%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET020+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yZWB3JlXrU true

% Computer : n001.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 16:11:50 EDT 2023

% Result   : Theorem 0.21s 0.78s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   27 (  10 unt;   8 typ;   0 def)
%            Number of atoms       :   40 (  21 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  103 (  14   ~;  10   |;   8   &;  68   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^;  12   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(member_type,type,
    member: $i > $i > $o ).

thf(ordered_pair_type,type,
    ordered_pair: $i > $i > $i ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(second_type,type,
    second: $i > $i ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(first_type,type,
    first: $i > $i ).

thf(universal_class_type,type,
    universal_class: $i ).

thf(sk__type,type,
    sk_: $i ).

thf(unique_1st_and_2nd_in_pair_of_sets1,conjecture,
    ! [U: $i,V: $i,X: $i] :
      ( ( ( member @ U @ universal_class )
        & ( member @ V @ universal_class )
        & ( X
          = ( ordered_pair @ U @ V ) ) )
     => ( ( ( first @ X )
          = U )
        & ( ( second @ X )
          = V ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i,V: $i,X: $i] :
        ( ( ( member @ U @ universal_class )
          & ( member @ V @ universal_class )
          & ( X
            = ( ordered_pair @ U @ V ) ) )
       => ( ( ( first @ X )
            = U )
          & ( ( second @ X )
            = V ) ) ),
    inference('cnf.neg',[status(esa)],[unique_1st_and_2nd_in_pair_of_sets1]) ).

thf(zip_derived_cl7,plain,
    ( sk__2
    = ( ordered_pair @ sk_ @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(first_second,axiom,
    ! [X: $i,Y: $i] :
      ( ( ( member @ X @ universal_class )
        & ( member @ Y @ universal_class ) )
     => ( ( ( first @ ( ordered_pair @ X @ Y ) )
          = X )
        & ( ( second @ ( ordered_pair @ X @ Y ) )
          = Y ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ X0 @ universal_class )
      | ~ ( member @ X1 @ universal_class )
      | ( ( first @ ( ordered_pair @ X0 @ X1 ) )
        = X0 ) ),
    inference(cnf,[status(esa)],[first_second]) ).

thf(zip_derived_cl20,plain,
    ( ( ( first @ sk__2 )
      = sk_ )
    | ~ ( member @ sk__1 @ universal_class )
    | ~ ( member @ sk_ @ universal_class ) ),
    inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl4]) ).

thf(zip_derived_cl9,plain,
    member @ sk__1 @ universal_class,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,plain,
    member @ sk_ @ universal_class,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl21,plain,
    ( ( first @ sk__2 )
    = sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl9,zip_derived_cl8]) ).

thf(zip_derived_cl6,plain,
    ( ( ( first @ sk__2 )
     != sk_ )
    | ( ( second @ sk__2 )
     != sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7_001,plain,
    ( sk__2
    = ( ordered_pair @ sk_ @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ X0 @ universal_class )
      | ~ ( member @ X1 @ universal_class )
      | ( ( second @ ( ordered_pair @ X0 @ X1 ) )
        = X1 ) ),
    inference(cnf,[status(esa)],[first_second]) ).

thf(zip_derived_cl12,plain,
    ( ( ( second @ sk__2 )
      = sk__1 )
    | ~ ( member @ sk__1 @ universal_class )
    | ~ ( member @ sk_ @ universal_class ) ),
    inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl3]) ).

thf(zip_derived_cl9_002,plain,
    member @ sk__1 @ universal_class,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8_003,plain,
    member @ sk_ @ universal_class,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13,plain,
    ( ( second @ sk__2 )
    = sk__1 ),
    inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl9,zip_derived_cl8]) ).

thf(zip_derived_cl14,plain,
    ( ( ( first @ sk__2 )
     != sk_ )
    | ( sk__1 != sk__1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl13]) ).

thf(zip_derived_cl15,plain,
    ( ( first @ sk__2 )
   != sk_ ),
    inference(simplify,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl22,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl21,zip_derived_cl15]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET020+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yZWB3JlXrU true
% 0.14/0.34  % Computer : n001.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 : Sat Aug 26 15:19:45 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 FO mode
% 0.21/0.62  % Total configuration time : 435
% 0.21/0.62  % Estimated wc time : 1092
% 0.21/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.78  % Solved by fo/fo4.sh.
% 0.21/0.78  % done 13 iterations in 0.009s
% 0.21/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.78  % SZS output start Refutation
% See solution above
% 0.21/0.78  
% 0.21/0.78  
% 0.21/0.78  % Terminating...
% 0.21/0.84  % Runner terminated.
% 0.21/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------