TSTP Solution File: NUM453+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM453+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.xUn5j0H6lM true

% Computer : n025.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 12:41:32 EDT 2023

% Result   : Theorem 1.82s 0.91s
% Output   : Refutation 1.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   92 (  27 unt;  11 typ;   0 def)
%            Number of atoms       :  186 (  65 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  581 (  88   ~;  89   |;  10   &; 388   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :   58 (   0   ^;  58   !;   0   ?;  58   :)

% Comments : 
%------------------------------------------------------------------------------
thf(smndt0_type,type,
    smndt0: $i > $i ).

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

thf(aInteger0_type,type,
    aInteger0: $i > $o ).

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

thf(xS_type,type,
    xS: $i ).

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

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

thf(sbsmnsldt0_type,type,
    sbsmnsldt0: $i > $i ).

thf(szAzrzSzezqlpdtcmdtrp0_type,type,
    szAzrzSzezqlpdtcmdtrp0: $i > $i > $i ).

thf(stldt0_type,type,
    stldt0: $i > $i ).

thf(aSubsetOf0_type,type,
    aSubsetOf0: $i > $i > $o ).

thf(mIntNeg,axiom,
    ! [W0: $i] :
      ( ( aInteger0 @ W0 )
     => ( aInteger0 @ ( smndt0 @ W0 ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i] :
      ( ( aInteger0 @ ( smndt0 @ X0 ) )
      | ~ ( aInteger0 @ X0 ) ),
    inference(cnf,[status(esa)],[mIntNeg]) ).

thf(mAddNeg,axiom,
    ! [W0: $i] :
      ( ( aInteger0 @ W0 )
     => ( ( ( sdtpldt0 @ W0 @ ( smndt0 @ W0 ) )
          = sz00 )
        & ( sz00
          = ( sdtpldt0 @ ( smndt0 @ W0 ) @ W0 ) ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ X0 @ ( smndt0 @ X0 ) )
        = sz00 )
      | ~ ( aInteger0 @ X0 ) ),
    inference(cnf,[status(esa)],[mAddNeg]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ( sz00
        = ( sdtpldt0 @ ( smndt0 @ X0 ) @ X0 ) )
      | ~ ( aInteger0 @ X0 ) ),
    inference(cnf,[status(esa)],[mAddNeg]) ).

thf(m__2171,axiom,
    ( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
    & ( xp != sz00 )
    & ( aInteger0 @ xp ) ) ).

thf(zip_derived_cl17,plain,
    aInteger0 @ xp,
    inference(cnf,[status(esa)],[m__2171]) ).

thf(zip_derived_cl1_001,plain,
    ! [X0: $i] :
      ( ( aInteger0 @ ( smndt0 @ X0 ) )
      | ~ ( aInteger0 @ X0 ) ),
    inference(cnf,[status(esa)],[mIntNeg]) ).

thf(m__,conjecture,
    ( ( ( sdtpldt0 @ sz10 @ xp )
     != sz10 )
    & ( ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) )
     != sz10 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( sdtpldt0 @ sz10 @ xp )
       != sz10 )
      & ( ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) )
       != sz10 ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl20,plain,
    ( ( ( sdtpldt0 @ sz10 @ xp )
      = sz10 )
    | ( ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) )
      = sz10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(mAddAsso,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aInteger0 @ W0 )
        & ( aInteger0 @ W1 )
        & ( aInteger0 @ W2 ) )
     => ( ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
        = ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aInteger0 @ X0 )
      | ~ ( aInteger0 @ X1 )
      | ~ ( aInteger0 @ X2 )
      | ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
        = ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 ) ) ),
    inference(cnf,[status(esa)],[mAddAsso]) ).

thf(zip_derived_cl92,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( smndt0 @ xp ) @ X0 ) )
        = ( sdtpldt0 @ sz10 @ X0 ) )
      | ( ( sdtpldt0 @ sz10 @ xp )
        = sz10 )
      | ~ ( aInteger0 @ X0 )
      | ~ ( aInteger0 @ sz10 )
      | ~ ( aInteger0 @ ( smndt0 @ xp ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl3]) ).

