TSTP Solution File: SWW474_2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW474_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.CmwTLAOSPd true

% Computer : n031.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 01:42:14 EDT 2023

% Result   : Theorem 7.67s 1.68s
% Output   : Refutation 7.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   59
% Syntax   : Number of formulae    :  111 (  36 unt;  46 typ;   0 def)
%            Number of atoms       :  102 (  36 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  343 (  32   ~;  28   |;   0   &; 274   @)
%                                         (   2 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :   18 (  17 usr)
%            Number of type conns  :   24 (  24   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   31 (  29 usr;  15 con; 0-2 aty)
%            Number of variables   :   46 (   0   ^;  46   !;   0   ?;  46   :)

% Comments : 
%------------------------------------------------------------------------------
thf(option_com_type,type,
    option_com: $tType ).

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

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

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

thf(bool_type,type,
    bool: $tType ).

thf(fun_com_bool_type,type,
    fun_com_bool: $tType ).

thf(fun_Ho1996104121e_bool_type,type,
    fun_Ho1996104121e_bool: $tType ).

thf(hoare_1875481847_state_type,type,
    hoare_1875481847_state: $tType ).

thf(fun_fu1296727421e_bool_type,type,
    fun_fu1296727421e_bool: $tType ).

thf(fun_fu689207471l_bool_type,type,
    fun_fu689207471l_bool: $tType ).

thf(fun_fu1176632176e_bool_type,type,
    fun_fu1176632176e_bool: $tType ).

thf(fun_pn664418900_state_type,type,
    fun_pn664418900_state: $tType ).

thf(fun_fu973320112_state_type,type,
    fun_fu973320112_state: $tType ).

thf(fun_co2032091866_state_type,type,
    fun_co2032091866_state: $tType ).

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

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

thf(fun_Ho1110608055e_bool_type,type,
    fun_Ho1110608055e_bool: $tType ).

thf(bot_bo1715400655e_bool_type,type,
    bot_bo1715400655e_bool: fun_Ho1996104121e_bool ).

thf(body_type,type,
    body: fun_pname_option_com ).

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

thf(hAPP_H1625489667e_bool_type,type,
    hAPP_H1625489667e_bool: fun_Ho1110608055e_bool > hoare_1875481847_state > fun_fu1296727421e_bool ).

thf(insert694999549_state_type,type,
    insert694999549_state: fun_Ho1110608055e_bool ).

thf(wT_bodies_type,type,
    wT_bodies: bool ).

thf(fFalse_type,type,
    fFalse: bool ).

thf(hAPP_f2031411714_state_type,type,
    hAPP_f2031411714_state: fun_fu973320112_state > fun_pname_com > fun_pn664418900_state ).

thf(wt_type,type,
    wt: fun_com_bool ).

thf(collec1735317154_state_type,type,
    collec1735317154_state: fun_fu1296727421e_bool ).

thf(hAPP_f1408815105l_bool_type,type,
    hAPP_f1408815105l_bool: fun_fu689207471l_bool > fun_Ho1996104121e_bool > bool ).

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

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

thf(hAPP_com_bool_type,type,
    hAPP_com_bool: fun_com_bool > com > bool ).

thf(hAPP_f121055253e_bool_type,type,
    hAPP_f121055253e_bool: fun_fu1296727421e_bool > fun_Ho1996104121e_bool > fun_Ho1996104121e_bool ).

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

thf(fTrue_type,type,
    fTrue: bool ).

thf(hAPP_c406083500_state_type,type,
    hAPP_c406083500_state: fun_co2032091866_state > com > hoare_1875481847_state ).

thf(hoare_Mirabelle_MGT_type,type,
    hoare_Mirabelle_MGT: fun_co2032091866_state ).

thf(y_type,type,
    y: com ).

thf(hoare_1239590103gleton_type,type,
    hoare_1239590103gleton: bool ).

thf(body_1_type,type,
    body_1: fun_pname_com ).

thf(pn_type,type,
    pn: pname ).

thf(bot_bot_bool_type,type,
    bot_bot_bool: bool ).

