↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG106+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dGBm7h4aR5 true

% Computer : n028.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 Oct  2 04:50:33 PM UTC 2025

% Result   : Theorem 0.58s 1.07s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   85 (  24 unt;   0 typ;   0 def)
%            Number of atoms       :  224 (  14 equ;   0 cnn)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  855 ( 119   ~; 102   |;  23   &; 597   @)
%                                         (   3 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   3 con; 0-2 aty)
%            Number of variables   :   66 (   0   ^;  61   !;   5   ?;  66   :)

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

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

thf(sk__10_type,type,
    sk__10: $i > $i ).

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

thf(sk__8_type,type,
    sk__8: $i > $i ).

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

thf(slsdtgt0_type,type,
    slsdtgt0: $i > $i ).

thf(aIdeal0_type,type,
    aIdeal0: $i > $o ).

thf(xc_type,type,
    xc: $i ).

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

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

thf(sk__9_type,type,
    sk__9: $i > $i ).

thf(mDefPrIdeal,axiom,
    ! [W0: $i] :
      ( ( aElement0 @ W0 )
     => ! [W1: $i] :
          ( ( W1
            = ( slsdtgt0 @ W0 ) )
        <=> ( ( aSet0 @ W1 )
            & ! [W2: $i] :
                ( ( aElementOf0 @ W2 @ W1 )
              <=> ? [W3: $i] :
                    ( ( ( sdtasdt0 @ W0 @ W3 )
                      = W2 )
                    & ( aElement0 @ W3 ) ) ) ) ) ) ).

thf(zip_derived_cl92,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
       != ( slsdtgt0 @ X0 ) )
      | ( aSet0 @ X1 )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefPrIdeal]) ).

thf(zip_derived_cl110,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( aSet0 @ ( slsdtgt0 @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl92]) ).

thf(mMulUnit,axiom,
    ! [W0: $i] :
      ( ( aElement0 @ W0 )
     => ( ( ( sdtasdt0 @ W0 @ sz10 )
          = W0 )
        & ( W0
          = ( sdtasdt0 @ sz10 @ W0 ) ) ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sdtasdt0 @ sz10 @ X0 ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mMulUnit]) ).

thf(zip_derived_cl110_001,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( aSet0 @ ( slsdtgt0 @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl92]) ).

thf(mDefIdeal,axiom,
    ! [W0: $i] :
      ( ( aIdeal0 @ W0 )
    <=> ( ( aSet0 @ W0 )
        & ! [W1: $i] :
            ( ( aElementOf0 @ W1 @ W0 )
           => ( ! [W2: $i] :
                  ( ( aElementOf0 @ W2 @ W0 )
                 => ( aElementOf0 @ ( sdtpldt0 @ W1 @ W2 ) @ W0 ) )
              & ! [W2: $i] :
                  ( ( aElement0 @ W2 )
                 => ( aElementOf0 @ ( sdtasdt0 @ W2 @ W1 ) @ W0 ) ) ) ) ) ) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i] :
      ( ( aIdeal0 @ X0 )
      | ( aElementOf0 @ ( sk__8 @ X0 ) @ X0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefIdeal]) ).