thf(mIntOne,axiom,
    aInteger0 @ sz10 ).

thf(zip_derived_cl0,plain,
    aInteger0 @ sz10,
    inference(cnf,[status(esa)],[mIntOne]) ).

thf(zip_derived_cl106,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( smndt0 @ xp ) @ X0 ) )
        = ( sdtpldt0 @ sz10 @ X0 ) )
      | ( ( sdtpldt0 @ sz10 @ xp )
        = sz10 )
      | ~ ( aInteger0 @ X0 )
      | ~ ( aInteger0 @ ( smndt0 @ xp ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl0]) ).

thf(zip_derived_cl111,plain,
    ! [X0: $i] :
      ( ~ ( aInteger0 @ xp )
      | ~ ( aInteger0 @ X0 )
      | ( ( sdtpldt0 @ sz10 @ xp )
        = sz10 )
      | ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( smndt0 @ xp ) @ X0 ) )
        = ( sdtpldt0 @ sz10 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl106]) ).

thf(zip_derived_cl17_002,plain,
    aInteger0 @ xp,
    inference(cnf,[status(esa)],[m__2171]) ).

thf(zip_derived_cl112,plain,
    ! [X0: $i] :
      ( ~ ( aInteger0 @ X0 )
      | ( ( sdtpldt0 @ sz10 @ xp )
        = sz10 )
      | ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( smndt0 @ xp ) @ X0 ) )
        = ( sdtpldt0 @ sz10 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl17]) ).

thf(zip_derived_cl117,plain,
    ( ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( smndt0 @ xp ) @ xp ) )
      = ( sdtpldt0 @ sz10 @ xp ) )
    | ( ( sdtpldt0 @ sz10 @ xp )
      = sz10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl112]) ).

thf(zip_derived_cl344,plain,
    ( ( ( sdtpldt0 @ sz10 @ sz00 )
      = ( sdtpldt0 @ sz10 @ xp ) )
    | ~ ( aInteger0 @ xp )
    | ( ( sdtpldt0 @ sz10 @ xp )
      = sz10 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl117]) ).

thf(zip_derived_cl17_003,plain,
    aInteger0 @ xp,
    inference(cnf,[status(esa)],[m__2171]) ).

thf(zip_derived_cl347,plain,
    ( ( ( sdtpldt0 @ sz10 @ sz00 )
      = ( sdtpldt0 @ sz10 @ xp ) )
    | ( ( sdtpldt0 @ sz10 @ xp )
      = sz10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl344,zip_derived_cl17]) ).

thf(mAddZero,axiom,
    ! [W0: $i] :
      ( ( aInteger0 @ W0 )
     => ( ( ( sdtpldt0 @ W0 @ sz00 )
          = W0 )
        & ( W0
          = ( sdtpldt0 @ sz00 @ W0 ) ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ X0 @ sz00 )
        = X0 )
      | ~ ( aInteger0 @ X0 ) ),
    inference(cnf,[status(esa)],[mAddZero]) ).

thf(zip_derived_cl354,plain,
    ( ( ( sdtpldt0 @ sz10 @ xp )
      = sz10 )
    | ( ( sdtpldt0 @ sz10 @ xp )
      = sz10 )
    | ~ ( aInteger0 @ sz10 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl347,zip_derived_cl5]) ).

thf(zip_derived_cl0_004,plain,
    aInteger0 @ sz10,
    inference(cnf,[status(esa)],[mIntOne]) ).

thf(zip_derived_cl360,plain,
    ( ( ( sdtpldt0 @ sz10 @ xp )
      = sz10 )
    | ( ( sdtpldt0 @ sz10 @ xp )
      = sz10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl354,zip_derived_cl0]) ).

thf(zip_derived_cl361,plain,
    ( ( sdtpldt0 @ sz10 @ xp )
    = sz10 ),
    inference(simplify,[status(thm)],[zip_derived_cl360]) ).

