TSTP Solution File: SYO304^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO304^5 : 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.6oIjD4J8MS true

% Computer : n002.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 05:50:39 EDT 2023

% Result   : Theorem 0.47s 0.73s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   27 (  14 unt;   5 typ;   0 def)
%            Number of atoms       :   36 (  24 equ;   2 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   61 (  12   ~;   7   |;   0   &;  30   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   4 usr;   5 con; 0-2 aty)
%                                         (   4  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   28 (  23   ^;   5   !;   0   ?;  28   :)

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

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

thf(sk__type,type,
    sk_: ( a > a > $o ) > $o ).

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

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

thf(cE2_eq__pme,conjecture,
    ! [Xq: ( a > a > $o ) > $o] :
      ( ( Xq
        @ ^ [X: a,Y: a] :
          ! [Xq0: a > $o] :
            ( ( Xq0 @ X )
           => ( Xq0 @ Y ) ) )
     => ( Xq
        @ ^ [X: a,Y: a] : ( X = Y ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xq: ( a > a > $o ) > $o] :
        ( ( Xq
          @ ^ [X: a,Y: a] :
            ! [Xq0: a > $o] :
              ( ( Xq0 @ X )
             => ( Xq0 @ Y ) ) )
       => ( Xq
          @ ^ [X: a,Y: a] : ( X = Y ) ) ),
    inference('cnf.neg',[status(esa)],[cE2_eq__pme]) ).

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

thf(zip_derived_cl1,plain,
    ~ ( sk_
      @ ^ [Y0: a,Y1: a] : ( Y0 = Y1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ~ ( sk_ @ (=) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ( ( ^ [Y0: a,Y1: a] :
          ( !!
          @ ^ [Y2: a > $o] :
              ( ( Y2 @ Y0 )
             => ( Y2 @ Y1 ) ) ) )
   != ( ^ [Y0: a,Y1: a] : ( Y0 = Y1 ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl0,zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    ( ( ^ [Y0: a,Y1: a] :
          ( !!
          @ ^ [Y2: a > $o] :
              ( ( Y2 @ Y0 )
             => ( Y2 @ Y1 ) ) ) )
   != (=) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl5,plain,
    ( ( !!
      @ ^ [Y0: a > $o] :
          ( ( Y0 @ '#sk1' )
         => ( Y0 @ '#sk2' ) ) )
   != ( '#sk1' = '#sk2' ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl11,plain,
    ! [X0: a > $o] :
      ( ( '#sk1' = '#sk2' )
      | ~ ( X0 @ '#sk1' )
      | ( X0 @ '#sk2' ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl14,plain,
    ( ( '#sk1' = '#sk2' )
    | ( ^ [Y0: a] : ( Y0 = '#sk1' )
      @ '#sk2' ) ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl21,plain,
    ( ( '#sk1' = '#sk2' )
    | ( '#sk2' = '#sk1' ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl22,plain,
    ( ( '#sk1' = '#sk2' )
    | ( '#sk2' = '#sk1' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl23,plain,
    '#sk1' = '#sk2',
    inference(simplify,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl12,plain,
    ( ( '#sk1' != '#sk2' )
    | ~ ( sk__1 @ '#sk2' ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl23_001,plain,
    '#sk1' = '#sk2',
    inference(simplify,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl13,plain,
    ( ( '#sk1' != '#sk2' )
    | ( sk__1 @ '#sk1' ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl23_002,plain,
    '#sk1' = '#sk2',
    inference(simplify,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl26,plain,
    sk__1 @ '#sk1',
    inference(clc,[status(thm)],[zip_derived_cl13,zip_derived_cl23]) ).

thf(zip_derived_cl27,plain,
    sk__1 @ '#sk2',
    inference('sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl26]) ).

thf(zip_derived_cl29,plain,
    '#sk1' != '#sk2',
    inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl27]) ).

thf(zip_derived_cl30,plain,
    '#sk1' != '#sk1',
    inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl29]) ).

thf(zip_derived_cl32,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl30]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : SYO304^5 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.11  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6oIjD4J8MS true
% 0.10/0.31  % Computer : n002.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Sat Aug 26 04:31:47 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.10/0.31  % Running portfolio for 300 s
% 0.10/0.31  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.32  % Number of cores: 8
% 0.10/0.32  % Python version: Python 3.6.8
% 0.10/0.32  % Running in HO mode
% 0.17/0.61  % Total configuration time : 828
% 0.17/0.61  % Estimated wc time : 1656
% 0.17/0.61  % Estimated cpu time (8 cpus) : 207.0
% 0.17/0.68  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.17/0.68  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.17/0.69  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.17/0.69  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.17/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.17/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.17/0.69  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.47/0.73  % Solved by lams/40_c_ic.sh.
% 0.47/0.73  % done 8 iterations in 0.015s
% 0.47/0.73  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.47/0.73  % SZS output start Refutation
% See solution above
% 0.47/0.73  
% 0.47/0.73  
% 0.47/0.73  % Terminating...
% 0.99/0.80  % Runner terminated.
% 0.99/0.81  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------