%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU140+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9Gl2JZkTgO true

% Computer : n027.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 19:10:41 EDT 2023

% Result   : Theorem 1.41s 0.92s
% Output   : Refutation 1.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   43 (  12 unt;  10 typ;   0 def)
%            Number of atoms       :   64 (  13 equ;   0 cnn)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :  217 (  33   ~;  15   |;  10   &; 153   @)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :   58 (   0   ^;  56   !;   2   ?;  58   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__11_type,type,
    sk__11: $i ).

thf(sk__8_type,type,
    sk__8: $i > $i > $i ).

thf(sk__10_type,type,
    sk__10: $i ).

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

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

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

thf(sk__type,type,
    sk_: $i > $i ).

thf(sk__12_type,type,
    sk__12: $i ).

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

thf(set_intersection2_type,type,
    set_intersection2: $i > $i > $i ).

thf(d1_xboole_0,axiom,
    ! [A: $i] :
      ( ( A = empty_set )
    <=> ! [B: $i] :
          ~ ( in @ B @ A ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ( X0 = empty_set )
      | ( in @ ( sk_ @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d1_xboole_0]) ).

thf(t63_xboole_1,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( subset @ A @ B )
        & ( disjoint @ B @ C ) )
     => ( disjoint @ A @ C ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( ( subset @ A @ B )
          & ( disjoint @ B @ C ) )
       => ( disjoint @ A @ C ) ),
    inference('cnf.neg',[status(esa)],[t63_xboole_1]) ).

thf(zip_derived_cl81,plain,
    subset @ sk__10 @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl80,plain,
    disjoint @ sk__11 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d7_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( disjoint @ A @ B )
    <=> ( ( set_intersection2 @ A @ B )
        = empty_set ) ) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( set_intersection2 @ X0 @ X1 )
        = empty_set )
      | ~ ( disjoint @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[d7_xboole_0]) ).

thf(zip_derived_cl571,plain,
    ( ( set_intersection2 @ sk__11 @ sk__12 )
    = empty_set ),
    inference('s_sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl30]) ).

thf(t26_xboole_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( subset @ A @ B )
     => ( subset @ ( set_intersection2 @ A @ C ) @ ( set_intersection2 @ B @ C ) ) ) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( subset @ X0 @ X1 )
      | ( subset @ ( set_intersection2 @ X0 @ X2 ) @ ( set_intersection2 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[t26_xboole_1]) ).

thf(zip_derived_cl765,plain,
    ! [X0: $i] :
      ( ~ ( subset @ X0 @ sk__11 )
      | ( subset @ ( set_intersection2 @ X0 @ sk__12 ) @ empty_set ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl571,zip_derived_cl56]) ).

thf(t28_xboole_1,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ B )
     => ( ( set_intersection2 @ A @ B )
        = A ) ) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( set_intersection2 @ X0 @ X1 )
        = X0 )
      | ~ ( subset @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t28_xboole_1]) ).

thf(commutativity_k3_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( set_intersection2 @ A @ B )
      = ( set_intersection2 @ B @ A ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_intersection2 @ X1 @ X0 )
      = ( set_intersection2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).

thf(t4_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ~ ( ? [C: $i] : ( in @ C @ ( set_intersection2 @ A @ B ) )
          & ( disjoint @ A @ B ) )
      & ~ ( ~ ( disjoint @ A @ B )
          & ! [C: $i] :
              ~ ( in @ C @ ( set_intersection2 @ A @ B ) ) ) ) ).

thf(zip_derived_cl77,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ ( set_intersection2 @ X1 @ X2 ) )
      | ~ ( disjoint @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[t4_xboole_0]) ).

thf(zip_derived_cl417,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X2 @ ( set_intersection2 @ X1 @ X0 ) )
      | ~ ( disjoint @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl77]) ).

thf(zip_derived_cl644,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( subset @ X0 @ X1 )
      | ~ ( in @ X2 @ X0 )
      | ~ ( disjoint @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl417]) ).

thf(zip_derived_cl1458,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( subset @ X0 @ sk__11 )
      | ~ ( in @ X1 @ ( set_intersection2 @ X0 @ sk__12 ) )
      | ~ ( disjoint @ empty_set @ ( set_intersection2 @ X0 @ sk__12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl765,zip_derived_cl644]) ).

thf(t3_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ~ ( ? [C: $i] :
              ( ( in @ C @ B )
              & ( in @ C @ A ) )
          & ( disjoint @ A @ B ) )
      & ~ ( ~ ( disjoint @ A @ B )
          & ! [C: $i] :
              ~ ( ( in @ C @ A )
                & ( in @ C @ B ) ) ) ) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i,X1: $i] :
      ( ( disjoint @ X0 @ X1 )
      | ( in @ ( sk__8 @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[t3_xboole_0]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( X1 != empty_set ) ),
    inference(cnf,[status(esa)],[d1_xboole_0]) ).

thf(zip_derived_cl373,plain,
    ! [X0: $i] :
      ~ ( in @ X0 @ empty_set ),
    inference(eq_res,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl862,plain,
    ! [X0: $i] : ( disjoint @ empty_set @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl373]) ).

thf(zip_derived_cl1475,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( subset @ X0 @ sk__11 )
      | ~ ( in @ X1 @ ( set_intersection2 @ X0 @ sk__12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1458,zip_derived_cl862]) ).

thf(zip_derived_cl1484,plain,
    ! [X0: $i] :
      ~ ( in @ X0 @ ( set_intersection2 @ sk__10 @ sk__12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl1475]) ).

thf(zip_derived_cl1519,plain,
    ( ( set_intersection2 @ sk__10 @ sk__12 )
    = empty_set ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl1484]) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i] :
      ( ( disjoint @ X0 @ X1 )
      | ( ( set_intersection2 @ X0 @ X1 )
       != empty_set ) ),
    inference(cnf,[status(esa)],[d7_xboole_0]) ).

thf(zip_derived_cl79,plain,
    ~ ( disjoint @ sk__10 @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl524,plain,
    ( ( set_intersection2 @ sk__10 @ sk__12 )
   != empty_set ),
    inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl79]) ).

thf(zip_derived_cl1542,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1519,zip_derived_cl524]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU140+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9Gl2JZkTgO true
% 0.14/0.35  % Computer : n027.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug 24 00:07:47 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.21/0.35  % Python version: Python 3.6.8
% 0.21/0.35  % Running in FO mode
% 0.21/0.63  % Total configuration time : 435
% 0.21/0.63  % Estimated wc time : 1092
% 0.21/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.95/0.83  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.41/0.92  % Solved by fo/fo6_bce.sh.
% 1.41/0.92  % BCE start: 87
% 1.41/0.92  % BCE eliminated: 2
% 1.41/0.92  % PE start: 85
% 1.41/0.92  logic: eq
% 1.41/0.92  % PE eliminated: 0
% 1.41/0.92  % done 329 iterations in 0.206s
% 1.41/0.92  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.41/0.92  % SZS output start Refutation
% See solution above
% 1.41/0.92  
% 1.41/0.92  
% 1.41/0.92  % Terminating...
% 1.63/1.04  % Runner terminated.
% 1.76/1.06  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------