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LEO-II---2.3.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : ITP135^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Oct  7 10:24:16 AM UTC 2026

% Result   : Theorem 11.39s 2.24s
% Output   : CNFRefutation 2.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   25
% Syntax   : Number of formulae    : 1474 ( 193 unt;   0 typ;   0 def)
%            Number of atoms       : 14513 (5897 equ;   0 cnn)
%            Maximal formula atoms :   10 (   9 avg)
%            Number of connectives : 9920 (2602   ~;3787   |;  18   &;3447   @)
%                                         (   0 <=>;  66  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Number of types       :   23 (  22 usr)
%            Number of type conns  :  283 ( 283   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  151 ( 148 usr;  16 con; 0-4 aty)
%            Number of variables   : 1346 (  36   ^;1310   !;   0   ?;1346   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_list_char,type,
    list_char: $tType ).

thf(tp_nat,type,
    nat: $tType ).

thf(tp_paraco1604210848lle_fm,type,
    paraco1604210848lle_fm: $tType ).

thf(tp_paraco1605129243lle_tv,type,
    paraco1605129243lle_tv: $tType ).

thf(tp_produc1443694919lle_tv,type,
    produc1443694919lle_tv: $tType ).

thf(tp_produc1647334210lle_tv,type,
    produc1647334210lle_tv: $tType ).

thf(tp_produc194167194tv_nat,type,
    produc194167194tv_nat: $tType ).

thf(tp_produc270694976lle_tv,type,
    produc270694976lle_tv: $tType ).

thf(tp_produc596913417at_nat,type,
    produc596913417at_nat: $tType ).

thf(tp_produc696645085lle_fm,type,
    produc696645085lle_fm: $tType ).

thf(tp_produc931990033lle_tv,type,
    produc931990033lle_tv: $tType ).

thf(tp_product_prod_nat_nat,type,
    product_prod_nat_nat: $tType ).

thf(tp_set_Pa1764573435lle_tv,type,
    set_Pa1764573435lle_tv: $tType ).

thf(tp_set_Pr13445366lle_tv,type,
    set_Pr13445366lle_tv: $tType ).

thf(tp_set_Pr1723822845lle_tv,type,
    set_Pr1723822845lle_tv: $tType ).

thf(tp_set_Pr1725653840tv_nat,type,
    set_Pr1725653840tv_nat: $tType ).

thf(tp_set_Pr1986765409at_nat,type,
    set_Pr1986765409at_nat: $tType ).

thf(tp_set_Pr2014382200lle_tv,type,
    set_Pr2014382200lle_tv: $tType ).

thf(tp_set_Pr2120184979lle_fm,type,
    set_Pr2120184979lle_fm: $tType ).

thf(tp_set_Pr560526279lle_tv,type,
    set_Pr560526279lle_tv: $tType ).

thf(tp_set_Pr840833727at_nat,type,
    set_Pr840833727at_nat: $tType ).

thf(tp_set_nat,type,
    set_nat: $tType ).

thf(tp_accp_P2085826120lle_tv,type,
    accp_P2085826120lle_tv: ( produc931990033lle_tv > produc931990033lle_tv > $o ) > produc931990033lle_tv > $o ).

thf(tp_collec1111687558lle_tv,type,
    collec1111687558lle_tv: ( paraco1605129243lle_tv > $o ) > set_Pa1764573435lle_tv ).

thf(tp_collec1288997470at_nat,type,
    collec1288997470at_nat: ( produc596913417at_nat > $o ) > set_Pr840833727at_nat ).

thf(tp_collec1582599068lle_tv,type,
    collec1582599068lle_tv: ( produc1443694919lle_tv > $o ) > set_Pr1723822845lle_tv ).

thf(tp_collec1624074086lle_tv,type,
    collec1624074086lle_tv: ( produc931990033lle_tv > $o ) > set_Pr560526279lle_tv ).

thf(tp_collec7649004at_nat,type,
    collec7649004at_nat: ( product_prod_nat_nat > $o ) > set_Pr1986765409at_nat ).

thf(tp_collec835549234lle_fm,type,
    collec835549234lle_fm: ( produc696645085lle_fm > $o ) > set_Pr2120184979lle_fm ).

thf(tp_collec848462447tv_nat,type,
    collec848462447tv_nat: ( produc194167194tv_nat > $o ) > set_Pr1725653840tv_nat ).

thf(tp_collec924990229lle_tv,type,
    collec924990229lle_tv: ( produc270694976lle_tv > $o ) > set_Pr13445366lle_tv ).

thf(tp_collect_nat,type,
    collect_nat: ( nat > $o ) > set_nat ).

thf(tp_f,type,
    f: nat > nat ).

thf(tp_i,type,
    i: list_char > paraco1605129243lle_tv ).

thf(tp_if_Par1134130401lle_tv,type,
    if_Par1134130401lle_tv: $o > paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv ).

thf(tp_image_1151963140lle_tv,type,
    image_1151963140lle_tv: ( nat > paraco1605129243lle_tv ) > set_nat > set_Pa1764573435lle_tv ).

thf(tp_image_1154804148lle_tv,type,
    image_1154804148lle_tv: ( produc696645085lle_fm > produc931990033lle_tv ) > set_Pr2120184979lle_fm > set_Pr560526279lle_tv ).

thf(tp_image_1200372424lle_tv,type,
    image_1200372424lle_tv: ( produc194167194tv_nat > produc270694976lle_tv ) > set_Pr1725653840tv_nat > set_Pr13445366lle_tv ).

thf(tp_image_149830562lle_tv,type,
    image_149830562lle_tv: ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > set_Pr13445366lle_tv ).

thf(tp_image_1507992062lle_tv,type,
    image_1507992062lle_tv: ( product_prod_nat_nat > produc1647334210lle_tv ) > set_Pr1986765409at_nat > set_Pr2014382200lle_tv ).

thf(tp_image_1585092542lle_fm,type,
    image_1585092542lle_fm: ( produc931990033lle_tv > produc696645085lle_fm ) > set_Pr560526279lle_tv > set_Pr2120184979lle_fm ).

thf(tp_image_1597721174tv_nat,type,
    image_1597721174tv_nat: ( product_prod_nat_nat > produc194167194tv_nat ) > set_Pr1986765409at_nat > set_Pr1725653840tv_nat ).

thf(tp_image_1674248956lle_tv,type,
    image_1674248956lle_tv: ( product_prod_nat_nat > produc270694976lle_tv ) > set_Pr1986765409at_nat > set_Pr13445366lle_tv ).

thf(tp_image_1724396928at_nat,type,
    image_1724396928at_nat: ( produc931990033lle_tv > produc596913417at_nat ) > set_Pr560526279lle_tv > set_Pr840833727at_nat ).

thf(tp_image_1751508608lle_tv,type,
    image_1751508608lle_tv: ( produc931990033lle_tv > produc931990033lle_tv ) > set_Pr560526279lle_tv > set_Pr560526279lle_tv ).

thf(tp_image_1787705850at_nat,type,
    image_1787705850at_nat: ( produc270694976lle_tv > product_prod_nat_nat ) > set_Pr13445366lle_tv > set_Pr1986765409at_nat ).

thf(tp_image_1805124128at_nat,type,
    image_1805124128at_nat: ( produc194167194tv_nat > product_prod_nat_nat ) > set_Pr1725653840tv_nat > set_Pr1986765409at_nat ).

thf(tp_image_326034184lle_fm,type,
    image_326034184lle_fm: ( produc1443694919lle_tv > produc696645085lle_fm ) > set_Pr1723822845lle_tv > set_Pr2120184979lle_fm ).

thf(tp_image_335818702lle_tv,type,
    image_335818702lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ).

thf(tp_image_376325286tv_nat,type,
    image_376325286tv_nat: ( paraco1605129243lle_tv > nat ) > set_Pa1764573435lle_tv > set_nat ).

thf(tp_image_53754658tv_nat,type,
    image_53754658tv_nat: ( produc270694976lle_tv > produc194167194tv_nat ) > set_Pr13445366lle_tv > set_Pr1725653840tv_nat ).

thf(tp_image_769496456lle_tv,type,
    image_769496456lle_tv: ( produc596913417at_nat > produc931990033lle_tv ) > set_Pr840833727at_nat > set_Pr560526279lle_tv ).

thf(tp_image_807538418lle_fm,type,
    image_807538418lle_fm: ( produc696645085lle_fm > produc696645085lle_fm ) > set_Pr2120184979lle_fm > set_Pr2120184979lle_fm ).

thf(tp_image_815163717at_nat,type,
    image_815163717at_nat: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1986765409at_nat > set_Pr1986765409at_nat ).

thf(tp_image_924970994lle_tv,type,
    image_924970994lle_tv: ( produc696645085lle_fm > produc1443694919lle_tv ) > set_Pr2120184979lle_fm > set_Pr1723822845lle_tv ).

thf(tp_image_988201162lle_tv,type,
    image_988201162lle_tv: ( produc270694976lle_tv > produc1647334210lle_tv ) > set_Pr13445366lle_tv > set_Pr2014382200lle_tv ).

thf(tp_image_nat_nat,type,
    image_nat_nat: ( nat > nat ) > set_nat > set_nat ).

thf(tp_inj_on1179712058tv_nat,type,
    inj_on1179712058tv_nat: ( paraco1605129243lle_tv > nat ) > set_Pa1764573435lle_tv > $o ).

thf(tp_inj_on1745913142lle_tv,type,
    inj_on1745913142lle_tv: ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > $o ).

thf(tp_inj_on1955349912lle_tv,type,
    inj_on1955349912lle_tv: ( nat > paraco1605129243lle_tv ) > set_nat > $o ).

thf(tp_inj_on2112487900lle_tv,type,
    inj_on2112487900lle_tv: ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > $o ).

thf(tp_inj_on26176689at_nat,type,
    inj_on26176689at_nat: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1986765409at_nat > $o ).

thf(tp_inj_on552895452tv_nat,type,
    inj_on552895452tv_nat: ( produc194167194tv_nat > produc194167194tv_nat ) > set_Pr1725653840tv_nat > $o ).

thf(tp_inj_on772319074lle_tv,type,
    inj_on772319074lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > $o ).

thf(tp_inj_on_nat_nat,type,
    inj_on_nat_nat: ( nat > nat ) > set_nat > $o ).

thf(tp_inv_im1292588663lle_tv,type,
    inv_im1292588663lle_tv: set_Pr1986765409at_nat > ( paraco1605129243lle_tv > nat ) > set_Pr2014382200lle_tv ).

thf(tp_inv_im516950809tv_nat,type,
    inv_im516950809tv_nat: set_Pr2014382200lle_tv > ( nat > paraco1605129243lle_tv ) > set_Pr1986765409at_nat ).

thf(tp_inv_im719552961lle_tv,type,
    inv_im719552961lle_tv: set_Pr2014382200lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pr2014382200lle_tv ).

thf(tp_inv_image_nat_nat,type,
    inv_image_nat_nat: set_Pr1986765409at_nat > ( nat > nat ) > set_Pr1986765409at_nat ).

thf(tp_member1234290208at_nat,type,
    member1234290208at_nat: produc596913417at_nat > set_Pr840833727at_nat > $o ).

thf(tp_member1474794996lle_fm,type,
    member1474794996lle_fm: produc696645085lle_fm > set_Pr2120184979lle_fm > $o ).

thf(tp_member1531318361lle_tv,type,
    member1531318361lle_tv: produc1647334210lle_tv > set_Pr2014382200lle_tv > $o ).

thf(tp_member1569366824lle_tv,type,
    member1569366824lle_tv: produc931990033lle_tv > set_Pr560526279lle_tv > $o ).

thf(tp_member266900804lle_tv,type,
    member266900804lle_tv: paraco1605129243lle_tv > set_Pa1764573435lle_tv > $o ).

thf(tp_member701585322at_nat,type,
    member701585322at_nat: product_prod_nat_nat > set_Pr1986765409at_nat > $o ).

thf(tp_member737151281tv_nat,type,
    member737151281tv_nat: produc194167194tv_nat > set_Pr1725653840tv_nat > $o ).

thf(tp_member74361182lle_tv,type,
    member74361182lle_tv: produc1443694919lle_tv > set_Pr1723822845lle_tv > $o ).

thf(tp_member813679063lle_tv,type,
    member813679063lle_tv: produc270694976lle_tv > set_Pr13445366lle_tv > $o ).

thf(tp_member_nat,type,
    member_nat: nat > set_nat > $o ).

thf(tp_ord_le1007985907lle_fm,type,
    ord_le1007985907lle_fm: set_Pr2120184979lle_fm > set_Pr2120184979lle_fm > $o ).

thf(tp_ord_le1784136743lle_tv,type,
    ord_le1784136743lle_tv: set_Pr560526279lle_tv > set_Pr560526279lle_tv > $o ).

thf(tp_ord_le241064091lle_tv,type,
    ord_le241064091lle_tv: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > $o ).

thf(tp_ord_less_eq_set_nat,type,
    ord_less_eq_set_nat: set_nat > set_nat > $o ).

thf(tp_p1,type,
    p1: paraco1604210848lle_fm ).

thf(tp_p2,type,
    p2: paraco1604210848lle_fm ).

thf(tp_paraco1147068288nge_tv,type,
    paraco1147068288nge_tv: ( nat > nat ) > paraco1605129243lle_tv > paraco1605129243lle_tv ).

thf(tp_paraco1325918602e_eval,type,
    paraco1325918602e_eval: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > paraco1605129243lle_tv ).

thf(tp_paraco1344940915le_Det,type,
    paraco1344940915le_Det: $o > paraco1605129243lle_tv ).

thf(tp_paraco1389086619le_Eql,type,
    paraco1389086619le_Eql: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(tp_paraco1480028776le_Pro,type,
    paraco1480028776le_Pro: list_char > paraco1604210848lle_fm ).

thf(tp_paraco1632582009tv_rel,type,
    paraco1632582009tv_rel: produc931990033lle_tv > produc931990033lle_tv > $o ).

thf(tp_paraco1745535428le_Eql,type,
    paraco1745535428le_Eql: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(tp_paraco2051596139lle_tv,type,
    paraco2051596139lle_tv: ( $o > paraco1605129243lle_tv ) > ( nat > paraco1605129243lle_tv ) > paraco1605129243lle_tv > paraco1605129243lle_tv ).

thf(tp_paraco327635598_valid,type,
    paraco327635598_valid: paraco1604210848lle_fm > $o ).

thf(tp_paraco367965286_Truth,type,
    paraco367965286_Truth: paraco1604210848lle_fm ).

thf(tp_paraco445776468le_Neg,type,
    paraco445776468le_Neg: paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(tp_paraco55203475lid_in,type,
    paraco55203475lid_in: set_nat > paraco1604210848lle_fm > $o ).

thf(tp_paraco69239110le_Con,type,
    paraco69239110le_Con: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(tp_paraco761681009ge_int,type,
    paraco761681009ge_int: ( nat > nat ) > ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv ).

thf(tp_paraco793048302_Indet,type,
    paraco793048302_Indet: nat > paraco1605129243lle_tv ).

thf(tp_produc1000205111lle_fm,type,
    produc1000205111lle_fm: produc696645085lle_fm > produc1443694919lle_tv ).

thf(tp_produc109093078at_nat,type,
    produc109093078at_nat: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc931990033lle_tv > produc931990033lle_tv ).

thf(tp_produc1232814113lle_tv,type,
    produc1232814113lle_tv: produc1443694919lle_tv > produc696645085lle_fm ).

thf(tp_produc1250721397at_nat,type,
    produc1250721397at_nat: ( nat > paraco1605129243lle_tv ) > ( nat > nat ) > product_prod_nat_nat > produc194167194tv_nat ).

thf(tp_produc1345917071lle_tv,type,
    produc1345917071lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc1647334210lle_tv > produc1647334210lle_tv ).

thf(tp_produc148705065lle_fm,type,
    produc148705065lle_fm: produc696645085lle_fm > paraco1604210848lle_fm ).

thf(tp_produc1566550641lle_tv,type,
    produc1566550641lle_tv: ( ( list_char > paraco1605129243lle_tv ) > nat > nat ) > ( paraco1604210848lle_fm > paraco1605129243lle_tv ) > produc696645085lle_fm > produc931990033lle_tv ).

thf(tp_produc1589291287at_nat,type,
    produc1589291287at_nat: produc596913417at_nat > paraco1605129243lle_tv ).

thf(tp_produc1633679363at_nat,type,
    produc1633679363at_nat: paraco1605129243lle_tv > ( nat > nat ) > produc596913417at_nat ).

thf(tp_produc1636169559lle_tv,type,
    produc1636169559lle_tv: produc931990033lle_tv > nat > nat ).

thf(tp_produc1680557635lle_tv,type,
    produc1680557635lle_tv: ( nat > nat ) > paraco1605129243lle_tv > produc931990033lle_tv ).

thf(tp_produc1685803475tv_nat,type,
    produc1685803475tv_nat: ( nat > nat ) > ( paraco1605129243lle_tv > nat ) > produc270694976lle_tv > product_prod_nat_nat ).

thf(tp_produc1710735575lle_fm,type,
    produc1710735575lle_fm: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm ).

thf(tp_produc178635363at_nat,type,
    produc178635363at_nat: produc596913417at_nat > produc931990033lle_tv ).

thf(tp_produc1807466521lle_tv,type,
    produc1807466521lle_tv: ( paraco1604210848lle_fm > paraco1604210848lle_fm ) > produc696645085lle_fm > produc696645085lle_fm ).

thf(tp_produc189459613tv_nat,type,
    produc189459613tv_nat: ( nat > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > nat ) > produc270694976lle_tv > produc194167194tv_nat ).

thf(tp_produc1900967599lle_fm,type,
    produc1900967599lle_fm: ( ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv ) > ( paraco1604210848lle_fm > paraco1604210848lle_fm ) > produc696645085lle_fm > produc696645085lle_fm ).

thf(tp_produc1942165868lle_fm,type,
    produc1942165868lle_fm: ( ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv ) > produc696645085lle_fm > produc696645085lle_fm ).

thf(tp_produc1943344577lle_tv,type,
    produc1943344577lle_tv: paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc1443694919lle_tv ).

thf(tp_produc1975500101lle_tv,type,
    produc1975500101lle_tv: ( nat > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc270694976lle_tv > produc1647334210lle_tv ).

thf(tp_produc2101297531lle_tv,type,
    produc2101297531lle_tv: ( nat > nat ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc270694976lle_tv > produc270694976lle_tv ).

thf(tp_produc210389789lle_tv,type,
    produc210389789lle_tv: ( nat > paraco1605129243lle_tv ) > ( nat > paraco1605129243lle_tv ) > product_prod_nat_nat > produc1647334210lle_tv ).

thf(tp_produc225513635lle_tv,type,
    produc225513635lle_tv: produc931990033lle_tv > produc596913417at_nat ).

thf(tp_produc234482697lle_tv,type,
    produc234482697lle_tv: paraco1605129243lle_tv > paraco1605129243lle_tv > $o > paraco1605129243lle_tv ).

thf(tp_produc262413013lle_tv,type,
    produc262413013lle_tv: produc1443694919lle_tv > paraco1604210848lle_fm ).

thf(tp_produc275353523e_fm_o,type,
    produc275353523e_fm_o: ( produc696645085lle_fm > $o ) > ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o ).

thf(tp_produc29804011lle_fm,type,
    produc29804011lle_fm: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).

thf(tp_produc313957681lle_tv,type,
    produc313957681lle_tv: ( nat > nat ) > ( nat > paraco1605129243lle_tv ) > product_prod_nat_nat > produc270694976lle_tv ).

thf(tp_produc381314067lle_tv,type,
    produc381314067lle_tv: produc1443694919lle_tv > list_char > paraco1605129243lle_tv ).

thf(tp_produc386540311at_nat,type,
    produc386540311at_nat: ( paraco1605129243lle_tv > nat ) > ( nat > nat ) > produc194167194tv_nat > product_prod_nat_nat ).

thf(tp_produc42536895at_nat,type,
    produc42536895at_nat: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( nat > nat ) > produc194167194tv_nat > produc194167194tv_nat ).

thf(tp_produc500618325at_nat,type,
    produc500618325at_nat: produc596913417at_nat > nat > nat ).

thf(tp_produc505105722at_nat,type,
    produc505105722at_nat: ( nat > nat ) > ( nat > nat ) > product_prod_nat_nat > product_prod_nat_nat ).

thf(tp_produc532909085lle_tv,type,
    produc532909085lle_tv: ( ( nat > nat ) > nat > nat ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc931990033lle_tv > produc931990033lle_tv ).

thf(tp_produc547496597lle_tv,type,
    produc547496597lle_tv: produc931990033lle_tv > paraco1605129243lle_tv ).

thf(tp_produc72207551lle_tv,type,
    produc72207551lle_tv: ( paraco1605129243lle_tv > nat ) > ( nat > paraco1605129243lle_tv ) > produc194167194tv_nat > produc270694976lle_tv ).

thf(tp_produc752649287e_tv_o,type,
    produc752649287e_tv_o: ( produc931990033lle_tv > $o ) > ( nat > nat ) > paraco1605129243lle_tv > $o ).

thf(tp_produc939316703lle_tv,type,
    produc939316703lle_tv: ( ( nat > nat ) > nat > nat ) > produc931990033lle_tv > produc931990033lle_tv ).

thf(tp_produc951033137lle_fm,type,
    produc951033137lle_fm: ( ( nat > nat ) > list_char > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1604210848lle_fm ) > produc931990033lle_tv > produc696645085lle_fm ).

thf(tp_sK10_SY73,type,
    sK10_SY73: paraco1605129243lle_tv > ( nat > nat ) > ( ( nat > nat ) > paraco1605129243lle_tv > $o ) > nat > nat ).

thf(tp_sK11_SY104,type,
    sK11_SY104: ( nat > nat ) > paraco1605129243lle_tv > ( ( nat > nat ) > paraco1605129243lle_tv > $o ) > nat ).

thf(tp_sK1_SY75,type,
    sK1_SY75: paraco1605129243lle_tv > $o ).