thf(hAPP_f1291720380e_bool_type,type,
    hAPP_f1291720380e_bool: fun_fu1176632176e_bool > fun_pname_bool > fun_Ho1996104121e_bool ).

thf(hoare_2131502867_state_type,type,
    hoare_2131502867_state: fun_Ho1996104121e_bool > fun_fu689207471l_bool ).

thf(hAPP_H1173941847e_bool_type,type,
    hAPP_H1173941847e_bool: fun_Ho1996104121e_bool > hoare_1875481847_state > bool ).

thf(image_1283223414_state_type,type,
    image_1283223414_state: fun_pn664418900_state > fun_fu1176632176e_bool ).

thf(cOMBB_1364904209_pname_type,type,
    cOMBB_1364904209_pname: fun_co2032091866_state > fun_fu973320112_state ).

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

thf(zip_derived_cl1172,plain,
    ( ( hAPP_p799580910on_com @ body @ pn )
    = ( some_com @ y ) ),
    inference(cnf,[status(esa)],[conj_5]) ).

thf(fact_215_WT__bodiesD,axiom,
    ! [Pn: pname,B_4: com] :
      ( ( hBOOL @ wT_bodies )
     => ( ( ( hAPP_p799580910on_com @ body @ Pn )
          = ( some_com @ B_4 ) )
       => ( hBOOL @ ( hAPP_com_bool @ wt @ B_4 ) ) ) ) ).

thf(zip_derived_cl305,plain,
    ! [X0: com,X1: pname] :
      ( ~ ( hBOOL @ wT_bodies )
      | ( hBOOL @ ( hAPP_com_bool @ wt @ X0 ) )
      | ( ( hAPP_p799580910on_com @ body @ X1 )
       != ( some_com @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_215_WT__bodiesD]) ).

thf(conj_1,axiom,
    hBOOL @ wT_bodies ).

thf(zip_derived_cl1168,plain,
    hBOOL @ wT_bodies,
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl5933,plain,
    ! [X0: com,X1: pname] :
      ( ( hBOOL @ ( hAPP_com_bool @ wt @ X0 ) )
      | ( ( hAPP_p799580910on_com @ body @ X1 )
       != ( some_com @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl305,zip_derived_cl1168]) ).

thf(zip_derived_cl5934,plain,
    ! [X0: com] :
      ( ( hBOOL @ ( hAPP_com_bool @ wt @ X0 ) )
      | ( ( some_com @ y )
       != ( some_com @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1172,zip_derived_cl5933]) ).

thf(zip_derived_cl6703,plain,
    hBOOL @ ( hAPP_com_bool @ wt @ y ),
    inference(eq_res,[status(thm)],[zip_derived_cl5934]) ).

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

thf(zip_derived_cl1069,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_cl1068,plain,
    ~ ( hBOOL @ fFalse ),
    inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).

thf(zip_derived_cl1244,plain,
    ! [X0: bool] :
      ( ( X0 = fTrue )
      | ~ ( hBOOL @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1069,zip_derived_cl1068]) ).

thf(zip_derived_cl1168_001,plain,
    hBOOL @ wT_bodies,
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl1291,plain,
    wT_bodies = fTrue,
    inference('s_sup+',[status(thm)],[zip_derived_cl1244,zip_derived_cl1168]) ).

thf(zip_derived_cl1069_002,plain,
    ! [X0: bool] :
      ( ( X0 = fFalse )
      | ( X0 = fTrue ) ),
    inference(cnf,[status(esa)],[help_fFalse_1_1_T]) ).

thf(zip_derived_cl1330,plain,
    ! [X0: bool] :
      ( ( X0 = fFalse )
      | ( X0 = wT_bodies ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1291,zip_derived_cl1069]) ).

thf(zip_derived_cl1168_003,plain,
    hBOOL @ wT_bodies,
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl1460,plain,
    ! [X0: bool] :
      ( ( X0 = fFalse )
      | ( hBOOL @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1330,zip_derived_cl1168]) ).

thf(zip_derived_cl1460_004,plain,
    ! [X0: bool] :
      ( ( X0 = fFalse )
      | ( hBOOL @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1330,zip_derived_cl1168]) ).

