TSTP Solution File: SEV163^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV163^5 : 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.7bMY7sg97e true

% Computer : n023.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 19:59:51 EDT 2023

% Result   : Theorem 0.57s 0.75s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   6 unt;   2 typ;   0 def)
%            Number of atoms       :   15 (  13 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   60 (   6   ~;   0   |;   0   &;  49   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Number of types       :    1 (   1 usr)
%            Number of type conns  :   36 (  36   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   1 usr;   2 con; 0-2 aty)
%                                         (   1  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   63 (  61   ^;   2   !;   0   ?;  63   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

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

thf(cTHM187_pme,conjecture,
    ! [Xp: ( a > a > a ) > a] :
      ( ( Xp
        = ( ^ [Xg: a > a > a] :
              ( Xg
              @ ( Xp
                @ ^ [Xx: a,Xy: a] : Xx )
              @ ( Xp
                @ ^ [Xx: a,Xy: a] : Xy ) ) ) )
     => ( ( ^ [Xg: a > a > a] :
              ( Xg
              @ ( Xp
                @ ^ [Xx: a,Xy: a] : Xx )
              @ ( Xp
                @ ^ [Xx: a,Xy: a] : Xy ) ) )
        = Xp ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xp: ( a > a > a ) > a] :
        ( ( Xp
          = ( ^ [Xg: a > a > a] :
                ( Xg
                @ ( Xp
                  @ ^ [Xx: a,Xy: a] : Xx )
                @ ( Xp
                  @ ^ [Xx: a,Xy: a] : Xy ) ) ) )
       => ( ( ^ [Xg: a > a > a] :
                ( Xg
                @ ( Xp
                  @ ^ [Xx: a,Xy: a] : Xx )
                @ ( Xp
                  @ ^ [Xx: a,Xy: a] : Xy ) ) )
          = Xp ) ),
    inference('cnf.neg',[status(esa)],[cTHM187_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( !!
      @ ^ [Y0: ( a > a > a ) > a] :
          ( ( Y0
            = ( ^ [Y1: a > a > a] :
                  ( Y1
                  @ ( Y0
                    @ ^ [Y2: a,Y3: a] : Y2 )
                  @ ( Y0
                    @ ^ [Y2: a,Y3: a] : Y3 ) ) ) )
         => ( ( ^ [Y1: a > a > a] :
                  ( Y1
                  @ ( Y0
                    @ ^ [Y2: a,Y3: a] : Y2 )
                  @ ( Y0
                    @ ^ [Y2: a,Y3: a] : Y3 ) ) )
            = Y0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ~ ( ( '#sk1'
        = ( ^ [Y0: a > a > a] :
              ( Y0
              @ ( '#sk1'
                @ ^ [Y1: a,Y2: a] : Y1 )
              @ ( '#sk1'
                @ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
     => ( ( ^ [Y0: a > a > a] :
              ( Y0
              @ ( '#sk1'
                @ ^ [Y1: a,Y2: a] : Y1 )
              @ ( '#sk1'
                @ ^ [Y1: a,Y2: a] : Y2 ) ) )
        = '#sk1' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ( ( ^ [Y0: a > a > a] :
          ( Y0
          @ ( '#sk1'
            @ ^ [Y1: a,Y2: a] : Y1 )
          @ ( '#sk1'
            @ ^ [Y1: a,Y2: a] : Y2 ) ) )
   != '#sk1' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl5,plain,
    ( ( ^ [Y0: a > a > a] :
          ( Y0
          @ ( '#sk1'
            @ ^ [Y1: a,Y2: a] : Y1 )
          @ ( '#sk1'
            @ ^ [Y1: a,Y2: a] : Y2 ) ) )
   != '#sk1' ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl2,plain,
    ( '#sk1'
    = ( ^ [Y0: a > a > a] :
          ( Y0
          @ ( '#sk1'
            @ ^ [Y1: a,Y2: a] : Y1 )
          @ ( '#sk1'
            @ ^ [Y1: a,Y2: a] : Y2 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl4,plain,
    ( '#sk1'
    = ( ^ [Y0: a > a > a] :
          ( Y0
          @ ( '#sk1'
            @ ^ [Y1: a,Y2: a] : Y1 )
          @ ( '#sk1'
            @ ^ [Y1: a,Y2: a] : Y2 ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl8,plain,
    '#sk1' != '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).

thf(zip_derived_cl9,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl8]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEV163^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7bMY7sg97e true
% 0.14/0.35  % Computer : n023.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug 24 04:05:42 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.56/0.67  % Total configuration time : 828
% 0.56/0.67  % Estimated wc time : 1656
% 0.56/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.72  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.75  % Solved by lams/35_full_unif4.sh.
% 0.57/0.75  % done 1 iterations in 0.006s
% 0.57/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.75  % SZS output start Refutation
% See solution above
% 0.57/0.75  
% 0.57/0.75  
% 0.57/0.75  % Terminating...
% 0.57/0.77  % Runner terminated.
% 0.57/0.78  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------