thf(m__,conjecture,
    ( ! [W0: $i,W1: $i,W2: $i] :
        ( ( ( aElementOf0 @ W0 @ ( slsdtgt0 @ xc ) )
          & ( aElementOf0 @ W1 @ ( slsdtgt0 @ xc ) )
          & ( aElement0 @ W2 ) )
       => ? [W3: $i] :
            ( ? [W4: $i] :
                ( ( aElementOf0 @ ( sdtasdt0 @ W2 @ W0 ) @ ( slsdtgt0 @ xc ) )
                & ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( slsdtgt0 @ xc ) )
                & ( ( sdtasdt0 @ W2 @ W0 )
                  = ( sdtasdt0 @ xc @ ( sdtasdt0 @ W3 @ W2 ) ) )
                & ( ( sdtpldt0 @ W0 @ W1 )
                  = ( sdtasdt0 @ xc @ ( sdtpldt0 @ W3 @ W4 ) ) )
                & ( ( sdtasdt0 @ xc @ W4 )
                  = W1 )
                & ( aElement0 @ W4 ) )
            & ( ( sdtasdt0 @ xc @ W3 )
              = W0 )
            & ( aElement0 @ W3 ) ) )
   => ( aIdeal0 @ ( slsdtgt0 @ xc ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [W0: $i,W1: $i,W2: $i] :
          ( ( ( aElementOf0 @ W0 @ ( slsdtgt0 @ xc ) )
            & ( aElementOf0 @ W1 @ ( slsdtgt0 @ xc ) )
            & ( aElement0 @ W2 ) )
         => ? [W3: $i] :
              ( ? [W4: $i] :
                  ( ( aElementOf0 @ ( sdtasdt0 @ W2 @ W0 ) @ ( slsdtgt0 @ xc ) )
                  & ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( slsdtgt0 @ xc ) )
                  & ( ( sdtasdt0 @ W2 @ W0 )
                    = ( sdtasdt0 @ xc @ ( sdtasdt0 @ W3 @ W2 ) ) )
                  & ( ( sdtpldt0 @ W0 @ W1 )
                    = ( sdtasdt0 @ xc @ ( sdtpldt0 @ W3 @ W4 ) ) )
                  & ( ( sdtasdt0 @ xc @ W4 )
                    = W1 )
                  & ( aElement0 @ W4 ) )
              & ( ( sdtasdt0 @ xc @ W3 )
                = W0 )
              & ( aElement0 @ W3 ) ) )
     => ( aIdeal0 @ ( slsdtgt0 @ xc ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl99,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElementOf0 @ X0 @ ( slsdtgt0 @ xc ) )
      | ~ ( aElementOf0 @ X1 @ ( slsdtgt0 @ xc ) )
      | ~ ( aElement0 @ X2 )
      | ( aElementOf0 @ ( sdtasdt0 @ X2 @ X1 ) @ ( slsdtgt0 @ xc ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl103,plain,
    ! [X0: $i,X1: $i] :
      ( ( aElementOf0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( slsdtgt0 @ xc ) )
      | ~ ( aElementOf0 @ X0 @ ( slsdtgt0 @ xc ) )
      | ~ ( aElement0 @ X1 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl99]) ).

thf(zip_derived_cl396,plain,
    ! [X0: $i] :
      ( ~ ( aSet0 @ ( slsdtgt0 @ xc ) )
      | ( aIdeal0 @ ( slsdtgt0 @ xc ) )
      | ( aElementOf0 @ ( sdtasdt0 @ X0 @ ( sk__8 @ ( slsdtgt0 @ xc ) ) ) @ ( slsdtgt0 @ xc ) )
      | ~ ( aElement0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl103]) ).

thf(zip_derived_cl102,plain,
    ~ ( aIdeal0 @ ( slsdtgt0 @ xc ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl404,plain,
    ! [X0: $i] :
      ( ~ ( aSet0 @ ( slsdtgt0 @ xc ) )
      | ( aElementOf0 @ ( sdtasdt0 @ X0 @ ( sk__8 @ ( slsdtgt0 @ xc ) ) ) @ ( slsdtgt0 @ xc ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl396,zip_derived_cl102]) ).

thf(zip_derived_cl580,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ xc )
      | ( aElementOf0 @ ( sdtasdt0 @ X0 @ ( sk__8 @ ( slsdtgt0 @ xc ) ) ) @ ( slsdtgt0 @ xc ) )
      | ~ ( aElement0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl404]) ).

thf(m__1905,axiom,
    aElement0 @ xc ).

thf(zip_derived_cl93,plain,
    aElement0 @ xc,
    inference(cnf,[status(esa)],[m__1905]) ).

thf(zip_derived_cl587,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ ( sdtasdt0 @ X0 @ ( sk__8 @ ( slsdtgt0 @ xc ) ) ) @ ( slsdtgt0 @ xc ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl580,zip_derived_cl93]) ).

thf(zip_derived_cl599,plain,
    ( ~ ( aElement0 @ ( sk__8 @ ( slsdtgt0 @ xc ) ) )
    | ( aElementOf0 @ ( sk__8 @ ( slsdtgt0 @ xc ) ) @ ( slsdtgt0 @ xc ) )
    | ~ ( aElement0 @ sz10 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl587]) ).

