TSTP Solution File: SEU652^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU652^2 : 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.QgzlnE45C3 true

% Computer : n013.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 19:15:33 EDT 2023

% Result   : Theorem 0.21s 0.76s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   31 (  17 unt;   9 typ;   0 def)
%            Number of atoms       :   52 (  23 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  138 (   4   ~;   2   |;   0   &; 116   @)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :   41 (   0   ^;  41   !;   0   ?;  41   :)

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

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

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

thf(secondinupair_type,type,
    secondinupair: $o ).

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

thf(sk__8_type,type,
    sk__8: $i ).

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

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

thf(sk__7_type,type,
    sk__7: $i ).

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

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

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

thf('1',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('2',plain,
    ( setadjoinIL
    = ( ! [X4: $i,X6: $i] : ( in @ X4 @ ( setadjoin @ X4 @ X6 ) ) ) ),
    define([status(thm)]) ).

thf(upairequniteq,conjecture,
    ( setadjoinIL
   => ( uniqinunit
     => ( secondinupair
       => ! [Xx: $i,Xy: $i,Xz: $i] :
            ( ( ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) )
              = ( setadjoin @ Xz @ 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] : ( in @ X14 @ ( setadjoin @ X12 @ ( setadjoin @ X14 @ emptyset ) ) )
       => ! [X16: $i,X18: $i,X20: $i] :
            ( ( ( setadjoin @ X16 @ ( setadjoin @ X18 @ emptyset ) )
              = ( setadjoin @ X20 @ emptyset ) )
           => ( X16 = X18 ) ) ) ) ) ).

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] : ( in @ X14 @ ( setadjoin @ X12 @ ( setadjoin @ X14 @ emptyset ) ) )
         => ! [X16: $i,X18: $i,X20: $i] :
              ( ( ( setadjoin @ X16 @ ( setadjoin @ X18 @ emptyset ) )
                = ( setadjoin @ X20 @ emptyset ) )
             => ( X16 = X18 ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ! [X4: $i,X5: $i] :
      ( ( X5 = X4 )
      | ~ ( in @ X5 @ ( setadjoin @ X4 @ emptyset ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3,plain,
    ( ( setadjoin @ sk__6 @ ( setadjoin @ sk__7 @ emptyset ) )
    = ( setadjoin @ sk__8 @ 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_cl5,plain,
    in @ sk__6 @ ( setadjoin @ sk__8 @ emptyset ),
    inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).

thf(zip_derived_cl4_001,plain,
    ! [X4: $i,X5: $i] :
      ( ( X5 = X4 )
      | ~ ( in @ X5 @ ( setadjoin @ X4 @ emptyset ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3_002,plain,
    ( ( setadjoin @ sk__6 @ ( setadjoin @ sk__7 @ emptyset ) )
    = ( setadjoin @ sk__8 @ emptyset ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ! [X2: $i,X3: $i] : ( in @ X2 @ ( setadjoin @ X3 @ ( setadjoin @ X2 @ emptyset ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7,plain,
    in @ sk__7 @ ( setadjoin @ sk__8 @ emptyset ),
    inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).

thf(zip_derived_cl9,plain,
    sk__7 = sk__8,
    inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl7]) ).

thf(zip_derived_cl22,plain,
    in @ sk__6 @ ( setadjoin @ sk__7 @ emptyset ),
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl9]) ).

thf(zip_derived_cl25,plain,
    sk__6 = sk__7,
    inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl22]) ).

thf(zip_derived_cl2,plain,
    sk__6 != sk__7,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl28,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl25,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU652^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QgzlnE45C3 true
% 0.13/0.35  % Computer : n013.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Aug 23 17:02:47 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.21/0.36  % Running in HO mode
% 0.21/0.68  % Total configuration time : 828
% 0.21/0.68  % Estimated wc time : 1656
% 0.21/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76  % Solved by lams/40_c.s.sh.
% 0.21/0.76  % done 11 iterations in 0.011s
% 0.21/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.76  % SZS output start Refutation
% See solution above
% 0.21/0.76  
% 0.21/0.76  
% 0.21/0.76  % Terminating...
% 0.21/0.87  % Runner terminated.
% 1.66/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------