thf(tp_sK2_SY62,type,
    sK2_SY62: paraco1605129243lle_tv > ( paraco1605129243lle_tv > $o ) > $o ).

thf(tp_sK3_SY71,type,
    sK3_SY71: paraco1605129243lle_tv > ( nat > nat ) > ( ( nat > nat ) > paraco1605129243lle_tv > $o ) > nat > nat ).

thf(tp_sK4_SY83,type,
    sK4_SY83: paraco1604210848lle_fm > list_char > paraco1605129243lle_tv ).

thf(tp_sK5_SY103,type,
    sK5_SY103: ( nat > nat ) > paraco1605129243lle_tv > ( ( nat > nat ) > paraco1605129243lle_tv > $o ) > $o ).

thf(tp_sK6_SY76,type,
    sK6_SY76: paraco1605129243lle_tv > nat ).

thf(tp_sK7_SY63,type,
    sK7_SY63: paraco1605129243lle_tv > ( paraco1605129243lle_tv > $o ) > nat ).

thf(tp_sK8_SY64,type,
    sK8_SY64: paraco1605129243lle_tv > nat ).

thf(tp_sK9_SY80,type,
    sK9_SY80: paraco1605129243lle_tv > ( paraco1605129243lle_tv > $o ) > nat ).

thf(tp_the_in452116896lle_tv,type,
    the_in452116896lle_tv: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv > paraco1605129243lle_tv ).

thf(tp_the_inv_into_nat_nat,type,
    the_inv_into_nat_nat: set_nat > ( nat > nat ) > nat > nat ).

thf(tp_top_to1057771083lle_tv,type,
    top_to1057771083lle_tv: set_Pa1764573435lle_tv ).

thf(tp_top_to1299250770e_tv_o,type,
    top_to1299250770e_tv_o: paraco1605129243lle_tv > $o ).

thf(tp_top_to1411004326lle_tv,type,
    top_to1411004326lle_tv: set_Pr13445366lle_tv ).

thf(tp_top_to1555900337at_nat,type,
    top_to1555900337at_nat: set_Pr1986765409at_nat ).

thf(tp_top_to1871154984lle_tv,type,
    top_to1871154984lle_tv: set_Pr2014382200lle_tv ).

thf(tp_top_to1889334367e_tv_o,type,
    top_to1889334367e_tv_o: produc270694976lle_tv > $o ).

thf(tp_top_to378694061lle_tv,type,
    top_to378694061lle_tv: set_Pr1723822845lle_tv ).

thf(tp_top_to449985143lle_tv,type,
    top_to449985143lle_tv: set_Pr560526279lle_tv ).

thf(tp_top_to632227436_nat_o,type,
    top_to632227436_nat_o: product_prod_nat_nat > $o ).

thf(tp_top_to730292591at_nat,type,
    top_to730292591at_nat: set_Pr840833727at_nat ).

thf(tp_top_to775056195lle_fm,type,
    top_to775056195lle_fm: set_Pr2120184979lle_fm ).

thf(tp_top_to900819589_nat_o,type,
    top_to900819589_nat_o: produc194167194tv_nat > $o ).

thf(tp_top_to975729152tv_nat,type,
    top_to975729152tv_nat: set_Pr1725653840tv_nat ).

thf(tp_top_top_nat_o,type,
    top_top_nat_o: nat > $o ).

thf(tp_top_top_o,type,
    top_top_o: $o ).

thf(tp_top_top_set_nat,type,
    top_top_set_nat: set_nat ).

thf(tp_total_1781621663lle_tv,type,
    total_1781621663lle_tv: set_Pa1764573435lle_tv > set_Pr2014382200lle_tv > $o ).

thf(tp_total_on_nat,type,
    total_on_nat: set_nat > set_Pr1986765409at_nat > $o ).

thf(3,axiom,
    ! [P3: $o] :
      ( ( P3 = $true )
      | ( P3 = $false ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_If_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_T) ).

thf(159,axiom,
    ! [X1: $o,X23: nat] :
      ( ( paraco1344940915le_Det @ X1 )
     != ( paraco793048302_Indet @ X23 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_199_tv_Odistinct_I1_J) ).

thf(160,axiom,
    ! [P3: paraco1605129243lle_tv > $o,Tv: paraco1605129243lle_tv] :
      ( ! [X4: $o] : ( P3 @ ( paraco1344940915le_Det @ X4 ) )
     => ( ! [X4: nat] : ( P3 @ ( paraco793048302_Indet @ X4 ) )
       => ( P3 @ Tv ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_198_tv_Oinduct) ).

thf(161,axiom,
    ! [Y: paraco1605129243lle_tv] :
      ( ! [X12: $o] :
          ( Y
         != ( paraco1344940915le_Det @ X12 ) )
     => ~ ! [X22: nat] :
            ( Y
           != ( paraco793048302_Indet @ X22 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_197_tv_Oexhaust) ).

thf(162,axiom,
    ! [X: paraco1605129243lle_tv] :
      ( ( X
       != ( paraco1344940915le_Det @ $true ) )
     => ( ( X
         != ( paraco1344940915le_Det @ $false ) )
       => ~ ! [N: nat] :
              ( X
             != ( paraco793048302_Indet @ N ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_196_string__tv_Ocases) ).

thf(163,axiom,
    ! [P3: ( nat > nat ) > paraco1605129243lle_tv > $o,A0: nat > nat,A1: paraco1605129243lle_tv] :
      ( ! [F3: nat > nat,B2: $o] : ( P3 @ F3 @ ( paraco1344940915le_Det @ B2 ) )
     => ( ! [F3: nat > nat,N: nat] : ( P3 @ F3 @ ( paraco793048302_Indet @ N ) )
       => ( P3 @ A0 @ A1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_195_change__tv_Oinduct) ).

thf(164,axiom,
    ! [P3: paraco1605129243lle_tv > $o,A0: paraco1605129243lle_tv] :
      ( ( P3 @ ( paraco1344940915le_Det @ $true ) )
     => ( ( P3 @ ( paraco1344940915le_Det @ $false ) )
       => ( ! [N: nat] : ( P3 @ ( paraco793048302_Indet @ N ) )
         => ( P3 @ A0 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_194_string__tv_Oinduct) ).

thf(252,axiom,
    ! [I2: list_char > paraco1605129243lle_tv,S3: list_char] :
      ( ( paraco1325918602e_eval @ I2 @ ( paraco1480028776le_Pro @ S3 ) )
      = ( I2 @ S3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_106_eval_Osimps_I1_J) ).

thf(324,axiom,
    ( paraco1325918602e_eval
    = ( ^ [I: list_char > paraco1605129243lle_tv,P: paraco1604210848lle_fm] : ( paraco1325918602e_eval @ I @ ( paraco445776468le_Neg @ ( paraco445776468le_Neg @ P ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_34_double__negation) ).

thf(342,axiom,
    ! [I2: list_char > paraco1605129243lle_tv,P2: paraco1604210848lle_fm] :
      ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
          = ( paraco1344940915le_Det @ $false ) )
       => ( ( paraco1325918602e_eval @ I2 @ ( paraco445776468le_Neg @ P2 ) )
          = ( paraco1344940915le_Det @ $true ) ) )
      & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
         != ( paraco1344940915le_Det @ $false ) )
       => ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
              = ( paraco1344940915le_Det @ $true ) )
           => ( ( paraco1325918602e_eval @ I2 @ ( paraco445776468le_Neg @ P2 ) )
              = ( paraco1344940915le_Det @ $false ) ) )
          & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
             != ( paraco1344940915le_Det @ $true ) )
           => ( ( paraco1325918602e_eval @ I2 @ ( paraco445776468le_Neg @ P2 ) )
              = ( paraco1325918602e_eval @ I2 @ P2 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16_eval__negation) ).

thf(343,axiom,
    ! [F1: $o > paraco1605129243lle_tv,F22: nat > paraco1605129243lle_tv,X1: $o] :
      ( ( paraco2051596139lle_tv @ F1 @ F22 @ ( paraco1344940915le_Det @ X1 ) )
      = ( F1 @ X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_tv_Osimps_I5_J) ).

thf(344,axiom,
    ! [I2: list_char > paraco1605129243lle_tv,P2: paraco1604210848lle_fm,Q: paraco1604210848lle_fm] :
      ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
          = ( paraco1325918602e_eval @ I2 @ Q ) )
       => ( ( paraco1325918602e_eval @ I2 @ ( paraco69239110le_Con @ P2 @ Q ) )
          = ( paraco1325918602e_eval @ I2 @ P2 ) ) )
      & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
         != ( paraco1325918602e_eval @ I2 @ Q ) )
       => ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
              = ( paraco1344940915le_Det @ $true ) )
           => ( ( paraco1325918602e_eval @ I2 @ ( paraco69239110le_Con @ P2 @ Q ) )
              = ( paraco1325918602e_eval @ I2 @ Q ) ) )
          & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
             != ( paraco1344940915le_Det @ $true ) )
           => ( ( ( ( paraco1325918602e_eval @ I2 @ Q )
                  = ( paraco1344940915le_Det @ $true ) )
               => ( ( paraco1325918602e_eval @ I2 @ ( paraco69239110le_Con @ P2 @ Q ) )
                  = ( paraco1325918602e_eval @ I2 @ P2 ) ) )
              & ( ( ( paraco1325918602e_eval @ I2 @ Q )
                 != ( paraco1344940915le_Det @ $true ) )
               => ( ( paraco1325918602e_eval @ I2 @ ( paraco69239110le_Con @ P2 @ Q ) )
                  = ( paraco1344940915le_Det @ $false ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_eval_Osimps_I4_J) ).

thf(345,axiom,
    ! [I2: list_char > paraco1605129243lle_tv,P2: paraco1604210848lle_fm,Q: paraco1604210848lle_fm] :
      ( ( paraco1325918602e_eval @ I2 @ ( paraco1389086619le_Eql @ P2 @ Q ) )
      = ( paraco1344940915le_Det
        @ ( ( paraco1325918602e_eval @ I2 @ P2 )
          = ( paraco1325918602e_eval @ I2 @ Q ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_eval__equality__simplify) ).

thf(346,axiom,
    ! [I2: list_char > paraco1605129243lle_tv,P2: paraco1604210848lle_fm,Q: paraco1604210848lle_fm] :
      ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
          = ( paraco1325918602e_eval @ I2 @ Q ) )
       => ( ( paraco1325918602e_eval @ I2 @ ( paraco1389086619le_Eql @ P2 @ Q ) )
          = ( paraco1344940915le_Det @ $true ) ) )
      & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
         != ( paraco1325918602e_eval @ I2 @ Q ) )
       => ( ( paraco1325918602e_eval @ I2 @ ( paraco1389086619le_Eql @ P2 @ Q ) )
          = ( paraco1344940915le_Det @ $false ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_eval_Osimps_I5_J) ).

thf(347,axiom,
    ! [I2: list_char > paraco1605129243lle_tv] :
      ( ( paraco1325918602e_eval @ I2 @ paraco367965286_Truth )
      = ( paraco1344940915le_Det @ $true ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_eval_Osimps_I2_J) ).

thf(348,axiom,
    ( paraco327635598_valid
    = ( ^ [P: paraco1604210848lle_fm] :
        ! [I: list_char > paraco1605129243lle_tv] :
          ( ( paraco1325918602e_eval @ I @ P )
          = ( paraco1344940915le_Det @ $true ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_valid__def) ).

thf(350,axiom,
    ! [F2: nat > nat,B: $o] :
      ( ( paraco1147068288nge_tv @ F2 @ ( paraco1344940915le_Det @ B ) )
      = ( paraco1344940915le_Det @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_change__tv_Osimps_I1_J) ).

thf(351,axiom,
    ( paraco761681009ge_int
    = ( ^ [F: nat > nat,I: list_char > paraco1605129243lle_tv,S: list_char] : ( paraco1147068288nge_tv @ F @ ( I @ S ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_change__int__def) ).

thf(353,axiom,
    ( ( paraco1325918602e_eval @ i @ p1 )
   != ( paraco1325918602e_eval @ i @ p2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_a_H) ).

thf(354,axiom,
    ( ( paraco1325918602e_eval @ i @ p1 )
   != ( paraco1344940915le_Det @ $true ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_a_H_H) ).

thf(355,axiom,
    ! [X1: $o,Y1: $o] :
      ( ( ( paraco1344940915le_Det @ X1 )
        = ( paraco1344940915le_Det @ Y1 ) )
      = ( X1 = Y1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_tv_Oinject_I1_J) ).

thf(356,axiom,
    ( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
    = ( paraco1147068288nge_tv @ f @ ( paraco1325918602e_eval @ i @ p2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_ih2) ).

thf(357,axiom,
    ( ( paraco1147068288nge_tv @ f @ ( paraco1325918602e_eval @ i @ p2 ) )
    = ( paraco1344940915le_Det @ $true ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__092_060open_062change__tv_Af_A_Ieval_Ai_Ap2_J_A_061_ADet_ATrue_092_060close_062) ).

thf(358,axiom,
    ( ( paraco1325918602e_eval @ i @ p2 )
    = ( paraco1344940915le_Det @ $true ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_a) ).

thf(359,conjecture,
    ( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
    = ( paraco1344940915le_Det @ $true ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

thf(360,negated_conjecture,
    ( ( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
      = ( paraco1344940915le_Det @ $true ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[359]) ).

thf(361,plain,
    ( ( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
      = ( paraco1344940915le_Det @ $true ) )
    = $false ),
    inference(unfold_def,[status(thm)],[360]) ).

thf(362,plain,
    ( ( ! [P3: $o] :
          ( ( P3 = $true )
          | ( P3 = $false ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(363,plain,
    ( ( ! [X1: $o,X23: nat] :
          ( ( paraco1344940915le_Det @ X1 )
         != ( paraco793048302_Indet @ X23 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[159]) ).

thf(364,plain,
    ( ( ! [P3: paraco1605129243lle_tv > $o,Tv: paraco1605129243lle_tv] :
          ( ! [X4: $o] : ( P3 @ ( paraco1344940915le_Det @ X4 ) )
         => ( ! [X4: nat] : ( P3 @ ( paraco793048302_Indet @ X4 ) )
           => ( P3 @ Tv ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[160]) ).

thf(365,plain,
    ( ( ! [Y: paraco1605129243lle_tv] :
          ( ! [X12: $o] :
              ( Y
             != ( paraco1344940915le_Det @ X12 ) )
         => ~ ! [X22: nat] :
                ( Y
               != ( paraco793048302_Indet @ X22 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[161]) ).

thf(366,plain,
    ( ( ! [X: paraco1605129243lle_tv] :
          ( ( X
           != ( paraco1344940915le_Det @ $true ) )
         => ( ( X
             != ( paraco1344940915le_Det @ $false ) )
           => ~ ! [N: nat] :
                  ( X
                 != ( paraco793048302_Indet @ N ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[162]) ).

thf(367,plain,
    ( ( ! [P3: ( nat > nat ) > paraco1605129243lle_tv > $o,A0: nat > nat,A1: paraco1605129243lle_tv] :
          ( ! [F3: nat > nat,B2: $o] : ( P3 @ F3 @ ( paraco1344940915le_Det @ B2 ) )
         => ( ! [F3: nat > nat,N: nat] : ( P3 @ F3 @ ( paraco793048302_Indet @ N ) )
           => ( P3 @ A0 @ A1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[163]) ).

thf(368,plain,
    ( ( ! [P3: paraco1605129243lle_tv > $o,A0: paraco1605129243lle_tv] :
          ( ( P3 @ ( paraco1344940915le_Det @ $true ) )
         => ( ( P3 @ ( paraco1344940915le_Det @ $false ) )
           => ( ! [N: nat] : ( P3 @ ( paraco793048302_Indet @ N ) )
             => ( P3 @ A0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[164]) ).

thf(369,plain,
    ( ( ! [I2: list_char > paraco1605129243lle_tv,S3: list_char] :
          ( ( paraco1325918602e_eval @ I2 @ ( paraco1480028776le_Pro @ S3 ) )
          = ( I2 @ S3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[252]) ).

thf(370,plain,
    ( ( paraco1325918602e_eval
      = ( ^ [I: list_char > paraco1605129243lle_tv,P: paraco1604210848lle_fm] : ( paraco1325918602e_eval @ I @ ( paraco445776468le_Neg @ ( paraco445776468le_Neg @ P ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[324]) ).

thf(371,plain,
    ( ( ! [I2: list_char > paraco1605129243lle_tv,P2: paraco1604210848lle_fm] :
          ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
              = ( paraco1344940915le_Det @ $false ) )
           => ( ( paraco1325918602e_eval @ I2 @ ( paraco445776468le_Neg @ P2 ) )
              = ( paraco1344940915le_Det @ $true ) ) )
          & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
             != ( paraco1344940915le_Det @ $false ) )
           => ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
                  = ( paraco1344940915le_Det @ $true ) )
               => ( ( paraco1325918602e_eval @ I2 @ ( paraco445776468le_Neg @ P2 ) )
                  = ( paraco1344940915le_Det @ $false ) ) )
              & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
                 != ( paraco1344940915le_Det @ $true ) )
               => ( ( paraco1325918602e_eval @ I2 @ ( paraco445776468le_Neg @ P2 ) )
                  = ( paraco1325918602e_eval @ I2 @ P2 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[342]) ).

thf(372,plain,
    ( ( ! [F1: $o > paraco1605129243lle_tv,F22: nat > paraco1605129243lle_tv,X1: $o] :
          ( ( paraco2051596139lle_tv @ F1 @ F22 @ ( paraco1344940915le_Det @ X1 ) )
          = ( F1 @ X1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[343]) ).

thf(373,plain,
    ( ( ! [I2: list_char > paraco1605129243lle_tv,P2: paraco1604210848lle_fm,Q: paraco1604210848lle_fm] :
          ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
              = ( paraco1325918602e_eval @ I2 @ Q ) )
           => ( ( paraco1325918602e_eval @ I2 @ ( paraco69239110le_Con @ P2 @ Q ) )
              = ( paraco1325918602e_eval @ I2 @ P2 ) ) )
          & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
             != ( paraco1325918602e_eval @ I2 @ Q ) )
           => ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
                  = ( paraco1344940915le_Det @ $true ) )
               => ( ( paraco1325918602e_eval @ I2 @ ( paraco69239110le_Con @ P2 @ Q ) )
                  = ( paraco1325918602e_eval @ I2 @ Q ) ) )
              & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
                 != ( paraco1344940915le_Det @ $true ) )
               => ( ( ( ( paraco1325918602e_eval @ I2 @ Q )
                      = ( paraco1344940915le_Det @ $true ) )
                   => ( ( paraco1325918602e_eval @ I2 @ ( paraco69239110le_Con @ P2 @ Q ) )
                      = ( paraco1325918602e_eval @ I2 @ P2 ) ) )
                  & ( ( ( paraco1325918602e_eval @ I2 @ Q )
                     != ( paraco1344940915le_Det @ $true ) )
                   => ( ( paraco1325918602e_eval @ I2 @ ( paraco69239110le_Con @ P2 @ Q ) )
                      = ( paraco1344940915le_Det @ $false ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[344]) ).

thf(374,plain,
    ( ( ! [I2: list_char > paraco1605129243lle_tv,P2: paraco1604210848lle_fm,Q: paraco1604210848lle_fm] :
          ( ( paraco1325918602e_eval @ I2 @ ( paraco1389086619le_Eql @ P2 @ Q ) )
          = ( paraco1344940915le_Det
            @ ( ( paraco1325918602e_eval @ I2 @ P2 )
              = ( paraco1325918602e_eval @ I2 @ Q ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[345]) ).

thf(375,plain,
    ( ( ! [I2: list_char > paraco1605129243lle_tv,P2: paraco1604210848lle_fm,Q: paraco1604210848lle_fm] :
          ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
              = ( paraco1325918602e_eval @ I2 @ Q ) )
           => ( ( paraco1325918602e_eval @ I2 @ ( paraco1389086619le_Eql @ P2 @ Q ) )
              = ( paraco1344940915le_Det @ $true ) ) )
          & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
             != ( paraco1325918602e_eval @ I2 @ Q ) )
           => ( ( paraco1325918602e_eval @ I2 @ ( paraco1389086619le_Eql @ P2 @ Q ) )
              = ( paraco1344940915le_Det @ $false ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[346]) ).

thf(376,plain,
    ( ( ! [I2: list_char > paraco1605129243lle_tv] :
          ( ( paraco1325918602e_eval @ I2 @ paraco367965286_Truth )
          = ( paraco1344940915le_Det @ $true ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[347]) ).

thf(377,plain,
    ( ( paraco327635598_valid
      = ( ^ [P: paraco1604210848lle_fm] :
          ! [I: list_char > paraco1605129243lle_tv] :
            ( ( paraco1325918602e_eval @ I @ P )
            = ( paraco1344940915le_Det @ $true ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[348]) ).

thf(378,plain,
    ( ( ! [F2: nat > nat,B: $o] :
          ( ( paraco1147068288nge_tv @ F2 @ ( paraco1344940915le_Det @ B ) )
          = ( paraco1344940915le_Det @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[350]) ).

thf(379,plain,
    ( ( paraco761681009ge_int
      = ( ^ [F: nat > nat,I: list_char > paraco1605129243lle_tv,S: list_char] : ( paraco1147068288nge_tv @ F @ ( I @ S ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[351]) ).

thf(380,plain,
    ( ( ( paraco1325918602e_eval @ i @ p1 )
     != ( paraco1325918602e_eval @ i @ p2 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[353]) ).

thf(381,plain,
    ( ( ( paraco1325918602e_eval @ i @ p1 )
     != ( paraco1344940915le_Det @ $true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[354]) ).

thf(382,plain,
    ( ( ! [X1: $o,Y1: $o] :
          ( ( ( paraco1344940915le_Det @ X1 )
            = ( paraco1344940915le_Det @ Y1 ) )
          = ( X1 = Y1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[355]) ).

thf(383,plain,
    ( ( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
      = ( paraco1147068288nge_tv @ f @ ( paraco1325918602e_eval @ i @ p2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[356]) ).

thf(384,plain,
    ( ( ( paraco1147068288nge_tv @ f @ ( paraco1325918602e_eval @ i @ p2 ) )
      = ( paraco1344940915le_Det @ $true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[357]) ).

