TSTP Solution File: RNG118+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG118+4 : 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.4V9ph7I1UJ true

% Computer : n025.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 14:07:02 EDT 2023

% Result   : Theorem 224.97s 32.78s
% Output   : Refutation 224.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   83 (  27 unt;  17 typ;   0 def)
%            Number of atoms       :  229 (  92 equ;   0 cnn)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  715 ( 118   ~; 121   |;  31   &; 434   @)
%                                         (   3 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   19 (  19   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   6 con; 0-2 aty)
%            Number of variables   :   72 (   0   ^;  58   !;  14   ?;  72   :)

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

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

thf(sdtpldt1_type,type,
    sdtpldt1: $i > $i > $i ).

thf(xI_type,type,
    xI: $i ).

thf(sbrdtbr0_type,type,
    sbrdtbr0: $i > $i ).

thf(xa_type,type,
    xa: $i ).

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

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

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

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

thf(xu_type,type,
    xu: $i ).

thf(iLess0_type,type,
    iLess0: $i > $i > $o ).

thf(sk__13_type,type,
    sk__13: $i > $i > $i ).

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

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

thf(xb_type,type,
    xb: $i ).

thf(sk__14_type,type,
    sk__14: $i > $i > $i ).

thf(mDivision,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 )
        & ( W1 != sz00 ) )
     => ? [W2: $i,W3: $i] :
          ( ( ( W3 != sz00 )
           => ( iLess0 @ ( sbrdtbr0 @ W3 ) @ ( sbrdtbr0 @ W1 ) ) )
          & ( W0
            = ( sdtpldt0 @ ( sdtasdt0 @ W2 @ W1 ) @ W3 ) )
          & ( aElement0 @ W3 )
          & ( aElement0 @ W2 ) ) ) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( X1 = sz00 )
      | ( aElement0 @ ( sk__13 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mDivision]) ).

thf(zip_derived_cl68_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( X1 = sz00 )
      | ( aElement0 @ ( sk__13 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mDivision]) ).

thf(zip_derived_cl69,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( X1 = sz00 )
      | ( aElement0 @ ( sk__14 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mDivision]) ).

thf(zip_derived_cl70,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( X1 = sz00 )
      | ( X0
        = ( sdtpldt0 @ ( sdtasdt0 @ ( sk__13 @ X1 @ X0 ) @ X1 ) @ ( sk__14 @ X1 @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[mDivision]) ).

thf(zip_derived_cl71,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( X1 = sz00 )
      | ( iLess0 @ ( sbrdtbr0 @ ( sk__14 @ X1 @ X0 ) ) @ ( sbrdtbr0 @ X1 ) )
      | ( ( sk__14 @ X1 @ X0 )
        = sz00 ) ),
    inference(cnf,[status(esa)],[mDivision]) ).

thf(m__,conjecture,
    ? [W0: $i,W1: $i] :
      ( ( ( iLess0 @ ( sbrdtbr0 @ W1 ) @ ( sbrdtbr0 @ xu ) )
        | ( W1 = sz00 ) )
      & ( xb
        = ( sdtpldt0 @ ( sdtasdt0 @ W0 @ xu ) @ W1 ) )
      & ( aElement0 @ W1 )
      & ( aElement0 @ W0 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [W0: $i,W1: $i] :
        ( ( ( iLess0 @ ( sbrdtbr0 @ W1 ) @ ( sbrdtbr0 @ xu ) )
          | ( W1 = sz00 ) )
        & ( xb
          = ( sdtpldt0 @ ( sdtasdt0 @ W0 @ xu ) @ W1 ) )
        & ( aElement0 @ W1 )
        & ( aElement0 @ W0 ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl179,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( xb
       != ( sdtpldt0 @ ( sdtasdt0 @ X0 @ xu ) @ X1 ) )
      | ~ ( iLess0 @ ( sbrdtbr0 @ X1 ) @ ( sbrdtbr0 @ xu ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl999,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( sbrdtbr0 @ ( sk__14 @ X1 @ X0 ) )
       != ( sbrdtbr0 @ X3 ) )
      | ( ( sbrdtbr0 @ X1 )
       != ( sbrdtbr0 @ xu ) )
      | ( ( sk__14 @ X1 @ X0 )
        = sz00 )
      | ( X1 = sz00 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X0 )
      | ( xb
       != ( sdtpldt0 @ ( sdtasdt0 @ X2 @ xu ) @ X3 ) )
      | ~ ( aElement0 @ X3 )
      | ~ ( aElement0 @ X2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl71,zip_derived_cl179]) ).

