TSTP Solution File: NUM535+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM535+2 : 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.ECHSQQQUrI true

% Computer : n008.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 12:42:11 EDT 2023

% Result   : Theorem 1.74s 0.97s
% Output   : Refutation 1.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   37
%            Number of leaves      :   34
% Syntax   : Number of formulae    :  158 (  30 unt;  20 typ;   0 def)
%            Number of atoms       :  407 (  80 equ;   0 cnn)
%            Maximal formula atoms :   26 (   2 avg)
%            Number of connectives : 1224 ( 135   ~; 182   |;  38   &; 820   @)
%                                         (  25 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   28 (  28   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   5 con; 0-3 aty)
%            Number of variables   :  119 (   0   ^; 119   !;   0   ?; 119   :)

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

thf(zip_tseitin_1_type,type,
    zip_tseitin_1: $i > $i > $i > $o ).

thf(zip_tseitin_2_type,type,
    zip_tseitin_2: $i > $o ).

thf(aElement0_type,type,
    aElement0: $i > $o ).

thf(zip_tseitin_4_type,type,
    zip_tseitin_4: $i > $o ).

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

thf(sdtmndt0_type,type,
    sdtmndt0: $i > $i > $i ).

thf(xx_type,type,
    xx: $i ).

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

thf(sk__4_type,type,
    sk__4: $i ).

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

thf(zip_tseitin_3_type,type,
    zip_tseitin_3: $i > $o ).

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

thf(sk__5_type,type,
    sk__5: $i ).

thf(zip_tseitin_0_type,type,
    zip_tseitin_0: $i > $i > $i > $o ).

thf(m__,conjecture,
    ( ( ( ! [W0: $i] :
            ( ( aElementOf0 @ W0 @ ( sdtmndt0 @ xS @ xx ) )
          <=> ( ( W0 != xx )
              & ( aElementOf0 @ W0 @ xS )
              & ( aElement0 @ W0 ) ) )
        & ( aSet0 @ ( sdtmndt0 @ xS @ xx ) ) )
     => ( ( ! [W0: $i] :
              ( ( aElementOf0 @ W0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
            <=> ( ( ( W0 = xx )
                  | ( aElementOf0 @ W0 @ ( sdtmndt0 @ xS @ xx ) ) )
                & ( aElement0 @ W0 ) ) )
          & ( aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) )
       => ( ( aSubsetOf0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ xS )
          | ! [W0: $i] :
              ( ( aElementOf0 @ W0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
             => ( aElementOf0 @ W0 @ xS ) ) ) ) )
    & ( ( ! [W0: $i] :
            ( ( aElementOf0 @ W0 @ ( sdtmndt0 @ xS @ xx ) )
          <=> ( ( W0 != xx )
              & ( aElementOf0 @ W0 @ xS )
              & ( aElement0 @ W0 ) ) )
        & ( aSet0 @ ( sdtmndt0 @ xS @ xx ) ) )
     => ( ( ! [W0: $i] :
              ( ( aElementOf0 @ W0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
            <=> ( ( ( W0 = xx )
                  | ( aElementOf0 @ W0 @ ( sdtmndt0 @ xS @ xx ) ) )
                & ( aElement0 @ W0 ) ) )
          & ( aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) )
       => ( ( aSubsetOf0 @ xS @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
          | ! [W0: $i] :
              ( ( aElementOf0 @ W0 @ xS )
             => ( aElementOf0 @ W0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ) ) ) ) ) ).

thf(zf_stmt_0,type,
    zip_tseitin_4: $i > $o ).

thf(zf_stmt_1,axiom,
    ! [W0: $i] :
      ( ( zip_tseitin_4 @ W0 )
    <=> ( ( aElement0 @ W0 )
        & ( zip_tseitin_3 @ W0 ) ) ) ).

thf(zf_stmt_2,type,
    zip_tseitin_3: $i > $o ).

thf(zf_stmt_3,axiom,
    ! [W0: $i] :
      ( ( zip_tseitin_3 @ W0 )
    <=> ( ( aElementOf0 @ W0 @ ( sdtmndt0 @ xS @ xx ) )
        | ( W0 = xx ) ) ) ).

thf(zf_stmt_4,type,
    zip_tseitin_2: $i > $o ).

thf(zf_stmt_5,axiom,
    ! [W0: $i] :
      ( ( zip_tseitin_2 @ W0 )
    <=> ( ( aElement0 @ W0 )
        & ( aElementOf0 @ W0 @ xS )
        & ( W0 != xx ) ) ) ).

