TSTP Solution File: NUM441+6 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM441+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.pFjYqerJ5q true

% Computer : n017.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 12:41:28 EDT 2023

% Result   : Theorem 1.29s 1.00s
% Output   : Refutation 1.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   33
% Syntax   : Number of formulae    :   44 (   8 unt;  25 typ;   0 def)
%            Number of atoms       :  218 (  17 equ;   0 cnn)
%            Maximal formula atoms :   63 (  11 avg)
%            Number of connectives :  819 (  24   ~;  30   |; 113   &; 596   @)
%                                         (  22 <=>;  34  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   32 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   31 (  31   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   24 (  22 usr;   5 con; 0-3 aty)
%            Number of variables   :   60 (   0   ^;  45   !;  15   ?;  60   :)

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

thf(xB_type,type,
    xB: $i ).

thf(isOpen0_type,type,
    isOpen0: $i > $o ).

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

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

thf(zip_tseitin_7_type,type,
    zip_tseitin_7: $i > $o ).

thf(sdtbsmnsldt0_type,type,
    sdtbsmnsldt0: $i > $i > $i ).

thf(zip_tseitin_8_type,type,
    zip_tseitin_8: $i > $o ).

thf(cS1395_type,type,
    cS1395: $i ).

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

thf(sdtpldt0_type,type,
    sdtpldt0: $i > $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(isClosed0_type,type,
    isClosed0: $i > $o ).

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

thf(sdtslmnbsdt0_type,type,
    sdtslmnbsdt0: $i > $i > $i ).

thf(xA_type,type,
    xA: $i ).

thf(zip_tseitin_9_type,type,
    zip_tseitin_9: $i > $o ).

thf(m__,conjecture,
    ( ( ! [W0: $i] :
          ( ( aElementOf0 @ W0 @ ( sdtbsmnsldt0 @ xA @ xB ) )
        <=> ( ( ( aElementOf0 @ W0 @ xB )
              | ( aElementOf0 @ W0 @ xA ) )
            & ( aInteger0 @ W0 ) ) )
      & ( aSet0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
   => ( ( isClosed0 @ ( sdtbsmnsldt0 @ xA @ xB ) )
      | ( ( ! [W0: $i] :
              ( ( aElementOf0 @ W0 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
            <=> ( ~ ( aElementOf0 @ W0 @ ( sdtbsmnsldt0 @ xA @ xB ) )
                & ( aInteger0 @ W0 ) ) )
          & ( aSet0 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ) )
       => ( ( isOpen0 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
          | ! [W0: $i] :
              ( ( aElementOf0 @ W0 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
             => ? [W1: $i] :
                  ( ( aInteger0 @ W1 )
                  & ( W1 != sz00 )
                  & ( ( ! [W2: $i] :
                          ( ( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
                           => ( ( sdteqdtlpzmzozddtrp0 @ W2 @ W0 @ W1 )
                              & ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
                              & ? [W3: $i] :
                                  ( ( aInteger0 @ W3 )
                                  & ( ( sdtasdt0 @ W1 @ W3 )
                                    = ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) ) )
                              & ( aInteger0 @ W2 ) ) )
                          & ( ( ( ( sdteqdtlpzmzozddtrp0 @ W2 @ W0 @ W1 )
                                | ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
                                | ? [W3: $i] :
                                    ( ( aInteger0 @ W3 )
                                    & ( ( sdtasdt0 @ W1 @ W3 )
                                      = ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) ) ) )
                              & ( aInteger0 @ W2 ) )
                           => ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) ) ) )
                      & ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) ) )
                   => ( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
                      | ! [W2: $i] :
                          ( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
                         => ( aElementOf0 @ W2 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ) ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,type,
    zip_tseitin_9: $i > $o ).

thf(zf_stmt_1,axiom,
    ! [W0: $i] :
      ( ( zip_tseitin_9 @ W0 )
    <=> ( ( aInteger0 @ W0 )
        & ~ ( aElementOf0 @ W0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ) ) ).

thf(zf_stmt_2,type,
    zip_tseitin_8: $i > $o ).

thf(zf_stmt_3,axiom,
    ! [W0: $i] :
      ( ( zip_tseitin_8 @ W0 )
    <=> ( ( aInteger0 @ W0 )
        & ( zip_tseitin_7 @ W0 ) ) ) ).

thf(zf_stmt_4,type,
    zip_tseitin_7: $i > $o ).

