TSTP Solution File: NUM534+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM534+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8odIeBACcZ true

% Computer : n027.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 1.45s 0.89s
% Output   : Refutation 1.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  138 (  36 unt;  17 typ;   0 def)
%            Number of atoms       :  345 (  45 equ;   0 cnn)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives : 1416 ( 140   ~; 172   |;  23   &;1052   @)
%                                         (  15 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   24 (  24   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   3 con; 0-3 aty)
%            Number of variables   :  109 (   0   ^; 109   !;   0   ?; 109   :)

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(mDefSub,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ! [W1: $i] :
          ( ( aSubsetOf0 @ W1 @ W0 )
        <=> ( ( aSet0 @ W1 )
            & ! [W2: $i] :
                ( ( aElementOf0 @ W2 @ W1 )
               => ( aElementOf0 @ W2 @ W0 ) ) ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSet0 @ X0 )
      | ( aElementOf0 @ ( sk__1 @ X0 @ X1 ) @ X0 )
      | ( aSubsetOf0 @ X0 @ X1 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

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_0,axiom,
    ! [W3: $i,W1: $i,W0: $i] :
      ( ( zip_tseitin_1 @ W3 @ W1 @ W0 )
    <=> ( ( aElement0 @ W3 )
        & ( aElementOf0 @ W3 @ W0 )
        & ( W3 != W1 ) ) ) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_1 @ X0 @ X1 @ X2 )
      | ( X0 = X1 )
      | ~ ( aElementOf0 @ X0 @ X2 )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zf_stmt_1,type,
    zip_tseitin_1: $i > $i > $i > $o ).

thf(zf_stmt_2,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_cl34,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( zip_tseitin_1 @ X2 @ X1 @ X0 )
      | ( aElementOf0 @ X2 @ X3 )
      | ( X3
       != ( sdtmndt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl612,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( aElementOf0 @ X2 @ ( sdtmndt0 @ X1 @ X0 ) )
      | ~ ( zip_tseitin_1 @ X2 @ X0 @ X1 )
      | ~ ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl613,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElement0 @ X2 )
      | ~ ( aElementOf0 @ X2 @ X0 )
      | ( X2 = X1 )
      | ( aElementOf0 @ X2 @ ( sdtmndt0 @ X0 @ X1 ) )
      | ~ ( aElement0 @ X1 )
      | ~ ( aSet0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl612]) ).

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_cl614,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( aElementOf0 @ X2 @ ( sdtmndt0 @ X0 @ X1 ) )
      | ( X2 = X1 )
      | ~ ( aElementOf0 @ X2 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl613,zip_derived_cl2]) ).

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 ) ) )
     => ( ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx )
        = xS ) ) ) ).

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

thf(zip_derived_cl44,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_3 @ X0 )
      | ~ ( aElementOf0 @ X0 @ ( sdtmndt0 @ xS @ xx ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zf_stmt_4,axiom,
    ! [W0: $i] :
      ( ( zip_tseitin_4 @ W0 )
    <=> ( ( aElement0 @ W0 )
        & ( zip_tseitin_3 @ W0 ) ) ) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_4 @ X0 )
      | ~ ( zip_tseitin_3 @ X0 )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl332,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ ( sdtmndt0 @ xS @ xx ) )
      | ~ ( aElement0 @ X0 )
      | ( zip_tseitin_4 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl44,zip_derived_cl48]) ).

thf(zf_stmt_5,type,
    zip_tseitin_4: $i > $o ).

thf(zf_stmt_6,type,
    zip_tseitin_3: $i > $o ).

thf(zf_stmt_7,type,
    zip_tseitin_2: $i > $o ).

thf(zf_stmt_8,axiom,
    ! [W0: $i] :
      ( ( zip_tseitin_2 @ W0 )
    <=> ( ( aElement0 @ W0 )
        & ( aElementOf0 @ W0 @ xS )
        & ( W0 != xx ) ) ) ).

thf(zf_stmt_9,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 ) ) )
     => ( ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx )
        = xS ) ) ) ).

thf(zf_stmt_10,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 ) ) )
       => ( ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx )
          = xS ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_9]) ).

thf(zip_derived_cl53,plain,
    ! [X2: $i] :
      ( ( aElementOf0 @ X2 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
      | ~ ( zip_tseitin_4 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl346,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElementOf0 @ X0 @ ( sdtmndt0 @ xS @ xx ) )
      | ( aElementOf0 @ X0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl332,zip_derived_cl53]) ).

