TSTP Solution File: RNG092+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG092+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.h40EFPUQ69 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 14:06:50 EDT 2023

% Result   : Theorem 0.21s 0.90s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   57 (   9 unt;  15 typ;   0 def)
%            Number of atoms       :  219 (  25 equ;   0 cnn)
%            Maximal formula atoms :   39 (   5 avg)
%            Number of connectives : 1010 (  73   ~;  61   |;  83   &; 760   @)
%                                         (   4 <=>;  18  =>;  11  <=;   0 <~>)
%            Maximal formula depth :   30 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   7 con; 0-3 aty)
%            Number of variables   :  110 (   0   ^;  68   !;  42   ?; 110   :)

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

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

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

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

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

thf(xJ_type,type,
    xJ: $i ).

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

thf(sk__15_type,type,
    sk__15: $i ).

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

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

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

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

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

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

thf(m__,conjecture,
    ( ! [W0: $i,W1: $i,W2: $i] :
        ( ( ( aElement0 @ W2 )
          & ( ( aElementOf0 @ W1 @ ( sdtpldt1 @ xI @ xJ ) )
            | ? [W3: $i,W4: $i] :
                ( ( aElementOf0 @ W3 @ xI )
                & ( aElementOf0 @ W4 @ xJ )
                & ( ( sdtpldt0 @ W3 @ W4 )
                  = W1 ) ) )
          & ( ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) )
            | ? [W3: $i,W4: $i] :
                ( ( aElementOf0 @ W3 @ xI )
                & ( aElementOf0 @ W4 @ xJ )
                & ( ( sdtpldt0 @ W3 @ W4 )
                  = W0 ) ) ) )
       => ? [W3: $i,W4: $i] :
            ( ( aElementOf0 @ W3 @ xI )
            & ( aElementOf0 @ W4 @ xJ )
            & ( W0
              = ( sdtpldt0 @ W3 @ W4 ) )
            & ? [W5: $i,W6: $i] :
                ( ( aElementOf0 @ W5 @ xI )
                & ( aElementOf0 @ W6 @ xJ )
                & ( W1
                  = ( sdtpldt0 @ W5 @ W6 ) )
                & ( aElementOf0 @ ( sdtpldt0 @ W3 @ W5 ) @ xI )
                & ( aElementOf0 @ ( sdtpldt0 @ W4 @ W6 ) @ xJ )
                & ( aElementOf0 @ ( sdtasdt0 @ W2 @ W3 ) @ xI )
                & ( aElementOf0 @ ( sdtasdt0 @ W2 @ W4 ) @ xJ )
                & ( ( sdtpldt0 @ W0 @ W1 )
                  = ( sdtpldt0 @ ( sdtpldt0 @ W3 @ W5 ) @ ( sdtpldt0 @ W4 @ W6 ) ) )
                & ? [W7: $i,W8: $i] :
                    ( ( aElementOf0 @ W7 @ xI )
                    & ( aElementOf0 @ W8 @ xJ )
                    & ( ( sdtpldt0 @ W7 @ W8 )
                      = ( sdtpldt0 @ W0 @ W1 ) ) )
                & ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt1 @ xI @ xJ ) )
                & ? [W7: $i,W8: $i] :
                    ( ( aElementOf0 @ W7 @ xI )
                    & ( aElementOf0 @ W8 @ xJ )
                    & ( ( sdtpldt0 @ W7 @ W8 )
                      = ( sdtasdt0 @ W2 @ W0 ) ) )
                & ( aElementOf0 @ ( sdtasdt0 @ W2 @ W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
   => ( ( ! [W0: $i] :
            ( ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) )
          <=> ? [W1: $i,W2: $i] :
                ( ( aElementOf0 @ W1 @ xI )
                & ( aElementOf0 @ W2 @ xJ )
                & ( ( sdtpldt0 @ W1 @ W2 )
                  = W0 ) ) )
        & ( aSet0 @ ( sdtpldt1 @ xI @ xJ ) ) )
     => ( ( aIdeal0 @ ( sdtpldt1 @ xI @ xJ ) )
        | ! [W0: $i] :
            ( ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) )
           => ( ! [W1: $i] :
                  ( ( aElement0 @ W1 )
                 => ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
              & ! [W1: $i] :
                  ( ( aElementOf0 @ W1 @ ( sdtpldt1 @ xI @ xJ ) )
                 => ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,type,
    zip_tseitin_3: $i > $i > $i > $o ).

