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

thf(xn_type,type,
    xn: $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__1594,axiom,
    ( ( sdtasdt0 @ ( sdtasdt0 @ xl @ xn ) @ ( sdtsldt0 @ xm @ xl ) )
    = ( sdtasdt0 @ xl @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xl ) ) ) ).

thf(zip_derived_cl64,plain,
    ( ( sdtasdt0 @ ( sdtasdt0 @ xl @ xn ) @ ( sdtsldt0 @ xm @ xl ) )
    = ( sdtasdt0 @ xl @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xl ) ) ),
    inference(cnf,[status(esa)],[m__1594]) ).

thf(zip_derived_cl64_001,plain,
    ( ( sdtasdt0 @ ( sdtasdt0 @ xl @ xn ) @ ( sdtsldt0 @ xm @ xl ) )
    = ( sdtasdt0 @ xl @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xl ) ) ),
    inference(cnf,[status(esa)],[m__1594]) ).

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

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ X2 )
      | ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
        = ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mMulAsso]) ).

thf(zip_derived_cl320,plain,
    ( ~ ( aNaturalNumber0 @ xn )
    | ~ ( aNaturalNumber0 @ xl )
    | ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xm @ xl ) )
    | ( ( sdtasdt0 @ xl @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xl ) )
      = ( sdtasdt0 @ xl @ ( sdtasdt0 @ xn @ ( sdtsldt0 @ xm @ xl ) ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl64,zip_derived_cl11]) ).

thf(m__1553,axiom,
    aNaturalNumber0 @ xn ).

thf(zip_derived_cl63,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__1553]) ).

thf(m__1524,axiom,
    ( ( aNaturalNumber0 @ xm )
    & ( aNaturalNumber0 @ xl ) ) ).

thf(zip_derived_cl60,plain,
    aNaturalNumber0 @ xl,
    inference(cnf,[status(esa)],[m__1524]) ).

thf(zip_derived_cl331,plain,
    ( ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xm @ xl ) )
    | ( ( sdtasdt0 @ xl @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xl ) )
      = ( sdtasdt0 @ xl @ ( sdtasdt0 @ xn @ ( sdtsldt0 @ xm @ xl ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl63,zip_derived_cl60]) ).

thf(m__1524_04,axiom,
    ( ( doDivides0 @ xl @ xm )
    & ( xl != sz00 ) ) ).

thf(zip_derived_cl61,plain,
    doDivides0 @ xl @ xm,
    inference(cnf,[status(esa)],[m__1524_04]) ).

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_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_cl166,plain,
    ( ~ ( aNaturalNumber0 @ xl )
    | ~ ( aNaturalNumber0 @ xm )
    | ( aNaturalNumber0 @ ( sk__1 @ xm @ xl ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl50]) ).

thf(zip_derived_cl60_002,plain,
    aNaturalNumber0 @ xl,
    inference(cnf,[status(esa)],[m__1524]) ).

thf(zip_derived_cl59,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1524]) ).

thf(zip_derived_cl167,plain,
    aNaturalNumber0 @ ( sk__1 @ xm @ xl ),
    inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl60,zip_derived_cl59]) ).

thf(zip_derived_cl61_003,plain,
    doDivides0 @ xl @ xm,
    inference(cnf,[status(esa)],[m__1524_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_cl614,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_cl60_004,plain,
    aNaturalNumber0 @ xl,
    inference(cnf,[status(esa)],[m__1524]) ).

thf(zip_derived_cl59_005,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1524]) ).

thf(zip_derived_cl615,plain,
    ( xm
    = ( sdtasdt0 @ xl @ ( sk__1 @ xm @ xl ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl614,zip_derived_cl60,zip_derived_cl59]) ).

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_cl71,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_cl803,plain,
    ! [X0: $i] :
      ( ( ( sk__1 @ xm @ xl )
        = ( sdtsldt0 @ X0 @ xl ) )
      | ( X0 != xm )
      | ~ ( aNaturalNumber0 @ ( sk__1 @ xm @ xl ) )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ xl )
      | ( xl = sz00 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl615,zip_derived_cl71]) ).

thf(zip_derived_cl167_006,plain,
    aNaturalNumber0 @ ( sk__1 @ xm @ xl ),
    inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl60,zip_derived_cl59]) ).

thf(zip_derived_cl60_007,plain,
    aNaturalNumber0 @ xl,
    inference(cnf,[status(esa)],[m__1524]) ).