thf(385,plain,
    ( ( ( paraco1325918602e_eval @ i @ p2 )
      = ( paraco1344940915le_Det @ $true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[358]) ).

thf(386,plain,
    ( ( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
     != ( paraco1344940915le_Det @ $true ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[361]) ).

thf(387,plain,
    ( ( ( paraco1325918602e_eval @ i @ p2 )
      = ( paraco1344940915le_Det @ $true ) )
    = $true ),
    inference(copy,[status(thm)],[385]) ).

thf(388,plain,
    ( ( ( paraco1147068288nge_tv @ f @ ( paraco1325918602e_eval @ i @ p2 ) )
      = ( paraco1344940915le_Det @ $true ) )
    = $true ),
    inference(copy,[status(thm)],[384]) ).

thf(389,plain,
    ( ( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
      = ( paraco1147068288nge_tv @ f @ ( paraco1325918602e_eval @ i @ p2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[383]) ).

thf(390,plain,
    ( ( ! [X1: $o,Y1: $o] :
          ( ( ( paraco1344940915le_Det @ X1 )
            = ( paraco1344940915le_Det @ Y1 ) )
          = ( X1 = Y1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[382]) ).

thf(391,plain,
    ( ( ( paraco1325918602e_eval @ i @ p1 )
     != ( paraco1344940915le_Det @ $true ) )
    = $true ),
    inference(copy,[status(thm)],[381]) ).

thf(392,plain,
    ( ( ( paraco1325918602e_eval @ i @ p1 )
     != ( paraco1325918602e_eval @ i @ p2 ) )
    = $true ),
    inference(copy,[status(thm)],[380]) ).

thf(393,plain,
    ( ( paraco761681009ge_int
      = ( ^ [F: nat > nat,I: list_char > paraco1605129243lle_tv,S: list_char] : ( paraco1147068288nge_tv @ F @ ( I @ S ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[379]) ).

thf(394,plain,
    ( ( ! [F2: nat > nat,B: $o] :
          ( ( paraco1147068288nge_tv @ F2 @ ( paraco1344940915le_Det @ B ) )
          = ( paraco1344940915le_Det @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[378]) ).

thf(395,plain,
    ( ( paraco327635598_valid
      = ( ^ [P: paraco1604210848lle_fm] :
          ! [I: list_char > paraco1605129243lle_tv] :
            ( ( paraco1325918602e_eval @ I @ P )
            = ( paraco1344940915le_Det @ $true ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[377]) ).

thf(396,plain,
    ( ( ! [I2: list_char > paraco1605129243lle_tv] :
          ( ( paraco1325918602e_eval @ I2 @ paraco367965286_Truth )
          = ( paraco1344940915le_Det @ $true ) ) )
    = $true ),
    inference(copy,[status(thm)],[376]) ).

thf(397,plain,
    ( ( ! [I2: list_char > paraco1605129243lle_tv,P2: paraco1604210848lle_fm,Q: paraco1604210848lle_fm] :
          ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
              = ( paraco1325918602e_eval @ I2 @ Q ) )
           => ( ( paraco1325918602e_eval @ I2 @ ( paraco1389086619le_Eql @ P2 @ Q ) )
              = ( paraco1344940915le_Det @ $true ) ) )
          & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
             != ( paraco1325918602e_eval @ I2 @ Q ) )
           => ( ( paraco1325918602e_eval @ I2 @ ( paraco1389086619le_Eql @ P2 @ Q ) )
              = ( paraco1344940915le_Det @ $false ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[375]) ).

thf(398,plain,
    ( ( ! [I2: list_char > paraco1605129243lle_tv,P2: paraco1604210848lle_fm,Q: paraco1604210848lle_fm] :
          ( ( paraco1325918602e_eval @ I2 @ ( paraco1389086619le_Eql @ P2 @ Q ) )
          = ( paraco1344940915le_Det
            @ ( ( paraco1325918602e_eval @ I2 @ P2 )
              = ( paraco1325918602e_eval @ I2 @ Q ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[374]) ).

thf(399,plain,
    ( ( ! [I2: list_char > paraco1605129243lle_tv,P2: paraco1604210848lle_fm,Q: paraco1604210848lle_fm] :
          ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
              = ( paraco1325918602e_eval @ I2 @ Q ) )
           => ( ( paraco1325918602e_eval @ I2 @ ( paraco69239110le_Con @ P2 @ Q ) )
              = ( paraco1325918602e_eval @ I2 @ P2 ) ) )
          & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
             != ( paraco1325918602e_eval @ I2 @ Q ) )
           => ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
                  = ( paraco1344940915le_Det @ $true ) )
               => ( ( paraco1325918602e_eval @ I2 @ ( paraco69239110le_Con @ P2 @ Q ) )
                  = ( paraco1325918602e_eval @ I2 @ Q ) ) )
              & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
                 != ( paraco1344940915le_Det @ $true ) )
               => ( ( ( ( paraco1325918602e_eval @ I2 @ Q )
                      = ( paraco1344940915le_Det @ $true ) )
                   => ( ( paraco1325918602e_eval @ I2 @ ( paraco69239110le_Con @ P2 @ Q ) )
                      = ( paraco1325918602e_eval @ I2 @ P2 ) ) )
                  & ( ( ( paraco1325918602e_eval @ I2 @ Q )
                     != ( paraco1344940915le_Det @ $true ) )
                   => ( ( paraco1325918602e_eval @ I2 @ ( paraco69239110le_Con @ P2 @ Q ) )
                      = ( paraco1344940915le_Det @ $false ) ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[373]) ).

thf(400,plain,
    ( ( ! [F1: $o > paraco1605129243lle_tv,F22: nat > paraco1605129243lle_tv,X1: $o] :
          ( ( paraco2051596139lle_tv @ F1 @ F22 @ ( paraco1344940915le_Det @ X1 ) )
          = ( F1 @ X1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[372]) ).

thf(401,plain,
    ( ( ! [I2: list_char > paraco1605129243lle_tv,P2: paraco1604210848lle_fm] :
          ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
              = ( paraco1344940915le_Det @ $false ) )
           => ( ( paraco1325918602e_eval @ I2 @ ( paraco445776468le_Neg @ P2 ) )
              = ( paraco1344940915le_Det @ $true ) ) )
          & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
             != ( paraco1344940915le_Det @ $false ) )
           => ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
                  = ( paraco1344940915le_Det @ $true ) )
               => ( ( paraco1325918602e_eval @ I2 @ ( paraco445776468le_Neg @ P2 ) )
                  = ( paraco1344940915le_Det @ $false ) ) )
              & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
                 != ( paraco1344940915le_Det @ $true ) )
               => ( ( paraco1325918602e_eval @ I2 @ ( paraco445776468le_Neg @ P2 ) )
                  = ( paraco1325918602e_eval @ I2 @ P2 ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[371]) ).

thf(402,plain,
    ( ( paraco1325918602e_eval
      = ( ^ [I: list_char > paraco1605129243lle_tv,P: paraco1604210848lle_fm] : ( paraco1325918602e_eval @ I @ ( paraco445776468le_Neg @ ( paraco445776468le_Neg @ P ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[370]) ).

thf(403,plain,
    ( ( ! [I2: list_char > paraco1605129243lle_tv,S3: list_char] :
          ( ( paraco1325918602e_eval @ I2 @ ( paraco1480028776le_Pro @ S3 ) )
          = ( I2 @ S3 ) ) )
    = $true ),
    inference(copy,[status(thm)],[369]) ).

thf(404,plain,
    ( ( ! [P3: paraco1605129243lle_tv > $o,A0: paraco1605129243lle_tv] :
          ( ( P3 @ ( paraco1344940915le_Det @ $true ) )
         => ( ( P3 @ ( paraco1344940915le_Det @ $false ) )
           => ( ! [N: nat] : ( P3 @ ( paraco793048302_Indet @ N ) )
             => ( P3 @ A0 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[368]) ).

thf(405,plain,
    ( ( ! [P3: ( nat > nat ) > paraco1605129243lle_tv > $o,A0: nat > nat,A1: paraco1605129243lle_tv] :
          ( ! [F3: nat > nat,B2: $o] : ( P3 @ F3 @ ( paraco1344940915le_Det @ B2 ) )
         => ( ! [F3: nat > nat,N: nat] : ( P3 @ F3 @ ( paraco793048302_Indet @ N ) )
           => ( P3 @ A0 @ A1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[367]) ).

thf(406,plain,
    ( ( ! [X: paraco1605129243lle_tv] :
          ( ( X
           != ( paraco1344940915le_Det @ $true ) )
         => ( ( X
             != ( paraco1344940915le_Det @ $false ) )
           => ~ ! [N: nat] :
                  ( X
                 != ( paraco793048302_Indet @ N ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[366]) ).

thf(407,plain,
    ( ( ! [Y: paraco1605129243lle_tv] :
          ( ! [X12: $o] :
              ( Y
             != ( paraco1344940915le_Det @ X12 ) )
         => ~ ! [X22: nat] :
                ( Y
               != ( paraco793048302_Indet @ X22 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[365]) ).

thf(408,plain,
    ( ( ! [P3: paraco1605129243lle_tv > $o,Tv: paraco1605129243lle_tv] :
          ( ! [X4: $o] : ( P3 @ ( paraco1344940915le_Det @ X4 ) )
         => ( ! [X4: nat] : ( P3 @ ( paraco793048302_Indet @ X4 ) )
           => ( P3 @ Tv ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[364]) ).

thf(409,plain,
    ( ( ! [X1: $o,X23: nat] :
          ( ( paraco1344940915le_Det @ X1 )
         != ( paraco793048302_Indet @ X23 ) ) )
    = $true ),
    inference(copy,[status(thm)],[363]) ).

thf(410,plain,
    ( ( ! [P3: $o] :
          ( ( P3 = $true )
          | ( P3 = $false ) ) )
    = $true ),
    inference(copy,[status(thm)],[362]) ).

thf(411,plain,
    ( ( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
     != ( paraco1344940915le_Det @ $true ) )
    = $true ),
    inference(copy,[status(thm)],[386]) ).

thf(412,plain,
    ( ( ! [SX0: paraco1605129243lle_tv > $o,SX1: paraco1605129243lle_tv] :
          ( ~ ! [SX2: $o] : ( SX0 @ ( paraco1344940915le_Det @ SX2 ) )
          | ~ ! [SX2: nat] : ( SX0 @ ( paraco793048302_Indet @ SX2 ) )
          | ( SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[408]) ).

thf(413,plain,
    ( ( ! [SX0: paraco1605129243lle_tv] :
          ( ~ ( ( SX0
               != ( paraco1344940915le_Det @ $true ) ) )
          | ~ ( ( SX0
               != ( paraco1344940915le_Det @ $false ) ) )
          | ~ ! [SX1: nat] :
                ( SX0
               != ( paraco793048302_Indet @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[406]) ).

thf(414,plain,
    ( ( ! [SX0: list_char > paraco1605129243lle_tv,SX1: paraco1604210848lle_fm] :
          ~ ( ~ ( ( ( paraco1325918602e_eval @ SX0 @ SX1 )
                 != ( paraco1344940915le_Det @ $false ) )
                | ( ( paraco1325918602e_eval @ SX0 @ ( paraco445776468le_Neg @ SX1 ) )
                  = ( paraco1344940915le_Det @ $true ) ) )
            | ~ ( ~ ( ( ( paraco1325918602e_eval @ SX0 @ SX1 )
                     != ( paraco1344940915le_Det @ $false ) ) )
                | ~ ( ~ ( ( ( paraco1325918602e_eval @ SX0 @ SX1 )
                         != ( paraco1344940915le_Det @ $true ) )
                        | ( ( paraco1325918602e_eval @ SX0 @ ( paraco445776468le_Neg @ SX1 ) )
                          = ( paraco1344940915le_Det @ $false ) ) )
                    | ~ ( ~ ( ( ( paraco1325918602e_eval @ SX0 @ SX1 )
                             != ( paraco1344940915le_Det @ $true ) ) )
                        | ( ( paraco1325918602e_eval @ SX0 @ ( paraco445776468le_Neg @ SX1 ) )
                          = ( paraco1325918602e_eval @ SX0 @ SX1 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[401]) ).

thf(415,plain,
    ( ( ! [SX0: list_char > paraco1605129243lle_tv,SX1: paraco1604210848lle_fm,SX2: paraco1604210848lle_fm] :
          ~ ( ~ ( ( ( paraco1325918602e_eval @ SX0 @ SX1 )
                 != ( paraco1325918602e_eval @ SX0 @ SX2 ) )
                | ( ( paraco1325918602e_eval @ SX0 @ ( paraco1389086619le_Eql @ SX1 @ SX2 ) )
                  = ( paraco1344940915le_Det @ $true ) ) )
            | ~ ( ~ ( ( ( paraco1325918602e_eval @ SX0 @ SX1 )
                     != ( paraco1325918602e_eval @ SX0 @ SX2 ) ) )
                | ( ( paraco1325918602e_eval @ SX0 @ ( paraco1389086619le_Eql @ SX1 @ SX2 ) )
                  = ( paraco1344940915le_Det @ $false ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[397]) ).

thf(416,plain,
    ( ( ! [SX0: $o,SX1: nat] :
          ( ( paraco1344940915le_Det @ SX0 )
         != ( paraco793048302_Indet @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[409]) ).

thf(417,plain,
    ( ( ! [SX0: ( nat > nat ) > paraco1605129243lle_tv > $o,SX1: nat > nat,SX2: paraco1605129243lle_tv] :
          ( ~ ! [SX3: nat > nat,SX4: $o] : ( SX0 @ SX3 @ ( paraco1344940915le_Det @ SX4 ) )
          | ~ ! [SX3: nat > nat,SX4: nat] : ( SX0 @ SX3 @ ( paraco793048302_Indet @ SX4 ) )
          | ( SX0 @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[405]) ).

thf(418,plain,
    ( ( ! [SX0: paraco1605129243lle_tv] :
          ( ~ ! [SX1: $o] :
                ( SX0
               != ( paraco1344940915le_Det @ SX1 ) )
          | ~ ! [SX1: nat] :
                ( SX0
               != ( paraco793048302_Indet @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[407]) ).

thf(419,plain,
    ( ( ! [SX0: list_char > paraco1605129243lle_tv,SX1: paraco1604210848lle_fm,SX2: paraco1604210848lle_fm] :
          ~ ( ~ ( ( ( paraco1325918602e_eval @ SX0 @ SX1 )
                 != ( paraco1325918602e_eval @ SX0 @ SX2 ) )
                | ( ( paraco1325918602e_eval @ SX0 @ ( paraco69239110le_Con @ SX1 @ SX2 ) )
                  = ( paraco1325918602e_eval @ SX0 @ SX1 ) ) )
            | ~ ( ~ ( ( ( paraco1325918602e_eval @ SX0 @ SX1 )
                     != ( paraco1325918602e_eval @ SX0 @ SX2 ) ) )
                | ~ ( ~ ( ( ( paraco1325918602e_eval @ SX0 @ SX1 )
                         != ( paraco1344940915le_Det @ $true ) )
                        | ( ( paraco1325918602e_eval @ SX0 @ ( paraco69239110le_Con @ SX1 @ SX2 ) )
                          = ( paraco1325918602e_eval @ SX0 @ SX2 ) ) )
                    | ~ ( ~ ( ( ( paraco1325918602e_eval @ SX0 @ SX1 )
                             != ( paraco1344940915le_Det @ $true ) ) )
                        | ~ ( ~ ( ( ( paraco1325918602e_eval @ SX0 @ SX2 )
                                 != ( paraco1344940915le_Det @ $true ) )
                                | ( ( paraco1325918602e_eval @ SX0 @ ( paraco69239110le_Con @ SX1 @ SX2 ) )
                                  = ( paraco1325918602e_eval @ SX0 @ SX1 ) ) )
                            | ~ ( ~ ( ( ( paraco1325918602e_eval @ SX0 @ SX2 )
                                     != ( paraco1344940915le_Det @ $true ) ) )
                                | ( ( paraco1325918602e_eval @ SX0 @ ( paraco69239110le_Con @ SX1 @ SX2 ) )
                                  = ( paraco1344940915le_Det @ $false ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[399]) ).

thf(420,plain,
    ( ( ! [SX0: paraco1605129243lle_tv > $o,SX1: paraco1605129243lle_tv] :
          ( ~ ( SX0 @ ( paraco1344940915le_Det @ $true ) )
          | ~ ( SX0 @ ( paraco1344940915le_Det @ $false ) )
          | ~ ! [SX2: nat] : ( SX0 @ ( paraco793048302_Indet @ SX2 ) )
          | ( SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[404]) ).

thf(421,plain,
    ( ( ( paraco1325918602e_eval @ i @ p1 )
     != ( paraco1344940915le_Det @ $true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[391]) ).

thf(422,plain,
    ( ( ( paraco1325918602e_eval @ i @ p1 )
     != ( paraco1325918602e_eval @ i @ p2 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[392]) ).

thf(423,plain,
    ! [SV1: $o] :
      ( ( ! [SY50: $o] :
            ( ( ( paraco1344940915le_Det @ SV1 )
              = ( paraco1344940915le_Det @ SY50 ) )
            = ( SV1 = SY50 ) ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[390]) ).

thf(424,plain,
    ( ( ! [SX0: $o] :
          ( ( ( paraco1344940915le_Det @ $true )
            = ( paraco1344940915le_Det @ SX0 ) )
          = ( $true = SX0 ) ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[390]) ).

thf(425,plain,
    ( ( ! [SX0: $o] :
          ( ( ( paraco1344940915le_Det @ $false )
            = ( paraco1344940915le_Det @ SX0 ) )
          = ( $false = SX0 ) ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[390]) ).

thf(426,plain,
    ( ( ! [SV2: nat > nat] :
          ( ( paraco761681009ge_int @ SV2 )
          = ( ^ [SY51: list_char > paraco1605129243lle_tv,SY52: list_char] : ( paraco1147068288nge_tv @ SV2 @ ( SY51 @ SY52 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[393]) ).

thf(427,plain,
    ( ( paraco761681009ge_int
      = ( ^ [F: nat > nat,I: list_char > paraco1605129243lle_tv,S: list_char] : ( paraco1147068288nge_tv @ F @ ( I @ S ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[393]) ).

thf(428,plain,
    ! [SV3: nat > nat] :
      ( ( ! [SY53: $o] :
            ( ( paraco1147068288nge_tv @ SV3 @ ( paraco1344940915le_Det @ SY53 ) )
            = ( paraco1344940915le_Det @ SY53 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[394]) ).

thf(429,plain,
    ( ( ! [SV4: paraco1604210848lle_fm] :
          ( ( paraco327635598_valid @ SV4 )
          = ( ! [SY54: list_char > paraco1605129243lle_tv] :
                ( ( paraco1325918602e_eval @ SY54 @ SV4 )
                = ( paraco1344940915le_Det @ $true ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[395]) ).

thf(430,plain,
    ( ( paraco327635598_valid
      = ( ^ [P: paraco1604210848lle_fm] :
          ! [I: list_char > paraco1605129243lle_tv] :
            ( ( paraco1325918602e_eval @ I @ P )
            = ( paraco1344940915le_Det @ $true ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[395]) ).

thf(431,plain,
    ! [SV5: list_char > paraco1605129243lle_tv] :
      ( ( ( paraco1325918602e_eval @ SV5 @ paraco367965286_Truth )
        = ( paraco1344940915le_Det @ $true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[396]) ).

thf(432,plain,
    ! [SV6: list_char > paraco1605129243lle_tv] :
      ( ( ! [SY55: paraco1604210848lle_fm,SY56: paraco1604210848lle_fm] :
            ( ( paraco1325918602e_eval @ SV6 @ ( paraco1389086619le_Eql @ SY55 @ SY56 ) )
            = ( paraco1344940915le_Det
              @ ( ( paraco1325918602e_eval @ SV6 @ SY55 )
                = ( paraco1325918602e_eval @ SV6 @ SY56 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[398]) ).

thf(433,plain,
    ! [SV7: $o > paraco1605129243lle_tv] :
      ( ( ! [SY57: nat > paraco1605129243lle_tv,SY58: $o] :
            ( ( paraco2051596139lle_tv @ SV7 @ SY57 @ ( paraco1344940915le_Det @ SY58 ) )
            = ( SV7 @ SY58 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[400]) ).

thf(434,plain,
    ( ( ! [SV8: list_char > paraco1605129243lle_tv] :
          ( ( paraco1325918602e_eval @ SV8 )
          = ( ^ [SY59: paraco1604210848lle_fm] : ( paraco1325918602e_eval @ SV8 @ ( paraco445776468le_Neg @ ( paraco445776468le_Neg @ SY59 ) ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[402]) ).

thf(435,plain,
    ( ( paraco1325918602e_eval
      = ( ^ [I: list_char > paraco1605129243lle_tv,P: paraco1604210848lle_fm] : ( paraco1325918602e_eval @ I @ ( paraco445776468le_Neg @ ( paraco445776468le_Neg @ P ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[402]) ).

thf(436,plain,
    ! [SV9: list_char > paraco1605129243lle_tv] :
      ( ( ! [SY60: list_char] :
            ( ( paraco1325918602e_eval @ SV9 @ ( paraco1480028776le_Pro @ SY60 ) )
            = ( SV9 @ SY60 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[403]) ).

thf(437,plain,
    ! [SV10: $o] :
      ( ( ( SV10 = $true )
        | ( SV10 = $false ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[410]) ).

thf(438,plain,
    ( ( ( $true = $true )
      | ( $true = $false ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[410]) ).

thf(439,plain,
    ( ( ( $false = $true )
      | ( $false = $false ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[410]) ).

thf(440,plain,
    ( ( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
      = ( paraco1344940915le_Det @ $true ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[411]) ).

thf(441,plain,
    ! [SV11: paraco1605129243lle_tv > $o] :
      ( ( ! [SY61: paraco1605129243lle_tv] :
            ( ~ ! [SY62: $o] : ( SV11 @ ( paraco1344940915le_Det @ SY62 ) )
            | ~ ! [SY63: nat] : ( SV11 @ ( paraco793048302_Indet @ SY63 ) )
            | ( SV11 @ SY61 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[412]) ).