thf(zip_derived_cl51,plain,
    ! [X1: $i] :
      ( ( zip_tseitin_2 @ X1 )
      | ~ ( aElementOf0 @ X1 @ ( sdtmndt0 @ xS @ xx ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i] :
      ( ( aElement0 @ X0 )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_8]) ).

thf(zip_derived_cl338,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ ( sdtmndt0 @ xS @ xx ) )
      | ( aElement0 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl51,zip_derived_cl39]) ).

thf(zip_derived_cl498,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
      | ~ ( aElementOf0 @ X0 @ ( sdtmndt0 @ xS @ xx ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl346,zip_derived_cl338]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElementOf0 @ ( sk__1 @ X0 @ X1 ) @ X1 )
      | ( aSubsetOf0 @ X0 @ X1 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(zip_derived_cl502,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ ( sk__1 @ X0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) @ ( sdtmndt0 @ xS @ xx ) )
      | ~ ( aSet0 @ X0 )
      | ( aSubsetOf0 @ X0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
      | ~ ( aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl498,zip_derived_cl11]) ).

thf(zip_derived_cl55,plain,
    aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl504,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ ( sk__1 @ X0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) @ ( sdtmndt0 @ xS @ xx ) )
      | ~ ( aSet0 @ X0 )
      | ( aSubsetOf0 @ X0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl502,zip_derived_cl55]) ).

thf(zip_derived_cl620,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ ( sk__1 @ X0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) @ xS )
      | ( ( sk__1 @ X0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
        = xx )
      | ~ ( aElement0 @ xx )
      | ~ ( aSet0 @ xS )
      | ~ ( aSet0 @ X0 )
      | ( aSubsetOf0 @ X0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl614,zip_derived_cl504]) ).

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_cl447,plain,
    ( ( aElement0 @ xx )
    | ~ ( aSet0 @ xS ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl2]) ).

thf(m__617,axiom,
    aSet0 @ xS ).

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

thf(zip_derived_cl448,plain,
    aElement0 @ xx,
    inference(demod,[status(thm)],[zip_derived_cl447,zip_derived_cl37]) ).

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

thf(zip_derived_cl625,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ ( sk__1 @ X0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) @ xS )
      | ( ( sk__1 @ X0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
        = xx )
      | ~ ( aSet0 @ X0 )
      | ( aSubsetOf0 @ X0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl620,zip_derived_cl448,zip_derived_cl37]) ).

thf(zip_derived_cl941,plain,
    ( ~ ( aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
    | ( aSubsetOf0 @ xS @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
    | ~ ( aSet0 @ xS )
    | ( ( sk__1 @ xS @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
      = xx )
    | ~ ( aSet0 @ xS )
    | ( aSubsetOf0 @ xS @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl625]) ).

thf(zip_derived_cl55_003,plain,
    aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl37_004,plain,
    aSet0 @ xS,
    inference(cnf,[status(esa)],[m__617]) ).

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

thf(zip_derived_cl943,plain,
    ( ( aSubsetOf0 @ xS @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
    | ( ( sk__1 @ xS @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
      = xx )
    | ( aSubsetOf0 @ xS @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl941,zip_derived_cl55,zip_derived_cl37,zip_derived_cl37]) ).

thf(zip_derived_cl944,plain,
    ( ( ( sk__1 @ xS @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
      = xx )
    | ( aSubsetOf0 @ xS @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl943]) ).

thf(zip_derived_cl11_006,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElementOf0 @ ( sk__1 @ X0 @ X1 ) @ X1 )
      | ( aSubsetOf0 @ X0 @ X1 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(zip_derived_cl948,plain,
    ( ( aSubsetOf0 @ xS @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
    | ~ ( aSet0 @ xS )
    | ~ ( aElementOf0 @ xx @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
    | ( aSubsetOf0 @ xS @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
    | ~ ( aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl944,zip_derived_cl11]) ).

thf(zip_derived_cl37_007,plain,
    aSet0 @ xS,
    inference(cnf,[status(esa)],[m__617]) ).