thf(zf_stmt_6,conjecture,
    ( ( ( ( aSet0 @ ( sdtmndt0 @ xS @ xx ) )
        & ! [W0: $i] :
            ( ( aElementOf0 @ W0 @ ( sdtmndt0 @ xS @ xx ) )
          <=> ( zip_tseitin_2 @ W0 ) ) )
     => ( ( ( aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
          & ! [W0: $i] :
              ( ( aElementOf0 @ W0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
            <=> ( zip_tseitin_4 @ W0 ) ) )
       => ( ! [W0: $i] :
              ( ( aElementOf0 @ W0 @ xS )
             => ( aElementOf0 @ W0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) )
          | ( aSubsetOf0 @ xS @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ) ) )
    & ( ( ( aSet0 @ ( sdtmndt0 @ xS @ xx ) )
        & ! [W0: $i] :
            ( ( aElementOf0 @ W0 @ ( sdtmndt0 @ xS @ xx ) )
          <=> ( zip_tseitin_2 @ W0 ) ) )
     => ( ( ( aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
          & ! [W0: $i] :
              ( ( aElementOf0 @ W0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
            <=> ( zip_tseitin_4 @ W0 ) ) )
       => ( ! [W0: $i] :
              ( ( aElementOf0 @ W0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
             => ( aElementOf0 @ W0 @ xS ) )
          | ( aSubsetOf0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ xS ) ) ) ) ) ).

thf(zf_stmt_7,negated_conjecture,
    ~ ( ( ( ( aSet0 @ ( sdtmndt0 @ xS @ xx ) )
          & ! [W0: $i] :
              ( ( aElementOf0 @ W0 @ ( sdtmndt0 @ xS @ xx ) )
            <=> ( zip_tseitin_2 @ W0 ) ) )
       => ( ( ( aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
            & ! [W0: $i] :
                ( ( aElementOf0 @ W0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
              <=> ( zip_tseitin_4 @ W0 ) ) )
         => ( ! [W0: $i] :
                ( ( aElementOf0 @ W0 @ xS )
               => ( aElementOf0 @ W0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) )
            | ( aSubsetOf0 @ xS @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ) ) )
      & ( ( ( aSet0 @ ( sdtmndt0 @ xS @ xx ) )
          & ! [W0: $i] :
              ( ( aElementOf0 @ W0 @ ( sdtmndt0 @ xS @ xx ) )
            <=> ( zip_tseitin_2 @ W0 ) ) )
       => ( ( ( aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
            & ! [W0: $i] :
                ( ( aElementOf0 @ W0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
              <=> ( zip_tseitin_4 @ W0 ) ) )
         => ( ! [W0: $i] :
                ( ( aElementOf0 @ W0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
               => ( aElementOf0 @ W0 @ xS ) )
            | ( aSubsetOf0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ xS ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_6]) ).

thf(zip_derived_cl69,plain,
    ! [X1: $i,X5: $i] :
      ( ~ ( zip_tseitin_4 @ X5 )
      | ( aElementOf0 @ X5 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
      | ( aElementOf0 @ X1 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
      | ~ ( zip_tseitin_4 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl1239,plain,
    ! [X0: $i] :
      ( ~ ( zip_tseitin_4 @ X0 )
      | ( aElementOf0 @ X0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
      | ~ ( zip_tseitin_4 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl69]) ).

thf(zip_derived_cl1241,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
      | ~ ( zip_tseitin_4 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1239]) ).

thf(zip_derived_cl89,plain,
    ( ~ ( aElementOf0 @ sk__4 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
    | ~ ( aElementOf0 @ sk__5 @ xS ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl119,plain,
    ! [X3: $i,X7: $i] :
      ( ~ ( zip_tseitin_2 @ X7 )
      | ( aElementOf0 @ X7 @ ( sdtmndt0 @ xS @ xx ) )
      | ( aElementOf0 @ X3 @ ( sdtmndt0 @ xS @ xx ) )
      | ~ ( zip_tseitin_2 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl1469,plain,
    ! [X0: $i] :
      ( ~ ( zip_tseitin_2 @ X0 )
      | ( aElementOf0 @ X0 @ ( sdtmndt0 @ xS @ xx ) )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl119]) ).

thf(zip_derived_cl1471,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ ( sdtmndt0 @ xS @ xx ) )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1469]) ).

