%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU148+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TEFeIMDAwu 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 19:10:46 EDT 2023

% Result   : Theorem 0.86s 0.73s
% Output   : Refutation 0.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   27 (   7 unt;   6 typ;   0 def)
%            Number of atoms       :   43 (  32 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   95 (  17   ~;  17   |;   0   &;  56   @)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   30 (   0   ^;  30   !;   0   ?;  30   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__4_type,type,
    sk__4: $i ).

thf(empty_set_type,type,
    empty_set: $i ).

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

thf(sk__3_type,type,
    sk__3: $i ).

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

thf(subset_type,type,
    subset: $i > $i > $o ).

thf(t6_zfmisc_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( subset @ ( singleton @ A ) @ ( singleton @ B ) )
     => ( A = B ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( subset @ ( singleton @ A ) @ ( singleton @ B ) )
       => ( A = B ) ),
    inference('cnf.neg',[status(esa)],[t6_zfmisc_1]) ).

thf(zip_derived_cl13,plain,
    subset @ ( singleton @ sk__3 ) @ ( singleton @ sk__4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(l4_zfmisc_1,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ ( singleton @ B ) )
    <=> ( ( A = empty_set )
        | ( A
          = ( singleton @ B ) ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
        = ( singleton @ X0 ) )
      | ( X1 = empty_set )
      | ~ ( subset @ X1 @ ( singleton @ X0 ) ) ),
    inference(cnf,[status(esa)],[l4_zfmisc_1]) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( singleton @ sk__3 )
       != X0 )
      | ( ( singleton @ sk__4 )
       != ( singleton @ X1 ) )
      | ( X0 = empty_set )
      | ( X0
        = ( singleton @ X1 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl13,zip_derived_cl7]) ).

thf(zip_derived_cl55,plain,
    ! [X0: $i] :
      ( ( ( singleton @ sk__3 )
        = ( singleton @ X0 ) )
      | ( ( singleton @ sk__3 )
        = empty_set )
      | ( ( singleton @ sk__4 )
       != ( singleton @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl47]) ).

thf(l1_zfmisc_1,axiom,
    ! [A: $i] :
      ( ( singleton @ A )
     != empty_set ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ( singleton @ X0 )
     != empty_set ),
    inference(cnf,[status(esa)],[l1_zfmisc_1]) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i] :
      ( ( ( singleton @ sk__3 )
        = ( singleton @ X0 ) )
      | ( ( singleton @ sk__4 )
       != ( singleton @ X0 ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl55,zip_derived_cl6]) ).

thf(zip_derived_cl57,plain,
    ( ( singleton @ sk__3 )
    = ( singleton @ sk__4 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl56]) ).

thf(d1_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( B
        = ( singleton @ A ) )
    <=> ! [C: $i] :
          ( ( in @ C @ B )
        <=> ( C = A ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 != X0 )
      | ( in @ X1 @ X2 )
      | ( X2
       != ( singleton @ X0 ) ) ),
    inference(cnf,[status(esa)],[d1_tarski]) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
       != ( singleton @ X1 ) )
      | ( in @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( X0 = X2 )
      | ( X1
       != ( singleton @ X2 ) ) ),
    inference(cnf,[status(esa)],[d1_tarski]) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ ( in @ X0 @ ( singleton @ X1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl75,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( singleton @ X0 )
       != ( singleton @ X1 ) )
      | ( X1 = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl65]) ).

thf(zip_derived_cl78,plain,
    ! [X0: $i] :
      ( ( ( singleton @ sk__3 )
       != ( singleton @ X0 ) )
      | ( X0 = sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl75]) ).

thf(zip_derived_cl85,plain,
    sk__3 = sk__4,
    inference(eq_res,[status(thm)],[zip_derived_cl78]) ).

thf(zip_derived_cl14,plain,
    sk__3 != sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl86,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl85,zip_derived_cl14]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU148+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TEFeIMDAwu true
% 0.13/0.35  % Computer : n006.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 16:33:38 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
% 0.13/0.36  % Running in FO mode
% 0.20/0.66  % Total configuration time : 435
% 0.20/0.66  % Estimated wc time : 1092
% 0.20/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.86/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.86/0.73  % Solved by fo/fo6_bce.sh.
% 0.86/0.73  % BCE start: 15
% 0.86/0.73  % BCE eliminated: 3
% 0.86/0.73  % PE start: 12
% 0.86/0.73  logic: eq
% 0.86/0.73  % PE eliminated: 2
% 0.86/0.73  % done 31 iterations in 0.013s
% 0.86/0.73  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.86/0.73  % SZS output start Refutation
% See solution above
% 0.86/0.73  
% 0.86/0.73  
% 0.86/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.86/0.73  % Terminating...
% 0.86/0.76  % Runner terminated.
% 0.86/0.77  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------