thf(442,plain,
    ! [SV12: paraco1605129243lle_tv] :
      ( ( ~ ( ( SV12
             != ( paraco1344940915le_Det @ $true ) ) )
        | ~ ( ( SV12
             != ( paraco1344940915le_Det @ $false ) ) )
        | ~ ! [SY64: nat] :
              ( SV12
             != ( paraco793048302_Indet @ SY64 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[413]) ).

thf(443,plain,
    ! [SV13: list_char > paraco1605129243lle_tv] :
      ( ( ! [SY65: paraco1604210848lle_fm] :
            ~ ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SY65 )
                   != ( paraco1344940915le_Det @ $false ) )
                  | ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SY65 ) )
                    = ( paraco1344940915le_Det @ $true ) ) )
              | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SY65 )
                       != ( paraco1344940915le_Det @ $false ) ) )
                  | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SY65 )
                           != ( paraco1344940915le_Det @ $true ) )
                          | ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SY65 ) )
                            = ( paraco1344940915le_Det @ $false ) ) )
                      | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SY65 )
                               != ( paraco1344940915le_Det @ $true ) ) )
                          | ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SY65 ) )
                            = ( paraco1325918602e_eval @ SV13 @ SY65 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[414]) ).

thf(444,plain,
    ! [SV14: list_char > paraco1605129243lle_tv] :
      ( ( ! [SY66: paraco1604210848lle_fm,SY67: paraco1604210848lle_fm] :
            ~ ( ~ ( ( ( paraco1325918602e_eval @ SV14 @ SY66 )
                   != ( paraco1325918602e_eval @ SV14 @ SY67 ) )
                  | ( ( paraco1325918602e_eval @ SV14 @ ( paraco1389086619le_Eql @ SY66 @ SY67 ) )
                    = ( paraco1344940915le_Det @ $true ) ) )
              | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV14 @ SY66 )
                       != ( paraco1325918602e_eval @ SV14 @ SY67 ) ) )
                  | ( ( paraco1325918602e_eval @ SV14 @ ( paraco1389086619le_Eql @ SY66 @ SY67 ) )
                    = ( paraco1344940915le_Det @ $false ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[415]) ).

thf(445,plain,
    ! [SV15: $o] :
      ( ( ! [SY68: nat] :
            ( ( paraco1344940915le_Det @ SV15 )
           != ( paraco793048302_Indet @ SY68 ) ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[416]) ).

thf(446,plain,
    ( ( ! [SX0: nat] :
          ( ( paraco1344940915le_Det @ $true )
         != ( paraco793048302_Indet @ SX0 ) ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[416]) ).

thf(447,plain,
    ( ( ! [SX0: nat] :
          ( ( paraco1344940915le_Det @ $false )
         != ( paraco793048302_Indet @ SX0 ) ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[416]) ).

thf(448,plain,
    ! [SV16: ( nat > nat ) > paraco1605129243lle_tv > $o] :
      ( ( ! [SY69: nat > nat,SY70: paraco1605129243lle_tv] :
            ( ~ ! [SY71: nat > nat,SY72: $o] : ( SV16 @ SY71 @ ( paraco1344940915le_Det @ SY72 ) )
            | ~ ! [SY73: nat > nat,SY74: nat] : ( SV16 @ SY73 @ ( paraco793048302_Indet @ SY74 ) )
            | ( SV16 @ SY69 @ SY70 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[417]) ).

thf(449,plain,
    ! [SV17: paraco1605129243lle_tv] :
      ( ( ~ ! [SY75: $o] :
              ( SV17
             != ( paraco1344940915le_Det @ SY75 ) )
        | ~ ! [SY76: nat] :
              ( SV17
             != ( paraco793048302_Indet @ SY76 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[418]) ).

thf(450,plain,
    ! [SV18: list_char > paraco1605129243lle_tv] :
      ( ( ! [SY77: paraco1604210848lle_fm,SY78: paraco1604210848lle_fm] :
            ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SY77 )
                   != ( paraco1325918602e_eval @ SV18 @ SY78 ) )
                  | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SY77 @ SY78 ) )
                    = ( paraco1325918602e_eval @ SV18 @ SY77 ) ) )
              | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SY77 )
                       != ( paraco1325918602e_eval @ SV18 @ SY78 ) ) )
                  | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SY77 )
                           != ( paraco1344940915le_Det @ $true ) )
                          | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SY77 @ SY78 ) )
                            = ( paraco1325918602e_eval @ SV18 @ SY78 ) ) )
                      | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SY77 )
                               != ( paraco1344940915le_Det @ $true ) ) )
                          | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SY78 )
                                   != ( paraco1344940915le_Det @ $true ) )
                                  | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SY77 @ SY78 ) )
                                    = ( paraco1325918602e_eval @ SV18 @ SY77 ) ) )
                              | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SY78 )
                                       != ( paraco1344940915le_Det @ $true ) ) )
                                  | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SY77 @ SY78 ) )
                                    = ( paraco1344940915le_Det @ $false ) ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[419]) ).

thf(451,plain,
    ! [SV19: paraco1605129243lle_tv > $o] :
      ( ( ! [SY79: paraco1605129243lle_tv] :
            ( ~ ( SV19 @ ( paraco1344940915le_Det @ $true ) )
            | ~ ( SV19 @ ( paraco1344940915le_Det @ $false ) )
            | ~ ! [SY80: nat] : ( SV19 @ ( paraco793048302_Indet @ SY80 ) )
            | ( SV19 @ SY79 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[420]) ).

thf(452,plain,
    ( ( ( paraco1325918602e_eval @ i @ p1 )
      = ( paraco1344940915le_Det @ $true ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[421]) ).

thf(453,plain,
    ( ( ( paraco1325918602e_eval @ i @ p1 )
      = ( paraco1325918602e_eval @ i @ p2 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[422]) ).

thf(454,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ SV20 ) )
        = ( SV1 = SV20 ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[423]) ).

thf(455,plain,
    ! [SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $true ) )
        = ( SV1 = $true ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[423]) ).

thf(456,plain,
    ! [SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $false ) )
        = ( SV1 = $false ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[423]) ).

thf(457,plain,
    ! [SV21: $o] :
      ( ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1344940915le_Det @ SV21 ) )
        = ( $true = SV21 ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[424]) ).

thf(458,plain,
    ( ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $true ) )
      = ( $true = $true ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[424]) ).

thf(459,plain,
    ( ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $false ) )
      = ( $true = $false ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[424]) ).

thf(460,plain,
    ! [SV22: $o] :
      ( ( ( ( paraco1344940915le_Det @ $false )
          = ( paraco1344940915le_Det @ SV22 ) )
        = ( $false = SV22 ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[425]) ).

thf(461,plain,
    ( ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $true ) )
      = ( $false = $true ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[425]) ).

thf(462,plain,
    ( ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $false ) )
      = ( $false = $false ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[425]) ).

thf(463,plain,
    ! [SV23: nat > nat] :
      ( ( ( paraco761681009ge_int @ SV23 )
        = ( ^ [SY81: list_char > paraco1605129243lle_tv,SY82: list_char] : ( paraco1147068288nge_tv @ SV23 @ ( SY81 @ SY82 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[426]) ).

thf(464,plain,
    ! [SV24: $o,SV3: nat > nat] :
      ( ( ( paraco1147068288nge_tv @ SV3 @ ( paraco1344940915le_Det @ SV24 ) )
        = ( paraco1344940915le_Det @ SV24 ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[428]) ).

thf(465,plain,
    ! [SV3: nat > nat] :
      ( ( ( paraco1147068288nge_tv @ SV3 @ ( paraco1344940915le_Det @ $true ) )
        = ( paraco1344940915le_Det @ $true ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[428]) ).

thf(466,plain,
    ! [SV3: nat > nat] :
      ( ( ( paraco1147068288nge_tv @ SV3 @ ( paraco1344940915le_Det @ $false ) )
        = ( paraco1344940915le_Det @ $false ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[428]) ).

thf(467,plain,
    ! [SV25: paraco1604210848lle_fm] :
      ( ( ( paraco327635598_valid @ SV25 )
        = ( ! [SY83: list_char > paraco1605129243lle_tv] :
              ( ( paraco1325918602e_eval @ SY83 @ SV25 )
              = ( paraco1344940915le_Det @ $true ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[429]) ).

thf(468,plain,
    ! [SV26: paraco1604210848lle_fm,SV6: list_char > paraco1605129243lle_tv] :
      ( ( ! [SY84: paraco1604210848lle_fm] :
            ( ( paraco1325918602e_eval @ SV6 @ ( paraco1389086619le_Eql @ SV26 @ SY84 ) )
            = ( paraco1344940915le_Det
              @ ( ( paraco1325918602e_eval @ SV6 @ SV26 )
                = ( paraco1325918602e_eval @ SV6 @ SY84 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[432]) ).

thf(469,plain,
    ! [SV27: nat > paraco1605129243lle_tv,SV7: $o > paraco1605129243lle_tv] :
      ( ( ! [SY85: $o] :
            ( ( paraco2051596139lle_tv @ SV7 @ SV27 @ ( paraco1344940915le_Det @ SY85 ) )
            = ( SV7 @ SY85 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[433]) ).

thf(470,plain,
    ! [SV28: list_char > paraco1605129243lle_tv] :
      ( ( ( paraco1325918602e_eval @ SV28 )
        = ( ^ [SY86: paraco1604210848lle_fm] : ( paraco1325918602e_eval @ SV28 @ ( paraco445776468le_Neg @ ( paraco445776468le_Neg @ SY86 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[434]) ).

thf(471,plain,
    ! [SV29: list_char,SV9: list_char > paraco1605129243lle_tv] :
      ( ( ( paraco1325918602e_eval @ SV9 @ ( paraco1480028776le_Pro @ SV29 ) )
        = ( SV9 @ SV29 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[436]) ).

thf(472,plain,
    ! [SV10: $o] :
      ( ( ( SV10 = $true )
        = $true )
      | ( ( SV10 = $false )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[437]) ).

thf(473,plain,
    ( ( ( $true = $true )
      = $true )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[438]) ).

thf(474,plain,
    ( ( ( $false = $true )
      = $true )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[439]) ).

thf(475,plain,
    ! [SV30: paraco1605129243lle_tv,SV11: paraco1605129243lle_tv > $o] :
      ( ( ~ ! [SY62: $o] : ( SV11 @ ( paraco1344940915le_Det @ SY62 ) )
        | ~ ! [SY63: nat] : ( SV11 @ ( paraco793048302_Indet @ SY63 ) )
        | ( SV11 @ SV30 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[441]) ).

thf(476,plain,
    ! [SV12: paraco1605129243lle_tv] :
      ( ( ( ~ ( ( SV12
               != ( paraco1344940915le_Det @ $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV12
               != ( paraco1344940915le_Det @ $false ) ) )
          | ~ ! [SY64: nat] :
                ( SV12
               != ( paraco793048302_Indet @ SY64 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[442]) ).

thf(477,plain,
    ! [SV31: paraco1604210848lle_fm,SV13: list_char > paraco1605129243lle_tv] :
      ( ( ~ ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
                 != ( paraco1344940915le_Det @ $false ) )
                | ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SV31 ) )
                  = ( paraco1344940915le_Det @ $true ) ) )
            | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
                     != ( paraco1344940915le_Det @ $false ) ) )
                | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
                         != ( paraco1344940915le_Det @ $true ) )
                        | ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SV31 ) )
                          = ( paraco1344940915le_Det @ $false ) ) )
                    | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
                             != ( paraco1344940915le_Det @ $true ) ) )
                        | ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SV31 ) )
                          = ( paraco1325918602e_eval @ SV13 @ SV31 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[443]) ).

thf(478,plain,
    ! [SV32: paraco1604210848lle_fm,SV14: list_char > paraco1605129243lle_tv] :
      ( ( ! [SY89: paraco1604210848lle_fm] :
            ~ ( ~ ( ( ( paraco1325918602e_eval @ SV14 @ SV32 )
                   != ( paraco1325918602e_eval @ SV14 @ SY89 ) )
                  | ( ( paraco1325918602e_eval @ SV14 @ ( paraco1389086619le_Eql @ SV32 @ SY89 ) )
                    = ( paraco1344940915le_Det @ $true ) ) )
              | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV14 @ SV32 )
                       != ( paraco1325918602e_eval @ SV14 @ SY89 ) ) )
                  | ( ( paraco1325918602e_eval @ SV14 @ ( paraco1389086619le_Eql @ SV32 @ SY89 ) )
                    = ( paraco1344940915le_Det @ $false ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[444]) ).

thf(479,plain,
    ! [SV33: nat,SV15: $o] :
      ( ( ( paraco1344940915le_Det @ SV15 )
       != ( paraco793048302_Indet @ SV33 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[445]) ).

thf(480,plain,
    ! [SV34: nat] :
      ( ( ( paraco1344940915le_Det @ $true )
       != ( paraco793048302_Indet @ SV34 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[446]) ).

thf(481,plain,
    ! [SV35: nat] :
      ( ( ( paraco1344940915le_Det @ $false )
       != ( paraco793048302_Indet @ SV35 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[447]) ).

thf(482,plain,
    ! [SV36: nat > nat,SV16: ( nat > nat ) > paraco1605129243lle_tv > $o] :
      ( ( ! [SY90: paraco1605129243lle_tv] :
            ( ~ ! [SY71: nat > nat,SY72: $o] : ( SV16 @ SY71 @ ( paraco1344940915le_Det @ SY72 ) )
            | ~ ! [SY73: nat > nat,SY74: nat] : ( SV16 @ SY73 @ ( paraco793048302_Indet @ SY74 ) )
            | ( SV16 @ SV36 @ SY90 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[448]) ).

thf(483,plain,
    ! [SV17: paraco1605129243lle_tv] :
      ( ( ( ~ ! [SY75: $o] :
                ( SV17
               != ( paraco1344940915le_Det @ SY75 ) ) )
        = $true )
      | ( ( ~ ! [SY76: nat] :
                ( SV17
               != ( paraco793048302_Indet @ SY76 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[449]) ).

thf(484,plain,
    ! [SV37: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ! [SY95: paraco1604210848lle_fm] :
            ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
                   != ( paraco1325918602e_eval @ SV18 @ SY95 ) )
                  | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SY95 ) )
                    = ( paraco1325918602e_eval @ SV18 @ SV37 ) ) )
              | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
                       != ( paraco1325918602e_eval @ SV18 @ SY95 ) ) )
                  | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
                           != ( paraco1344940915le_Det @ $true ) )
                          | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SY95 ) )
                            = ( paraco1325918602e_eval @ SV18 @ SY95 ) ) )
                      | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
                               != ( paraco1344940915le_Det @ $true ) ) )
                          | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SY95 )
                                   != ( paraco1344940915le_Det @ $true ) )
                                  | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SY95 ) )
                                    = ( paraco1325918602e_eval @ SV18 @ SV37 ) ) )
                              | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SY95 )
                                       != ( paraco1344940915le_Det @ $true ) ) )
                                  | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SY95 ) )
                                    = ( paraco1344940915le_Det @ $false ) ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[450]) ).

thf(485,plain,
    ! [SV38: paraco1605129243lle_tv,SV19: paraco1605129243lle_tv > $o] :
      ( ( ~ ( SV19 @ ( paraco1344940915le_Det @ $true ) )
        | ~ ( SV19 @ ( paraco1344940915le_Det @ $false ) )
        | ~ ! [SY80: nat] : ( SV19 @ ( paraco793048302_Indet @ SY80 ) )
        | ( SV19 @ SV38 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[451]) ).

thf(486,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
              = ( paraco1344940915le_Det @ SV20 ) )
            | ( SV1 = SV20 ) )
        | ~ ( ( ( paraco1344940915le_Det @ SV1 )
             != ( paraco1344940915le_Det @ SV20 ) )
            | ( SV1 != SV20 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[454]) ).

thf(487,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ SV20 ) )
        = ( SV1 = SV20 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[454]) ).

thf(488,plain,
    ! [SV1: $o] :
      ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
              = ( paraco1344940915le_Det @ $true ) )
            | ( SV1 = $true ) )
        | ~ ( ( ( paraco1344940915le_Det @ SV1 )
             != ( paraco1344940915le_Det @ $true ) )
            | ( SV1 != $true ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[455]) ).

thf(489,plain,
    ! [SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $true ) )
        = ( SV1 = $true ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[455]) ).

thf(490,plain,
    ! [SV1: $o] :
      ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
              = ( paraco1344940915le_Det @ $false ) )
            | ( SV1 = $false ) )
        | ~ ( ( ( paraco1344940915le_Det @ SV1 )
             != ( paraco1344940915le_Det @ $false ) )
            | ( SV1 != $false ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[456]) ).

thf(491,plain,
    ! [SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $false ) )
        = ( SV1 = $false ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[456]) ).

thf(492,plain,
    ! [SV21: $o] :
      ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
              = ( paraco1344940915le_Det @ SV21 ) )
            | ( $true = SV21 ) )
        | ~ ( ( ( paraco1344940915le_Det @ $true )
             != ( paraco1344940915le_Det @ SV21 ) )
            | ( $true != SV21 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[457]) ).

thf(493,plain,
    ! [SV21: $o] :
      ( ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1344940915le_Det @ SV21 ) )
        = ( $true = SV21 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[457]) ).

thf(494,plain,
    ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
            = ( paraco1344940915le_Det @ $true ) )
          | ( $true = $true ) )
      | ~ ( ( ( paraco1344940915le_Det @ $true )
           != ( paraco1344940915le_Det @ $true ) )
          | ( $true != $true ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[458]) ).

thf(495,plain,
    ( ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $true ) )
      = ( $true = $true ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[458]) ).

thf(496,plain,
    ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
            = ( paraco1344940915le_Det @ $false ) )
          | ( $true = $false ) )
      | ~ ( ( ( paraco1344940915le_Det @ $true )
           != ( paraco1344940915le_Det @ $false ) )
          | ( $true != $false ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[459]) ).

thf(497,plain,
    ( ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $false ) )
      = ( $true = $false ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[459]) ).

thf(498,plain,
    ! [SV22: $o] :
      ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
              = ( paraco1344940915le_Det @ SV22 ) )
            | ( $false = SV22 ) )
        | ~ ( ( ( paraco1344940915le_Det @ $false )
             != ( paraco1344940915le_Det @ SV22 ) )
            | ( $false != SV22 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[460]) ).

thf(499,plain,
    ! [SV22: $o] :
      ( ( ( ( paraco1344940915le_Det @ $false )
          = ( paraco1344940915le_Det @ SV22 ) )
        = ( $false = SV22 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[460]) ).

thf(500,plain,
    ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
            = ( paraco1344940915le_Det @ $true ) )
          | ( $false = $true ) )
      | ~ ( ( ( paraco1344940915le_Det @ $false )
           != ( paraco1344940915le_Det @ $true ) )
          | ( $false != $true ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[461]) ).

thf(501,plain,
    ( ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $true ) )
      = ( $false = $true ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[461]) ).

thf(502,plain,
    ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
            = ( paraco1344940915le_Det @ $false ) )
          | ( $false = $false ) )
      | ~ ( ( ( paraco1344940915le_Det @ $false )
           != ( paraco1344940915le_Det @ $false ) )
          | ( $false != $false ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[462]) ).

thf(503,plain,
    ( ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $false ) )
      = ( $false = $false ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[462]) ).

thf(504,plain,
    ! [SV23: nat > nat] :
      ( ( ! [SV39: list_char > paraco1605129243lle_tv] :
            ( ( paraco761681009ge_int @ SV23 @ SV39 )
            = ( ^ [SY97: list_char] : ( paraco1147068288nge_tv @ SV23 @ ( SV39 @ SY97 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[463]) ).

thf(505,plain,
    ! [SV23: nat > nat] :
      ( ( ( paraco761681009ge_int @ SV23 )
        = ( ^ [SY81: list_char > paraco1605129243lle_tv,SY82: list_char] : ( paraco1147068288nge_tv @ SV23 @ ( SY81 @ SY82 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[463]) ).

thf(506,plain,
    ! [SV25: paraco1604210848lle_fm] :
      ( ( ~ ( ( paraco327635598_valid @ SV25 )
            | ! [SY83: list_char > paraco1605129243lle_tv] :
                ( ( paraco1325918602e_eval @ SY83 @ SV25 )
                = ( paraco1344940915le_Det @ $true ) ) )
        | ~ ( ~ ( paraco327635598_valid @ SV25 )
            | ~ ! [SY83: list_char > paraco1605129243lle_tv] :
                  ( ( paraco1325918602e_eval @ SY83 @ SV25 )
                  = ( paraco1344940915le_Det @ $true ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[467]) ).

thf(507,plain,
    ! [SV25: paraco1604210848lle_fm] :
      ( ( ( paraco327635598_valid @ SV25 )
        = ( ! [SY83: list_char > paraco1605129243lle_tv] :
              ( ( paraco1325918602e_eval @ SY83 @ SV25 )
              = ( paraco1344940915le_Det @ $true ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[467]) ).

thf(508,plain,
    ! [SV40: paraco1604210848lle_fm,SV26: paraco1604210848lle_fm,SV6: list_char > paraco1605129243lle_tv] :
      ( ( ( paraco1325918602e_eval @ SV6 @ ( paraco1389086619le_Eql @ SV26 @ SV40 ) )
        = ( paraco1344940915le_Det
          @ ( ( paraco1325918602e_eval @ SV6 @ SV26 )
            = ( paraco1325918602e_eval @ SV6 @ SV40 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[468]) ).

thf(509,plain,
    ! [SV41: $o,SV27: nat > paraco1605129243lle_tv,SV7: $o > paraco1605129243lle_tv] :
      ( ( ( paraco2051596139lle_tv @ SV7 @ SV27 @ ( paraco1344940915le_Det @ SV41 ) )
        = ( SV7 @ SV41 ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[469]) ).

thf(510,plain,
    ! [SV27: nat > paraco1605129243lle_tv,SV7: $o > paraco1605129243lle_tv] :
      ( ( ( paraco2051596139lle_tv @ SV7 @ SV27 @ ( paraco1344940915le_Det @ $true ) )
        = ( SV7 @ $true ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[469]) ).

