%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET082+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.soLxN2dPRg true

% Computer : n010.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 16:12:31 EDT 2023

% Result   : Theorem 0.21s 0.75s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   27 (   6 unt;   8 typ;   0 def)
%            Number of atoms       :   39 (  21 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   87 (  10   ~;  13   |;   3   &;  57   @)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   21 (   0   ^;  20   !;   1   ?;  21   :)

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

thf(disjoint_type,type,
    disjoint: $i > $i > $o ).

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

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

thf(singleton_type,type,
    singleton: $i > $i ).

thf(null_class_type,type,
    null_class: $i ).

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

thf(unordered_pair_type,type,
    unordered_pair: $i > $i > $i ).

thf(singleton_is_null_class,conjecture,
    ! [X: $i] :
      ( ~ ( member @ X @ universal_class )
     => ( ( singleton @ X )
        = null_class ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i] :
        ( ~ ( member @ X @ universal_class )
       => ( ( singleton @ X )
          = null_class ) ),
    inference('cnf.neg',[status(esa)],[singleton_is_null_class]) ).

thf(zip_derived_cl89,plain,
    ~ ( member @ sk__7 @ universal_class ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(regularity,axiom,
    ! [X: $i] :
      ( ( X != null_class )
     => ? [U: $i] :
          ( ( disjoint @ U @ X )
          & ( member @ U @ X )
          & ( member @ U @ universal_class ) ) ) ).

thf(zip_derived_cl84,plain,
    ! [X0: $i] :
      ( ( member @ ( sk__5 @ X0 ) @ X0 )
      | ( X0 = null_class ) ),
    inference(cnf,[status(esa)],[regularity]) ).

thf(singleton_set_defn,axiom,
    ! [X: $i] :
      ( ( singleton @ X )
      = ( unordered_pair @ X @ X ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] :
      ( ( singleton @ X0 )
      = ( unordered_pair @ X0 @ X0 ) ),
    inference(cnf,[status(esa)],[singleton_set_defn]) ).

thf(unordered_pair_defn,axiom,
    ! [U: $i,X: $i,Y: $i] :
      ( ( member @ U @ ( unordered_pair @ X @ Y ) )
    <=> ( ( member @ U @ universal_class )
        & ( ( U = X )
          | ( U = Y ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X0 )
      | ( X1 = X2 )
      | ~ ( member @ X1 @ ( unordered_pair @ X2 @ X0 ) ) ),
    inference(cnf,[status(esa)],[unordered_pair_defn]) ).

thf(zip_derived_cl448,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ( X1 = X0 )
      | ~ ( member @ X1 @ ( singleton @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl8]) ).

thf(zip_derived_cl449,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ X1 @ ( singleton @ X0 ) )
      | ( X1 = X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl448]) ).

thf(zip_derived_cl506,plain,
    ! [X0: $i] :
      ( ( ( singleton @ X0 )
        = null_class )
      | ( ( sk__5 @ ( singleton @ X0 ) )
        = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl449]) ).

thf(zip_derived_cl85,plain,
    ! [X0: $i] :
      ( ( member @ ( sk__5 @ X0 ) @ universal_class )
      | ( X0 = null_class ) ),
    inference(cnf,[status(esa)],[regularity]) ).

thf(zip_derived_cl526,plain,
    ! [X0: $i] :
      ( ( ( singleton @ X0 )
        = null_class )
      | ( member @ X0 @ universal_class )
      | ( ( singleton @ X0 )
        = null_class ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl506,zip_derived_cl85]) ).

thf(zip_derived_cl529,plain,
    ! [X0: $i] :
      ( ( member @ X0 @ universal_class )
      | ( ( singleton @ X0 )
        = null_class ) ),
    inference(simplify,[status(thm)],[zip_derived_cl526]) ).

thf(zip_derived_cl90,plain,
    ( ( singleton @ sk__7 )
   != null_class ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl537,plain,
    ( ( member @ sk__7 @ universal_class )
    | ( null_class != null_class ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl529,zip_derived_cl90]) ).

thf(zip_derived_cl538,plain,
    member @ sk__7 @ universal_class,
    inference(simplify,[status(thm)],[zip_derived_cl537]) ).

thf(zip_derived_cl539,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl538]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET082+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.soLxN2dPRg true
% 0.14/0.34  % Computer : n010.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 09:16:20 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
% 0.14/0.35  % 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
% 0.21/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % Solved by fo/fo6_bce.sh.
% 0.21/0.75  % BCE start: 91
% 0.21/0.75  % BCE eliminated: 0
% 0.21/0.75  % PE start: 91
% 0.21/0.75  logic: eq
% 0.21/0.75  % PE eliminated: 5
% 0.21/0.75  % done 78 iterations in 0.041s
% 0.21/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.75  % SZS output start Refutation
% See solution above
% 0.21/0.75  
% 0.21/0.75  
% 0.21/0.75  % Terminating...
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.28/0.84  % Runner terminated.
% 1.28/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------