TSTP Solution File: SYO024^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO024^1 : 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.HIO8XM9ajb true

% Computer : n020.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 05:49:15 EDT 2023

% Result   : Theorem 0.19s 0.76s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   23 (  12 unt;   4 typ;   0 def)
%            Number of atoms       :   53 (   7 equ;  19 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   89 (  34   ~;  14   |;   8   &;  28   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   36 (  36   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   4 usr;   5 con; 0-2 aty)
%            Number of variables   :   25 (  20   ^;   5   !;   0   ?;  25   :)

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

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

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

thf(sk__1_type,type,
    sk__1: ( $o > $o > $o ) > $o ).

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

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

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

thf(conj,conjecture,
    ( leibeq @ (&)
    @ ^ [X: $o,Y: $o] :
        ~ ( ~ X
          | ~ Y ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: ( $o > $o > $o ) > $o] :
      ( ( X4 @ (&) )
     => ( X4
        @ ^ [V_1: $o,V_2: $o] :
            ~ ( ~ V_2
              | ~ V_1 ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: ( $o > $o > $o ) > $o] :
        ( ( X4 @ (&) )
       => ( X4
          @ ^ [V_1: $o,V_2: $o] :
              ~ ( ~ V_2
                | ~ V_1 ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    sk__1 @ (&),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ~ ( sk__1
      @ ^ [Y0: $o,Y1: $o] :
          ( (~)
          @ ( ( (~) @ Y1 )
            | ( (~) @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    ( ( ^ [Y0: $o,Y1: $o] :
          ( Y0
          & Y1 ) )
   != ( ^ [Y0: $o,Y1: $o] :
          ( (~)
          @ ( ( (~) @ Y1 )
            | ( (~) @ Y0 ) ) ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ( (&)
   != ( ^ [Y0: $o,Y1: $o] :
          ( (~)
          @ ( ( (~) @ Y1 )
            | ( (~) @ Y0 ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    ( ( '#sk1'
      & '#sk2' )
   != ( (~)
      @ ( ( (~) @ '#sk2' )
        | ( (~) @ '#sk1' ) ) ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    ( ( '#sk1'
      & '#sk2' )
    = ( ( (~) @ '#sk2' )
      | ( (~) @ '#sk1' ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl13,plain,
    ( ~ '#sk2'
    | ~ '#sk1'
    | ~ '#sk1'
    | ~ '#sk2' ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl18,plain,
    ( ~ '#sk1'
    | ~ '#sk2' ),
    inference(simplify,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl16,plain,
    ( '#sk1'
    | '#sk1' ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl20,plain,
    '#sk1',
    inference(simplify,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl15,plain,
    ( '#sk2'
    | '#sk2' ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl19,plain,
    '#sk2',
    inference(simplify,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl21,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl20,zip_derived_cl19]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO024^1 : 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.HIO8XM9ajb true
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 05:53:30 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.19/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.34  % Number of cores: 8
% 0.19/0.34  % Python version: Python 3.6.8
% 0.19/0.35  % Running in HO mode
% 0.19/0.65  % Total configuration time : 828
% 0.19/0.65  % Estimated wc time : 1656
% 0.19/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.19/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.19/0.73  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.19/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.19/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.19/0.75  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.19/0.76  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.19/0.76  % Solved by lams/40_c.s.sh.
% 0.19/0.76  % done 6 iterations in 0.009s
% 0.19/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.19/0.76  % SZS output start Refutation
% See solution above
% 0.19/0.76  
% 0.19/0.76  
% 0.19/0.76  % Terminating...
% 1.38/0.84  % Runner terminated.
% 1.38/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------