TSTP Solution File: RNG122+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG122+1 : 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.z0UwyVEDhz true

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 14:07:03 EDT 2023

% Result   : Theorem 1.30s 1.10s
% Output   : Refutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   69 (  20 unt;  18 typ;   0 def)
%            Number of atoms       :  116 (  34 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  356 (  48   ~;  37   |;  15   &; 243   @)
%                                         (   1 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  18 usr;   8 con; 0-2 aty)
%            Number of variables   :   38 (   0   ^;  38   !;   0   ?;  38   :)

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

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

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

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

thf(xq_type,type,
    xq: $i ).

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

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

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

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

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

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

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

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

thf(xr_type,type,
    xr: $i ).

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

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

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

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

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(mSortsB_02,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 ) )
     => ( aElement0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( aElement0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB_02]) ).

thf(mMulComm,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 ) )
     => ( ( sdtasdt0 @ W0 @ W1 )
        = ( sdtasdt0 @ W1 @ W0 ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( ( sdtasdt0 @ X0 @ X1 )
        = ( sdtasdt0 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mMulComm]) ).

thf(m__2666,axiom,
    ( ( ( iLess0 @ ( sbrdtbr0 @ xr ) @ ( sbrdtbr0 @ xu ) )
      | ( xr = sz00 ) )
    & ( xb
      = ( sdtpldt0 @ ( sdtasdt0 @ xq @ xu ) @ xr ) )
    & ( aElement0 @ xr )
    & ( aElement0 @ xq ) ) ).

thf(zip_derived_cl116,plain,
    ( xb
    = ( sdtpldt0 @ ( sdtasdt0 @ xq @ xu ) @ xr ) ),
    inference(cnf,[status(esa)],[m__2666]) ).

thf(zip_derived_cl986,plain,
    ( ( xb
      = ( sdtpldt0 @ ( sdtasdt0 @ xu @ xq ) @ xr ) )
    | ~ ( aElement0 @ xq )
    | ~ ( aElement0 @ xu ) ),
    inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl116]) ).

thf(zip_derived_cl118,plain,
    aElement0 @ xq,
    inference(cnf,[status(esa)],[m__2666]) ).

thf(m__2273,axiom,
    ( ! [W0: $i] :
        ( ( ( aElementOf0 @ W0 @ xI )
          & ( W0 != sz00 ) )
       => ~ ( iLess0 @ ( sbrdtbr0 @ W0 ) @ ( sbrdtbr0 @ xu ) ) )
    & ( xu != sz00 )
    & ( aElementOf0 @ xu @ xI ) ) ).

thf(zip_derived_cl106,plain,
    aElementOf0 @ xu @ xI,
    inference(cnf,[status(esa)],[m__2273]) ).

thf(mEOfElem,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ! [W1: $i] :
          ( ( aElementOf0 @ W1 @ W0 )
         => ( aElement0 @ W1 ) ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mEOfElem]) ).

thf(zip_derived_cl777,plain,
    ( ~ ( aSet0 @ xI )
    | ( aElement0 @ xu ) ),
    inference('sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl25]) ).

thf(m__2174,axiom,
    ( ( xI
      = ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) )
    & ( aIdeal0 @ xI ) ) ).

thf(zip_derived_cl99,plain,
    aIdeal0 @ xI,
    inference(cnf,[status(esa)],[m__2174]) ).

thf(mDefIdeal,axiom,
    ! [W0: $i] :
      ( ( aIdeal0 @ W0 )
    <=> ( ( aSet0 @ W0 )
        & ! [W1: $i] :
            ( ( aElementOf0 @ W1 @ W0 )
           => ( ! [W2: $i] :
                  ( ( aElementOf0 @ W2 @ W0 )
                 => ( aElementOf0 @ ( sdtpldt0 @ W1 @ W2 ) @ W0 ) )
              & ! [W2: $i] :
                  ( ( aElement0 @ W2 )
                 => ( aElementOf0 @ ( sdtasdt0 @ W2 @ W1 ) @ W0 ) ) ) ) ) ) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i] :
      ( ( aSet0 @ X0 )
      | ~ ( aIdeal0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefIdeal]) ).

thf(zip_derived_cl772,plain,
    aSet0 @ xI,
    inference('sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl47]) ).

thf(zip_derived_cl779,plain,
    aElement0 @ xu,
    inference(demod,[status(thm)],[zip_derived_cl777,zip_derived_cl772]) ).

thf(zip_derived_cl1030,plain,
    ( xb
    = ( sdtpldt0 @ ( sdtasdt0 @ xu @ xq ) @ xr ) ),
    inference(demod,[status(thm)],[zip_derived_cl986,zip_derived_cl118,zip_derived_cl779]) ).