thf(mDefCons,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElement0 @ W1 )
        & ( aSet0 @ W0 ) )
     => ! [W2: $i] :
          ( ( W2
            = ( sdtpldt0 @ W0 @ W1 ) )
        <=> ( ! [W3: $i] :
                ( ( aElementOf0 @ W3 @ W2 )
              <=> ( ( ( W3 = W1 )
                    | ( aElementOf0 @ W3 @ W0 ) )
                  & ( aElement0 @ W3 ) ) )
            & ( aSet0 @ W2 ) ) ) ) ).

thf(zf_stmt_8,axiom,
    ! [W3: $i,W1: $i,W0: $i] :
      ( ( zip_tseitin_0 @ W3 @ W1 @ W0 )
    <=> ( ( aElement0 @ W3 )
        & ( ( aElementOf0 @ W3 @ W0 )
          | ( W3 = W1 ) ) ) ) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 @ X2 )
      | ~ ( aElementOf0 @ X0 @ X2 )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_8]) ).

thf(zf_stmt_9,type,
    zip_tseitin_0: $i > $i > $i > $o ).

thf(zf_stmt_10,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aSet0 @ W0 )
        & ( aElement0 @ W1 ) )
     => ! [W2: $i] :
          ( ( W2
            = ( sdtpldt0 @ W0 @ W1 ) )
        <=> ( ( aSet0 @ W2 )
            & ! [W3: $i] :
                ( ( aElementOf0 @ W3 @ W2 )
              <=> ( zip_tseitin_0 @ W3 @ W1 @ W0 ) ) ) ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( zip_tseitin_0 @ X2 @ X1 @ X0 )
      | ( aElementOf0 @ X2 @ X3 )
      | ( X3
       != ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl1024,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( aElementOf0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) )
      | ~ ( zip_tseitin_0 @ X2 @ X0 @ X1 )
      | ~ ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl1095,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElement0 @ X2 )
      | ~ ( aElementOf0 @ X2 @ X0 )
      | ( aElementOf0 @ X2 @ ( sdtpldt0 @ X0 @ X1 ) )
      | ~ ( aElement0 @ X1 )
      | ~ ( aSet0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl1024]) ).

thf(mEOfElem,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ! [W1: $i] :
          ( ( aElementOf0 @ W1 @ W0 )
         => ( aElement0 @ W1 ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mEOfElem]) ).

thf(zip_derived_cl1296,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( aElementOf0 @ X2 @ ( sdtpldt0 @ X0 @ X1 ) )
      | ~ ( aElementOf0 @ X2 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1095,zip_derived_cl2]) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_3 @ X0 )
      | ~ ( zip_tseitin_4 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i] :
      ( ( X0 = xx )
      | ( aElementOf0 @ X0 @ ( sdtmndt0 @ xS @ xx ) )
      | ~ ( zip_tseitin_3 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl856,plain,
    ! [X0: $i] :
      ( ~ ( zip_tseitin_4 @ X0 )
      | ( aElementOf0 @ X0 @ ( sdtmndt0 @ xS @ xx ) )
      | ( X0 = xx ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl47,zip_derived_cl43]) ).

thf(mDefDiff,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElement0 @ W1 )
        & ( aSet0 @ W0 ) )
     => ! [W2: $i] :
          ( ( W2
            = ( sdtmndt0 @ W0 @ W1 ) )
        <=> ( ! [W3: $i] :
                ( ( aElementOf0 @ W3 @ W2 )
              <=> ( ( W3 != W1 )
                  & ( aElementOf0 @ W3 @ W0 )
                  & ( aElement0 @ W3 ) ) )
            & ( aSet0 @ W2 ) ) ) ) ).

thf(zf_stmt_11,type,
    zip_tseitin_1: $i > $i > $i > $o ).

thf(zf_stmt_12,axiom,
    ! [W3: $i,W1: $i,W0: $i] :
      ( ( zip_tseitin_1 @ W3 @ W1 @ W0 )
    <=> ( ( aElement0 @ W3 )
        & ( aElementOf0 @ W3 @ W0 )
        & ( W3 != W1 ) ) ) ).

