TSTP Solution File: NUM453+6 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM453+6 : 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.j5wbqzK5g8 true

% Computer : n003.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 12:41:33 EDT 2023

% Result   : Theorem 0.54s 1.00s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   28
% Syntax   : Number of formulae    :   92 (  30 unt;  18 typ;   0 def)
%            Number of atoms       :  193 (  72 equ;   0 cnn)
%            Maximal formula atoms :   26 (   2 avg)
%            Number of connectives :  664 (  63   ~;  64   |;  42   &; 482   @)
%                                         (   5 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   20 (  20   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  18 usr;   7 con; 0-3 aty)
%            Number of variables   :   53 (   0   ^;  47   !;   6   ?;  53   :)

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

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

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

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

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

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

thf(cS2076_type,type,
    cS2076: $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(aElementOf0_type,type,
    aElementOf0: $i > $i > $o ).

thf(aDivisorOf0_type,type,
    aDivisorOf0: $i > $i > $o ).

thf(sdteqdtlpzmzozddtrp0_type,type,
    sdteqdtlpzmzozddtrp0: $i > $i > $i > $o ).

thf(sk__27_type,type,
    sk__27: $i ).

thf(aSet0_type,type,
    aSet0: $i > $o ).

thf(m__2232,axiom,
    ( ( aElementOf0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
    & ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ sz10 @ xp )
    & ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
    & ? [W0: $i] :
        ( ( ( sdtasdt0 @ xp @ W0 )
          = ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
        & ( aInteger0 @ W0 ) )
    & ( aElementOf0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
    & ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ xp ) @ sz10 @ xp )
    & ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) )
    & ? [W0: $i] :
        ( ( ( sdtasdt0 @ xp @ W0 )
          = ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) )
        & ( aInteger0 @ W0 ) ) ) ).

thf(zip_derived_cl213,plain,
    ( ( sdtasdt0 @ xp @ sk__27 )
    = ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) ),
    inference(cnf,[status(esa)],[m__2232]) ).

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

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

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

thf(zip_derived_cl11,plain,
    ! [X0: $i] :
      ( ( sz00
        = ( sdtpldt0 @ ( smndt0 @ X0 ) @ X0 ) )
      | ~ ( aInteger0 @ X0 ) ),
    inference(cnf,[status(esa)],[mAddNeg]) ).

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

thf(zip_derived_cl3,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_cl223,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_cl6,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_cl1855,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ sz10 @ xp )
        = sz10 )
      | ~ ( aInteger0 @ ( smndt0 @ xp ) )
      | ~ ( aInteger0 @ sz10 )
      | ~ ( aInteger0 @ X0 )
      | ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( smndt0 @ xp ) @ X0 ) )
        = ( sdtpldt0 @ sz10 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl223,zip_derived_cl6]) ).

thf(mIntOne,axiom,
    aInteger0 @ sz10 ).

thf(zip_derived_cl2,plain,
    aInteger0 @ sz10,
    inference(cnf,[status(esa)],[mIntOne]) ).

thf(zip_derived_cl1862,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ sz10 @ xp )
        = sz10 )
      | ~ ( aInteger0 @ ( smndt0 @ xp ) )
      | ~ ( aInteger0 @ X0 )
      | ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( smndt0 @ xp ) @ X0 ) )
        = ( sdtpldt0 @ sz10 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1855,zip_derived_cl2]) ).

thf(zip_derived_cl2633,plain,
    ! [X0: $i] :
      ( ~ ( aInteger0 @ xp )
      | ( ( sdtpldt0 @ sz10 @ xp )
        = sz10 )
      | ~ ( aInteger0 @ X0 )
      | ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( smndt0 @ xp ) @ X0 ) )
        = ( sdtpldt0 @ sz10 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1862]) ).

thf(m__2171,axiom,
    ( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
       => ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
      <=> ( ( aInteger0 @ W0 )
          & ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
      <=> ( ( aInteger0 @ W0 )
          & ? [W1: $i] :
              ( ( aElementOf0 @ W0 @ W1 )
              & ( aElementOf0 @ W1 @ xS ) ) ) )
    & ( aSet0 @ ( sbsmnsldt0 @ xS ) )
    & ! [W0: $i] :
        ( ( ( ( aInteger0 @ W0 )
            & ( ? [W1: $i] :
                  ( ( ( sdtasdt0 @ xp @ W1 )
                    = ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) )
                  & ( aInteger0 @ W1 ) )
              | ( aDivisorOf0 @ xp @ ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) )
              | ( sdteqdtlpzmzozddtrp0 @ W0 @ sz10 @ xp ) ) )
         => ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
        & ( ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
         => ( ( aInteger0 @ W0 )
            & ? [W1: $i] :
                ( ( ( sdtasdt0 @ xp @ W1 )
                  = ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) )
                & ( aInteger0 @ W1 ) )
            & ( aDivisorOf0 @ xp @ ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) )
            & ( sdteqdtlpzmzozddtrp0 @ W0 @ sz10 @ xp ) ) ) )
    & ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
    & ( xp != sz00 )
    & ( aInteger0 @ xp ) ) ).