thf(zip_derived_cl2647,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( xb
       != ( sdtpldt0 @ ( sdtasdt0 @ X0 @ xu ) @ X1 ) )
      | ~ ( aElement0 @ X2 )
      | ~ ( aElement0 @ xu )
      | ( xu = sz00 )
      | ( ( sk__14 @ xu @ X2 )
        = sz00 )
      | ( ( sbrdtbr0 @ ( sk__14 @ xu @ X2 ) )
       != ( sbrdtbr0 @ X1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl999]) ).

thf(m__2273,axiom,
    ( ! [W0: $i] :
        ( ( ( ? [W1: $i,W2: $i] :
                ( ( ( sdtpldt0 @ W1 @ W2 )
                  = W0 )
                & ( aElementOf0 @ W2 @ ( slsdtgt0 @ xb ) )
                & ( aElementOf0 @ W1 @ ( slsdtgt0 @ xa ) ) )
            | ( aElementOf0 @ W0 @ xI ) )
          & ( W0 != sz00 ) )
       => ~ ( iLess0 @ ( sbrdtbr0 @ W0 ) @ ( sbrdtbr0 @ xu ) ) )
    & ( xu != sz00 )
    & ( aElementOf0 @ xu @ xI )
    & ? [W0: $i,W1: $i] :
        ( ( ( sdtpldt0 @ W0 @ W1 )
          = xu )
        & ( aElementOf0 @ W1 @ ( slsdtgt0 @ xb ) )
        & ( aElementOf0 @ W0 @ ( slsdtgt0 @ xa ) ) ) ) ).

thf(zip_derived_cl160,plain,
    aElementOf0 @ xu @ xI,
    inference(cnf,[status(esa)],[m__2273]) ).

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_cl1440,plain,
    ( ( aElement0 @ xu )
    | ~ ( aSet0 @ xI ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl160,zip_derived_cl25]) ).

thf(m__2174,axiom,
    ( ( xI
      = ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xI )
      <=> ? [W1: $i,W2: $i] :
            ( ( ( sdtpldt0 @ W1 @ W2 )
              = W0 )
            & ( aElementOf0 @ W2 @ ( slsdtgt0 @ xb ) )
            & ( aElementOf0 @ W1 @ ( slsdtgt0 @ xa ) ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( slsdtgt0 @ xb ) )
      <=> ? [W1: $i] :
            ( ( ( sdtasdt0 @ xb @ W1 )
              = W0 )
            & ( aElement0 @ W1 ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( slsdtgt0 @ xa ) )
      <=> ? [W1: $i] :
            ( ( ( sdtasdt0 @ xa @ W1 )
              = W0 )
            & ( aElement0 @ W1 ) ) )
    & ( aIdeal0 @ xI )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xI )
       => ( ! [W1: $i] :
              ( ( aElementOf0 @ W1 @ xI )
             => ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ xI ) )
          & ! [W1: $i] :
              ( ( aElement0 @ W1 )
             => ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ xI ) ) ) )
    & ( aSet0 @ xI ) ) ).

thf(zip_derived_cl119,plain,
    aSet0 @ xI,
    inference(cnf,[status(esa)],[m__2174]) ).

thf(zip_derived_cl1441,plain,
    aElement0 @ xu,
    inference(demod,[status(thm)],[zip_derived_cl1440,zip_derived_cl119]) ).

thf(zip_derived_cl2648,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( xb
       != ( sdtpldt0 @ ( sdtasdt0 @ X0 @ xu ) @ X1 ) )
      | ~ ( aElement0 @ X2 )
      | ( xu = sz00 )
      | ( ( sk__14 @ xu @ X2 )
        = sz00 )
      | ( ( sbrdtbr0 @ ( sk__14 @ xu @ X2 ) )
       != ( sbrdtbr0 @ X1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2647,zip_derived_cl1441]) ).

thf(zip_derived_cl161,plain,
    xu != sz00,
    inference(cnf,[status(esa)],[m__2273]) ).