thf(zf_stmt_13,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aSet0 @ W0 )
        & ( aElement0 @ W1 ) )
     => ! [W2: $i] :
          ( ( W2
            = ( sdtmndt0 @ W0 @ W1 ) )
        <=> ( ( aSet0 @ W2 )
            & ! [W3: $i] :
                ( ( aElementOf0 @ W3 @ W2 )
              <=> ( zip_tseitin_1 @ W3 @ W1 @ W0 ) ) ) ) ) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElementOf0 @ X2 @ X3 )
      | ( zip_tseitin_1 @ X2 @ X1 @ X0 )
      | ( X3
       != ( sdtmndt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_13]) ).

thf(zip_derived_cl1049,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_1 @ X2 @ X1 @ X0 )
      | ~ ( aElementOf0 @ X2 @ ( sdtmndt0 @ X0 @ X1 ) )
      | ~ ( aElement0 @ X1 )
      | ~ ( aSet0 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( aElementOf0 @ X0 @ X1 )
      | ~ ( zip_tseitin_1 @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_12]) ).

thf(zip_derived_cl1124,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElementOf0 @ X2 @ ( sdtmndt0 @ X0 @ X1 ) )
      | ( aElementOf0 @ X2 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1049,zip_derived_cl29]) ).

thf(zip_derived_cl1168,plain,
    ! [X0: $i] :
      ( ( X0 = xx )
      | ~ ( zip_tseitin_4 @ X0 )
      | ~ ( aSet0 @ xS )
      | ~ ( aElement0 @ xx )
      | ( aElementOf0 @ X0 @ xS ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl856,zip_derived_cl1124]) ).

thf(m__617,axiom,
    aSet0 @ xS ).

thf(zip_derived_cl37,plain,
    aSet0 @ xS,
    inference(cnf,[status(esa)],[m__617]) ).

thf(m__617_02,axiom,
    aElementOf0 @ xx @ xS ).

thf(zip_derived_cl38,plain,
    aElementOf0 @ xx @ xS,
    inference(cnf,[status(esa)],[m__617_02]) ).

thf(zip_derived_cl2_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mEOfElem]) ).

thf(zip_derived_cl955,plain,
    ( ( aElement0 @ xx )
    | ~ ( aSet0 @ xS ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl2]) ).

thf(zip_derived_cl37_002,plain,
    aSet0 @ xS,
    inference(cnf,[status(esa)],[m__617]) ).

thf(zip_derived_cl956,plain,
    aElement0 @ xx,
    inference(demod,[status(thm)],[zip_derived_cl955,zip_derived_cl37]) ).

thf(zip_derived_cl1173,plain,
    ! [X0: $i] :
      ( ( X0 = xx )
      | ~ ( zip_tseitin_4 @ X0 )
      | ( aElementOf0 @ X0 @ xS ) ),
    inference(demod,[status(thm)],[zip_derived_cl1168,zip_derived_cl37,zip_derived_cl956]) ).

thf(zip_derived_cl79,plain,
    ( ( aElementOf0 @ sk__4 @ xS )
    | ( aElementOf0 @ sk__5 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i,X4: $i] :
      ( ~ ( aElementOf0 @ X4 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
      | ( zip_tseitin_4 @ X4 )
      | ( zip_tseitin_4 @ X0 )
      | ~ ( aElementOf0 @ X0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl1108,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
      | ( zip_tseitin_4 @ X0 )
      | ( zip_tseitin_4 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl59]) ).

thf(zip_derived_cl1109,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_4 @ X0 )
      | ~ ( aElementOf0 @ X0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1108]) ).

thf(zip_derived_cl1118,plain,
    ( ( aElementOf0 @ sk__4 @ xS )
    | ( zip_tseitin_4 @ sk__5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl1109]) ).

thf(zip_derived_cl1185,plain,
    ( ( aElementOf0 @ sk__5 @ xS )
    | ( sk__5 = xx )
    | ( aElementOf0 @ sk__4 @ xS ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1173,zip_derived_cl1118]) ).

thf(zip_derived_cl80,plain,
    ( ( aElementOf0 @ sk__4 @ xS )
    | ~ ( aElementOf0 @ sk__5 @ xS ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl1215,plain,
    ( ( aElementOf0 @ sk__4 @ xS )
    | ( sk__5 = xx ) ),
    inference(clc,[status(thm)],[zip_derived_cl1185,zip_derived_cl80]) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_2 @ X0 )
      | ( X0 = xx )
      | ~ ( aElementOf0 @ X0 @ xS )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl1217,plain,
    ( ( sk__5 = xx )
    | ( zip_tseitin_2 @ sk__4 )
    | ( sk__4 = xx )
    | ~ ( aElement0 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1215,zip_derived_cl42]) ).