thf(zip_derived_cl192,plain,
    aInteger0 @ xp,
    inference(cnf,[status(esa)],[m__2171]) ).

thf(zip_derived_cl2634,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ sz10 @ xp )
        = sz10 )
      | ~ ( aInteger0 @ X0 )
      | ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( smndt0 @ xp ) @ X0 ) )
        = ( sdtpldt0 @ sz10 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2633,zip_derived_cl192]) ).

thf(zip_derived_cl2642,plain,
    ( ~ ( aInteger0 @ xp )
    | ( ( sdtpldt0 @ sz10 @ xp )
      = sz10 )
    | ~ ( aInteger0 @ xp )
    | ( ( sdtpldt0 @ sz10 @ sz00 )
      = ( sdtpldt0 @ sz10 @ xp ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl2634]) ).

thf(zip_derived_cl192_001,plain,
    aInteger0 @ xp,
    inference(cnf,[status(esa)],[m__2171]) ).

thf(zip_derived_cl192_002,plain,
    aInteger0 @ xp,
    inference(cnf,[status(esa)],[m__2171]) ).

thf(zip_derived_cl2646,plain,
    ( ( ( sdtpldt0 @ sz10 @ xp )
      = sz10 )
    | ( ( sdtpldt0 @ sz10 @ sz00 )
      = ( sdtpldt0 @ sz10 @ xp ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2642,zip_derived_cl192,zip_derived_cl192]) ).

thf(zip_derived_cl2657,plain,
    ( ( ( sdtpldt0 @ sz10 @ sz00 )
     != sz10 )
    | ( ( sdtpldt0 @ sz10 @ xp )
      = sz10 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl2646]) ).

thf(zip_derived_cl2662,plain,
    ( ~ ( aInteger0 @ sz10 )
    | ( sz10 != sz10 )
    | ( ( sdtpldt0 @ sz10 @ xp )
      = sz10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl2657]) ).

thf(zip_derived_cl2_003,plain,
    aInteger0 @ sz10,
    inference(cnf,[status(esa)],[mIntOne]) ).

thf(zip_derived_cl2665,plain,
    ( ( sz10 != sz10 )
    | ( ( sdtpldt0 @ sz10 @ xp )
      = sz10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl2]) ).

thf(zip_derived_cl2666,plain,
    ( ( sdtpldt0 @ sz10 @ xp )
    = sz10 ),
    inference(simplify,[status(thm)],[zip_derived_cl2665]) ).

thf(zip_derived_cl2669,plain,
    ( ( sdtasdt0 @ xp @ sk__27 )
    = ( sdtpldt0 @ sz10 @ ( smndt0 @ sz10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl213,zip_derived_cl2666]) ).

thf(zip_derived_cl2669_004,plain,
    ( ( sdtasdt0 @ xp @ sk__27 )
    = ( sdtpldt0 @ sz10 @ ( smndt0 @ sz10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl213,zip_derived_cl2666]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ X0 @ ( smndt0 @ X0 ) )
        = sz00 )
      | ~ ( aInteger0 @ X0 ) ),
    inference(cnf,[status(esa)],[mAddNeg]) ).

thf(zip_derived_cl2684,plain,
    ( ( ( sdtasdt0 @ xp @ sk__27 )
      = sz00 )
    | ~ ( aInteger0 @ sz10 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2669,zip_derived_cl10]) ).

thf(zip_derived_cl2_005,plain,
    aInteger0 @ sz10,
    inference(cnf,[status(esa)],[mIntOne]) ).

thf(zip_derived_cl2689,plain,
    ( ( sdtasdt0 @ xp @ sk__27 )
    = sz00 ),
    inference(demod,[status(thm)],[zip_derived_cl2684,zip_derived_cl2]) ).

thf(zip_derived_cl2696,plain,
    ( sz00
    = ( sdtpldt0 @ sz10 @ ( smndt0 @ sz10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2669,zip_derived_cl2689]) ).

