TSTP Solution File: SEU515^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU515^2 : 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.lZ2mp0AiY8 true

% Computer : n027.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 : Thu Aug 31 19:13:28 EDT 2023

% Result   : Theorem 1.07s 0.76s
% Output   : Refutation 1.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   29 (   9 unt;   9 typ;   0 def)
%            Number of atoms       :   54 (  15 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  143 (  10   ~;  12   |;   0   &;  91   @)
%                                         (   6 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   6 con; 0-3 aty)
%            Number of variables   :   43 (   0   ^;  43   !;   0   ?;  43   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__3_type,type,
    sk__3: $i ).

thf(sk__6_type,type,
    sk__6: $o ).

thf(in_type,type,
    in: $i > $i > $o ).

thf(setadjoinAx_type,type,
    setadjoinAx: $o ).

thf(sk__4_type,type,
    sk__4: $i ).

thf(setadjoin_type,type,
    setadjoin: $i > $i > $i ).

thf(zip_tseitin_0_type,type,
    zip_tseitin_0: $i > $i > $i > $o ).

thf(sk__5_type,type,
    sk__5: $i ).

thf(setadjoinAx,axiom,
    ( setadjoinAx
    = ( ! [Xx: $i,A: $i,Xy: $i] :
          ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
        <=> ( ( Xy = Xx )
            | ( in @ Xy @ A ) ) ) ) ) ).

thf('0',plain,
    ( setadjoinAx
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) )
        <=> ( ( X8 = X4 )
            | ( in @ X8 @ X6 ) ) ) ) ),
    define([status(thm)]) ).

thf(setadjoinE,conjecture,
    ( setadjoinAx
   => ! [Xx: $i,A: $i,Xy: $i] :
        ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
       => ! [Xphi: $o] :
            ( ( ( Xy = Xx )
             => Xphi )
           => ( ( ( in @ Xy @ A )
               => Xphi )
             => Xphi ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i,X8: $i] :
        ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) )
      <=> ( ( in @ X8 @ X6 )
          | ( X8 = X4 ) ) )
   => ! [X10: $i,X12: $i,X14: $i] :
        ( ( in @ X14 @ ( setadjoin @ X10 @ X12 ) )
       => ! [X16: $o] :
            ( ( ( X14 = X10 )
             => X16 )
           => ( ( ( in @ X14 @ X12 )
               => X16 )
             => X16 ) ) ) ) ).

thf(zf_stmt_1,type,
    zip_tseitin_0: $i > $i > $i > $o ).

thf(zf_stmt_2,axiom,
    ! [X8: $i,X6: $i,X4: $i] :
      ( ( zip_tseitin_0 @ X8 @ X6 @ X4 )
    <=> ( ( X8 = X4 )
        | ( in @ X8 @ X6 ) ) ) ).

thf(zf_stmt_3,conjecture,
    ( ! [X4: $i,X6: $i,X8: $i] :
        ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) )
      <=> ( zip_tseitin_0 @ X8 @ X6 @ X4 ) )
   => ! [X10: $i,X12: $i,X14: $i] :
        ( ( in @ X14 @ ( setadjoin @ X10 @ X12 ) )
       => ! [X16: $o] :
            ( ( ( X14 = X10 )
             => X16 )
           => ( ( ( in @ X14 @ X12 )
               => X16 )
             => X16 ) ) ) ) ).

thf(zf_stmt_4,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) )
        <=> ( zip_tseitin_0 @ X8 @ X6 @ X4 ) )
     => ! [X10: $i,X12: $i,X14: $i] :
          ( ( in @ X14 @ ( setadjoin @ X10 @ X12 ) )
         => ! [X16: $o] :
              ( ( ( X14 = X10 )
               => X16 )
             => ( ( ( in @ X14 @ X12 )
                 => X16 )
               => X16 ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl7,plain,
    ( sk__6
    | ~ ( in @ sk__5 @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl6,plain,
    ~ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl10,plain,
    ~ ( in @ sk__5 @ sk__4 ),
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl6]) ).

thf(zip_derived_cl8,plain,
    in @ sk__5 @ ( setadjoin @ sk__3 @ sk__4 ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl4,plain,
    ! [X1: $i,X2: $i,X3: $i] :
      ( ( zip_tseitin_0 @ X3 @ X2 @ X1 )
      | ~ ( in @ X3 @ ( setadjoin @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( in @ X0 @ X1 )
      | ( X0 = X2 )
      | ~ ( zip_tseitin_0 @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X2 @ ( setadjoin @ X0 @ X1 ) )
      | ( X2 = X0 )
      | ( in @ X2 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).

thf(zip_derived_cl30,plain,
    ( ( in @ sk__5 @ sk__4 )
    | ( sk__5 = sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl25]) ).

thf(zip_derived_cl5,plain,
    ( sk__6
    | ( sk__5 != sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl6_001,plain,
    ~ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl9,plain,
    sk__5 != sk__3,
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl6]) ).

thf(zip_derived_cl36,plain,
    in @ sk__5 @ sk__4,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl30,zip_derived_cl9]) ).

thf(zip_derived_cl38,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl36]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU515^2 : 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.lZ2mp0AiY8 true
% 0.14/0.34  % Computer : n027.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed Aug 23 19:39:17 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.34  % Python version: Python 3.6.8
% 0.14/0.35  % Running in HO mode
% 0.21/0.62  % Total configuration time : 828
% 0.21/0.62  % Estimated wc time : 1656
% 0.21/0.62  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.07/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.07/0.75  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.07/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.07/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.07/0.76  % Solved by lams/40_c.s.sh.
% 1.07/0.76  % done 18 iterations in 0.014s
% 1.07/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.07/0.76  % SZS output start Refutation
% See solution above
% 1.07/0.76  
% 1.07/0.76  
% 1.07/0.76  % Terminating...
% 1.57/0.83  % Runner terminated.
% 1.57/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------