thf(zip_derived_cl2649,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( xb
       != ( sdtpldt0 @ ( sdtasdt0 @ X0 @ xu ) @ X1 ) )
      | ~ ( aElement0 @ X2 )
      | ( ( sk__14 @ xu @ X2 )
        = sz00 )
      | ( ( sbrdtbr0 @ ( sk__14 @ xu @ X2 ) )
       != ( sbrdtbr0 @ X1 ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl2648,zip_derived_cl161]) ).

thf(zip_derived_cl3311,plain,
    ! [X0: $i,X1: $i] :
      ( ( xu = sz00 )
      | ~ ( aElement0 @ xu )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ ( sk__13 @ xu @ X0 ) )
      | ~ ( aElement0 @ ( sk__14 @ xu @ X0 ) )
      | ( xb != X0 )
      | ~ ( aElement0 @ X1 )
      | ( ( sk__14 @ xu @ X1 )
        = sz00 )
      | ( ( sbrdtbr0 @ ( sk__14 @ xu @ X1 ) )
       != ( sbrdtbr0 @ ( sk__14 @ xu @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl2649]) ).

thf(zip_derived_cl1441_002,plain,
    aElement0 @ xu,
    inference(demod,[status(thm)],[zip_derived_cl1440,zip_derived_cl119]) ).

thf(zip_derived_cl3325,plain,
    ! [X0: $i,X1: $i] :
      ( ( xu = sz00 )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ ( sk__13 @ xu @ X0 ) )
      | ~ ( aElement0 @ ( sk__14 @ xu @ X0 ) )
      | ( xb != X0 )
      | ~ ( aElement0 @ X1 )
      | ( ( sk__14 @ xu @ X1 )
        = sz00 )
      | ( ( sbrdtbr0 @ ( sk__14 @ xu @ X1 ) )
       != ( sbrdtbr0 @ ( sk__14 @ xu @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3311,zip_derived_cl1441]) ).

thf(zip_derived_cl161_003,plain,
    xu != sz00,
    inference(cnf,[status(esa)],[m__2273]) ).

thf(zip_derived_cl3326,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ ( sk__13 @ xu @ X0 ) )
      | ~ ( aElement0 @ ( sk__14 @ xu @ X0 ) )
      | ( xb != X0 )
      | ~ ( aElement0 @ X1 )
      | ( ( sk__14 @ xu @ X1 )
        = sz00 )
      | ( ( sbrdtbr0 @ ( sk__14 @ xu @ X1 ) )
       != ( sbrdtbr0 @ ( sk__14 @ xu @ X0 ) ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl3325,zip_derived_cl161]) ).

thf(zip_derived_cl4505,plain,
    ! [X0: $i] :
      ( ( ( sbrdtbr0 @ ( sk__14 @ xu @ X0 ) )
       != ( sbrdtbr0 @ ( sk__14 @ xu @ xb ) ) )
      | ( ( sk__14 @ xu @ X0 )
        = sz00 )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ ( sk__14 @ xu @ xb ) )
      | ~ ( aElement0 @ ( sk__13 @ xu @ xb ) )
      | ~ ( aElement0 @ xb ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl3326]) ).

thf(m__2091,axiom,
    ( ( aElement0 @ xb )
    & ( aElement0 @ xa ) ) ).

thf(zip_derived_cl94,plain,
    aElement0 @ xb,
    inference(cnf,[status(esa)],[m__2091]) ).

thf(zip_derived_cl4506,plain,
    ! [X0: $i] :
      ( ( ( sbrdtbr0 @ ( sk__14 @ xu @ X0 ) )
       != ( sbrdtbr0 @ ( sk__14 @ xu @ xb ) ) )
      | ( ( sk__14 @ xu @ X0 )
        = sz00 )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ ( sk__14 @ xu @ xb ) )
      | ~ ( aElement0 @ ( sk__13 @ xu @ xb ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4505,zip_derived_cl94]) ).

thf(zip_derived_cl9064,plain,
    ! [X0: $i] :
      ( ( xu = sz00 )
      | ~ ( aElement0 @ xu )
      | ~ ( aElement0 @ xb )
      | ( ( sbrdtbr0 @ ( sk__14 @ xu @ X0 ) )
       != ( sbrdtbr0 @ ( sk__14 @ xu @ xb ) ) )
      | ( ( sk__14 @ xu @ X0 )
        = sz00 )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ ( sk__13 @ xu @ xb ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl4506]) ).

