TSTP Solution File: SYO102^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO102^5 : 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.UZay86eg9w 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 : Fri Sep  1 05:49:44 EDT 2023

% Result   : Theorem 0.22s 0.82s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   30 (   7 unt;   4 typ;   0 def)
%            Number of atoms       :   96 (   0 equ;   0 cnn)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  250 (  14   ~;   7   |;  21   &; 166   @)
%                                         (   0 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   5 con; 0-2 aty)
%                                         (  24  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   56 (  24   ^;  32   !;   0   ?;  56   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk3_type',type,
    '#sk3': $i ).

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

thf('#sk1_type',type,
    '#sk1': $i ).

thf('#sk2_type',type,
    '#sk2': $i ).

thf(cTHM101,conjecture,
    ( ( ! [Xx: $i,Xy: $i,Xz: $i] :
          ( ( ( cP @ Xz @ Xy )
            & ( cP @ Xx @ Xy ) )
         => ( cP @ Xx @ Xz ) )
      & ! [Xx: $i] : ( cP @ Xx @ Xx ) )
   => ! [Xu: $i,Xv: $i,Xw: $i] :
        ( ( ( cP @ Xv @ Xw )
          & ( cP @ Xu @ Xv ) )
       => ( cP @ Xu @ Xw ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [Xx: $i,Xy: $i,Xz: $i] :
            ( ( ( cP @ Xz @ Xy )
              & ( cP @ Xx @ Xy ) )
           => ( cP @ Xx @ Xz ) )
        & ! [Xx: $i] : ( cP @ Xx @ Xx ) )
     => ! [Xu: $i,Xv: $i,Xw: $i] :
          ( ( ( cP @ Xv @ Xw )
            & ( cP @ Xu @ Xv ) )
         => ( cP @ Xu @ Xw ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM101]) ).

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

thf(zip_derived_cl2,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( !!
              @ ^ [Y2: $i] :
                  ( ( ( cP @ Y1 @ Y2 )
                    & ( cP @ Y0 @ Y1 ) )
                 => ( cP @ Y0 @ Y2 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl5,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( ( cP @ Y0 @ Y1 )
                & ( cP @ '#sk1' @ Y0 ) )
             => ( cP @ '#sk1' @ Y1 ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl8,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( ( ( cP @ '#sk2' @ Y0 )
            & ( cP @ '#sk1' @ '#sk2' ) )
         => ( cP @ '#sk1' @ Y0 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl10,plain,
    ~ ( ( ( cP @ '#sk2' @ '#sk3' )
        & ( cP @ '#sk1' @ '#sk2' ) )
     => ( cP @ '#sk1' @ '#sk3' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl13,plain,
    ~ ( cP @ '#sk1' @ '#sk3' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl12,plain,
    ( ( cP @ '#sk2' @ '#sk3' )
    & ( cP @ '#sk1' @ '#sk2' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl16,plain,
    cP @ '#sk1' @ '#sk2',
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl12]) ).

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

thf(zip_derived_cl4,plain,
    ( !!
    @ ^ [Y0: $i] : ( cP @ Y0 @ Y0 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $i] : ( cP @ X2 @ X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl15,plain,
    cP @ '#sk2' @ '#sk3',
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl3,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( !!
            @ ^ [Y2: $i] :
                ( ( ( cP @ Y2 @ Y1 )
                  & ( cP @ Y0 @ Y1 ) )
               => ( cP @ Y0 @ Y2 ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( ( cP @ Y1 @ Y0 )
                & ( cP @ X2 @ Y0 ) )
             => ( cP @ X2 @ Y1 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl9,plain,
    ! [X2: $i,X4: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( ( cP @ Y0 @ X4 )
            & ( cP @ X2 @ X4 ) )
         => ( cP @ X2 @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl11,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ( ( cP @ X6 @ X4 )
        & ( cP @ X2 @ X4 ) )
     => ( cP @ X2 @ X6 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl14,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( ( cP @ X6 @ X4 )
          & ( cP @ X2 @ X4 ) )
      | ( cP @ X2 @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl17,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( cP @ X6 @ X4 )
      | ~ ( cP @ X2 @ X4 )
      | ( cP @ X2 @ X6 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i] :
      ( ( cP @ X0 @ '#sk2' )
      | ~ ( cP @ X0 @ '#sk3' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl17]) ).

thf(zip_derived_cl31,plain,
    cP @ '#sk3' @ '#sk2',
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl18]) ).

thf(zip_derived_cl17_001,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( cP @ X6 @ X4 )
      | ~ ( cP @ X2 @ X4 )
      | ( cP @ X2 @ X6 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i] :
      ( ( cP @ X0 @ '#sk3' )
      | ~ ( cP @ X0 @ '#sk2' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl17]) ).

thf(zip_derived_cl49,plain,
    cP @ '#sk1' @ '#sk3',
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl34]) ).

thf(zip_derived_cl54,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYO102^5 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UZay86eg9w true
% 0.14/0.35  % Computer : n019.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 : Sat Aug 26 04:28:58 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
% 0.21/0.35  % Number of cores: 8
% 0.21/0.36  % Python version: Python 3.6.8
% 0.21/0.36  % Running in HO mode
% 0.22/0.68  % Total configuration time : 828
% 0.22/0.68  % Estimated wc time : 1656
% 0.22/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.82  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.22/0.82  % Solved by lams/35_full_unif4.sh.
% 0.22/0.82  % done 22 iterations in 0.017s
% 0.22/0.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.82  % SZS output start Refutation
% See solution above
% 0.22/0.82  
% 0.22/0.82  
% 0.22/0.82  % Terminating...
% 0.99/0.87  % Runner terminated.
% 1.93/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------