TSTP Solution File: RNG097+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG097+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.ueWx4HNz7r true

% Computer : n017.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 14:06:52 EDT 2023

% Result   : Theorem 7.52s 1.65s
% Output   : Refutation 7.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  162 (  69 unt;  15 typ;   0 def)
%            Number of atoms       :  298 (  72 equ;   0 cnn)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  962 ( 123   ~; 119   |;  17   &; 688   @)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   9 con; 0-2 aty)
%            Number of variables   :   90 (   0   ^;  90   !;   0   ?;  90   :)

% Comments : 
%------------------------------------------------------------------------------
thf(smndt0_type,type,
    smndt0: $i > $i ).

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

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

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

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

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

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

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

thf(xy_type,type,
    xy: $i ).

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

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

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

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

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

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

thf(m__,conjecture,
    aElementOf0 @ ( sdtasdt0 @ xx @ ( sdtpldt0 @ xb @ ( smndt0 @ sz10 ) ) ) @ xI ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( aElementOf0 @ ( sdtasdt0 @ xx @ ( sdtpldt0 @ xb @ ( smndt0 @ sz10 ) ) ) @ xI ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl78,plain,
    ~ ( aElementOf0 @ ( sdtasdt0 @ xx @ ( sdtpldt0 @ xb @ ( smndt0 @ sz10 ) ) ) @ xI ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(m__1205,axiom,
    ( ( aIdeal0 @ xJ )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xJ )
       => ( ! [W1: $i] :
              ( ( aElementOf0 @ W1 @ xJ )
             => ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ xJ ) )
          & ! [W1: $i] :
              ( ( aElement0 @ W1 )
             => ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ xJ ) ) ) )
    & ( aSet0 @ xJ )
    & ( 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_cl61,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( aElementOf0 @ ( sdtasdt0 @ X0 @ X1 ) @ xI )
      | ~ ( aElementOf0 @ X1 @ xI ) ),
    inference(cnf,[status(esa)],[m__1205]) ).

thf(zip_derived_cl372,plain,
    ( ~ ( aElement0 @ xx )
    | ~ ( aElementOf0 @ ( sdtpldt0 @ xb @ ( smndt0 @ sz10 ) ) @ xI ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl78,zip_derived_cl61]) ).

thf(m__1217,axiom,
    ( ( aElement0 @ xy )
    & ( aElement0 @ xx ) ) ).

thf(zip_derived_cl72,plain,
    aElement0 @ xx,
    inference(cnf,[status(esa)],[m__1217]) ).

thf(zip_derived_cl385,plain,
    ~ ( aElementOf0 @ ( sdtpldt0 @ xb @ ( smndt0 @ sz10 ) ) @ xI ),
    inference(demod,[status(thm)],[zip_derived_cl372,zip_derived_cl72]) ).

thf(mSortsU,axiom,
    ! [W0: $i] :
      ( ( aElement0 @ W0 )
     => ( aElement0 @ ( smndt0 @ W0 ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ( aElement0 @ ( smndt0 @ X0 ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mSortsU]) ).

thf(m__1294,axiom,
    ( ( ( sdtpldt0 @ xa @ xb )
      = sz10 )
    & ( aElementOf0 @ xb @ xJ )
    & ( aElementOf0 @ xa @ xI ) ) ).

thf(zip_derived_cl73,plain,
    ( ( sdtpldt0 @ xa @ xb )
    = sz10 ),
    inference(cnf,[status(esa)],[m__1294]) ).

thf(mAddInvr,axiom,
    ! [W0: $i] :
      ( ( aElement0 @ W0 )
     => ( ( ( sdtpldt0 @ W0 @ ( smndt0 @ W0 ) )
          = sz00 )
        & ( sz00
          = ( sdtpldt0 @ ( smndt0 @ W0 ) @ W0 ) ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i] :
      ( ( sz00
        = ( sdtpldt0 @ ( smndt0 @ X0 ) @ X0 ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mAddInvr]) ).

thf(mAddAsso,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 )
        & ( aElement0 @ W2 ) )
     => ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
        = ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X2 )
      | ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
        = ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mAddAsso]) ).

