TSTP Solution File: SEV257^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV257^5 : 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.hzCmfX1dmS true

% Computer : n002.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 0.17s 0.76s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   1 unt;   2 typ;   0 def)
%            Number of atoms       :   64 (   0 equ;   0 cnn)
%            Maximal formula atoms :   14 (   6 avg)
%            Number of connectives :  143 (   3   ~;   0   |;  23   &;  79   @)
%                                         (   0 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   8 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   36 (  36   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   1 usr;   4 con; 0-1 aty)
%                                         (  12  !!;   5  ??;   0 @@+;   0 @@-)
%            Number of variables   :   48 (  37   ^;   9   !;   2   ?;  48   :)

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

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

thf(cTHM625_pme,conjecture,
    ( ( ! [Y: a > $o,Z: a > $o] :
          ( ( ( cOPEN @ Z )
            & ( cOPEN @ Y ) )
         => ( cOPEN
            @ ^ [Xx: a] :
                ( ( Z @ Xx )
                & ( Y @ Xx ) ) ) )
      & ! [K: ( a > $o ) > $o] :
          ( ! [Xx: a > $o] :
              ( ( K @ Xx )
             => ( cOPEN @ Xx ) )
         => ( cOPEN
            @ ^ [Xx: a] :
              ? [S: a > $o] :
                ( ( K @ S )
                & ( S @ Xx ) ) ) )
      & ( cOPEN
        @ ^ [Xy: a] : $true ) )
   => ( cOPEN
      @ ^ [Xy: a] : $false ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [Y: a > $o,Z: a > $o] :
            ( ( ( cOPEN @ Z )
              & ( cOPEN @ Y ) )
           => ( cOPEN
              @ ^ [Xx: a] :
                  ( ( Z @ Xx )
                  & ( Y @ Xx ) ) ) )
        & ! [K: ( a > $o ) > $o] :
            ( ! [Xx: a > $o] :
                ( ( K @ Xx )
               => ( cOPEN @ Xx ) )
           => ( cOPEN
              @ ^ [Xx: a] :
                ? [S: a > $o] :
                  ( ( K @ S )
                  & ( S @ Xx ) ) ) )
        & ( cOPEN
          @ ^ [Xy: a] : $true ) )
     => ( cOPEN
        @ ^ [Xy: a] : $false ) ),
    inference('cnf.neg',[status(esa)],[cTHM625_pme]) ).

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

thf(zip_derived_cl4,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_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl10,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_cl4]) ).

thf(zip_derived_cl12,plain,
    ( ( !!
      @ ^ [Y0: a > $o] :
          ( $false
         => ( cOPEN @ Y0 ) ) )
   => ( cOPEN
      @ ^ [Y0: a] :
          ( ??
          @ ^ [Y1: a > $o] :
              ( $false
              & ( Y1 @ Y0 ) ) ) ) ),
    inference('ho.refine.early.bird',[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl44,plain,
    ( cOPEN
    @ ^ [Y0: a] : $false ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl45,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl44]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEV257^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hzCmfX1dmS true
% 0.12/0.34  % Computer : n002.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu Aug 24 03:40:46 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in HO mode
% 0.17/0.58  % Total configuration time : 828
% 0.17/0.58  % Estimated wc time : 1656
% 0.17/0.58  % Estimated cpu time (8 cpus) : 207.0
% 0.17/0.68  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.17/0.69  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.17/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.17/0.69  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.17/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.17/0.69  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.17/0.69  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.17/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.17/0.76  % Solved by lams/30_sp5.sh.
% 0.17/0.76  % done 0 iterations in 0.030s
% 0.17/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.17/0.76  % SZS output start Refutation
% See solution above
% 0.17/0.76  
% 0.17/0.76  
% 0.17/0.76  % Terminating...
% 1.66/0.86  % Runner terminated.
% 1.66/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------