thf(zf_stmt_1,axiom,
    ! [W2: $i,W1: $i,W0: $i] :
      ( ( zip_tseitin_3 @ W2 @ W1 @ W0 )
    <=> ( ( ( sdtpldt0 @ W1 @ W2 )
          = W0 )
        & ( aElementOf0 @ W2 @ xJ )
        & ( aElementOf0 @ W1 @ xI ) ) ) ).

thf(zf_stmt_2,conjecture,
    ( ! [W0: $i,W1: $i,W2: $i] :
        ( ( ( ? [W3: $i,W4: $i] :
                ( ( ( sdtpldt0 @ W3 @ W4 )
                  = W0 )
                & ( aElementOf0 @ W4 @ xJ )
                & ( aElementOf0 @ W3 @ xI ) )
            | ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) ) )
          & ( ? [W3: $i,W4: $i] :
                ( ( ( sdtpldt0 @ W3 @ W4 )
                  = W1 )
                & ( aElementOf0 @ W4 @ xJ )
                & ( aElementOf0 @ W3 @ xI ) )
            | ( aElementOf0 @ W1 @ ( sdtpldt1 @ xI @ xJ ) ) )
          & ( aElement0 @ W2 ) )
       => ? [W3: $i,W4: $i] :
            ( ? [W5: $i,W6: $i] :
                ( ( aElementOf0 @ ( sdtasdt0 @ W2 @ W0 ) @ ( sdtpldt1 @ xI @ xJ ) )
                & ? [W7: $i,W8: $i] :
                    ( ( ( sdtpldt0 @ W7 @ W8 )
                      = ( sdtasdt0 @ W2 @ W0 ) )
                    & ( aElementOf0 @ W8 @ xJ )
                    & ( aElementOf0 @ W7 @ xI ) )
                & ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt1 @ xI @ xJ ) )
                & ? [W7: $i,W8: $i] :
                    ( ( ( sdtpldt0 @ W7 @ W8 )
                      = ( sdtpldt0 @ W0 @ W1 ) )
                    & ( aElementOf0 @ W8 @ xJ )
                    & ( aElementOf0 @ W7 @ xI ) )
                & ( ( sdtpldt0 @ W0 @ W1 )
                  = ( sdtpldt0 @ ( sdtpldt0 @ W3 @ W5 ) @ ( sdtpldt0 @ W4 @ W6 ) ) )
                & ( aElementOf0 @ ( sdtasdt0 @ W2 @ W4 ) @ xJ )
                & ( aElementOf0 @ ( sdtasdt0 @ W2 @ W3 ) @ xI )
                & ( aElementOf0 @ ( sdtpldt0 @ W4 @ W6 ) @ xJ )
                & ( aElementOf0 @ ( sdtpldt0 @ W3 @ W5 ) @ xI )
                & ( W1
                  = ( sdtpldt0 @ W5 @ W6 ) )
                & ( aElementOf0 @ W6 @ xJ )
                & ( aElementOf0 @ W5 @ xI ) )
            & ( W0
              = ( sdtpldt0 @ W3 @ W4 ) )
            & ( aElementOf0 @ W4 @ xJ )
            & ( aElementOf0 @ W3 @ xI ) ) )
   => ( ( ( aSet0 @ ( sdtpldt1 @ xI @ xJ ) )
        & ! [W0: $i] :
            ( ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) )
          <=> ? [W1: $i,W2: $i] : ( zip_tseitin_3 @ W2 @ W1 @ W0 ) ) )
     => ( ! [W0: $i] :
            ( ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) )
           => ( ! [W1: $i] :
                  ( ( aElementOf0 @ W1 @ ( sdtpldt1 @ xI @ xJ ) )
                 => ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
              & ! [W1: $i] :
                  ( ( aElement0 @ W1 )
                 => ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        | ( aIdeal0 @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) ).