thf(zip_derived_cl191,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ ( smndt0 @ X1 ) )
      | ~ ( aElement0 @ X0 )
      | ( ( sdtpldt0 @ sz00 @ X0 )
        = ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl7]) ).

thf(zip_derived_cl205,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtpldt0 @ sz00 @ X0 )
        = ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) ) )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ ( smndt0 @ X1 ) )
      | ~ ( aElement0 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl191]) ).

thf(zip_derived_cl3_001,plain,
    ! [X0: $i] :
      ( ( aElement0 @ ( smndt0 @ X0 ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mSortsU]) ).

thf(zip_derived_cl2127,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X0 )
      | ( ( sdtpldt0 @ sz00 @ X0 )
        = ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl205,zip_derived_cl3]) ).

thf(zip_derived_cl2165,plain,
    ( ~ ( aElement0 @ xa )
    | ~ ( aElement0 @ xb )
    | ( ( sdtpldt0 @ sz00 @ xb )
      = ( sdtpldt0 @ ( smndt0 @ xa ) @ sz10 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl73,zip_derived_cl2127]) ).

thf(zip_derived_cl75,plain,
    aElementOf0 @ xa @ xI,
    inference(cnf,[status(esa)],[m__1294]) ).

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_cl81,plain,
    ( ( aElement0 @ xa )
    | ~ ( aSet0 @ xI ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl25]) ).

thf(zip_derived_cl59,plain,
    aSet0 @ xI,
    inference(cnf,[status(esa)],[m__1205]) ).

thf(zip_derived_cl83,plain,
    aElement0 @ xa,
    inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl59]) ).

thf(zip_derived_cl74,plain,
    aElementOf0 @ xb @ xJ,
    inference(cnf,[status(esa)],[m__1294]) ).

thf(zip_derived_cl25_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mEOfElem]) ).

thf(zip_derived_cl82,plain,
    ( ( aElement0 @ xb )
    | ~ ( aSet0 @ xJ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl25]) ).

thf(zip_derived_cl63,plain,
    aSet0 @ xJ,
    inference(cnf,[status(esa)],[m__1205]) ).

thf(zip_derived_cl84,plain,
    aElement0 @ xb,
    inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl63]) ).

thf(zip_derived_cl2188,plain,
    ( ( sdtpldt0 @ sz00 @ xb )
    = ( sdtpldt0 @ ( smndt0 @ xa ) @ sz10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2165,zip_derived_cl83,zip_derived_cl84]) ).

thf(mAddComm,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 ) )
     => ( ( sdtpldt0 @ W0 @ W1 )
        = ( sdtpldt0 @ W1 @ W0 ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( ( sdtpldt0 @ X0 @ X1 )
        = ( sdtpldt0 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mAddComm]) ).

thf(zip_derived_cl2193,plain,
    ( ~ ( aElement0 @ ( smndt0 @ xa ) )
    | ~ ( aElement0 @ sz10 )
    | ( ( sdtpldt0 @ sz00 @ xb )
      = ( sdtpldt0 @ sz10 @ ( smndt0 @ xa ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2188,zip_derived_cl6]) ).

thf(zip_derived_cl3_003,plain,
    ! [X0: $i] :
      ( ( aElement0 @ ( smndt0 @ X0 ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mSortsU]) ).

thf(mMulMnOne,axiom,
    ! [W0: $i] :
      ( ( aElement0 @ W0 )
     => ( ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ W0 )
          = ( smndt0 @ W0 ) )
        & ( ( smndt0 @ W0 )
          = ( sdtasdt0 @ W0 @ ( smndt0 @ sz10 ) ) ) ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ X0 )
        = ( smndt0 @ X0 ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mMulMnOne]) ).

thf(zip_derived_cl75_004,plain,
    aElementOf0 @ xa @ xI,
    inference(cnf,[status(esa)],[m__1294]) ).

thf(zip_derived_cl61_005,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( aElementOf0 @ ( sdtasdt0 @ X0 @ X1 ) @ xI )
      | ~ ( aElementOf0 @ X1 @ xI ) ),
    inference(cnf,[status(esa)],[m__1205]) ).

thf(zip_derived_cl382,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( aElementOf0 @ ( sdtasdt0 @ X0 @ xa ) @ xI ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl61]) ).