thf(zip_derived_cl817,plain,
    ! [X0: $i] :
      ( ( ( sk__1 @ xm @ xl )
        = ( sdtsldt0 @ X0 @ xl ) )
      | ( X0 != xm )
      | ~ ( aNaturalNumber0 @ X0 )
      | ( xl = sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl803,zip_derived_cl167,zip_derived_cl60]) ).

thf(zip_derived_cl62,plain,
    xl != sz00,
    inference(cnf,[status(esa)],[m__1524_04]) ).

thf(zip_derived_cl818,plain,
    ! [X0: $i] :
      ( ( ( sk__1 @ xm @ xl )
        = ( sdtsldt0 @ X0 @ xl ) )
      | ( X0 != xm )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl817,zip_derived_cl62]) ).

thf(zip_derived_cl1032,plain,
    ( ~ ( aNaturalNumber0 @ xm )
    | ( ( sk__1 @ xm @ xl )
      = ( sdtsldt0 @ xm @ xl ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl818]) ).

thf(zip_derived_cl59_008,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1524]) ).

thf(zip_derived_cl1033,plain,
    ( ( sk__1 @ xm @ xl )
    = ( sdtsldt0 @ xm @ xl ) ),
    inference(demod,[status(thm)],[zip_derived_cl1032,zip_derived_cl59]) ).

thf(zip_derived_cl1034,plain,
    aNaturalNumber0 @ ( sdtsldt0 @ xm @ xl ),
    inference(demod,[status(thm)],[zip_derived_cl167,zip_derived_cl1033]) ).

thf(zip_derived_cl1090,plain,
    ( ( sdtasdt0 @ xl @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xl ) )
    = ( sdtasdt0 @ xl @ ( sdtasdt0 @ xn @ ( sdtsldt0 @ xm @ xl ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl331,zip_derived_cl1034]) ).

thf(zip_derived_cl1092,plain,
    ( ( sdtasdt0 @ ( sdtasdt0 @ xl @ xn ) @ ( sdtsldt0 @ xm @ xl ) )
    = ( sdtasdt0 @ xl @ ( sdtasdt0 @ xn @ ( sdtsldt0 @ xm @ xl ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl1090]) ).

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

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( ( sdtasdt0 @ X0 @ X1 )
        = ( sdtasdt0 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mMulComm]) ).

thf(zip_derived_cl11_009,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ X2 )
      | ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
        = ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mMulAsso]) ).

thf(zip_derived_cl321,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X2 )
      | ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
        = ( sdtasdt0 @ X0 @ ( sdtasdt0 @ X1 @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl11]) ).

thf(zip_derived_cl332,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
        = ( sdtasdt0 @ X0 @ ( sdtasdt0 @ X1 @ X2 ) ) )
      | ~ ( aNaturalNumber0 @ X2 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl321]) ).

thf(zip_derived_cl5543,plain,
    ( ( ( sdtasdt0 @ xl @ ( sdtasdt0 @ xn @ ( sdtsldt0 @ xm @ xl ) ) )
      = ( sdtasdt0 @ xn @ ( sdtasdt0 @ xl @ ( sdtsldt0 @ xm @ xl ) ) ) )
    | ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xm @ xl ) )
    | ~ ( aNaturalNumber0 @ xn )
    | ~ ( aNaturalNumber0 @ xl ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1092,zip_derived_cl332]) ).

thf(zip_derived_cl615_010,plain,
    ( xm
    = ( sdtasdt0 @ xl @ ( sk__1 @ xm @ xl ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl614,zip_derived_cl60,zip_derived_cl59]) ).

thf(zip_derived_cl1033_011,plain,
    ( ( sk__1 @ xm @ xl )
    = ( sdtsldt0 @ xm @ xl ) ),
    inference(demod,[status(thm)],[zip_derived_cl1032,zip_derived_cl59]) ).

thf(zip_derived_cl1035,plain,
    ( xm
    = ( sdtasdt0 @ xl @ ( sdtsldt0 @ xm @ xl ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl615,zip_derived_cl1033]) ).

thf(zip_derived_cl1034_012,plain,
    aNaturalNumber0 @ ( sdtsldt0 @ xm @ xl ),
    inference(demod,[status(thm)],[zip_derived_cl167,zip_derived_cl1033]) ).

thf(zip_derived_cl63_013,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__1553]) ).

thf(zip_derived_cl60_014,plain,
    aNaturalNumber0 @ xl,
    inference(cnf,[status(esa)],[m__1524]) ).

thf(zip_derived_cl5580,plain,
    ( ( sdtasdt0 @ xl @ ( sdtasdt0 @ xn @ ( sdtsldt0 @ xm @ xl ) ) )
    = ( sdtasdt0 @ xn @ xm ) ),
    inference(demod,[status(thm)],[zip_derived_cl5543,zip_derived_cl1035,zip_derived_cl1034,zip_derived_cl63,zip_derived_cl60]) ).

