%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET617+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.Qu81EMcbVZ true

% Computer : n022.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 16:15:03 EDT 2023

% Result   : Theorem 0.21s 0.77s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   26 (  17 unt;   5 typ;   0 def)
%            Number of atoms       :   25 (  24 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   75 (   7   ~;   2   |;   2   &;  64   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   20 (   0   ^;  20   !;   0   ?;  20   :)

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

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

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

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

thf(symmetric_difference_type,type,
    symmetric_difference: $i > $i > $i ).

thf(prove_th92,conjecture,
    ! [B: $i] :
      ( ( ( symmetric_difference @ empty_set @ B )
        = B )
      & ( ( symmetric_difference @ B @ empty_set )
        = B ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [B: $i] :
        ( ( ( symmetric_difference @ empty_set @ B )
          = B )
        & ( ( symmetric_difference @ B @ empty_set )
          = B ) ),
    inference('cnf.neg',[status(esa)],[prove_th92]) ).

thf(zip_derived_cl20,plain,
    ( ( ( symmetric_difference @ empty_set @ sk__3 )
     != sk__3 )
    | ( ( symmetric_difference @ sk__3 @ empty_set )
     != sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(no_difference_with_empty_set2,axiom,
    ! [B: $i] :
      ( ( difference @ empty_set @ B )
      = empty_set ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ( difference @ empty_set @ X0 )
      = empty_set ),
    inference(cnf,[status(esa)],[no_difference_with_empty_set2]) ).

thf(symmetric_difference_defn,axiom,
    ! [B: $i,C: $i] :
      ( ( symmetric_difference @ B @ C )
      = ( union @ ( difference @ B @ C ) @ ( difference @ C @ B ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( symmetric_difference @ X0 @ X1 )
      = ( union @ ( difference @ X0 @ X1 ) @ ( difference @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[symmetric_difference_defn]) ).

thf(zip_derived_cl87,plain,
    ! [X0: $i] :
      ( ( symmetric_difference @ X0 @ empty_set )
      = ( union @ ( difference @ X0 @ empty_set ) @ empty_set ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).

thf(no_difference_with_empty_set1,axiom,
    ! [B: $i] :
      ( ( difference @ B @ empty_set )
      = B ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ( ( difference @ X0 @ empty_set )
      = X0 ),
    inference(cnf,[status(esa)],[no_difference_with_empty_set1]) ).

thf(union_empty_set,axiom,
    ! [B: $i] :
      ( ( union @ B @ empty_set )
      = B ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i] :
      ( ( union @ X0 @ empty_set )
      = X0 ),
    inference(cnf,[status(esa)],[union_empty_set]) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i] :
      ( ( symmetric_difference @ X0 @ empty_set )
      = X0 ),
    inference(demod,[status(thm)],[zip_derived_cl87,zip_derived_cl2,zip_derived_cl1]) ).

thf(zip_derived_cl94,plain,
    ( ( ( symmetric_difference @ empty_set @ sk__3 )
     != sk__3 )
    | ( sk__3 != sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl91]) ).

thf(zip_derived_cl95,plain,
    ( ( symmetric_difference @ empty_set @ sk__3 )
   != sk__3 ),
    inference(simplify,[status(thm)],[zip_derived_cl94]) ).

thf(zip_derived_cl91_001,plain,
    ! [X0: $i] :
      ( ( symmetric_difference @ X0 @ empty_set )
      = X0 ),
    inference(demod,[status(thm)],[zip_derived_cl87,zip_derived_cl2,zip_derived_cl1]) ).

thf(commutativity_of_symmetric_difference,axiom,
    ! [B: $i,C: $i] :
      ( ( symmetric_difference @ B @ C )
      = ( symmetric_difference @ C @ B ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( symmetric_difference @ X1 @ X0 )
      = ( symmetric_difference @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_of_symmetric_difference]) ).

thf(zip_derived_cl96,plain,
    ! [X0: $i] :
      ( X0
      = ( symmetric_difference @ empty_set @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl91,zip_derived_cl9]) ).

thf(zip_derived_cl98,plain,
    sk__3 != sk__3,
    inference(demod,[status(thm)],[zip_derived_cl95,zip_derived_cl96]) ).

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


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET617+3 : TPTP v8.1.2. Released v2.2.0.
% 0.15/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Qu81EMcbVZ true
% 0.15/0.36  % Computer : n022.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Sat Aug 26 11:21:40 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.37  % Running in FO mode
% 0.21/0.66  % Total configuration time : 435
% 0.21/0.66  % Estimated wc time : 1092
% 0.21/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77  % Solved by fo/fo3_bce.sh.
% 0.21/0.77  % BCE start: 21
% 0.21/0.77  % BCE eliminated: 0
% 0.21/0.77  % PE start: 21
% 0.21/0.77  logic: eq
% 0.21/0.77  % PE eliminated: 1
% 0.21/0.77  % done 13 iterations in 0.008s
% 0.21/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.77  % SZS output start Refutation
% See solution above
% 0.21/0.77  
% 0.21/0.77  
% 0.21/0.77  % Terminating...
% 0.21/0.85  % Runner terminated.
% 0.21/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------