%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU141+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1vELAZIwJ5 true

% Computer : n020.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 19:10:42 EDT 2023

% Result   : Theorem 3.07s 1.34s
% Output   : Refutation 3.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   51 (  25 unt;   9 typ;   0 def)
%            Number of atoms       :   59 (  33 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  174 (  11   ~;  11   |;   0   &; 146   @)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   49 (   0   ^;  49   !;   0   ?;  49   :)

% Comments : 
%------------------------------------------------------------------------------
thf(set_union2_type,type,
    set_union2: $i > $i > $i ).

thf(empty_type,type,
    empty: $i > $o ).

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

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

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

thf(sk__11_type,type,
    sk__11: $i ).

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

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

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

thf(t83_xboole_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( disjoint @ A @ B )
    <=> ( ( set_difference @ A @ B )
        = A ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( disjoint @ A @ B )
      <=> ( ( set_difference @ A @ B )
          = A ) ),
    inference('cnf.neg',[status(esa)],[t83_xboole_1]) ).

thf(zip_derived_cl83,plain,
    ( ( ( set_difference @ sk__10 @ sk__11 )
      = sk__10 )
    | ( disjoint @ sk__10 @ sk__11 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t48_xboole_1,axiom,
    ! [A: $i,B: $i] :
      ( ( set_difference @ A @ ( set_difference @ A @ B ) )
      = ( set_intersection2 @ A @ B ) ) ).

thf(zip_derived_cl74,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_difference @ X0 @ ( set_difference @ X0 @ X1 ) )
      = ( set_intersection2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t48_xboole_1]) ).

thf(zip_derived_cl714,plain,
    ( ( ( set_difference @ sk__10 @ sk__10 )
      = ( set_intersection2 @ sk__10 @ sk__11 ) )
    | ( disjoint @ sk__10 @ sk__11 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl83,zip_derived_cl74]) ).

thf(reflexivity_r1_tarski,axiom,
    ! [A: $i,B: $i] : ( subset @ A @ A ) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i] : ( subset @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).

thf(l32_xboole_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( set_difference @ A @ B )
        = empty_set )
    <=> ( subset @ A @ B ) ) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( set_difference @ X0 @ X1 )
        = empty_set )
      | ~ ( subset @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[l32_xboole_1]) ).

thf(zip_derived_cl175,plain,
    ! [X0: $i] :
      ( ( set_difference @ X0 @ X0 )
      = empty_set ),
    inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl46]) ).

thf(zip_derived_cl722,plain,
    ( ( empty_set
      = ( set_intersection2 @ sk__10 @ sk__11 ) )
    | ( disjoint @ sk__10 @ sk__11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl714,zip_derived_cl175]) ).

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

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_cl723,plain,
    disjoint @ sk__10 @ sk__11,
    inference(clc,[status(thm)],[zip_derived_cl722,zip_derived_cl31]) ).

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_cl725,plain,
    ( ( set_intersection2 @ sk__10 @ sk__11 )
    = empty_set ),
    inference('sup-',[status(thm)],[zip_derived_cl723,zip_derived_cl30]) ).

thf(t36_xboole_1,axiom,
    ! [A: $i,B: $i] : ( subset @ ( set_difference @ A @ B ) @ A ) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i,X1: $i] : ( subset @ ( set_difference @ X0 @ X1 ) @ X0 ),
    inference(cnf,[status(esa)],[t36_xboole_1]) ).

thf(t45_xboole_1,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ B )
     => ( B
        = ( set_union2 @ A @ ( set_difference @ B @ A ) ) ) ) ).

thf(zip_derived_cl73,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
        = ( set_union2 @ X0 @ ( set_difference @ X1 @ X0 ) ) )
      | ~ ( subset @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t45_xboole_1]) ).

thf(zip_derived_cl497,plain,
    ! [X0: $i,X1: $i] :
      ( X0
      = ( set_union2 @ ( set_difference @ X0 @ X1 ) @ ( set_difference @ X0 @ ( set_difference @ X0 @ X1 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl73]) ).