thf(zf_stmt_3,negated_conjecture,
    ~ ( ! [W0: $i,W1: $i,W2: $i] :
          ( ( ( ? [W3: $i,W4: $i] :
                  ( ( ( sdtpldt0 @ W3 @ W4 )
                    = W0 )
                  & ( aElementOf0 @ W4 @ xJ )
                  & ( aElementOf0 @ W3 @ xI ) )
              | ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) ) )
            & ( ? [W3: $i,W4: $i] :
                  ( ( ( sdtpldt0 @ W3 @ W4 )
                    = W1 )
                  & ( aElementOf0 @ W4 @ xJ )
                  & ( aElementOf0 @ W3 @ xI ) )
              | ( aElementOf0 @ W1 @ ( sdtpldt1 @ xI @ xJ ) ) )
            & ( aElement0 @ W2 ) )
         => ? [W3: $i,W4: $i] :
              ( ? [W5: $i,W6: $i] :
                  ( ( aElementOf0 @ ( sdtasdt0 @ W2 @ W0 ) @ ( sdtpldt1 @ xI @ xJ ) )
                  & ? [W7: $i,W8: $i] :
                      ( ( ( sdtpldt0 @ W7 @ W8 )
                        = ( sdtasdt0 @ W2 @ W0 ) )
                      & ( aElementOf0 @ W8 @ xJ )
                      & ( aElementOf0 @ W7 @ xI ) )
                  & ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt1 @ xI @ xJ ) )
                  & ? [W7: $i,W8: $i] :
                      ( ( ( sdtpldt0 @ W7 @ W8 )
                        = ( sdtpldt0 @ W0 @ W1 ) )
                      & ( aElementOf0 @ W8 @ xJ )
                      & ( aElementOf0 @ W7 @ xI ) )
                  & ( ( sdtpldt0 @ W0 @ W1 )
                    = ( sdtpldt0 @ ( sdtpldt0 @ W3 @ W5 ) @ ( sdtpldt0 @ W4 @ W6 ) ) )
                  & ( aElementOf0 @ ( sdtasdt0 @ W2 @ W4 ) @ xJ )
                  & ( aElementOf0 @ ( sdtasdt0 @ W2 @ W3 ) @ xI )
                  & ( aElementOf0 @ ( sdtpldt0 @ W4 @ W6 ) @ xJ )
                  & ( aElementOf0 @ ( sdtpldt0 @ W3 @ W5 ) @ xI )
                  & ( W1
                    = ( sdtpldt0 @ W5 @ W6 ) )
                  & ( aElementOf0 @ W6 @ xJ )
                  & ( aElementOf0 @ W5 @ xI ) )
              & ( W0
                = ( sdtpldt0 @ W3 @ W4 ) )
              & ( aElementOf0 @ W4 @ xJ )
              & ( aElementOf0 @ W3 @ xI ) ) )
     => ( ( ( aSet0 @ ( sdtpldt1 @ xI @ xJ ) )
          & ! [W0: $i] :
              ( ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) )
            <=> ? [W1: $i,W2: $i] : ( zip_tseitin_3 @ W2 @ W1 @ W0 ) ) )
       => ( ! [W0: $i] :
              ( ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) )
             => ( ! [W1: $i] :
                    ( ( aElementOf0 @ W1 @ ( sdtpldt1 @ xI @ xJ ) )
                   => ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                & ! [W1: $i] :
                    ( ( aElement0 @ W1 )
                   => ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
          | ( aIdeal0 @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl147,plain,
    ( ( aElementOf0 @ sk__14 @ ( sdtpldt1 @ xI @ xJ ) )
    | ( aElement0 @ sk__15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf('0',plain,
    ( ( aElementOf0 @ sk__14 @ ( sdtpldt1 @ xI @ xJ ) )
    | ( aElement0 @ sk__15 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl148,plain,
    aElementOf0 @ sk__13 @ ( sdtpldt1 @ xI @ xJ ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl70,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( ( sdtpldt0 @ X1 @ X2 )
       != X0 )
      | ~ ( aElementOf0 @ X2 @ xJ )
      | ~ ( aElementOf0 @ X1 @ xI )
      | ~ ( aElementOf0 @ X3 @ ( sdtpldt1 @ xI @ xJ ) )
      | ~ ( aElement0 @ X4 )
      | ( aElementOf0 @ ( sdtasdt0 @ X4 @ X3 ) @ ( sdtpldt1 @ xI @ xJ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl152,plain,
    ( ! [X3: $i,X4: $i] :
        ( ~ ( aElementOf0 @ X3 @ ( sdtpldt1 @ xI @ xJ ) )
        | ~ ( aElement0 @ X4 )
        | ( aElementOf0 @ ( sdtasdt0 @ X4 @ X3 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
   <= ! [X3: $i,X4: $i] :
        ( ~ ( aElementOf0 @ X3 @ ( sdtpldt1 @ xI @ xJ ) )
        | ~ ( aElement0 @ X4 )
        | ( aElementOf0 @ ( sdtasdt0 @ X4 @ X3 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl144,plain,
    ( ~ ( aElementOf0 @ ( sdtpldt0 @ sk__13 @ sk__14 ) @ ( sdtpldt1 @ xI @ xJ ) )
    | ~ ( aElementOf0 @ ( sdtasdt0 @ sk__15 @ sk__13 ) @ ( sdtpldt1 @ xI @ xJ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl216,plain,
    ( ~ ( aElementOf0 @ ( sdtasdt0 @ sk__15 @ sk__13 ) @ ( sdtpldt1 @ xI @ xJ ) )
   <= ~ ( aElementOf0 @ ( sdtasdt0 @ sk__15 @ sk__13 ) @ ( sdtpldt1 @ xI @ xJ ) ) ),
    inference(split,[status(esa)],[zip_derived_cl144]) ).

