TSTP Solution File: RNG068+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG068+2 : 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.Bd3jBLHKrr true

% Computer : n029.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 14:06:39 EDT 2023

% Result   : Timeout 296.44s 42.95s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  102 (  32 unt;  14 typ;   0 def)
%            Number of atoms       :  280 (  24 equ;   0 cnn)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 1533 ( 201   ~; 172   |;  15   &;1140   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;  11 con; 0-2 aty)
%            Number of variables   :   82 (   0   ^;  82   !;   0   ?;  82   :)

% Comments : 
%------------------------------------------------------------------------------
thf(xP_type,type,
    xP: $i ).

thf(xH_type,type,
    xH: $i ).

thf(xG_type,type,
    xG: $i ).

thf(xR_type,type,
    xR: $i ).

thf(xD_type,type,
    xD: $i ).

thf(xS_type,type,
    xS: $i ).

thf(xF_type,type,
    xF: $i ).

thf(xC_type,type,
    xC: $i ).

thf(xE_type,type,
    xE: $i ).

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

thf(aScalar0_type,type,
    aScalar0: $i > $o ).

thf(xN_type,type,
    xN: $i ).

thf(sdtlseqdt0_type,type,
    sdtlseqdt0: $i > $i > $o ).

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

thf(mSumSc,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aScalar0 @ W0 )
        & ( aScalar0 @ W1 ) )
     => ( aScalar0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( aScalar0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSumSc]) ).

thf(mMulSc,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aScalar0 @ W0 )
        & ( aScalar0 @ W1 ) )
     => ( aScalar0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mMulSc]) ).

thf(zip_derived_cl12_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mMulSc]) ).

thf(zip_derived_cl11_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( aScalar0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSumSc]) ).

thf(zip_derived_cl12_003,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mMulSc]) ).

thf(mLEMon,axiom,
    ! [W0: $i,W1: $i,W2: $i,W3: $i] :
      ( ( ( aScalar0 @ W0 )
        & ( aScalar0 @ W1 )
        & ( aScalar0 @ W2 )
        & ( aScalar0 @ W3 ) )
     => ( ( ( sdtlseqdt0 @ W0 @ W1 )
          & ( sdtlseqdt0 @ W2 @ W3 ) )
       => ( sdtlseqdt0 @ ( sdtpldt0 @ W0 @ W2 ) @ ( sdtpldt0 @ W1 @ W3 ) ) ) ) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( sdtlseqdt0 @ X0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X3 )
      | ( sdtlseqdt0 @ ( sdtpldt0 @ X0 @ X2 ) @ ( sdtpldt0 @ X1 @ X3 ) )
      | ~ ( sdtlseqdt0 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[mLEMon]) ).

thf(zip_derived_cl36_004,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( sdtlseqdt0 @ X0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X3 )
      | ( sdtlseqdt0 @ ( sdtpldt0 @ X0 @ X2 ) @ ( sdtpldt0 @ X1 @ X3 ) )
      | ~ ( sdtlseqdt0 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[mLEMon]) ).

thf(mArith,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aScalar0 @ W0 )
        & ( aScalar0 @ W1 )
        & ( aScalar0 @ W2 ) )
     => ( ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
          = ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) )
        & ( ( sdtpldt0 @ W0 @ W1 )
          = ( sdtpldt0 @ W1 @ W0 ) )
        & ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
          = ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) )
        & ( ( sdtasdt0 @ W0 @ W1 )
          = ( sdtasdt0 @ W1 @ W0 ) ) ) ) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
        = ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mArith]) ).

thf(zip_derived_cl22_005,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
        = ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mArith]) ).

thf(zip_derived_cl576,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( sdtpldt0 @ ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) ) @ X3 )
        = ( sdtpldt0 @ ( sdtpldt0 @ X2 @ X1 ) @ ( sdtpldt0 @ X0 @ X3 ) ) )
      | ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X2 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X3 )
      | ~ ( aScalar0 @ ( sdtpldt0 @ X2 @ X1 ) )
      | ~ ( aScalar0 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl22]) ).

