TSTP Solution File: SEV285^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV285^5 : 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.tqLi6Uml7o true

% Computer : n029.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 20:00:18 EDT 2023

% Result   : Theorem 0.19s 0.75s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (   6 unt;   4 typ;   0 def)
%            Number of atoms       :   24 (  16 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   41 (   6   ~;   0   |;   0   &;  23   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   2 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   2 usr;   2 con; 0-2 aty)
%                                         (   7  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   15 (   7   ^;   8   !;   0   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
thf(b_type,type,
    b: $tType ).

thf(a_type,type,
    a: $tType ).

thf('#sk1_type',type,
    '#sk1': a > b ).

thf('#sk2_type',type,
    '#sk2': a > b ).

thf(cEE_eq_,conjecture,
    ! [F: a > b,G: a > b] :
      ( ! [A: a] :
          ( ( F @ A )
          = ( G @ A ) )
     => ( F = G ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [F: a > b,G: a > b] :
        ( ! [A: a] :
            ( ( F @ A )
            = ( G @ A ) )
       => ( F = G ) ),
    inference('cnf.neg',[status(esa)],[cEE_eq_]) ).

thf(zip_derived_cl0,plain,
    ~ ( !!
      @ ^ [Y0: a > b] :
          ( !!
          @ ^ [Y1: a > b] :
              ( ( !!
                @ ^ [Y2: a] :
                    ( ( Y0 @ Y2 )
                    = ( Y1 @ Y2 ) ) )
             => ( Y0 = Y1 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ~ ( !!
      @ ^ [Y0: a > b] :
          ( ( !!
            @ ^ [Y1: a] :
                ( ( '#sk1' @ Y1 )
                = ( Y0 @ Y1 ) ) )
         => ( '#sk1' = Y0 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ~ ( ( !!
        @ ^ [Y0: a] :
            ( ( '#sk1' @ Y0 )
            = ( '#sk2' @ Y0 ) ) )
     => ( '#sk1' = '#sk2' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ( !!
    @ ^ [Y0: a] :
        ( ( '#sk1' @ Y0 )
        = ( '#sk2' @ Y0 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl5,plain,
    ! [X2: a] :
      ( ( '#sk1' @ X2 )
      = ( '#sk2' @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    ! [X2: a] :
      ( ( '#sk1' @ X2 )
      = ( '#sk2' @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl11,plain,
    '#sk1' = '#sk2',
    inference(ho_ext_pos_general,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl4,plain,
    '#sk1' != '#sk2',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl6,plain,
    '#sk1' != '#sk2',
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl13,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl11,zip_derived_cl6]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SEV285^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.tqLi6Uml7o true
% 0.15/0.33  % Computer : n029.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit : 300
% 0.15/0.33  % WCLimit  : 300
% 0.15/0.33  % DateTime : Thu Aug 24 04:23:23 EDT 2023
% 0.18/0.33  % CPUTime  : 
% 0.18/0.33  % Running portfolio for 300 s
% 0.18/0.33  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.33  % Number of cores: 8
% 0.18/0.34  % Python version: Python 3.6.8
% 0.18/0.34  % Running in HO mode
% 0.19/0.62  % Total configuration time : 828
% 0.19/0.62  % Estimated wc time : 1656
% 0.19/0.62  % Estimated cpu time (8 cpus) : 207.0
% 0.19/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.19/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.19/0.71  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.19/0.73  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.19/0.73  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.19/0.74  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.19/0.75  % Solved by lams/35_full_unif4.sh.
% 0.19/0.75  % done 2 iterations in 0.007s
% 0.19/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.19/0.75  % SZS output start Refutation
% See solution above
% 0.19/0.75  
% 0.19/0.75  
% 0.19/0.75  % Terminating...
% 1.66/0.83  % Runner terminated.
% 1.66/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------