thf(zip_derived_cl587,plain,
    ( ~ ( aElement0 @ xa )
    | ~ ( aElement0 @ ( smndt0 @ sz10 ) )
    | ( aElementOf0 @ ( smndt0 @ xa ) @ xI ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl382]) ).

thf(zip_derived_cl83_006,plain,
    aElement0 @ xa,
    inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl59]) ).

thf(zip_derived_cl595,plain,
    ( ~ ( aElement0 @ ( smndt0 @ sz10 ) )
    | ( aElementOf0 @ ( smndt0 @ xa ) @ xI ) ),
    inference(demod,[status(thm)],[zip_derived_cl587,zip_derived_cl83]) ).

thf(zip_derived_cl653,plain,
    ( ~ ( aElement0 @ sz10 )
    | ( aElementOf0 @ ( smndt0 @ xa ) @ xI ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl595]) ).

thf(mSortsC_01,axiom,
    aElement0 @ sz10 ).

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

thf(zip_derived_cl654,plain,
    aElementOf0 @ ( smndt0 @ xa ) @ xI,
    inference(demod,[status(thm)],[zip_derived_cl653,zip_derived_cl2]) ).

thf(zip_derived_cl25_007,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mEOfElem]) ).

thf(zip_derived_cl655,plain,
    ( ( aElement0 @ ( smndt0 @ xa ) )
    | ~ ( aSet0 @ xI ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl654,zip_derived_cl25]) ).

thf(zip_derived_cl59_008,plain,
    aSet0 @ xI,
    inference(cnf,[status(esa)],[m__1205]) ).

thf(zip_derived_cl662,plain,
    aElement0 @ ( smndt0 @ xa ),
    inference(demod,[status(thm)],[zip_derived_cl655,zip_derived_cl59]) ).

thf(zip_derived_cl2_009,plain,
    aElement0 @ sz10,
    inference(cnf,[status(esa)],[mSortsC_01]) ).

thf(zip_derived_cl2208,plain,
    ( ( sdtpldt0 @ sz00 @ xb )
    = ( sdtpldt0 @ sz10 @ ( smndt0 @ xa ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2193,zip_derived_cl662,zip_derived_cl2]) ).

thf(mAddZero,axiom,
    ! [W0: $i] :
      ( ( aElement0 @ W0 )
     => ( ( ( sdtpldt0 @ W0 @ sz00 )
          = W0 )
        & ( W0
          = ( sdtpldt0 @ sz00 @ W0 ) ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sdtpldt0 @ sz00 @ X0 ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mAddZero]) ).

thf(zip_derived_cl2188_010,plain,
    ( ( sdtpldt0 @ sz00 @ xb )
    = ( sdtpldt0 @ ( smndt0 @ xa ) @ sz10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2165,zip_derived_cl83,zip_derived_cl84]) ).

thf(zip_derived_cl9_011,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sdtpldt0 @ sz00 @ X0 ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mAddZero]) ).

thf(zip_derived_cl7_012,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X2 )
      | ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
        = ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mAddAsso]) ).

thf(zip_derived_cl189,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ sz00 )
      | ~ ( aElement0 @ X1 )
      | ( ( sdtpldt0 @ X0 @ X1 )
        = ( sdtpldt0 @ sz00 @ ( sdtpldt0 @ X0 @ X1 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl7]) ).

thf(mSortsC,axiom,
    aElement0 @ sz00 ).

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

thf(zip_derived_cl202,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( ( sdtpldt0 @ X0 @ X1 )
        = ( sdtpldt0 @ sz00 @ ( sdtpldt0 @ X0 @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl189,zip_derived_cl1]) ).

thf(zip_derived_cl203,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtpldt0 @ X0 @ X1 )
        = ( sdtpldt0 @ sz00 @ ( sdtpldt0 @ X0 @ X1 ) ) )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl202]) ).

thf(zip_derived_cl2194,plain,
    ( ( ( sdtpldt0 @ sz00 @ xb )
      = ( sdtpldt0 @ sz00 @ ( sdtpldt0 @ sz00 @ xb ) ) )
    | ~ ( aElement0 @ sz10 )
    | ~ ( aElement0 @ ( smndt0 @ xa ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2188,zip_derived_cl203]) ).

