TSTP Solution File: RNG111+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG111+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.cQwTLgx0Pe true

% Computer : n021.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 14:06:59 EDT 2023

% Result   : Theorem 274.28s 40.17s
% Output   : Refutation 274.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   75 (  27 unt;  12 typ;   0 def)
%            Number of atoms       :  208 (  91 equ;   0 cnn)
%            Maximal formula atoms :   33 (   3 avg)
%            Number of connectives :  592 (  91   ~;  87   |;  46   &; 356   @)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   53 (   0   ^;  25   !;  28   ?;  53   :)

% Comments : 
%------------------------------------------------------------------------------
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(sk__40_type,type,
    sk__40: $i ).

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

thf(sk__39_type,type,
    sk__39: $i ).

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

thf(sk__36_type,type,
    sk__36: $i > $i ).

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

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

thf(m__,conjecture,
    ! [W0: $i] :
      ( ( ? [W1: $i,W2: $i] :
            ( ( ( sdtpldt0 @ W1 @ W2 )
              = W0 )
            & ( aElementOf0 @ W2 @ ( slsdtgt0 @ xb ) )
            & ( aElementOf0 @ W1 @ ( slsdtgt0 @ xa ) ) )
        & ( aElementOf0 @ W0 @ xI )
        & ( W0 != sz00 ) )
     => ( ! [W1: $i] :
            ( ( ( ? [W2: $i,W3: $i] :
                    ( ( ( sdtpldt0 @ W2 @ W3 )
                      = W1 )
                    & ( aElementOf0 @ W3 @ ( slsdtgt0 @ xb ) )
                    & ( aElementOf0 @ W2 @ ( slsdtgt0 @ xa ) ) )
                | ( aElementOf0 @ W1 @ xI ) )
              & ( W1 != sz00 ) )
           => ( ( iLess0 @ ( sbrdtbr0 @ W1 ) @ ( sbrdtbr0 @ W0 ) )
             => ? [W2: $i] :
                  ( ! [W3: $i] :
                      ( ( ( ? [W4: $i,W5: $i] :
                              ( ( ( sdtpldt0 @ W4 @ W5 )
                                = W3 )
                              & ( aElementOf0 @ W5 @ ( slsdtgt0 @ xb ) )
                              & ( aElementOf0 @ W4 @ ( slsdtgt0 @ xa ) ) )
                          | ( aElementOf0 @ W3 @ xI ) )
                        & ( W3 != sz00 ) )
                     => ~ ( iLess0 @ ( sbrdtbr0 @ W3 ) @ ( sbrdtbr0 @ W2 ) ) )
                  & ( W2 != sz00 )
                  & ( aElementOf0 @ W2 @ xI )
                  & ? [W3: $i,W4: $i] :
                      ( ( ( sdtpldt0 @ W3 @ W4 )
                        = W2 )
                      & ( aElementOf0 @ W4 @ ( slsdtgt0 @ xb ) )
                      & ( aElementOf0 @ W3 @ ( slsdtgt0 @ xa ) ) ) ) ) )
       => ? [W1: $i] :
            ( ! [W2: $i] :
                ( ( ? [W3: $i,W4: $i] :
                      ( ( ( sdtpldt0 @ W3 @ W4 )
                        = W2 )
                      & ( aElementOf0 @ W4 @ ( slsdtgt0 @ xb ) )
                      & ( aElementOf0 @ W3 @ ( slsdtgt0 @ xa ) ) )
                  & ( aElementOf0 @ W2 @ xI )
                  & ( W2 != sz00 ) )
               => ~ ( iLess0 @ ( sbrdtbr0 @ W2 ) @ ( sbrdtbr0 @ W1 ) ) )
            & ( W1 != sz00 )
            & ( ( aElementOf0 @ W1 @ xI )
              | ? [W2: $i,W3: $i] :
                  ( ( ( sdtpldt0 @ W2 @ W3 )
                    = W1 )
                  & ( aElementOf0 @ W3 @ ( slsdtgt0 @ xb ) )
                  & ( aElementOf0 @ W2 @ ( slsdtgt0 @ xa ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [W0: $i] :
        ( ( ? [W1: $i,W2: $i] :
              ( ( ( sdtpldt0 @ W1 @ W2 )
                = W0 )
              & ( aElementOf0 @ W2 @ ( slsdtgt0 @ xb ) )
              & ( aElementOf0 @ W1 @ ( slsdtgt0 @ xa ) ) )