thf(fact_374_bot__apply,axiom,
    ! [X_1: hoare_1875481847_state] :
      ( ( hBOOL @ ( hAPP_H1173941847e_bool @ bot_bo1715400655e_bool @ X_1 ) )
    <=> ( hBOOL @ bot_bot_bool ) ) ).

thf(zip_derived_cl600,plain,
    ! [X0: hoare_1875481847_state] :
      ( ( hBOOL @ ( hAPP_H1173941847e_bool @ bot_bo1715400655e_bool @ X0 ) )
      | ~ ( hBOOL @ bot_bot_bool ) ),
    inference(cnf,[status(esa)],[fact_374_bot__apply]) ).

thf(zip_derived_cl1460_005,plain,
    ! [X0: bool] :
      ( ( X0 = fFalse )
      | ( hBOOL @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1330,zip_derived_cl1168]) ).

thf(fact_71_Collect__empty__eq,axiom,
    ! [P_1: fun_Ho1996104121e_bool] :
      ( ( ( hAPP_f121055253e_bool @ collec1735317154_state @ P_1 )
        = bot_bo1715400655e_bool )
    <=> ! [X_2: hoare_1875481847_state] :
          ~ ( hBOOL @ ( hAPP_H1173941847e_bool @ P_1 @ X_2 ) ) ) ).

thf(zip_derived_cl83,plain,
    ! [X0: fun_Ho1996104121e_bool,X1: hoare_1875481847_state] :
      ( ~ ( hBOOL @ ( hAPP_H1173941847e_bool @ X0 @ X1 ) )
      | ( ( hAPP_f121055253e_bool @ collec1735317154_state @ X0 )
       != bot_bo1715400655e_bool ) ),
    inference(cnf,[status(esa)],[fact_71_Collect__empty__eq]) ).

thf(fact_177_Collect__def,axiom,
    ! [P_1: fun_Ho1996104121e_bool] :
      ( ( hAPP_f121055253e_bool @ collec1735317154_state @ P_1 )
      = P_1 ) ).

thf(zip_derived_cl248,plain,
    ! [X0: fun_Ho1996104121e_bool] :
      ( ( hAPP_f121055253e_bool @ collec1735317154_state @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[fact_177_Collect__def]) ).

thf(zip_derived_cl1859,plain,
    ! [X0: fun_Ho1996104121e_bool,X1: hoare_1875481847_state] :
      ( ~ ( hBOOL @ ( hAPP_H1173941847e_bool @ X0 @ X1 ) )
      | ( X0 != bot_bo1715400655e_bool ) ),
    inference(demod,[status(thm)],[zip_derived_cl83,zip_derived_cl248]) ).

thf(zip_derived_cl1860,plain,
    ! [X0: hoare_1875481847_state] :
      ~ ( hBOOL @ ( hAPP_H1173941847e_bool @ bot_bo1715400655e_bool @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1859]) ).

thf(zip_derived_cl1861,plain,
    ! [X0: hoare_1875481847_state] :
      ( ( hAPP_H1173941847e_bool @ bot_bo1715400655e_bool @ X0 )
      = fFalse ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1460,zip_derived_cl1860]) ).

thf(zip_derived_cl1068_006,plain,
    ~ ( hBOOL @ fFalse ),
    inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).

thf(zip_derived_cl1866,plain,
    ~ ( hBOOL @ bot_bot_bool ),
    inference(demod,[status(thm)],[zip_derived_cl600,zip_derived_cl1861,zip_derived_cl1068]) ).

thf(zip_derived_cl1890,plain,
    bot_bot_bool = fFalse,
    inference('s_sup-',[status(thm)],[zip_derived_cl1460,zip_derived_cl1866]) ).

thf(zip_derived_cl1909,plain,
    ! [X0: bool] :
      ( ( X0 = bot_bot_bool )
      | ( hBOOL @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1460,zip_derived_cl1890]) ).

thf(zip_derived_cl1460_007,plain,
    ! [X0: bool] :
      ( ( X0 = fFalse )
      | ( hBOOL @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1330,zip_derived_cl1168]) ).

