%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET605+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.F7LEHcSJa3 true

% Computer : n001.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 16:14:56 EDT 2023

% Result   : Theorem 0.20s 0.75s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   16 (   7 unt;   6 typ;   0 def)
%            Number of atoms       :   13 (   6 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   45 (   6   ~;   2   |;   0   &;  36   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^;  12   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__4_type,type,
    sk__4: $i ).

thf(union_type,type,
    union: $i > $i > $i ).

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

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

thf(difference_type,type,
    difference: $i > $i > $i ).

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

thf(difference_empty_set,axiom,
    ! [B: $i,C: $i] :
      ( ( ( difference @ B @ C )
        = empty_set )
    <=> ( subset @ B @ C ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( difference @ X0 @ X1 )
        = empty_set )
      | ~ ( subset @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[difference_empty_set]) ).

thf(prove_th76,conjecture,
    ! [B: $i,C: $i] :
      ( ( difference @ B @ ( union @ B @ C ) )
      = empty_set ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [B: $i,C: $i] :
        ( ( difference @ B @ ( union @ B @ C ) )
        = empty_set ),
    inference('cnf.neg',[status(esa)],[prove_th76]) ).

thf(zip_derived_cl24,plain,
    ( ( difference @ sk__3 @ ( union @ sk__3 @ sk__4 ) )
   != empty_set ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl113,plain,
    ( ( empty_set != empty_set )
    | ~ ( subset @ sk__3 @ ( union @ sk__3 @ sk__4 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl24]) ).

thf(zip_derived_cl114,plain,
    ~ ( subset @ sk__3 @ ( union @ sk__3 @ sk__4 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl113]) ).

thf(subset_of_union,axiom,
    ! [B: $i,C: $i] : ( subset @ B @ ( union @ B @ C ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] : ( subset @ X0 @ ( union @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[subset_of_union]) ).

thf(zip_derived_cl117,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET605+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.F7LEHcSJa3 true
% 0.13/0.35  % Computer : n001.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 15:27:46 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
% 0.13/0.36  % 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
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75  % Solved by fo/fo3_bce.sh.
% 0.20/0.75  % BCE start: 25
% 0.20/0.75  % BCE eliminated: 0
% 0.20/0.75  % PE start: 25
% 0.20/0.75  logic: eq
% 0.20/0.75  % PE eliminated: 1
% 0.20/0.75  % done 7 iterations in 0.009s
% 0.20/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.75  % SZS output start Refutation
% See solution above
% 0.20/0.75  
% 0.20/0.75  
% 0.20/0.75  % Terminating...
% 1.34/0.85  % Runner terminated.
% 1.34/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------