thf(zip_derived_cl5580_015,plain,
    ( ( sdtasdt0 @ xl @ ( sdtasdt0 @ xn @ ( sdtsldt0 @ xm @ xl ) ) )
    = ( sdtasdt0 @ xn @ xm ) ),
    inference(demod,[status(thm)],[zip_derived_cl5543,zip_derived_cl1035,zip_derived_cl1034,zip_derived_cl63,zip_derived_cl60]) ).

thf(zip_derived_cl10_016,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( ( sdtasdt0 @ X0 @ X1 )
        = ( sdtasdt0 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mMulComm]) ).

thf(zip_derived_cl615_017,plain,
    ( xm
    = ( sdtasdt0 @ xl @ ( sk__1 @ xm @ xl ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl614,zip_derived_cl60,zip_derived_cl59]) ).

thf(zip_derived_cl11_018,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ X2 )
      | ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
        = ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mMulAsso]) ).

thf(zip_derived_cl679,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ ( sk__1 @ xm @ xl ) )
      | ~ ( aNaturalNumber0 @ xl )
      | ~ ( aNaturalNumber0 @ X0 )
      | ( ( sdtasdt0 @ xm @ X0 )
        = ( sdtasdt0 @ xl @ ( sdtasdt0 @ ( sk__1 @ xm @ xl ) @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl615,zip_derived_cl11]) ).

thf(zip_derived_cl167_019,plain,
    aNaturalNumber0 @ ( sk__1 @ xm @ xl ),
    inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl60,zip_derived_cl59]) ).

thf(zip_derived_cl60_020,plain,
    aNaturalNumber0 @ xl,
    inference(cnf,[status(esa)],[m__1524]) ).

thf(zip_derived_cl694,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ( ( sdtasdt0 @ xm @ X0 )
        = ( sdtasdt0 @ xl @ ( sdtasdt0 @ ( sk__1 @ xm @ xl ) @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl679,zip_derived_cl167,zip_derived_cl60]) ).

thf(zip_derived_cl1033_021,plain,
    ( ( sk__1 @ xm @ xl )
    = ( sdtsldt0 @ xm @ xl ) ),
    inference(demod,[status(thm)],[zip_derived_cl1032,zip_derived_cl59]) ).

thf(zip_derived_cl2848,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ( ( sdtasdt0 @ xm @ X0 )
        = ( sdtasdt0 @ xl @ ( sdtasdt0 @ ( sdtsldt0 @ xm @ xl ) @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl694,zip_derived_cl1033]) ).

thf(zip_derived_cl2871,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xm @ xl ) )
      | ~ ( aNaturalNumber0 @ X0 )
      | ( ( sdtasdt0 @ xm @ X0 )
        = ( sdtasdt0 @ xl @ ( sdtasdt0 @ X0 @ ( sdtsldt0 @ xm @ xl ) ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl2848]) ).

thf(zip_derived_cl1034_022,plain,
    aNaturalNumber0 @ ( sdtsldt0 @ xm @ xl ),
    inference(demod,[status(thm)],[zip_derived_cl167,zip_derived_cl1033]) ).

thf(zip_derived_cl2878,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ( ( sdtasdt0 @ xm @ X0 )
        = ( sdtasdt0 @ xl @ ( sdtasdt0 @ X0 @ ( sdtsldt0 @ xm @ xl ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2871,zip_derived_cl1034]) ).

thf(zip_derived_cl2879,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ xm @ X0 )
        = ( sdtasdt0 @ xl @ ( sdtasdt0 @ X0 @ ( sdtsldt0 @ xm @ xl ) ) ) )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2878]) ).

thf(zip_derived_cl5713,plain,
    ( ( ( sdtasdt0 @ xm @ xn )
      = ( sdtasdt0 @ xn @ xm ) )
    | ~ ( aNaturalNumber0 @ xn ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl5580,zip_derived_cl2879]) ).

thf(zip_derived_cl63_023,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__1553]) ).

thf(zip_derived_cl5745,plain,
    ( ( sdtasdt0 @ xm @ xn )
    = ( sdtasdt0 @ xn @ xm ) ),
    inference(demod,[status(thm)],[zip_derived_cl5713,zip_derived_cl63]) ).

thf(zip_derived_cl5753,plain,
    ( ( sdtasdt0 @ xl @ ( sdtasdt0 @ xn @ ( sdtsldt0 @ xm @ xl ) ) )
    = ( sdtasdt0 @ xm @ xn ) ),
    inference(demod,[status(thm)],[zip_derived_cl5580,zip_derived_cl5745]) ).