thf(zip_derived_cl1441_004,plain,
    aElement0 @ xu,
    inference(demod,[status(thm)],[zip_derived_cl1440,zip_derived_cl119]) ).

thf(zip_derived_cl94_005,plain,
    aElement0 @ xb,
    inference(cnf,[status(esa)],[m__2091]) ).

thf(zip_derived_cl9065,plain,
    ! [X0: $i] :
      ( ( xu = sz00 )
      | ( ( sbrdtbr0 @ ( sk__14 @ xu @ X0 ) )
       != ( sbrdtbr0 @ ( sk__14 @ xu @ xb ) ) )
      | ( ( sk__14 @ xu @ X0 )
        = sz00 )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ ( sk__13 @ xu @ xb ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl9064,zip_derived_cl1441,zip_derived_cl94]) ).

thf(zip_derived_cl161_006,plain,
    xu != sz00,
    inference(cnf,[status(esa)],[m__2273]) ).

thf(zip_derived_cl9066,plain,
    ! [X0: $i] :
      ( ( ( sbrdtbr0 @ ( sk__14 @ xu @ X0 ) )
       != ( sbrdtbr0 @ ( sk__14 @ xu @ xb ) ) )
      | ( ( sk__14 @ xu @ X0 )
        = sz00 )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ ( sk__13 @ xu @ xb ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl9065,zip_derived_cl161]) ).

thf(zip_derived_cl26087,plain,
    ! [X0: $i] :
      ( ( xu = sz00 )
      | ~ ( aElement0 @ xu )
      | ~ ( aElement0 @ xb )
      | ( ( sbrdtbr0 @ ( sk__14 @ xu @ X0 ) )
       != ( sbrdtbr0 @ ( sk__14 @ xu @ xb ) ) )
      | ( ( sk__14 @ xu @ X0 )
        = sz00 )
      | ~ ( aElement0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl9066]) ).

thf(zip_derived_cl1441_007,plain,
    aElement0 @ xu,
    inference(demod,[status(thm)],[zip_derived_cl1440,zip_derived_cl119]) ).

thf(zip_derived_cl94_008,plain,
    aElement0 @ xb,
    inference(cnf,[status(esa)],[m__2091]) ).

thf(zip_derived_cl26088,plain,
    ! [X0: $i] :
      ( ( xu = sz00 )
      | ( ( sbrdtbr0 @ ( sk__14 @ xu @ X0 ) )
       != ( sbrdtbr0 @ ( sk__14 @ xu @ xb ) ) )
      | ( ( sk__14 @ xu @ X0 )
        = sz00 )
      | ~ ( aElement0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl26087,zip_derived_cl1441,zip_derived_cl94]) ).

thf(zip_derived_cl161_009,plain,
    xu != sz00,
    inference(cnf,[status(esa)],[m__2273]) ).

thf(zip_derived_cl26089,plain,
    ! [X0: $i] :
      ( ( ( sbrdtbr0 @ ( sk__14 @ xu @ X0 ) )
       != ( sbrdtbr0 @ ( sk__14 @ xu @ xb ) ) )
      | ( ( sk__14 @ xu @ X0 )
        = sz00 )
      | ~ ( aElement0 @ X0 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl26088,zip_derived_cl161]) ).

thf(zip_derived_cl101636,plain,
    ( ~ ( aElement0 @ xb )
    | ( ( sk__14 @ xu @ xb )
      = sz00 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl26089]) ).

thf(zip_derived_cl94_010,plain,
    aElement0 @ xb,
    inference(cnf,[status(esa)],[m__2091]) ).

thf(zip_derived_cl101637,plain,
    ( ( sk__14 @ xu @ xb )
    = sz00 ),
    inference(demod,[status(thm)],[zip_derived_cl101636,zip_derived_cl94]) ).

thf(zip_derived_cl70_011,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( X1 = sz00 )
      | ( X0
        = ( sdtpldt0 @ ( sdtasdt0 @ ( sk__13 @ X1 @ X0 ) @ X1 ) @ ( sk__14 @ X1 @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[mDivision]) ).

thf(zip_derived_cl101665,plain,
    ( ~ ( aElement0 @ xb )
    | ~ ( aElement0 @ xu )
    | ( xu = sz00 )
    | ( xb
      = ( sdtpldt0 @ ( sdtasdt0 @ ( sk__13 @ xu @ xb ) @ xu ) @ sz00 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl101637,zip_derived_cl70]) ).

