TSTP Solution File: SEV410^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV410^5 : 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.yC4pplLB66 true

% Computer : n019.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 20:00:42 EDT 2023

% Result   : Theorem 0.23s 0.82s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   20 (   2 unt;   4 typ;   0 def)
%            Number of atoms       :   55 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  123 (  15   ~;  16   |;   5   &;  71   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   4 usr;   3 con; 0-1 aty)
%                                         (   4  !!;   2  ??;   0 @@+;   0 @@-)
%            Number of variables   :   26 (  17   ^;   7   !;   2   ?;  26   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk5_type',type,
    '#sk5': ( $i > $o ) > $i ).

thf(cA_type,type,
    cA: $i > $o ).

thf(cB_type,type,
    cB: $i > $o ).

thf(cP_type,type,
    cP: ( $i > $o ) > $o ).

thf(cSV1_pme,conjecture,
    ( ( cP
      @ ^ [Xx: $i] :
          ( ( cB @ Xx )
          | ( cA @ Xx ) ) )
   => ? [Xu: $i > $o] :
        ( ( cP @ Xu )
        & ! [Xx: $i] :
            ( ( cA @ Xx )
           => ( Xu @ Xx ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( cP
        @ ^ [Xx: $i] :
            ( ( cB @ Xx )
            | ( cA @ Xx ) ) )
     => ? [Xu: $i > $o] :
          ( ( cP @ Xu )
          & ! [Xx: $i] :
              ( ( cA @ Xx )
             => ( Xu @ Xx ) ) ) ),
    inference('cnf.neg',[status(esa)],[cSV1_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( cP
        @ ^ [Y0: $i] :
            ( ( cB @ Y0 )
            | ( cA @ Y0 ) ) )
     => ( ??
        @ ^ [Y0: $i > $o] :
            ( ( cP @ Y0 )
            & ( !!
              @ ^ [Y1: $i] :
                  ( ( cA @ Y1 )
                 => ( Y0 @ Y1 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ~ ( ??
      @ ^ [Y0: $i > $o] :
          ( ( cP @ Y0 )
          & ( !!
            @ ^ [Y1: $i] :
                ( ( cA @ Y1 )
               => ( Y0 @ Y1 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $i > $o] :
      ~ ( ( cP @ X2 )
        & ( !!
          @ ^ [Y0: $i] :
              ( ( cA @ Y0 )
             => ( X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    ! [X2: $i > $o] :
      ( ~ ( cP @ X2 )
      | ~ ( !!
          @ ^ [Y0: $i] :
              ( ( cA @ Y0 )
             => ( X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $i > $o] :
      ( ~ ( ( cA @ ( '#sk5' @ X2 ) )
         => ( X2 @ ( '#sk5' @ X2 ) ) )
      | ~ ( cP @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i > $o] :
      ( ( cA @ ( '#sk5' @ X2 ) )
      | ~ ( cP @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl1,plain,
    ( cP
    @ ^ [Y0: $i] :
        ( ( cB @ Y0 )
        | ( cA @ Y0 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $i > $o] :
      ( ~ ( X2 @ ( '#sk5' @ X2 ) )
      | ~ ( cP @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl9,plain,
    ~ ( ^ [Y0: $i] :
          ( ( cB @ Y0 )
          | ( cA @ Y0 ) )
      @ ( '#sk5'
        @ ^ [Y0: $i] :
            ( ( cB @ Y0 )
            | ( cA @ Y0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl7]) ).

thf(zip_derived_cl17,plain,
    ~ ( ( cB
        @ ( '#sk5'
          @ ^ [Y0: $i] :
              ( ( cB @ Y0 )
              | ( cA @ Y0 ) ) ) )
      | ( cA
        @ ( '#sk5'
          @ ^ [Y0: $i] :
              ( ( cB @ Y0 )
              | ( cA @ Y0 ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl30,plain,
    ~ ( cA
      @ ( '#sk5'
        @ ^ [Y0: $i] :
            ( ( cB @ Y0 )
            | ( cA @ Y0 ) ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl32,plain,
    ~ ( cP
      @ ^ [Y0: $i] :
          ( ( cB @ Y0 )
          | ( cA @ Y0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl30]) ).

thf(zip_derived_cl1_001,plain,
    ( cP
    @ ^ [Y0: $i] :
        ( ( cB @ Y0 )
        | ( cA @ Y0 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl33,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl1]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SEV410^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yC4pplLB66 true
% 0.15/0.36  % Computer : n019.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu Aug 24 02:16:59 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.37  % Running in HO mode
% 0.23/0.69  % Total configuration time : 828
% 0.23/0.69  % Estimated wc time : 1656
% 0.23/0.69  % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.77  % /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
% 0.23/0.82  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.23/0.82  % Solved by lams/35_full_unif4.sh.
% 0.23/0.82  % done 7 iterations in 0.027s
% 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  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.23/0.82  % Terminating...
% 1.54/0.90  % Runner terminated.
% 1.54/0.91  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------