thf(zip_derived_cl74_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_difference @ X0 @ ( set_difference @ X0 @ X1 ) )
      = ( set_intersection2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t48_xboole_1]) ).

thf(commutativity_k2_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( set_union2 @ A @ B )
      = ( set_union2 @ B @ A ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_union2 @ X1 @ X0 )
      = ( set_union2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k2_xboole_0]) ).

thf(zip_derived_cl5174,plain,
    ! [X0: $i,X1: $i] :
      ( X0
      = ( set_union2 @ ( set_intersection2 @ X0 @ X1 ) @ ( set_difference @ X0 @ X1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl74,zip_derived_cl2]) ).

thf(zip_derived_cl5253,plain,
    ( sk__10
    = ( set_union2 @ empty_set @ ( set_difference @ sk__10 @ sk__11 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl725,zip_derived_cl5174]) ).

thf(t6_boole,axiom,
    ! [A: $i] :
      ( ( empty @ A )
     => ( A = empty_set ) ) ).

thf(zip_derived_cl80,plain,
    ! [X0: $i] :
      ( ( X0 = empty_set )
      | ~ ( empty @ X0 ) ),
    inference(cnf,[status(esa)],[t6_boole]) ).

thf(t1_boole,axiom,
    ! [A: $i] :
      ( ( set_union2 @ A @ empty_set )
      = A ) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i] :
      ( ( set_union2 @ X0 @ empty_set )
      = X0 ),
    inference(cnf,[status(esa)],[t1_boole]) ).

thf(zip_derived_cl2_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_union2 @ X1 @ X0 )
      = ( set_union2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k2_xboole_0]) ).

thf(zip_derived_cl119,plain,
    ! [X0: $i] :
      ( ( set_union2 @ empty_set @ X0 )
      = X0 ),
    inference('sup+',[status(thm)],[zip_derived_cl54,zip_derived_cl2]) ).

thf(zip_derived_cl125,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( set_union2 @ X0 @ X1 )
        = X1 )
      | ~ ( empty @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl80,zip_derived_cl119]) ).

thf(zip_derived_cl5330,plain,
    ( ( sk__10
      = ( set_difference @ sk__10 @ sk__11 ) )
    | ~ ( empty @ empty_set ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5253,zip_derived_cl125]) ).

thf(fc1_xboole_0,axiom,
    empty @ empty_set ).

thf(zip_derived_cl39,plain,
    empty @ empty_set,
    inference(cnf,[status(esa)],[fc1_xboole_0]) ).

thf(zip_derived_cl5387,plain,
    ( sk__10
    = ( set_difference @ sk__10 @ sk__11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5330,zip_derived_cl39]) ).

thf(zip_derived_cl84,plain,
    ( ( ( set_difference @ sk__10 @ sk__11 )
     != sk__10 )
    | ~ ( disjoint @ sk__10 @ sk__11 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl723_003,plain,
    disjoint @ sk__10 @ sk__11,
    inference(clc,[status(thm)],[zip_derived_cl722,zip_derived_cl31]) ).

thf(zip_derived_cl724,plain,
    ( ( set_difference @ sk__10 @ sk__11 )
   != sk__10 ),
    inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl723]) ).

thf(zip_derived_cl5388,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl5387,zip_derived_cl724]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU141+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1vELAZIwJ5 true
% 0.14/0.34  % Computer : n020.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed Aug 23 13:50:00 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.20/0.64  % Total configuration time : 435
% 0.20/0.64  % Estimated wc time : 1092
% 0.20/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71  % /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  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 3.07/1.34  % Solved by fo/fo5.sh.
% 3.07/1.34  % done 1552 iterations in 0.559s
% 3.07/1.34  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.07/1.34  % SZS output start Refutation
% See solution above
% 3.07/1.34  
% 3.07/1.34  
% 3.07/1.34  % Terminating...
% 3.07/1.46  % Runner terminated.
% 3.07/1.47  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------