TSTP Solution File: SWW474+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW474+3 : 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.QMT7VDbQoE true

% Computer : n016.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 01:42:15 EDT 2023

% Result   : Theorem 6.89s 1.62s
% Output   : Refutation 6.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   52
% Syntax   : Number of formulae    :  122 (  48 unt;  33 typ;   0 def)
%            Number of atoms       :  148 (  57 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  441 (  39   ~;  49   |;   0   &; 343   @)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   27 (  27   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   35 (  33 usr;  17 con; 0-2 aty)
%            Number of variables   :   54 (   0   ^;  54   !;   0   ?;  54   :)

% Comments : 
%------------------------------------------------------------------------------
thf(pn_type,type,
    pn: $i ).

thf(fTrue_type,type,
    fTrue: $i ).

thf(insert1744391420_state_type,type,
    insert1744391420_state: $i ).

thf(body_type,type,
    body: $i ).

thf(hAPP_com_option_com_type,type,
    hAPP_com_option_com: $i > $i > $i ).

thf(wT_bodies_type,type,
    wT_bodies: $i ).

thf(dom_pname_com_type,type,
    dom_pname_com: $i > $i ).

thf(some_com_type,type,
    some_com: $i ).

thf(hAPP_H242767318e_bool_type,type,
    hAPP_H242767318e_bool: $i > $i > $i ).

thf(hoare_1795711768gleton_type,type,
    hoare_1795711768gleton: $i ).

thf(hAPP_f1378282496l_bool_type,type,
    hAPP_f1378282496l_bool: $i > $i > $i ).

thf(fFalse_type,type,
    fFalse: $i ).

thf(cOMBB_271860050_pname_type,type,
    cOMBB_271860050_pname: $i > $i ).

thf(collec637225377_state_type,type,
    collec637225377_state: $i ).

thf(bot_bot_bool_type,type,
    bot_bot_bool: $i ).

thf(hAPP_f806699093e_bool_type,type,
    hAPP_f806699093e_bool: $i > $i > $i ).

thf(hAPP_f360545851e_bool_type,type,
    hAPP_f360545851e_bool: $i > $i > $i ).

thf(image_185131637_state_type,type,
    image_185131637_state: $i > $i ).

thf(hAPP_c1455475371_state_type,type,
    hAPP_c1455475371_state: $i > $i > $i ).

thf(is_bool_type,type,
    is_bool: $i > $o ).

thf(finite1653727294m_bool_type,type,
    finite1653727294m_bool: $i > $i ).

thf(wt_type,type,
    wt: $i ).

thf(hAPP_p799580910on_com_type,type,
    hAPP_p799580910on_com: $i > $i > $i ).

thf(hoare_512830354_state_type,type,
    hoare_512830354_state: $i > $i ).

thf(hoare_Mirabelle_MGT_type,type,
    hoare_Mirabelle_MGT: $i ).

thf(insert_com_type,type,
    insert_com: $i ).

thf(bot_bo784226126e_bool_type,type,
    bot_bo784226126e_bool: $i ).

thf(hAPP_f1377420673_state_type,type,
    hAPP_f1377420673_state: $i > $i > $i ).

thf(hAPP_H1902130436e_bool_type,type,
    hAPP_H1902130436e_bool: $i > $i > $i ).

thf(hAPP_com_bool_type,type,
    hAPP_com_bool: $i > $i > $i ).

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

thf(body_1_type,type,
    body_1: $i ).

thf(y_type,type,
    y: $i ).

thf(help_fFalse_1_1_T,axiom,
    ! [P: $i] :
      ( ( is_bool @ P )
     => ( ( P = fTrue )
        | ( P = fFalse ) ) ) ).

thf(zip_derived_cl2093,plain,
    ! [X0: $i] :
      ( ( X0 = fFalse )
      | ( X0 = fTrue )
      | ~ ( is_bool @ X0 ) ),
    inference(cnf,[status(esa)],[help_fFalse_1_1_T]) ).

thf(zip_derived_cl2093_001,plain,
    ! [X0: $i] :
      ( ( X0 = fFalse )
      | ( X0 = fTrue )
      | ~ ( is_bool @ X0 ) ),
    inference(cnf,[status(esa)],[help_fFalse_1_1_T]) ).