          & ( aElementOf0 @ W0 @ xI )
          & ( W0 != sz00 ) )
       => ( ! [W1: $i] :
              ( ( ( ? [W2: $i,W3: $i] :
                      ( ( ( sdtpldt0 @ W2 @ W3 )
                        = W1 )
                      & ( aElementOf0 @ W3 @ ( slsdtgt0 @ xb ) )
                      & ( aElementOf0 @ W2 @ ( slsdtgt0 @ xa ) ) )
                  | ( aElementOf0 @ W1 @ xI ) )
                & ( W1 != sz00 ) )
             => ( ( iLess0 @ ( sbrdtbr0 @ W1 ) @ ( sbrdtbr0 @ W0 ) )
               => ? [W2: $i] :
                    ( ! [W3: $i] :
                        ( ( ( ? [W4: $i,W5: $i] :
                                ( ( ( sdtpldt0 @ W4 @ W5 )
                                  = W3 )
                                & ( aElementOf0 @ W5 @ ( slsdtgt0 @ xb ) )
                                & ( aElementOf0 @ W4 @ ( slsdtgt0 @ xa ) ) )
                            | ( aElementOf0 @ W3 @ xI ) )
                          & ( W3 != sz00 ) )
                       => ~ ( iLess0 @ ( sbrdtbr0 @ W3 ) @ ( sbrdtbr0 @ W2 ) ) )
                    & ( W2 != sz00 )
                    & ( aElementOf0 @ W2 @ xI )
                    & ? [W3: $i,W4: $i] :
                        ( ( ( sdtpldt0 @ W3 @ W4 )
                          = W2 )
                        & ( aElementOf0 @ W4 @ ( slsdtgt0 @ xb ) )
                        & ( aElementOf0 @ W3 @ ( slsdtgt0 @ xa ) ) ) ) ) )
         => ? [W1: $i] :
              ( ! [W2: $i] :
                  ( ( ? [W3: $i,W4: $i] :
                        ( ( ( sdtpldt0 @ W3 @ W4 )
                          = W2 )
                        & ( aElementOf0 @ W4 @ ( slsdtgt0 @ xb ) )
                        & ( aElementOf0 @ W3 @ ( slsdtgt0 @ xa ) ) )
                    & ( aElementOf0 @ W2 @ xI )
                    & ( W2 != sz00 ) )
                 => ~ ( iLess0 @ ( sbrdtbr0 @ W2 ) @ ( sbrdtbr0 @ W1 ) ) )
              & ( W1 != sz00 )
              & ( ( aElementOf0 @ W1 @ xI )
                | ? [W2: $i,W3: $i] :
                    ( ( ( sdtpldt0 @ W2 @ W3 )
                      = W1 )
                    & ( aElementOf0 @ W3 @ ( slsdtgt0 @ xb ) )
                    & ( aElementOf0 @ W2 @ ( slsdtgt0 @ xa ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl181,plain,
    ! [X6: $i] :
      ( ( aElementOf0 @ ( sk__36 @ X6 ) @ xI )
      | ( X6 = sz00 )
      | ~ ( aElementOf0 @ X6 @ xI ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl181_001,plain,
    ! [X6: $i] :
      ( ( aElementOf0 @ ( sk__36 @ X6 ) @ xI )
      | ( X6 = sz00 )
      | ~ ( aElementOf0 @ X6 @ xI ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl177,plain,
    ! [X6: $i] :
      ( ( iLess0 @ ( sbrdtbr0 @ ( sk__36 @ X6 ) ) @ ( sbrdtbr0 @ X6 ) )
      | ( X6 = sz00 )
      | ~ ( aElementOf0 @ X6 @ xI ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl177_002,plain,
    ! [X6: $i] :
      ( ( iLess0 @ ( sbrdtbr0 @ ( sk__36 @ X6 ) ) @ ( sbrdtbr0 @ X6 ) )
      | ( X6 = sz00 )
      | ~ ( aElementOf0 @ X6 @ xI ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl159,plain,
    ! [X0: $i,X3: $i] :
      ( ~ ( aElementOf0 @ X0 @ xI )
      | ( X0 = sz00 )
      | ~ ( iLess0 @ ( sbrdtbr0 @ X0 ) @ ( sbrdtbr0 @ sk__40 ) )
      | ~ ( aElementOf0 @ X3 @ xI )
      | ( X3 = sz00 )
      | ~ ( iLess0 @ ( sbrdtbr0 @ X3 ) @ ( sbrdtbr0 @ sk__39 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4689,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ sk__40 @ xI )
      | ( sk__40 = sz00 )
      | ~ ( iLess0 @ ( sbrdtbr0 @ X0 ) @ ( sbrdtbr0 @ sk__39 ) )
      | ( X0 = sz00 )
      | ~ ( aElementOf0 @ X0 @ xI )
      | ( ( sk__36 @ sk__40 )
        = sz00 )
      | ~ ( aElementOf0 @ ( sk__36 @ sk__40 ) @ xI ) ),
    inference('sup-',[status(thm)],[zip_derived_cl177,zip_derived_cl159]) ).