thf(mSortsC_01,axiom,
    aElement0 @ sz10 ).

thf(zip_derived_cl2,plain,
    aElement0 @ sz10,
    inference(cnf,[status(esa)],[mSortsC_01]) ).

thf(zip_derived_cl605,plain,
    ( ~ ( aElement0 @ ( sk__8 @ ( slsdtgt0 @ xc ) ) )
    | ( aElementOf0 @ ( sk__8 @ ( slsdtgt0 @ xc ) ) @ ( slsdtgt0 @ xc ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl599,zip_derived_cl2]) ).

thf(zip_derived_cl110_002,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( aSet0 @ ( slsdtgt0 @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl92]) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i] :
      ( ( aIdeal0 @ X0 )
      | ( aElement0 @ ( sk__10 @ X0 ) )
      | ( aElementOf0 @ ( sk__9 @ X0 ) @ X0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefIdeal]) ).

thf(zip_derived_cl110_003,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( aSet0 @ ( slsdtgt0 @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl92]) ).

thf(zip_derived_cl110_004,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( aSet0 @ ( slsdtgt0 @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl92]) ).

thf(zip_derived_cl50_005,plain,
    ! [X0: $i] :
      ( ( aIdeal0 @ X0 )
      | ( aElementOf0 @ ( sk__8 @ X0 ) @ X0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefIdeal]) ).

thf(zip_derived_cl110_006,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( aSet0 @ ( slsdtgt0 @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl92]) ).

thf(zip_derived_cl587_007,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ ( sdtasdt0 @ X0 @ ( sk__8 @ ( slsdtgt0 @ xc ) ) ) @ ( slsdtgt0 @ xc ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl580,zip_derived_cl93]) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i] :
      ( ( aIdeal0 @ X0 )
      | ~ ( aElementOf0 @ ( sdtasdt0 @ ( sk__10 @ X0 ) @ ( sk__8 @ X0 ) ) @ X0 )
      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sk__8 @ X0 ) @ ( sk__9 @ X0 ) ) @ X0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefIdeal]) ).

thf(zip_derived_cl883,plain,
    ( ~ ( aElement0 @ ( sk__10 @ ( slsdtgt0 @ xc ) ) )
    | ( aIdeal0 @ ( slsdtgt0 @ xc ) )
    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sk__8 @ ( slsdtgt0 @ xc ) ) @ ( sk__9 @ ( slsdtgt0 @ xc ) ) ) @ ( slsdtgt0 @ xc ) )
    | ~ ( aSet0 @ ( slsdtgt0 @ xc ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl587,zip_derived_cl51]) ).

thf(zip_derived_cl102_008,plain,
    ~ ( aIdeal0 @ ( slsdtgt0 @ xc ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl886,plain,
    ( ~ ( aElement0 @ ( sk__10 @ ( slsdtgt0 @ xc ) ) )
    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sk__8 @ ( slsdtgt0 @ xc ) ) @ ( sk__9 @ ( slsdtgt0 @ xc ) ) ) @ ( slsdtgt0 @ xc ) )
    | ~ ( aSet0 @ ( slsdtgt0 @ xc ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl883,zip_derived_cl102]) ).

thf(zip_derived_cl887,plain,
    ( ~ ( aElement0 @ xc )
    | ~ ( aElement0 @ ( sk__10 @ ( slsdtgt0 @ xc ) ) )
    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sk__8 @ ( slsdtgt0 @ xc ) ) @ ( sk__9 @ ( slsdtgt0 @ xc ) ) ) @ ( slsdtgt0 @ xc ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl886]) ).

thf(zip_derived_cl93_009,plain,
    aElement0 @ xc,
    inference(cnf,[status(esa)],[m__1905]) ).

thf(zip_derived_cl888,plain,
    ( ~ ( aElement0 @ ( sk__10 @ ( slsdtgt0 @ xc ) ) )
    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sk__8 @ ( slsdtgt0 @ xc ) ) @ ( sk__9 @ ( slsdtgt0 @ xc ) ) ) @ ( slsdtgt0 @ xc ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl887,zip_derived_cl93]) ).