thf(zip_derived_cl1215_003,plain,
    ( ( aElementOf0 @ sk__4 @ xS )
    | ( sk__5 = xx ) ),
    inference(clc,[status(thm)],[zip_derived_cl1185,zip_derived_cl80]) ).

thf(zip_derived_cl2_004,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mEOfElem]) ).

thf(zip_derived_cl1216,plain,
    ( ( sk__5 = xx )
    | ( aElement0 @ sk__4 )
    | ~ ( aSet0 @ xS ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1215,zip_derived_cl2]) ).

thf(zip_derived_cl37_005,plain,
    aSet0 @ xS,
    inference(cnf,[status(esa)],[m__617]) ).

thf(zip_derived_cl1218,plain,
    ( ( sk__5 = xx )
    | ( aElement0 @ sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1216,zip_derived_cl37]) ).

thf(zip_derived_cl1288,plain,
    ( ( sk__4 = xx )
    | ( zip_tseitin_2 @ sk__4 )
    | ( sk__5 = xx ) ),
    inference(clc,[status(thm)],[zip_derived_cl1217,zip_derived_cl1218]) ).

thf(zip_derived_cl1471_006,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ ( sdtmndt0 @ xS @ xx ) )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1469]) ).

thf(zip_derived_cl1296_007,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( aElementOf0 @ X2 @ ( sdtpldt0 @ X0 @ X1 ) )
      | ~ ( aElementOf0 @ X2 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1095,zip_derived_cl2]) ).

thf(zip_derived_cl88,plain,
    ( ~ ( aElementOf0 @ sk__4 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
    | ( aElementOf0 @ sk__5 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl1302,plain,
    ( ~ ( aElementOf0 @ sk__4 @ ( sdtmndt0 @ xS @ xx ) )
    | ~ ( aElement0 @ xx )
    | ~ ( aSet0 @ ( sdtmndt0 @ xS @ xx ) )
    | ( aElementOf0 @ sk__5 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1296,zip_derived_cl88]) ).

thf(zip_derived_cl956_008,plain,
    aElement0 @ xx,
    inference(demod,[status(thm)],[zip_derived_cl955,zip_derived_cl37]) ).

thf(zip_derived_cl129,plain,
    ( ( aSet0 @ ( sdtmndt0 @ xS @ xx ) )
    | ( aSet0 @ ( sdtmndt0 @ xS @ xx ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl968,plain,
    aSet0 @ ( sdtmndt0 @ xS @ xx ),
    inference(simplify,[status(thm)],[zip_derived_cl129]) ).

thf(zip_derived_cl1307,plain,
    ( ~ ( aElementOf0 @ sk__4 @ ( sdtmndt0 @ xS @ xx ) )
    | ( aElementOf0 @ sk__5 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1302,zip_derived_cl956,zip_derived_cl968]) ).

thf(zip_derived_cl1496,plain,
    ( ~ ( zip_tseitin_2 @ sk__4 )
    | ( aElementOf0 @ sk__5 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1471,zip_derived_cl1307]) ).

thf(zip_derived_cl1542,plain,
    ( ( sk__5 = xx )
    | ( sk__4 = xx )
    | ( aElementOf0 @ sk__5 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1288,zip_derived_cl1496]) ).

thf(zip_derived_cl1109_009,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_4 @ X0 )
      | ~ ( aElementOf0 @ X0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1108]) ).

thf(zip_derived_cl1641,plain,
    ( ( sk__4 = xx )
    | ( sk__5 = xx )
    | ( zip_tseitin_4 @ sk__5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl1109]) ).

thf(zip_derived_cl1173_010,plain,
    ! [X0: $i] :
      ( ( X0 = xx )
      | ~ ( zip_tseitin_4 @ X0 )
      | ( aElementOf0 @ X0 @ xS ) ),
    inference(demod,[status(thm)],[zip_derived_cl1168,zip_derived_cl37,zip_derived_cl956]) ).

thf(zip_derived_cl1663,plain,
    ( ( sk__5 = xx )
    | ( sk__4 = xx )
    | ( sk__5 = xx )
    | ( aElementOf0 @ sk__5 @ xS ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1641,zip_derived_cl1173]) ).

thf(zip_derived_cl1665,plain,
    ( ( aElementOf0 @ sk__5 @ xS )
    | ( sk__4 = xx )
    | ( sk__5 = xx ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1663]) ).