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

thf(zip_derived_cl48_008,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_4 @ X0 )
      | ~ ( zip_tseitin_3 @ X0 )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl333,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_cl53_009,plain,
    ! [X2: $i] :
      ( ( aElementOf0 @ X2 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
      | ~ ( zip_tseitin_4 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl349,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( X0 != xx )
      | ( aElementOf0 @ X0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl333,zip_derived_cl53]) ).

thf(zip_derived_cl12_010,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSet0 @ X0 )
      | ( aElementOf0 @ ( sk__1 @ X0 @ X1 ) @ X0 )
      | ( aSubsetOf0 @ X0 @ X1 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(zip_derived_cl54,plain,
    ! [X3: $i] :
      ( ( zip_tseitin_4 @ X3 )
      | ~ ( aElementOf0 @ X3 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_3 @ X0 )
      | ~ ( zip_tseitin_4 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

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_cl331,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(zip_derived_cl344,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
      | ( X0 = xx )
      | ( aElementOf0 @ X0 @ ( sdtmndt0 @ xS @ xx ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl54,zip_derived_cl331]) ).

thf(zip_derived_cl477,plain,
    ! [X0: $i] :
      ( ~ ( aSet0 @ X0 )
      | ( aSubsetOf0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ X0 )
      | ~ ( aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
      | ( ( sk__1 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ X0 )
        = xx )
      | ( aElementOf0 @ ( sk__1 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ X0 ) @ ( sdtmndt0 @ xS @ xx ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl344]) ).

thf(zip_derived_cl55_011,plain,
    aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl479,plain,
    ! [X0: $i] :
      ( ~ ( aSet0 @ X0 )
      | ( aSubsetOf0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ X0 )
      | ( ( sk__1 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ X0 )
        = xx )
      | ( aElementOf0 @ ( sk__1 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ X0 ) @ ( sdtmndt0 @ xS @ xx ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl477,zip_derived_cl55]) ).

thf(zip_derived_cl11_012,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElementOf0 @ ( sk__1 @ X0 @ X1 ) @ X1 )
      | ( aSubsetOf0 @ X0 @ X1 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(zip_derived_cl676,plain,
    ( ( ( sk__1 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ ( sdtmndt0 @ xS @ xx ) )
      = xx )
    | ( aSubsetOf0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ ( sdtmndt0 @ xS @ xx ) )
    | ~ ( aSet0 @ ( sdtmndt0 @ xS @ xx ) )
    | ~ ( aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
    | ( aSubsetOf0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ ( sdtmndt0 @ xS @ xx ) )
    | ~ ( aSet0 @ ( sdtmndt0 @ xS @ xx ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl479,zip_derived_cl11]) ).

thf(zip_derived_cl49,plain,
    aSet0 @ ( sdtmndt0 @ xS @ xx ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl55_013,plain,
    aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl49_014,plain,
    aSet0 @ ( sdtmndt0 @ xS @ xx ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl679,plain,
    ( ( ( sk__1 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ ( sdtmndt0 @ xS @ xx ) )
      = xx )
    | ( aSubsetOf0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ ( sdtmndt0 @ xS @ xx ) )
    | ( aSubsetOf0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ ( sdtmndt0 @ xS @ xx ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl676,zip_derived_cl49,zip_derived_cl55,zip_derived_cl49]) ).

thf(zip_derived_cl680,plain,
    ( ( aSubsetOf0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ ( sdtmndt0 @ xS @ xx ) )
    | ( ( sk__1 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ ( sdtmndt0 @ xS @ xx ) )
      = xx ) ),
    inference(simplify,[status(thm)],[zip_derived_cl679]) ).

thf(zip_derived_cl12_015,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSet0 @ X0 )
      | ( aElementOf0 @ ( sk__1 @ X0 @ X1 ) @ X0 )
      | ( aSubsetOf0 @ X0 @ X1 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(zip_derived_cl706,plain,
    ( ( aSubsetOf0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ ( sdtmndt0 @ xS @ xx ) )
    | ~ ( aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
    | ( aElementOf0 @ xx @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
    | ( aSubsetOf0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ ( sdtmndt0 @ xS @ xx ) )
    | ~ ( aSet0 @ ( sdtmndt0 @ xS @ xx ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl680,zip_derived_cl12]) ).

thf(zip_derived_cl55_016,plain,
    aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl49_017,plain,
    aSet0 @ ( sdtmndt0 @ xS @ xx ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl711,plain,
    ( ( aSubsetOf0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ ( sdtmndt0 @ xS @ xx ) )
    | ( aElementOf0 @ xx @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
    | ( aSubsetOf0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ ( sdtmndt0 @ xS @ xx ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl706,zip_derived_cl55,zip_derived_cl49]) ).