thf(zip_derived_cl584,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( aScalar0 @ ( sdtpldt0 @ X2 @ X1 ) )
      | ~ ( aScalar0 @ X3 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ~ ( aScalar0 @ X0 )
      | ( ( sdtpldt0 @ ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) ) @ X3 )
        = ( sdtpldt0 @ ( sdtpldt0 @ X2 @ X1 ) @ ( sdtpldt0 @ X0 @ X3 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl576]) ).

thf(zip_derived_cl11_006,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( aScalar0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSumSc]) ).

thf(zip_derived_cl3226,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( sdtpldt0 @ ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) ) @ X3 )
        = ( sdtpldt0 @ ( sdtpldt0 @ X2 @ X1 ) @ ( sdtpldt0 @ X0 @ X3 ) ) )
      | ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X2 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl584,zip_derived_cl11]) ).

thf(zip_derived_cl22_007,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
        = ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mArith]) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ( ( sdtpldt0 @ X1 @ X0 )
        = ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mArith]) ).

thf(zip_derived_cl599,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtpldt0 @ X1 @ X0 )
        = ( sdtpldt0 @ X0 @ X1 ) )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl3226_008,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( sdtpldt0 @ ( sdtpldt0 @ X2 @ ( sdtpldt0 @ X1 @ X0 ) ) @ X3 )
        = ( sdtpldt0 @ ( sdtpldt0 @ X2 @ X1 ) @ ( sdtpldt0 @ X0 @ X3 ) ) )
      | ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X2 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl584,zip_derived_cl11]) ).

thf(zip_derived_cl3249,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ X2 @ X1 ) @ X0 ) @ X3 )
        = ( sdtpldt0 @ ( sdtpldt0 @ X0 @ X2 ) @ ( sdtpldt0 @ X1 @ X3 ) ) )
      | ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ ( sdtpldt0 @ X2 @ X1 ) )
      | ~ ( aScalar0 @ X3 )
      | ~ ( aScalar0 @ X2 )
      | ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl599,zip_derived_cl3226]) ).

thf(zip_derived_cl3274,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ~ ( aScalar0 @ X3 )
      | ~ ( aScalar0 @ ( sdtpldt0 @ X2 @ X1 ) )
      | ~ ( aScalar0 @ X0 )
      | ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ X2 @ X1 ) @ X0 ) @ X3 )
        = ( sdtpldt0 @ ( sdtpldt0 @ X0 @ X2 ) @ ( sdtpldt0 @ X1 @ X3 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3249]) ).

thf(zip_derived_cl11_009,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( aScalar0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSumSc]) ).

thf(zip_derived_cl293282,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ X2 @ X1 ) @ X0 ) @ X3 )
        = ( sdtpldt0 @ ( sdtpldt0 @ X0 @ X2 ) @ ( sdtpldt0 @ X1 @ X3 ) ) )
      | ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X3 )
      | ~ ( aScalar0 @ X2 )
      | ~ ( aScalar0 @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3274,zip_derived_cl11]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ( ( sdtasdt0 @ X1 @ X0 )
        = ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mArith]) ).

thf(zip_derived_cl652,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtasdt0 @ X1 @ X0 )
        = ( sdtasdt0 @ X0 @ X1 ) )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl25]) ).

thf(m__,conjecture,
    sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xR @ xS ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xR @ xS ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl98,plain,
    ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xR @ xS ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(m__1949,axiom,
    ( ( xN
      = ( sdtasdt0 @ xR @ xS ) )
    & ( aScalar0 @ xN ) ) ).

thf(zip_derived_cl91,plain,
    ( xN
    = ( sdtasdt0 @ xR @ xS ) ),
    inference(cnf,[status(esa)],[m__1949]) ).

thf(zip_derived_cl428,plain,
    ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ xN ) @ ( sdtpldt0 @ ( sdtasdt0 @ xS @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl91]) ).

