TSTP Solution File: SYO030^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO030^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.cCrGC7arIh true

% Computer : n021.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 05:49:17 EDT 2023

% Result   : Theorem 1.73s 0.96s
% Output   : Refutation 1.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   18 (   7 unt;   2 typ;   0 def)
%            Number of atoms       :   37 (   6 equ;   6 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   92 (  10   ~;   1   |;   0   &;  63   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   27 (  27   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   2 usr;   4 con; 0-2 aty)
%                                         (   5  !!;   3  ??;   0 @@+;   0 @@-)
%            Number of variables   :   36 (  15   ^;  18   !;   3   ?;  36   :)

% Comments : 
%------------------------------------------------------------------------------
thf(leibeq_type,type,
    leibeq: $o > $o > $o ).

thf('#sk19_type',type,
    '#sk19': ( $o > $o ) > $o ).

thf(leibeq,axiom,
    ( leibeq
    = ( ^ [X: $o,Y: $o] :
        ! [P: $o > $o] :
          ( ( P @ X )
         => ( P @ Y ) ) ) ) ).

thf('0',plain,
    ( leibeq
    = ( ^ [X: $o,Y: $o] :
        ! [P: $o > $o] :
          ( ( P @ X )
         => ( P @ Y ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[leibeq]) ).

thf('1',plain,
    ( leibeq
    = ( ^ [V_1: $o,V_2: $o] :
        ! [X4: $o > $o] :
          ( ( X4 @ V_1 )
         => ( X4 @ V_2 ) ) ) ),
    define([status(thm)]) ).

thf(conj,conjecture,
    ~ ! [F: $o > $o] :
      ? [X: $o] : ( leibeq @ ( F @ X ) @ X ) ).

thf(zf_stmt_0,conjecture,
    ~ ! [X4: $o > $o] :
      ? [X6: $o] :
      ! [X8: $o > $o] :
        ( ( X8 @ ( X4 @ X6 ) )
       => ( X8 @ X6 ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ! [X4: $o > $o] :
    ? [X6: $o] :
    ! [X8: $o > $o] :
      ( ( X8 @ ( X4 @ X6 ) )
     => ( X8 @ X6 ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ( !!
    @ ^ [Y0: $o > $o] :
        ( ??
        @ ^ [Y1: $o] :
            ( !!
            @ ^ [Y2: $o > $o] :
                ( ( Y2 @ ( Y0 @ Y1 ) )
               => ( Y2 @ Y1 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ! [X2: $o > $o] :
      ( ??
      @ ^ [Y0: $o] :
          ( !!
          @ ^ [Y1: $o > $o] :
              ( ( Y1 @ ( X2 @ Y0 ) )
             => ( Y1 @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $o > $o] :
      ( ??
      @ ^ [Y0: $o] :
          ( !!
          @ ^ [Y1: $o > $o] :
              ( ( Y1 @ ( (~) @ ( X0 @ Y0 ) ) )
             => ( Y1 @ Y0 ) ) ) ),
    inference('ho.refine.early.bird',[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $o > $o] :
      ( !!
      @ ^ [Y0: $o > $o] :
          ( ( Y0 @ ( (~) @ ( X0 @ ( '#sk19' @ X0 ) ) ) )
         => ( Y0 @ ( '#sk19' @ X0 ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl28,plain,
    ! [X0: $o > $o,X2: $o > $o] :
      ( ( X2 @ ( (~) @ ( X0 @ ( '#sk19' @ X0 ) ) ) )
     => ( X2 @ ( '#sk19' @ X0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $o > $o,X2: $o > $o] :
      ( ~ ( X2 @ ( (~) @ ( X0 @ ( '#sk19' @ X0 ) ) ) )
      | ( X2 @ ( '#sk19' @ X0 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl326,plain,
    ! [X0: $o > $o] :
      ( ^ [Y0: $o] :
          ( Y0
          = ( (~) @ ( X0 @ ( '#sk19' @ X0 ) ) ) )
      @ ( '#sk19' @ X0 ) ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl331,plain,
    ! [X0: $o > $o] :
      ( ( '#sk19' @ X0 )
      = ( (~) @ ( X0 @ ( '#sk19' @ X0 ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl326]) ).

thf(zip_derived_cl332,plain,
    ! [X0: $o > $o] :
      ( ( '#sk19' @ X0 )
     != ( X0 @ ( '#sk19' @ X0 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl331]) ).

thf(zip_derived_cl346,plain,
    $false,
    inference(eq_res,[status(thm)],[zip_derived_cl332]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO030^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.cCrGC7arIh true
% 0.13/0.33  % Computer : n021.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Sat Aug 26 08:13:26 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.13/0.33  % Running portfolio for 300 s
% 0.13/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in HO mode
% 0.20/0.63  % Total configuration time : 828
% 0.20/0.63  % Estimated wc time : 1656
% 0.20/0.63  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.70  % /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
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.73/0.96  % Solved by lams/30_sp5.sh.
% 1.73/0.96  % done 43 iterations in 0.161s
% 1.73/0.96  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.73/0.96  % SZS output start Refutation
% See solution above
% 1.73/0.96  
% 1.73/0.96  
% 1.73/0.96  % Terminating...
% 2.07/1.04  % Runner terminated.
% 2.07/1.06  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------