TSTP Solution File: SEU641^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU641^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2gHNw81Xc5 true

% Computer : n006.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 19:15:17 EDT 2023

% Result   : Theorem 0.21s 0.77s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   21 (  10 unt;   7 typ;   0 def)
%            Number of atoms       :   36 (  18 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   77 (   3   ~;   1   |;   0   &;  60   @)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   26 (   0   ^;  26   !;   0   ?;  26   :)

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

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

thf(uniqinunit_type,type,
    uniqinunit: $o ).

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

thf(setadjoinIL_type,type,
    setadjoinIL: $o ).

thf(emptyset_type,type,
    emptyset: $i ).

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

thf(uniqinunit,axiom,
    ( uniqinunit
    = ( ! [Xx: $i,Xy: $i] :
          ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
         => ( Xx = Xy ) ) ) ) ).

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

thf(setadjoinIL,axiom,
    ( setadjoinIL
    = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ) ).

thf('1',plain,
    ( setadjoinIL
    = ( ! [X4: $i,X6: $i] : ( in @ X4 @ ( setadjoin @ X4 @ X6 ) ) ) ),
    define([status(thm)]) ).

thf(singletonsuniq,conjecture,
    ( setadjoinIL
   => ( uniqinunit
     => ! [Xx: $i,Xy: $i] :
          ( ( ( setadjoin @ Xx @ emptyset )
            = ( setadjoin @ Xy @ emptyset ) )
         => ( Xx = Xy ) ) ) ) ).

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

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i] : ( in @ X4 @ ( setadjoin @ X4 @ X6 ) )
     => ( ! [X8: $i,X10: $i] :
            ( ( in @ X8 @ ( setadjoin @ X10 @ emptyset ) )
           => ( X8 = X10 ) )
       => ! [X12: $i,X14: $i] :
            ( ( ( setadjoin @ X12 @ emptyset )
              = ( setadjoin @ X14 @ emptyset ) )
           => ( X12 = X14 ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ( ( setadjoin @ sk__4 @ emptyset )
    = ( setadjoin @ sk__5 @ emptyset ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] : ( in @ X0 @ ( setadjoin @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4,plain,
    in @ sk__5 @ ( setadjoin @ sk__4 @ emptyset ),
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $i,X3: $i] :
      ( ( X3 = X2 )
      | ~ ( in @ X3 @ ( setadjoin @ X2 @ emptyset ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl9,plain,
    sk__5 = sk__4,
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl3]) ).

thf(zip_derived_cl1,plain,
    sk__4 != sk__5,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl16,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl9,zip_derived_cl1]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU641^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2gHNw81Xc5 true
% 0.14/0.35  % Computer : n006.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 : Thu Aug 24 01:22:23 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in HO mode
% 0.21/0.67  % Total configuration time : 828
% 0.21/0.67  % Estimated wc time : 1656
% 0.21/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.77  % Solved by lams/40_c_ic.sh.
% 0.21/0.77  % done 5 iterations in 0.007s
% 0.21/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.77  % SZS output start Refutation
% See solution above
% 0.21/0.77  
% 0.21/0.77  
% 0.21/0.77  % Terminating...
% 0.21/0.86  % Runner terminated.
% 1.03/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------