TSTP Solution File: RNG112+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG112+1 : 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.n9TyvOk01H true

% Computer : n016.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 14:06:59 EDT 2023

% Result   : Theorem 0.20s 0.78s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   40 (   5 unt;  13 typ;   0 def)
%            Number of atoms       :   95 (  41 equ;   0 cnn)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  272 (  53   ~;  46   |;  12   &; 151   @)
%                                         (   0 <=>;   4  =>;   6  <=;   0 <~>)
%            Maximal formula depth :   11 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   7 con; 0-2 aty)
%            Number of variables   :   29 (   0   ^;  25   !;   4   ?;  29   :)

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

thf(sk__22_type,type,
    sk__22: $i > $i ).

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

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

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

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

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

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

thf(sk__21_type,type,
    sk__21: $i ).

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

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

thf(sk__20_type,type,
    sk__20: $i ).

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

thf(m__2351,axiom,
    ! [W0: $i] :
      ( ( ( aElementOf0 @ W0 @ xI )
        & ( W0 != sz00 ) )
     => ? [W1: $i] :
          ( ! [W2: $i] :
              ( ( ( aElementOf0 @ W2 @ xI )
                & ( W2 != sz00 ) )
             => ~ ( iLess0 @ ( sbrdtbr0 @ W2 ) @ ( sbrdtbr0 @ W1 ) ) )
          & ( W1 != sz00 )
          & ( aElementOf0 @ W1 @ xI ) ) ) ).

thf(zip_derived_cl106,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ xI )
      | ( X0 = sz00 )
      | ~ ( iLess0 @ ( sbrdtbr0 @ X0 ) @ ( sbrdtbr0 @ sk__21 ) )
      | ~ ( aElementOf0 @ X1 @ xI )
      | ( X1 = sz00 ) ),
    inference(cnf,[status(esa)],[m__2351]) ).

thf('0',plain,
    ( ! [X0: $i] :
        ( ( X0 = sz00 )
        | ~ ( aElementOf0 @ X0 @ xI )
        | ~ ( iLess0 @ ( sbrdtbr0 @ X0 ) @ ( sbrdtbr0 @ sk__21 ) ) )
    | ! [X1: $i] :
        ( ( X1 = sz00 )
        | ~ ( aElementOf0 @ X1 @ xI ) ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl108,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ sk__21 @ xI )
      | ~ ( aElementOf0 @ X0 @ xI )
      | ( X0 = sz00 ) ),
    inference(cnf,[status(esa)],[m__2351]) ).

thf('1',plain,
    ( ( aElementOf0 @ sk__21 @ xI )
    | ! [X1: $i] :
        ( ( X1 = sz00 )
        | ~ ( aElementOf0 @ X1 @ xI ) ) ),
    inference(split,[status(esa)],[zip_derived_cl108]) ).

thf(m__2228,axiom,
    ? [W0: $i] :
      ( ( W0 != sz00 )
      & ( aElementOf0 @ W0 @ ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) ) ) ).

thf(zip_derived_cl104,plain,
    aElementOf0 @ sk__20 @ ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ),
    inference(cnf,[status(esa)],[m__2228]) ).

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

thf(zip_derived_cl98,plain,
    ( xI
    = ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) ),
    inference(cnf,[status(esa)],[m__2174]) ).

thf(zip_derived_cl501,plain,
    aElementOf0 @ sk__20 @ xI,
    inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl98]) ).

thf(zip_derived_cl114,plain,
    ( ! [X1: $i] :
        ( ( X1 = sz00 )
        | ~ ( aElementOf0 @ X1 @ xI ) )
   <= ! [X1: $i] :
        ( ( X1 = sz00 )
        | ~ ( aElementOf0 @ X1 @ xI ) ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl504,plain,
    ( ( sk__20 = sz00 )
   <= ! [X1: $i] :
        ( ( X1 = sz00 )
        | ~ ( aElementOf0 @ X1 @ xI ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl501,zip_derived_cl114]) ).

thf(zip_derived_cl105,plain,
    sk__20 != sz00,
    inference(cnf,[status(esa)],[m__2228]) ).

thf('2',plain,
    ~ ! [X1: $i] :
        ( ( X1 = sz00 )
        | ~ ( aElementOf0 @ X1 @ xI ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl504,zip_derived_cl105]) ).

thf(zip_derived_cl107,plain,
    ! [X0: $i] :
      ( ( sk__21 != sz00 )
      | ~ ( aElementOf0 @ X0 @ xI )
      | ( X0 = sz00 ) ),
    inference(cnf,[status(esa)],[m__2351]) ).

