%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET679+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.c39DfbkjLf true

% Computer : n029.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 16:15:33 EDT 2023

% Result   : Theorem 0.85s 0.79s
% Output   : Refutation 0.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   38 (  14 unt;  10 typ;   0 def)
%            Number of atoms       :   56 (   4 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  168 (  23   ~;  14   |;   2   &; 117   @)
%                                         (   3 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :   27 (   0   ^;  27   !;   0   ?;  27   :)

% Comments : 
%------------------------------------------------------------------------------
thf(member_type,type,
    member: $i > $i > $o ).

thf(not_equal_type,type,
    not_equal: $i > $i > $o ).

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

thf(sk__9_type,type,
    sk__9: $i ).

thf(set_type_type,type,
    set_type: $i ).

thf(sk__1_type,type,
    sk__1: $i > $i ).

thf(ilf_type_type,type,
    ilf_type: $i > $i > $o ).

thf(identity_relation_of_type,type,
    identity_relation_of: $i > $i ).

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

thf(ordered_pair_type,type,
    ordered_pair: $i > $i > $i ).

thf(p7,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ! [C: $i] :
          ( ( ilf_type @ C @ set_type )
         => ( ( not_equal @ B @ C )
          <=> ( B != C ) ) ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ( X1 = X0 )
      | ( not_equal @ X1 @ X0 )
      | ~ ( ilf_type @ X1 @ set_type ) ),
    inference(cnf,[status(esa)],[p7]) ).

thf(prove_relset_1_46,conjecture,
    ! [B: $i] :
      ( ( ~ ( empty @ B )
        & ( ilf_type @ B @ set_type ) )
     => ( not_equal @ ( identity_relation_of @ B ) @ empty_set ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [B: $i] :
        ( ( ~ ( empty @ B )
          & ( ilf_type @ B @ set_type ) )
       => ( not_equal @ ( identity_relation_of @ B ) @ empty_set ) ),
    inference('cnf.neg',[status(esa)],[prove_relset_1_46]) ).

thf(zip_derived_cl48,plain,
    ~ ( not_equal @ ( identity_relation_of @ sk__9 ) @ empty_set ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl367,plain,
    ( ~ ( ilf_type @ ( identity_relation_of @ sk__9 ) @ set_type )
    | ( ( identity_relation_of @ sk__9 )
      = empty_set )
    | ~ ( ilf_type @ empty_set @ set_type ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl48]) ).

thf(p22,axiom,
    ! [B: $i] : ( ilf_type @ B @ set_type ) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p22]) ).

thf(zip_derived_cl45_001,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p22]) ).

thf(zip_derived_cl451,plain,
    ( ( identity_relation_of @ sk__9 )
    = empty_set ),
    inference(demod,[status(thm)],[zip_derived_cl367,zip_derived_cl45,zip_derived_cl45]) ).

thf(p1,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ! [C: $i] :
          ( ( ilf_type @ C @ set_type )
         => ( ( member @ C @ B )
          <=> ( member @ ( ordered_pair @ C @ C ) @ ( identity_relation_of @ B ) ) ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ~ ( member @ X0 @ X1 )
      | ( member @ ( ordered_pair @ X0 @ X0 ) @ ( identity_relation_of @ X1 ) )
      | ~ ( ilf_type @ X1 @ set_type ) ),
    inference(cnf,[status(esa)],[p1]) ).

thf(zip_derived_cl45_002,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p22]) ).

thf(zip_derived_cl45_003,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p22]) ).

thf(zip_derived_cl441,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ( member @ ( ordered_pair @ X0 @ X0 ) @ ( identity_relation_of @ X1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl45,zip_derived_cl45]) ).

thf(zip_derived_cl452,plain,
    ! [X0: $i] :
      ( ( member @ ( ordered_pair @ X0 @ X0 ) @ empty_set )
      | ~ ( member @ X0 @ sk__9 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl451,zip_derived_cl441]) ).

thf(p2,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ~ ( member @ B @ empty_set ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ( ~ ( member @ X0 @ empty_set )
      | ~ ( ilf_type @ X0 @ set_type ) ),
    inference(cnf,[status(esa)],[p2]) ).

thf(zip_derived_cl45_004,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p22]) ).

thf(zip_derived_cl443,plain,
    ! [X0: $i] :
      ~ ( member @ X0 @ empty_set ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl45]) ).

thf(zip_derived_cl476,plain,
    ! [X0: $i] :
      ~ ( member @ X0 @ sk__9 ),
    inference(clc,[status(thm)],[zip_derived_cl452,zip_derived_cl443]) ).

thf(p8,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ( ( empty @ B )
      <=> ! [C: $i] :
            ( ( ilf_type @ C @ set_type )
           => ~ ( member @ C @ B ) ) ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i] :
      ( ( member @ ( sk__1 @ X0 ) @ X0 )
      | ( empty @ X0 )
      | ~ ( ilf_type @ X0 @ set_type ) ),
    inference(cnf,[status(esa)],[p8]) ).

thf(zip_derived_cl46,plain,
    ~ ( empty @ sk__9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl383,plain,
    ( ~ ( ilf_type @ sk__9 @ set_type )
    | ( member @ ( sk__1 @ sk__9 ) @ sk__9 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl46]) ).

thf(zip_derived_cl45_005,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p22]) ).

thf(zip_derived_cl464,plain,
    member @ ( sk__1 @ sk__9 ) @ sk__9,
    inference(demod,[status(thm)],[zip_derived_cl383,zip_derived_cl45]) ).

thf(zip_derived_cl477,plain,
    $false,
    inference('sup+',[status(thm)],[zip_derived_cl476,zip_derived_cl464]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET679+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.c39DfbkjLf true
% 0.15/0.35  % Computer : n029.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Sat Aug 26 13:15:25 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.35  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.22/0.63  % Total configuration time : 435
% 0.22/0.63  % Estimated wc time : 1092
% 0.22/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.85/0.79  % Solved by fo/fo3_bce.sh.
% 0.85/0.79  % BCE start: 49
% 0.85/0.79  % BCE eliminated: 2
% 0.85/0.79  % PE start: 47
% 0.85/0.79  logic: eq
% 0.85/0.79  % PE eliminated: -13
% 0.85/0.79  % done 31 iterations in 0.022s
% 0.85/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.85/0.79  % SZS output start Refutation
% See solution above
% 0.85/0.79  
% 0.85/0.79  
% 0.85/0.79  % Terminating...
% 1.60/0.84  % Runner terminated.
% 1.60/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------