TSTP Solution File: SWW474_1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW474_1 : 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.8jhWBlaznQ true

% Computer : n015.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 01:42:13 EDT 2023

% Result   : Theorem 5.03s 1.27s
% Output   : Refutation 5.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   43
% Syntax   : Number of formulae    :   76 (  27 unt;  33 typ;   0 def)
%            Number of atoms       :   67 (  18 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  225 (  19   ~;  17   |;   0   &; 182   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :   13 (  12 usr)
%            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  21 usr;  11 con; 0-2 aty)
%            Number of variables   :   26 (   0   ^;  26   !;   0   ?;  26   :)

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

thf(fun_fu1783763359l_bool_type,type,
    fun_fu1783763359l_bool: $tType ).

thf(fun_Ho734851753e_bool_type,type,
    fun_Ho734851753e_bool: $tType ).

thf(fun_pn447269700_state_type,type,
    fun_pn447269700_state: $tType ).

thf(fun_co1814942666_state_type,type,
    fun_co1814942666_state: $tType ).

thf(fun_pname_com_type,type,
    fun_pname_com: $tType ).

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

thf(fun_pname_option_com_type,type,
    fun_pname_option_com: $tType ).

thf(hoare_1848483303_state_type,type,
    hoare_1848483303_state: $tType ).

thf(com_type,type,
    com: $tType ).

thf(option_com_type,type,
    option_com: $tType ).

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

thf(insert668001005_state_type,type,
    insert668001005_state: hoare_1848483303_state > fun_Ho734851753e_bool > fun_Ho734851753e_bool ).

thf(body_1_type,type,
    body_1: fun_pname_com ).

thf(some_com_type,type,
    some_com: com > option_com ).

thf(hoare_1310879719gleton_type,type,
    hoare_1310879719gleton: bool ).

thf(fTrue_type,type,
    fTrue: bool ).

thf(hAPP_f355887345l_bool_type,type,
    hAPP_f355887345l_bool: fun_fu1783763359l_bool > fun_Ho734851753e_bool > bool ).

thf(hAPP_c379084956_state_type,type,
    hAPP_c379084956_state: fun_co1814942666_state > com > hoare_1848483303_state ).

thf(wt_type,type,
    wt: com > bool ).

thf(body_type,type,
    body: fun_pname_option_com ).

thf(cOMBB_573322273_pname_type,type,
    cOMBB_573322273_pname: fun_co1814942666_state > fun_pname_com > fun_pn447269700_state ).

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

thf(dom_pname_com_type,type,
    dom_pname_com: fun_pname_option_com > fun_pname_bool ).

thf(hAPP_p799580910on_com_type,type,
    hAPP_p799580910on_com: fun_pname_option_com > pname > option_com ).

thf(hoare_Mirabelle_MGT_type,type,
    hoare_Mirabelle_MGT: fun_co1814942666_state ).

thf(fFalse_type,type,
    fFalse: bool ).

thf(image_1256224870_state_type,type,
    image_1256224870_state: fun_pn447269700_state > fun_pname_bool > fun_Ho734851753e_bool ).

thf(hoare_1193527299_state_type,type,
    hoare_1193527299_state: fun_Ho734851753e_bool > fun_fu1783763359l_bool ).

thf(wT_bodies_type,type,
    wT_bodies: bool ).

thf(y_type,type,
    y: com ).

thf(pn_type,type,
    pn: pname ).

thf(bot_bo454148287e_bool_type,type,
    bot_bo454148287e_bool: fun_Ho734851753e_bool ).