thf(zip_derived_cl98,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElementOf0 @ X0 @ ( slsdtgt0 @ xc ) )
      | ~ ( aElementOf0 @ X1 @ ( slsdtgt0 @ xc ) )
      | ~ ( aElement0 @ X2 )
      | ( aElementOf0 @ ( sdtpldt0 @ X1 @ X0 ) @ ( slsdtgt0 @ xc ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1762,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ ( sk__10 @ ( slsdtgt0 @ xc ) ) )
      | ~ ( aElementOf0 @ ( sk__9 @ ( slsdtgt0 @ xc ) ) @ ( slsdtgt0 @ xc ) )
      | ~ ( aElementOf0 @ ( sk__8 @ ( slsdtgt0 @ xc ) ) @ ( slsdtgt0 @ xc ) )
      | ~ ( aElement0 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl888,zip_derived_cl98]) ).

thf(zip_derived_cl1782,plain,
    ( ~ ( aElement0 @ ( sk__10 @ ( slsdtgt0 @ xc ) ) )
    | ~ ( aElementOf0 @ ( sk__9 @ ( slsdtgt0 @ xc ) ) @ ( slsdtgt0 @ xc ) )
    | ~ ( aElementOf0 @ ( sk__8 @ ( slsdtgt0 @ xc ) ) @ ( slsdtgt0 @ xc ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl1762]) ).

thf(zip_derived_cl110_010,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( aSet0 @ ( slsdtgt0 @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl92]) ).

thf(zip_derived_cl587_011,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ ( sdtasdt0 @ X0 @ ( sk__8 @ ( slsdtgt0 @ xc ) ) ) @ ( slsdtgt0 @ xc ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl580,zip_derived_cl93]) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i] :
      ( ( aIdeal0 @ X0 )
      | ~ ( aElementOf0 @ ( sdtasdt0 @ ( sk__10 @ X0 ) @ ( sk__8 @ X0 ) ) @ X0 )
      | ( aElementOf0 @ ( sk__9 @ X0 ) @ X0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefIdeal]) ).

thf(zip_derived_cl938,plain,
    ( ~ ( aElement0 @ ( sk__10 @ ( slsdtgt0 @ xc ) ) )
    | ( aIdeal0 @ ( slsdtgt0 @ xc ) )
    | ( aElementOf0 @ ( sk__9 @ ( slsdtgt0 @ xc ) ) @ ( slsdtgt0 @ xc ) )
    | ~ ( aSet0 @ ( slsdtgt0 @ xc ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl587,zip_derived_cl53]) ).

thf(zip_derived_cl102_012,plain,
    ~ ( aIdeal0 @ ( slsdtgt0 @ xc ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl941,plain,
    ( ~ ( aElement0 @ ( sk__10 @ ( slsdtgt0 @ xc ) ) )
    | ( aElementOf0 @ ( sk__9 @ ( slsdtgt0 @ xc ) ) @ ( slsdtgt0 @ xc ) )
    | ~ ( aSet0 @ ( slsdtgt0 @ xc ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl938,zip_derived_cl102]) ).

thf(zip_derived_cl987,plain,
    ( ~ ( aElement0 @ xc )
    | ~ ( aElement0 @ ( sk__10 @ ( slsdtgt0 @ xc ) ) )
    | ( aElementOf0 @ ( sk__9 @ ( slsdtgt0 @ xc ) ) @ ( slsdtgt0 @ xc ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl941]) ).

thf(zip_derived_cl93_013,plain,
    aElement0 @ xc,
    inference(cnf,[status(esa)],[m__1905]) ).

thf(zip_derived_cl988,plain,
    ( ~ ( aElement0 @ ( sk__10 @ ( slsdtgt0 @ xc ) ) )
    | ( aElementOf0 @ ( sk__9 @ ( slsdtgt0 @ xc ) ) @ ( slsdtgt0 @ xc ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl987,zip_derived_cl93]) ).

thf(zip_derived_cl1783,plain,
    ( ~ ( aElementOf0 @ ( sk__8 @ ( slsdtgt0 @ xc ) ) @ ( slsdtgt0 @ xc ) )
    | ~ ( aElement0 @ ( sk__10 @ ( slsdtgt0 @ xc ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1782,zip_derived_cl988]) ).