thf(511,plain,
    ! [SV27: nat > paraco1605129243lle_tv,SV7: $o > paraco1605129243lle_tv] :
      ( ( ( paraco2051596139lle_tv @ SV7 @ SV27 @ ( paraco1344940915le_Det @ $false ) )
        = ( SV7 @ $false ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[469]) ).

thf(512,plain,
    ! [SV28: list_char > paraco1605129243lle_tv] :
      ( ( ! [SV42: paraco1604210848lle_fm] :
            ( ( paraco1325918602e_eval @ SV28 @ SV42 )
            = ( paraco1325918602e_eval @ SV28 @ ( paraco445776468le_Neg @ ( paraco445776468le_Neg @ SV42 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[470]) ).

thf(513,plain,
    ! [SV28: list_char > paraco1605129243lle_tv] :
      ( ( ( paraco1325918602e_eval @ SV28 )
        = ( ^ [SY86: paraco1604210848lle_fm] : ( paraco1325918602e_eval @ SV28 @ ( paraco445776468le_Neg @ ( paraco445776468le_Neg @ SY86 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[470]) ).

thf(514,plain,
    ! [SV10: $o] :
      ( ( ( ~ ( SV10
              | $true )
          | ~ ( ~ SV10
              | ~ $true ) )
        = $true )
      | ( ( SV10 = $false )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[472]) ).

thf(515,plain,
    ! [SV10: $o] :
      ( ( ( SV10 = $true )
        = $true )
      | ( ( SV10 = $false )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[472]) ).

thf(516,plain,
    ( ( ( ~ ( $true
            | $true )
        | ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[473]) ).

thf(517,plain,
    ( ( ( $true = $true )
      = $true )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[473]) ).

thf(518,plain,
    ( ( ( ~ ( $false
            | $true )
        | ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[474]) ).

thf(519,plain,
    ( ( ( $false = $true )
      = $true )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[474]) ).

thf(520,plain,
    ! [SV30: paraco1605129243lle_tv,SV11: paraco1605129243lle_tv > $o] :
      ( ( ( ~ ! [SY62: $o] : ( SV11 @ ( paraco1344940915le_Det @ SY62 ) ) )
        = $true )
      | ( ( ~ ! [SY63: nat] : ( SV11 @ ( paraco793048302_Indet @ SY63 ) )
          | ( SV11 @ SV30 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[475]) ).

thf(521,plain,
    ! [SV12: paraco1605129243lle_tv] :
      ( ( ( SV12
         != ( paraco1344940915le_Det @ $true ) )
        = $false )
      | ( ( ~ ( ( SV12
               != ( paraco1344940915le_Det @ $false ) ) )
          | ~ ! [SY64: nat] :
                ( SV12
               != ( paraco793048302_Indet @ SY64 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[476]) ).

thf(522,plain,
    ! [SV31: paraco1604210848lle_fm,SV13: list_char > paraco1605129243lle_tv] :
      ( ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
             != ( paraco1344940915le_Det @ $false ) )
            | ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SV31 ) )
              = ( paraco1344940915le_Det @ $true ) ) )
        | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
                 != ( paraco1344940915le_Det @ $false ) ) )
            | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
                     != ( paraco1344940915le_Det @ $true ) )
                    | ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SV31 ) )
                      = ( paraco1344940915le_Det @ $false ) ) )
                | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
                         != ( paraco1344940915le_Det @ $true ) ) )
                    | ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SV31 ) )
                      = ( paraco1325918602e_eval @ SV13 @ SV31 ) ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[477]) ).

thf(523,plain,
    ! [SV43: paraco1604210848lle_fm,SV32: paraco1604210848lle_fm,SV14: list_char > paraco1605129243lle_tv] :
      ( ( ~ ( ~ ( ( ( paraco1325918602e_eval @ SV14 @ SV32 )
                 != ( paraco1325918602e_eval @ SV14 @ SV43 ) )
                | ( ( paraco1325918602e_eval @ SV14 @ ( paraco1389086619le_Eql @ SV32 @ SV43 ) )
                  = ( paraco1344940915le_Det @ $true ) ) )
            | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV14 @ SV32 )
                     != ( paraco1325918602e_eval @ SV14 @ SV43 ) ) )
                | ( ( paraco1325918602e_eval @ SV14 @ ( paraco1389086619le_Eql @ SV32 @ SV43 ) )
                  = ( paraco1344940915le_Det @ $false ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[478]) ).

thf(524,plain,
    ! [SV33: nat,SV15: $o] :
      ( ( ( paraco1344940915le_Det @ SV15 )
        = ( paraco793048302_Indet @ SV33 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[479]) ).

thf(525,plain,
    ! [SV34: nat] :
      ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco793048302_Indet @ SV34 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[480]) ).

thf(526,plain,
    ! [SV35: nat] :
      ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco793048302_Indet @ SV35 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[481]) ).

thf(527,plain,
    ! [SV44: paraco1605129243lle_tv,SV36: nat > nat,SV16: ( nat > nat ) > paraco1605129243lle_tv > $o] :
      ( ( ~ ! [SY71: nat > nat,SY72: $o] : ( SV16 @ SY71 @ ( paraco1344940915le_Det @ SY72 ) )
        | ~ ! [SY73: nat > nat,SY74: nat] : ( SV16 @ SY73 @ ( paraco793048302_Indet @ SY74 ) )
        | ( SV16 @ SV36 @ SV44 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[482]) ).

thf(528,plain,
    ! [SV17: paraco1605129243lle_tv] :
      ( ( ( ! [SY75: $o] :
              ( SV17
             != ( paraco1344940915le_Det @ SY75 ) ) )
        = $false )
      | ( ( ~ ! [SY76: nat] :
                ( SV17
               != ( paraco793048302_Indet @ SY76 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[483]) ).

thf(529,plain,
    ! [SV45: paraco1604210848lle_fm,SV37: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
                 != ( paraco1325918602e_eval @ SV18 @ SV45 ) )
                | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                  = ( paraco1325918602e_eval @ SV18 @ SV37 ) ) )
            | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
                     != ( paraco1325918602e_eval @ SV18 @ SV45 ) ) )
                | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
                         != ( paraco1344940915le_Det @ $true ) )
                        | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                          = ( paraco1325918602e_eval @ SV18 @ SV45 ) ) )
                    | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
                             != ( paraco1344940915le_Det @ $true ) ) )
                        | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
                                 != ( paraco1344940915le_Det @ $true ) )
                                | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                                  = ( paraco1325918602e_eval @ SV18 @ SV37 ) ) )
                            | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
                                     != ( paraco1344940915le_Det @ $true ) ) )
                                | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                                  = ( paraco1344940915le_Det @ $false ) ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[484]) ).

thf(530,plain,
    ! [SV38: paraco1605129243lle_tv,SV19: paraco1605129243lle_tv > $o] :
      ( ( ( ~ ( SV19 @ ( paraco1344940915le_Det @ $true ) ) )
        = $true )
      | ( ( ~ ( SV19 @ ( paraco1344940915le_Det @ $false ) )
          | ~ ! [SY80: nat] : ( SV19 @ ( paraco793048302_Indet @ SY80 ) )
          | ( SV19 @ SV38 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[485]) ).

thf(531,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
                = ( paraco1344940915le_Det @ SV20 ) )
              | ( SV1 = SV20 ) ) )
        = $true )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ SV20 ) )
              | ( SV1 != SV20 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[486]) ).

thf(532,plain,
    ! [SV1: $o] :
      ( ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
                = ( paraco1344940915le_Det @ $true ) )
              | ( SV1 = $true ) ) )
        = $true )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ $true ) )
              | ( SV1 != $true ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[488]) ).

thf(533,plain,
    ! [SV1: $o] :
      ( ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
                = ( paraco1344940915le_Det @ $false ) )
              | ( SV1 = $false ) ) )
        = $true )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ $false ) )
              | ( SV1 != $false ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[490]) ).

thf(534,plain,
    ! [SV21: $o] :
      ( ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
                = ( paraco1344940915le_Det @ SV21 ) )
              | ( $true = SV21 ) ) )
        = $true )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
               != ( paraco1344940915le_Det @ SV21 ) )
              | ( $true != SV21 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[492]) ).

thf(535,plain,
    ( ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
              = ( paraco1344940915le_Det @ $true ) )
            | ( $true = $true ) ) )
      = $true )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
             != ( paraco1344940915le_Det @ $true ) )
            | ( $true != $true ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[494]) ).

thf(536,plain,
    ( ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
              = ( paraco1344940915le_Det @ $false ) )
            | ( $true = $false ) ) )
      = $true )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
             != ( paraco1344940915le_Det @ $false ) )
            | ( $true != $false ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[496]) ).

thf(537,plain,
    ! [SV22: $o] :
      ( ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
                = ( paraco1344940915le_Det @ SV22 ) )
              | ( $false = SV22 ) ) )
        = $true )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
               != ( paraco1344940915le_Det @ SV22 ) )
              | ( $false != SV22 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[498]) ).

thf(538,plain,
    ( ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
              = ( paraco1344940915le_Det @ $true ) )
            | ( $false = $true ) ) )
      = $true )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
             != ( paraco1344940915le_Det @ $true ) )
            | ( $false != $true ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[500]) ).

thf(539,plain,
    ( ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
              = ( paraco1344940915le_Det @ $false ) )
            | ( $false = $false ) ) )
      = $true )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
             != ( paraco1344940915le_Det @ $false ) )
            | ( $false != $false ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[502]) ).

thf(540,plain,
    ! [SV46: list_char > paraco1605129243lle_tv,SV23: nat > nat] :
      ( ( ( paraco761681009ge_int @ SV23 @ SV46 )
        = ( ^ [SY102: list_char] : ( paraco1147068288nge_tv @ SV23 @ ( SV46 @ SY102 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[504]) ).

thf(541,plain,
    ! [SV25: paraco1604210848lle_fm] :
      ( ( ( ~ ( ( paraco327635598_valid @ SV25 )
              | ! [SY83: list_char > paraco1605129243lle_tv] :
                  ( ( paraco1325918602e_eval @ SY83 @ SV25 )
                  = ( paraco1344940915le_Det @ $true ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( paraco327635598_valid @ SV25 )
              | ~ ! [SY83: list_char > paraco1605129243lle_tv] :
                    ( ( paraco1325918602e_eval @ SY83 @ SV25 )
                    = ( paraco1344940915le_Det @ $true ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[506]) ).

thf(542,plain,
    ! [SV47: paraco1604210848lle_fm,SV28: list_char > paraco1605129243lle_tv] :
      ( ( ( paraco1325918602e_eval @ SV28 @ SV47 )
        = ( paraco1325918602e_eval @ SV28 @ ( paraco445776468le_Neg @ ( paraco445776468le_Neg @ SV47 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[512]) ).

thf(543,plain,
    ! [SV10: $o] :
      ( ( ( ~ ( SV10
              | $true ) )
        = $true )
      | ( ( ~ ( ~ SV10
              | ~ $true ) )
        = $true )
      | ( ( SV10 = $false )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[514]) ).

thf(544,plain,
    ! [SV10: $o] :
      ( ( ( ~ ( SV10
              | $false )
          | ~ ( ~ SV10
              | ~ $false ) )
        = $true )
      | ( ( SV10 = $true )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[515]) ).

thf(545,plain,
    ! [SV10: $o] :
      ( ( ( SV10 = $false )
        = $true )
      | ( ( SV10 = $true )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[515]) ).

thf(546,plain,
    ( ( ( ~ ( $true
            | $true ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[516]) ).

thf(547,plain,
    ( ( ( ~ ( $true
            | $false )
        | ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[517]) ).

thf(548,plain,
    ( ( ( $true = $false )
      = $true )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[517]) ).

thf(549,plain,
    ( ( ( ~ ( $false
            | $true ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[518]) ).

thf(550,plain,
    ( ( ( ~ ( $false
            | $false )
        | ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[519]) ).

thf(551,plain,
    ( ( ( $false = $false )
      = $true )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[519]) ).

thf(552,plain,
    ! [SV30: paraco1605129243lle_tv,SV11: paraco1605129243lle_tv > $o] :
      ( ( ( ! [SY62: $o] : ( SV11 @ ( paraco1344940915le_Det @ SY62 ) ) )
        = $false )
      | ( ( ~ ! [SY63: nat] : ( SV11 @ ( paraco793048302_Indet @ SY63 ) )
          | ( SV11 @ SV30 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[520]) ).

thf(553,plain,
    ! [SV12: paraco1605129243lle_tv] :
      ( ( ( SV12
          = ( paraco1344940915le_Det @ $true ) )
        = $true )
      | ( ( ~ ( ( SV12
               != ( paraco1344940915le_Det @ $false ) ) )
          | ~ ! [SY64: nat] :
                ( SV12
               != ( paraco793048302_Indet @ SY64 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[521]) ).

thf(554,plain,
    ! [SV31: paraco1604210848lle_fm,SV13: list_char > paraco1605129243lle_tv] :
      ( ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
             != ( paraco1344940915le_Det @ $false ) )
            | ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SV31 ) )
              = ( paraco1344940915le_Det @ $true ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[522]) ).

thf(555,plain,
    ! [SV31: paraco1604210848lle_fm,SV13: list_char > paraco1605129243lle_tv] :
      ( ( ~ ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
                 != ( paraco1344940915le_Det @ $false ) ) )
            | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
                     != ( paraco1344940915le_Det @ $true ) )
                    | ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SV31 ) )
                      = ( paraco1344940915le_Det @ $false ) ) )
                | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
                         != ( paraco1344940915le_Det @ $true ) ) )
                    | ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SV31 ) )
                      = ( paraco1325918602e_eval @ SV13 @ SV31 ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[522]) ).

thf(556,plain,
    ! [SV43: paraco1604210848lle_fm,SV32: paraco1604210848lle_fm,SV14: list_char > paraco1605129243lle_tv] :
      ( ( ~ ( ( ( paraco1325918602e_eval @ SV14 @ SV32 )
             != ( paraco1325918602e_eval @ SV14 @ SV43 ) )
            | ( ( paraco1325918602e_eval @ SV14 @ ( paraco1389086619le_Eql @ SV32 @ SV43 ) )
              = ( paraco1344940915le_Det @ $true ) ) )
        | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV14 @ SV32 )
                 != ( paraco1325918602e_eval @ SV14 @ SV43 ) ) )
            | ( ( paraco1325918602e_eval @ SV14 @ ( paraco1389086619le_Eql @ SV32 @ SV43 ) )
              = ( paraco1344940915le_Det @ $false ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[523]) ).

thf(557,plain,
    ! [SV44: paraco1605129243lle_tv,SV36: nat > nat,SV16: ( nat > nat ) > paraco1605129243lle_tv > $o] :
      ( ( ( ~ ! [SY71: nat > nat,SY72: $o] : ( SV16 @ SY71 @ ( paraco1344940915le_Det @ SY72 ) ) )
        = $true )
      | ( ( ~ ! [SY73: nat > nat,SY74: nat] : ( SV16 @ SY73 @ ( paraco793048302_Indet @ SY74 ) )
          | ( SV16 @ SV36 @ SV44 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[527]) ).

thf(558,plain,
    ! [SV17: paraco1605129243lle_tv] :
      ( ( ( SV17
         != ( paraco1344940915le_Det @ ( sK1_SY75 @ SV17 ) ) )
        = $false )
      | ( ( ~ ! [SY76: nat] :
                ( SV17
               != ( paraco793048302_Indet @ SY76 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[528]) ).

thf(559,plain,
    ! [SV45: paraco1604210848lle_fm,SV37: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
             != ( paraco1325918602e_eval @ SV18 @ SV45 ) )
            | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
              = ( paraco1325918602e_eval @ SV18 @ SV37 ) ) )
        | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
                 != ( paraco1325918602e_eval @ SV18 @ SV45 ) ) )
            | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
                     != ( paraco1344940915le_Det @ $true ) )
                    | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                      = ( paraco1325918602e_eval @ SV18 @ SV45 ) ) )
                | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
                         != ( paraco1344940915le_Det @ $true ) ) )
                    | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
                             != ( paraco1344940915le_Det @ $true ) )
                            | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                              = ( paraco1325918602e_eval @ SV18 @ SV37 ) ) )
                        | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
                                 != ( paraco1344940915le_Det @ $true ) ) )
                            | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                              = ( paraco1344940915le_Det @ $false ) ) ) ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[529]) ).

thf(560,plain,
    ! [SV38: paraco1605129243lle_tv,SV19: paraco1605129243lle_tv > $o] :
      ( ( ( SV19 @ ( paraco1344940915le_Det @ $true ) )
        = $false )
      | ( ( ~ ( SV19 @ ( paraco1344940915le_Det @ $false ) )
          | ~ ! [SY80: nat] : ( SV19 @ ( paraco793048302_Indet @ SY80 ) )
          | ( SV19 @ SV38 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[530]) ).

thf(561,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ( ( paraco1344940915le_Det @ SV1 )
            = ( paraco1344940915le_Det @ SV20 ) )
          | ( SV1 = SV20 ) )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ SV20 ) )
              | ( SV1 != SV20 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[531]) ).

thf(562,plain,
    ! [SV1: $o] :
      ( ( ( ( ( paraco1344940915le_Det @ SV1 )
            = ( paraco1344940915le_Det @ $true ) )
          | ( SV1 = $true ) )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ $true ) )
              | ( SV1 != $true ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[532]) ).

thf(563,plain,
    ! [SV1: $o] :
      ( ( ( ( ( paraco1344940915le_Det @ SV1 )
            = ( paraco1344940915le_Det @ $false ) )
          | ( SV1 = $false ) )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ $false ) )
              | ( SV1 != $false ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[533]) ).

thf(564,plain,
    ! [SV21: $o] :
      ( ( ( ( ( paraco1344940915le_Det @ $true )
            = ( paraco1344940915le_Det @ SV21 ) )
          | ( $true = SV21 ) )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
               != ( paraco1344940915le_Det @ SV21 ) )
              | ( $true != SV21 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[534]) ).

thf(565,plain,
    ( ( ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1344940915le_Det @ $true ) )
        | ( $true = $true ) )
      = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
             != ( paraco1344940915le_Det @ $true ) )
            | ( $true != $true ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[535]) ).

thf(566,plain,
    ( ( ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1344940915le_Det @ $false ) )
        | ( $true = $false ) )
      = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
             != ( paraco1344940915le_Det @ $false ) )
            | ( $true != $false ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[536]) ).

thf(567,plain,
    ! [SV22: $o] :
      ( ( ( ( ( paraco1344940915le_Det @ $false )
            = ( paraco1344940915le_Det @ SV22 ) )
          | ( $false = SV22 ) )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
               != ( paraco1344940915le_Det @ SV22 ) )
              | ( $false != SV22 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[537]) ).

thf(568,plain,
    ( ( ( ( ( paraco1344940915le_Det @ $false )
          = ( paraco1344940915le_Det @ $true ) )
        | ( $false = $true ) )
      = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
             != ( paraco1344940915le_Det @ $true ) )
            | ( $false != $true ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[538]) ).

thf(569,plain,
    ( ( ( ( ( paraco1344940915le_Det @ $false )
          = ( paraco1344940915le_Det @ $false ) )
        | ( $false = $false ) )
      = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
             != ( paraco1344940915le_Det @ $false ) )
            | ( $false != $false ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[539]) ).

thf(570,plain,
    ! [SV46: list_char > paraco1605129243lle_tv,SV23: nat > nat] :
      ( ( ! [SV48: list_char] :
            ( ( paraco761681009ge_int @ SV23 @ SV46 @ SV48 )
            = ( paraco1147068288nge_tv @ SV23 @ ( SV46 @ SV48 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[540]) ).

thf(571,plain,
    ! [SV46: list_char > paraco1605129243lle_tv,SV23: nat > nat] :
      ( ( ( paraco761681009ge_int @ SV23 @ SV46 )
        = ( ^ [SY102: list_char] : ( paraco1147068288nge_tv @ SV23 @ ( SV46 @ SY102 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[540]) ).

thf(572,plain,
    ! [SV25: paraco1604210848lle_fm] :
      ( ( ( ( paraco327635598_valid @ SV25 )
          | ! [SY83: list_char > paraco1605129243lle_tv] :
              ( ( paraco1325918602e_eval @ SY83 @ SV25 )
              = ( paraco1344940915le_Det @ $true ) ) )
        = $false )
      | ( ( ~ ( ~ ( paraco327635598_valid @ SV25 )
              | ~ ! [SY83: list_char > paraco1605129243lle_tv] :
                    ( ( paraco1325918602e_eval @ SY83 @ SV25 )
                    = ( paraco1344940915le_Det @ $true ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[541]) ).

thf(573,plain,
    ! [SV10: $o] :
      ( ( ( SV10
          | $true )
        = $false )
      | ( ( ~ ( ~ SV10
              | ~ $true ) )
        = $true )
      | ( ( SV10 = $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[543]) ).

thf(574,plain,
    ! [SV10: $o] :
      ( ( ( ~ ( SV10
              | $false ) )
        = $true )
      | ( ( ~ ( ~ SV10
              | ~ $false ) )
        = $true )
      | ( ( SV10 = $true )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[544]) ).

thf(575,plain,
    ( ( ( $true
        | $true )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[546]) ).

thf(576,plain,
    ( ( ( ~ ( $true
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[547]) ).

thf(577,plain,
    ( ( ( $false
        | $true )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[549]) ).

thf(578,plain,
    ( ( ( ~ ( $false
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[550]) ).

thf(579,plain,
    ! [SV30: paraco1605129243lle_tv,SV11: paraco1605129243lle_tv > $o] :
      ( ( ( SV11 @ ( paraco1344940915le_Det @ ( sK2_SY62 @ SV30 @ SV11 ) ) )
        = $false )
      | ( ( ~ ! [SY63: nat] : ( SV11 @ ( paraco793048302_Indet @ SY63 ) )
          | ( SV11 @ SV30 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[552]) ).

