TSTP Solution File: RNG060+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG060+2 : 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.vT1bIdt37J true

% Computer : n015.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 14:06:36 EDT 2023

% Result   : Theorem 1.27s 0.88s
% Output   : Refutation 1.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   32 (  12 unt;  11 typ;   0 def)
%            Number of atoms       :   41 (  15 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  255 (  17   ~;  11   |;   7   &; 218   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :   10 (   0   ^;  10   !;   0   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
thf(xG_type,type,
    xG: $i ).

thf(xR_type,type,
    xR: $i ).

thf(xD_type,type,
    xD: $i ).

thf(xS_type,type,
    xS: $i ).

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

thf(xF_type,type,
    xF: $i ).

thf(xC_type,type,
    xC: $i ).

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

thf(aScalar0_type,type,
    aScalar0: $i > $o ).

thf(xN_type,type,
    xN: $i ).

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

thf(mNegSc,axiom,
    ! [W0: $i] :
      ( ( aScalar0 @ W0 )
     => ( aScalar0 @ ( smndt0 @ W0 ) ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ( ( aScalar0 @ ( smndt0 @ X0 ) )
      | ~ ( aScalar0 @ X0 ) ),
    inference(cnf,[status(esa)],[mNegSc]) ).

thf(mDistr2,axiom,
    ! [W0: $i,W1: $i,W2: $i,W3: $i] :
      ( ( ( aScalar0 @ W0 )
        & ( aScalar0 @ W1 )
        & ( aScalar0 @ W2 )
        & ( aScalar0 @ W3 ) )
     => ( ( sdtasdt0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt0 @ W2 @ W3 ) )
        = ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W2 ) @ ( sdtasdt0 @ W0 @ W3 ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ W1 @ W2 ) @ ( sdtasdt0 @ W1 @ W3 ) ) ) ) ) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ~ ( aScalar0 @ X3 )
      | ( ( sdtasdt0 @ ( sdtpldt0 @ X2 @ X1 ) @ ( sdtpldt0 @ X0 @ X3 ) )
        = ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ X2 @ X0 ) @ ( sdtasdt0 @ X2 @ X3 ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ X3 ) ) ) ) ),
    inference(cnf,[status(esa)],[mDistr2]) ).

thf(m__,conjecture,
    ( ( sdtasdt0 @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) )
    = ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( smndt0 @ xN ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( sdtasdt0 @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) )
   != ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( smndt0 @ xN ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl98,plain,
    ( ( sdtasdt0 @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) @ ( sdtpldt0 @ xR @ ( smndt0 @ xS ) ) )
   != ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( smndt0 @ xN ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1054,plain,
    ( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( sdtasdt0 @ xR @ ( smndt0 @ xS ) ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ ( smndt0 @ xS ) @ xR ) @ ( sdtasdt0 @ ( smndt0 @ xS ) @ ( smndt0 @ xS ) ) ) )
     != ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( smndt0 @ xN ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) ) )
    | ~ ( aScalar0 @ ( smndt0 @ xS ) )
    | ~ ( aScalar0 @ xR )
    | ~ ( aScalar0 @ ( smndt0 @ xS ) )
    | ~ ( aScalar0 @ xR ) ),
    inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl98]) ).

thf(m__2144,axiom,
    ( ( ( sdtasdt0 @ ( smndt0 @ xS ) @ ( smndt0 @ xS ) )
      = ( sdtasdt0 @ xS @ xS ) )
    & ( ( sdtasdt0 @ ( smndt0 @ xS ) @ xR )
      = ( smndt0 @ xN ) )
    & ( ( sdtasdt0 @ xR @ ( smndt0 @ xS ) )
      = ( smndt0 @ xN ) ) ) ).

thf(zip_derived_cl97,plain,
    ( ( sdtasdt0 @ xR @ ( smndt0 @ xS ) )
    = ( smndt0 @ xN ) ),
    inference(cnf,[status(esa)],[m__2144]) ).

thf(zip_derived_cl96,plain,
    ( ( sdtasdt0 @ ( smndt0 @ xS ) @ xR )
    = ( smndt0 @ xN ) ),
    inference(cnf,[status(esa)],[m__2144]) ).

thf(zip_derived_cl95,plain,
    ( ( sdtasdt0 @ ( smndt0 @ xS ) @ ( smndt0 @ xS ) )
    = ( sdtasdt0 @ xS @ xS ) ),
    inference(cnf,[status(esa)],[m__2144]) ).

thf(m__1892,axiom,
    ( ( xR
      = ( sdtasdt0 @ xC @ xG ) )
    & ( aScalar0 @ xR ) ) ).

thf(zip_derived_cl86,plain,
    aScalar0 @ xR,
    inference(cnf,[status(esa)],[m__1892]) ).

thf(zip_derived_cl86_001,plain,
    aScalar0 @ xR,
    inference(cnf,[status(esa)],[m__1892]) ).

thf(zip_derived_cl1096,plain,
    ( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( smndt0 @ xN ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) )
     != ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ xR @ xR ) @ ( smndt0 @ xN ) ) @ ( sdtpldt0 @ ( smndt0 @ xN ) @ ( sdtasdt0 @ xS @ xS ) ) ) )
    | ~ ( aScalar0 @ ( smndt0 @ xS ) )
    | ~ ( aScalar0 @ ( smndt0 @ xS ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1054,zip_derived_cl97,zip_derived_cl96,zip_derived_cl95,zip_derived_cl86,zip_derived_cl86]) ).

thf(zip_derived_cl1097,plain,
    ~ ( aScalar0 @ ( smndt0 @ xS ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1096]) ).

thf(zip_derived_cl1099,plain,
    ~ ( aScalar0 @ xS ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl1097]) ).

thf(m__1930,axiom,
    ( ( xS
      = ( sdtasdt0 @ xF @ xD ) )
    & ( aScalar0 @ xS ) ) ).

thf(zip_derived_cl90,plain,
    aScalar0 @ xS,
    inference(cnf,[status(esa)],[m__1930]) ).

thf(zip_derived_cl1100,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1099,zip_derived_cl90]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : RNG060+2 : 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.vT1bIdt37J true
% 0.14/0.35  % Computer : n015.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 01:51:23 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
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.68  % Total configuration time : 435
% 0.22/0.68  % Estimated wc time : 1092
% 0.22/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.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/fo1_av.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.27/0.88  % Solved by fo/fo3_bce.sh.
% 1.27/0.88  % BCE start: 99
% 1.27/0.88  % BCE eliminated: 0
% 1.27/0.88  % PE start: 99
% 1.27/0.88  logic: eq
% 1.27/0.88  % PE eliminated: 1
% 1.27/0.88  % done 128 iterations in 0.093s
% 1.27/0.88  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.27/0.88  % SZS output start Refutation
% See solution above
% 1.27/0.88  
% 1.27/0.88  
% 1.27/0.88  % Terminating...
% 1.58/0.97  % Runner terminated.
% 1.58/0.99  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------