thf(zip_derived_cl670,plain,
    ( ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ xN ) @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xS ) @ ( sdtasdt0 @ xS @ xS ) ) ) )
    | ~ ( aScalar0 @ xS )
    | ~ ( aScalar0 @ xR ) ),
    inference('sup-',[status(thm)],[zip_derived_cl652,zip_derived_cl428]) ).

thf(zip_derived_cl91_010,plain,
    ( xN
    = ( sdtasdt0 @ xR @ xS ) ),
    inference(cnf,[status(esa)],[m__1949]) ).

thf(m__1930,axiom,
    ( ( xS
      = ( sdtasdt0 @ xF @ xD ) )
    & ( aScalar0 @ xS ) ) ).

thf(zip_derived_cl90,plain,
    aScalar0 @ xS,
    inference(cnf,[status(esa)],[m__1930]) ).

thf(m__1892,axiom,
    ( ( xR
      = ( sdtasdt0 @ xC @ xG ) )
    & ( aScalar0 @ xR ) ) ).

thf(zip_derived_cl86,plain,
    aScalar0 @ xR,
    inference(cnf,[status(esa)],[m__1892]) ).

thf(zip_derived_cl712,plain,
    ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ xN ) @ ( sdtpldt0 @ xN @ ( sdtasdt0 @ xS @ xS ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl670,zip_derived_cl91,zip_derived_cl90,zip_derived_cl86]) ).

thf(zip_derived_cl293531,plain,
    ( ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ xN @ xN ) @ ( sdtasdt0 @ xR @ xR ) ) @ ( sdtasdt0 @ xS @ xS ) ) )
    | ~ ( aScalar0 @ xN )
    | ~ ( aScalar0 @ xN )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl293282,zip_derived_cl712]) ).

thf(zip_derived_cl92,plain,
    aScalar0 @ xN,
    inference(cnf,[status(esa)],[m__1949]) ).

thf(zip_derived_cl92_011,plain,
    aScalar0 @ xN,
    inference(cnf,[status(esa)],[m__1949]) ).

thf(zip_derived_cl295108,plain,
    ( ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ xN @ xN ) @ ( sdtasdt0 @ xR @ xR ) ) @ ( sdtasdt0 @ xS @ xS ) ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl293531,zip_derived_cl92,zip_derived_cl92]) ).

thf(zip_derived_cl295568,plain,
    ( ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ xN @ ( sdtasdt0 @ xR @ xR ) ) ) @ ( sdtasdt0 @ xS @ xS ) ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
    | ~ ( aScalar0 @ xN )
    | ~ ( aScalar0 @ xN )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl295108]) ).

thf(zip_derived_cl92_012,plain,
    aScalar0 @ xN,
    inference(cnf,[status(esa)],[m__1949]) ).

thf(zip_derived_cl92_013,plain,
    aScalar0 @ xN,
    inference(cnf,[status(esa)],[m__1949]) ).

thf(zip_derived_cl295611,plain,
    ( ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ xN @ ( sdtasdt0 @ xR @ xR ) ) ) @ ( sdtasdt0 @ xS @ xS ) ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl295568,zip_derived_cl92,zip_derived_cl92]) ).

thf(zip_derived_cl295612,plain,
    ( ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
    | ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ xN @ ( sdtpldt0 @ xN @ ( sdtasdt0 @ xR @ xR ) ) ) @ ( sdtasdt0 @ xS @ xS ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl295611]) ).

thf(zip_derived_cl295663,plain,
    ( ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ xN @ xN ) @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
    | ~ ( aScalar0 @ xN )
    | ~ ( aScalar0 @ xN )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3226,zip_derived_cl295612]) ).

thf(zip_derived_cl92_014,plain,
    aScalar0 @ xN,
    inference(cnf,[status(esa)],[m__1949]) ).

thf(zip_derived_cl92_015,plain,
    aScalar0 @ xN,
    inference(cnf,[status(esa)],[m__1949]) ).