thf(mAddComm,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aInteger0 @ W0 )
        & ( aInteger0 @ W1 ) )
     => ( ( sdtpldt0 @ W0 @ W1 )
        = ( sdtpldt0 @ W1 @ W0 ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aInteger0 @ X0 )
      | ~ ( aInteger0 @ X1 )
      | ( ( sdtpldt0 @ X0 @ X1 )
        = ( sdtpldt0 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mAddComm]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sdtpldt0 @ sz00 @ X0 ) )
      | ~ ( aInteger0 @ X0 ) ),
    inference(cnf,[status(esa)],[mAddZero]) ).

thf(zip_derived_cl3_005,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aInteger0 @ X0 )
      | ~ ( aInteger0 @ X1 )
      | ~ ( aInteger0 @ X2 )
      | ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
        = ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 ) ) ),
    inference(cnf,[status(esa)],[mAddAsso]) ).

thf(zip_derived_cl90,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtpldt0 @ sz00 @ ( sdtpldt0 @ X0 @ X1 ) )
        = ( sdtpldt0 @ X0 @ X1 ) )
      | ~ ( aInteger0 @ X0 )
      | ~ ( aInteger0 @ X1 )
      | ~ ( aInteger0 @ sz00 )
      | ~ ( aInteger0 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl3]) ).

thf(zip_derived_cl0_006,plain,
    aInteger0 @ sz10,
    inference(cnf,[status(esa)],[mIntOne]) ).

thf(zip_derived_cl7_007,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ X0 @ ( smndt0 @ X0 ) )
        = sz00 )
      | ~ ( aInteger0 @ X0 ) ),
    inference(cnf,[status(esa)],[mAddNeg]) ).

thf(mIntPlus,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aInteger0 @ W0 )
        & ( aInteger0 @ W1 ) )
     => ( aInteger0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aInteger0 @ X0 )
      | ~ ( aInteger0 @ X1 )
      | ( aInteger0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mIntPlus]) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i] :
      ( ( aInteger0 @ sz00 )
      | ~ ( aInteger0 @ X0 )
      | ~ ( aInteger0 @ ( smndt0 @ X0 ) )
      | ~ ( aInteger0 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl2]) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i] :
      ( ~ ( aInteger0 @ ( smndt0 @ X0 ) )
      | ~ ( aInteger0 @ X0 )
      | ( aInteger0 @ sz00 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl1_008,plain,
    ! [X0: $i] :
      ( ( aInteger0 @ ( smndt0 @ X0 ) )
      | ~ ( aInteger0 @ X0 ) ),
    inference(cnf,[status(esa)],[mIntNeg]) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i] :
      ( ( aInteger0 @ sz00 )
      | ~ ( aInteger0 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl30,zip_derived_cl1]) ).

thf(zip_derived_cl37,plain,
    aInteger0 @ sz00,
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl36]) ).

thf(zip_derived_cl103,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtpldt0 @ sz00 @ ( sdtpldt0 @ X0 @ X1 ) )
        = ( sdtpldt0 @ X0 @ X1 ) )
      | ~ ( aInteger0 @ X0 )
      | ~ ( aInteger0 @ X1 )
      | ~ ( aInteger0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl90,zip_derived_cl37]) ).

thf(zip_derived_cl104,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aInteger0 @ X1 )
      | ~ ( aInteger0 @ X0 )
      | ( ( sdtpldt0 @ sz00 @ ( sdtpldt0 @ X0 @ X1 ) )
        = ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl103]) ).

thf(zip_derived_cl379,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtpldt0 @ sz00 @ ( sdtpldt0 @ X1 @ X0 ) )
        = ( sdtpldt0 @ X0 @ X1 ) )
      | ~ ( aInteger0 @ X1 )
      | ~ ( aInteger0 @ X0 )
      | ~ ( aInteger0 @ X0 )
      | ~ ( aInteger0 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl104]) ).

thf(zip_derived_cl394,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aInteger0 @ X0 )
      | ~ ( aInteger0 @ X1 )
      | ( ( sdtpldt0 @ sz00 @ ( sdtpldt0 @ X1 @ X0 ) )
        = ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl379]) ).

