%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET886+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1rUHwPl4To true

% Computer : n002.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 16:16:40 EDT 2023

% Result   : Theorem 0.20s 0.74s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   35 (  17 unt;   6 typ;   0 def)
%            Number of atoms       :   47 (  41 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  157 (  20   ~;  15   |;   0   &; 119   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 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   :   40 (   0   ^;  40   !;   0   ?;  40   :)

% Comments : 
%------------------------------------------------------------------------------
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(subset_type,type,
    subset: $i > $i > $o ).

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

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

thf(t27_zfmisc_1,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( subset @ ( unordered_pair @ A @ B ) @ ( singleton @ C ) )
     => ( ( unordered_pair @ A @ B )
        = ( singleton @ C ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( subset @ ( unordered_pair @ A @ B ) @ ( singleton @ C ) )
       => ( ( unordered_pair @ A @ B )
          = ( singleton @ C ) ) ),
    inference('cnf.neg',[status(esa)],[t27_zfmisc_1]) ).

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

thf(t69_enumset1,axiom,
    ! [A: $i] :
      ( ( unordered_pair @ A @ A )
      = ( singleton @ A ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ( ( unordered_pair @ X0 @ X0 )
      = ( singleton @ X0 ) ),
    inference(cnf,[status(esa)],[t69_enumset1]) ).

thf(zip_derived_cl27,plain,
    ( ( unordered_pair @ sk__2 @ sk__3 )
   != ( unordered_pair @ sk__4 @ sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl7]) ).

thf(zip_derived_cl7_001,plain,
    ! [X0: $i] :
      ( ( unordered_pair @ X0 @ X0 )
      = ( singleton @ X0 ) ),
    inference(cnf,[status(esa)],[t69_enumset1]) ).

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

thf(t26_zfmisc_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( subset @ ( unordered_pair @ A @ B ) @ ( singleton @ C ) )
     => ( A = C ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X0 )
      | ~ ( subset @ ( unordered_pair @ X1 @ X2 ) @ ( singleton @ X0 ) ) ),
    inference(cnf,[status(esa)],[t26_zfmisc_1]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( unordered_pair @ sk__2 @ sk__3 )
       != ( unordered_pair @ X0 @ X2 ) )
      | ( ( singleton @ sk__4 )
       != ( singleton @ X1 ) )
      | ( X0 = X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).

thf(zip_derived_cl7_002,plain,
    ! [X0: $i] :
      ( ( unordered_pair @ X0 @ X0 )
      = ( singleton @ X0 ) ),
    inference(cnf,[status(esa)],[t69_enumset1]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( unordered_pair @ sk__2 @ sk__3 )
       != ( unordered_pair @ X0 @ X2 ) )
      | ( ( unordered_pair @ sk__4 @ sk__4 )
       != ( singleton @ X1 ) )
      | ( X0 = X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl7]) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( unordered_pair @ sk__2 @ sk__3 )
       != ( unordered_pair @ X2 @ X1 ) )
      | ( ( unordered_pair @ sk__4 @ sk__4 )
       != ( unordered_pair @ X0 @ X0 ) )
      | ( X2 = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl34]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i] :
      ( ( sk__2 = X0 )
      | ( ( unordered_pair @ sk__4 @ sk__4 )
       != ( unordered_pair @ X0 @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl61,plain,
    sk__2 = sk__4,
    inference(eq_res,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl61_003,plain,
    sk__2 = sk__4,
    inference(eq_res,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl62,plain,
    ( ( unordered_pair @ sk__2 @ sk__3 )
   != ( unordered_pair @ sk__2 @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl61,zip_derived_cl61]) ).

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

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( unordered_pair @ X1 @ X0 )
      = ( unordered_pair @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).

thf(zip_derived_cl35_004,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( unordered_pair @ sk__2 @ sk__3 )
       != ( unordered_pair @ X2 @ X1 ) )
      | ( ( unordered_pair @ sk__4 @ sk__4 )
       != ( unordered_pair @ X0 @ X0 ) )
      | ( X2 = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl34]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( unordered_pair @ sk__2 @ sk__3 )
       != ( unordered_pair @ X1 @ X0 ) )
      | ( ( unordered_pair @ sk__4 @ sk__4 )
       != ( unordered_pair @ X2 @ X2 ) )
      | ( X0 = X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl35]) ).

thf(zip_derived_cl61_005,plain,
    sk__2 = sk__4,
    inference(eq_res,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl61_006,plain,
    sk__2 = sk__4,
    inference(eq_res,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( unordered_pair @ sk__2 @ sk__3 )
       != ( unordered_pair @ X1 @ X0 ) )
      | ( ( unordered_pair @ sk__2 @ sk__2 )
       != ( unordered_pair @ X2 @ X2 ) )
      | ( X0 = X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl61,zip_derived_cl61]) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i] :
      ( ( sk__3 = X0 )
      | ( ( unordered_pair @ sk__2 @ sk__2 )
       != ( unordered_pair @ X0 @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl65]) ).

thf(zip_derived_cl97,plain,
    sk__3 = sk__2,
    inference(eq_res,[status(thm)],[zip_derived_cl91]) ).

thf(zip_derived_cl98,plain,
    ( ( unordered_pair @ sk__2 @ sk__2 )
   != ( unordered_pair @ sk__2 @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl97]) ).

thf(zip_derived_cl99,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl98]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SET886+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1rUHwPl4To true
% 0.13/0.35  % Computer : n002.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 : Sat Aug 26 16:27:48 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.63  % Total configuration time : 435
% 0.20/0.63  % Estimated wc time : 1092
% 0.20/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74  % Solved by fo/fo6_bce.sh.
% 0.20/0.74  % BCE start: 8
% 0.20/0.74  % BCE eliminated: 0
% 0.20/0.74  % PE start: 8
% 0.20/0.74  logic: eq
% 0.20/0.74  % PE eliminated: 2
% 0.20/0.74  % done 51 iterations in 0.025s
% 0.20/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.74  % SZS output start Refutation
% See solution above
% 0.20/0.74  
% 0.20/0.74  
% 0.20/0.74  % Terminating...
% 1.47/0.84  % Runner terminated.
% 1.47/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------