TSTP Solution File: NUM467+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM467+2 : 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.ik7ERwTs9l true

% Computer : n005.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 12:41:39 EDT 2023

% Result   : Theorem 8.44s 1.85s
% Output   : Refutation 8.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   31 (   7 unt;   9 typ;   0 def)
%            Number of atoms       :   58 (  17 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  214 (  28   ~;  21   |;  13   &; 150   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   23 (   0   ^;  19   !;   4   ?;  23   :)

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

thf(sk__3_type,type,
    sk__3: $i ).

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

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

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

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

thf(doDivides0_type,type,
    doDivides0: $i > $i > $o ).

thf(sk__2_type,type,
    sk__2: $i ).

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

thf(m__1240_04,axiom,
    ( ( doDivides0 @ xl @ xn )
    & ? [W0: $i] :
        ( ( xn
          = ( sdtasdt0 @ xl @ W0 ) )
        & ( aNaturalNumber0 @ W0 ) )
    & ( doDivides0 @ xl @ xm )
    & ? [W0: $i] :
        ( ( xm
          = ( sdtasdt0 @ xl @ W0 ) )
        & ( aNaturalNumber0 @ W0 ) ) ) ).

thf(zip_derived_cl59,plain,
    ( xm
    = ( sdtasdt0 @ xl @ sk__3 ) ),
    inference(cnf,[status(esa)],[m__1240_04]) ).

thf(zip_derived_cl62,plain,
    ( xn
    = ( sdtasdt0 @ xl @ sk__2 ) ),
    inference(cnf,[status(esa)],[m__1240_04]) ).

thf(mAMDistr,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 )
        & ( aNaturalNumber0 @ W2 ) )
     => ( ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
          = ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) )
        & ( ( sdtasdt0 @ ( sdtpldt0 @ W1 @ W2 ) @ W0 )
          = ( sdtpldt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ X2 )
      | ( ( sdtasdt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
        = ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mAMDistr]) ).

thf(m__,conjecture,
    ( ( doDivides0 @ xl @ ( sdtpldt0 @ xm @ xn ) )
    | ? [W0: $i] :
        ( ( ( sdtpldt0 @ xm @ xn )
          = ( sdtasdt0 @ xl @ W0 ) )
        & ( aNaturalNumber0 @ W0 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( doDivides0 @ xl @ ( sdtpldt0 @ xm @ xn ) )
      | ? [W0: $i] :
          ( ( ( sdtpldt0 @ xm @ xn )
            = ( sdtasdt0 @ xl @ W0 ) )
          & ( aNaturalNumber0 @ W0 ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ xm @ xn )
       != ( sdtasdt0 @ xl @ X0 ) )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl704,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtpldt0 @ xm @ xn )
       != ( sdtpldt0 @ ( sdtasdt0 @ xl @ X1 ) @ ( sdtasdt0 @ xl @ X0 ) ) )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ xl )
      | ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl65]) ).

thf(m__1240,axiom,
    ( ( aNaturalNumber0 @ xn )
    & ( aNaturalNumber0 @ xm )
    & ( aNaturalNumber0 @ xl ) ) ).

thf(zip_derived_cl58,plain,
    aNaturalNumber0 @ xl,
    inference(cnf,[status(esa)],[m__1240]) ).

thf(zip_derived_cl724,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtpldt0 @ xm @ xn )
       != ( sdtpldt0 @ ( sdtasdt0 @ xl @ X1 ) @ ( sdtasdt0 @ xl @ X0 ) ) )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ X1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl704,zip_derived_cl58]) ).

thf(mSortsB,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 ) )
     => ( aNaturalNumber0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB]) ).

thf(zip_derived_cl11110,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ( ( sdtpldt0 @ xm @ xn )
       != ( sdtpldt0 @ ( sdtasdt0 @ xl @ X1 ) @ ( sdtasdt0 @ xl @ X0 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl724,zip_derived_cl4]) ).

thf(zip_derived_cl11136,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ xm @ xn )
       != ( sdtpldt0 @ ( sdtasdt0 @ xl @ X0 ) @ xn ) )
      | ~ ( aNaturalNumber0 @ sk__2 )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl11110]) ).

thf(zip_derived_cl63,plain,
    aNaturalNumber0 @ sk__2,
    inference(cnf,[status(esa)],[m__1240_04]) ).

thf(zip_derived_cl11189,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ xm @ xn )
       != ( sdtpldt0 @ ( sdtasdt0 @ xl @ X0 ) @ xn ) )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl11136,zip_derived_cl63]) ).

thf(zip_derived_cl12378,plain,
    ( ( ( sdtpldt0 @ xm @ xn )
     != ( sdtpldt0 @ xm @ xn ) )
    | ~ ( aNaturalNumber0 @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl11189]) ).

thf(zip_derived_cl60,plain,
    aNaturalNumber0 @ sk__3,
    inference(cnf,[status(esa)],[m__1240_04]) ).

thf(zip_derived_cl12407,plain,
    ( ( sdtpldt0 @ xm @ xn )
   != ( sdtpldt0 @ xm @ xn ) ),
    inference(demod,[status(thm)],[zip_derived_cl12378,zip_derived_cl60]) ).

thf(zip_derived_cl12408,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl12407]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM467+2 : 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.ik7ERwTs9l true
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Aug 25 15:29:38 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.21/0.66  % Total configuration time : 435
% 0.21/0.66  % Estimated wc time : 1092
% 0.21/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 8.44/1.85  % Solved by fo/fo3_bce.sh.
% 8.44/1.85  % BCE start: 67
% 8.44/1.85  % BCE eliminated: 2
% 8.44/1.85  % PE start: 65
% 8.44/1.85  logic: eq
% 8.44/1.85  % PE eliminated: 0
% 8.44/1.85  % done 1185 iterations in 1.088s
% 8.44/1.85  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 8.44/1.85  % SZS output start Refutation
% See solution above
% 8.44/1.85  
% 8.44/1.85  
% 8.44/1.85  % Terminating...
% 9.12/1.95  % Runner terminated.
% 9.12/1.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------