%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET927+1 : 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.LW7ZSfygBX 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 16:16:52 EDT 2023

% Result   : Theorem 0.20s 0.73s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   39 (  11 unt;   7 typ;   0 def)
%            Number of atoms       :   69 (  37 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  233 (  34   ~;  31   |;   3   &; 162   @)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   23 (   0   ^;  23   !;   0   ?;  23   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__2_type,type,
    sk__2: $i ).

thf(set_difference_type,type,
    set_difference: $i > $i > $i ).

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

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

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

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

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

thf(l39_zfmisc_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
        = ( singleton @ A ) )
    <=> ( ~ ( in @ A @ C )
        & ( ( in @ B @ C )
          | ( A = B ) ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( set_difference @ ( unordered_pair @ X0 @ X1 ) @ X2 )
        = ( singleton @ X0 ) )
      | ( X0 != X1 )
      | ( in @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[l39_zfmisc_1]) ).

thf(zip_derived_cl70,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ X1 @ X0 )
      | ( ( set_difference @ ( unordered_pair @ X1 @ X1 ) @ X0 )
        = ( singleton @ X1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl10]) ).

thf(t70_zfmisc_1,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
        = ( singleton @ A ) )
    <=> ( ~ ( in @ A @ C )
        & ( ( in @ B @ C )
          | ( A = B ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
          = ( singleton @ A ) )
      <=> ( ~ ( in @ A @ C )
          & ( ( in @ B @ C )
            | ( A = B ) ) ) ),
    inference('cnf.neg',[status(esa)],[t70_zfmisc_1]) ).

thf(zip_derived_cl5,plain,
    ( ( sk__2 = sk__3 )
    | ( in @ sk__3 @ sk__4 )
    | ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
      = ( singleton @ sk__2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X0 )
      | ( in @ X0 @ X2 )
      | ( ( set_difference @ ( unordered_pair @ X1 @ X0 ) @ X2 )
       != ( singleton @ X1 ) ) ),
    inference(cnf,[status(esa)],[l39_zfmisc_1]) ).

thf(zip_derived_cl63,plain,
    ( ( in @ sk__3 @ sk__4 )
    | ( sk__2 = sk__3 )
    | ( sk__2 = sk__3 )
    | ( in @ sk__3 @ sk__4 )
    | ( ( singleton @ sk__2 )
     != ( singleton @ sk__2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl9]) ).

thf(zip_derived_cl66,plain,
    ( ( sk__2 = sk__3 )
    | ( in @ sk__3 @ sk__4 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl63]) ).

thf(zip_derived_cl6,plain,
    ( ~ ( in @ sk__3 @ sk__4 )
    | ( in @ sk__2 @ sk__4 )
    | ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
     != ( singleton @ sk__2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ( ~ ( in @ sk__2 @ sk__4 )
    | ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
      = ( singleton @ sk__2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( ( set_difference @ ( unordered_pair @ X0 @ X2 ) @ X1 )
       != ( singleton @ X0 ) ) ),
    inference(cnf,[status(esa)],[l39_zfmisc_1]) ).

thf(zip_derived_cl56,plain,
    ~ ( in @ sk__2 @ sk__4 ),
    inference(clc,[status(thm)],[zip_derived_cl4,zip_derived_cl8]) ).

thf(zip_derived_cl62,plain,
    ( ~ ( in @ sk__3 @ sk__4 )
    | ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
     != ( singleton @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl56]) ).

thf(zip_derived_cl68,plain,
    ( ( sk__2 = sk__3 )
    | ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
     != ( singleton @ sk__2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl62]) ).

thf(zip_derived_cl7,plain,
    ( ( sk__2 != sk__3 )
    | ( in @ sk__2 @ sk__4 )
    | ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
     != ( singleton @ sk__2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl56_001,plain,
    ~ ( in @ sk__2 @ sk__4 ),
    inference(clc,[status(thm)],[zip_derived_cl4,zip_derived_cl8]) ).

thf(zip_derived_cl57,plain,
    ( ( sk__2 != sk__3 )
    | ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
     != ( singleton @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl56]) ).

thf(zip_derived_cl69,plain,
    ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
   != ( singleton @ sk__2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl68,zip_derived_cl57]) ).

thf(zip_derived_cl66_002,plain,
    ( ( sk__2 = sk__3 )
    | ( in @ sk__3 @ sk__4 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl63]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( set_difference @ ( unordered_pair @ X0 @ X1 ) @ X2 )
        = ( singleton @ X0 ) )
      | ~ ( in @ X1 @ X2 )
      | ( in @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[l39_zfmisc_1]) ).

thf(zip_derived_cl69_003,plain,
    ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
   != ( singleton @ sk__2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl68,zip_derived_cl57]) ).

thf(zip_derived_cl82,plain,
    ( ( in @ sk__2 @ sk__4 )
    | ~ ( in @ sk__3 @ sk__4 )
    | ( ( singleton @ sk__2 )
     != ( singleton @ sk__2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl69]) ).

thf(zip_derived_cl56_004,plain,
    ~ ( in @ sk__2 @ sk__4 ),
    inference(clc,[status(thm)],[zip_derived_cl4,zip_derived_cl8]) ).

thf(zip_derived_cl88,plain,
    ( ~ ( in @ sk__3 @ sk__4 )
    | ( ( singleton @ sk__2 )
     != ( singleton @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl56]) ).

thf(zip_derived_cl89,plain,
    ~ ( in @ sk__3 @ sk__4 ),
    inference(simplify,[status(thm)],[zip_derived_cl88]) ).

thf(zip_derived_cl90,plain,
    sk__2 = sk__3,
    inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl89]) ).

thf(zip_derived_cl91,plain,
    ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__2 ) @ sk__4 )
   != ( singleton @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl69,zip_derived_cl90]) ).

thf(zip_derived_cl94,plain,
    ( ( in @ sk__2 @ sk__4 )
    | ( ( singleton @ sk__2 )
     != ( singleton @ sk__2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl91]) ).

thf(zip_derived_cl56_005,plain,
    ~ ( in @ sk__2 @ sk__4 ),
    inference(clc,[status(thm)],[zip_derived_cl4,zip_derived_cl8]) ).

thf(zip_derived_cl99,plain,
    ( ( singleton @ sk__2 )
   != ( singleton @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl56]) ).

thf(zip_derived_cl100,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl99]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET927+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LW7ZSfygBX true
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 15:17:50 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73  % Solved by fo/fo6_bce.sh.
% 0.20/0.73  % BCE start: 12
% 0.20/0.73  % BCE eliminated: 0
% 0.20/0.73  % PE start: 12
% 0.20/0.73  logic: eq
% 0.20/0.73  % PE eliminated: 1
% 0.20/0.73  % done 25 iterations in 0.014s
% 0.20/0.73  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.73  % SZS output start Refutation
% See solution above
% 0.20/0.73  
% 0.20/0.73  
% 0.20/0.73  % Terminating...
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.31/0.85  % Runner terminated.
% 1.43/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------