thf(zip_derived_cl89_011,plain,
    ( ~ ( aElementOf0 @ sk__4 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
    | ~ ( aElementOf0 @ sk__5 @ xS ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl1726,plain,
    ( ( sk__5 = xx )
    | ( sk__4 = xx )
    | ~ ( aElementOf0 @ sk__4 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1665,zip_derived_cl89]) ).

thf(zip_derived_cl1732,plain,
    ( ~ ( aElementOf0 @ sk__4 @ ( sdtmndt0 @ xS @ xx ) )
    | ~ ( aElement0 @ xx )
    | ~ ( aSet0 @ ( sdtmndt0 @ xS @ xx ) )
    | ( sk__5 = xx )
    | ( sk__4 = xx ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1296,zip_derived_cl1726]) ).

thf(zip_derived_cl956_012,plain,
    aElement0 @ xx,
    inference(demod,[status(thm)],[zip_derived_cl955,zip_derived_cl37]) ).

thf(zip_derived_cl968_013,plain,
    aSet0 @ ( sdtmndt0 @ xS @ xx ),
    inference(simplify,[status(thm)],[zip_derived_cl129]) ).

thf(zip_derived_cl1733,plain,
    ( ~ ( aElementOf0 @ sk__4 @ ( sdtmndt0 @ xS @ xx ) )
    | ( sk__5 = xx )
    | ( sk__4 = xx ) ),
    inference(demod,[status(thm)],[zip_derived_cl1732,zip_derived_cl956,zip_derived_cl968]) ).

thf(zip_derived_cl1748,plain,
    ( ~ ( zip_tseitin_2 @ sk__4 )
    | ( sk__5 = xx )
    | ( sk__4 = xx ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1471,zip_derived_cl1733]) ).

thf(zip_derived_cl1288_014,plain,
    ( ( sk__4 = xx )
    | ( zip_tseitin_2 @ sk__4 )
    | ( sk__5 = xx ) ),
    inference(clc,[status(thm)],[zip_derived_cl1217,zip_derived_cl1218]) ).

thf(zip_derived_cl1751,plain,
    ( ( sk__4 = xx )
    | ( sk__5 = xx ) ),
    inference(clc,[status(thm)],[zip_derived_cl1748,zip_derived_cl1288]) ).

thf(zip_derived_cl80_015,plain,
    ( ( aElementOf0 @ sk__4 @ xS )
    | ~ ( aElementOf0 @ sk__5 @ xS ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl1753,plain,
    ( ( sk__4 = xx )
    | ( aElementOf0 @ sk__4 @ xS )
    | ~ ( aElementOf0 @ xx @ xS ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1751,zip_derived_cl80]) ).

thf(zip_derived_cl38_016,plain,
    aElementOf0 @ xx @ xS,
    inference(cnf,[status(esa)],[m__617_02]) ).

thf(zip_derived_cl1759,plain,
    ( ( sk__4 = xx )
    | ( aElementOf0 @ sk__4 @ xS ) ),
    inference(demod,[status(thm)],[zip_derived_cl1753,zip_derived_cl38]) ).

thf(zip_derived_cl2_017,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mEOfElem]) ).

thf(zip_derived_cl1797,plain,
    ( ( sk__4 = xx )
    | ( aElement0 @ sk__4 )
    | ~ ( aSet0 @ xS ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1759,zip_derived_cl2]) ).

thf(zip_derived_cl37_018,plain,
    aSet0 @ xS,
    inference(cnf,[status(esa)],[m__617]) ).

thf(zip_derived_cl1800,plain,
    ( ( sk__4 = xx )
    | ( aElement0 @ sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1797,zip_derived_cl37]) ).

thf(zip_derived_cl1759_019,plain,
    ( ( sk__4 = xx )
    | ( aElementOf0 @ sk__4 @ xS ) ),
    inference(demod,[status(thm)],[zip_derived_cl1753,zip_derived_cl38]) ).

thf(zip_derived_cl42_020,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_2 @ X0 )
      | ( X0 = xx )
      | ~ ( aElementOf0 @ X0 @ xS )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl1799,plain,
    ( ( sk__4 = xx )
    | ( zip_tseitin_2 @ sk__4 )
    | ( sk__4 = xx )
    | ~ ( aElement0 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1759,zip_derived_cl42]) ).

thf(zip_derived_cl1471_021,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ ( sdtmndt0 @ xS @ xx ) )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1469]) ).

