TSTP Solution File: RNG114+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG114+4 : 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.0xD8I66pc4 true

% Computer : n022.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 14:07:00 EDT 2023

% Result   : Theorem 2.68s 0.98s
% Output   : Refutation 2.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   42 (  11 unt;  19 typ;   0 def)
%            Number of atoms       :   64 (  20 equ;   0 cnn)
%            Maximal formula atoms :   18 (   2 avg)
%            Number of connectives :  211 (  19   ~;  11   |;  23   &; 151   @)
%                                         (   3 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  19 usr;   8 con; 0-2 aty)
%            Number of variables   :   27 (   0   ^;  15   !;  12   ?;  27   :)

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(sk__37_type,type,
    sk__37: $i ).

thf(sk__25_type,type,
    sk__25: $i > $i ).

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

thf(sk__26_type,type,
    sk__26: $i > $i ).

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

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

thf(m__2174,axiom,
    ( ( xI
      = ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xI )
      <=> ? [W1: $i,W2: $i] :
            ( ( ( sdtpldt0 @ W1 @ W2 )
              = W0 )
            & ( aElementOf0 @ W2 @ ( slsdtgt0 @ xb ) )
            & ( aElementOf0 @ W1 @ ( slsdtgt0 @ xa ) ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( slsdtgt0 @ xb ) )
      <=> ? [W1: $i] :
            ( ( ( sdtasdt0 @ xb @ W1 )
              = W0 )
            & ( aElement0 @ W1 ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( slsdtgt0 @ xa ) )
      <=> ? [W1: $i] :
            ( ( ( sdtasdt0 @ xa @ W1 )
              = W0 )
            & ( aElement0 @ W1 ) ) )
    & ( 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_cl127,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ xb @ ( sk__25 @ X0 ) )
        = X0 )
      | ~ ( aElementOf0 @ X0 @ ( slsdtgt0 @ xb ) ) ),
    inference(cnf,[status(esa)],[m__2174]) ).

thf(m__2273,axiom,
    ( ! [W0: $i] :
        ( ( ( ? [W1: $i,W2: $i] :
                ( ( ( sdtpldt0 @ W1 @ W2 )
                  = W0 )
                & ( aElementOf0 @ W2 @ ( slsdtgt0 @ xb ) )
                & ( aElementOf0 @ W1 @ ( slsdtgt0 @ xa ) ) )
            | ( aElementOf0 @ W0 @ xI ) )
          & ( W0 != sz00 ) )
       => ~ ( iLess0 @ ( sbrdtbr0 @ W0 ) @ ( sbrdtbr0 @ xu ) ) )
    & ( xu != sz00 )
    & ( aElementOf0 @ xu @ xI )
    & ? [W0: $i,W1: $i] :
        ( ( ( sdtpldt0 @ W0 @ W1 )
          = xu )
        & ( aElementOf0 @ W1 @ ( slsdtgt0 @ xb ) )
        & ( aElementOf0 @ W0 @ ( slsdtgt0 @ xa ) ) ) ) ).

thf(zip_derived_cl158,plain,
    aElementOf0 @ sk__37 @ ( slsdtgt0 @ xb ),
    inference(cnf,[status(esa)],[m__2273]) ).

thf(zip_derived_cl1538,plain,
    ( ( sdtasdt0 @ xb @ ( sk__25 @ sk__37 ) )
    = sk__37 ),
    inference('sup+',[status(thm)],[zip_derived_cl127,zip_derived_cl158]) ).

thf(zip_derived_cl124,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ xa @ ( sk__26 @ X0 ) )
        = X0 )
      | ~ ( aElementOf0 @ X0 @ ( slsdtgt0 @ xa ) ) ),
    inference(cnf,[status(esa)],[m__2174]) ).

thf(zip_derived_cl157,plain,
    aElementOf0 @ sk__36 @ ( slsdtgt0 @ xa ),
    inference(cnf,[status(esa)],[m__2273]) ).

thf(zip_derived_cl1530,plain,
    ( ( sdtasdt0 @ xa @ ( sk__26 @ sk__36 ) )
    = sk__36 ),
    inference('sup+',[status(thm)],[zip_derived_cl124,zip_derived_cl157]) ).