thf(zf_stmt_5,axiom,
    ! [W0: $i] :
      ( ( zip_tseitin_7 @ W0 )
    <=> ( ( aElementOf0 @ W0 @ xA )
        | ( aElementOf0 @ W0 @ xB ) ) ) ).

thf(zf_stmt_6,conjecture,
    ( ( ( aSet0 @ ( sdtbsmnsldt0 @ xA @ xB ) )
      & ! [W0: $i] :
          ( ( aElementOf0 @ W0 @ ( sdtbsmnsldt0 @ xA @ xB ) )
        <=> ( zip_tseitin_8 @ W0 ) ) )
   => ( ( ( ( aSet0 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
          & ! [W0: $i] :
              ( ( aElementOf0 @ W0 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
            <=> ( zip_tseitin_9 @ W0 ) ) )
       => ( ! [W0: $i] :
              ( ( aElementOf0 @ W0 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
             => ? [W1: $i] :
                  ( ( ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
                      & ! [W2: $i] :
                          ( ( ( ( aInteger0 @ W2 )
                              & ( ? [W3: $i] :
                                    ( ( ( sdtasdt0 @ W1 @ W3 )
                                      = ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
                                    & ( aInteger0 @ W3 ) )
                                | ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
                                | ( sdteqdtlpzmzozddtrp0 @ W2 @ W0 @ W1 ) ) )
                           => ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) ) )
                          & ( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
                           => ( ( aInteger0 @ W2 )
                              & ? [W3: $i] :
                                  ( ( ( sdtasdt0 @ W1 @ W3 )
                                    = ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
                                  & ( aInteger0 @ W3 ) )
                              & ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
                              & ( sdteqdtlpzmzozddtrp0 @ W2 @ W0 @ W1 ) ) ) ) )
                   => ( ! [W2: $i] :
                          ( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
                         => ( aElementOf0 @ W2 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ) )
                      | ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ) ) )
                  & ( W1 != sz00 )
                  & ( aInteger0 @ W1 ) ) )
          | ( isOpen0 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ) ) )
      | ( isClosed0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ) ) ).

thf(zf_stmt_7,negated_conjecture,
    ~ ( ( ( aSet0 @ ( sdtbsmnsldt0 @ xA @ xB ) )
        & ! [W0: $i] :
            ( ( aElementOf0 @ W0 @ ( sdtbsmnsldt0 @ xA @ xB ) )
          <=> ( zip_tseitin_8 @ W0 ) ) )
     => ( ( ( ( aSet0 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
            & ! [W0: $i] :
                ( ( aElementOf0 @ W0 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
              <=> ( zip_tseitin_9 @ W0 ) ) )
         => ( ! [W0: $i] :
                ( ( aElementOf0 @ W0 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
               => ? [W1: $i] :
                    ( ( ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
                        & ! [W2: $i] :
                            ( ( ( ( aInteger0 @ W2 )
                                & ( ? [W3: $i] :
                                      ( ( ( sdtasdt0 @ W1 @ W3 )
                                        = ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
                                      & ( aInteger0 @ W3 ) )
                                  | ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
                                  | ( sdteqdtlpzmzozddtrp0 @ W2 @ W0 @ W1 ) ) )
                             => ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) ) )
                            & ( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
                             => ( ( aInteger0 @ W2 )
                                & ? [W3: $i] :
                                    ( ( ( sdtasdt0 @ W1 @ W3 )
                                      = ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
                                    & ( aInteger0 @ W3 ) )
                                & ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
                                & ( sdteqdtlpzmzozddtrp0 @ W2 @ W0 @ W1 ) ) ) ) )
                     => ( ! [W2: $i] :
                            ( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
                           => ( aElementOf0 @ W2 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ) )
                        | ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ) ) )
                    & ( W1 != sz00 )
                    & ( aInteger0 @ W1 ) ) )
            | ( isOpen0 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ) ) )
        | ( isClosed0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_6]) ).