thf(gsy_c_Orderings_Obot__class_Obot_000tc__HOL__Obool,axiom,
    is_bool @ bot_bot_bool ).

thf(zip_derived_cl34,plain,
    is_bool @ bot_bot_bool,
    inference(cnf,[status(esa)],[gsy_c_Orderings_Obot__class_Obot_000tc__HOL__Obool]) ).

thf(zip_derived_cl4544,plain,
    ( ( bot_bot_bool = fTrue )
    | ( bot_bot_bool = fFalse ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2093,zip_derived_cl34]) ).

thf(zip_derived_cl2093_002,plain,
    ! [X0: $i] :
      ( ( X0 = fFalse )
      | ( X0 = fTrue )
      | ~ ( is_bool @ X0 ) ),
    inference(cnf,[status(esa)],[help_fFalse_1_1_T]) ).

thf(gsy_c_Finite__Set_Ocomp__fun__idem_000tc__Com__Ocom_000tc__fun_Itc__Com__Ocom_Mt,axiom,
    ! [B_1_1: $i] : ( is_bool @ ( finite1653727294m_bool @ B_1_1 ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i] : ( is_bool @ ( finite1653727294m_bool @ X0 ) ),
    inference(cnf,[status(esa)],[gsy_c_Finite__Set_Ocomp__fun__idem_000tc__Com__Ocom_000tc__fun_Itc__Com__Ocom_Mt]) ).

thf(zip_derived_cl4523,plain,
    ! [X0: $i] :
      ( ( ( finite1653727294m_bool @ X0 )
        = fTrue )
      | ( ( finite1653727294m_bool @ X0 )
        = fFalse ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2093,zip_derived_cl1]) ).

thf(fact_1089_comp__fun__idem__insert,axiom,
    hBOOL @ ( finite1653727294m_bool @ insert_com ) ).

thf(zip_derived_cl1925,plain,
    hBOOL @ ( finite1653727294m_bool @ insert_com ),
    inference(cnf,[status(esa)],[fact_1089_comp__fun__idem__insert]) ).

thf(zip_derived_cl4616,plain,
    ( ( ( finite1653727294m_bool @ insert_com )
      = fFalse )
    | ( hBOOL @ fTrue ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl4523,zip_derived_cl1925]) ).

thf(zip_derived_cl1925_003,plain,
    hBOOL @ ( finite1653727294m_bool @ insert_com ),
    inference(cnf,[status(esa)],[fact_1089_comp__fun__idem__insert]) ).

thf(zip_derived_cl4633,plain,
    ( ( hBOOL @ fTrue )
    | ( hBOOL @ fFalse ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl4616,zip_derived_cl1925]) ).

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

thf(zip_derived_cl2092,plain,
    ~ ( hBOOL @ fFalse ),
    inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).

thf(zip_derived_cl4634,plain,
    hBOOL @ fTrue,
    inference(demod,[status(thm)],[zip_derived_cl4633,zip_derived_cl2092]) ).

thf(zip_derived_cl4636,plain,
    ( ( bot_bot_bool = fFalse )
    | ( hBOOL @ bot_bot_bool ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl4544,zip_derived_cl4634]) ).

thf(fact_523_bot__apply,axiom,
    ! [X_1: $i] :
      ( ( hBOOL @ ( hAPP_H242767318e_bool @ bot_bo784226126e_bool @ X_1 ) )
    <=> ( hBOOL @ bot_bot_bool ) ) ).

thf(zip_derived_cl993,plain,
    ! [X0: $i] :
      ( ( hBOOL @ ( hAPP_H242767318e_bool @ bot_bo784226126e_bool @ X0 ) )
      | ~ ( hBOOL @ bot_bot_bool ) ),
    inference(cnf,[status(esa)],[fact_523_bot__apply]) ).

thf(zip_derived_cl4640,plain,
    ! [X0: $i] :
      ( ( bot_bot_bool = fFalse )
      | ( hBOOL @ ( hAPP_H242767318e_bool @ bot_bo784226126e_bool @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4636,zip_derived_cl993]) ).

