TSTP Solution File: SYO219^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO219^5 : 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.vZp5kWTFea true

% Computer : n010.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 05:50:20 EDT 2023

% Result   : Theorem 0.59s 0.81s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   7 unt;   3 typ;   0 def)
%            Number of atoms       :   29 (  16 equ;   1 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   64 (  12   ~;   0   |;   0   &;  38   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   23 (  23   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   3 usr;   4 con; 0-2 aty)
%                                         (   5  !!;   6  ??;   0 @@+;   0 @@-)
%            Number of variables   :   29 (  12   ^;  13   !;   4   ?;  29   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cS_type,type,
    cS: $i > $i ).

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

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

thf(cTHM6,conjecture,
    ( ! [M: $i] :
        ( ( cS @ M )
       != M )
   => ~ ? [G: $i > $i > $i] :
        ! [F: $i > $i] :
        ? [J: $i] :
          ( ( G @ J )
          = F ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [M: $i] :
          ( ( cS @ M )
         != M )
     => ~ ? [G: $i > $i > $i] :
          ! [F: $i > $i] :
          ? [J: $i] :
            ( ( G @ J )
            = F ) ),
    inference('cnf.neg',[status(esa)],[cTHM6]) ).

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

thf(zip_derived_cl4,plain,
    ( ??
    @ ^ [Y0: $i > $i > $i] :
        ( !!
        @ ^ [Y1: $i > $i] :
            ( ??
            @ ^ [Y2: $i] :
                ( ( Y0 @ Y2 )
                = Y1 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl6,plain,
    ( !!
    @ ^ [Y0: $i > $i] :
        ( ??
        @ ^ [Y1: $i] :
            ( ( '#sk1' @ Y1 )
            = Y0 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $i > $i] :
      ( ??
      @ ^ [Y0: $i] :
          ( ( '#sk1' @ Y0 )
          = X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl9,plain,
    ! [X2: $i > $i] :
      ( ( '#sk1' @ ( '#sk3' @ X2 ) )
      = X2 ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i > $i] :
      ( ( '#sk1' @ ( '#sk3' @ X2 ) )
      = X2 ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl11,plain,
    ! [X2: $i > $i,X3: $i] :
      ( ( '#sk1' @ ( '#sk3' @ X2 ) @ X3 )
      = ( X2 @ X3 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl3,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( cS @ Y0 )
       != Y0 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $i] :
      ( ( cS @ X2 )
     != X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $i] :
      ( ( cS @ X2 )
     != X2 ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i > $i] :
      ( ( '#sk1'
        @ ( '#sk3'
          @ ^ [Y0: $i] : ( cS @ ( X1 @ Y0 ) ) )
        @ X0 )
     != ( X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl7]) ).

thf(zip_derived_cl67,plain,
    $false,
    inference(eq_res,[status(thm)],[zip_derived_cl36]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO219^5 : 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.vZp5kWTFea true
% 0.14/0.35  % Computer : n010.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 04:30:35 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
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.22/0.36  % Running in HO mode
% 0.22/0.63  % Total configuration time : 828
% 0.22/0.63  % Estimated wc time : 1656
% 0.22/0.63  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.77  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.55/0.77  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.59/0.81  % Solved by lams/15_e_short1.sh.
% 0.59/0.81  % done 6 iterations in 0.042s
% 0.59/0.81  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.81  % SZS output start Refutation
% See solution above
% 0.59/0.82  
% 0.59/0.82  
% 0.59/0.82  % Terminating...
% 0.59/0.85  % Runner terminated.
% 0.59/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------