thf(zip_derived_cl6_006,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_cl2724,plain,
    ! [X0: $i] :
      ( ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
      | ~ ( aInteger0 @ sz10 )
      | ~ ( aInteger0 @ X0 )
      | ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( smndt0 @ sz10 ) @ X0 ) )
        = ( sdtpldt0 @ sz00 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2696,zip_derived_cl6]) ).

thf(zip_derived_cl2_007,plain,
    aInteger0 @ sz10,
    inference(cnf,[status(esa)],[mIntOne]) ).

thf(zip_derived_cl2728,plain,
    ! [X0: $i] :
      ( ~ ( aInteger0 @ ( smndt0 @ sz10 ) )
      | ~ ( aInteger0 @ X0 )
      | ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( smndt0 @ sz10 ) @ X0 ) )
        = ( sdtpldt0 @ sz00 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2724,zip_derived_cl2]) ).

thf(m__2079,axiom,
    ( ( ( stldt0 @ ( sbsmnsldt0 @ xS ) )
      = cS2076 )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
      <=> ( ( W0 = sz10 )
          | ( W0
            = ( smndt0 @ sz10 ) ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
      <=> ( ( aInteger0 @ W0 )
          & ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) ) )
    & ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
      <=> ( ( aInteger0 @ W0 )
          & ? [W1: $i] :
              ( ( aElementOf0 @ W0 @ W1 )
              & ( aElementOf0 @ W1 @ xS ) ) ) )
    & ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ).

thf(zip_derived_cl145,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
      | ( X0
       != ( smndt0 @ sz10 ) ) ),
    inference(cnf,[status(esa)],[m__2079]) ).

thf(zip_derived_cl147,plain,
    ( ( stldt0 @ ( sbsmnsldt0 @ xS ) )
    = cS2076 ),
    inference(cnf,[status(esa)],[m__2079]) ).

thf(zip_derived_cl3581,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ cS2076 )
      | ( X0
       != ( smndt0 @ sz10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl145,zip_derived_cl147]) ).

thf(zip_derived_cl3582,plain,
    aElementOf0 @ ( smndt0 @ sz10 ) @ cS2076,
    inference(eq_res,[status(thm)],[zip_derived_cl3581]) ).

thf(zip_derived_cl142,plain,
    ! [X0: $i] :
      ( ( aInteger0 @ X0 )
      | ~ ( aElementOf0 @ X0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ),
    inference(cnf,[status(esa)],[m__2079]) ).

thf(zip_derived_cl147_008,plain,
    ( ( stldt0 @ ( sbsmnsldt0 @ xS ) )
    = cS2076 ),
    inference(cnf,[status(esa)],[m__2079]) ).

thf(zip_derived_cl2821,plain,
    ! [X0: $i] :
      ( ( aInteger0 @ X0 )
      | ~ ( aElementOf0 @ X0 @ cS2076 ) ),
    inference(demod,[status(thm)],[zip_derived_cl142,zip_derived_cl147]) ).

thf(zip_derived_cl3584,plain,
    aInteger0 @ ( smndt0 @ sz10 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3582,zip_derived_cl2821]) ).

thf(zip_derived_cl3633,plain,
    ! [X0: $i] :
      ( ~ ( aInteger0 @ X0 )
      | ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ ( smndt0 @ sz10 ) @ X0 ) )
        = ( sdtpldt0 @ sz00 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2728,zip_derived_cl3584]) ).

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

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aInteger0 @ X0 )
      | ~ ( aInteger0 @ X1 )
      | ( ( sdtpldt0 @ X0 @ X1 )
        = ( sdtpldt0 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mAddComm]) ).

thf(zip_derived_cl2666_009,plain,
    ( ( sdtpldt0 @ sz10 @ xp )
    = sz10 ),
    inference(simplify,[status(thm)],[zip_derived_cl2665]) ).

thf(zip_derived_cl6_010,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_cl2675,plain,
    ! [X0: $i] :
      ( ~ ( aInteger0 @ xp )
      | ~ ( aInteger0 @ sz10 )
      | ~ ( aInteger0 @ X0 )
      | ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ X0 ) )
        = ( sdtpldt0 @ sz10 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2666,zip_derived_cl6]) ).

thf(zip_derived_cl192_011,plain,
    aInteger0 @ xp,
    inference(cnf,[status(esa)],[m__2171]) ).

thf(zip_derived_cl2_012,plain,
    aInteger0 @ sz10,
    inference(cnf,[status(esa)],[mIntOne]) ).

