TSTP Solution File: NUM477+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM477+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.ij5uOPfYej true

% Computer : n001.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 12:41:44 EDT 2023

% Result   : Theorem 1.53s 0.89s
% Output   : Refutation 1.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   31 (  11 unt;   9 typ;   0 def)
%            Number of atoms       :   44 (  18 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   88 (  11   ~;  11   |;   8   &;  55   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :    9 (   0   ^;   6   !;   3   ?;   9   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__2_type,type,
    sk__2: $i ).

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

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

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

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

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

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

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

thf(sdtlseqdt0_type,type,
    sdtlseqdt0: $i > $i > $o ).

thf(m__1494_04,axiom,
    ( ( xn != sz00 )
    & ( doDivides0 @ xm @ xn )
    & ? [W0: $i] :
        ( ( xn
          = ( sdtasdt0 @ xm @ W0 ) )
        & ( aNaturalNumber0 @ W0 ) ) ) ).

thf(zip_derived_cl60,plain,
    ( xn
    = ( sdtasdt0 @ xm @ sk__2 ) ),
    inference(cnf,[status(esa)],[m__1494_04]) ).

thf(zip_derived_cl60_001,plain,
    ( xn
    = ( sdtasdt0 @ xm @ sk__2 ) ),
    inference(cnf,[status(esa)],[m__1494_04]) ).

thf(mMonMul2,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 ) )
     => ( ( W0 != sz00 )
       => ( sdtlseqdt0 @ W1 @ ( sdtasdt0 @ W1 @ W0 ) ) ) ) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = sz00 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( sdtlseqdt0 @ X1 @ ( sdtasdt0 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mMonMul2]) ).

thf(zip_derived_cl584,plain,
    ( ( sk__2 = sz00 )
    | ~ ( aNaturalNumber0 @ sk__2 )
    | ~ ( aNaturalNumber0 @ xm )
    | ( sdtlseqdt0 @ xm @ xn ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl60,zip_derived_cl46]) ).

thf(zip_derived_cl61,plain,
    aNaturalNumber0 @ sk__2,
    inference(cnf,[status(esa)],[m__1494_04]) ).

thf(m__1494,axiom,
    ( ( aNaturalNumber0 @ xn )
    & ( aNaturalNumber0 @ xm ) ) ).

thf(zip_derived_cl59,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1494]) ).

thf(zip_derived_cl597,plain,
    ( ( sk__2 = sz00 )
    | ( sdtlseqdt0 @ xm @ xn ) ),
    inference(demod,[status(thm)],[zip_derived_cl584,zip_derived_cl61,zip_derived_cl59]) ).

thf(m__,conjecture,
    ( ( sdtlseqdt0 @ xm @ xn )
    | ? [W0: $i] :
        ( ( ( sdtpldt0 @ xm @ W0 )
          = xn )
        & ( aNaturalNumber0 @ W0 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( sdtlseqdt0 @ xm @ xn )
      | ? [W0: $i] :
          ( ( ( sdtpldt0 @ xm @ W0 )
            = xn )
          & ( aNaturalNumber0 @ W0 ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl65,plain,
    ~ ( sdtlseqdt0 @ xm @ xn ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl599,plain,
    sk__2 = sz00,
    inference(clc,[status(thm)],[zip_derived_cl597,zip_derived_cl65]) ).

thf(zip_derived_cl600,plain,
    ( xn
    = ( sdtasdt0 @ xm @ sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl599]) ).

thf(m_MulZero,axiom,
    ! [W0: $i] :
      ( ( aNaturalNumber0 @ W0 )
     => ( ( ( sdtasdt0 @ W0 @ sz00 )
          = sz00 )
        & ( sz00
          = ( sdtasdt0 @ sz00 @ W0 ) ) ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ X0 @ sz00 )
        = sz00 )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(cnf,[status(esa)],[m_MulZero]) ).

thf(zip_derived_cl611,plain,
    ( ( xn = sz00 )
    | ~ ( aNaturalNumber0 @ xm ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl600,zip_derived_cl14]) ).

thf(zip_derived_cl59_002,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1494]) ).

thf(zip_derived_cl621,plain,
    xn = sz00,
    inference(demod,[status(thm)],[zip_derived_cl611,zip_derived_cl59]) ).

thf(zip_derived_cl63,plain,
    xn != sz00,
    inference(cnf,[status(esa)],[m__1494_04]) ).

thf(zip_derived_cl622,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl621,zip_derived_cl63]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM477+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.ij5uOPfYej true
% 0.16/0.34  % Computer : n001.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Fri Aug 25 10:23:13 EDT 2023
% 0.16/0.34  % CPUTime  : 
% 0.16/0.34  % Running portfolio for 300 s
% 0.16/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.35  % Number of cores: 8
% 0.16/0.35  % Python version: Python 3.6.8
% 0.16/0.35  % Running in FO mode
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70  % /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
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.53/0.89  % Solved by fo/fo13.sh.
% 1.53/0.89  % done 102 iterations in 0.092s
% 1.53/0.89  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.53/0.89  % SZS output start Refutation
% See solution above
% 1.53/0.89  
% 1.53/0.89  
% 1.53/0.89  % Terminating...
% 2.20/0.95  % Runner terminated.
% 2.21/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------