TSTP Solution File: SWW473_2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW473_2 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BLJGDEVpTz 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 : Fri Sep  1 01:42:10 EDT 2023

% Result   : Theorem 2.49s 1.05s
% Output   : Refutation 2.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   32
% Syntax   : Number of formulae    :   42 (  10 unt;  27 typ;   0 def)
%            Number of atoms       :   22 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  165 (   9   ~;   4   |;   1   &; 149   @)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   8 avg)
%            Number of types       :   12 (  11 usr)
%            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  16 usr;   8 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^;  12   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(bool_type,type,
    bool: $tType ).

thf(fun_fu1430349052l_bool_type,type,
    fun_fu1430349052l_bool: $tType ).

thf(fun_pn422929397l_bool_type,type,
    fun_pn422929397l_bool: $tType ).

thf(pname_type,type,
    pname: $tType ).

thf(fun_pname_bool_type,type,
    fun_pname_bool: $tType ).

thf(fun_fun_a_bool_bool_type,type,
    fun_fun_a_bool_bool: $tType ).

thf(fun_a_1255737515l_bool_type,type,
    fun_a_1255737515l_bool: $tType ).

thf(x_a_type,type,
    x_a: $tType ).

thf(fun_pname_a_type,type,
    fun_pname_a: $tType ).

thf(fun_a_bool_type,type,
    fun_a_bool: $tType ).

thf(fun_fu1471507361l_bool_type,type,
    fun_fu1471507361l_bool: $tType ).

thf(u_type,type,
    u: fun_pname_bool ).

thf(member_pname_type,type,
    member_pname: fun_pn422929397l_bool ).

thf(hAPP_f1631501043l_bool_type,type,
    hAPP_f1631501043l_bool: fun_fu1471507361l_bool > fun_a_bool > fun_fun_a_bool_bool ).

thf(mgt_call_type,type,
    mgt_call: fun_pname_a ).

thf(hAPP_fun_a_bool_bool_type,type,
    hAPP_fun_a_bool_bool: fun_fun_a_bool_bool > fun_a_bool > bool ).

thf(pn_type,type,
    pn: pname ).

thf(g_type,type,
    g: fun_a_bool ).

thf(image_pname_a_type,type,
    image_pname_a: fun_pname_a > fun_pname_bool > fun_a_bool ).

thf(ord_le1311769555a_bool_type,type,
    ord_le1311769555a_bool: fun_fu1471507361l_bool ).

thf(insert_a_type,type,
    insert_a: x_a > fun_a_bool > fun_a_bool ).

thf(member_a_type,type,
    member_a: fun_a_1255737515l_bool ).

thf(hAPP_f1664156314l_bool_type,type,
    hAPP_f1664156314l_bool: fun_fu1430349052l_bool > fun_pname_bool > bool ).

thf(hAPP_a85458249l_bool_type,type,
    hAPP_a85458249l_bool: fun_a_1255737515l_bool > x_a > fun_fun_a_bool_bool ).

thf(hAPP_p338031245l_bool_type,type,
    hAPP_p338031245l_bool: fun_pn422929397l_bool > pname > fun_fu1430349052l_bool ).

thf(hBOOL_type,type,
    hBOOL: bool > $o ).

thf(hAPP_pname_a_type,type,
    hAPP_pname_a: fun_pname_a > pname > x_a ).

thf(fact_307_imageI,axiom,
    ! [F: fun_pname_a,X_3: pname,A_1: fun_pname_bool] :
      ( ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X_3 ) @ A_1 ) )
     => ( hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_a85458249l_bool @ member_a @ ( hAPP_pname_a @ F @ X_3 ) ) @ ( image_pname_a @ F @ A_1 ) ) ) ) ).

thf(zip_derived_cl39,plain,
    ! [X0: fun_pname_a,X1: pname,X2: fun_pname_bool] :
      ( ( hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_a85458249l_bool @ member_a @ ( hAPP_pname_a @ X0 @ X1 ) ) @ ( image_pname_a @ X0 @ X2 ) ) )
      | ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ X1 ) @ X2 ) ) ),
    inference(cnf,[status(esa)],[fact_307_imageI]) ).