thf(zip_derived_cl1794,plain,
    ( ~ ( aSet0 @ ( slsdtgt0 @ xc ) )
    | ( aIdeal0 @ ( slsdtgt0 @ xc ) )
    | ~ ( aElement0 @ ( sk__10 @ ( slsdtgt0 @ xc ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl1783]) ).

thf(zip_derived_cl102_014,plain,
    ~ ( aIdeal0 @ ( slsdtgt0 @ xc ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1796,plain,
    ( ~ ( aSet0 @ ( slsdtgt0 @ xc ) )
    | ~ ( aElement0 @ ( sk__10 @ ( slsdtgt0 @ xc ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1794,zip_derived_cl102]) ).

thf(zip_derived_cl1798,plain,
    ( ~ ( aElement0 @ xc )
    | ~ ( aElement0 @ ( sk__10 @ ( slsdtgt0 @ xc ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl1796]) ).

thf(zip_derived_cl93_015,plain,
    aElement0 @ xc,
    inference(cnf,[status(esa)],[m__1905]) ).

thf(zip_derived_cl1799,plain,
    ~ ( aElement0 @ ( sk__10 @ ( slsdtgt0 @ xc ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1798,zip_derived_cl93]) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i] :
      ( ( aIdeal0 @ X0 )
      | ( aElement0 @ ( sk__10 @ X0 ) )
      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sk__8 @ X0 ) @ ( sk__9 @ X0 ) ) @ X0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefIdeal]) ).

thf(zip_derived_cl1803,plain,
    ( ( aIdeal0 @ ( slsdtgt0 @ xc ) )
    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sk__8 @ ( slsdtgt0 @ xc ) ) @ ( sk__9 @ ( slsdtgt0 @ xc ) ) ) @ ( slsdtgt0 @ xc ) )
    | ~ ( aSet0 @ ( slsdtgt0 @ xc ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1799,zip_derived_cl52]) ).

thf(zip_derived_cl102_016,plain,
    ~ ( aIdeal0 @ ( slsdtgt0 @ xc ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1804,plain,
    ( ~ ( aElementOf0 @ ( sdtpldt0 @ ( sk__8 @ ( slsdtgt0 @ xc ) ) @ ( sk__9 @ ( slsdtgt0 @ xc ) ) ) @ ( slsdtgt0 @ xc ) )
    | ~ ( aSet0 @ ( slsdtgt0 @ xc ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1803,zip_derived_cl102]) ).

thf(zip_derived_cl1806,plain,
    ( ~ ( aElement0 @ xc )
    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sk__8 @ ( slsdtgt0 @ xc ) ) @ ( sk__9 @ ( slsdtgt0 @ xc ) ) ) @ ( slsdtgt0 @ xc ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl1804]) ).

thf(zip_derived_cl93_017,plain,
    aElement0 @ xc,
    inference(cnf,[status(esa)],[m__1905]) ).

thf(zip_derived_cl1807,plain,
    ~ ( aElementOf0 @ ( sdtpldt0 @ ( sk__8 @ ( slsdtgt0 @ xc ) ) @ ( sk__9 @ ( slsdtgt0 @ xc ) ) ) @ ( slsdtgt0 @ xc ) ),
    inference(demod,[status(thm)],[zip_derived_cl1806,zip_derived_cl93]) ).

thf(zip_derived_cl98_018,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElementOf0 @ X0 @ ( slsdtgt0 @ xc ) )
      | ~ ( aElementOf0 @ X1 @ ( slsdtgt0 @ xc ) )
      | ~ ( aElement0 @ X2 )
      | ( aElementOf0 @ ( sdtpldt0 @ X1 @ X0 ) @ ( slsdtgt0 @ xc ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1817,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ ( sk__9 @ ( slsdtgt0 @ xc ) ) @ ( slsdtgt0 @ xc ) )
      | ~ ( aElementOf0 @ ( sk__8 @ ( slsdtgt0 @ xc ) ) @ ( slsdtgt0 @ xc ) )
      | ~ ( aElement0 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1807,zip_derived_cl98]) ).

thf(zip_derived_cl1841,plain,
    ! [X0: $i] :
      ( ~ ( aSet0 @ ( slsdtgt0 @ xc ) )
      | ( aElement0 @ ( sk__10 @ ( slsdtgt0 @ xc ) ) )
      | ( aIdeal0 @ ( slsdtgt0 @ xc ) )
      | ~ ( aElementOf0 @ ( sk__8 @ ( slsdtgt0 @ xc ) ) @ ( slsdtgt0 @ xc ) )
      | ~ ( aElement0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl1817]) ).

