TSTP Solution File: RNG102+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG102+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.LfG6oWEdnH true

% Computer : n026.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 14:06:54 EDT 2023

% Result   : Theorem 38.28s 6.12s
% Output   : Refutation 38.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   30 (   8 unt;  10 typ;   0 def)
%            Number of atoms       :   46 (  17 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  130 (  24   ~;  17   |;   6   &;  80   @)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :   15 (   0   ^;  12   !;   3   ?;  15   :)

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

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

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

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

thf(xz_type,type,
    xz: $i ).

thf(xc_type,type,
    xc: $i ).

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

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

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

thf(sk__19_type,type,
    sk__19: $i > $i > $i ).

thf(m__1933,axiom,
    ( ( aElement0 @ xz )
    & ( aElementOf0 @ xy @ ( slsdtgt0 @ xc ) )
    & ( aElementOf0 @ xx @ ( slsdtgt0 @ xc ) ) ) ).

thf(zip_derived_cl95,plain,
    aElementOf0 @ xy @ ( slsdtgt0 @ xc ),
    inference(cnf,[status(esa)],[m__1933]) ).

thf(mDefPrIdeal,axiom,
    ! [W0: $i] :
      ( ( aElement0 @ W0 )
     => ! [W1: $i] :
          ( ( W1
            = ( slsdtgt0 @ W0 ) )
        <=> ( ( aSet0 @ W1 )
            & ! [W2: $i] :
                ( ( aElementOf0 @ W2 @ W1 )
              <=> ? [W3: $i] :
                    ( ( ( sdtasdt0 @ W0 @ W3 )
                      = W2 )
                    & ( aElement0 @ W3 ) ) ) ) ) ) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1
       != ( slsdtgt0 @ X0 ) )
      | ( aElement0 @ ( sk__19 @ X2 @ X0 ) )
      | ~ ( aElementOf0 @ X2 @ X1 )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefPrIdeal]) ).

thf(zip_derived_cl852,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( aElement0 @ ( sk__19 @ xy @ X0 ) )
      | ( ( slsdtgt0 @ xc )
       != ( slsdtgt0 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl91]) ).

thf(zip_derived_cl95_001,plain,
    aElementOf0 @ xy @ ( slsdtgt0 @ xc ),
    inference(cnf,[status(esa)],[m__1933]) ).

thf(zip_derived_cl90,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1
       != ( slsdtgt0 @ X0 ) )
      | ( ( sdtasdt0 @ X0 @ ( sk__19 @ X2 @ X0 ) )
        = X2 )
      | ~ ( aElementOf0 @ X2 @ X1 )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefPrIdeal]) ).

thf(zip_derived_cl2275,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( ( sdtasdt0 @ X0 @ ( sk__19 @ xy @ X0 ) )
        = xy )
      | ( ( slsdtgt0 @ xc )
       != ( slsdtgt0 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl90]) ).

thf(m__,conjecture,
    ? [W0: $i] :
      ( ( ( sdtasdt0 @ xc @ W0 )
        = xy )
      & ( aElement0 @ W0 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [W0: $i] :
        ( ( ( sdtasdt0 @ xc @ W0 )
          = xy )
        & ( aElement0 @ W0 ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl99,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ xc @ X0 )
       != xy )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl53011,plain,
    ( ( xy != xy )
    | ( ( slsdtgt0 @ xc )
     != ( slsdtgt0 @ xc ) )
    | ~ ( aElement0 @ xc )
    | ~ ( aElement0 @ ( sk__19 @ xy @ xc ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2275,zip_derived_cl99]) ).

thf(m__1905,axiom,
    aElement0 @ xc ).

thf(zip_derived_cl93,plain,
    aElement0 @ xc,
    inference(cnf,[status(esa)],[m__1905]) ).

thf(zip_derived_cl53269,plain,
    ( ( xy != xy )
    | ( ( slsdtgt0 @ xc )
     != ( slsdtgt0 @ xc ) )
    | ~ ( aElement0 @ ( sk__19 @ xy @ xc ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl53011,zip_derived_cl93]) ).

thf(zip_derived_cl53270,plain,
    ~ ( aElement0 @ ( sk__19 @ xy @ xc ) ),
    inference(simplify,[status(thm)],[zip_derived_cl53269]) ).

thf(zip_derived_cl53386,plain,
    ( ( ( slsdtgt0 @ xc )
     != ( slsdtgt0 @ xc ) )
    | ~ ( aElement0 @ xc ) ),
    inference('sup-',[status(thm)],[zip_derived_cl852,zip_derived_cl53270]) ).

thf(zip_derived_cl93_002,plain,
    aElement0 @ xc,
    inference(cnf,[status(esa)],[m__1905]) ).

thf(zip_derived_cl53387,plain,
    ( ( slsdtgt0 @ xc )
   != ( slsdtgt0 @ xc ) ),
    inference(demod,[status(thm)],[zip_derived_cl53386,zip_derived_cl93]) ).

thf(zip_derived_cl53388,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl53387]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : RNG102+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LfG6oWEdnH true
% 0.14/0.35  % Computer : n026.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sun Aug 27 02:28:19 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 38.28/6.12  % Solved by fo/fo3_bce.sh.
% 38.28/6.12  % BCE start: 100
% 38.28/6.12  % BCE eliminated: 2
% 38.28/6.12  % PE start: 98
% 38.28/6.12  logic: eq
% 38.28/6.12  % PE eliminated: 8
% 38.28/6.12  % done 4484 iterations in 5.334s
% 38.28/6.12  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 38.28/6.12  % SZS output start Refutation
% See solution above
% 38.28/6.12  
% 38.28/6.12  
% 38.28/6.12  % Terminating...
% 38.79/6.17  % Runner terminated.
% 38.79/6.19  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------