thf(fact_93_Collect__empty__eq,axiom,
    ! [P_1: $i] :
      ( ( ( hAPP_f806699093e_bool @ collec637225377_state @ P_1 )
        = bot_bo784226126e_bool )
    <=> ! [X_2: $i] :
          ~ ( hBOOL @ ( hAPP_H242767318e_bool @ P_1 @ X_2 ) ) ) ).

thf(zip_derived_cl193,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( hBOOL @ ( hAPP_H242767318e_bool @ X0 @ X1 ) )
      | ( ( hAPP_f806699093e_bool @ collec637225377_state @ X0 )
       != bot_bo784226126e_bool ) ),
    inference(cnf,[status(esa)],[fact_93_Collect__empty__eq]) ).

thf(fact_240_Collect__def,axiom,
    ! [P_1: $i] :
      ( ( hAPP_f806699093e_bool @ collec637225377_state @ P_1 )
      = P_1 ) ).

thf(zip_derived_cl425,plain,
    ! [X0: $i] :
      ( ( hAPP_f806699093e_bool @ collec637225377_state @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[fact_240_Collect__def]) ).

thf(zip_derived_cl4508,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( hBOOL @ ( hAPP_H242767318e_bool @ X0 @ X1 ) )
      | ( X0 != bot_bo784226126e_bool ) ),
    inference(demod,[status(thm)],[zip_derived_cl193,zip_derived_cl425]) ).

thf(zip_derived_cl4509,plain,
    ! [X0: $i] :
      ~ ( hBOOL @ ( hAPP_H242767318e_bool @ bot_bo784226126e_bool @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl4508]) ).

thf(zip_derived_cl4646,plain,
    bot_bot_bool = fFalse,
    inference(clc,[status(thm)],[zip_derived_cl4640,zip_derived_cl4509]) ).

thf(zip_derived_cl4652,plain,
    ! [X0: $i] :
      ( ( X0 = bot_bot_bool )
      | ( X0 = fTrue )
      | ~ ( is_bool @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2093,zip_derived_cl4646]) ).

thf(gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____uwgpyvfjxg__Otriple_Itc__Com__O_005,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1378282496l_bool @ B_1_1 @ B_2_1 ) ) ).

thf(zip_derived_cl71,plain,
    ! [X0: $i,X1: $i] : ( is_bool @ ( hAPP_f1378282496l_bool @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____uwgpyvfjxg__Otriple_Itc__Com__O_005]) ).

thf(zip_derived_cl4699,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( hAPP_f1378282496l_bool @ X1 @ X0 )
        = fTrue )
      | ( ( hAPP_f1378282496l_bool @ X1 @ X0 )
        = bot_bot_bool ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl4652,zip_derived_cl71]) ).

thf(conj_7,conjecture,
    hBOOL @ ( hAPP_f1378282496l_bool @ ( hoare_512830354_state @ ( hAPP_f360545851e_bool @ ( image_185131637_state @ ( hAPP_f1377420673_state @ ( cOMBB_271860050_pname @ hoare_Mirabelle_MGT ) @ body_1 ) ) @ ( dom_pname_com @ body ) ) ) @ ( hAPP_f806699093e_bool @ ( hAPP_H1902130436e_bool @ insert1744391420_state @ ( hAPP_c1455475371_state @ hoare_Mirabelle_MGT @ y ) ) @ bot_bo784226126e_bool ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( hBOOL @ ( hAPP_f1378282496l_bool @ ( hoare_512830354_state @ ( hAPP_f360545851e_bool @ ( image_185131637_state @ ( hAPP_f1377420673_state @ ( cOMBB_271860050_pname @ hoare_Mirabelle_MGT ) @ body_1 ) ) @ ( dom_pname_com @ body ) ) ) @ ( hAPP_f806699093e_bool @ ( hAPP_H1902130436e_bool @ insert1744391420_state @ ( hAPP_c1455475371_state @ hoare_Mirabelle_MGT @ y ) ) @ bot_bo784226126e_bool ) ) ),
    inference('cnf.neg',[status(esa)],[conj_7]) ).