thf(conj_7,conjecture,
    hBOOL @ ( hAPP_f1408815105l_bool @ ( hoare_2131502867_state @ ( hAPP_f1291720380e_bool @ ( image_1283223414_state @ ( hAPP_f2031411714_state @ ( cOMBB_1364904209_pname @ hoare_Mirabelle_MGT ) @ body_1 ) ) @ ( dom_pname_com @ body ) ) ) @ ( hAPP_f121055253e_bool @ ( hAPP_H1625489667e_bool @ insert694999549_state @ ( hAPP_c406083500_state @ hoare_Mirabelle_MGT @ y ) ) @ bot_bo1715400655e_bool ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( hBOOL @ ( hAPP_f1408815105l_bool @ ( hoare_2131502867_state @ ( hAPP_f1291720380e_bool @ ( image_1283223414_state @ ( hAPP_f2031411714_state @ ( cOMBB_1364904209_pname @ hoare_Mirabelle_MGT ) @ body_1 ) ) @ ( dom_pname_com @ body ) ) ) @ ( hAPP_f121055253e_bool @ ( hAPP_H1625489667e_bool @ insert694999549_state @ ( hAPP_c406083500_state @ hoare_Mirabelle_MGT @ y ) ) @ bot_bo1715400655e_bool ) ) ),
    inference('cnf.neg',[status(esa)],[conj_7]) ).

thf(zip_derived_cl1174,plain,
    ~ ( hBOOL @ ( hAPP_f1408815105l_bool @ ( hoare_2131502867_state @ ( hAPP_f1291720380e_bool @ ( image_1283223414_state @ ( hAPP_f2031411714_state @ ( cOMBB_1364904209_pname @ hoare_Mirabelle_MGT ) @ body_1 ) ) @ ( dom_pname_com @ body ) ) ) @ ( hAPP_f121055253e_bool @ ( hAPP_H1625489667e_bool @ insert694999549_state @ ( hAPP_c406083500_state @ hoare_Mirabelle_MGT @ y ) ) @ bot_bo1715400655e_bool ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1549,plain,
    ( ( hAPP_f1408815105l_bool @ ( hoare_2131502867_state @ ( hAPP_f1291720380e_bool @ ( image_1283223414_state @ ( hAPP_f2031411714_state @ ( cOMBB_1364904209_pname @ hoare_Mirabelle_MGT ) @ body_1 ) ) @ ( dom_pname_com @ body ) ) ) @ ( hAPP_f121055253e_bool @ ( hAPP_H1625489667e_bool @ insert694999549_state @ ( hAPP_c406083500_state @ hoare_Mirabelle_MGT @ y ) ) @ bot_bo1715400655e_bool ) )
    = fFalse ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1460,zip_derived_cl1174]) ).

thf(zip_derived_cl1890_008,plain,
    bot_bot_bool = fFalse,
    inference('s_sup-',[status(thm)],[zip_derived_cl1460,zip_derived_cl1866]) ).

thf(zip_derived_cl1910,plain,
    ( ( hAPP_f1408815105l_bool @ ( hoare_2131502867_state @ ( hAPP_f1291720380e_bool @ ( image_1283223414_state @ ( hAPP_f2031411714_state @ ( cOMBB_1364904209_pname @ hoare_Mirabelle_MGT ) @ body_1 ) ) @ ( dom_pname_com @ body ) ) ) @ ( hAPP_f121055253e_bool @ ( hAPP_H1625489667e_bool @ insert694999549_state @ ( hAPP_c406083500_state @ hoare_Mirabelle_MGT @ y ) ) @ bot_bo1715400655e_bool ) )
    = bot_bot_bool ),
    inference(demod,[status(thm)],[zip_derived_cl1549,zip_derived_cl1890]) ).

