TSTP Solution File: SEV225^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV225^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.b5Lp5PaDRG 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 20:00:05 EDT 2023

% Result   : Theorem 0.23s 0.82s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   19 (   7 unt;   5 typ;   0 def)
%            Number of atoms       :   36 (  10 equ;   4 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   65 (  15   ~;   0   |;   6   &;  36   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   4 usr;   6 con; 0-2 aty)
%                                         (   4  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   12 (   4   ^;   8   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(r_type,type,
    r: $tType ).

thf(less_type,type,
    less: r > r > $o ).

thf('#sk1_type',type,
    '#sk1': r ).

thf(cIRREFLEXIVE_LAW_type,type,
    cIRREFLEXIVE_LAW: $o ).

thf(c0_type,type,
    c0: r ).

thf(cIRREFLEXIVE_LAW_def,axiom,
    ( cIRREFLEXIVE_LAW
    = ( ! [Xx: r] :
          ~ ( less @ Xx @ Xx ) ) ) ).

thf('0',plain,
    ( cIRREFLEXIVE_LAW
    = ( ! [X4: r] :
          ~ ( less @ X4 @ X4 ) ) ),
    define([status(thm)]) ).

thf(cPARNAS_FIG3_A,conjecture,
    ( cIRREFLEXIVE_LAW
   => ! [Xx: r] :
        ~ ( ( less @ Xx @ c0 )
          & ( Xx = c0 ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: r] :
        ~ ( less @ X4 @ X4 )
   => ! [X6: r] :
        ~ ( ( X6 = c0 )
          & ( less @ X6 @ c0 ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: r] :
          ~ ( less @ X4 @ X4 )
     => ! [X6: r] :
          ~ ( ( X6 = c0 )
            & ( less @ X6 @ c0 ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( !!
        @ ^ [Y0: r] : ( (~) @ ( less @ Y0 @ Y0 ) ) )
     => ( !!
        @ ^ [Y0: r] :
            ( (~)
            @ ( ( Y0 = c0 )
              & ( less @ Y0 @ c0 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    ~ ( !!
      @ ^ [Y0: r] :
          ( (~)
          @ ( ( Y0 = c0 )
            & ( less @ Y0 @ c0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ( ( '#sk1' = c0 )
    & ( less @ '#sk1' @ c0 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl6,plain,
    less @ '#sk1' @ c0,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl5,plain,
    '#sk1' = c0,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl7,plain,
    '#sk1' = c0,
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl1,plain,
    ( !!
    @ ^ [Y0: r] : ( (~) @ ( less @ Y0 @ Y0 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ! [X2: r] :
      ~ ( less @ X2 @ X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl8,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl7,zip_derived_cl3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : SEV225^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% 0.13/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.b5Lp5PaDRG true
% 0.15/0.37  % Computer : n031.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Thu Aug 24 03:18:20 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  % Running portfolio for 300 s
% 0.15/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.38  % Python version: Python 3.6.8
% 0.15/0.38  % Running in HO mode
% 0.23/0.70  % Total configuration time : 828
% 0.23/0.70  % Estimated wc time : 1656
% 0.23/0.70  % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.78  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.23/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.23/0.80  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.23/0.81  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.23/0.82  % Solved by lams/35_full_unif4.sh.
% 0.23/0.82  % done 2 iterations in 0.006s
% 0.23/0.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.23/0.82  % SZS output start Refutation
% See solution above
% 0.23/0.82  
% 0.23/0.82  
% 0.23/0.82  % Terminating...
% 1.77/0.91  % Runner terminated.
% 1.77/0.92  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------