TSTP Solution File: NUM521+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM521+1 : 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.3ewwMIEwTY true

% Computer : n026.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 12:42:04 EDT 2023

% Result   : Theorem 0.71s 0.84s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   38 (  18 unt;   5 typ;   0 def)
%            Number of atoms       :   63 (  12 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  133 (  27   ~;  21   |;   7   &;  76   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    9 (   0   ^;   9   !;   0   ?;   9   :)

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

thf(xp_type,type,
    xp: $i ).

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

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

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

thf(mLERefl,axiom,
    ! [W0: $i] :
      ( ( aNaturalNumber0 @ W0 )
     => ( sdtlseqdt0 @ W0 @ W0 ) ) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i] :
      ( ( sdtlseqdt0 @ X0 @ X0 )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(cnf,[status(esa)],[mLERefl]) ).

thf(m__1870,axiom,
    ~ ( sdtlseqdt0 @ xp @ xn ) ).

thf(zip_derived_cl76,plain,
    ~ ( sdtlseqdt0 @ xp @ xn ),
    inference(cnf,[status(esa)],[m__1870]) ).

thf(zip_derived_cl31_001,plain,
    ! [X0: $i] :
      ( ( sdtlseqdt0 @ X0 @ X0 )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(cnf,[status(esa)],[mLERefl]) ).

thf(m__2287,axiom,
    ~ ( ( xn != xp )
      & ( sdtlseqdt0 @ xn @ xp )
      & ( xm != xp )
      & ( sdtlseqdt0 @ xm @ xp ) ) ).

thf(zip_derived_cl78,plain,
    ( ( xn = xp )
    | ~ ( sdtlseqdt0 @ xn @ xp )
    | ( xm = xp )
    | ~ ( sdtlseqdt0 @ xm @ xp ) ),
    inference(cnf,[status(esa)],[m__2287]) ).

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

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( sdtlseqdt0 @ X0 @ X1 )
      | ( sdtlseqdt0 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[mLETotal]) ).

thf(zip_derived_cl76_002,plain,
    ~ ( sdtlseqdt0 @ xp @ xn ),
    inference(cnf,[status(esa)],[m__1870]) ).

thf(zip_derived_cl1196,plain,
    ( ( sdtlseqdt0 @ xn @ xp )
    | ~ ( aNaturalNumber0 @ xn )
    | ~ ( aNaturalNumber0 @ xp ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl76]) ).

thf(m__1837,axiom,
    ( ( aNaturalNumber0 @ xp )
    & ( aNaturalNumber0 @ xm )
    & ( aNaturalNumber0 @ xn ) ) ).

thf(zip_derived_cl72,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl70,plain,
    aNaturalNumber0 @ xp,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl1211,plain,
    sdtlseqdt0 @ xn @ xp,
    inference(demod,[status(thm)],[zip_derived_cl1196,zip_derived_cl72,zip_derived_cl70]) ).

thf(zip_derived_cl1219,plain,
    ( ( xn = xp )
    | ( xm = xp )
    | ~ ( sdtlseqdt0 @ xm @ xp ) ),
    inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl1211]) ).

thf(zip_derived_cl35_003,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( sdtlseqdt0 @ X0 @ X1 )
      | ( sdtlseqdt0 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[mLETotal]) ).

thf(m__2075,axiom,
    ~ ( sdtlseqdt0 @ xp @ xm ) ).

thf(zip_derived_cl77,plain,
    ~ ( sdtlseqdt0 @ xp @ xm ),
    inference(cnf,[status(esa)],[m__2075]) ).

thf(zip_derived_cl1197,plain,
    ( ( sdtlseqdt0 @ xm @ xp )
    | ~ ( aNaturalNumber0 @ xm )
    | ~ ( aNaturalNumber0 @ xp ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl77]) ).

thf(zip_derived_cl71,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl70_004,plain,
    aNaturalNumber0 @ xp,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl1212,plain,
    sdtlseqdt0 @ xm @ xp,
    inference(demod,[status(thm)],[zip_derived_cl1197,zip_derived_cl71,zip_derived_cl70]) ).

thf(zip_derived_cl1225,plain,
    ( ( xn = xp )
    | ( xm = xp ) ),
    inference(demod,[status(thm)],[zip_derived_cl1219,zip_derived_cl1212]) ).

thf(zip_derived_cl77_005,plain,
    ~ ( sdtlseqdt0 @ xp @ xm ),
    inference(cnf,[status(esa)],[m__2075]) ).

thf(zip_derived_cl1241,plain,
    ( ( xn = xp )
    | ~ ( sdtlseqdt0 @ xm @ xm ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1225,zip_derived_cl77]) ).

thf(zip_derived_cl1342,plain,
    ( ~ ( aNaturalNumber0 @ xm )
    | ( xn = xp ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl1241]) ).

thf(zip_derived_cl71_006,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl1345,plain,
    xn = xp,
    inference(demod,[status(thm)],[zip_derived_cl1342,zip_derived_cl71]) ).

thf(zip_derived_cl1350,plain,
    ~ ( sdtlseqdt0 @ xn @ xn ),
    inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl1345]) ).

thf(zip_derived_cl1358,plain,
    ~ ( aNaturalNumber0 @ xn ),
    inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl1350]) ).

thf(zip_derived_cl72_007,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(zip_derived_cl1361,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1358,zip_derived_cl72]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM521+1 : 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.3ewwMIEwTY true
% 0.13/0.35  % Computer : n026.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 16:45:18 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
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % 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
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.71/0.84  % Solved by fo/fo6_bce.sh.
% 0.71/0.84  % BCE start: 81
% 0.71/0.84  % BCE eliminated: 1
% 0.71/0.84  % PE start: 80
% 0.71/0.84  logic: eq
% 0.71/0.84  % PE eliminated: 1
% 0.71/0.84  % done 118 iterations in 0.114s
% 0.71/0.84  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.71/0.84  % SZS output start Refutation
% See solution above
% 0.71/0.84  
% 0.71/0.84  
% 0.71/0.84  % Terminating...
% 1.51/0.88  % Runner terminated.
% 1.51/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------