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/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AqrmHflXXg 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 1.33s 1.14s
% Output   : Refutation 1.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   31 (  10 unt;  16 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       :    2 (   0 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(ord_le1311769555a_bool_type,type,
    ord_le1311769555a_bool: $i ).

thf(pn_type,type,
    pn: $i ).

thf(mgt_call_type,type,
    mgt_call: $i ).

thf(g_type,type,
    g: $i ).

thf(image_pname_a_type,type,
    image_pname_a: $i > $i > $i ).

thf(insert_a_type,type,
    insert_a: $i > $i > $i ).

thf(hAPP_f1631501043l_bool_type,type,
    hAPP_f1631501043l_bool: $i > $i > $i ).

thf(member_pname_type,type,
    member_pname: $i ).

thf(hAPP_p338031245l_bool_type,type,
    hAPP_p338031245l_bool: $i > $i > $i ).

thf(member_a_type,type,
    member_a: $i ).

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

thf(hAPP_fun_a_bool_bool_type,type,
    hAPP_fun_a_bool_bool: $i > $i > $i ).

thf(u_type,type,
    u: $i ).

thf(hAPP_f1664156314l_bool_type,type,
    hAPP_f1664156314l_bool: $i > $i > $i ).

thf(hAPP_a85458249l_bool_type,type,
    hAPP_a85458249l_bool: $i > $i > $i ).

thf(hAPP_pname_a_type,type,
    hAPP_pname_a: $i > $i > $i ).

thf(fact_307_imageI,axiom,
    ! [F: $i,X_3: $i,A_1: $i] :
      ( ( 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_cl47,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( 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: $i,A_1: $i,B_6: $i] :
      ( ( 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_cl52,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( 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_cl114,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_cl1414,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_cl52,zip_derived_cl114]) ).

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_cl111,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_cl1439,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_cl1414,zip_derived_cl111]) ).

thf(zip_derived_cl1668,plain,
    ~ ( hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ pn ) @ u ) ),
    inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl1439]) ).

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

thf(zip_derived_cl112,plain,
    hBOOL @ ( hAPP_f1664156314l_bool @ ( hAPP_p338031245l_bool @ member_pname @ pn ) @ u ),
    inference(cnf,[status(esa)],[conj_4]) ).

thf(zip_derived_cl1698,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1668,zip_derived_cl112]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWW473+2 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AqrmHflXXg true
% 0.13/0.35  % Computer : n022.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 : Sun Aug 27 22:12:54 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.22/0.57  % Total configuration time : 435
% 0.22/0.57  % Estimated wc time : 1092
% 0.22/0.58  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.33/1.14  % Solved by fo/fo4.sh.
% 1.33/1.14  % done 286 iterations in 0.386s
% 1.33/1.14  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.33/1.14  % SZS output start Refutation
% See solution above
% 1.33/1.14  
% 1.33/1.14  
% 1.33/1.14  % Terminating...
% 1.33/1.20  % Runner terminated.
% 1.87/1.22  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------