thf(zip_derived_cl2243,plain,
    ~ ( hBOOL @ ( hAPP_f1378282496l_bool @ ( hoare_512830354_state @ ( hAPP_f360545851e_bool @ ( image_185131637_state @ ( hAPP_f1377420673_state @ ( cOMBB_271860050_pname @ hoare_Mirabelle_MGT ) @ body_1 ) ) @ ( dom_pname_com @ body ) ) ) @ ( hAPP_f806699093e_bool @ ( hAPP_H1902130436e_bool @ insert1744391420_state @ ( hAPP_c1455475371_state @ hoare_Mirabelle_MGT @ y ) ) @ bot_bo784226126e_bool ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5301,plain,
    ( ( ( hAPP_f1378282496l_bool @ ( hoare_512830354_state @ ( hAPP_f360545851e_bool @ ( image_185131637_state @ ( hAPP_f1377420673_state @ ( cOMBB_271860050_pname @ hoare_Mirabelle_MGT ) @ body_1 ) ) @ ( dom_pname_com @ body ) ) ) @ ( hAPP_f806699093e_bool @ ( hAPP_H1902130436e_bool @ insert1744391420_state @ ( hAPP_c1455475371_state @ hoare_Mirabelle_MGT @ y ) ) @ bot_bo784226126e_bool ) )
      = bot_bot_bool )
    | ~ ( hBOOL @ fTrue ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4699,zip_derived_cl2243]) ).

thf(zip_derived_cl4634_004,plain,
    hBOOL @ fTrue,
    inference(demod,[status(thm)],[zip_derived_cl4633,zip_derived_cl2092]) ).

thf(zip_derived_cl5360,plain,
    ( ( hAPP_f1378282496l_bool @ ( hoare_512830354_state @ ( hAPP_f360545851e_bool @ ( image_185131637_state @ ( hAPP_f1377420673_state @ ( cOMBB_271860050_pname @ hoare_Mirabelle_MGT ) @ body_1 ) ) @ ( dom_pname_com @ body ) ) ) @ ( hAPP_f806699093e_bool @ ( hAPP_H1902130436e_bool @ insert1744391420_state @ ( hAPP_c1455475371_state @ hoare_Mirabelle_MGT @ y ) ) @ bot_bo784226126e_bool ) )
    = bot_bot_bool ),
    inference(demod,[status(thm)],[zip_derived_cl5301,zip_derived_cl4634]) ).

thf(zip_derived_cl4699_005,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( hAPP_f1378282496l_bool @ X1 @ X0 )
        = fTrue )
      | ( ( hAPP_f1378282496l_bool @ X1 @ X0 )
        = bot_bot_bool ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl4652,zip_derived_cl71]) ).

thf(fact_0_empty,axiom,
    ! [G_2: $i] : ( hBOOL @ ( hAPP_f1378282496l_bool @ ( hoare_512830354_state @ G_2 ) @ bot_bo784226126e_bool ) ) ).

thf(zip_derived_cl82,plain,
    ! [X0: $i] : ( hBOOL @ ( hAPP_f1378282496l_bool @ ( hoare_512830354_state @ X0 ) @ bot_bo784226126e_bool ) ),
    inference(cnf,[status(esa)],[fact_0_empty]) ).

thf(fact_4_cut,axiom,
    ! [G_2: $i,G_3: $i,Ts: $i] :
      ( ( hBOOL @ ( hAPP_f1378282496l_bool @ ( hoare_512830354_state @ G_3 ) @ Ts ) )
     => ( ( hBOOL @ ( hAPP_f1378282496l_bool @ ( hoare_512830354_state @ G_2 ) @ G_3 ) )
       => ( hBOOL @ ( hAPP_f1378282496l_bool @ ( hoare_512830354_state @ G_2 ) @ Ts ) ) ) ) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( hBOOL @ ( hAPP_f1378282496l_bool @ ( hoare_512830354_state @ X0 ) @ X1 ) )
      | ~ ( hBOOL @ ( hAPP_f1378282496l_bool @ ( hoare_512830354_state @ X1 ) @ X2 ) )
      | ( hBOOL @ ( hAPP_f1378282496l_bool @ ( hoare_512830354_state @ X0 ) @ X2 ) ) ),
    inference(cnf,[status(esa)],[fact_4_cut]) ).