thf(conj_7,conjecture,
    hBOOL @ ( hAPP_f355887345l_bool @ ( hoare_1193527299_state @ ( image_1256224870_state @ ( cOMBB_573322273_pname @ hoare_Mirabelle_MGT @ body_1 ) @ ( dom_pname_com @ body ) ) ) @ ( insert668001005_state @ ( hAPP_c379084956_state @ hoare_Mirabelle_MGT @ y ) @ bot_bo454148287e_bool ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( hBOOL @ ( hAPP_f355887345l_bool @ ( hoare_1193527299_state @ ( image_1256224870_state @ ( cOMBB_573322273_pname @ hoare_Mirabelle_MGT @ body_1 ) @ ( dom_pname_com @ body ) ) ) @ ( insert668001005_state @ ( hAPP_c379084956_state @ hoare_Mirabelle_MGT @ y ) @ bot_bo454148287e_bool ) ) ),
    inference('cnf.neg',[status(esa)],[conj_7]) ).

thf(zip_derived_cl503,plain,
    ~ ( hBOOL @ ( hAPP_f355887345l_bool @ ( hoare_1193527299_state @ ( image_1256224870_state @ ( cOMBB_573322273_pname @ hoare_Mirabelle_MGT @ body_1 ) @ ( dom_pname_com @ body ) ) ) @ ( insert668001005_state @ ( hAPP_c379084956_state @ hoare_Mirabelle_MGT @ y ) @ bot_bo454148287e_bool ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(conj_5,axiom,
    ( ( hAPP_p799580910on_com @ body @ pn )
    = ( some_com @ y ) ) ).

thf(zip_derived_cl501,plain,
    ( ( hAPP_p799580910on_com @ body @ pn )
    = ( some_com @ y ) ),
    inference(cnf,[status(esa)],[conj_5]) ).

thf(fact_288_WT__bodiesD,axiom,
    ! [Pn: pname,B_2: com] :
      ( ( hBOOL @ wT_bodies )
     => ( ( ( hAPP_p799580910on_com @ body @ Pn )
          = ( some_com @ B_2 ) )
       => ( hBOOL @ ( wt @ B_2 ) ) ) ) ).

thf(zip_derived_cl395,plain,
    ! [X0: com,X1: pname] :
      ( ~ ( hBOOL @ wT_bodies )
      | ( hBOOL @ ( wt @ X0 ) )
      | ( ( hAPP_p799580910on_com @ body @ X1 )
       != ( some_com @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_288_WT__bodiesD]) ).

thf(help_fFalse_1_1_T,axiom,
    ! [P: bool] :
      ( ( P = fFalse )
      | ( P = fTrue ) ) ).

thf(zip_derived_cl438,plain,
    ! [X0: bool] :
      ( ( X0 = fFalse )
      | ( X0 = fTrue ) ),
    inference(cnf,[status(esa)],[help_fFalse_1_1_T]) ).

thf(help_fFalse_1_1_U,axiom,
    ~ ( hBOOL @ fFalse ) ).

thf(zip_derived_cl437,plain,
    ~ ( hBOOL @ fFalse ),
    inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).

thf(zip_derived_cl533,plain,
    ! [X0: bool] :
      ( ~ ( hBOOL @ X0 )
      | ( X0 = fTrue ) ),
    inference('sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl437]) ).

thf(conj_1,axiom,
    hBOOL @ wT_bodies ).

thf(zip_derived_cl497,plain,
    hBOOL @ wT_bodies,
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl621,plain,
    wT_bodies = fTrue,
    inference('sup+',[status(thm)],[zip_derived_cl533,zip_derived_cl497]) ).

thf(zip_derived_cl497_001,plain,
    hBOOL @ wT_bodies,
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl621_002,plain,
    wT_bodies = fTrue,
    inference('sup+',[status(thm)],[zip_derived_cl533,zip_derived_cl497]) ).

thf(zip_derived_cl643,plain,
    hBOOL @ fTrue,
    inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl621]) ).

thf(zip_derived_cl850,plain,
    ! [X0: com,X1: pname] :
      ( ( hBOOL @ ( wt @ X0 ) )
      | ( ( hAPP_p799580910on_com @ body @ X1 )
       != ( some_com @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl395,zip_derived_cl621,zip_derived_cl643]) ).

thf(zip_derived_cl851,plain,
    ! [X0: com] :
      ( ( ( some_com @ y )
       != ( some_com @ X0 ) )
      | ( hBOOL @ ( wt @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl501,zip_derived_cl850]) ).