thf(zip_derived_cl181_003,plain,
    ! [X6: $i] :
      ( ( aElementOf0 @ ( sk__36 @ X6 ) @ xI )
      | ( X6 = sz00 )
      | ~ ( aElementOf0 @ X6 @ xI ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl163,plain,
    ! [X3: $i] :
      ( ( aElementOf0 @ sk__40 @ xI )
      | ~ ( aElementOf0 @ X3 @ xI )
      | ( X3 = sz00 )
      | ~ ( iLess0 @ ( sbrdtbr0 @ X3 ) @ ( sbrdtbr0 @ sk__39 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl177_004,plain,
    ! [X6: $i] :
      ( ( iLess0 @ ( sbrdtbr0 @ ( sk__36 @ X6 ) ) @ ( sbrdtbr0 @ X6 ) )
      | ( X6 = sz00 )
      | ~ ( aElementOf0 @ X6 @ xI ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4702,plain,
    ( ( ( sk__36 @ sk__39 )
      = sz00 )
    | ~ ( aElementOf0 @ ( sk__36 @ sk__39 ) @ xI )
    | ( aElementOf0 @ sk__40 @ xI )
    | ~ ( aElementOf0 @ sk__39 @ xI )
    | ( sk__39 = sz00 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl163,zip_derived_cl177]) ).

thf(zip_derived_cl172,plain,
    aElementOf0 @ sk__39 @ xI,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4708,plain,
    ( ( ( sk__36 @ sk__39 )
      = sz00 )
    | ~ ( aElementOf0 @ ( sk__36 @ sk__39 ) @ xI )
    | ( aElementOf0 @ sk__40 @ xI )
    | ( sk__39 = sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4702,zip_derived_cl172]) ).

thf(zip_derived_cl171,plain,
    sk__39 != sz00,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl172_005,plain,
    aElementOf0 @ sk__39 @ xI,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl179,plain,
    ! [X6: $i] :
      ( ( ( sk__36 @ X6 )
       != sz00 )
      | ( X6 = sz00 )
      | ~ ( aElementOf0 @ X6 @ xI ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1182,plain,
    ( ( sk__39 = sz00 )
    | ( ( sk__36 @ sk__39 )
     != sz00 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl179]) ).

thf(zip_derived_cl171_006,plain,
    sk__39 != sz00,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1183,plain,
    ( ( sk__36 @ sk__39 )
   != sz00 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1182,zip_derived_cl171]) ).

thf(zip_derived_cl4709,plain,
    ( ~ ( aElementOf0 @ ( sk__36 @ sk__39 ) @ xI )
    | ( aElementOf0 @ sk__40 @ xI ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl4708,zip_derived_cl171,zip_derived_cl1183]) ).

thf(zip_derived_cl5748,plain,
    ( ~ ( aElementOf0 @ sk__39 @ xI )
    | ( sk__39 = sz00 )
    | ( aElementOf0 @ sk__40 @ xI ) ),
    inference('sup-',[status(thm)],[zip_derived_cl181,zip_derived_cl4709]) ).

thf(zip_derived_cl172_007,plain,
    aElementOf0 @ sk__39 @ xI,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5749,plain,
    ( ( sk__39 = sz00 )
    | ( aElementOf0 @ sk__40 @ xI ) ),
    inference(demod,[status(thm)],[zip_derived_cl5748,zip_derived_cl172]) ).

thf(zip_derived_cl171_008,plain,
    sk__39 != sz00,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5750,plain,
    aElementOf0 @ sk__40 @ xI,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl5749,zip_derived_cl171]) ).