thf(zip_derived_cl231,plain,
    ( ( ~ ( aElement0 @ sk__15 )
      | ~ ( aElementOf0 @ sk__13 @ ( sdtpldt1 @ xI @ xJ ) ) )
   <= ( ~ ( aElementOf0 @ ( sdtasdt0 @ sk__15 @ sk__13 ) @ ( sdtpldt1 @ xI @ xJ ) )
      & ! [X3: $i,X4: $i] :
          ( ~ ( aElementOf0 @ X3 @ ( sdtpldt1 @ xI @ xJ ) )
          | ~ ( aElement0 @ X4 )
          | ( aElementOf0 @ ( sdtasdt0 @ X4 @ X3 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl152,zip_derived_cl216]) ).

thf(zip_derived_cl235,plain,
    ( ~ ( aElementOf0 @ sk__13 @ ( sdtpldt1 @ xI @ xJ ) )
   <= ~ ( aElementOf0 @ sk__13 @ ( sdtpldt1 @ xI @ xJ ) ) ),
    inference(split,[status(esa)],[zip_derived_cl231]) ).

thf('1',plain,
    aElementOf0 @ sk__13 @ ( sdtpldt1 @ xI @ xJ ),
    inference('s_sup-',[status(thm)],[zip_derived_cl148,zip_derived_cl235]) ).

thf(zip_derived_cl148_001,plain,
    aElementOf0 @ sk__13 @ ( sdtpldt1 @ xI @ xJ ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl108,plain,
    ! [X0: $i,X3: $i,X4: $i] :
      ( ~ ( aElementOf0 @ X0 @ ( sdtpldt1 @ xI @ xJ ) )
      | ~ ( aElementOf0 @ X3 @ ( sdtpldt1 @ xI @ xJ ) )
      | ~ ( aElement0 @ X4 )
      | ( aElementOf0 @ ( sdtasdt0 @ X4 @ X3 ) @ ( sdtpldt1 @ xI @ xJ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl185,plain,
    ( ! [X0: $i] :
        ~ ( aElementOf0 @ X0 @ ( sdtpldt1 @ xI @ xJ ) )
   <= ! [X0: $i] :
        ~ ( aElementOf0 @ X0 @ ( sdtpldt1 @ xI @ xJ ) ) ),
    inference(split,[status(esa)],[zip_derived_cl108]) ).

thf('2',plain,
    ~ ! [X0: $i] :
        ~ ( aElementOf0 @ X0 @ ( sdtpldt1 @ xI @ xJ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl148,zip_derived_cl185]) ).

thf('3',plain,
    ( ! [X3: $i,X4: $i] :
        ( ~ ( aElementOf0 @ X3 @ ( sdtpldt1 @ xI @ xJ ) )
        | ~ ( aElement0 @ X4 )
        | ( aElementOf0 @ ( sdtasdt0 @ X4 @ X3 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
    | ! [X0: $i] :
        ~ ( aElementOf0 @ X0 @ ( sdtpldt1 @ xI @ xJ ) ) ),
    inference(split,[status(esa)],[zip_derived_cl108]) ).