thf(zip_derived_cl712,plain,
    ( ( aElementOf0 @ xx @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
    | ( aSubsetOf0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ ( sdtmndt0 @ xS @ xx ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl711]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ X1 )
      | ( aElementOf0 @ X2 @ X1 )
      | ~ ( aElementOf0 @ X2 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(zip_derived_cl717,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ xx @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
      | ( aElementOf0 @ X0 @ ( sdtmndt0 @ xS @ xx ) )
      | ~ ( aElementOf0 @ X0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
      | ~ ( aSet0 @ ( sdtmndt0 @ xS @ xx ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl712,zip_derived_cl13]) ).

thf(zip_derived_cl49_018,plain,
    aSet0 @ ( sdtmndt0 @ xS @ xx ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl723,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ xx @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
      | ( aElementOf0 @ X0 @ ( sdtmndt0 @ xS @ xx ) )
      | ~ ( aElementOf0 @ X0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl717,zip_derived_cl49]) ).

thf(zip_derived_cl857,plain,
    ! [X0: $i] :
      ( ( X0 != xx )
      | ~ ( aElement0 @ X0 )
      | ( aElementOf0 @ xx @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
      | ( aElementOf0 @ X0 @ ( sdtmndt0 @ xS @ xx ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl349,zip_derived_cl723]) ).

thf(zip_derived_cl51_019,plain,
    ! [X1: $i] :
      ( ( zip_tseitin_2 @ X1 )
      | ~ ( aElementOf0 @ X1 @ ( sdtmndt0 @ xS @ xx ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i] :
      ( ( X0 != xx )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_8]) ).

thf(zip_derived_cl340,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ ( sdtmndt0 @ xS @ xx ) )
      | ( X0 != xx ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl51,zip_derived_cl41]) ).

thf(zip_derived_cl878,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ xx @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
      | ~ ( aElement0 @ X0 )
      | ( X0 != xx ) ),
    inference(clc,[status(thm)],[zip_derived_cl857,zip_derived_cl340]) ).

thf(zip_derived_cl879,plain,
    ( ~ ( aElement0 @ xx )
    | ( aElementOf0 @ xx @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl878]) ).

thf(zip_derived_cl448_020,plain,
    aElement0 @ xx,
    inference(demod,[status(thm)],[zip_derived_cl447,zip_derived_cl37]) ).

thf(zip_derived_cl880,plain,
    aElementOf0 @ xx @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ),
    inference(demod,[status(thm)],[zip_derived_cl879,zip_derived_cl448]) ).

thf(zip_derived_cl55_021,plain,
    aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl955,plain,
    ( ( aSubsetOf0 @ xS @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
    | ( aSubsetOf0 @ xS @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl948,zip_derived_cl37,zip_derived_cl880,zip_derived_cl55]) ).

thf(zip_derived_cl956,plain,
    aSubsetOf0 @ xS @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ),
    inference(simplify,[status(thm)],[zip_derived_cl955]) ).

thf(mSubASymm,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aSet0 @ W0 )
        & ( aSet0 @ W1 ) )
     => ( ( ( aSubsetOf0 @ W0 @ W1 )
          & ( aSubsetOf0 @ W1 @ W0 ) )
       => ( W0 = W1 ) ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aSet0 @ X1 )
      | ( X0 = X1 )
      | ~ ( aSubsetOf0 @ X1 @ X0 )
      | ~ ( aSubsetOf0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mSubASymm]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ X1 )
      | ( aSet0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(zip_derived_cl494,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ X1 )
      | ~ ( aSubsetOf0 @ X1 @ X0 )
      | ( X0 = X1 )
      | ~ ( aSet0 @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl17,zip_derived_cl14]) ).

thf(zip_derived_cl972,plain,
    ( ~ ( aSubsetOf0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ xS )
    | ( xS
      = ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
    | ~ ( aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl956,zip_derived_cl494]) ).

thf(zip_derived_cl55_022,plain,
    aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl976,plain,
    ( ~ ( aSubsetOf0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ xS )
    | ( xS
      = ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl972,zip_derived_cl55]) ).

thf(zip_derived_cl52,plain,
    ( ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx )
   != xS ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl977,plain,
    ~ ( aSubsetOf0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ xS ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl976,zip_derived_cl52]) ).

thf(zip_derived_cl479_023,plain,
    ! [X0: $i] :
      ( ~ ( aSet0 @ X0 )
      | ( aSubsetOf0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ X0 )
      | ( ( sk__1 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ X0 )
        = xx )
      | ( aElementOf0 @ ( sk__1 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ X0 ) @ ( sdtmndt0 @ xS @ xx ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl477,zip_derived_cl55]) ).