thf(zip_derived_cl304563,plain,
    ! [X0: $i] :
      ( ( sk__40 = sz00 )
      | ~ ( iLess0 @ ( sbrdtbr0 @ X0 ) @ ( sbrdtbr0 @ sk__39 ) )
      | ( X0 = sz00 )
      | ~ ( aElementOf0 @ X0 @ xI )
      | ( ( sk__36 @ sk__40 )
        = sz00 )
      | ~ ( aElementOf0 @ ( sk__36 @ sk__40 ) @ xI ) ),
    inference(demod,[status(thm)],[zip_derived_cl4689,zip_derived_cl5750]) ).

thf(zip_derived_cl179_009,plain,
    ! [X6: $i] :
      ( ( ( sk__36 @ X6 )
       != sz00 )
      | ( X6 = sz00 )
      | ~ ( aElementOf0 @ X6 @ xI ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5750_010,plain,
    aElementOf0 @ sk__40 @ xI,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl5749,zip_derived_cl171]) ).

thf(zip_derived_cl5766,plain,
    ( ( sk__40 = sz00 )
    | ( ( sk__36 @ sk__40 )
     != sz00 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl179,zip_derived_cl5750]) ).

thf(zip_derived_cl181_011,plain,
    ! [X6: $i] :
      ( ( aElementOf0 @ ( sk__36 @ X6 ) @ xI )
      | ( X6 = sz00 )
      | ~ ( aElementOf0 @ X6 @ xI ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl161,plain,
    ! [X3: $i] :
      ( ( sk__40 != sz00 )
      | ~ ( aElementOf0 @ X3 @ xI )
      | ( X3 = sz00 )
      | ~ ( iLess0 @ ( sbrdtbr0 @ X3 ) @ ( sbrdtbr0 @ sk__39 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl177_012,plain,
    ! [X6: $i] :
      ( ( iLess0 @ ( sbrdtbr0 @ ( sk__36 @ X6 ) ) @ ( sbrdtbr0 @ X6 ) )
      | ( X6 = sz00 )
      | ~ ( aElementOf0 @ X6 @ xI ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4701,plain,
    ( ( ( sk__36 @ sk__39 )
      = sz00 )
    | ~ ( aElementOf0 @ ( sk__36 @ sk__39 ) @ xI )
    | ( sk__40 != sz00 )
    | ~ ( aElementOf0 @ sk__39 @ xI )
    | ( sk__39 = sz00 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl161,zip_derived_cl177]) ).

thf(zip_derived_cl172_013,plain,
    aElementOf0 @ sk__39 @ xI,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4706,plain,
    ( ( ( sk__36 @ sk__39 )
      = sz00 )
    | ~ ( aElementOf0 @ ( sk__36 @ sk__39 ) @ xI )
    | ( sk__40 != sz00 )
    | ( sk__39 = sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4701,zip_derived_cl172]) ).

thf(zip_derived_cl171_014,plain,
    sk__39 != sz00,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1183_015,plain,
    ( ( sk__36 @ sk__39 )
   != sz00 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1182,zip_derived_cl171]) ).

thf(zip_derived_cl4707,plain,
    ( ~ ( aElementOf0 @ ( sk__36 @ sk__39 ) @ xI )
    | ( sk__40 != sz00 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl4706,zip_derived_cl171,zip_derived_cl1183]) ).

thf(zip_derived_cl4747,plain,
    ( ~ ( aElementOf0 @ sk__39 @ xI )
    | ( sk__39 = sz00 )
    | ( sk__40 != sz00 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl181,zip_derived_cl4707]) ).

thf(zip_derived_cl172_016,plain,
    aElementOf0 @ sk__39 @ xI,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4748,plain,
    ( ( sk__39 = sz00 )
    | ( sk__40 != sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4747,zip_derived_cl172]) ).

thf(zip_derived_cl171_017,plain,
    sk__39 != sz00,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4749,plain,
    sk__40 != sz00,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl4748,zip_derived_cl171]) ).

thf(zip_derived_cl5770,plain,
    ( ( sk__36 @ sk__40 )
   != sz00 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl5766,zip_derived_cl4749]) ).

thf(zip_derived_cl4749_018,plain,
    sk__40 != sz00,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl4748,zip_derived_cl171]) ).