thf('4',plain,
    ( ~ ( aElementOf0 @ ( sdtpldt0 @ sk__13 @ sk__14 ) @ ( sdtpldt1 @ xI @ xJ ) )
    | ~ ( aElementOf0 @ ( sdtasdt0 @ sk__15 @ sk__13 ) @ ( sdtpldt1 @ xI @ xJ ) ) ),
    inference(split,[status(esa)],[zip_derived_cl144]) ).

thf(zip_derived_cl146,plain,
    ( ( aElementOf0 @ sk__14 @ ( sdtpldt1 @ xI @ xJ ) )
    | ~ ( aElementOf0 @ ( sdtasdt0 @ sk__15 @ sk__13 ) @ ( sdtpldt1 @ xI @ xJ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf('5',plain,
    ( ( aElementOf0 @ sk__14 @ ( sdtpldt1 @ xI @ xJ ) )
    | ~ ( aElementOf0 @ ( sdtasdt0 @ sk__15 @ sk__13 ) @ ( sdtpldt1 @ xI @ xJ ) ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf('6',plain,
    ( ~ ( aElement0 @ sk__15 )
    | ( aElementOf0 @ ( sdtasdt0 @ sk__15 @ sk__13 ) @ ( sdtpldt1 @ xI @ xJ ) )
    | ~ ! [X3: $i,X4: $i] :
          ( ~ ( aElementOf0 @ X3 @ ( sdtpldt1 @ xI @ xJ ) )
          | ~ ( aElement0 @ X4 )
          | ( aElementOf0 @ ( sdtasdt0 @ X4 @ X3 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
    | ~ ( aElementOf0 @ sk__13 @ ( sdtpldt1 @ xI @ xJ ) ) ),
    inference(split,[status(esa)],[zip_derived_cl231]) ).

thf(zip_derived_cl145,plain,
    ( ~ ( aElementOf0 @ ( sdtpldt0 @ sk__13 @ sk__14 ) @ ( sdtpldt1 @ xI @ xJ ) )
    | ( aElement0 @ sk__15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf('7',plain,
    ( ~ ( aElementOf0 @ ( sdtpldt0 @ sk__13 @ sk__14 ) @ ( sdtpldt1 @ xI @ xJ ) )
    | ( aElement0 @ sk__15 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl112,plain,
    ! [X0: $i,X3: $i,X4: $i] :
      ( ~ ( aElementOf0 @ X0 @ ( sdtpldt1 @ xI @ xJ ) )
      | ~ ( aElementOf0 @ X3 @ ( sdtpldt1 @ xI @ xJ ) )
      | ~ ( aElement0 @ X4 )
      | ( aElementOf0 @ ( sdtpldt0 @ X3 @ X0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl193,plain,
    ( ! [X0: $i,X3: $i] :
        ( ~ ( aElementOf0 @ X3 @ ( sdtpldt1 @ xI @ xJ ) )
        | ( aElementOf0 @ ( sdtpldt0 @ X3 @ X0 ) @ ( sdtpldt1 @ xI @ xJ ) )
        | ~ ( aElementOf0 @ X0 @ ( sdtpldt1 @ xI @ xJ ) ) )
   <= ! [X0: $i,X3: $i] :
        ( ~ ( aElementOf0 @ X3 @ ( sdtpldt1 @ xI @ xJ ) )
        | ( aElementOf0 @ ( sdtpldt0 @ X3 @ X0 ) @ ( sdtpldt1 @ xI @ xJ ) )
        | ~ ( aElementOf0 @ X0 @ ( sdtpldt1 @ xI @ xJ ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl112]) ).

thf(mSortsC,axiom,
    aElement0 @ sz00 ).

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

thf(zip_derived_cl74,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( ( sdtpldt0 @ X1 @ X2 )
       != X0 )
      | ~ ( aElementOf0 @ X2 @ xJ )
      | ~ ( aElementOf0 @ X1 @ xI )
      | ~ ( aElementOf0 @ X3 @ ( sdtpldt1 @ xI @ xJ ) )
      | ~ ( aElement0 @ X4 )
      | ( aElementOf0 @ ( sdtpldt0 @ X3 @ X0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl160,plain,
    ( ! [X4: $i] :
        ~ ( aElement0 @ X4 )
   <= ! [X4: $i] :
        ~ ( aElement0 @ X4 ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf('8',plain,
    ~ ! [X4: $i] :
        ~ ( aElement0 @ X4 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl160]) ).