thf(fact_324_insert__subset,axiom,
    ! [X_3: x_a,A_1: fun_a_bool,B_6: fun_a_bool] :
      ( ( hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_f1631501043l_bool @ ord_le1311769555a_bool @ ( insert_a @ X_3 @ A_1 ) ) @ B_6 ) )
    <=> ( ( hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_a85458249l_bool @ member_a @ X_3 ) @ B_6 ) )
        & ( hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_f1631501043l_bool @ ord_le1311769555a_bool @ A_1 ) @ B_6 ) ) ) ) ).

thf(zip_derived_cl44,plain,
    ! [X0: x_a,X1: fun_a_bool,X2: fun_a_bool] :
      ( ( hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_f1631501043l_bool @ ord_le1311769555a_bool @ ( insert_a @ X0 @ X1 ) ) @ X2 ) )
      | ~ ( hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_f1631501043l_bool @ ord_le1311769555a_bool @ X1 ) @ X2 ) )
      | ~ ( hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_a85458249l_bool @ member_a @ X0 ) @ X2 ) ) ),
    inference(cnf,[status(esa)],[fact_324_insert__subset]) ).

thf(conj_6,conjecture,
    hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_f1631501043l_bool @ ord_le1311769555a_bool @ ( insert_a @ ( hAPP_pname_a @ mgt_call @ pn ) @ g ) ) @ ( image_pname_a @ mgt_call @ u ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_f1631501043l_bool @ ord_le1311769555a_bool @ ( insert_a @ ( hAPP_pname_a @ mgt_call @ pn ) @ g ) ) @ ( image_pname_a @ mgt_call @ u ) ) ),
    inference('cnf.neg',[status(esa)],[conj_6]) ).

thf(zip_derived_cl104,plain,
    ~ ( hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_f1631501043l_bool @ ord_le1311769555a_bool @ ( insert_a @ ( hAPP_pname_a @ mgt_call @ pn ) @ g ) ) @ ( image_pname_a @ mgt_call @ u ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl727,plain,
    ( ~ ( hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_a85458249l_bool @ member_a @ ( hAPP_pname_a @ mgt_call @ pn ) ) @ ( image_pname_a @ mgt_call @ u ) ) )
    | ~ ( hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_f1631501043l_bool @ ord_le1311769555a_bool @ g ) @ ( image_pname_a @ mgt_call @ u ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl104]) ).

thf(conj_1,axiom,
    hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_f1631501043l_bool @ ord_le1311769555a_bool @ g ) @ ( image_pname_a @ mgt_call @ u ) ) ).

thf(zip_derived_cl100,plain,
    hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_f1631501043l_bool @ ord_le1311769555a_bool @ g ) @ ( image_pname_a @ mgt_call @ u ) ),
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl742,plain,
    ~ ( hBOOL @ ( hAPP_fun_a_bool_bool @ ( hAPP_a85458249l_bool @ member_a @ ( hAPP_pname_a @ mgt_call @ pn ) ) @ ( image_pname_a @ mgt_call @ u ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl727,zip_derived_cl100]) ).

thf(zip_derived_cl751,plain,
    ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ pn ) @ u ) ),
    inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl742]) ).

thf(conj_4,axiom,
    hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ pn ) @ u ) ).

thf(zip_derived_cl102,plain,
    hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ pn ) @ u ),
    inference(cnf,[status(esa)],[conj_4]) ).

thf(zip_derived_cl770,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl751,zip_derived_cl102]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SWW473_2 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BLJGDEVpTz true
% 0.19/0.36  % Computer : n022.cluster.edu
% 0.19/0.36  % Model    : x86_64 x86_64
% 0.19/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.36  % Memory   : 8042.1875MB
% 0.19/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.36  % CPULimit : 300
% 0.19/0.36  % WCLimit  : 300
% 0.19/0.36  % DateTime : Sun Aug 27 22:30:39 EDT 2023
% 0.19/0.36  % CPUTime  : 
% 0.19/0.36  % Running portfolio for 300 s
% 0.19/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.37  % Number of cores: 8
% 0.19/0.37  % Python version: Python 3.6.8
% 0.19/0.37  % Running in FO mode
% 0.23/0.66  % Total configuration time : 435
% 0.23/0.66  % Estimated wc time : 1092
% 0.23/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 2.49/1.05  % Solved by fo/fo4.sh.
% 2.49/1.05  % done 211 iterations in 0.253s
% 2.49/1.05  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.49/1.05  % SZS output start Refutation
% See solution above
% 2.49/1.05  
% 2.49/1.05  
% 2.49/1.05  % Terminating...
% 3.62/1.17  % Runner terminated.
% 3.62/1.18  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------