thf(580,plain,
    ! [SV12: paraco1605129243lle_tv] :
      ( ( ( ~ ( ( SV12
               != ( paraco1344940915le_Det @ $false ) ) ) )
        = $true )
      | ( ( ~ ! [SY64: nat] :
                ( SV12
               != ( paraco793048302_Indet @ SY64 ) ) )
        = $true )
      | ( ( SV12
          = ( paraco1344940915le_Det @ $true ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[553]) ).

thf(581,plain,
    ! [SV31: paraco1604210848lle_fm,SV13: list_char > paraco1605129243lle_tv] :
      ( ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
         != ( paraco1344940915le_Det @ $false ) )
        | ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SV31 ) )
          = ( paraco1344940915le_Det @ $true ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[554]) ).

thf(582,plain,
    ! [SV31: paraco1604210848lle_fm,SV13: list_char > paraco1605129243lle_tv] :
      ( ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
             != ( paraco1344940915le_Det @ $false ) ) )
        | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
                 != ( paraco1344940915le_Det @ $true ) )
                | ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SV31 ) )
                  = ( paraco1344940915le_Det @ $false ) ) )
            | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
                     != ( paraco1344940915le_Det @ $true ) ) )
                | ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SV31 ) )
                  = ( paraco1325918602e_eval @ SV13 @ SV31 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[555]) ).

thf(583,plain,
    ! [SV43: paraco1604210848lle_fm,SV32: paraco1604210848lle_fm,SV14: list_char > paraco1605129243lle_tv] :
      ( ( ~ ( ( ( paraco1325918602e_eval @ SV14 @ SV32 )
             != ( paraco1325918602e_eval @ SV14 @ SV43 ) )
            | ( ( paraco1325918602e_eval @ SV14 @ ( paraco1389086619le_Eql @ SV32 @ SV43 ) )
              = ( paraco1344940915le_Det @ $true ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[556]) ).

thf(584,plain,
    ! [SV43: paraco1604210848lle_fm,SV32: paraco1604210848lle_fm,SV14: list_char > paraco1605129243lle_tv] :
      ( ( ~ ( ~ ( ( ( paraco1325918602e_eval @ SV14 @ SV32 )
                 != ( paraco1325918602e_eval @ SV14 @ SV43 ) ) )
            | ( ( paraco1325918602e_eval @ SV14 @ ( paraco1389086619le_Eql @ SV32 @ SV43 ) )
              = ( paraco1344940915le_Det @ $false ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[556]) ).

thf(585,plain,
    ! [SV44: paraco1605129243lle_tv,SV36: nat > nat,SV16: ( nat > nat ) > paraco1605129243lle_tv > $o] :
      ( ( ( ! [SY71: nat > nat,SY72: $o] : ( SV16 @ SY71 @ ( paraco1344940915le_Det @ SY72 ) ) )
        = $false )
      | ( ( ~ ! [SY73: nat > nat,SY74: nat] : ( SV16 @ SY73 @ ( paraco793048302_Indet @ SY74 ) )
          | ( SV16 @ SV36 @ SV44 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[557]) ).

thf(586,plain,
    ! [SV17: paraco1605129243lle_tv] :
      ( ( ( SV17
          = ( paraco1344940915le_Det @ ( sK1_SY75 @ SV17 ) ) )
        = $true )
      | ( ( ~ ! [SY76: nat] :
                ( SV17
               != ( paraco793048302_Indet @ SY76 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[558]) ).

thf(587,plain,
    ! [SV45: paraco1604210848lle_fm,SV37: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
             != ( paraco1325918602e_eval @ SV18 @ SV45 ) )
            | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
              = ( paraco1325918602e_eval @ SV18 @ SV37 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[559]) ).

thf(588,plain,
    ! [SV45: paraco1604210848lle_fm,SV37: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
                 != ( paraco1325918602e_eval @ SV18 @ SV45 ) ) )
            | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
                     != ( paraco1344940915le_Det @ $true ) )
                    | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                      = ( paraco1325918602e_eval @ SV18 @ SV45 ) ) )
                | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
                         != ( paraco1344940915le_Det @ $true ) ) )
                    | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
                             != ( paraco1344940915le_Det @ $true ) )
                            | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                              = ( paraco1325918602e_eval @ SV18 @ SV37 ) ) )
                        | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
                                 != ( paraco1344940915le_Det @ $true ) ) )
                            | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                              = ( paraco1344940915le_Det @ $false ) ) ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[559]) ).

thf(589,plain,
    ! [SV38: paraco1605129243lle_tv,SV19: paraco1605129243lle_tv > $o] :
      ( ( ( ~ ( SV19 @ ( paraco1344940915le_Det @ $false ) ) )
        = $true )
      | ( ( ~ ! [SY80: nat] : ( SV19 @ ( paraco793048302_Indet @ SY80 ) )
          | ( SV19 @ SV38 ) )
        = $true )
      | ( ( SV19 @ ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[560]) ).

thf(590,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ SV20 ) )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ SV20 ) )
              | ( SV1 != SV20 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[561]) ).

thf(591,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( SV1 = SV20 )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ SV20 ) )
              | ( SV1 != SV20 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[561]) ).

thf(592,plain,
    ! [SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ $true ) )
              | ( SV1 != $true ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[562]) ).

thf(593,plain,
    ! [SV1: $o] :
      ( ( ( SV1 = $true )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ $true ) )
              | ( SV1 != $true ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[562]) ).

thf(594,plain,
    ! [SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $false ) )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ $false ) )
              | ( SV1 != $false ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[563]) ).

thf(595,plain,
    ! [SV1: $o] :
      ( ( ( SV1 = $false )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ $false ) )
              | ( SV1 != $false ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[563]) ).

thf(596,plain,
    ! [SV21: $o] :
      ( ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1344940915le_Det @ SV21 ) )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
               != ( paraco1344940915le_Det @ SV21 ) )
              | ( $true != SV21 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[564]) ).

thf(597,plain,
    ! [SV21: $o] :
      ( ( ( $true = SV21 )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
               != ( paraco1344940915le_Det @ SV21 ) )
              | ( $true != SV21 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[564]) ).

thf(598,plain,
    ( ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $true ) )
      = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
             != ( paraco1344940915le_Det @ $true ) )
            | ( $true != $true ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[565]) ).

thf(599,plain,
    ( ( ( $true = $true )
      = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
             != ( paraco1344940915le_Det @ $true ) )
            | ( $true != $true ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[565]) ).

thf(600,plain,
    ( ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $false ) )
      = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
             != ( paraco1344940915le_Det @ $false ) )
            | ( $true != $false ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[566]) ).

thf(601,plain,
    ( ( ( $true = $false )
      = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
             != ( paraco1344940915le_Det @ $false ) )
            | ( $true != $false ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[566]) ).

thf(602,plain,
    ! [SV22: $o] :
      ( ( ( ( paraco1344940915le_Det @ $false )
          = ( paraco1344940915le_Det @ SV22 ) )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
               != ( paraco1344940915le_Det @ SV22 ) )
              | ( $false != SV22 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[567]) ).

thf(603,plain,
    ! [SV22: $o] :
      ( ( ( $false = SV22 )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
               != ( paraco1344940915le_Det @ SV22 ) )
              | ( $false != SV22 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[567]) ).

thf(604,plain,
    ( ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $true ) )
      = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
             != ( paraco1344940915le_Det @ $true ) )
            | ( $false != $true ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[568]) ).

thf(605,plain,
    ( ( ( $false = $true )
      = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
             != ( paraco1344940915le_Det @ $true ) )
            | ( $false != $true ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[568]) ).

thf(606,plain,
    ( ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $false ) )
      = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
             != ( paraco1344940915le_Det @ $false ) )
            | ( $false != $false ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[569]) ).

thf(607,plain,
    ( ( ( $false = $false )
      = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
             != ( paraco1344940915le_Det @ $false ) )
            | ( $false != $false ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[569]) ).

thf(608,plain,
    ! [SV49: list_char,SV46: list_char > paraco1605129243lle_tv,SV23: nat > nat] :
      ( ( ( paraco761681009ge_int @ SV23 @ SV46 @ SV49 )
        = ( paraco1147068288nge_tv @ SV23 @ ( SV46 @ SV49 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[570]) ).

thf(609,plain,
    ! [SV25: paraco1604210848lle_fm] :
      ( ( ( paraco327635598_valid @ SV25 )
        = $false )
      | ( ( ~ ( ~ ( paraco327635598_valid @ SV25 )
              | ~ ! [SY83: list_char > paraco1605129243lle_tv] :
                    ( ( paraco1325918602e_eval @ SY83 @ SV25 )
                    = ( paraco1344940915le_Det @ $true ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[572]) ).

thf(610,plain,
    ! [SV25: paraco1604210848lle_fm] :
      ( ( ( ! [SY83: list_char > paraco1605129243lle_tv] :
              ( ( paraco1325918602e_eval @ SY83 @ SV25 )
              = ( paraco1344940915le_Det @ $true ) ) )
        = $false )
      | ( ( ~ ( ~ ( paraco327635598_valid @ SV25 )
              | ~ ! [SY83: list_char > paraco1605129243lle_tv] :
                    ( ( paraco1325918602e_eval @ SY83 @ SV25 )
                    = ( paraco1344940915le_Det @ $true ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[572]) ).

thf(611,plain,
    ! [SV10: $o] :
      ( ( SV10 = $false )
      | ( ( ~ ( ~ SV10
              | ~ $true ) )
        = $true )
      | ( ( SV10 = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[573]) ).

thf(612,plain,
    ! [SV10: $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ SV10
              | ~ $true ) )
        = $true )
      | ( ( SV10 = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[573]) ).

thf(613,plain,
    ! [SV10: $o] :
      ( ( ( SV10
          | $false )
        = $false )
      | ( ( ~ ( ~ SV10
              | ~ $false ) )
        = $true )
      | ( ( SV10 = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[574]) ).

thf(614,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[575]) ).

thf(615,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[575]) ).

thf(616,plain,
    ( ( ( $true
        | $false )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[576]) ).

thf(617,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[577]) ).

thf(618,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[577]) ).

thf(619,plain,
    ( ( ( $false
        | $false )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[578]) ).

thf(620,plain,
    ! [SV30: paraco1605129243lle_tv,SV11: paraco1605129243lle_tv > $o] :
      ( ( ( ~ ! [SY63: nat] : ( SV11 @ ( paraco793048302_Indet @ SY63 ) ) )
        = $true )
      | ( ( SV11 @ SV30 )
        = $true )
      | ( ( SV11 @ ( paraco1344940915le_Det @ ( sK2_SY62 @ SV30 @ SV11 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[579]) ).

thf(621,plain,
    ! [SV12: paraco1605129243lle_tv] :
      ( ( ( SV12
         != ( paraco1344940915le_Det @ $false ) )
        = $false )
      | ( ( ~ ! [SY64: nat] :
                ( SV12
               != ( paraco793048302_Indet @ SY64 ) ) )
        = $true )
      | ( ( SV12
          = ( paraco1344940915le_Det @ $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[580]) ).

thf(622,plain,
    ! [SV31: paraco1604210848lle_fm,SV13: list_char > paraco1605129243lle_tv] :
      ( ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
         != ( paraco1344940915le_Det @ $false ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SV31 ) )
          = ( paraco1344940915le_Det @ $true ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[581]) ).

thf(623,plain,
    ! [SV31: paraco1604210848lle_fm,SV13: list_char > paraco1605129243lle_tv] :
      ( ( ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
               != ( paraco1344940915le_Det @ $false ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
                   != ( paraco1344940915le_Det @ $true ) )
                  | ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SV31 ) )
                    = ( paraco1344940915le_Det @ $false ) ) )
              | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
                       != ( paraco1344940915le_Det @ $true ) ) )
                  | ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SV31 ) )
                    = ( paraco1325918602e_eval @ SV13 @ SV31 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[582]) ).

thf(624,plain,
    ! [SV43: paraco1604210848lle_fm,SV32: paraco1604210848lle_fm,SV14: list_char > paraco1605129243lle_tv] :
      ( ( ( ( paraco1325918602e_eval @ SV14 @ SV32 )
         != ( paraco1325918602e_eval @ SV14 @ SV43 ) )
        | ( ( paraco1325918602e_eval @ SV14 @ ( paraco1389086619le_Eql @ SV32 @ SV43 ) )
          = ( paraco1344940915le_Det @ $true ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[583]) ).

thf(625,plain,
    ! [SV43: paraco1604210848lle_fm,SV32: paraco1604210848lle_fm,SV14: list_char > paraco1605129243lle_tv] :
      ( ( ~ ( ( ( paraco1325918602e_eval @ SV14 @ SV32 )
             != ( paraco1325918602e_eval @ SV14 @ SV43 ) ) )
        | ( ( paraco1325918602e_eval @ SV14 @ ( paraco1389086619le_Eql @ SV32 @ SV43 ) )
          = ( paraco1344940915le_Det @ $false ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[584]) ).

thf(626,plain,
    ! [SV36: nat > nat,SV44: paraco1605129243lle_tv,SV16: ( nat > nat ) > paraco1605129243lle_tv > $o] :
      ( ( ( ! [SY103: $o] : ( SV16 @ ( sK3_SY71 @ SV44 @ SV36 @ SV16 ) @ ( paraco1344940915le_Det @ SY103 ) ) )
        = $false )
      | ( ( ~ ! [SY73: nat > nat,SY74: nat] : ( SV16 @ SY73 @ ( paraco793048302_Indet @ SY74 ) )
          | ( SV16 @ SV36 @ SV44 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[585]) ).

thf(627,plain,
    ! [SV17: paraco1605129243lle_tv] :
      ( ( ( ! [SY76: nat] :
              ( SV17
             != ( paraco793048302_Indet @ SY76 ) ) )
        = $false )
      | ( ( SV17
          = ( paraco1344940915le_Det @ ( sK1_SY75 @ SV17 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[586]) ).

thf(628,plain,
    ! [SV45: paraco1604210848lle_fm,SV37: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
         != ( paraco1325918602e_eval @ SV18 @ SV45 ) )
        | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
          = ( paraco1325918602e_eval @ SV18 @ SV37 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[587]) ).

thf(629,plain,
    ! [SV45: paraco1604210848lle_fm,SV37: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
             != ( paraco1325918602e_eval @ SV18 @ SV45 ) ) )
        | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
                 != ( paraco1344940915le_Det @ $true ) )
                | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                  = ( paraco1325918602e_eval @ SV18 @ SV45 ) ) )
            | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
                     != ( paraco1344940915le_Det @ $true ) ) )
                | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
                         != ( paraco1344940915le_Det @ $true ) )
                        | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                          = ( paraco1325918602e_eval @ SV18 @ SV37 ) ) )
                    | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
                             != ( paraco1344940915le_Det @ $true ) ) )
                        | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                          = ( paraco1344940915le_Det @ $false ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[588]) ).

thf(630,plain,
    ! [SV38: paraco1605129243lle_tv,SV19: paraco1605129243lle_tv > $o] :
      ( ( ( SV19 @ ( paraco1344940915le_Det @ $false ) )
        = $false )
      | ( ( ~ ! [SY80: nat] : ( SV19 @ ( paraco793048302_Indet @ SY80 ) )
          | ( SV19 @ SV38 ) )
        = $true )
      | ( ( SV19 @ ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[589]) ).

thf(631,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ( ( paraco1344940915le_Det @ SV1 )
           != ( paraco1344940915le_Det @ SV20 ) )
          | ( SV1 != SV20 ) )
        = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ SV20 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[590]) ).

thf(632,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ~ ( SV1
              | SV20 )
          | ~ ( ~ SV1
              | ~ SV20 ) )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ SV20 ) )
              | ( SV1 != SV20 ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[591]) ).

thf(633,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( SV1 = SV20 )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ SV20 ) )
              | ( SV1 != SV20 ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[591]) ).

thf(634,plain,
    ! [SV1: $o] :
      ( ( ( ( ( paraco1344940915le_Det @ SV1 )
           != ( paraco1344940915le_Det @ $true ) )
          | ( SV1 != $true ) )
        = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[592]) ).

thf(635,plain,
    ! [SV1: $o] :
      ( ( ( ~ ( SV1
              | $true )
          | ~ ( ~ SV1
              | ~ $true ) )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ $true ) )
              | ( SV1 != $true ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[593]) ).

thf(636,plain,
    ! [SV1: $o] :
      ( ( ( SV1 = $true )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ $true ) )
              | ( SV1 != $true ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[593]) ).

thf(637,plain,
    ! [SV1: $o] :
      ( ( ( ( ( paraco1344940915le_Det @ SV1 )
           != ( paraco1344940915le_Det @ $false ) )
          | ( SV1 != $false ) )
        = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $false ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[594]) ).

thf(638,plain,
    ! [SV1: $o] :
      ( ( ( ~ ( SV1
              | $false )
          | ~ ( ~ SV1
              | ~ $false ) )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ $false ) )
              | ( SV1 != $false ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[595]) ).

thf(639,plain,
    ! [SV1: $o] :
      ( ( ( SV1 = $false )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ $false ) )
              | ( SV1 != $false ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[595]) ).

thf(640,plain,
    ! [SV21: $o] :
      ( ( ( ( ( paraco1344940915le_Det @ $true )
           != ( paraco1344940915le_Det @ SV21 ) )
          | ( $true != SV21 ) )
        = $false )
      | ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1344940915le_Det @ SV21 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[596]) ).

thf(641,plain,
    ! [SV21: $o] :
      ( ( ( ~ ( $true
              | SV21 )
          | ~ ( ~ $true
              | ~ SV21 ) )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
               != ( paraco1344940915le_Det @ SV21 ) )
              | ( $true != SV21 ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[597]) ).

thf(642,plain,
    ! [SV21: $o] :
      ( ( ( $true = SV21 )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
               != ( paraco1344940915le_Det @ SV21 ) )
              | ( $true != SV21 ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[597]) ).

thf(643,plain,
    ( ( ( ( ( paraco1344940915le_Det @ $true )
         != ( paraco1344940915le_Det @ $true ) )
        | ( $true != $true ) )
      = $false )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[598]) ).

thf(644,plain,
    ( ( ( ~ ( $true
            | $true )
        | ~ ( ~ $true
            | ~ $true ) )
      = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
             != ( paraco1344940915le_Det @ $true ) )
            | ( $true != $true ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[599]) ).

thf(645,plain,
    ( ( ( $true = $true )
      = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
             != ( paraco1344940915le_Det @ $true ) )
            | ( $true != $true ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[599]) ).

thf(646,plain,
    ( ( ( ( ( paraco1344940915le_Det @ $true )
         != ( paraco1344940915le_Det @ $false ) )
        | ( $true != $false ) )
      = $false )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[600]) ).

thf(647,plain,
    ( ( ( ~ ( $true
            | $false )
        | ~ ( ~ $true
            | ~ $false ) )
      = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
             != ( paraco1344940915le_Det @ $false ) )
            | ( $true != $false ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[601]) ).

thf(648,plain,
    ( ( ( $true = $false )
      = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
             != ( paraco1344940915le_Det @ $false ) )
            | ( $true != $false ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[601]) ).

thf(649,plain,
    ! [SV22: $o] :
      ( ( ( ( ( paraco1344940915le_Det @ $false )
           != ( paraco1344940915le_Det @ SV22 ) )
          | ( $false != SV22 ) )
        = $false )
      | ( ( ( paraco1344940915le_Det @ $false )
          = ( paraco1344940915le_Det @ SV22 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[602]) ).

thf(650,plain,
    ! [SV22: $o] :
      ( ( ( ~ ( $false
              | SV22 )
          | ~ ( ~ $false
              | ~ SV22 ) )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
               != ( paraco1344940915le_Det @ SV22 ) )
              | ( $false != SV22 ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[603]) ).

thf(651,plain,
    ! [SV22: $o] :
      ( ( ( $false = SV22 )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
               != ( paraco1344940915le_Det @ SV22 ) )
              | ( $false != SV22 ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[603]) ).

thf(652,plain,
    ( ( ( ( ( paraco1344940915le_Det @ $false )
         != ( paraco1344940915le_Det @ $true ) )
        | ( $false != $true ) )
      = $false )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[604]) ).

thf(653,plain,
    ( ( ( ~ ( $false
            | $true )
        | ~ ( ~ $false
            | ~ $true ) )
      = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
             != ( paraco1344940915le_Det @ $true ) )
            | ( $false != $true ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[605]) ).

thf(654,plain,
    ( ( ( $false = $true )
      = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
             != ( paraco1344940915le_Det @ $true ) )
            | ( $false != $true ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[605]) ).

thf(655,plain,
    ( ( ( ( ( paraco1344940915le_Det @ $false )
         != ( paraco1344940915le_Det @ $false ) )
        | ( $false != $false ) )
      = $false )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[606]) ).

thf(656,plain,
    ( ( ( ~ ( $false
            | $false )
        | ~ ( ~ $false
            | ~ $false ) )
      = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
             != ( paraco1344940915le_Det @ $false ) )
            | ( $false != $false ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[607]) ).

thf(657,plain,
    ( ( ( $false = $false )
      = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
             != ( paraco1344940915le_Det @ $false ) )
            | ( $false != $false ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[607]) ).

thf(658,plain,
    ! [SV25: paraco1604210848lle_fm] :
      ( ( ( ~ ( paraco327635598_valid @ SV25 )
          | ~ ! [SY83: list_char > paraco1605129243lle_tv] :
                ( ( paraco1325918602e_eval @ SY83 @ SV25 )
                = ( paraco1344940915le_Det @ $true ) ) )
        = $false )
      | ( ( paraco327635598_valid @ SV25 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[609]) ).

thf(659,plain,
    ! [SV25: paraco1604210848lle_fm] :
      ( ( ( ( paraco1325918602e_eval @ ( sK4_SY83 @ SV25 ) @ SV25 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false )
      | ( ( ~ ( ~ ( paraco327635598_valid @ SV25 )
              | ~ ! [SY83: list_char > paraco1605129243lle_tv] :
                    ( ( paraco1325918602e_eval @ SY83 @ SV25 )
                    = ( paraco1344940915le_Det @ $true ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[610]) ).

thf(660,plain,
    ! [SV10: $o] :
      ( ( ( ~ SV10
          | ~ $true )
        = $false )
      | ( SV10 = $false )
      | ( ( SV10 = $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[611]) ).