thf(zip_derived_cl2677,plain,
    ! [X0: $i] :
      ( ~ ( aInteger0 @ X0 )
      | ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ xp @ X0 ) )
        = ( sdtpldt0 @ sz10 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2675,zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl2868,plain,
    ! [X0: $i] :
      ( ~ ( aInteger0 @ X0 )
      | ~ ( aInteger0 @ xp )
      | ~ ( aInteger0 @ X0 )
      | ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ X0 @ xp ) )
        = ( sdtpldt0 @ sz10 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl2677]) ).

thf(zip_derived_cl192_013,plain,
    aInteger0 @ xp,
    inference(cnf,[status(esa)],[m__2171]) ).

thf(zip_derived_cl2872,plain,
    ! [X0: $i] :
      ( ~ ( aInteger0 @ X0 )
      | ~ ( aInteger0 @ X0 )
      | ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ X0 @ xp ) )
        = ( sdtpldt0 @ sz10 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2868,zip_derived_cl192]) ).

thf(zip_derived_cl2873,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ sz10 @ ( sdtpldt0 @ X0 @ xp ) )
        = ( sdtpldt0 @ sz10 @ X0 ) )
      | ~ ( aInteger0 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2872]) ).

thf(zip_derived_cl3640,plain,
    ( ~ ( aInteger0 @ xp )
    | ( ( sdtpldt0 @ sz00 @ xp )
      = ( sdtpldt0 @ sz10 @ ( smndt0 @ sz10 ) ) )
    | ~ ( aInteger0 @ ( smndt0 @ sz10 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3633,zip_derived_cl2873]) ).

thf(zip_derived_cl192_014,plain,
    aInteger0 @ xp,
    inference(cnf,[status(esa)],[m__2171]) ).

thf(zip_derived_cl2696_015,plain,
    ( sz00
    = ( sdtpldt0 @ sz10 @ ( smndt0 @ sz10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2669,zip_derived_cl2689]) ).

thf(zip_derived_cl3584_016,plain,
    aInteger0 @ ( smndt0 @ sz10 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3582,zip_derived_cl2821]) ).

thf(zip_derived_cl3661,plain,
    ( ( sdtpldt0 @ sz00 @ xp )
    = sz00 ),
    inference(demod,[status(thm)],[zip_derived_cl3640,zip_derived_cl192,zip_derived_cl2696,zip_derived_cl3584]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sdtpldt0 @ sz00 @ X0 ) )
      | ~ ( aInteger0 @ X0 ) ),
    inference(cnf,[status(esa)],[mAddZero]) ).

thf(zip_derived_cl3668,plain,
    ( ( xp = sz00 )
    | ~ ( aInteger0 @ xp ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3661,zip_derived_cl9]) ).

thf(zip_derived_cl192_017,plain,
    aInteger0 @ xp,
    inference(cnf,[status(esa)],[m__2171]) ).

thf(zip_derived_cl3673,plain,
    xp = sz00,
    inference(demod,[status(thm)],[zip_derived_cl3668,zip_derived_cl192]) ).

thf(zip_derived_cl193,plain,
    xp != sz00,
    inference(cnf,[status(esa)],[m__2171]) ).

thf(zip_derived_cl3674,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl3673,zip_derived_cl193]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM453+6 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.j5wbqzK5g8 true
% 0.13/0.32  % Computer : n003.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit : 300
% 0.13/0.32  % WCLimit  : 300
% 0.13/0.32  % DateTime : Fri Aug 25 10:29:08 EDT 2023
% 0.13/0.32  % CPUTime  : 
% 0.13/0.32  % Running portfolio for 300 s
% 0.13/0.32  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33  % Number of cores: 8
% 0.13/0.33  % Python version: Python 3.6.8
% 0.13/0.33  % Running in FO mode
% 0.18/0.64  % Total configuration time : 435
% 0.18/0.64  % Estimated wc time : 1092
% 0.18/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/1.00  % Solved by fo/fo6_bce.sh.
% 0.54/1.00  % BCE start: 224
% 0.54/1.00  % BCE eliminated: 1
% 0.54/1.00  % PE start: 223
% 0.54/1.00  logic: eq
% 0.54/1.00  % PE eliminated: 6
% 0.54/1.00  % done 429 iterations in 0.309s
% 0.54/1.00  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/1.00  % SZS output start Refutation
% See solution above
% 0.54/1.00  
% 0.54/1.00  
% 0.54/1.00  % Terminating...
% 0.54/1.05  % Runner terminated.
% 0.54/1.06  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------