thf(zip_derived_cl2_013,plain,
    aElement0 @ sz10,
    inference(cnf,[status(esa)],[mSortsC_01]) ).

thf(zip_derived_cl662_014,plain,
    aElement0 @ ( smndt0 @ xa ),
    inference(demod,[status(thm)],[zip_derived_cl655,zip_derived_cl59]) ).

thf(zip_derived_cl2209,plain,
    ( ( sdtpldt0 @ sz00 @ xb )
    = ( sdtpldt0 @ sz00 @ ( sdtpldt0 @ sz00 @ xb ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2194,zip_derived_cl2,zip_derived_cl662]) ).

thf(zip_derived_cl2449,plain,
    ( ~ ( aElement0 @ xb )
    | ( xb
      = ( sdtpldt0 @ sz00 @ xb ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl2209]) ).

thf(zip_derived_cl84_015,plain,
    aElement0 @ xb,
    inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl63]) ).

thf(zip_derived_cl2450,plain,
    ( xb
    = ( sdtpldt0 @ sz00 @ xb ) ),
    inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl84]) ).

thf(zip_derived_cl2465,plain,
    ( xb
    = ( sdtpldt0 @ sz10 @ ( smndt0 @ xa ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2208,zip_derived_cl2450]) ).

thf(zip_derived_cl2127_016,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X0 )
      | ( ( sdtpldt0 @ sz00 @ X0 )
        = ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl205,zip_derived_cl3]) ).

thf(zip_derived_cl2631,plain,
    ( ~ ( aElement0 @ sz10 )
    | ~ ( aElement0 @ ( smndt0 @ xa ) )
    | ( ( sdtpldt0 @ sz00 @ ( smndt0 @ xa ) )
      = ( sdtpldt0 @ ( smndt0 @ sz10 ) @ xb ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2465,zip_derived_cl2127]) ).

thf(zip_derived_cl2_017,plain,
    aElement0 @ sz10,
    inference(cnf,[status(esa)],[mSortsC_01]) ).

thf(zip_derived_cl662_018,plain,
    aElement0 @ ( smndt0 @ xa ),
    inference(demod,[status(thm)],[zip_derived_cl655,zip_derived_cl59]) ).

thf(zip_derived_cl2645,plain,
    ( ( sdtpldt0 @ sz00 @ ( smndt0 @ xa ) )
    = ( sdtpldt0 @ ( smndt0 @ sz10 ) @ xb ) ),
    inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl2,zip_derived_cl662]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ X0 @ sz00 )
        = X0 )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mAddZero]) ).

thf(zip_derived_cl2188_019,plain,
    ( ( sdtpldt0 @ sz00 @ xb )
    = ( sdtpldt0 @ ( smndt0 @ xa ) @ sz10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2165,zip_derived_cl83,zip_derived_cl84]) ).

thf(zip_derived_cl2450_020,plain,
    ( xb
    = ( sdtpldt0 @ sz00 @ xb ) ),
    inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl84]) ).

thf(zip_derived_cl2463,plain,
    ( xb
    = ( sdtpldt0 @ ( smndt0 @ xa ) @ sz10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2188,zip_derived_cl2450]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ X0 @ ( smndt0 @ X0 ) )
        = sz00 )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mAddInvr]) ).

thf(zip_derived_cl7_021,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X2 )
      | ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
        = ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mAddAsso]) ).

thf(zip_derived_cl184,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ ( sdtpldt0 @ X1 @ X0 ) )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ ( smndt0 @ ( sdtpldt0 @ X1 @ X0 ) ) )
      | ( sz00
        = ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ ( smndt0 @ ( sdtpldt0 @ X1 @ X0 ) ) ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl7]) ).

thf(mSortsB,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 ) )
     => ( aElement0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( aElement0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB]) ).

thf(zip_derived_cl1361,plain,
    ! [X0: $i,X1: $i] :
      ( ( sz00
        = ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ ( smndt0 @ ( sdtpldt0 @ X1 @ X0 ) ) ) ) )
      | ~ ( aElement0 @ ( smndt0 @ ( sdtpldt0 @ X1 @ X0 ) ) )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl184,zip_derived_cl4]) ).