thf(zip_derived_cl304564,plain,
    ! [X0: $i] :
      ( ~ ( iLess0 @ ( sbrdtbr0 @ X0 ) @ ( sbrdtbr0 @ sk__39 ) )
      | ( X0 = sz00 )
      | ~ ( aElementOf0 @ X0 @ xI )
      | ~ ( aElementOf0 @ ( sk__36 @ sk__40 ) @ xI ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl304563,zip_derived_cl5770,zip_derived_cl4749]) ).

thf(zip_derived_cl304568,plain,
    ( ~ ( aElementOf0 @ sk__39 @ xI )
    | ( sk__39 = sz00 )
    | ~ ( aElementOf0 @ ( sk__36 @ sk__40 ) @ xI )
    | ~ ( aElementOf0 @ ( sk__36 @ sk__39 ) @ xI )
    | ( ( sk__36 @ sk__39 )
      = sz00 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl177,zip_derived_cl304564]) ).

thf(zip_derived_cl172_019,plain,
    aElementOf0 @ sk__39 @ xI,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl304572,plain,
    ( ( sk__39 = sz00 )
    | ~ ( aElementOf0 @ ( sk__36 @ sk__40 ) @ xI )
    | ~ ( aElementOf0 @ ( sk__36 @ sk__39 ) @ xI )
    | ( ( sk__36 @ sk__39 )
      = sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl304568,zip_derived_cl172]) ).

thf(zip_derived_cl1183_020,plain,
    ( ( sk__36 @ sk__39 )
   != sz00 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1182,zip_derived_cl171]) ).

thf(zip_derived_cl171_021,plain,
    sk__39 != sz00,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl304573,plain,
    ( ~ ( aElementOf0 @ ( sk__36 @ sk__40 ) @ xI )
    | ~ ( aElementOf0 @ ( sk__36 @ sk__39 ) @ xI ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl304572,zip_derived_cl1183,zip_derived_cl171]) ).

thf(zip_derived_cl304717,plain,
    ( ~ ( aElementOf0 @ sk__40 @ xI )
    | ( sk__40 = sz00 )
    | ~ ( aElementOf0 @ ( sk__36 @ sk__39 ) @ xI ) ),
    inference('sup-',[status(thm)],[zip_derived_cl181,zip_derived_cl304573]) ).

thf(zip_derived_cl5750_022,plain,
    aElementOf0 @ sk__40 @ xI,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl5749,zip_derived_cl171]) ).

thf(zip_derived_cl304739,plain,
    ( ( sk__40 = sz00 )
    | ~ ( aElementOf0 @ ( sk__36 @ sk__39 ) @ xI ) ),
    inference(demod,[status(thm)],[zip_derived_cl304717,zip_derived_cl5750]) ).

thf(zip_derived_cl4749_023,plain,
    sk__40 != sz00,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl4748,zip_derived_cl171]) ).

thf(zip_derived_cl304740,plain,
    ~ ( aElementOf0 @ ( sk__36 @ sk__39 ) @ xI ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl304739,zip_derived_cl4749]) ).

thf(zip_derived_cl304901,plain,
    ( ~ ( aElementOf0 @ sk__39 @ xI )
    | ( sk__39 = sz00 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl181,zip_derived_cl304740]) ).

thf(zip_derived_cl172_024,plain,
    aElementOf0 @ sk__39 @ xI,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl304922,plain,
    sk__39 = sz00,
    inference(demod,[status(thm)],[zip_derived_cl304901,zip_derived_cl172]) ).

thf(zip_derived_cl171_025,plain,
    sk__39 != sz00,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl304923,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl304922,zip_derived_cl171]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : RNG111+4 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.cQwTLgx0Pe true
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Sun Aug 27 01:58:42 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % 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
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 274.28/40.17  % Solved by fo/fo3_bce.sh.
% 274.28/40.17  % BCE start: 188
% 274.28/40.17  % BCE eliminated: 1
% 274.28/40.17  % PE start: 187
% 274.28/40.17  logic: eq
% 274.28/40.17  % PE eliminated: -9
% 274.28/40.17  % done 15815 iterations in 39.363s
% 274.28/40.17  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 274.28/40.17  % SZS output start Refutation
% See solution above
% 274.28/40.18  
% 274.28/40.18  
% 274.28/40.18  % Terminating...
% 274.77/40.30  % Runner terminated.
% 274.77/40.33  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------