thf(zip_derived_cl94_012,plain,
    aElement0 @ xb,
    inference(cnf,[status(esa)],[m__2091]) ).

thf(zip_derived_cl1441_013,plain,
    aElement0 @ xu,
    inference(demod,[status(thm)],[zip_derived_cl1440,zip_derived_cl119]) ).

thf(zip_derived_cl101695,plain,
    ( ( xu = sz00 )
    | ( xb
      = ( sdtpldt0 @ ( sdtasdt0 @ ( sk__13 @ xu @ xb ) @ xu ) @ sz00 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl101665,zip_derived_cl94,zip_derived_cl1441]) ).

thf(zip_derived_cl161_014,plain,
    xu != sz00,
    inference(cnf,[status(esa)],[m__2273]) ).

thf(zip_derived_cl101696,plain,
    ( xb
    = ( sdtpldt0 @ ( sdtasdt0 @ ( sk__13 @ xu @ xb ) @ xu ) @ sz00 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl101695,zip_derived_cl161]) ).

thf(zip_derived_cl180,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( xb
       != ( sdtpldt0 @ ( sdtasdt0 @ X0 @ xu ) @ X1 ) )
      | ( X1 != sz00 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2056,plain,
    ! [X0: $i] :
      ( ( xb
       != ( sdtpldt0 @ ( sdtasdt0 @ X0 @ xu ) @ sz00 ) )
      | ~ ( aElement0 @ sz00 )
      | ~ ( aElement0 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl180]) ).

thf(mSortsC,axiom,
    aElement0 @ sz00 ).

thf(zip_derived_cl1,plain,
    aElement0 @ sz00,
    inference(cnf,[status(esa)],[mSortsC]) ).

thf(zip_derived_cl2057,plain,
    ! [X0: $i] :
      ( ( xb
       != ( sdtpldt0 @ ( sdtasdt0 @ X0 @ xu ) @ sz00 ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2056,zip_derived_cl1]) ).

thf(zip_derived_cl101817,plain,
    ( ( xb != xb )
    | ~ ( aElement0 @ ( sk__13 @ xu @ xb ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl101696,zip_derived_cl2057]) ).

thf(zip_derived_cl101890,plain,
    ~ ( aElement0 @ ( sk__13 @ xu @ xb ) ),
    inference(simplify,[status(thm)],[zip_derived_cl101817]) ).

thf(zip_derived_cl101897,plain,
    ( ( xu = sz00 )
    | ~ ( aElement0 @ xu )
    | ~ ( aElement0 @ xb ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl101890]) ).

thf(zip_derived_cl1441_015,plain,
    aElement0 @ xu,
    inference(demod,[status(thm)],[zip_derived_cl1440,zip_derived_cl119]) ).

thf(zip_derived_cl94_016,plain,
    aElement0 @ xb,
    inference(cnf,[status(esa)],[m__2091]) ).

thf(zip_derived_cl101898,plain,
    xu = sz00,
    inference(demod,[status(thm)],[zip_derived_cl101897,zip_derived_cl1441,zip_derived_cl94]) ).

thf(zip_derived_cl161_017,plain,
    xu != sz00,
    inference(cnf,[status(esa)],[m__2273]) ).

thf(zip_derived_cl101899,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl101898,zip_derived_cl161]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : RNG118+4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4V9ph7I1UJ true
% 0.14/0.35  % Computer : n025.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 : Sun Aug 27 02:57:08 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
% 0.14/0.36  % Python version: Python 3.6.8
% 0.22/0.36  % Running in FO mode
% 0.22/0.71  % Total configuration time : 435
% 0.22/0.71  % Estimated wc time : 1092
% 0.22/0.71  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 224.97/32.78  % Solved by fo/fo6_bce.sh.
% 224.97/32.78  % BCE start: 181
% 224.97/32.78  % BCE eliminated: 1
% 224.97/32.78  % PE start: 180
% 224.97/32.78  logic: eq
% 224.97/32.78  % PE eliminated: 11
% 224.97/32.78  % done 21589 iterations in 32.004s
% 224.97/32.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 224.97/32.78  % SZS output start Refutation
% See solution above
% 224.97/32.78  
% 224.97/32.78  
% 224.97/32.78  % Terminating...
% 225.38/32.89  % Runner terminated.
% 225.38/32.91  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------