%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET930+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.z9sreSRygG true

% Computer : n026.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 16:16:53 EDT 2023

% Result   : Theorem 0.22s 0.69s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   36 (  11 unt;   8 typ;   0 def)
%            Number of atoms       :   62 (  28 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  254 (  36   ~;  22   |;   9   &; 184   @)
%                                         (   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     :   10 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   34 (   0   ^;  34   !;   0   ?;  34   :)

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

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

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

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

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

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

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

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

thf(commutativity_k2_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( unordered_pair @ A @ B )
      = ( unordered_pair @ B @ A ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( unordered_pair @ X1 @ X0 )
      = ( unordered_pair @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).

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_cl6,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_cl79,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( set_difference @ ( unordered_pair @ X1 @ X0 ) @ X2 )
        = ( singleton @ X0 ) )
      | ~ ( in @ X1 @ X2 )
      | ( in @ X0 @ X2 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl6]) ).

thf(t74_zfmisc_1,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
         != empty_set )
        & ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
         != ( singleton @ A ) )
        & ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
         != ( singleton @ B ) )
        & ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
         != ( unordered_pair @ A @ B ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ~ ( ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
           != empty_set )
          & ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
           != ( singleton @ A ) )
          & ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
           != ( singleton @ B ) )
          & ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
           != ( unordered_pair @ A @ B ) ) ),
    inference('cnf.neg',[status(esa)],[t74_zfmisc_1]) ).

thf(zip_derived_cl16,plain,
    ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
   != ( singleton @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl206,plain,
    ( ( in @ sk__3 @ sk__4 )
    | ~ ( in @ sk__2 @ sk__4 )
    | ( ( singleton @ sk__3 )
     != ( singleton @ sk__3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl16]) ).

thf(t73_zfmisc_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
        = empty_set )
    <=> ( ( in @ A @ C )
        & ( in @ B @ C ) ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( set_difference @ ( unordered_pair @ X0 @ X1 ) @ X2 )
        = empty_set )
      | ~ ( in @ X1 @ X2 )
      | ~ ( in @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[t73_zfmisc_1]) ).

thf(zip_derived_cl18,plain,
    ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
   != empty_set ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129,plain,
    ( ~ ( in @ sk__2 @ sk__4 )
    | ~ ( in @ sk__3 @ sk__4 )
    | ( empty_set != empty_set ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl18]) ).

thf(zip_derived_cl139,plain,
    ( ~ ( in @ sk__3 @ sk__4 )
    | ~ ( in @ sk__2 @ sk__4 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl129]) ).

thf(t72_zfmisc_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
        = ( unordered_pair @ A @ B ) )
    <=> ( ~ ( in @ A @ C )
        & ~ ( in @ B @ C ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( set_difference @ ( unordered_pair @ X0 @ X1 ) @ X2 )
        = ( unordered_pair @ X0 @ X1 ) )
      | ( in @ X1 @ X2 )
      | ( in @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[t72_zfmisc_1]) ).

thf(zip_derived_cl15,plain,
    ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
   != ( unordered_pair @ sk__2 @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl104,plain,
    ( ( in @ sk__2 @ sk__4 )
    | ( in @ sk__3 @ sk__4 )
    | ( ( unordered_pair @ sk__2 @ sk__3 )
     != ( unordered_pair @ sk__2 @ sk__3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl15]) ).

thf(zip_derived_cl116,plain,
    ( ( in @ sk__3 @ sk__4 )
    | ( in @ sk__2 @ sk__4 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl104]) ).

thf(zip_derived_cl6_001,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_cl17,plain,
    ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
   != ( singleton @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl77,plain,
    ( ( in @ sk__2 @ sk__4 )
    | ~ ( in @ sk__3 @ sk__4 )
    | ( ( singleton @ sk__2 )
     != ( singleton @ sk__2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl17]) ).

thf(zip_derived_cl85,plain,
    ( ~ ( in @ sk__3 @ sk__4 )
    | ( in @ sk__2 @ sk__4 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl77]) ).

thf(zip_derived_cl140,plain,
    in @ sk__2 @ sk__4,
    inference(clc,[status(thm)],[zip_derived_cl116,zip_derived_cl85]) ).

thf(zip_derived_cl151,plain,
    ~ ( in @ sk__3 @ sk__4 ),
    inference(demod,[status(thm)],[zip_derived_cl139,zip_derived_cl140]) ).

thf(zip_derived_cl140_002,plain,
    in @ sk__2 @ sk__4,
    inference(clc,[status(thm)],[zip_derived_cl116,zip_derived_cl85]) ).

thf(zip_derived_cl221,plain,
    ( ( singleton @ sk__3 )
   != ( singleton @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl206,zip_derived_cl151,zip_derived_cl140]) ).

thf(zip_derived_cl222,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl221]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SET930+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.z9sreSRygG true
% 0.15/0.35  % Computer : n026.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Sat Aug 26 09:34:48 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.22/0.60  % Total configuration time : 435
% 0.22/0.60  % Estimated wc time : 1092
% 0.22/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.64  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.69  % Solved by fo/fo6_bce.sh.
% 0.22/0.69  % BCE start: 19
% 0.22/0.69  % BCE eliminated: 0
% 0.22/0.69  % PE start: 19
% 0.22/0.69  logic: eq
% 0.22/0.69  % PE eliminated: 1
% 0.22/0.69  % done 66 iterations in 0.028s
% 0.22/0.69  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.69  % SZS output start Refutation
% See solution above
% 0.22/0.69  
% 0.22/0.69  
% 0.22/0.69  % Terminating...
% 0.22/0.80  % Runner terminated.
% 0.22/0.82  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------