thf(zip_derived_cl4770,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( hBOOL @ ( hAPP_f1378282496l_bool @ ( hoare_512830354_state @ bot_bo784226126e_bool ) @ X1 ) )
      | ( hBOOL @ ( hAPP_f1378282496l_bool @ ( hoare_512830354_state @ X0 ) @ X1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl86]) ).

thf(zip_derived_cl5291,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( hAPP_f1378282496l_bool @ ( hoare_512830354_state @ bot_bo784226126e_bool ) @ X0 )
        = bot_bot_bool )
      | ~ ( hBOOL @ fTrue )
      | ( hBOOL @ ( hAPP_f1378282496l_bool @ ( hoare_512830354_state @ X1 ) @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4699,zip_derived_cl4770]) ).

thf(zip_derived_cl4634_006,plain,
    hBOOL @ fTrue,
    inference(demod,[status(thm)],[zip_derived_cl4633,zip_derived_cl2092]) ).

thf(zip_derived_cl5350,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( hAPP_f1378282496l_bool @ ( hoare_512830354_state @ bot_bo784226126e_bool ) @ X0 )
        = bot_bot_bool )
      | ( hBOOL @ ( hAPP_f1378282496l_bool @ ( hoare_512830354_state @ X1 ) @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5291,zip_derived_cl4634]) ).

thf(zip_derived_cl5587,plain,
    ( ( ( hAPP_f1378282496l_bool @ ( hoare_512830354_state @ bot_bo784226126e_bool ) @ ( hAPP_f806699093e_bool @ ( hAPP_H1902130436e_bool @ insert1744391420_state @ ( hAPP_c1455475371_state @ hoare_Mirabelle_MGT @ y ) ) @ bot_bo784226126e_bool ) )
      = bot_bot_bool )
    | ( hBOOL @ bot_bot_bool ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl5360,zip_derived_cl5350]) ).

thf(zip_derived_cl2092_007,plain,
    ~ ( hBOOL @ fFalse ),
    inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).

thf(zip_derived_cl4646_008,plain,
    bot_bot_bool = fFalse,
    inference(clc,[status(thm)],[zip_derived_cl4640,zip_derived_cl4509]) ).

thf(zip_derived_cl4651,plain,
    ~ ( hBOOL @ bot_bot_bool ),
    inference(demod,[status(thm)],[zip_derived_cl2092,zip_derived_cl4646]) ).

thf(zip_derived_cl5590,plain,
    ( ( hAPP_f1378282496l_bool @ ( hoare_512830354_state @ bot_bo784226126e_bool ) @ ( hAPP_f806699093e_bool @ ( hAPP_H1902130436e_bool @ insert1744391420_state @ ( hAPP_c1455475371_state @ hoare_Mirabelle_MGT @ y ) ) @ bot_bo784226126e_bool ) )
    = bot_bot_bool ),
    inference(demod,[status(thm)],[zip_derived_cl5587,zip_derived_cl4651]) ).

thf(fact_66_MGF,axiom,
    ! [C: $i] :
      ( ( hBOOL @ hoare_1795711768gleton )
     => ( ( hBOOL @ wT_bodies )
       => ( ( hBOOL @ ( hAPP_com_bool @ wt @ C ) )
         => ( hBOOL @ ( hAPP_f1378282496l_bool @ ( hoare_512830354_state @ bot_bo784226126e_bool ) @ ( hAPP_f806699093e_bool @ ( hAPP_H1902130436e_bool @ insert1744391420_state @ ( hAPP_c1455475371_state @ hoare_Mirabelle_MGT @ C ) ) @ bot_bo784226126e_bool ) ) ) ) ) ) ).