thf(zip_derived_cl219,plain,
    ~ ( isOpen0 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(m__1883,axiom,
    ( ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( stldt0 @ xA ) )
      <=> ( ( aInteger0 @ W0 )
          & ~ ( aElementOf0 @ W0 @ xA ) ) )
    & ( aSubsetOf0 @ ( stldt0 @ xB ) @ cS1395 )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( stldt0 @ xB ) )
      <=> ( ( aInteger0 @ W0 )
          & ~ ( aElementOf0 @ W0 @ xB ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( stldt0 @ xB ) )
       => ( aElementOf0 @ W0 @ cS1395 ) )
    & ( aSubsetOf0 @ ( stldt0 @ xA ) @ cS1395 )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( stldt0 @ xA ) )
      <=> ( ( aInteger0 @ W0 )
          & ~ ( aElementOf0 @ W0 @ xA ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( sdtbsmnsldt0 @ xA @ xB ) )
      <=> ( ( aInteger0 @ W0 )
          & ( ( aElementOf0 @ W0 @ xA )
            | ( aElementOf0 @ W0 @ xB ) ) ) )
    & ( aSet0 @ cS1395 )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
      <=> ( ( aInteger0 @ W0 )
          & ~ ( aElementOf0 @ W0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ) )
    & ( ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) )
      = ( sdtslmnbsdt0 @ ( stldt0 @ xA ) @ ( stldt0 @ xB ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( stldt0 @ xB ) )
      <=> ( ( aInteger0 @ W0 )
          & ~ ( aElementOf0 @ W0 @ xB ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ cS1395 )
      <=> ( aInteger0 @ W0 ) )
    & ( aSet0 @ ( sdtbsmnsldt0 @ xA @ xB ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ cS1395 )
      <=> ( aInteger0 @ W0 ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( stldt0 @ xA ) )
       => ( aElementOf0 @ W0 @ cS1395 ) )
    & ( aSet0 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
      <=> ( ( aInteger0 @ W0 )
          & ( aElementOf0 @ W0 @ ( stldt0 @ xA ) )
          & ( aElementOf0 @ W0 @ ( stldt0 @ xB ) ) ) )
    & ( aSet0 @ ( stldt0 @ xB ) )
    & ( aSet0 @ ( stldt0 @ xA ) ) ) ).

thf(zip_derived_cl170,plain,
    ( ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) )
    = ( sdtslmnbsdt0 @ ( stldt0 @ xA ) @ ( stldt0 @ xB ) ) ),
    inference(cnf,[status(esa)],[m__1883]) ).

thf(mInterOpen,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aSubsetOf0 @ W0 @ cS1395 )
        & ( aSubsetOf0 @ W1 @ cS1395 )
        & ( isOpen0 @ W0 )
        & ( isOpen0 @ W1 ) )
     => ( isOpen0 @ ( sdtslmnbsdt0 @ W0 @ W1 ) ) ) ).

thf(zip_derived_cl104,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( isOpen0 @ X0 )
      | ~ ( aSubsetOf0 @ X0 @ cS1395 )
      | ~ ( aSubsetOf0 @ X1 @ cS1395 )
      | ~ ( isOpen0 @ X1 )
      | ( isOpen0 @ ( sdtslmnbsdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mInterOpen]) ).

thf(zip_derived_cl2671,plain,
    ( ~ ( isOpen0 @ ( stldt0 @ xA ) )
    | ~ ( aSubsetOf0 @ ( stldt0 @ xA ) @ cS1395 )
    | ~ ( aSubsetOf0 @ ( stldt0 @ xB ) @ cS1395 )
    | ~ ( isOpen0 @ ( stldt0 @ xB ) )
    | ( isOpen0 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl170,zip_derived_cl104]) ).