thf(zip_derived_cl295705,plain,
    ( ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ xN @ xN ) @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl295663,zip_derived_cl92,zip_derived_cl92]) ).

thf(zip_derived_cl295706,plain,
    ( ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
    | ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) ) @ ( sdtpldt0 @ ( sdtpldt0 @ xN @ xN ) @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl295705]) ).

thf(zip_derived_cl298223,plain,
    ( ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
    | ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
    | ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) )
    | ~ ( aScalar0 @ ( sdtpldt0 @ xN @ xN ) )
    | ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) )
    | ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) @ ( sdtpldt0 @ xN @ xN ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl295706]) ).

thf(m__2104,axiom,
    sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ).

thf(zip_derived_cl95,plain,
    sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ),
    inference(cnf,[status(esa)],[m__2104]) ).

thf(zip_derived_cl298264,plain,
    ( ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) )
    | ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) )
    | ~ ( aScalar0 @ ( sdtpldt0 @ xN @ xN ) )
    | ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) )
    | ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) @ ( sdtpldt0 @ xN @ xN ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl298223,zip_derived_cl95]) ).

thf(zip_derived_cl298265,plain,
    ( ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
    | ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) @ ( sdtpldt0 @ xN @ xN ) )
    | ~ ( aScalar0 @ ( sdtpldt0 @ xN @ xN ) )
    | ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) )
    | ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xS @ xS ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl298264]) ).

thf(zip_derived_cl11_016,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( aScalar0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSumSc]) ).

thf(zip_derived_cl298313,plain,
    ( ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) )
    | ~ ( aScalar0 @ ( sdtpldt0 @ xN @ xN ) )
    | ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) @ ( sdtpldt0 @ xN @ xN ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl298265,zip_derived_cl11]) ).

thf(zip_derived_cl298320,plain,
    ( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xP @ xP ) @ xN )
    | ~ ( aScalar0 @ xN )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) )
    | ~ ( aScalar0 @ xN )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) )
    | ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xP @ xP ) @ xN )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
    | ~ ( aScalar0 @ ( sdtpldt0 @ xN @ xN ) )
    | ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl298313]) ).

thf(m__2004,axiom,
    sdtlseqdt0 @ ( sdtasdt0 @ xP @ xP ) @ xN ).

thf(zip_derived_cl94,plain,
    sdtlseqdt0 @ ( sdtasdt0 @ xP @ xP ) @ xN,
    inference(cnf,[status(esa)],[m__2004]) ).

thf(zip_derived_cl92_017,plain,
    aScalar0 @ xN,
    inference(cnf,[status(esa)],[m__1949]) ).

thf(zip_derived_cl92_018,plain,
    aScalar0 @ xN,
    inference(cnf,[status(esa)],[m__1949]) ).

thf(zip_derived_cl94_019,plain,
    sdtlseqdt0 @ ( sdtasdt0 @ xP @ xP ) @ xN,
    inference(cnf,[status(esa)],[m__2004]) ).

thf(zip_derived_cl298334,plain,
    ( ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
    | ~ ( aScalar0 @ ( sdtpldt0 @ xN @ xN ) )
    | ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl298320,zip_derived_cl94,zip_derived_cl92,zip_derived_cl92,zip_derived_cl94]) ).

thf(zip_derived_cl298335,plain,
    ( ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) )
    | ~ ( aScalar0 @ ( sdtpldt0 @ xN @ xN ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xS @ xS ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl298334]) ).

thf(zip_derived_cl298355,plain,
    ( ~ ( aScalar0 @ xS )
    | ~ ( aScalar0 @ xS )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
    | ~ ( aScalar0 @ ( sdtpldt0 @ xN @ xN ) )
    | ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl298335]) ).

thf(zip_derived_cl90_020,plain,
    aScalar0 @ xS,
    inference(cnf,[status(esa)],[m__1930]) ).