thf(zip_derived_cl157,plain,
    ! [X0: $i] :
      ( ~ ( hBOOL @ wT_bodies )
      | ~ ( hBOOL @ hoare_1795711768gleton )
      | ~ ( hBOOL @ ( hAPP_com_bool @ wt @ X0 ) )
      | ( hBOOL @ ( hAPP_f1378282496l_bool @ ( hoare_512830354_state @ bot_bo784226126e_bool ) @ ( hAPP_f806699093e_bool @ ( hAPP_H1902130436e_bool @ insert1744391420_state @ ( hAPP_c1455475371_state @ hoare_Mirabelle_MGT @ X0 ) ) @ bot_bo784226126e_bool ) ) ) ),
    inference(cnf,[status(esa)],[fact_66_MGF]) ).

thf(conj_1,axiom,
    hBOOL @ wT_bodies ).

thf(zip_derived_cl2237,plain,
    hBOOL @ wT_bodies,
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl2093_009,plain,
    ! [X0: $i] :
      ( ( X0 = fFalse )
      | ( X0 = fTrue )
      | ~ ( is_bool @ X0 ) ),
    inference(cnf,[status(esa)],[help_fFalse_1_1_T]) ).

thf(gsy_c_Hoare__Mirabelle__uwgpyvfjxg_Ostate__not__singleton,axiom,
    is_bool @ hoare_1795711768gleton ).

thf(zip_derived_cl25,plain,
    is_bool @ hoare_1795711768gleton,
    inference(cnf,[status(esa)],[gsy_c_Hoare__Mirabelle__uwgpyvfjxg_Ostate__not__singleton]) ).

thf(zip_derived_cl4540,plain,
    ( ( hoare_1795711768gleton = fTrue )
    | ( hoare_1795711768gleton = fFalse ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2093,zip_derived_cl25]) ).

thf(zip_derived_cl2093_010,plain,
    ! [X0: $i] :
      ( ( X0 = fFalse )
      | ( X0 = fTrue )
      | ~ ( is_bool @ X0 ) ),
    inference(cnf,[status(esa)],[help_fFalse_1_1_T]) ).

thf(gsy_c_Com_OWT__bodies,axiom,
    is_bool @ wT_bodies ).

thf(zip_derived_cl0,plain,
    is_bool @ wT_bodies,
    inference(cnf,[status(esa)],[gsy_c_Com_OWT__bodies]) ).

thf(zip_derived_cl4522,plain,
    ( ( wT_bodies = fTrue )
    | ( wT_bodies = fFalse ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2093,zip_derived_cl0]) ).

thf(zip_derived_cl4584,plain,
    ( ( hoare_1795711768gleton = fFalse )
    | ( wT_bodies = hoare_1795711768gleton )
    | ( wT_bodies = fFalse ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl4540,zip_derived_cl4522]) ).

thf(zip_derived_cl2092_011,plain,
    ~ ( hBOOL @ fFalse ),
    inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).

thf(zip_derived_cl4595,plain,
    ( ( wT_bodies = fFalse )
    | ( wT_bodies = hoare_1795711768gleton )
    | ~ ( hBOOL @ hoare_1795711768gleton ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4584,zip_derived_cl2092]) ).

thf(conj_0,axiom,
    hBOOL @ hoare_1795711768gleton ).

thf(zip_derived_cl2236,plain,
    hBOOL @ hoare_1795711768gleton,
    inference(cnf,[status(esa)],[conj_0]) ).

thf(zip_derived_cl4597,plain,
    ( ( wT_bodies = fFalse )
    | ( wT_bodies = hoare_1795711768gleton ) ),
    inference(demod,[status(thm)],[zip_derived_cl4595,zip_derived_cl2236]) ).

thf(zip_derived_cl2092_012,plain,
    ~ ( hBOOL @ fFalse ),
    inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).

thf(zip_derived_cl4602,plain,
    ( ( wT_bodies = hoare_1795711768gleton )
    | ~ ( hBOOL @ wT_bodies ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4597,zip_derived_cl2092]) ).

thf(zip_derived_cl2237_013,plain,
    hBOOL @ wT_bodies,
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl4603,plain,
    wT_bodies = hoare_1795711768gleton,
    inference(demod,[status(thm)],[zip_derived_cl4602,zip_derived_cl2237]) ).