thf(zip_derived_cl1799_019,plain,
    ~ ( aElement0 @ ( sk__10 @ ( slsdtgt0 @ xc ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1798,zip_derived_cl93]) ).

thf(zip_derived_cl102_020,plain,
    ~ ( aIdeal0 @ ( slsdtgt0 @ xc ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1842,plain,
    ! [X0: $i] :
      ( ~ ( aSet0 @ ( slsdtgt0 @ xc ) )
      | ~ ( aElementOf0 @ ( sk__8 @ ( slsdtgt0 @ xc ) ) @ ( slsdtgt0 @ xc ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1841,zip_derived_cl1799,zip_derived_cl102]) ).

thf(zip_derived_cl1843,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ xc )
      | ~ ( aElementOf0 @ ( sk__8 @ ( slsdtgt0 @ xc ) ) @ ( slsdtgt0 @ xc ) )
      | ~ ( aElement0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl1842]) ).

thf(zip_derived_cl93_021,plain,
    aElement0 @ xc,
    inference(cnf,[status(esa)],[m__1905]) ).

thf(zip_derived_cl1844,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ ( sk__8 @ ( slsdtgt0 @ xc ) ) @ ( slsdtgt0 @ xc ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1843,zip_derived_cl93]) ).

thf(zip_derived_cl1846,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ ( sk__8 @ ( slsdtgt0 @ xc ) ) )
      | ~ ( aElement0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl605,zip_derived_cl1844]) ).

thf(zip_derived_cl1847,plain,
    ~ ( aElement0 @ ( sk__8 @ ( slsdtgt0 @ xc ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl1846]) ).

thf(zip_derived_cl50_022,plain,
    ! [X0: $i] :
      ( ( aIdeal0 @ X0 )
      | ( aElementOf0 @ ( sk__8 @ X0 ) @ X0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefIdeal]) ).

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

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mEOfElem]) ).

thf(zip_derived_cl380,plain,
    ! [X0: $i] :
      ( ~ ( aSet0 @ X0 )
      | ( aIdeal0 @ X0 )
      | ( aElement0 @ ( sk__8 @ X0 ) )
      | ~ ( aSet0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl25]) ).

thf(zip_derived_cl384,plain,
    ! [X0: $i] :
      ( ( aElement0 @ ( sk__8 @ X0 ) )
      | ( aIdeal0 @ X0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl380]) ).

thf(zip_derived_cl1851,plain,
    ( ( aIdeal0 @ ( slsdtgt0 @ xc ) )
    | ~ ( aSet0 @ ( slsdtgt0 @ xc ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1847,zip_derived_cl384]) ).

thf(zip_derived_cl102_023,plain,
    ~ ( aIdeal0 @ ( slsdtgt0 @ xc ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1853,plain,
    ~ ( aSet0 @ ( slsdtgt0 @ xc ) ),
    inference(clc,[status(thm)],[zip_derived_cl1851,zip_derived_cl102]) ).

thf(zip_derived_cl1854,plain,
    ~ ( aElement0 @ xc ),
    inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl1853]) ).

thf(zip_derived_cl93_024,plain,
    aElement0 @ xc,
    inference(cnf,[status(esa)],[m__1905]) ).

thf(zip_derived_cl1855,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1854,zip_derived_cl93]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : RNG106+1 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dGBm7h4aR5 true
% 0.13/0.35  % Computer : n028.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 : Wed Oct  1 17:24:23 EDT 2025
% 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
% 0.57/0.64  % Total configuration time : 435
% 0.57/0.64  % Estimated wc time : 1092
% 0.57/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/1.07  % Solved by fo/fo13.sh.
% 0.58/1.07  % done 373 iterations in 0.277s
% 0.58/1.07  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/1.07  % SZS output start Refutation
% See solution above
% 0.58/1.07  
% 0.58/1.07  
% 3.46/1.08  % Terminating...
% 3.79/1.15  % Runner terminated.
% 3.79/1.17  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------