thf(zip_derived_cl906,plain,
    hBOOL @ ( wt @ y ),
    inference(eq_res,[status(thm)],[zip_derived_cl851]) ).

thf(zip_derived_cl533_003,plain,
    ! [X0: bool] :
      ( ~ ( hBOOL @ X0 )
      | ( X0 = fTrue ) ),
    inference('sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl437]) ).

thf(zip_derived_cl925,plain,
    ( ( wt @ y )
    = fTrue ),
    inference('sup-',[status(thm)],[zip_derived_cl906,zip_derived_cl533]) ).

thf(fact_103_MGF,axiom,
    ! [C_1: com] :
      ( ( hBOOL @ hoare_1310879719gleton )
     => ( ( hBOOL @ wT_bodies )
       => ( ( hBOOL @ ( wt @ C_1 ) )
         => ( hBOOL @ ( hAPP_f355887345l_bool @ ( hoare_1193527299_state @ bot_bo454148287e_bool ) @ ( insert668001005_state @ ( hAPP_c379084956_state @ hoare_Mirabelle_MGT @ C_1 ) @ bot_bo454148287e_bool ) ) ) ) ) ) ).

thf(zip_derived_cl121,plain,
    ! [X0: com] :
      ( ~ ( hBOOL @ wT_bodies )
      | ~ ( hBOOL @ hoare_1310879719gleton )
      | ~ ( hBOOL @ ( wt @ X0 ) )
      | ( hBOOL @ ( hAPP_f355887345l_bool @ ( hoare_1193527299_state @ bot_bo454148287e_bool ) @ ( insert668001005_state @ ( hAPP_c379084956_state @ hoare_Mirabelle_MGT @ X0 ) @ bot_bo454148287e_bool ) ) ) ),
    inference(cnf,[status(esa)],[fact_103_MGF]) ).

thf(zip_derived_cl621_004,plain,
    wT_bodies = fTrue,
    inference('sup+',[status(thm)],[zip_derived_cl533,zip_derived_cl497]) ).

thf(zip_derived_cl643_005,plain,
    hBOOL @ fTrue,
    inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl621]) ).

thf(zip_derived_cl533_006,plain,
    ! [X0: bool] :
      ( ~ ( hBOOL @ X0 )
      | ( X0 = fTrue ) ),
    inference('sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl437]) ).

thf(conj_0,axiom,
    hBOOL @ hoare_1310879719gleton ).

thf(zip_derived_cl496,plain,
    hBOOL @ hoare_1310879719gleton,
    inference(cnf,[status(esa)],[conj_0]) ).

thf(zip_derived_cl622,plain,
    hoare_1310879719gleton = fTrue,
    inference('sup+',[status(thm)],[zip_derived_cl533,zip_derived_cl496]) ).

thf(zip_derived_cl643_007,plain,
    hBOOL @ fTrue,
    inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl621]) ).

thf(zip_derived_cl1820,plain,
    ! [X0: com] :
      ( ~ ( hBOOL @ ( wt @ X0 ) )
      | ( hBOOL @ ( hAPP_f355887345l_bool @ ( hoare_1193527299_state @ bot_bo454148287e_bool ) @ ( insert668001005_state @ ( hAPP_c379084956_state @ hoare_Mirabelle_MGT @ X0 ) @ bot_bo454148287e_bool ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl621,zip_derived_cl643,zip_derived_cl622,zip_derived_cl643]) ).

thf(zip_derived_cl1828,plain,
    ( ~ ( hBOOL @ fTrue )
    | ( hBOOL @ ( hAPP_f355887345l_bool @ ( hoare_1193527299_state @ bot_bo454148287e_bool ) @ ( insert668001005_state @ ( hAPP_c379084956_state @ hoare_Mirabelle_MGT @ y ) @ bot_bo454148287e_bool ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl925,zip_derived_cl1820]) ).

