TSTP Solution File: NUM478+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM478+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.tVPfI7JSAE true

% Computer : n031.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 12:41:45 EDT 2023

% Result   : Theorem 1.29s 0.81s
% Output   : Refutation 1.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   33 (  12 unt;   6 typ;   0 def)
%            Number of atoms       :   59 (  22 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  242 (  26   ~;  22   |;   6   &; 184   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   17 (   0   ^;  17   !;   0   ?;  17   :)

% Comments : 
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
    aNaturalNumber0: $i > $o ).

thf(sdtsldt0_type,type,
    sdtsldt0: $i > $i > $i ).

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

thf(xn_type,type,
    xn: $i ).

thf(xm_type,type,
    xm: $i ).

thf(xl_type,type,
    xl: $i ).

thf(mMulComm,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 ) )
     => ( ( sdtasdt0 @ W0 @ W1 )
        = ( sdtasdt0 @ W1 @ W0 ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( ( sdtasdt0 @ X0 @ X1 )
        = ( sdtasdt0 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mMulComm]) ).

thf(zip_derived_cl10_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( ( sdtasdt0 @ X0 @ X1 )
        = ( sdtasdt0 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mMulComm]) ).

thf(m__,conjecture,
    ( ( ( aNaturalNumber0 @ ( sdtsldt0 @ xm @ xl ) )
      & ( xm
        = ( sdtasdt0 @ xl @ ( sdtsldt0 @ xm @ xl ) ) ) )
   => ( ( ( sdtasdt0 @ xn @ xm )
        = ( sdtasdt0 @ xl @ ( sdtasdt0 @ xn @ ( sdtsldt0 @ xm @ xl ) ) ) )
      | ( ( sdtasdt0 @ xn @ ( sdtsldt0 @ xm @ xl ) )
        = ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xl ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( aNaturalNumber0 @ ( sdtsldt0 @ xm @ xl ) )
        & ( xm
          = ( sdtasdt0 @ xl @ ( sdtsldt0 @ xm @ xl ) ) ) )
     => ( ( ( sdtasdt0 @ xn @ xm )
          = ( sdtasdt0 @ xl @ ( sdtasdt0 @ xn @ ( sdtsldt0 @ xm @ xl ) ) ) )
        | ( ( sdtasdt0 @ xn @ ( sdtsldt0 @ xm @ xl ) )
          = ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xl ) ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl67,plain,
    ( xm
    = ( sdtasdt0 @ xl @ ( sdtsldt0 @ xm @ xl ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(mMulAsso,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 )
        & ( aNaturalNumber0 @ W2 ) )
     => ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
        = ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ X2 )
      | ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
        = ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mMulAsso]) ).

thf(zip_derived_cl199,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xm @ xl ) )
      | ~ ( aNaturalNumber0 @ xl )
      | ~ ( aNaturalNumber0 @ X0 )
      | ( ( sdtasdt0 @ xm @ X0 )
        = ( sdtasdt0 @ xl @ ( sdtasdt0 @ ( sdtsldt0 @ xm @ xl ) @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl67,zip_derived_cl11]) ).

thf(zip_derived_cl66,plain,
    aNaturalNumber0 @ ( sdtsldt0 @ xm @ xl ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(m__1524,axiom,
    ( ( aNaturalNumber0 @ xm )
    & ( aNaturalNumber0 @ xl ) ) ).

thf(zip_derived_cl60,plain,
    aNaturalNumber0 @ xl,
    inference(cnf,[status(esa)],[m__1524]) ).

thf(zip_derived_cl214,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ( ( sdtasdt0 @ xm @ X0 )
        = ( sdtasdt0 @ xl @ ( sdtasdt0 @ ( sdtsldt0 @ xm @ xl ) @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl66,zip_derived_cl60]) ).

thf(zip_derived_cl248,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xm @ xl ) )
      | ~ ( aNaturalNumber0 @ X0 )
      | ( ( sdtasdt0 @ xm @ X0 )
        = ( sdtasdt0 @ xl @ ( sdtasdt0 @ X0 @ ( sdtsldt0 @ xm @ xl ) ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl214]) ).

thf(zip_derived_cl66_002,plain,
    aNaturalNumber0 @ ( sdtsldt0 @ xm @ xl ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl252,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ( ( sdtasdt0 @ xm @ X0 )
        = ( sdtasdt0 @ xl @ ( sdtasdt0 @ X0 @ ( sdtsldt0 @ xm @ xl ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl248,zip_derived_cl66]) ).

thf(zip_derived_cl253,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ xm @ X0 )
        = ( sdtasdt0 @ xl @ ( sdtasdt0 @ X0 @ ( sdtsldt0 @ xm @ xl ) ) ) )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl252]) ).

thf(zip_derived_cl68,plain,
    ( ( sdtasdt0 @ xn @ xm )
   != ( sdtasdt0 @ xl @ ( sdtasdt0 @ xn @ ( sdtsldt0 @ xm @ xl ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl385,plain,
    ( ~ ( aNaturalNumber0 @ xn )
    | ( ( sdtasdt0 @ xn @ xm )
     != ( sdtasdt0 @ xm @ xn ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl253,zip_derived_cl68]) ).

thf(m__1553,axiom,
    aNaturalNumber0 @ xn ).

thf(zip_derived_cl65,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__1553]) ).

thf(zip_derived_cl405,plain,
    ( ( sdtasdt0 @ xn @ xm )
   != ( sdtasdt0 @ xm @ xn ) ),
    inference(demod,[status(thm)],[zip_derived_cl385,zip_derived_cl65]) ).

thf(zip_derived_cl407,plain,
    ( ~ ( aNaturalNumber0 @ xm )
    | ~ ( aNaturalNumber0 @ xn )
    | ( ( sdtasdt0 @ xm @ xn )
     != ( sdtasdt0 @ xm @ xn ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl405]) ).

thf(zip_derived_cl59,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1524]) ).

thf(zip_derived_cl65_003,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__1553]) ).

thf(zip_derived_cl409,plain,
    ( ( sdtasdt0 @ xm @ xn )
   != ( sdtasdt0 @ xm @ xn ) ),
    inference(demod,[status(thm)],[zip_derived_cl407,zip_derived_cl59,zip_derived_cl65]) ).

thf(zip_derived_cl410,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl409]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM478+2 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tVPfI7JSAE true
% 0.13/0.35  % Computer : n031.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 : Fri Aug 25 09:17:52 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
% 0.21/0.67  % Total configuration time : 435
% 0.21/0.67  % Estimated wc time : 1092
% 0.21/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.88/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.88/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.88/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.88/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.29/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.29/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.29/0.81  % Solved by fo/fo1_av.sh.
% 1.29/0.81  % done 70 iterations in 0.049s
% 1.29/0.81  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.29/0.81  % SZS output start Refutation
% See solution above
% 1.29/0.81  
% 1.29/0.81  
% 1.29/0.81  % Terminating...
% 1.56/0.86  % Runner terminated.
% 1.56/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------