%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM395+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.X9nctfcCRw 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 12:41:15 EDT 2023

% Result   : Theorem 0.22s 0.72s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   16 (   7 unt;   4 typ;   0 def)
%            Number of atoms       :   19 (   1 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   32 (   8   ~;   4   |;   2   &;  17   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    2 (   0   ^;   2   !;   0   ?;   2   :)

% Comments : 
%------------------------------------------------------------------------------
thf(ordinal_type,type,
    ordinal: $i > $o ).

thf(epsilon_transitive_type,type,
    epsilon_transitive: $i > $o ).

thf(epsilon_connected_type,type,
    epsilon_connected: $i > $o ).

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

thf(l18_ordinal1,axiom,
    ( ( epsilon_connected @ empty_set )
    & ( epsilon_transitive @ empty_set ) ) ).

thf(zip_derived_cl51,plain,
    epsilon_transitive @ empty_set,
    inference(cnf,[status(esa)],[l18_ordinal1]) ).

thf(cc2_ordinal1,axiom,
    ! [A: $i] :
      ( ( ( epsilon_transitive @ A )
        & ( epsilon_connected @ A ) )
     => ( ordinal @ A ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ( ( ordinal @ X0 )
      | ~ ( epsilon_connected @ X0 )
      | ~ ( epsilon_transitive @ X0 ) ),
    inference(cnf,[status(esa)],[cc2_ordinal1]) ).

thf(zip_derived_cl198,plain,
    ( ~ ( epsilon_connected @ empty_set )
    | ( ordinal @ empty_set ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl51,zip_derived_cl13]) ).

thf(t27_ordinal1,conjecture,
    ordinal @ empty_set ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ordinal @ empty_set ),
    inference('cnf.neg',[status(esa)],[t27_ordinal1]) ).

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

thf(zip_derived_cl218,plain,
    ( ( empty_set != empty_set )
    | ~ ( epsilon_connected @ empty_set ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl198,zip_derived_cl46]) ).

thf(zip_derived_cl273,plain,
    ~ ( epsilon_connected @ empty_set ),
    inference(simplify,[status(thm)],[zip_derived_cl218]) ).

thf(zip_derived_cl50,plain,
    epsilon_connected @ empty_set,
    inference(cnf,[status(esa)],[l18_ordinal1]) ).

thf(zip_derived_cl277,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM395+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.X9nctfcCRw true
% 0.14/0.34  % Computer : n027.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 : Fri Aug 25 14:52:03 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
% 0.22/0.63  % Total configuration time : 435
% 0.22/0.63  % Estimated wc time : 1092
% 0.22/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72  % Solved by fo/fo6_bce.sh.
% 0.22/0.72  % BCE start: 52
% 0.22/0.72  % BCE eliminated: 6
% 0.22/0.72  % PE start: 46
% 0.22/0.72  logic: eq
% 0.22/0.72  % PE eliminated: 5
% 0.22/0.72  % done 16 iterations in 0.010s
% 0.22/0.72  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.72  % SZS output start Refutation
% See solution above
% 0.22/0.72  
% 0.22/0.72  
% 0.22/0.72  % Terminating...
% 1.07/0.75  % Runner terminated.
% 1.07/0.76  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------