thf(zip_derived_cl90_021,plain,
    aScalar0 @ xS,
    inference(cnf,[status(esa)],[m__1930]) ).

thf(zip_derived_cl298360,plain,
    ( ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
    | ~ ( aScalar0 @ ( sdtpldt0 @ xN @ xN ) )
    | ~ ( aScalar0 @ ( sdtpldt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl298355,zip_derived_cl90,zip_derived_cl90]) ).

thf(zip_derived_cl301325,plain,
    ( ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) )
    | ~ ( aScalar0 @ ( sdtpldt0 @ xN @ xN ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl298360]) ).

thf(zip_derived_cl301336,plain,
    ( ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) )
    | ~ ( aScalar0 @ ( sdtpldt0 @ xN @ xN ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl301325]) ).

thf(zip_derived_cl301351,plain,
    ( ~ ( aScalar0 @ xP )
    | ~ ( aScalar0 @ xP )
    | ~ ( aScalar0 @ ( sdtpldt0 @ xN @ xN ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl301336]) ).

thf(m__1911,axiom,
    ( ( xP
      = ( sdtasdt0 @ xE @ xH ) )
    & ( aScalar0 @ xP ) ) ).

thf(zip_derived_cl88,plain,
    aScalar0 @ xP,
    inference(cnf,[status(esa)],[m__1911]) ).

thf(zip_derived_cl88_022,plain,
    aScalar0 @ xP,
    inference(cnf,[status(esa)],[m__1911]) ).

thf(zip_derived_cl301355,plain,
    ( ~ ( aScalar0 @ ( sdtpldt0 @ xN @ xN ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xR @ xR ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl301351,zip_derived_cl88,zip_derived_cl88]) ).

thf(zip_derived_cl301361,plain,
    ( ~ ( aScalar0 @ xR )
    | ~ ( aScalar0 @ xR )
    | ~ ( aScalar0 @ ( sdtpldt0 @ xN @ xN ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl301355]) ).

thf(zip_derived_cl86_023,plain,
    aScalar0 @ xR,
    inference(cnf,[status(esa)],[m__1892]) ).

thf(zip_derived_cl86_024,plain,
    aScalar0 @ xR,
    inference(cnf,[status(esa)],[m__1892]) ).

thf(zip_derived_cl301365,plain,
    ~ ( aScalar0 @ ( sdtpldt0 @ xN @ xN ) ),
    inference(demod,[status(thm)],[zip_derived_cl301361,zip_derived_cl86,zip_derived_cl86]) ).

thf(zip_derived_cl301371,plain,
    ( ~ ( aScalar0 @ xN )
    | ~ ( aScalar0 @ xN ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl301365]) ).

thf(zip_derived_cl92_025,plain,
    aScalar0 @ xN,
    inference(cnf,[status(esa)],[m__1949]) ).

thf(zip_derived_cl92_026,plain,
    aScalar0 @ xN,
    inference(cnf,[status(esa)],[m__1949]) ).

thf(zip_derived_cl301374,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl301371,zip_derived_cl92,zip_derived_cl92]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : RNG068+2 : 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.Bd3jBLHKrr true
% 0.12/0.34  % Computer : n029.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 02:23:55 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
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.19/0.64  % Total configuration time : 435
% 0.19/0.64  % Estimated wc time : 1092
% 0.19/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 296.44/42.95  % Solved by fo/fo3_bce.sh.
% 296.44/42.95  % BCE start: 99
% 296.44/42.95  % BCE eliminated: 0
% 296.44/42.95  % PE start: 99
% 296.44/42.95  logic: eq
% 296.44/42.95  % PE eliminated: 1
% 296.44/42.95  % done 9503 iterations in 42.213s
% 296.44/42.95  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 296.44/42.95  % SZS output start Refutation
% See solution above
% 296.44/42.95  
% 296.44/42.95  
% 296.44/42.95  % Terminating...
% 296.44/43.05  % Runner terminated.
% 296.44/43.06  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------