TSTP Solution File: RNG121+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG121+4 : 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.5cyFHNaB8Y true

% Computer : n008.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 1.05s 0.81s
% Output   : Refutation 1.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   24 (   6 unt;   9 typ;   0 def)
%            Number of atoms       :   46 (  16 equ;   0 cnn)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  135 (  11   ~;   9   |;  21   &;  93   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   17 (   0   ^;   5   !;  12   ?;  17   :)

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

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

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

thf(xb_type,type,
    xb: $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(m__2203,axiom,
    ( ( aElementOf0 @ xb @ ( slsdtgt0 @ xb ) )
    & ? [W0: $i] :
        ( ( ( sdtasdt0 @ xb @ W0 )
          = xb )
        & ( aElement0 @ W0 ) )
    & ( aElementOf0 @ sz00 @ ( slsdtgt0 @ xb ) )
    & ? [W0: $i] :
        ( ( ( sdtasdt0 @ xb @ W0 )
          = sz00 )
        & ( aElement0 @ W0 ) )
    & ( aElementOf0 @ xa @ ( slsdtgt0 @ xa ) )
    & ? [W0: $i] :
        ( ( ( sdtasdt0 @ xa @ W0 )
          = xa )
        & ( aElement0 @ W0 ) )
    & ( aElementOf0 @ sz00 @ ( slsdtgt0 @ xa ) )
    & ? [W0: $i] :
        ( ( ( sdtasdt0 @ xa @ W0 )
          = sz00 )
        & ( aElement0 @ W0 ) ) ) ).

thf(zip_derived_cl136,plain,
    aElementOf0 @ sz00 @ ( slsdtgt0 @ xa ),
    inference(cnf,[status(esa)],[m__2203]) ).

thf(m__,conjecture,
    ( ( aElementOf0 @ xb @ xI )
    | ? [W0: $i,W1: $i] :
        ( ( ( sdtpldt0 @ W0 @ W1 )
          = xb )
        & ( aElementOf0 @ W1 @ ( slsdtgt0 @ xb ) )
        & ( aElementOf0 @ W0 @ ( slsdtgt0 @ xa ) ) )
    | ? [W0: $i,W1: $i] :
        ( ( ( sdtpldt0 @ W0 @ W1 )
          = xb )
        & ( aElementOf0 @ W1 @ ( slsdtgt0 @ xb ) )
        & ( aElementOf0 @ W0 @ ( slsdtgt0 @ xa ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( aElementOf0 @ xb @ xI )
      | ? [W0: $i,W1: $i] :
          ( ( ( sdtpldt0 @ W0 @ W1 )
            = xb )
          & ( aElementOf0 @ W1 @ ( slsdtgt0 @ xb ) )
          & ( aElementOf0 @ W0 @ ( slsdtgt0 @ xa ) ) )
      | ? [W0: $i,W1: $i] :
          ( ( ( sdtpldt0 @ W0 @ W1 )
            = xb )
          & ( aElementOf0 @ W1 @ ( slsdtgt0 @ xb ) )
          & ( aElementOf0 @ W0 @ ( slsdtgt0 @ xa ) ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl188,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ ( slsdtgt0 @ xa ) )
      | ~ ( aElementOf0 @ X1 @ ( slsdtgt0 @ xb ) )
      | ( ( sdtpldt0 @ X0 @ X1 )
       != xb ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl218,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ ( slsdtgt0 @ xb ) )
      | ( ( sdtpldt0 @ sz00 @ X0 )
       != xb ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl136,zip_derived_cl188]) ).

thf(zip_derived_cl145,plain,
    aElementOf0 @ xb @ ( slsdtgt0 @ xb ),
    inference(cnf,[status(esa)],[m__2203]) ).

thf(zip_derived_cl250,plain,
    ( ( sdtpldt0 @ sz00 @ xb )
   != xb ),
    inference('s_sup+',[status(thm)],[zip_derived_cl218,zip_derived_cl145]) ).

thf(zip_derived_cl290,plain,
    ( ~ ( aElement0 @ xb )
    | ( xb != xb ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl250]) ).

thf(m__2091,axiom,
    ( ( aElement0 @ xb )
    & ( aElement0 @ xa ) ) ).

thf(zip_derived_cl94,plain,
    aElement0 @ xb,
    inference(cnf,[status(esa)],[m__2091]) ).

thf(zip_derived_cl303,plain,
    xb != xb,
    inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl94]) ).

thf(zip_derived_cl304,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl303]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : RNG121+4 : 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.5cyFHNaB8Y true
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sun Aug 27 02:49:17 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
% 0.13/0.36  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.05/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.05/0.81  % Solved by fo/fo1_av.sh.
% 1.05/0.81  % done 93 iterations in 0.050s
% 1.05/0.81  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.05/0.81  % SZS output start Refutation
% See solution above
% 1.05/0.81  
% 1.05/0.81  
% 1.05/0.81  % Terminating...
% 1.05/0.85  % Runner terminated.
% 1.05/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------