thf('3',plain,
    ( ( sk__21 != sz00 )
    | ! [X1: $i] :
        ( ( X1 = sz00 )
        | ~ ( aElementOf0 @ X1 @ xI ) ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(m__,conjecture,
    ? [W0: $i] :
      ( ! [W1: $i] :
          ( ( ( aElementOf0 @ W1 @ xI )
            & ( W1 != sz00 ) )
         => ~ ( iLess0 @ ( sbrdtbr0 @ W1 ) @ ( sbrdtbr0 @ W0 ) ) )
      & ( W0 != sz00 )
      & ( aElementOf0 @ W0 @ xI ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [W0: $i] :
        ( ! [W1: $i] :
            ( ( ( aElementOf0 @ W1 @ xI )
              & ( W1 != sz00 ) )
           => ~ ( iLess0 @ ( sbrdtbr0 @ W1 ) @ ( sbrdtbr0 @ W0 ) ) )
        & ( W0 != sz00 )
        & ( aElementOf0 @ W0 @ xI ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl109,plain,
    ! [X0: $i] :
      ( ( iLess0 @ ( sbrdtbr0 @ ( sk__22 @ X0 ) ) @ ( sbrdtbr0 @ X0 ) )
      | ( X0 = sz00 )
      | ~ ( aElementOf0 @ X0 @ xI ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl115,plain,
    ( ! [X0: $i] :
        ( ( X0 = sz00 )
        | ~ ( aElementOf0 @ X0 @ xI )
        | ~ ( iLess0 @ ( sbrdtbr0 @ X0 ) @ ( sbrdtbr0 @ sk__21 ) ) )
   <= ! [X0: $i] :
        ( ( X0 = sz00 )
        | ~ ( aElementOf0 @ X0 @ xI )
        | ~ ( iLess0 @ ( sbrdtbr0 @ X0 ) @ ( sbrdtbr0 @ sk__21 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl250,plain,
    ( ( ~ ( aElementOf0 @ sk__21 @ xI )
      | ( sk__21 = sz00 )
      | ( ( sk__22 @ sk__21 )
        = sz00 )
      | ~ ( aElementOf0 @ ( sk__22 @ sk__21 ) @ xI ) )
   <= ! [X0: $i] :
        ( ( X0 = sz00 )
        | ~ ( aElementOf0 @ X0 @ xI )
        | ~ ( iLess0 @ ( sbrdtbr0 @ X0 ) @ ( sbrdtbr0 @ sk__21 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl115]) ).

thf(zip_derived_cl110,plain,
    ! [X0: $i] :
      ( ( ( sk__22 @ X0 )
       != sz00 )
      | ( X0 = sz00 )
      | ~ ( aElementOf0 @ X0 @ xI ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl252,plain,
    ( ( ~ ( aElementOf0 @ ( sk__22 @ sk__21 ) @ xI )
      | ( sk__21 = sz00 )
      | ~ ( aElementOf0 @ sk__21 @ xI ) )
   <= ! [X0: $i] :
        ( ( X0 = sz00 )
        | ~ ( aElementOf0 @ X0 @ xI )
        | ~ ( iLess0 @ ( sbrdtbr0 @ X0 ) @ ( sbrdtbr0 @ sk__21 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl250,zip_derived_cl110]) ).

thf(zip_derived_cl111,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ ( sk__22 @ X0 ) @ xI )
      | ( X0 = sz00 )
      | ~ ( aElementOf0 @ X0 @ xI ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl253,plain,
    ( ( ~ ( aElementOf0 @ sk__21 @ xI )
      | ( sk__21 = sz00 ) )
   <= ! [X0: $i] :
        ( ( X0 = sz00 )
        | ~ ( aElementOf0 @ X0 @ xI )
        | ~ ( iLess0 @ ( sbrdtbr0 @ X0 ) @ ( sbrdtbr0 @ sk__21 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl252,zip_derived_cl111]) ).

thf('4',plain,
    ( ( sk__21 = sz00 )
    | ~ ( aElementOf0 @ sk__21 @ xI )
    | ~ ! [X0: $i] :
          ( ( X0 = sz00 )
          | ~ ( aElementOf0 @ X0 @ xI )
          | ~ ( iLess0 @ ( sbrdtbr0 @ X0 ) @ ( sbrdtbr0 @ sk__21 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl253]) ).

thf(zip_derived_cl507,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : RNG112+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.n9TyvOk01H true
% 0.15/0.34  % Computer : n016.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.34  % DateTime : Sun Aug 27 02:25:43 EDT 2023
% 0.15/0.34  % CPUTime  : 
% 0.15/0.34  % Running portfolio for 300 s
% 0.15/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.34  % Number of cores: 8
% 0.15/0.34  % Python version: Python 3.6.8
% 0.15/0.35  % Running in FO mode
% 0.20/0.62  % Total configuration time : 435
% 0.20/0.62  % Estimated wc time : 1092
% 0.20/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.66  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.70  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.20/0.78  % Solved by fo/fo1_av.sh.
% 0.20/0.78  % done 122 iterations in 0.070s
% 0.20/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.78  % SZS output start Refutation
% See solution above
% 0.20/0.78  
% 0.20/0.78  
% 0.20/0.79  % Terminating...
% 0.20/0.86  % Runner terminated.
% 1.53/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------