TSTP Solution File: SEV256^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV256^5 : 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.FCu0lQh1xu true

% Computer : n018.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 20:00:13 EDT 2023

% Result   : Theorem 1.49s 0.81s
% Output   : Refutation 1.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (   1 unt;   3 typ;   0 def)
%            Number of atoms       :   50 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  116 (   5   ~;   4   |;  10   &;  68   @)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   8 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   41 (  41   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   2 usr;   3 con; 0-2 aty)
%                                         (   6  !!;   8  ??;   0 @@+;   0 @@-)
%            Number of variables   :   42 (  32   ^;   8   !;   2   ?;  42   :)

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

thf(cOPEN_type,type,
    cOPEN: ( a > $o ) > $o ).

thf('#sk5_type',type,
    '#sk5': ( ( a > $o ) > $o ) > a > $o ).

thf(cTHM625A_pme,conjecture,
    ( ! [K: ( a > $o ) > $o] :
        ( ! [Xx: a > $o] :
            ( ( K @ Xx )
           => ( cOPEN @ Xx ) )
       => ( cOPEN
          @ ^ [Xx: a] :
            ? [S: a > $o] :
              ( ( K @ S )
              & ( S @ Xx ) ) ) )
   => ( cOPEN
      @ ^ [Xx: a] : $false ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [K: ( a > $o ) > $o] :
          ( ! [Xx: a > $o] :
              ( ( K @ Xx )
             => ( cOPEN @ Xx ) )
         => ( cOPEN
            @ ^ [Xx: a] :
              ? [S: a > $o] :
                ( ( K @ S )
                & ( S @ Xx ) ) ) )
     => ( cOPEN
        @ ^ [Xx: a] : $false ) ),
    inference('cnf.neg',[status(esa)],[cTHM625A_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( !!
        @ ^ [Y0: ( a > $o ) > $o] :
            ( ( !!
              @ ^ [Y1: a > $o] :
                  ( ( Y0 @ Y1 )
                 => ( cOPEN @ Y1 ) ) )
           => ( cOPEN
              @ ^ [Y1: a] :
                  ( ??
                  @ ^ [Y2: a > $o] :
                      ( ( Y0 @ Y2 )
                      & ( Y2 @ Y1 ) ) ) ) ) )
     => ( cOPEN
        @ ^ [Y0: a] : $false ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ~ ( cOPEN
      @ ^ [Y0: a] : $false ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl1,plain,
    ( !!
    @ ^ [Y0: ( a > $o ) > $o] :
        ( ( !!
          @ ^ [Y1: a > $o] :
              ( ( Y0 @ Y1 )
             => ( cOPEN @ Y1 ) ) )
       => ( cOPEN
          @ ^ [Y1: a] :
              ( ??
              @ ^ [Y2: a > $o] :
                  ( ( Y0 @ Y2 )
                  & ( Y2 @ Y1 ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ! [X2: ( a > $o ) > $o] :
      ( ( !!
        @ ^ [Y0: a > $o] :
            ( ( X2 @ Y0 )
           => ( cOPEN @ Y0 ) ) )
     => ( cOPEN
        @ ^ [Y0: a] :
            ( ??
            @ ^ [Y1: a > $o] :
                ( ( X2 @ Y1 )
                & ( Y1 @ Y0 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl4,plain,
    ! [X2: ( a > $o ) > $o] :
      ( ~ ( !!
          @ ^ [Y0: a > $o] :
              ( ( X2 @ Y0 )
             => ( cOPEN @ Y0 ) ) )
      | ( cOPEN
        @ ^ [Y0: a] :
            ( ??
            @ ^ [Y1: a > $o] :
                ( ( X2 @ Y1 )
                & ( Y1 @ Y0 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl5,plain,
    ! [X2: ( a > $o ) > $o] :
      ( ~ ( ( X2 @ ( '#sk5' @ X2 ) )
         => ( cOPEN @ ( '#sk5' @ X2 ) ) )
      | ( cOPEN
        @ ^ [Y0: a] :
            ( ??
            @ ^ [Y1: a > $o] :
                ( ( X2 @ Y1 )
                & ( Y1 @ Y0 ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl6,plain,
    ! [X2: ( a > $o ) > $o] :
      ( ( X2 @ ( '#sk5' @ X2 ) )
      | ( cOPEN
        @ ^ [Y0: a] :
            ( ??
            @ ^ [Y1: a > $o] :
                ( ( X2 @ Y1 )
                & ( Y1 @ Y0 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl21,plain,
    ( ( ^ [Y0: a > $o] : $false
      @ ( '#sk5'
        @ ^ [Y0: a > $o] : $false ) )
    | ( cOPEN
      @ ^ [Y0: a] :
          ( ??
          @ ^ [Y1: a > $o] :
              ( ( ^ [Y2: a > $o] : $false
                @ Y1 )
              & ( Y1 @ Y0 ) ) ) ) ),
    inference('ho.refine',[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl27,plain,
    ( cOPEN
    @ ^ [Y0: a] :
        ( ??
        @ ^ [Y1: a > $o] :
            ( $false
            & ( Y1 @ Y0 ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl28,plain,
    ( cOPEN
    @ ^ [Y0: a] : $false ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl35,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl28]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEV256^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.FCu0lQh1xu true
% 0.14/0.35  % Computer : n018.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 02:48:12 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in HO mode
% 0.22/0.69  % Total configuration time : 828
% 0.22/0.69  % Estimated wc time : 1656
% 0.22/0.69  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.49/0.81  % Solved by lams/35_full_unif4.sh.
% 1.49/0.81  % done 4 iterations in 0.033s
% 1.49/0.81  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.49/0.81  % SZS output start Refutation
% See solution above
% 1.49/0.82  
% 1.49/0.82  
% 1.49/0.82  % Terminating...
% 1.79/0.88  % Runner terminated.
% 1.83/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------