thf(m__1826,axiom,
    ( ( isOpen0 @ ( stldt0 @ xB ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xB )
       => ( aElementOf0 @ W0 @ cS1395 ) )
    & ( aSubsetOf0 @ xB @ cS1395 )
    & ( isClosed0 @ xA )
    & ( aSubsetOf0 @ xA @ cS1395 )
    & ( aSet0 @ cS1395 )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ cS1395 )
      <=> ( aInteger0 @ W0 ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xA )
       => ( aElementOf0 @ W0 @ cS1395 ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( stldt0 @ xB ) )
      <=> ( ( aInteger0 @ W0 )
          & ~ ( aElementOf0 @ W0 @ xB ) ) )
    & ( aSet0 @ xB )
    & ( isClosed0 @ xB )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ cS1395 )
      <=> ( aInteger0 @ W0 ) )
    & ( isOpen0 @ ( stldt0 @ xA ) )
    & ( aSet0 @ xA )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( stldt0 @ xA ) )
       => ? [W1: $i] :
            ( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) @ ( stldt0 @ xA ) )
            & ! [W2: $i] :
                ( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
               => ( aElementOf0 @ W2 @ ( stldt0 @ xA ) ) )
            & ! [W2: $i] :
                ( ( ( ( aInteger0 @ W2 )
                    & ( ? [W3: $i] :
                          ( ( ( sdtasdt0 @ W1 @ W3 )
                            = ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
                          & ( aInteger0 @ W3 ) )
                      | ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
                      | ( sdteqdtlpzmzozddtrp0 @ W2 @ W0 @ W1 ) ) )
                 => ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) ) )
                & ( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
                 => ( ( aInteger0 @ W2 )
                    & ? [W3: $i] :
                        ( ( ( sdtasdt0 @ W1 @ W3 )
                          = ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
                        & ( aInteger0 @ W3 ) )
                    & ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
                    & ( sdteqdtlpzmzozddtrp0 @ W2 @ W0 @ W1 ) ) ) )
            & ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
            & ( W1 != sz00 )
            & ( aInteger0 @ W1 ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( stldt0 @ xB ) )
       => ? [W1: $i] :
            ( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) @ ( stldt0 @ xB ) )
            & ! [W2: $i] :
                ( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
               => ( aElementOf0 @ W2 @ ( stldt0 @ xB ) ) )
            & ! [W2: $i] :
                ( ( ( ( aInteger0 @ W2 )
                    & ( ? [W3: $i] :
                          ( ( ( sdtasdt0 @ W1 @ W3 )
                            = ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
                          & ( aInteger0 @ W3 ) )
                      | ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
                      | ( sdteqdtlpzmzozddtrp0 @ W2 @ W0 @ W1 ) ) )
                 => ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) ) )
                & ( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
                 => ( ( aInteger0 @ W2 )
                    & ? [W3: $i] :
                        ( ( ( sdtasdt0 @ W1 @ W3 )
                          = ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
                        & ( aInteger0 @ W3 ) )
                    & ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
                    & ( sdteqdtlpzmzozddtrp0 @ W2 @ W0 @ W1 ) ) ) )
            & ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
            & ( W1 != sz00 )
            & ( aInteger0 @ W1 ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( stldt0 @ xA ) )
      <=> ( ( aInteger0 @ W0 )
          & ~ ( aElementOf0 @ W0 @ xA ) ) )
    & ( aSet0 @ ( stldt0 @ xB ) )
    & ( aSet0 @ ( stldt0 @ xA ) ) ) ).

thf(zip_derived_cl137,plain,
    isOpen0 @ ( stldt0 @ xA ),
    inference(cnf,[status(esa)],[m__1826]) ).

thf(zip_derived_cl182,plain,
    aSubsetOf0 @ ( stldt0 @ xA ) @ cS1395,
    inference(cnf,[status(esa)],[m__1883]) ).

thf(zip_derived_cl187,plain,
    aSubsetOf0 @ ( stldt0 @ xB ) @ cS1395,
    inference(cnf,[status(esa)],[m__1883]) ).

thf(zip_derived_cl153,plain,
    isOpen0 @ ( stldt0 @ xB ),
    inference(cnf,[status(esa)],[m__1826]) ).

thf(zip_derived_cl2672,plain,
    isOpen0 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ),
    inference(demod,[status(thm)],[zip_derived_cl2671,zip_derived_cl137,zip_derived_cl182,zip_derived_cl187,zip_derived_cl153]) ).

thf(zip_derived_cl2673,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl219,zip_derived_cl2672]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM441+6 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pFjYqerJ5q true
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri Aug 25 14:45:55 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
% 0.21/0.63  % Total configuration time : 435
% 0.21/0.63  % Estimated wc time : 1092
% 0.21/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.09/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.09/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.09/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.09/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.09/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.09/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.29/1.00  % Solved by fo/fo6_bce.sh.
% 1.29/1.00  % BCE start: 221
% 1.29/1.00  % BCE eliminated: 1
% 1.29/1.00  % PE start: 220
% 1.29/1.00  logic: eq
% 1.29/1.00  % PE eliminated: 12
% 1.29/1.00  % done 297 iterations in 0.299s
% 1.29/1.00  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.29/1.00  % SZS output start Refutation
% See solution above
% 1.29/1.01  
% 1.29/1.01  
% 1.29/1.01  % Terminating...
% 1.99/1.04  % Runner terminated.
% 1.99/1.06  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------