thf(zip_derived_cl71_024,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_cl804,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = sz00 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( X1
        = ( sdtsldt0 @ ( sdtasdt0 @ X0 @ X1 ) @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl71]) ).

thf(zip_derived_cl5_025,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB_02]) ).

thf(zip_derived_cl45362,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
        = ( sdtsldt0 @ ( sdtasdt0 @ X0 @ X1 ) @ X0 ) )
      | ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ( X0 = sz00 ) ),
    inference(clc,[status(thm)],[zip_derived_cl804,zip_derived_cl5]) ).

thf(zip_derived_cl45454,plain,
    ( ( ( sdtasdt0 @ xn @ ( sdtsldt0 @ xm @ xl ) )
      = ( sdtsldt0 @ ( sdtasdt0 @ xm @ xn ) @ xl ) )
    | ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ ( sdtsldt0 @ xm @ xl ) ) )
    | ~ ( aNaturalNumber0 @ xl )
    | ( xl = sz00 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl5753,zip_derived_cl45362]) ).

thf(zip_derived_cl60_026,plain,
    aNaturalNumber0 @ xl,
    inference(cnf,[status(esa)],[m__1524]) ).

thf(zip_derived_cl45581,plain,
    ( ( ( sdtasdt0 @ xn @ ( sdtsldt0 @ xm @ xl ) )
      = ( sdtsldt0 @ ( sdtasdt0 @ xm @ xn ) @ xl ) )
    | ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ ( sdtsldt0 @ xm @ xl ) ) )
    | ( xl = sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl45454,zip_derived_cl60]) ).

thf(zip_derived_cl62_027,plain,
    xl != sz00,
    inference(cnf,[status(esa)],[m__1524_04]) ).

thf(zip_derived_cl10_028,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( ( sdtasdt0 @ X0 @ X1 )
        = ( sdtasdt0 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mMulComm]) ).

thf(m__,conjecture,
    ( ( sdtasdt0 @ xn @ ( sdtsldt0 @ xm @ xl ) )
    = ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xl ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( sdtasdt0 @ xn @ ( sdtsldt0 @ xm @ xl ) )
   != ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xl ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl65,plain,
    ( ( sdtasdt0 @ xn @ ( sdtsldt0 @ xm @ xl ) )
   != ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xl ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl106,plain,
    ( ~ ( aNaturalNumber0 @ xn )
    | ~ ( aNaturalNumber0 @ xm )
    | ( ( sdtasdt0 @ xn @ ( sdtsldt0 @ xm @ xl ) )
     != ( sdtsldt0 @ ( sdtasdt0 @ xm @ xn ) @ xl ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl65]) ).

thf(zip_derived_cl63_029,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__1553]) ).

thf(zip_derived_cl59_030,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1524]) ).

thf(zip_derived_cl134,plain,
    ( ( sdtasdt0 @ xn @ ( sdtsldt0 @ xm @ xl ) )
   != ( sdtsldt0 @ ( sdtasdt0 @ xm @ xn ) @ xl ) ),
    inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl63,zip_derived_cl59]) ).

thf(zip_derived_cl45582,plain,
    ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ ( sdtsldt0 @ xm @ xl ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl45581,zip_derived_cl62,zip_derived_cl134]) ).

thf(zip_derived_cl45679,plain,
    ( ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xm @ xl ) )
    | ~ ( aNaturalNumber0 @ xn ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl45582]) ).

thf(zip_derived_cl1034_031,plain,
    aNaturalNumber0 @ ( sdtsldt0 @ xm @ xl ),
    inference(demod,[status(thm)],[zip_derived_cl167,zip_derived_cl1033]) ).

thf(zip_derived_cl63_032,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__1553]) ).

thf(zip_derived_cl45683,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl45679,zip_derived_cl1034,zip_derived_cl63]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM480+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.ekKPSAXHVF true
% 0.13/0.36  % Computer : n014.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Fri Aug 25 15:27:17 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % 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
% 0.21/0.67  % Total configuration time : 435
% 0.21/0.67  % Estimated wc time : 1092
% 0.21/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 36.10/5.81  % Solved by fo/fo13.sh.
% 36.10/5.81  % done 2416 iterations in 4.994s
% 36.10/5.81  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 36.10/5.81  % SZS output start Refutation
% See solution above
% 36.10/5.81  
% 36.10/5.81  
% 36.10/5.81  % Terminating...
% 36.10/5.89  % Runner terminated.
% 36.10/5.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------