thf(zip_derived_cl1296_022,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( aElementOf0 @ X2 @ ( sdtpldt0 @ X0 @ X1 ) )
      | ~ ( aElementOf0 @ X2 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1095,zip_derived_cl2]) ).

thf(zip_derived_cl1751_023,plain,
    ( ( sk__4 = xx )
    | ( sk__5 = xx ) ),
    inference(clc,[status(thm)],[zip_derived_cl1748,zip_derived_cl1288]) ).

thf(zip_derived_cl89_024,plain,
    ( ~ ( aElementOf0 @ sk__4 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
    | ~ ( aElementOf0 @ sk__5 @ xS ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl1754,plain,
    ( ( sk__4 = xx )
    | ~ ( aElementOf0 @ sk__4 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
    | ~ ( aElementOf0 @ xx @ xS ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1751,zip_derived_cl89]) ).

thf(zip_derived_cl38_025,plain,
    aElementOf0 @ xx @ xS,
    inference(cnf,[status(esa)],[m__617_02]) ).

thf(zip_derived_cl1760,plain,
    ( ( sk__4 = xx )
    | ~ ( aElementOf0 @ sk__4 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1754,zip_derived_cl38]) ).

thf(zip_derived_cl1777,plain,
    ( ~ ( aElementOf0 @ sk__4 @ ( sdtmndt0 @ xS @ xx ) )
    | ~ ( aElement0 @ xx )
    | ~ ( aSet0 @ ( sdtmndt0 @ xS @ xx ) )
    | ( sk__4 = xx ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1296,zip_derived_cl1760]) ).

thf(zip_derived_cl956_026,plain,
    aElement0 @ xx,
    inference(demod,[status(thm)],[zip_derived_cl955,zip_derived_cl37]) ).

thf(zip_derived_cl968_027,plain,
    aSet0 @ ( sdtmndt0 @ xS @ xx ),
    inference(simplify,[status(thm)],[zip_derived_cl129]) ).

thf(zip_derived_cl1778,plain,
    ( ~ ( aElementOf0 @ sk__4 @ ( sdtmndt0 @ xS @ xx ) )
    | ( sk__4 = xx ) ),
    inference(demod,[status(thm)],[zip_derived_cl1777,zip_derived_cl956,zip_derived_cl968]) ).

thf(zip_derived_cl1780,plain,
    ( ~ ( zip_tseitin_2 @ sk__4 )
    | ( sk__4 = xx ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1471,zip_derived_cl1778]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i] :
      ( ( X0 != xx )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl1783,plain,
    ~ ( zip_tseitin_2 @ sk__4 ),
    inference(clc,[status(thm)],[zip_derived_cl1780,zip_derived_cl41]) ).

thf(zip_derived_cl1802,plain,
    ( ( sk__4 = xx )
    | ( sk__4 = xx )
    | ~ ( aElement0 @ sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1799,zip_derived_cl1783]) ).

thf(zip_derived_cl1803,plain,
    ( ~ ( aElement0 @ sk__4 )
    | ( sk__4 = xx ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1802]) ).

thf(zip_derived_cl1817,plain,
    sk__4 = xx,
    inference(clc,[status(thm)],[zip_derived_cl1800,zip_derived_cl1803]) ).

thf(zip_derived_cl1822,plain,
    ( ~ ( aElementOf0 @ xx @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
    | ~ ( aElementOf0 @ sk__5 @ xS ) ),
    inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl1817]) ).

thf(zip_derived_cl1241_028,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
      | ~ ( zip_tseitin_4 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1239]) ).

thf(zip_derived_cl1241_029,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
      | ~ ( zip_tseitin_4 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1239]) ).

thf(zip_derived_cl88_030,plain,
    ( ~ ( aElementOf0 @ sk__4 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
    | ( aElementOf0 @ sk__5 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl1257,plain,
    ( ~ ( zip_tseitin_4 @ sk__4 )
    | ( aElementOf0 @ sk__5 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1241,zip_derived_cl88]) ).

thf(zip_derived_cl1817_031,plain,
    sk__4 = xx,
    inference(clc,[status(thm)],[zip_derived_cl1800,zip_derived_cl1803]) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_3 @ X0 )
      | ( X0 != xx ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_4 @ X0 )
      | ~ ( zip_tseitin_3 @ X0 )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl858,plain,
    ! [X0: $i] :
      ( ( X0 != xx )
      | ~ ( aElement0 @ X0 )
      | ( zip_tseitin_4 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl45,zip_derived_cl48]) ).