thf(661,plain,
    ! [SV10: $o] :
      ( ( ( ~ SV10
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV10 = $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[612]) ).

thf(662,plain,
    ! [SV10: $o] :
      ( ( SV10 = $false )
      | ( ( ~ ( ~ SV10
              | ~ $false ) )
        = $true )
      | ( ( SV10 = $true )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[613]) ).

thf(663,plain,
    ! [SV10: $o] :
      ( ( $false = $false )
      | ( ( ~ ( ~ SV10
              | ~ $false ) )
        = $true )
      | ( ( SV10 = $true )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[613]) ).

thf(664,plain,
    ( ( ( ~ $true
        | ~ $true )
      = $false )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[614]) ).

thf(665,plain,
    ( ( ( ~ $true
        | ~ $true )
      = $false )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[615]) ).

thf(666,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[616]) ).

thf(667,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[616]) ).

thf(668,plain,
    ( ( ( ~ $false
        | ~ $true )
      = $false )
    | ( $false = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[617]) ).

thf(669,plain,
    ( ( ( ~ $false
        | ~ $true )
      = $false )
    | ( $true = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[618]) ).

thf(670,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[619]) ).

thf(671,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[619]) ).

thf(672,plain,
    ! [SV30: paraco1605129243lle_tv,SV11: paraco1605129243lle_tv > $o] :
      ( ( ( ! [SY63: nat] : ( SV11 @ ( paraco793048302_Indet @ SY63 ) ) )
        = $false )
      | ( ( SV11 @ SV30 )
        = $true )
      | ( ( SV11 @ ( paraco1344940915le_Det @ ( sK2_SY62 @ SV30 @ SV11 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[620]) ).

thf(673,plain,
    ! [SV12: paraco1605129243lle_tv] :
      ( ( ( SV12
          = ( paraco1344940915le_Det @ $false ) )
        = $true )
      | ( ( ~ ! [SY64: nat] :
                ( SV12
               != ( paraco793048302_Indet @ SY64 ) ) )
        = $true )
      | ( ( SV12
          = ( paraco1344940915le_Det @ $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[621]) ).

thf(674,plain,
    ! [SV31: paraco1604210848lle_fm,SV13: list_char > paraco1605129243lle_tv] :
      ( ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
          = ( paraco1344940915le_Det @ $false ) )
        = $false )
      | ( ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SV31 ) )
          = ( paraco1344940915le_Det @ $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[622]) ).

thf(675,plain,
    ! [SV31: paraco1604210848lle_fm,SV13: list_char > paraco1605129243lle_tv] :
      ( ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
         != ( paraco1344940915le_Det @ $false ) )
        = $false )
      | ( ( ~ ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
                   != ( paraco1344940915le_Det @ $true ) )
                  | ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SV31 ) )
                    = ( paraco1344940915le_Det @ $false ) ) )
              | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
                       != ( paraco1344940915le_Det @ $true ) ) )
                  | ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SV31 ) )
                    = ( paraco1325918602e_eval @ SV13 @ SV31 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[623]) ).

thf(676,plain,
    ! [SV43: paraco1604210848lle_fm,SV32: paraco1604210848lle_fm,SV14: list_char > paraco1605129243lle_tv] :
      ( ( ( ( paraco1325918602e_eval @ SV14 @ SV32 )
         != ( paraco1325918602e_eval @ SV14 @ SV43 ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV14 @ ( paraco1389086619le_Eql @ SV32 @ SV43 ) )
          = ( paraco1344940915le_Det @ $true ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[624]) ).

thf(677,plain,
    ! [SV43: paraco1604210848lle_fm,SV32: paraco1604210848lle_fm,SV14: list_char > paraco1605129243lle_tv] :
      ( ( ( ~ ( ( ( paraco1325918602e_eval @ SV14 @ SV32 )
               != ( paraco1325918602e_eval @ SV14 @ SV43 ) ) ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV14 @ ( paraco1389086619le_Eql @ SV32 @ SV43 ) )
          = ( paraco1344940915le_Det @ $false ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[625]) ).

thf(678,plain,
    ! [SV36: nat > nat,SV44: paraco1605129243lle_tv,SV16: ( nat > nat ) > paraco1605129243lle_tv > $o] :
      ( ( ( SV16 @ ( sK3_SY71 @ SV44 @ SV36 @ SV16 ) @ ( paraco1344940915le_Det @ ( sK5_SY103 @ SV36 @ SV44 @ SV16 ) ) )
        = $false )
      | ( ( ~ ! [SY73: nat > nat,SY74: nat] : ( SV16 @ SY73 @ ( paraco793048302_Indet @ SY74 ) )
          | ( SV16 @ SV36 @ SV44 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[626]) ).

thf(679,plain,
    ! [SV17: paraco1605129243lle_tv] :
      ( ( ( SV17
         != ( paraco793048302_Indet @ ( sK6_SY76 @ SV17 ) ) )
        = $false )
      | ( ( SV17
          = ( paraco1344940915le_Det @ ( sK1_SY75 @ SV17 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[627]) ).

thf(680,plain,
    ! [SV45: paraco1604210848lle_fm,SV37: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
         != ( paraco1325918602e_eval @ SV18 @ SV45 ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
          = ( paraco1325918602e_eval @ SV18 @ SV37 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[628]) ).

thf(681,plain,
    ! [SV45: paraco1604210848lle_fm,SV37: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
               != ( paraco1325918602e_eval @ SV18 @ SV45 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
                   != ( paraco1344940915le_Det @ $true ) )
                  | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                    = ( paraco1325918602e_eval @ SV18 @ SV45 ) ) )
              | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
                       != ( paraco1344940915le_Det @ $true ) ) )
                  | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
                           != ( paraco1344940915le_Det @ $true ) )
                          | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                            = ( paraco1325918602e_eval @ SV18 @ SV37 ) ) )
                      | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
                               != ( paraco1344940915le_Det @ $true ) ) )
                          | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                            = ( paraco1344940915le_Det @ $false ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[629]) ).

thf(682,plain,
    ! [SV38: paraco1605129243lle_tv,SV19: paraco1605129243lle_tv > $o] :
      ( ( ( ~ ! [SY80: nat] : ( SV19 @ ( paraco793048302_Indet @ SY80 ) ) )
        = $true )
      | ( ( SV19 @ SV38 )
        = $true )
      | ( ( SV19 @ ( paraco1344940915le_Det @ $false ) )
        = $false )
      | ( ( SV19 @ ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[630]) ).

thf(683,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
         != ( paraco1344940915le_Det @ SV20 ) )
        = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ SV20 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[631]) ).

thf(684,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( SV1 != SV20 )
        = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ SV20 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[631]) ).

thf(685,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ~ ( SV1
              | SV20 ) )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ SV20 ) )
              | ( SV1 != SV20 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[632]) ).

thf(686,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ~ ( ~ SV1
              | ~ SV20 ) )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ SV20 ) )
              | ( SV1 != SV20 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[632]) ).

thf(687,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ( ( paraco1344940915le_Det @ SV1 )
           != ( paraco1344940915le_Det @ SV20 ) )
          | ( SV1 != SV20 ) )
        = $false )
      | ( ( SV1 = SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[633]) ).

thf(688,plain,
    ! [SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
         != ( paraco1344940915le_Det @ $true ) )
        = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[634]) ).

thf(689,plain,
    ! [SV1: $o] :
      ( ( ( SV1 != $true )
        = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[634]) ).

thf(690,plain,
    ! [SV1: $o] :
      ( ( ( ~ ( SV1
              | $true ) )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ $true ) )
              | ( SV1 != $true ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[635]) ).

thf(691,plain,
    ! [SV1: $o] :
      ( ( ( ~ ( ~ SV1
              | ~ $true ) )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ $true ) )
              | ( SV1 != $true ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[635]) ).

thf(692,plain,
    ! [SV1: $o] :
      ( ( ( ( ( paraco1344940915le_Det @ SV1 )
           != ( paraco1344940915le_Det @ $true ) )
          | ( SV1 != $true ) )
        = $false )
      | ( ( SV1 = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[636]) ).

thf(693,plain,
    ! [SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
         != ( paraco1344940915le_Det @ $false ) )
        = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $false ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[637]) ).

thf(694,plain,
    ! [SV1: $o] :
      ( ( ( SV1 != $false )
        = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $false ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[637]) ).

thf(695,plain,
    ! [SV1: $o] :
      ( ( ( ~ ( SV1
              | $false ) )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ $false ) )
              | ( SV1 != $false ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[638]) ).

thf(696,plain,
    ! [SV1: $o] :
      ( ( ( ~ ( ~ SV1
              | ~ $false ) )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ $false ) )
              | ( SV1 != $false ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[638]) ).

thf(697,plain,
    ! [SV1: $o] :
      ( ( ( ( ( paraco1344940915le_Det @ SV1 )
           != ( paraco1344940915le_Det @ $false ) )
          | ( SV1 != $false ) )
        = $false )
      | ( ( SV1 = $false )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[639]) ).

thf(698,plain,
    ! [SV21: $o] :
      ( ( ( ( paraco1344940915le_Det @ $true )
         != ( paraco1344940915le_Det @ SV21 ) )
        = $false )
      | ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1344940915le_Det @ SV21 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[640]) ).

thf(699,plain,
    ! [SV21: $o] :
      ( ( ( $true != SV21 )
        = $false )
      | ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1344940915le_Det @ SV21 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[640]) ).

thf(700,plain,
    ! [SV21: $o] :
      ( ( ( ~ ( $true
              | SV21 ) )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
               != ( paraco1344940915le_Det @ SV21 ) )
              | ( $true != SV21 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[641]) ).

thf(701,plain,
    ! [SV21: $o] :
      ( ( ( ~ ( ~ $true
              | ~ SV21 ) )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
               != ( paraco1344940915le_Det @ SV21 ) )
              | ( $true != SV21 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[641]) ).

thf(702,plain,
    ! [SV21: $o] :
      ( ( ( ( ( paraco1344940915le_Det @ $true )
           != ( paraco1344940915le_Det @ SV21 ) )
          | ( $true != SV21 ) )
        = $false )
      | ( ( $true = SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[642]) ).

thf(703,plain,
    ( ( ( ( paraco1344940915le_Det @ $true )
       != ( paraco1344940915le_Det @ $true ) )
      = $false )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[643]) ).

thf(704,plain,
    ( ( ( $true != $true )
      = $false )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[643]) ).

thf(705,plain,
    ( ( ( ~ ( $true
            | $true ) )
      = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
             != ( paraco1344940915le_Det @ $true ) )
            | ( $true != $true ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[644]) ).

thf(706,plain,
    ( ( ( ~ ( ~ $true
            | ~ $true ) )
      = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
             != ( paraco1344940915le_Det @ $true ) )
            | ( $true != $true ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[644]) ).

thf(707,plain,
    ( ( ( ( ( paraco1344940915le_Det @ $true )
         != ( paraco1344940915le_Det @ $true ) )
        | ( $true != $true ) )
      = $false )
    | ( ( $true = $true )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[645]) ).

thf(708,plain,
    ( ( ( ( paraco1344940915le_Det @ $true )
       != ( paraco1344940915le_Det @ $false ) )
      = $false )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[646]) ).

thf(709,plain,
    ( ( ( $true != $false )
      = $false )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[646]) ).

thf(710,plain,
    ( ( ( ~ ( $true
            | $false ) )
      = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
             != ( paraco1344940915le_Det @ $false ) )
            | ( $true != $false ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[647]) ).

thf(711,plain,
    ( ( ( ~ ( ~ $true
            | ~ $false ) )
      = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
             != ( paraco1344940915le_Det @ $false ) )
            | ( $true != $false ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[647]) ).

thf(712,plain,
    ( ( ( ( ( paraco1344940915le_Det @ $true )
         != ( paraco1344940915le_Det @ $false ) )
        | ( $true != $false ) )
      = $false )
    | ( ( $true = $false )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[648]) ).

thf(713,plain,
    ! [SV22: $o] :
      ( ( ( ( paraco1344940915le_Det @ $false )
         != ( paraco1344940915le_Det @ SV22 ) )
        = $false )
      | ( ( ( paraco1344940915le_Det @ $false )
          = ( paraco1344940915le_Det @ SV22 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[649]) ).

thf(714,plain,
    ! [SV22: $o] :
      ( ( ( $false != SV22 )
        = $false )
      | ( ( ( paraco1344940915le_Det @ $false )
          = ( paraco1344940915le_Det @ SV22 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[649]) ).

thf(715,plain,
    ! [SV22: $o] :
      ( ( ( ~ ( $false
              | SV22 ) )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
               != ( paraco1344940915le_Det @ SV22 ) )
              | ( $false != SV22 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[650]) ).

thf(716,plain,
    ! [SV22: $o] :
      ( ( ( ~ ( ~ $false
              | ~ SV22 ) )
        = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
               != ( paraco1344940915le_Det @ SV22 ) )
              | ( $false != SV22 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[650]) ).

thf(717,plain,
    ! [SV22: $o] :
      ( ( ( ( ( paraco1344940915le_Det @ $false )
           != ( paraco1344940915le_Det @ SV22 ) )
          | ( $false != SV22 ) )
        = $false )
      | ( ( $false = SV22 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[651]) ).

thf(718,plain,
    ( ( ( ( paraco1344940915le_Det @ $false )
       != ( paraco1344940915le_Det @ $true ) )
      = $false )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[652]) ).

thf(719,plain,
    ( ( ( $false != $true )
      = $false )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[652]) ).

thf(720,plain,
    ( ( ( ~ ( $false
            | $true ) )
      = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
             != ( paraco1344940915le_Det @ $true ) )
            | ( $false != $true ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[653]) ).

thf(721,plain,
    ( ( ( ~ ( ~ $false
            | ~ $true ) )
      = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
             != ( paraco1344940915le_Det @ $true ) )
            | ( $false != $true ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[653]) ).

thf(722,plain,
    ( ( ( ( ( paraco1344940915le_Det @ $false )
         != ( paraco1344940915le_Det @ $true ) )
        | ( $false != $true ) )
      = $false )
    | ( ( $false = $true )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[654]) ).

thf(723,plain,
    ( ( ( ( paraco1344940915le_Det @ $false )
       != ( paraco1344940915le_Det @ $false ) )
      = $false )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[655]) ).

thf(724,plain,
    ( ( ( $false != $false )
      = $false )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[655]) ).

thf(725,plain,
    ( ( ( ~ ( $false
            | $false ) )
      = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
             != ( paraco1344940915le_Det @ $false ) )
            | ( $false != $false ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[656]) ).

thf(726,plain,
    ( ( ( ~ ( ~ $false
            | ~ $false ) )
      = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
             != ( paraco1344940915le_Det @ $false ) )
            | ( $false != $false ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[656]) ).

thf(727,plain,
    ( ( ( ( ( paraco1344940915le_Det @ $false )
         != ( paraco1344940915le_Det @ $false ) )
        | ( $false != $false ) )
      = $false )
    | ( ( $false = $false )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[657]) ).

thf(728,plain,
    ! [SV25: paraco1604210848lle_fm] :
      ( ( ( ~ ( paraco327635598_valid @ SV25 ) )
        = $false )
      | ( ( paraco327635598_valid @ SV25 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[658]) ).

thf(729,plain,
    ! [SV25: paraco1604210848lle_fm] :
      ( ( ( ~ ! [SY83: list_char > paraco1605129243lle_tv] :
                ( ( paraco1325918602e_eval @ SY83 @ SV25 )
                = ( paraco1344940915le_Det @ $true ) ) )
        = $false )
      | ( ( paraco327635598_valid @ SV25 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[658]) ).

thf(730,plain,
    ! [SV25: paraco1604210848lle_fm] :
      ( ( ( ~ ( paraco327635598_valid @ SV25 )
          | ~ ! [SY83: list_char > paraco1605129243lle_tv] :
                ( ( paraco1325918602e_eval @ SY83 @ SV25 )
                = ( paraco1344940915le_Det @ $true ) ) )
        = $false )
      | ( ( ( paraco1325918602e_eval @ ( sK4_SY83 @ SV25 ) @ SV25 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[659]) ).

thf(731,plain,
    ! [SV10: $o] :
      ( ( ( ~ SV10 ) = $false )
      | ( SV10 = $false )
      | ( ( SV10 = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[660]) ).

thf(732,plain,
    ! [SV10: $o] :
      ( ( ( ~ $true ) = $false )
      | ( SV10 = $false )
      | ( ( SV10 = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[660]) ).

thf(733,plain,
    ! [SV10: $o] :
      ( ( ( ~ SV10 ) = $false )
      | ( $true = $false )
      | ( ( SV10 = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[661]) ).

thf(734,plain,
    ! [SV10: $o] :
      ( ( ( ~ $true ) = $false )
      | ( $true = $false )
      | ( ( SV10 = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[661]) ).

thf(735,plain,
    ! [SV10: $o] :
      ( ( ( ~ SV10
          | ~ $false )
        = $false )
      | ( SV10 = $false )
      | ( ( SV10 = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[662]) ).

thf(736,plain,
    ! [SV10: $o] :
      ( ( ( ~ SV10
          | ~ $false )
        = $false )
      | ( $false = $false )
      | ( ( SV10 = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[663]) ).

thf(737,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[664]) ).

thf(738,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[664]) ).

thf(739,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[665]) ).

thf(740,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[665]) ).

thf(741,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $true = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[666]) ).

thf(742,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[667]) ).

thf(743,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[668]) ).

thf(744,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[668]) ).

thf(745,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[669]) ).

thf(746,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[669]) ).

thf(747,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[670]) ).

thf(748,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[671]) ).

thf(749,plain,
    ! [SV30: paraco1605129243lle_tv,SV11: paraco1605129243lle_tv > $o] :
      ( ( ( SV11 @ ( paraco793048302_Indet @ ( sK7_SY63 @ SV30 @ SV11 ) ) )
        = $false )
      | ( ( SV11 @ SV30 )
        = $true )
      | ( ( SV11 @ ( paraco1344940915le_Det @ ( sK2_SY62 @ SV30 @ SV11 ) ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[672]) ).

thf(750,plain,
    ! [SV12: paraco1605129243lle_tv] :
      ( ( ( ! [SY64: nat] :
              ( SV12
             != ( paraco793048302_Indet @ SY64 ) ) )
        = $false )
      | ( ( SV12
          = ( paraco1344940915le_Det @ $false ) )
        = $true )
      | ( ( SV12
          = ( paraco1344940915le_Det @ $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[673]) ).

thf(751,plain,
    ! [SV31: paraco1604210848lle_fm,SV13: list_char > paraco1605129243lle_tv] :
      ( ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
          = ( paraco1344940915le_Det @ $false ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
                   != ( paraco1344940915le_Det @ $true ) )
                  | ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SV31 ) )
                    = ( paraco1344940915le_Det @ $false ) ) )
              | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
                       != ( paraco1344940915le_Det @ $true ) ) )
                  | ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SV31 ) )
                    = ( paraco1325918602e_eval @ SV13 @ SV31 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[675]) ).

thf(752,plain,
    ! [SV43: paraco1604210848lle_fm,SV32: paraco1604210848lle_fm,SV14: list_char > paraco1605129243lle_tv] :
      ( ( ( ( paraco1325918602e_eval @ SV14 @ SV32 )
          = ( paraco1325918602e_eval @ SV14 @ SV43 ) )
        = $false )
      | ( ( ( paraco1325918602e_eval @ SV14 @ ( paraco1389086619le_Eql @ SV32 @ SV43 ) )
          = ( paraco1344940915le_Det @ $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[676]) ).

thf(753,plain,
    ! [SV43: paraco1604210848lle_fm,SV32: paraco1604210848lle_fm,SV14: list_char > paraco1605129243lle_tv] :
      ( ( ( ( paraco1325918602e_eval @ SV14 @ SV32 )
         != ( paraco1325918602e_eval @ SV14 @ SV43 ) )
        = $false )
      | ( ( ( paraco1325918602e_eval @ SV14 @ ( paraco1389086619le_Eql @ SV32 @ SV43 ) )
          = ( paraco1344940915le_Det @ $false ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[677]) ).

thf(754,plain,
    ! [SV44: paraco1605129243lle_tv,SV36: nat > nat,SV16: ( nat > nat ) > paraco1605129243lle_tv > $o] :
      ( ( ( ~ ! [SY73: nat > nat,SY74: nat] : ( SV16 @ SY73 @ ( paraco793048302_Indet @ SY74 ) ) )
        = $true )
      | ( ( SV16 @ SV36 @ SV44 )
        = $true )
      | ( ( SV16 @ ( sK3_SY71 @ SV44 @ SV36 @ SV16 ) @ ( paraco1344940915le_Det @ ( sK5_SY103 @ SV36 @ SV44 @ SV16 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[678]) ).

thf(755,plain,
    ! [SV17: paraco1605129243lle_tv] :
      ( ( ( SV17
          = ( paraco793048302_Indet @ ( sK6_SY76 @ SV17 ) ) )
        = $true )
      | ( ( SV17
          = ( paraco1344940915le_Det @ ( sK1_SY75 @ SV17 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[679]) ).

thf(756,plain,
    ! [SV45: paraco1604210848lle_fm,SV37: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1325918602e_eval @ SV18 @ SV45 ) )
        = $false )
      | ( ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
          = ( paraco1325918602e_eval @ SV18 @ SV37 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[680]) ).

thf(757,plain,
    ! [SV45: paraco1604210848lle_fm,SV37: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
         != ( paraco1325918602e_eval @ SV18 @ SV45 ) )
        = $false )
      | ( ( ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
                   != ( paraco1344940915le_Det @ $true ) )
                  | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                    = ( paraco1325918602e_eval @ SV18 @ SV45 ) ) )
              | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
                       != ( paraco1344940915le_Det @ $true ) ) )
                  | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
                           != ( paraco1344940915le_Det @ $true ) )
                          | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                            = ( paraco1325918602e_eval @ SV18 @ SV37 ) ) )
                      | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
                               != ( paraco1344940915le_Det @ $true ) ) )
                          | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                            = ( paraco1344940915le_Det @ $false ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[681]) ).