thf(zip_derived_cl2237_014,plain,
    hBOOL @ wT_bodies,
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl4894,plain,
    ! [X0: $i] :
      ( ~ ( hBOOL @ ( hAPP_com_bool @ wt @ X0 ) )
      | ( hBOOL @ ( hAPP_f1378282496l_bool @ ( hoare_512830354_state @ bot_bo784226126e_bool ) @ ( hAPP_f806699093e_bool @ ( hAPP_H1902130436e_bool @ insert1744391420_state @ ( hAPP_c1455475371_state @ hoare_Mirabelle_MGT @ X0 ) ) @ bot_bo784226126e_bool ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl157,zip_derived_cl2237,zip_derived_cl4603,zip_derived_cl2237]) ).

thf(zip_derived_cl5605,plain,
    ( ~ ( hBOOL @ ( hAPP_com_bool @ wt @ y ) )
    | ( hBOOL @ bot_bot_bool ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl5590,zip_derived_cl4894]) ).

thf(zip_derived_cl4651_015,plain,
    ~ ( hBOOL @ bot_bot_bool ),
    inference(demod,[status(thm)],[zip_derived_cl2092,zip_derived_cl4646]) ).

thf(zip_derived_cl5614,plain,
    ~ ( hBOOL @ ( hAPP_com_bool @ wt @ y ) ),
    inference(demod,[status(thm)],[zip_derived_cl5605,zip_derived_cl4651]) ).

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

thf(zip_derived_cl2241,plain,
    ( ( hAPP_p799580910on_com @ body @ pn )
    = ( hAPP_com_option_com @ some_com @ y ) ),
    inference(cnf,[status(esa)],[conj_5]) ).

thf(fact_297_WT__bodiesD,axiom,
    ! [Pn: $i,B_4: $i] :
      ( ( hBOOL @ wT_bodies )
     => ( ( ( hAPP_p799580910on_com @ body @ Pn )
          = ( hAPP_com_option_com @ some_com @ B_4 ) )
       => ( hBOOL @ ( hAPP_com_bool @ wt @ B_4 ) ) ) ) ).

thf(zip_derived_cl508,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( hBOOL @ wT_bodies )
      | ( hBOOL @ ( hAPP_com_bool @ wt @ X0 ) )
      | ( ( hAPP_p799580910on_com @ body @ X1 )
       != ( hAPP_com_option_com @ some_com @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_297_WT__bodiesD]) ).

thf(zip_derived_cl2237_016,plain,
    hBOOL @ wT_bodies,
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl5148,plain,
    ! [X0: $i,X1: $i] :
      ( ( hBOOL @ ( hAPP_com_bool @ wt @ X0 ) )
      | ( ( hAPP_p799580910on_com @ body @ X1 )
       != ( hAPP_com_option_com @ some_com @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl508,zip_derived_cl2237]) ).

thf(zip_derived_cl5149,plain,
    ! [X0: $i] :
      ( ( hBOOL @ ( hAPP_com_bool @ wt @ X0 ) )
      | ( ( hAPP_com_option_com @ some_com @ y )
       != ( hAPP_com_option_com @ some_com @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2241,zip_derived_cl5148]) ).

thf(zip_derived_cl6282,plain,
    hBOOL @ ( hAPP_com_bool @ wt @ y ),
    inference(eq_res,[status(thm)],[zip_derived_cl5149]) ).

thf(zip_derived_cl6283,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl5614,zip_derived_cl6282]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWW474+3 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QMT7VDbQoE true
% 0.13/0.35  % Computer : n016.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 18:47:43 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.21/0.66  % Total configuration time : 435
% 0.21/0.66  % Estimated wc time : 1092
% 0.21/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 6.89/1.62  % Solved by fo/fo6_bce.sh.
% 6.89/1.62  % BCE start: 2244
% 6.89/1.62  % BCE eliminated: 5
% 6.89/1.62  % PE start: 2239
% 6.89/1.62  logic: eq
% 6.89/1.62  % PE eliminated: 28
% 6.89/1.62  % done 869 iterations in 0.897s
% 6.89/1.62  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.89/1.62  % SZS output start Refutation
% See solution above
% 6.89/1.63  
% 6.89/1.63  
% 6.89/1.63  % Terminating...
% 7.50/1.69  % Runner terminated.
% 7.50/1.70  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------