thf(zip_derived_cl944,plain,
    ( ( ( sdtpldt0 @ sz00 @ sz10 )
      = ( sdtpldt0 @ xp @ sz10 ) )
    | ~ ( aInteger0 @ sz10 )
    | ~ ( aInteger0 @ xp ) ),
    inference('sup+',[status(thm)],[zip_derived_cl361,zip_derived_cl394]) ).

thf(zip_derived_cl361_009,plain,
    ( ( sdtpldt0 @ sz10 @ xp )
    = sz10 ),
    inference(simplify,[status(thm)],[zip_derived_cl360]) ).

thf(zip_derived_cl104_010,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aInteger0 @ X1 )
      | ~ ( aInteger0 @ X0 )
      | ( ( sdtpldt0 @ sz00 @ ( sdtpldt0 @ X0 @ X1 ) )
        = ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl103]) ).

thf(zip_derived_cl387,plain,
    ( ( ( sdtpldt0 @ sz00 @ sz10 )
      = ( sdtpldt0 @ sz10 @ xp ) )
    | ~ ( aInteger0 @ sz10 )
    | ~ ( aInteger0 @ xp ) ),
    inference('sup+',[status(thm)],[zip_derived_cl361,zip_derived_cl104]) ).

thf(zip_derived_cl361_011,plain,
    ( ( sdtpldt0 @ sz10 @ xp )
    = sz10 ),
    inference(simplify,[status(thm)],[zip_derived_cl360]) ).

thf(zip_derived_cl0_012,plain,
    aInteger0 @ sz10,
    inference(cnf,[status(esa)],[mIntOne]) ).

thf(zip_derived_cl17_013,plain,
    aInteger0 @ xp,
    inference(cnf,[status(esa)],[m__2171]) ).

thf(zip_derived_cl406,plain,
    ( ( sdtpldt0 @ sz00 @ sz10 )
    = sz10 ),
    inference(demod,[status(thm)],[zip_derived_cl387,zip_derived_cl361,zip_derived_cl0,zip_derived_cl17]) ).

thf(zip_derived_cl0_014,plain,
    aInteger0 @ sz10,
    inference(cnf,[status(esa)],[mIntOne]) ).

thf(zip_derived_cl17_015,plain,
    aInteger0 @ xp,
    inference(cnf,[status(esa)],[m__2171]) ).

thf(zip_derived_cl987,plain,
    ( sz10
    = ( sdtpldt0 @ xp @ sz10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl944,zip_derived_cl406,zip_derived_cl0,zip_derived_cl17]) ).

thf(zip_derived_cl7_016,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ X0 @ ( smndt0 @ X0 ) )
        = sz00 )
      | ~ ( aInteger0 @ X0 ) ),
    inference(cnf,[status(esa)],[mAddNeg]) ).

thf(zip_derived_cl3_017,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aInteger0 @ X0 )
      | ~ ( aInteger0 @ X1 )
      | ~ ( aInteger0 @ X2 )
      | ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
        = ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 ) ) ),
    inference(cnf,[status(esa)],[mAddAsso]) ).

thf(zip_derived_cl85,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ ( smndt0 @ ( sdtpldt0 @ X1 @ X0 ) ) ) )
        = sz00 )
      | ~ ( aInteger0 @ ( sdtpldt0 @ X1 @ X0 ) )
      | ~ ( aInteger0 @ ( smndt0 @ ( sdtpldt0 @ X1 @ X0 ) ) )
      | ~ ( aInteger0 @ X1 )
      | ~ ( aInteger0 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl3]) ).

thf(zip_derived_cl2_018,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aInteger0 @ X0 )
      | ~ ( aInteger0 @ X1 )
      | ( aInteger0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mIntPlus]) ).

thf(zip_derived_cl261,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aInteger0 @ X0 )
      | ~ ( aInteger0 @ X1 )
      | ~ ( aInteger0 @ ( smndt0 @ ( sdtpldt0 @ X1 @ X0 ) ) )
      | ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ ( smndt0 @ ( sdtpldt0 @ X1 @ X0 ) ) ) )
        = sz00 ) ),
    inference(clc,[status(thm)],[zip_derived_cl85,zip_derived_cl2]) ).