thf(zip_derived_cl2602,plain,
    ( ( sz00
      = ( sdtpldt0 @ ( smndt0 @ xa ) @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xb ) ) ) )
    | ~ ( aElement0 @ ( smndt0 @ xb ) )
    | ~ ( aElement0 @ ( smndt0 @ xa ) )
    | ~ ( aElement0 @ sz10 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2463,zip_derived_cl1361]) ).

thf(zip_derived_cl3_022,plain,
    ! [X0: $i] :
      ( ( aElement0 @ ( smndt0 @ X0 ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mSortsU]) ).

thf(zip_derived_cl18_023,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ X0 )
        = ( smndt0 @ X0 ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mMulMnOne]) ).

thf(zip_derived_cl74_024,plain,
    aElementOf0 @ xb @ xJ,
    inference(cnf,[status(esa)],[m__1294]) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( aElementOf0 @ ( sdtasdt0 @ X0 @ X1 ) @ xJ )
      | ~ ( aElementOf0 @ X1 @ xJ ) ),
    inference(cnf,[status(esa)],[m__1205]) ).

thf(zip_derived_cl463,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( aElementOf0 @ ( sdtasdt0 @ X0 @ xb ) @ xJ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl65]) ).

thf(zip_derived_cl694,plain,
    ( ~ ( aElement0 @ xb )
    | ~ ( aElement0 @ ( smndt0 @ sz10 ) )
    | ( aElementOf0 @ ( smndt0 @ xb ) @ xJ ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl463]) ).

thf(zip_derived_cl84_025,plain,
    aElement0 @ xb,
    inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl63]) ).

thf(zip_derived_cl702,plain,
    ( ~ ( aElement0 @ ( smndt0 @ sz10 ) )
    | ( aElementOf0 @ ( smndt0 @ xb ) @ xJ ) ),
    inference(demod,[status(thm)],[zip_derived_cl694,zip_derived_cl84]) ).

thf(zip_derived_cl770,plain,
    ( ~ ( aElement0 @ sz10 )
    | ( aElementOf0 @ ( smndt0 @ xb ) @ xJ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl702]) ).

thf(zip_derived_cl2_026,plain,
    aElement0 @ sz10,
    inference(cnf,[status(esa)],[mSortsC_01]) ).

thf(zip_derived_cl771,plain,
    aElementOf0 @ ( smndt0 @ xb ) @ xJ,
    inference(demod,[status(thm)],[zip_derived_cl770,zip_derived_cl2]) ).

thf(zip_derived_cl25_027,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mEOfElem]) ).

thf(zip_derived_cl772,plain,
    ( ( aElement0 @ ( smndt0 @ xb ) )
    | ~ ( aSet0 @ xJ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl771,zip_derived_cl25]) ).

thf(zip_derived_cl63_028,plain,
    aSet0 @ xJ,
    inference(cnf,[status(esa)],[m__1205]) ).

thf(zip_derived_cl779,plain,
    aElement0 @ ( smndt0 @ xb ),
    inference(demod,[status(thm)],[zip_derived_cl772,zip_derived_cl63]) ).

thf(zip_derived_cl662_029,plain,
    aElement0 @ ( smndt0 @ xa ),
    inference(demod,[status(thm)],[zip_derived_cl655,zip_derived_cl59]) ).

thf(zip_derived_cl2_030,plain,
    aElement0 @ sz10,
    inference(cnf,[status(esa)],[mSortsC_01]) ).

thf(zip_derived_cl2617,plain,
    ( sz00
    = ( sdtpldt0 @ ( smndt0 @ xa ) @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xb ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2602,zip_derived_cl779,zip_derived_cl662,zip_derived_cl2]) ).

thf(zip_derived_cl10_031,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ X0 @ ( smndt0 @ X0 ) )
        = sz00 )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mAddInvr]) ).

thf(zip_derived_cl73_032,plain,
    ( ( sdtpldt0 @ xa @ xb )
    = sz10 ),
    inference(cnf,[status(esa)],[m__1294]) ).