thf(fact_53_MGF,axiom,
    ! [C: com] :
      ( ( hBOOL @ hoare_1239590103gleton )
     => ( ( hBOOL @ wT_bodies )
       => ( ( hBOOL @ ( hAPP_com_bool @ wt @ C ) )
         => ( hBOOL @ ( hAPP_f1408815105l_bool @ ( hoare_2131502867_state @ bot_bo1715400655e_bool ) @ ( hAPP_f121055253e_bool @ ( hAPP_H1625489667e_bool @ insert694999549_state @ ( hAPP_c406083500_state @ hoare_Mirabelle_MGT @ C ) ) @ bot_bo1715400655e_bool ) ) ) ) ) ) ).

thf(zip_derived_cl60,plain,
    ! [X0: com] :
      ( ~ ( hBOOL @ wT_bodies )
      | ~ ( hBOOL @ hoare_1239590103gleton )
      | ~ ( hBOOL @ ( hAPP_com_bool @ wt @ X0 ) )
      | ( hBOOL @ ( hAPP_f1408815105l_bool @ ( hoare_2131502867_state @ bot_bo1715400655e_bool ) @ ( hAPP_f121055253e_bool @ ( hAPP_H1625489667e_bool @ insert694999549_state @ ( hAPP_c406083500_state @ hoare_Mirabelle_MGT @ X0 ) ) @ bot_bo1715400655e_bool ) ) ) ),
    inference(cnf,[status(esa)],[fact_53_MGF]) ).

thf(zip_derived_cl1168_009,plain,
    hBOOL @ wT_bodies,
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl1244_010,plain,
    ! [X0: bool] :
      ( ( X0 = fTrue )
      | ~ ( hBOOL @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1069,zip_derived_cl1068]) ).

thf(zip_derived_cl1291_011,plain,
    wT_bodies = fTrue,
    inference('s_sup+',[status(thm)],[zip_derived_cl1244,zip_derived_cl1168]) ).

thf(zip_derived_cl1326,plain,
    ! [X0: bool] :
      ( ( X0 = wT_bodies )
      | ~ ( hBOOL @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1244,zip_derived_cl1291]) ).

thf(conj_0,axiom,
    hBOOL @ hoare_1239590103gleton ).

thf(zip_derived_cl1167,plain,
    hBOOL @ hoare_1239590103gleton,
    inference(cnf,[status(esa)],[conj_0]) ).

thf(zip_derived_cl1341,plain,
    hoare_1239590103gleton = wT_bodies,
    inference('s_sup+',[status(thm)],[zip_derived_cl1326,zip_derived_cl1167]) ).

thf(zip_derived_cl1168_012,plain,
    hBOOL @ wT_bodies,
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl2488,plain,
    ! [X0: com] :
      ( ~ ( hBOOL @ ( hAPP_com_bool @ wt @ X0 ) )
      | ( hBOOL @ ( hAPP_f1408815105l_bool @ ( hoare_2131502867_state @ bot_bo1715400655e_bool ) @ ( hAPP_f121055253e_bool @ ( hAPP_H1625489667e_bool @ insert694999549_state @ ( hAPP_c406083500_state @ hoare_Mirabelle_MGT @ X0 ) ) @ bot_bo1715400655e_bool ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl1168,zip_derived_cl1341,zip_derived_cl1168]) ).

thf(fact_0_empty,axiom,
    ! [G_1: fun_Ho1996104121e_bool] : ( hBOOL @ ( hAPP_f1408815105l_bool @ ( hoare_2131502867_state @ G_1 ) @ bot_bo1715400655e_bool ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: fun_Ho1996104121e_bool] : ( hBOOL @ ( hAPP_f1408815105l_bool @ ( hoare_2131502867_state @ X0 ) @ bot_bo1715400655e_bool ) ),
    inference(cnf,[status(esa)],[fact_0_empty]) ).