thf(zip_derived_cl1012,plain,
    ( ( zip_tseitin_4 @ xx )
    | ~ ( aElement0 @ xx ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl858]) ).

thf(zip_derived_cl956_032,plain,
    aElement0 @ xx,
    inference(demod,[status(thm)],[zip_derived_cl955,zip_derived_cl37]) ).

thf(zip_derived_cl1013,plain,
    zip_tseitin_4 @ xx,
    inference(demod,[status(thm)],[zip_derived_cl1012,zip_derived_cl956]) ).

thf(zip_derived_cl1833,plain,
    aElementOf0 @ sk__5 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ),
    inference(demod,[status(thm)],[zip_derived_cl1257,zip_derived_cl1817,zip_derived_cl1013]) ).

thf(zip_derived_cl1109_033,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_4 @ X0 )
      | ~ ( aElementOf0 @ X0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1108]) ).

thf(zip_derived_cl1879,plain,
    zip_tseitin_4 @ sk__5,
    inference('s_sup-',[status(thm)],[zip_derived_cl1833,zip_derived_cl1109]) ).

thf(zip_derived_cl1173_034,plain,
    ! [X0: $i] :
      ( ( X0 = xx )
      | ~ ( zip_tseitin_4 @ X0 )
      | ( aElementOf0 @ X0 @ xS ) ),
    inference(demod,[status(thm)],[zip_derived_cl1168,zip_derived_cl37,zip_derived_cl956]) ).

thf(zip_derived_cl1892,plain,
    ( ( sk__5 = xx )
    | ( aElementOf0 @ sk__5 @ xS ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1879,zip_derived_cl1173]) ).

thf(zip_derived_cl1822_035,plain,
    ( ~ ( aElementOf0 @ xx @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
    | ~ ( aElementOf0 @ sk__5 @ xS ) ),
    inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl1817]) ).

thf(zip_derived_cl1909,plain,
    ( ( sk__5 = xx )
    | ~ ( aElementOf0 @ xx @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1892,zip_derived_cl1822]) ).

thf(zip_derived_cl1932,plain,
    ( ~ ( zip_tseitin_4 @ xx )
    | ( sk__5 = xx ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1241,zip_derived_cl1909]) ).

thf(zip_derived_cl1013_036,plain,
    zip_tseitin_4 @ xx,
    inference(demod,[status(thm)],[zip_derived_cl1012,zip_derived_cl956]) ).

thf(zip_derived_cl1936,plain,
    sk__5 = xx,
    inference(demod,[status(thm)],[zip_derived_cl1932,zip_derived_cl1013]) ).

thf(zip_derived_cl38_037,plain,
    aElementOf0 @ xx @ xS,
    inference(cnf,[status(esa)],[m__617_02]) ).

thf(zip_derived_cl1940,plain,
    ~ ( aElementOf0 @ xx @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ),
    inference(demod,[status(thm)],[zip_derived_cl1822,zip_derived_cl1936,zip_derived_cl38]) ).

thf(zip_derived_cl1950,plain,
    ~ ( zip_tseitin_4 @ xx ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1241,zip_derived_cl1940]) ).

thf(zip_derived_cl1013_038,plain,
    zip_tseitin_4 @ xx,
    inference(demod,[status(thm)],[zip_derived_cl1012,zip_derived_cl956]) ).

thf(zip_derived_cl1954,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1950,zip_derived_cl1013]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM535+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ECHSQQQUrI true
% 0.14/0.35  % Computer : n008.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri Aug 25 13:37:17 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.64  % Total configuration time : 435
% 0.22/0.64  % Estimated wc time : 1092
% 0.22/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.74/0.97  % Solved by fo/fo6_bce.sh.
% 1.74/0.97  % BCE start: 130
% 1.74/0.97  % BCE eliminated: 4
% 1.74/0.97  % PE start: 126
% 1.74/0.97  logic: eq
% 1.74/0.97  % PE eliminated: 2
% 1.74/0.97  % done 366 iterations in 0.253s
% 1.74/0.97  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.74/0.97  % SZS output start Refutation
% See solution above
% 1.74/0.98  
% 1.74/0.98  
% 1.74/0.98  % Terminating...
% 1.90/1.05  % Runner terminated.
% 1.90/1.07  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------