thf('9',plain,
    ( ! [X0: $i,X3: $i] :
        ( ~ ( aElementOf0 @ X3 @ ( sdtpldt1 @ xI @ xJ ) )
        | ( aElementOf0 @ ( sdtpldt0 @ X3 @ X0 ) @ ( sdtpldt1 @ xI @ xJ ) )
        | ~ ( aElementOf0 @ X0 @ ( sdtpldt1 @ xI @ xJ ) ) )
    | ! [X4: $i] :
        ~ ( aElement0 @ X4 ) ),
    inference(split,[status(esa)],[zip_derived_cl112]) ).

thf('10',plain,
    ! [X0: $i,X3: $i] :
      ( ~ ( aElementOf0 @ X3 @ ( sdtpldt1 @ xI @ xJ ) )
      | ( aElementOf0 @ ( sdtpldt0 @ X3 @ X0 ) @ ( sdtpldt1 @ xI @ xJ ) )
      | ~ ( aElementOf0 @ X0 @ ( sdtpldt1 @ xI @ xJ ) ) ),
    inference('sat_resolution*',[status(thm)],['8','9']) ).

thf(zip_derived_cl958,plain,
    ! [X0: $i,X3: $i] :
      ( ~ ( aElementOf0 @ X3 @ ( sdtpldt1 @ xI @ xJ ) )
      | ( aElementOf0 @ ( sdtpldt0 @ X3 @ X0 ) @ ( sdtpldt1 @ xI @ xJ ) )
      | ~ ( aElementOf0 @ X0 @ ( sdtpldt1 @ xI @ xJ ) ) ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl193,'10']) ).

thf(zip_derived_cl217,plain,
    ( ~ ( aElementOf0 @ ( sdtpldt0 @ sk__13 @ sk__14 ) @ ( sdtpldt1 @ xI @ xJ ) )
   <= ~ ( aElementOf0 @ ( sdtpldt0 @ sk__13 @ sk__14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ),
    inference(split,[status(esa)],[zip_derived_cl144]) ).

thf(zip_derived_cl960,plain,
    ( ( ~ ( aElementOf0 @ sk__14 @ ( sdtpldt1 @ xI @ xJ ) )
      | ~ ( aElementOf0 @ sk__13 @ ( sdtpldt1 @ xI @ xJ ) ) )
   <= ~ ( aElementOf0 @ ( sdtpldt0 @ sk__13 @ sk__14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl958,zip_derived_cl217]) ).

thf(zip_derived_cl148_002,plain,
    aElementOf0 @ sk__13 @ ( sdtpldt1 @ xI @ xJ ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl971,plain,
    ( ~ ( aElementOf0 @ sk__14 @ ( sdtpldt1 @ xI @ xJ ) )
   <= ~ ( aElementOf0 @ ( sdtpldt0 @ sk__13 @ sk__14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl960,zip_derived_cl148]) ).

thf(zip_derived_cl220,plain,
    ( ( aElementOf0 @ sk__14 @ ( sdtpldt1 @ xI @ xJ ) )
   <= ( aElementOf0 @ sk__14 @ ( sdtpldt1 @ xI @ xJ ) ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf('11',plain,
    ( ( aElementOf0 @ ( sdtpldt0 @ sk__13 @ sk__14 ) @ ( sdtpldt1 @ xI @ xJ ) )
    | ~ ( aElementOf0 @ sk__14 @ ( sdtpldt1 @ xI @ xJ ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl971,zip_derived_cl220]) ).

thf(zip_derived_cl982,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','11']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : RNG092+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.h40EFPUQ69 true
% 0.16/0.34  % Computer : n027.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Sun Aug 27 03:21:35 EDT 2023
% 0.16/0.34  % CPUTime  : 
% 0.16/0.34  % Running portfolio for 300 s
% 0.16/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.35  % Number of cores: 8
% 0.16/0.35  % Python version: Python 3.6.8
% 0.16/0.35  % Running in FO mode
% 0.21/0.62  % Total configuration time : 435
% 0.21/0.62  % Estimated wc time : 1092
% 0.21/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.90  % Solved by fo/fo1_av.sh.
% 0.21/0.90  % done 253 iterations in 0.143s
% 0.21/0.90  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.90  % SZS output start Refutation
% See solution above
% 0.21/0.90  
% 0.21/0.90  
% 0.21/0.90  % Terminating...
% 2.48/0.95  % Runner terminated.
% 2.48/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------