thf(m__,conjecture,
    ? [W0: $i,W1: $i] :
      ( ( xu
        = ( sdtpldt0 @ ( sdtasdt0 @ xa @ W0 ) @ ( sdtasdt0 @ xb @ W1 ) ) )
      & ( aElement0 @ W1 )
      & ( aElement0 @ W0 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [W0: $i,W1: $i] :
        ( ( xu
          = ( sdtpldt0 @ ( sdtasdt0 @ xa @ W0 ) @ ( sdtasdt0 @ xb @ W1 ) ) )
        & ( aElement0 @ W1 )
        & ( aElement0 @ W0 ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl171,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( xu
       != ( sdtpldt0 @ ( sdtasdt0 @ xa @ X0 ) @ ( sdtasdt0 @ xb @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3174,plain,
    ! [X0: $i] :
      ( ( xu
       != ( sdtpldt0 @ sk__36 @ ( sdtasdt0 @ xb @ X0 ) ) )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ ( sk__26 @ sk__36 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl171]) ).

thf(zip_derived_cl157_001,plain,
    aElementOf0 @ sk__36 @ ( slsdtgt0 @ xa ),
    inference(cnf,[status(esa)],[m__2273]) ).

thf(zip_derived_cl125,plain,
    ! [X0: $i] :
      ( ( aElement0 @ ( sk__26 @ X0 ) )
      | ~ ( aElementOf0 @ X0 @ ( slsdtgt0 @ xa ) ) ),
    inference(cnf,[status(esa)],[m__2174]) ).

thf(zip_derived_cl1198,plain,
    aElement0 @ ( sk__26 @ sk__36 ),
    inference('sup-',[status(thm)],[zip_derived_cl157,zip_derived_cl125]) ).

thf(zip_derived_cl3191,plain,
    ! [X0: $i] :
      ( ( xu
       != ( sdtpldt0 @ sk__36 @ ( sdtasdt0 @ xb @ X0 ) ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3174,zip_derived_cl1198]) ).

thf(zip_derived_cl3629,plain,
    ( ( xu
     != ( sdtpldt0 @ sk__36 @ sk__37 ) )
    | ~ ( aElement0 @ ( sk__25 @ sk__37 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1538,zip_derived_cl3191]) ).

thf(zip_derived_cl159,plain,
    ( ( sdtpldt0 @ sk__36 @ sk__37 )
    = xu ),
    inference(cnf,[status(esa)],[m__2273]) ).

thf(zip_derived_cl158_002,plain,
    aElementOf0 @ sk__37 @ ( slsdtgt0 @ xb ),
    inference(cnf,[status(esa)],[m__2273]) ).

thf(zip_derived_cl128,plain,
    ! [X0: $i] :
      ( ( aElement0 @ ( sk__25 @ X0 ) )
      | ~ ( aElementOf0 @ X0 @ ( slsdtgt0 @ xb ) ) ),
    inference(cnf,[status(esa)],[m__2174]) ).

thf(zip_derived_cl1204,plain,
    aElement0 @ ( sk__25 @ sk__37 ),
    inference('sup-',[status(thm)],[zip_derived_cl158,zip_derived_cl128]) ).

thf(zip_derived_cl3644,plain,
    xu != xu,
    inference(demod,[status(thm)],[zip_derived_cl3629,zip_derived_cl159,zip_derived_cl1204]) ).

thf(zip_derived_cl3645,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl3644]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : RNG114+4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0xD8I66pc4 true
% 0.15/0.36  % Computer : n022.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Sun Aug 27 02:24:24 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.37  % Running in FO mode
% 0.23/0.58  % Total configuration time : 435
% 0.23/0.58  % Estimated wc time : 1092
% 0.23/0.58  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.64  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.67  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.70  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.70  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.70  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.70  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.70  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 2.68/0.98  % Solved by fo/fo3_bce.sh.
% 2.68/0.98  % BCE start: 172
% 2.68/0.98  % BCE eliminated: 1
% 2.68/0.98  % PE start: 171
% 2.68/0.98  logic: eq
% 2.68/0.98  % PE eliminated: -10
% 2.68/0.98  % done 619 iterations in 0.289s
% 2.68/0.98  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.68/0.98  % SZS output start Refutation
% See solution above
% 2.68/0.98  
% 2.68/0.98  
% 2.68/0.98  % Terminating...
% 3.33/1.09  % Runner terminated.
% 3.33/1.10  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------