thf(zip_derived_cl7_033,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X2 )
      | ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
        = ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mAddAsso]) ).

thf(zip_derived_cl195,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ xb )
      | ~ ( aElement0 @ xa )
      | ~ ( aElement0 @ X0 )
      | ( ( sdtpldt0 @ sz10 @ X0 )
        = ( sdtpldt0 @ xa @ ( sdtpldt0 @ xb @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl73,zip_derived_cl7]) ).

thf(zip_derived_cl84_034,plain,
    aElement0 @ xb,
    inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl63]) ).

thf(zip_derived_cl83_035,plain,
    aElement0 @ xa,
    inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl59]) ).

thf(zip_derived_cl207,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( ( sdtpldt0 @ sz10 @ X0 )
        = ( sdtpldt0 @ xa @ ( sdtpldt0 @ xb @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl84,zip_derived_cl83]) ).

thf(zip_derived_cl2512,plain,
    ( ~ ( aElement0 @ xb )
    | ~ ( aElement0 @ ( smndt0 @ xb ) )
    | ( ( sdtpldt0 @ sz10 @ ( smndt0 @ xb ) )
      = ( sdtpldt0 @ xa @ sz00 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl207]) ).

thf(zip_derived_cl84_036,plain,
    aElement0 @ xb,
    inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl63]) ).

thf(zip_derived_cl779_037,plain,
    aElement0 @ ( smndt0 @ xb ),
    inference(demod,[status(thm)],[zip_derived_cl772,zip_derived_cl63]) ).

thf(zip_derived_cl2520,plain,
    ( ( sdtpldt0 @ sz10 @ ( smndt0 @ xb ) )
    = ( sdtpldt0 @ xa @ sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2512,zip_derived_cl84,zip_derived_cl779]) ).

thf(zip_derived_cl3648,plain,
    ( sz00
    = ( sdtpldt0 @ ( smndt0 @ xa ) @ ( sdtpldt0 @ xa @ sz00 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2617,zip_derived_cl2520]) ).

thf(zip_derived_cl3675,plain,
    ( ~ ( aElement0 @ xa )
    | ( sz00
      = ( sdtpldt0 @ ( smndt0 @ xa ) @ xa ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl3648]) ).

thf(zip_derived_cl83_038,plain,
    aElement0 @ xa,
    inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl59]) ).

thf(zip_derived_cl3679,plain,
    ( sz00
    = ( sdtpldt0 @ ( smndt0 @ xa ) @ xa ) ),
    inference(demod,[status(thm)],[zip_derived_cl3675,zip_derived_cl83]) ).

thf(zip_derived_cl6_039,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( ( sdtpldt0 @ X0 @ X1 )
        = ( sdtpldt0 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mAddComm]) ).

thf(zip_derived_cl3713,plain,
    ( ~ ( aElement0 @ ( smndt0 @ xa ) )
    | ~ ( aElement0 @ xa )
    | ( sz00
      = ( sdtpldt0 @ xa @ ( smndt0 @ xa ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3679,zip_derived_cl6]) ).

thf(zip_derived_cl662_040,plain,
    aElement0 @ ( smndt0 @ xa ),
    inference(demod,[status(thm)],[zip_derived_cl655,zip_derived_cl59]) ).

thf(zip_derived_cl83_041,plain,
    aElement0 @ xa,
    inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl59]) ).

thf(zip_derived_cl3733,plain,
    ( sz00
    = ( sdtpldt0 @ xa @ ( smndt0 @ xa ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3713,zip_derived_cl662,zip_derived_cl83]) ).

thf(zip_derived_cl2127_042,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X0 )
      | ( ( sdtpldt0 @ sz00 @ X0 )
        = ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl205,zip_derived_cl3]) ).

thf(zip_derived_cl3763,plain,
    ( ~ ( aElement0 @ xa )
    | ~ ( aElement0 @ ( smndt0 @ xa ) )
    | ( ( sdtpldt0 @ sz00 @ ( smndt0 @ xa ) )
      = ( sdtpldt0 @ ( smndt0 @ xa ) @ sz00 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3733,zip_derived_cl2127]) ).

thf(zip_derived_cl83_043,plain,
    aElement0 @ xa,
    inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl59]) ).

