TSTP Solution File: SET592^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET592^5 : 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.K4JQPeUPzG true

% Computer : n025.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 16:14:47 EDT 2023

% Result   : Theorem 0.20s 0.76s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   31 (  11 unt;   5 typ;   0 def)
%            Number of atoms       :  105 (  18 equ;   0 cnn)
%            Maximal formula atoms :    8 (   4 avg)
%            Number of connectives :  172 (  13   ~;   3   |;  25   &;  89   @)
%                                         (   0 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   4 usr;   3 con; 0-2 aty)
%                                         (  18  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   63 (  46   ^;  17   !;   0   ?;  63   :)

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

thf('#sk4_type',type,
    '#sk4': a ).

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

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

thf('#sk3_type',type,
    '#sk3': a > $o ).

thf(cBOOL_PROP_51_pme,conjecture,
    ! [X: a > $o,Y: a > $o,Z: a > $o] :
      ( ( ( ( ^ [Xx: a] :
                ( ( Z @ Xx )
                & ( Y @ Xx ) ) )
          = ( ^ [Xx: a] : $false ) )
        & ! [Xx: a] :
            ( ( X @ Xx )
           => ( Z @ Xx ) )
        & ! [Xx: a] :
            ( ( X @ Xx )
           => ( Y @ Xx ) ) )
     => ( X
        = ( ^ [Xx: a] : $false ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: a > $o,Y: a > $o,Z: a > $o] :
        ( ( ( ( ^ [Xx: a] :
                  ( ( Z @ Xx )
                  & ( Y @ Xx ) ) )
            = ( ^ [Xx: a] : $false ) )
          & ! [Xx: a] :
              ( ( X @ Xx )
             => ( Z @ Xx ) )
          & ! [Xx: a] :
              ( ( X @ Xx )
             => ( Y @ Xx ) ) )
       => ( X
          = ( ^ [Xx: a] : $false ) ) ),
    inference('cnf.neg',[status(esa)],[cBOOL_PROP_51_pme]) ).

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

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

thf(zip_derived_cl2,plain,
    ~ ( !!
      @ ^ [Y0: a > $o] :
          ( ( ( ( ^ [Y1: a] :
                    ( ( Y0 @ Y1 )
                    & ( '#sk2' @ Y1 ) ) )
              = ( ^ [Y1: a] : $false ) )
            & ( !!
              @ ^ [Y1: a] :
                  ( ( '#sk1' @ Y1 )
                 => ( Y0 @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: a] :
                  ( ( '#sk1' @ Y1 )
                 => ( '#sk2' @ Y1 ) ) ) )
         => ( '#sk1'
            = ( ^ [Y1: a] : $false ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ~ ( ( ( ( ^ [Y0: a] :
                ( ( '#sk3' @ Y0 )
                & ( '#sk2' @ Y0 ) ) )
          = ( ^ [Y0: a] : $false ) )
        & ( !!
          @ ^ [Y0: a] :
              ( ( '#sk1' @ Y0 )
             => ( '#sk3' @ Y0 ) ) )
        & ( !!
          @ ^ [Y0: a] :
              ( ( '#sk1' @ Y0 )
             => ( '#sk2' @ Y0 ) ) ) )
     => ( '#sk1'
        = ( ^ [Y0: a] : $false ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl5,plain,
    ( '#sk1'
   != ( ^ [Y0: a] : $false ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl9,plain,
    ( '#sk1'
   != ( ^ [Y0: a] : $false ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl15,plain,
    '#sk1' @ '#sk4',
    inference(neg_ext,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl4,plain,
    ( ( ( ^ [Y0: a] :
            ( ( '#sk3' @ Y0 )
            & ( '#sk2' @ Y0 ) ) )
      = ( ^ [Y0: a] : $false ) )
    & ( !!
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 )
         => ( '#sk3' @ Y0 ) ) )
    & ( !!
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 )
         => ( '#sk2' @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    ( !!
    @ ^ [Y0: a] :
        ( ( '#sk1' @ Y0 )
       => ( '#sk3' @ Y0 ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl11,plain,
    ! [X2: a] :
      ( ( '#sk1' @ X2 )
     => ( '#sk3' @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl13,plain,
    ! [X2: a] :
      ( ~ ( '#sk1' @ X2 )
      | ( '#sk3' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl16,plain,
    '#sk3' @ '#sk4',
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl13]) ).

thf(zip_derived_cl6,plain,
    ( ( ^ [Y0: a] :
          ( ( '#sk3' @ Y0 )
          & ( '#sk2' @ Y0 ) ) )
    = ( ^ [Y0: a] : $false ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl10,plain,
    ( ( ^ [Y0: a] :
          ( ( '#sk3' @ Y0 )
          & ( '#sk2' @ Y0 ) ) )
    = ( ^ [Y0: a] : $false ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl18,plain,
    ! [X1: a] :
      ( ( ^ [Y0: a] :
            ( ( '#sk3' @ Y0 )
            & ( '#sk2' @ Y0 ) )
        @ X1 )
      = ( ^ [Y0: a] : $false
        @ X1 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl19,plain,
    ! [X1: a] :
      ~ ( ( '#sk3' @ X1 )
        & ( '#sk2' @ X1 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl20,plain,
    ! [X1: a] :
      ( ~ ( '#sk3' @ X1 )
      | ~ ( '#sk2' @ X1 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl21,plain,
    ~ ( '#sk2' @ '#sk4' ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl20]) ).

thf(zip_derived_cl15_001,plain,
    '#sk1' @ '#sk4',
    inference(neg_ext,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl8,plain,
    ( !!
    @ ^ [Y0: a] :
        ( ( '#sk1' @ Y0 )
       => ( '#sk2' @ Y0 ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl12,plain,
    ! [X2: a] :
      ( ( '#sk1' @ X2 )
     => ( '#sk2' @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl14,plain,
    ! [X2: a] :
      ( ~ ( '#sk1' @ X2 )
      | ( '#sk2' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl23,plain,
    '#sk2' @ '#sk4',
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl14]) ).

thf(zip_derived_cl25,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl23]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET592^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.K4JQPeUPzG true
% 0.13/0.35  % Computer : n025.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 11:50:38 EDT 2023
% 0.20/0.35  % CPUTime  : 
% 0.20/0.35  % Running portfolio for 300 s
% 0.20/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.35  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.35  % Running in HO mode
% 0.20/0.66  % Total configuration time : 828
% 0.20/0.66  % Estimated wc time : 1656
% 0.20/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.76  % Solved by lams/35_full_unif4.sh.
% 0.20/0.76  % done 10 iterations in 0.011s
% 0.20/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.76  % SZS output start Refutation
% See solution above
% 0.20/0.76  
% 0.20/0.76  
% 0.20/0.76  % Terminating...
% 1.20/0.86  % Runner terminated.
% 1.20/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------