thf(zip_derived_cl1010,plain,
    ( ( ( sdtpldt0 @ xp @ ( sdtpldt0 @ sz10 @ ( smndt0 @ sz10 ) ) )
      = sz00 )
    | ~ ( aInteger0 @ ( smndt0 @ ( sdtpldt0 @ xp @ sz10 ) ) )
    | ~ ( aInteger0 @ xp )
    | ~ ( aInteger0 @ sz10 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl987,zip_derived_cl261]) ).

thf(zip_derived_cl987_019,plain,
    ( sz10
    = ( sdtpldt0 @ xp @ sz10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl944,zip_derived_cl406,zip_derived_cl0,zip_derived_cl17]) ).

thf(zip_derived_cl17_020,plain,
    aInteger0 @ xp,
    inference(cnf,[status(esa)],[m__2171]) ).

thf(zip_derived_cl0_021,plain,
    aInteger0 @ sz10,
    inference(cnf,[status(esa)],[mIntOne]) ).

thf(zip_derived_cl1022,plain,
    ( ( ( sdtpldt0 @ xp @ ( sdtpldt0 @ sz10 @ ( smndt0 @ sz10 ) ) )
      = sz00 )
    | ~ ( aInteger0 @ ( smndt0 @ sz10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1010,zip_derived_cl987,zip_derived_cl17,zip_derived_cl0]) ).

thf(zip_derived_cl1276,plain,
    ( ( ( sdtpldt0 @ xp @ sz00 )
      = sz00 )
    | ~ ( aInteger0 @ sz10 )
    | ~ ( aInteger0 @ ( smndt0 @ sz10 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl1022]) ).

thf(zip_derived_cl0_022,plain,
    aInteger0 @ sz10,
    inference(cnf,[status(esa)],[mIntOne]) ).

thf(zip_derived_cl1278,plain,
    ( ( ( sdtpldt0 @ xp @ sz00 )
      = sz00 )
    | ~ ( aInteger0 @ ( smndt0 @ sz10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1276,zip_derived_cl0]) ).

thf(zip_derived_cl5_023,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ X0 @ sz00 )
        = X0 )
      | ~ ( aInteger0 @ X0 ) ),
    inference(cnf,[status(esa)],[mAddZero]) ).

thf(zip_derived_cl1365,plain,
    ( ( sz00 = xp )
    | ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
    | ~ ( aInteger0 @ xp ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1278,zip_derived_cl5]) ).

thf(zip_derived_cl17_024,plain,
    aInteger0 @ xp,
    inference(cnf,[status(esa)],[m__2171]) ).

thf(zip_derived_cl1376,plain,
    ( ( sz00 = xp )
    | ~ ( aInteger0 @ ( smndt0 @ sz10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1365,zip_derived_cl17]) ).

thf(zip_derived_cl16,plain,
    xp != sz00,
    inference(cnf,[status(esa)],[m__2171]) ).

thf(zip_derived_cl1377,plain,
    ~ ( aInteger0 @ ( smndt0 @ sz10 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1376,zip_derived_cl16]) ).

thf(zip_derived_cl1380,plain,
    ~ ( aInteger0 @ sz10 ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl1377]) ).

thf(zip_derived_cl0_025,plain,
    aInteger0 @ sz10,
    inference(cnf,[status(esa)],[mIntOne]) ).

thf(zip_derived_cl1381,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1380,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM453+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xUn5j0H6lM true
% 0.16/0.34  % Computer : n025.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Fri Aug 25 15:22:52 EDT 2023
% 0.16/0.34  % CPUTime  : 
% 0.16/0.34  % Running portfolio for 300 s
% 0.16/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.35  % Number of cores: 8
% 0.16/0.35  % Python version: Python 3.6.8
% 0.16/0.35  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.82/0.91  % Solved by fo/fo4.sh.
% 1.82/0.91  % done 182 iterations in 0.128s
% 1.82/0.91  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.82/0.91  % SZS output start Refutation
% See solution above
% 1.82/0.91  
% 1.82/0.91  
% 1.82/0.91  % Terminating...
% 2.40/0.95  % Runner terminated.
% 2.40/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------