thf(zip_derived_cl662_044,plain,
    aElement0 @ ( smndt0 @ xa ),
    inference(demod,[status(thm)],[zip_derived_cl655,zip_derived_cl59]) ).

thf(zip_derived_cl3780,plain,
    ( ( sdtpldt0 @ sz00 @ ( smndt0 @ xa ) )
    = ( sdtpldt0 @ ( smndt0 @ xa ) @ sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3763,zip_derived_cl83,zip_derived_cl662]) ).

thf(zip_derived_cl8_045,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ X0 @ sz00 )
        = X0 )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mAddZero]) ).

thf(zip_derived_cl7637,plain,
    ( ( ( sdtpldt0 @ sz00 @ ( smndt0 @ xa ) )
      = ( smndt0 @ xa ) )
    | ~ ( aElement0 @ ( smndt0 @ xa ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3780,zip_derived_cl8]) ).

thf(zip_derived_cl662_046,plain,
    aElement0 @ ( smndt0 @ xa ),
    inference(demod,[status(thm)],[zip_derived_cl655,zip_derived_cl59]) ).

thf(zip_derived_cl7655,plain,
    ( ( sdtpldt0 @ sz00 @ ( smndt0 @ xa ) )
    = ( smndt0 @ xa ) ),
    inference(demod,[status(thm)],[zip_derived_cl7637,zip_derived_cl662]) ).

thf(zip_derived_cl7870,plain,
    ( ( smndt0 @ xa )
    = ( sdtpldt0 @ ( smndt0 @ sz10 ) @ xb ) ),
    inference(demod,[status(thm)],[zip_derived_cl2645,zip_derived_cl7655]) ).

thf(zip_derived_cl6_047,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( ( sdtpldt0 @ X0 @ X1 )
        = ( sdtpldt0 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mAddComm]) ).

thf(zip_derived_cl7913,plain,
    ( ~ ( aElement0 @ ( smndt0 @ sz10 ) )
    | ~ ( aElement0 @ xb )
    | ( ( smndt0 @ xa )
      = ( sdtpldt0 @ xb @ ( smndt0 @ sz10 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl7870,zip_derived_cl6]) ).

thf(zip_derived_cl84_048,plain,
    aElement0 @ xb,
    inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl63]) ).

thf(zip_derived_cl7935,plain,
    ( ~ ( aElement0 @ ( smndt0 @ sz10 ) )
    | ( ( smndt0 @ xa )
      = ( sdtpldt0 @ xb @ ( smndt0 @ sz10 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7913,zip_derived_cl84]) ).

thf(zip_derived_cl7952,plain,
    ( ~ ( aElement0 @ sz10 )
    | ( ( smndt0 @ xa )
      = ( sdtpldt0 @ xb @ ( smndt0 @ sz10 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl7935]) ).

thf(zip_derived_cl2_049,plain,
    aElement0 @ sz10,
    inference(cnf,[status(esa)],[mSortsC_01]) ).

thf(zip_derived_cl7953,plain,
    ( ( smndt0 @ xa )
    = ( sdtpldt0 @ xb @ ( smndt0 @ sz10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7952,zip_derived_cl2]) ).

thf(zip_derived_cl654_050,plain,
    aElementOf0 @ ( smndt0 @ xa ) @ xI,
    inference(demod,[status(thm)],[zip_derived_cl653,zip_derived_cl2]) ).

thf(zip_derived_cl7961,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl385,zip_derived_cl7953,zip_derived_cl654]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : RNG097+2 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ueWx4HNz7r true
% 0.15/0.35  % Computer : n017.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Sun Aug 27 01:05:41 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.22/0.67  % Total configuration time : 435
% 0.22/0.67  % Estimated wc time : 1092
% 0.22/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 7.52/1.65  % Solved by fo/fo13.sh.
% 7.52/1.65  % done 902 iterations in 0.863s
% 7.52/1.65  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.52/1.65  % SZS output start Refutation
% See solution above
% 7.52/1.65  
% 7.52/1.65  
% 7.52/1.65  % Terminating...
% 8.06/1.76  % Runner terminated.
% 8.06/1.78  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------