thf(zip_derived_cl643_008,plain,
    hBOOL @ fTrue,
    inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl621]) ).

thf(zip_derived_cl1831,plain,
    hBOOL @ ( hAPP_f355887345l_bool @ ( hoare_1193527299_state @ bot_bo454148287e_bool ) @ ( insert668001005_state @ ( hAPP_c379084956_state @ hoare_Mirabelle_MGT @ y ) @ bot_bo454148287e_bool ) ),
    inference(demod,[status(thm)],[zip_derived_cl1828,zip_derived_cl643]) ).

thf(fact_0_empty,axiom,
    ! [G: fun_Ho734851753e_bool] : ( hBOOL @ ( hAPP_f355887345l_bool @ ( hoare_1193527299_state @ G ) @ bot_bo454148287e_bool ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: fun_Ho734851753e_bool] : ( hBOOL @ ( hAPP_f355887345l_bool @ ( hoare_1193527299_state @ X0 ) @ bot_bo454148287e_bool ) ),
    inference(cnf,[status(esa)],[fact_0_empty]) ).

thf(fact_4_cut,axiom,
    ! [G: fun_Ho734851753e_bool,G_1: fun_Ho734851753e_bool,Ts: fun_Ho734851753e_bool] :
      ( ( hBOOL @ ( hAPP_f355887345l_bool @ ( hoare_1193527299_state @ G_1 ) @ Ts ) )
     => ( ( hBOOL @ ( hAPP_f355887345l_bool @ ( hoare_1193527299_state @ G ) @ G_1 ) )
       => ( hBOOL @ ( hAPP_f355887345l_bool @ ( hoare_1193527299_state @ G ) @ Ts ) ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: fun_Ho734851753e_bool,X1: fun_Ho734851753e_bool,X2: fun_Ho734851753e_bool] :
      ( ~ ( hBOOL @ ( hAPP_f355887345l_bool @ ( hoare_1193527299_state @ X0 ) @ X1 ) )
      | ~ ( hBOOL @ ( hAPP_f355887345l_bool @ ( hoare_1193527299_state @ X1 ) @ X2 ) )
      | ( hBOOL @ ( hAPP_f355887345l_bool @ ( hoare_1193527299_state @ X0 ) @ X2 ) ) ),
    inference(cnf,[status(esa)],[fact_4_cut]) ).

thf(zip_derived_cl616,plain,
    ! [X0: fun_Ho734851753e_bool,X1: fun_Ho734851753e_bool] :
      ( ( hBOOL @ ( hAPP_f355887345l_bool @ ( hoare_1193527299_state @ X0 ) @ X1 ) )
      | ~ ( hBOOL @ ( hAPP_f355887345l_bool @ ( hoare_1193527299_state @ bot_bo454148287e_bool ) @ X1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).

thf(zip_derived_cl1895,plain,
    ! [X0: fun_Ho734851753e_bool] : ( hBOOL @ ( hAPP_f355887345l_bool @ ( hoare_1193527299_state @ X0 ) @ ( insert668001005_state @ ( hAPP_c379084956_state @ hoare_Mirabelle_MGT @ y ) @ bot_bo454148287e_bool ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1831,zip_derived_cl616]) ).

thf(zip_derived_cl2238,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl503,zip_derived_cl1895]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SWW474_1 : 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.8jhWBlaznQ true
% 0.14/0.36  % Computer : n015.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Sun Aug 27 20:47:09 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.37  % Running in FO mode
% 0.22/0.56  % Total configuration time : 435
% 0.22/0.56  % Estimated wc time : 1092
% 0.22/0.56  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.03/1.27  % Solved by fo/fo5.sh.
% 5.03/1.27  % done 431 iterations in 0.505s
% 5.03/1.27  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.03/1.27  % SZS output start Refutation
% See solution above
% 5.03/1.27  
% 5.03/1.27  
% 5.03/1.27  % Terminating...
% 5.65/1.40  % Runner terminated.
% 5.65/1.42  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------