thf(fact_4_cut,axiom,
    ! [G_1: fun_Ho1996104121e_bool,G_2: fun_Ho1996104121e_bool,Ts: fun_Ho1996104121e_bool] :
      ( ( hBOOL @ ( hAPP_f1408815105l_bool @ ( hoare_2131502867_state @ G_2 ) @ Ts ) )
     => ( ( hBOOL @ ( hAPP_f1408815105l_bool @ ( hoare_2131502867_state @ G_1 ) @ G_2 ) )
       => ( hBOOL @ ( hAPP_f1408815105l_bool @ ( hoare_2131502867_state @ G_1 ) @ Ts ) ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: fun_Ho1996104121e_bool,X1: fun_Ho1996104121e_bool,X2: fun_Ho1996104121e_bool] :
      ( ~ ( hBOOL @ ( hAPP_f1408815105l_bool @ ( hoare_2131502867_state @ X0 ) @ X1 ) )
      | ~ ( hBOOL @ ( hAPP_f1408815105l_bool @ ( hoare_2131502867_state @ X1 ) @ X2 ) )
      | ( hBOOL @ ( hAPP_f1408815105l_bool @ ( hoare_2131502867_state @ X0 ) @ X2 ) ) ),
    inference(cnf,[status(esa)],[fact_4_cut]) ).

thf(zip_derived_cl1217,plain,
    ! [X0: fun_Ho1996104121e_bool,X1: fun_Ho1996104121e_bool] :
      ( ~ ( hBOOL @ ( hAPP_f1408815105l_bool @ ( hoare_2131502867_state @ bot_bo1715400655e_bool ) @ X1 ) )
      | ( hBOOL @ ( hAPP_f1408815105l_bool @ ( hoare_2131502867_state @ X0 ) @ X1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).

thf(zip_derived_cl2494,plain,
    ! [X0: com,X1: fun_Ho1996104121e_bool] :
      ( ~ ( hBOOL @ ( hAPP_com_bool @ wt @ X0 ) )
      | ( hBOOL @ ( hAPP_f1408815105l_bool @ ( hoare_2131502867_state @ X1 ) @ ( hAPP_f121055253e_bool @ ( hAPP_H1625489667e_bool @ insert694999549_state @ ( hAPP_c406083500_state @ hoare_Mirabelle_MGT @ X0 ) ) @ bot_bo1715400655e_bool ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2488,zip_derived_cl1217]) ).

thf(zip_derived_cl2754,plain,
    ( ~ ( hBOOL @ ( hAPP_com_bool @ wt @ y ) )
    | ( hBOOL @ bot_bot_bool ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1910,zip_derived_cl2494]) ).

thf(zip_derived_cl1866_013,plain,
    ~ ( hBOOL @ bot_bot_bool ),
    inference(demod,[status(thm)],[zip_derived_cl600,zip_derived_cl1861,zip_derived_cl1068]) ).

thf(zip_derived_cl2759,plain,
    ~ ( hBOOL @ ( hAPP_com_bool @ wt @ y ) ),
    inference(demod,[status(thm)],[zip_derived_cl2754,zip_derived_cl1866]) ).

thf(zip_derived_cl2773,plain,
    ( ( hAPP_com_bool @ wt @ y )
    = bot_bot_bool ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1909,zip_derived_cl2759]) ).

thf(zip_derived_cl1866_014,plain,
    ~ ( hBOOL @ bot_bot_bool ),
    inference(demod,[status(thm)],[zip_derived_cl600,zip_derived_cl1861,zip_derived_cl1068]) ).

thf(zip_derived_cl6704,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl6703,zip_derived_cl2773,zip_derived_cl1866]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SWW474_2 : TPTP v8.1.2. Released v5.3.0.
% 0.11/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CmwTLAOSPd true
% 0.13/0.36  % Computer : n031.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Sun Aug 27 22:47:24 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.36/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 7.67/1.68  % Solved by fo/fo6_bce.sh.
% 7.67/1.68  % BCE start: 1175
% 7.67/1.68  % BCE eliminated: 0
% 7.67/1.68  % PE start: 1175
% 7.67/1.68  logic: eq
% 7.67/1.68  % PE eliminated: 2
% 7.67/1.68  % done 753 iterations in 0.950s
% 7.67/1.68  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.67/1.68  % SZS output start Refutation
% See solution above
% 7.67/1.68  
% 7.67/1.68  
% 7.67/1.68  % Terminating...
% 7.98/1.76  % Runner terminated.
% 7.98/1.77  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------