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_cl929,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtpldt0 @ sz00 @ X0 )
        = ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) ) )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ ( smndt0 @ X1 ) )
      | ~ ( aElement0 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl7]) ).

thf(zip_derived_cl943,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ ( smndt0 @ X1 ) )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( ( sdtpldt0 @ sz00 @ X0 )
        = ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl929]) ).

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(zip_derived_cl3037,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtpldt0 @ sz00 @ X0 )
        = ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) ) )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl943,zip_derived_cl3]) ).

thf(zip_derived_cl3073,plain,
    ( ( ( sdtpldt0 @ sz00 @ xr )
      = ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xu @ xq ) ) @ xb ) )
    | ~ ( aElement0 @ xr )
    | ~ ( aElement0 @ ( sdtasdt0 @ xu @ xq ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1030,zip_derived_cl3037]) ).

thf(zip_derived_cl117,plain,
    aElement0 @ xr,
    inference(cnf,[status(esa)],[m__2666]) ).

thf(zip_derived_cl3112,plain,
    ( ( ( sdtpldt0 @ sz00 @ xr )
      = ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xu @ xq ) ) @ xb ) )
    | ~ ( aElement0 @ ( sdtasdt0 @ xu @ xq ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3073,zip_derived_cl117]) ).

thf(zip_derived_cl12_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( ( sdtasdt0 @ X0 @ X1 )
        = ( sdtasdt0 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mMulComm]) ).

thf(m__,conjecture,
    ( xr
    = ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xb ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( xr
   != ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xb ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl122,plain,
    ( xr
   != ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xb ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl988,plain,
    ( ( xr
     != ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xu @ xq ) ) @ xb ) )
    | ~ ( aElement0 @ xq )
    | ~ ( aElement0 @ xu ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl122]) ).

thf(zip_derived_cl118_002,plain,
    aElement0 @ xq,
    inference(cnf,[status(esa)],[m__2666]) ).

thf(zip_derived_cl779_003,plain,
    aElement0 @ xu,
    inference(demod,[status(thm)],[zip_derived_cl777,zip_derived_cl772]) ).

thf(zip_derived_cl1032,plain,
    ( xr
   != ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xu @ xq ) ) @ xb ) ),
    inference(demod,[status(thm)],[zip_derived_cl988,zip_derived_cl118,zip_derived_cl779]) ).

thf(zip_derived_cl3136,plain,
    ( ( xr
     != ( sdtpldt0 @ sz00 @ xr ) )
    | ~ ( aElement0 @ ( sdtasdt0 @ xu @ xq ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3112,zip_derived_cl1032]) ).

thf(zip_derived_cl3150,plain,
    ( ~ ( aElement0 @ xq )
    | ~ ( aElement0 @ xu )
    | ( xr
     != ( sdtpldt0 @ sz00 @ xr ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl3136]) ).

thf(zip_derived_cl118_004,plain,
    aElement0 @ xq,
    inference(cnf,[status(esa)],[m__2666]) ).

thf(zip_derived_cl779_005,plain,
    aElement0 @ xu,
    inference(demod,[status(thm)],[zip_derived_cl777,zip_derived_cl772]) ).

thf(zip_derived_cl3151,plain,
    ( xr
   != ( sdtpldt0 @ sz00 @ xr ) ),
    inference(demod,[status(thm)],[zip_derived_cl3150,zip_derived_cl118,zip_derived_cl779]) ).

thf(zip_derived_cl3153,plain,
    ( ( xr != xr )
    | ~ ( aElement0 @ xr ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl3151]) ).

thf(zip_derived_cl117_006,plain,
    aElement0 @ xr,
    inference(cnf,[status(esa)],[m__2666]) ).

thf(zip_derived_cl3154,plain,
    xr != xr,
    inference(demod,[status(thm)],[zip_derived_cl3153,zip_derived_cl117]) ).

thf(zip_derived_cl3155,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl3154]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : RNG122+1 : 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.z0UwyVEDhz true
% 0.13/0.34  % Computer : n002.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun Aug 27 03:22:18 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % 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
% 0.82/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.82/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.82/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.82/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.27/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.27/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.27/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.30/1.10  % Solved by fo/fo3_bce.sh.
% 1.30/1.10  % BCE start: 123
% 1.30/1.10  % BCE eliminated: 1
% 1.30/1.10  % PE start: 122
% 1.30/1.10  logic: eq
% 1.30/1.10  % PE eliminated: 7
% 1.30/1.10  % done 388 iterations in 0.353s
% 1.30/1.10  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.30/1.10  % SZS output start Refutation
% See solution above
% 1.30/1.10  
% 1.30/1.10  
% 1.30/1.10  % Terminating...
% 1.79/1.16  % Runner terminated.
% 1.79/1.16  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------