thf(zip_derived_cl51_024,plain,
    ! [X1: $i] :
      ( ( zip_tseitin_2 @ X1 )
      | ~ ( aElementOf0 @ X1 @ ( sdtmndt0 @ xS @ xx ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ xS )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_8]) ).

thf(zip_derived_cl339,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ ( sdtmndt0 @ xS @ xx ) )
      | ( aElementOf0 @ X0 @ xS ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl51,zip_derived_cl40]) ).

thf(zip_derived_cl675,plain,
    ! [X0: $i] :
      ( ( ( sk__1 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ X0 )
        = xx )
      | ( aSubsetOf0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ X0 )
      | ~ ( aSet0 @ X0 )
      | ( aElementOf0 @ ( sk__1 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ X0 ) @ xS ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl479,zip_derived_cl339]) ).

thf(zip_derived_cl11_025,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElementOf0 @ ( sk__1 @ X0 @ X1 ) @ X1 )
      | ( aSubsetOf0 @ X0 @ X1 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(zip_derived_cl1098,plain,
    ( ~ ( aSet0 @ xS )
    | ( aSubsetOf0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ xS )
    | ( ( sk__1 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ xS )
      = xx )
    | ~ ( aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
    | ( aSubsetOf0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ xS )
    | ~ ( aSet0 @ xS ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl11]) ).

thf(zip_derived_cl37_026,plain,
    aSet0 @ xS,
    inference(cnf,[status(esa)],[m__617]) ).

thf(zip_derived_cl977_027,plain,
    ~ ( aSubsetOf0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ xS ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl976,zip_derived_cl52]) ).

thf(zip_derived_cl55_028,plain,
    aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl977_029,plain,
    ~ ( aSubsetOf0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ xS ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl976,zip_derived_cl52]) ).

thf(zip_derived_cl37_030,plain,
    aSet0 @ xS,
    inference(cnf,[status(esa)],[m__617]) ).

thf(zip_derived_cl1106,plain,
    ( ( sk__1 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ xS )
    = xx ),
    inference(demod,[status(thm)],[zip_derived_cl1098,zip_derived_cl37,zip_derived_cl977,zip_derived_cl55,zip_derived_cl977,zip_derived_cl37]) ).

thf(zip_derived_cl11_031,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElementOf0 @ ( sk__1 @ X0 @ X1 ) @ X1 )
      | ( aSubsetOf0 @ X0 @ X1 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(zip_derived_cl1113,plain,
    ( ~ ( aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) )
    | ~ ( aElementOf0 @ xx @ xS )
    | ( aSubsetOf0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ xS )
    | ~ ( aSet0 @ xS ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1106,zip_derived_cl11]) ).

thf(zip_derived_cl55_032,plain,
    aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl38_033,plain,
    aElementOf0 @ xx @ xS,
    inference(cnf,[status(esa)],[m__617_02]) ).

thf(zip_derived_cl37_034,plain,
    aSet0 @ xS,
    inference(cnf,[status(esa)],[m__617]) ).

thf(zip_derived_cl1119,plain,
    aSubsetOf0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ xS,
    inference(demod,[status(thm)],[zip_derived_cl1113,zip_derived_cl55,zip_derived_cl38,zip_derived_cl37]) ).

thf(zip_derived_cl1125,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl977,zip_derived_cl1119]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM534+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8odIeBACcZ true
% 0.17/0.35  % Computer : n027.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Fri Aug 25 15:33:48 EDT 2023
% 0.17/0.35  % CPUTime  : 
% 0.17/0.35  % Running portfolio for 300 s
% 0.17/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.35  % Number of cores: 8
% 0.17/0.36  % Python version: Python 3.6.8
% 0.21/0.36  % Running in FO mode
% 0.21/0.67  % Total configuration time : 435
% 0.21/0.67  % Estimated wc time : 1092
% 0.21/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.13/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.13/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.13/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.13/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.13/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.13/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.45/0.89  % Solved by fo/fo6_bce.sh.
% 1.45/0.89  % BCE start: 56
% 1.45/0.89  % BCE eliminated: 4
% 1.45/0.89  % PE start: 52
% 1.45/0.89  logic: eq
% 1.45/0.89  % PE eliminated: 6
% 1.45/0.89  % done 185 iterations in 0.153s
% 1.45/0.89  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.45/0.89  % SZS output start Refutation
% See solution above
% 1.45/0.89  
% 1.45/0.89  
% 1.45/0.90  % Terminating...
% 1.46/0.97  % Runner terminated.
% 1.46/0.99  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------