thf(758,plain,
    ! [SV38: paraco1605129243lle_tv,SV19: paraco1605129243lle_tv > $o] :
      ( ( ( ! [SY80: nat] : ( SV19 @ ( paraco793048302_Indet @ SY80 ) ) )
        = $false )
      | ( ( SV19 @ SV38 )
        = $true )
      | ( ( SV19 @ ( paraco1344940915le_Det @ $false ) )
        = $false )
      | ( ( SV19 @ ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[682]) ).

thf(759,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ SV20 ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ SV20 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[683]) ).

thf(760,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( SV1 = SV20 )
        = $true )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ SV20 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[684]) ).

thf(761,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( SV1
          | SV20 )
        = $true )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ SV20 ) )
              | ( SV1 != SV20 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[685]) ).

thf(762,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ~ SV1
          | ~ SV20 )
        = $true )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ SV20 ) )
              | ( SV1 != SV20 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[686]) ).

thf(763,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
         != ( paraco1344940915le_Det @ SV20 ) )
        = $false )
      | ( ( SV1 = SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[687]) ).

thf(764,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( SV1 != SV20 )
        = $false )
      | ( ( SV1 = SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[687]) ).

thf(765,plain,
    ! [SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $true ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[688]) ).

thf(766,plain,
    ! [SV1: $o] :
      ( ( ( SV1 = $true )
        = $true )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[689]) ).

thf(767,plain,
    ! [SV1: $o] :
      ( ( ( SV1
          | $true )
        = $true )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ $true ) )
              | ( SV1 != $true ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[690]) ).

thf(768,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1
          | ~ $true )
        = $true )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ $true ) )
              | ( SV1 != $true ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[691]) ).

thf(769,plain,
    ! [SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
         != ( paraco1344940915le_Det @ $true ) )
        = $false )
      | ( ( SV1 = $true )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[692]) ).

thf(770,plain,
    ! [SV1: $o] :
      ( ( ( SV1 != $true )
        = $false )
      | ( ( SV1 = $true )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[692]) ).

thf(771,plain,
    ! [SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $false ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $false ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[693]) ).

thf(772,plain,
    ! [SV1: $o] :
      ( ( ( SV1 = $false )
        = $true )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $false ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[694]) ).

thf(773,plain,
    ! [SV1: $o] :
      ( ( ( SV1
          | $false )
        = $true )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ $false ) )
              | ( SV1 != $false ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[695]) ).

thf(774,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1
          | ~ $false )
        = $true )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ $false ) )
              | ( SV1 != $false ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[696]) ).

thf(775,plain,
    ! [SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
         != ( paraco1344940915le_Det @ $false ) )
        = $false )
      | ( ( SV1 = $false )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[697]) ).

thf(776,plain,
    ! [SV1: $o] :
      ( ( ( SV1 != $false )
        = $false )
      | ( ( SV1 = $false )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[697]) ).

thf(777,plain,
    ! [SV21: $o] :
      ( ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1344940915le_Det @ SV21 ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1344940915le_Det @ SV21 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[698]) ).

thf(778,plain,
    ! [SV21: $o] :
      ( ( ( $true = SV21 )
        = $true )
      | ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1344940915le_Det @ SV21 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[699]) ).

thf(779,plain,
    ! [SV21: $o] :
      ( ( ( $true
          | SV21 )
        = $true )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
               != ( paraco1344940915le_Det @ SV21 ) )
              | ( $true != SV21 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[700]) ).

thf(780,plain,
    ! [SV21: $o] :
      ( ( ( ~ $true
          | ~ SV21 )
        = $true )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
               != ( paraco1344940915le_Det @ SV21 ) )
              | ( $true != SV21 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[701]) ).

thf(781,plain,
    ! [SV21: $o] :
      ( ( ( ( paraco1344940915le_Det @ $true )
         != ( paraco1344940915le_Det @ SV21 ) )
        = $false )
      | ( ( $true = SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[702]) ).

thf(782,plain,
    ! [SV21: $o] :
      ( ( ( $true != SV21 )
        = $false )
      | ( ( $true = SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[702]) ).

thf(783,plain,
    ( ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $true ) )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[703]) ).

thf(784,plain,
    ( ( ( $true = $true )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[704]) ).

thf(785,plain,
    ( ( ( $true
        | $true )
      = $true )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
             != ( paraco1344940915le_Det @ $true ) )
            | ( $true != $true ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[705]) ).

thf(786,plain,
    ( ( ( ~ $true
        | ~ $true )
      = $true )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
             != ( paraco1344940915le_Det @ $true ) )
            | ( $true != $true ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[706]) ).

thf(787,plain,
    ( ( ( ( paraco1344940915le_Det @ $true )
       != ( paraco1344940915le_Det @ $true ) )
      = $false )
    | ( ( $true = $true )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[707]) ).

thf(788,plain,
    ( ( ( $true != $true )
      = $false )
    | ( ( $true = $true )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[707]) ).

thf(789,plain,
    ( ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $false ) )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[708]) ).

thf(790,plain,
    ( ( ( $true = $false )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[709]) ).

thf(791,plain,
    ( ( ( $true
        | $false )
      = $true )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
             != ( paraco1344940915le_Det @ $false ) )
            | ( $true != $false ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[710]) ).

thf(792,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $true )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
             != ( paraco1344940915le_Det @ $false ) )
            | ( $true != $false ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[711]) ).

thf(793,plain,
    ( ( ( ( paraco1344940915le_Det @ $true )
       != ( paraco1344940915le_Det @ $false ) )
      = $false )
    | ( ( $true = $false )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[712]) ).

thf(794,plain,
    ( ( ( $true != $false )
      = $false )
    | ( ( $true = $false )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[712]) ).

thf(795,plain,
    ! [SV22: $o] :
      ( ( ( ( paraco1344940915le_Det @ $false )
          = ( paraco1344940915le_Det @ SV22 ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ $false )
          = ( paraco1344940915le_Det @ SV22 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[713]) ).

thf(796,plain,
    ! [SV22: $o] :
      ( ( ( $false = SV22 )
        = $true )
      | ( ( ( paraco1344940915le_Det @ $false )
          = ( paraco1344940915le_Det @ SV22 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[714]) ).

thf(797,plain,
    ! [SV22: $o] :
      ( ( ( $false
          | SV22 )
        = $true )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
               != ( paraco1344940915le_Det @ SV22 ) )
              | ( $false != SV22 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[715]) ).

thf(798,plain,
    ! [SV22: $o] :
      ( ( ( ~ $false
          | ~ SV22 )
        = $true )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
               != ( paraco1344940915le_Det @ SV22 ) )
              | ( $false != SV22 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[716]) ).

thf(799,plain,
    ! [SV22: $o] :
      ( ( ( ( paraco1344940915le_Det @ $false )
         != ( paraco1344940915le_Det @ SV22 ) )
        = $false )
      | ( ( $false = SV22 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[717]) ).

thf(800,plain,
    ! [SV22: $o] :
      ( ( ( $false != SV22 )
        = $false )
      | ( ( $false = SV22 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[717]) ).

thf(801,plain,
    ( ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $true ) )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[718]) ).

thf(802,plain,
    ( ( ( $false = $true )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[719]) ).

thf(803,plain,
    ( ( ( $false
        | $true )
      = $true )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
             != ( paraco1344940915le_Det @ $true ) )
            | ( $false != $true ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[720]) ).

thf(804,plain,
    ( ( ( ~ $false
        | ~ $true )
      = $true )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
             != ( paraco1344940915le_Det @ $true ) )
            | ( $false != $true ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[721]) ).

thf(805,plain,
    ( ( ( ( paraco1344940915le_Det @ $false )
       != ( paraco1344940915le_Det @ $true ) )
      = $false )
    | ( ( $false = $true )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[722]) ).

thf(806,plain,
    ( ( ( $false != $true )
      = $false )
    | ( ( $false = $true )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[722]) ).

thf(807,plain,
    ( ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $false ) )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[723]) ).

thf(808,plain,
    ( ( ( $false = $false )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[724]) ).

thf(809,plain,
    ( ( ( $false
        | $false )
      = $true )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
             != ( paraco1344940915le_Det @ $false ) )
            | ( $false != $false ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[725]) ).

thf(810,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $true )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
             != ( paraco1344940915le_Det @ $false ) )
            | ( $false != $false ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[726]) ).

thf(811,plain,
    ( ( ( ( paraco1344940915le_Det @ $false )
       != ( paraco1344940915le_Det @ $false ) )
      = $false )
    | ( ( $false = $false )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[727]) ).

thf(812,plain,
    ( ( ( $false != $false )
      = $false )
    | ( ( $false = $false )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[727]) ).

thf(813,plain,
    ! [SV25: paraco1604210848lle_fm] :
      ( ( ( paraco327635598_valid @ SV25 )
        = $true )
      | ( ( paraco327635598_valid @ SV25 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[728]) ).

thf(814,plain,
    ! [SV25: paraco1604210848lle_fm] :
      ( ( ( ! [SY83: list_char > paraco1605129243lle_tv] :
              ( ( paraco1325918602e_eval @ SY83 @ SV25 )
              = ( paraco1344940915le_Det @ $true ) ) )
        = $true )
      | ( ( paraco327635598_valid @ SV25 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[729]) ).

thf(815,plain,
    ! [SV25: paraco1604210848lle_fm] :
      ( ( ( ~ ( paraco327635598_valid @ SV25 ) )
        = $false )
      | ( ( ( paraco1325918602e_eval @ ( sK4_SY83 @ SV25 ) @ SV25 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[730]) ).

thf(816,plain,
    ! [SV25: paraco1604210848lle_fm] :
      ( ( ( ~ ! [SY83: list_char > paraco1605129243lle_tv] :
                ( ( paraco1325918602e_eval @ SY83 @ SV25 )
                = ( paraco1344940915le_Det @ $true ) ) )
        = $false )
      | ( ( ( paraco1325918602e_eval @ ( sK4_SY83 @ SV25 ) @ SV25 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[730]) ).

thf(817,plain,
    ! [SV10: $o] :
      ( ( SV10 = $true )
      | ( SV10 = $false )
      | ( ( SV10 = $false )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[731]) ).

thf(818,plain,
    ! [SV10: $o] :
      ( ( $true = $true )
      | ( SV10 = $false )
      | ( ( SV10 = $false )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[732]) ).

thf(819,plain,
    ! [SV10: $o] :
      ( ( SV10 = $true )
      | ( $true = $false )
      | ( ( SV10 = $false )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[733]) ).

thf(820,plain,
    ! [SV10: $o] :
      ( ( $true = $true )
      | ( $true = $false )
      | ( ( SV10 = $false )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[734]) ).

thf(821,plain,
    ! [SV10: $o] :
      ( ( ( ~ SV10 ) = $false )
      | ( SV10 = $false )
      | ( ( SV10 = $true )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[735]) ).

thf(822,plain,
    ! [SV10: $o] :
      ( ( ( ~ $false ) = $false )
      | ( SV10 = $false )
      | ( ( SV10 = $true )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[735]) ).

thf(823,plain,
    ! [SV10: $o] :
      ( ( ( ~ SV10 ) = $false )
      | ( $false = $false )
      | ( ( SV10 = $true )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[736]) ).

thf(824,plain,
    ! [SV10: $o] :
      ( ( ( ~ $false ) = $false )
      | ( $false = $false )
      | ( ( SV10 = $true )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[736]) ).

thf(825,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[737]) ).

thf(826,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[738]) ).

thf(827,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[739]) ).

thf(828,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[740]) ).

thf(829,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[741]) ).

thf(830,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[741]) ).

thf(831,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[742]) ).

thf(832,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[742]) ).

thf(833,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[743]) ).

thf(834,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[744]) ).

thf(835,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[745]) ).

thf(836,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[746]) ).

thf(837,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[747]) ).

thf(838,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[747]) ).

thf(839,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[748]) ).

thf(840,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[748]) ).

thf(841,plain,
    ! [SV12: paraco1605129243lle_tv] :
      ( ( ( SV12
         != ( paraco793048302_Indet @ ( sK8_SY64 @ SV12 ) ) )
        = $false )
      | ( ( SV12
          = ( paraco1344940915le_Det @ $false ) )
        = $true )
      | ( ( SV12
          = ( paraco1344940915le_Det @ $true ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[750]) ).

thf(842,plain,
    ! [SV31: paraco1604210848lle_fm,SV13: list_char > paraco1605129243lle_tv] :
      ( ( ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
               != ( paraco1344940915le_Det @ $true ) )
              | ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SV31 ) )
                = ( paraco1344940915le_Det @ $false ) ) )
          | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
                   != ( paraco1344940915le_Det @ $true ) ) )
              | ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SV31 ) )
                = ( paraco1325918602e_eval @ SV13 @ SV31 ) ) ) )
        = $false )
      | ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
          = ( paraco1344940915le_Det @ $false ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[751]) ).

thf(843,plain,
    ! [SV43: paraco1604210848lle_fm,SV32: paraco1604210848lle_fm,SV14: list_char > paraco1605129243lle_tv] :
      ( ( ( ( paraco1325918602e_eval @ SV14 @ SV32 )
          = ( paraco1325918602e_eval @ SV14 @ SV43 ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV14 @ ( paraco1389086619le_Eql @ SV32 @ SV43 ) )
          = ( paraco1344940915le_Det @ $false ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[753]) ).

thf(844,plain,
    ! [SV44: paraco1605129243lle_tv,SV36: nat > nat,SV16: ( nat > nat ) > paraco1605129243lle_tv > $o] :
      ( ( ( ! [SY73: nat > nat,SY74: nat] : ( SV16 @ SY73 @ ( paraco793048302_Indet @ SY74 ) ) )
        = $false )
      | ( ( SV16 @ SV36 @ SV44 )
        = $true )
      | ( ( SV16 @ ( sK3_SY71 @ SV44 @ SV36 @ SV16 ) @ ( paraco1344940915le_Det @ ( sK5_SY103 @ SV36 @ SV44 @ SV16 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[754]) ).

thf(845,plain,
    ! [SV45: paraco1604210848lle_fm,SV37: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1325918602e_eval @ SV18 @ SV45 ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
                   != ( paraco1344940915le_Det @ $true ) )
                  | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                    = ( paraco1325918602e_eval @ SV18 @ SV45 ) ) )
              | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
                       != ( paraco1344940915le_Det @ $true ) ) )
                  | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
                           != ( paraco1344940915le_Det @ $true ) )
                          | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                            = ( paraco1325918602e_eval @ SV18 @ SV37 ) ) )
                      | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
                               != ( paraco1344940915le_Det @ $true ) ) )
                          | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                            = ( paraco1344940915le_Det @ $false ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[757]) ).

thf(846,plain,
    ! [SV38: paraco1605129243lle_tv,SV19: paraco1605129243lle_tv > $o] :
      ( ( ( SV19 @ ( paraco793048302_Indet @ ( sK9_SY80 @ SV38 @ SV19 ) ) )
        = $false )
      | ( ( SV19 @ SV38 )
        = $true )
      | ( ( SV19 @ ( paraco1344940915le_Det @ $false ) )
        = $false )
      | ( ( SV19 @ ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[758]) ).

thf(847,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ~ ( SV1
              | SV20 )
          | ~ ( ~ SV1
              | ~ SV20 ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ SV20 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[760]) ).

thf(848,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( SV1 = SV20 )
        = $true )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ SV20 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[760]) ).

thf(849,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( SV1 = $true )
      | ( SV20 = $true )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ SV20 ) )
              | ( SV1 != SV20 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[761]) ).

thf(850,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ~ SV1 ) = $true )
      | ( ( ~ SV20 ) = $true )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ SV20 ) )
              | ( SV1 != SV20 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[762]) ).

thf(851,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ SV20 ) )
        = $true )
      | ( ( SV1 = SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[763]) ).

thf(852,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( SV1 = SV20 )
        = $true )
      | ( ( SV1 = SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[764]) ).

thf(853,plain,
    ! [SV1: $o] :
      ( ( ( ~ ( SV1
              | $true )
          | ~ ( ~ SV1
              | ~ $true ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[766]) ).

thf(854,plain,
    ! [SV1: $o] :
      ( ( ( SV1 = $true )
        = $true )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[766]) ).

thf(855,plain,
    ! [SV1: $o] :
      ( ( SV1 = $true )
      | ( $true = $true )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ $true ) )
              | ( SV1 != $true ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[767]) ).

thf(856,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1 ) = $true )
      | ( ( ~ $true ) = $true )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ $true ) )
              | ( SV1 != $true ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[768]) ).

thf(857,plain,
    ! [SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $true ) )
        = $true )
      | ( ( SV1 = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[769]) ).

thf(858,plain,
    ! [SV1: $o] :
      ( ( ( SV1 = $true )
        = $true )
      | ( ( SV1 = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[770]) ).

thf(859,plain,
    ! [SV1: $o] :
      ( ( ( ~ ( SV1
              | $false )
          | ~ ( ~ SV1
              | ~ $false ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $false ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[772]) ).

thf(860,plain,
    ! [SV1: $o] :
      ( ( ( SV1 = $false )
        = $true )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $false ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[772]) ).

thf(861,plain,
    ! [SV1: $o] :
      ( ( SV1 = $true )
      | ( $false = $true )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ $false ) )
              | ( SV1 != $false ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[773]) ).

thf(862,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1 ) = $true )
      | ( ( ~ $false ) = $true )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ $false ) )
              | ( SV1 != $false ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[774]) ).

thf(863,plain,
    ! [SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $false ) )
        = $true )
      | ( ( SV1 = $false )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[775]) ).

thf(864,plain,
    ! [SV1: $o] :
      ( ( ( SV1 = $false )
        = $true )
      | ( ( SV1 = $false )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[776]) ).

thf(865,plain,
    ! [SV21: $o] :
      ( ( ( ~ ( $true
              | SV21 )
          | ~ ( ~ $true
              | ~ SV21 ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1344940915le_Det @ SV21 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[778]) ).

thf(866,plain,
    ! [SV21: $o] :
      ( ( ( $true = SV21 )
        = $true )
      | ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1344940915le_Det @ SV21 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[778]) ).

thf(867,plain,
    ! [SV21: $o] :
      ( ( $true = $true )
      | ( SV21 = $true )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
               != ( paraco1344940915le_Det @ SV21 ) )
              | ( $true != SV21 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[779]) ).

thf(868,plain,
    ! [SV21: $o] :
      ( ( ( ~ $true ) = $true )
      | ( ( ~ SV21 ) = $true )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
               != ( paraco1344940915le_Det @ SV21 ) )
              | ( $true != SV21 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[780]) ).

thf(869,plain,
    ! [SV21: $o] :
      ( ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1344940915le_Det @ SV21 ) )
        = $true )
      | ( ( $true = SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[781]) ).

thf(870,plain,
    ! [SV21: $o] :
      ( ( ( $true = SV21 )
        = $true )
      | ( ( $true = SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[782]) ).

thf(871,plain,
    ( ( ( ~ ( $true
            | $true )
        | ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[784]) ).

thf(872,plain,
    ( ( ( $true = $true )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[784]) ).

thf(873,plain,
    ( ( $true = $true )
    | ( $true = $true )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
             != ( paraco1344940915le_Det @ $true ) )
            | ( $true != $true ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[785]) ).

thf(874,plain,
    ( ( ( ~ $true ) = $true )
    | ( ( ~ $true ) = $true )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
             != ( paraco1344940915le_Det @ $true ) )
            | ( $true != $true ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[786]) ).

thf(875,plain,
    ( ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $true ) )
      = $true )
    | ( ( $true = $true )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[787]) ).

thf(876,plain,
    ( ( ( $true = $true )
      = $true )
    | ( ( $true = $true )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[788]) ).

thf(877,plain,
    ( ( ( ~ ( $true
            | $false )
        | ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[790]) ).

thf(878,plain,
    ( ( ( $true = $false )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[790]) ).

thf(879,plain,
    ( ( $true = $true )
    | ( $false = $true )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
             != ( paraco1344940915le_Det @ $false ) )
            | ( $true != $false ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[791]) ).

thf(880,plain,
    ( ( ( ~ $true ) = $true )
    | ( ( ~ $false ) = $true )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
             != ( paraco1344940915le_Det @ $false ) )
            | ( $true != $false ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[792]) ).

thf(881,plain,
    ( ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $false ) )
      = $true )
    | ( ( $true = $false )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[793]) ).

thf(882,plain,
    ( ( ( $true = $false )
      = $true )
    | ( ( $true = $false )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[794]) ).

thf(883,plain,
    ! [SV22: $o] :
      ( ( ( ~ ( $false
              | SV22 )
          | ~ ( ~ $false
              | ~ SV22 ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ $false )
          = ( paraco1344940915le_Det @ SV22 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[796]) ).

thf(884,plain,
    ! [SV22: $o] :
      ( ( ( $false = SV22 )
        = $true )
      | ( ( ( paraco1344940915le_Det @ $false )
          = ( paraco1344940915le_Det @ SV22 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[796]) ).

thf(885,plain,
    ! [SV22: $o] :
      ( ( $false = $true )
      | ( SV22 = $true )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
               != ( paraco1344940915le_Det @ SV22 ) )
              | ( $false != SV22 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[797]) ).

thf(886,plain,
    ! [SV22: $o] :
      ( ( ( ~ $false ) = $true )
      | ( ( ~ SV22 ) = $true )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
               != ( paraco1344940915le_Det @ SV22 ) )
              | ( $false != SV22 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[798]) ).

thf(887,plain,
    ! [SV22: $o] :
      ( ( ( ( paraco1344940915le_Det @ $false )
          = ( paraco1344940915le_Det @ SV22 ) )
        = $true )
      | ( ( $false = SV22 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[799]) ).

thf(888,plain,
    ! [SV22: $o] :
      ( ( ( $false = SV22 )
        = $true )
      | ( ( $false = SV22 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[800]) ).

thf(889,plain,
    ( ( ( ~ ( $false
            | $true )
        | ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[802]) ).

thf(890,plain,
    ( ( ( $false = $true )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[802]) ).

thf(891,plain,
    ( ( $false = $true )
    | ( $true = $true )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
             != ( paraco1344940915le_Det @ $true ) )
            | ( $false != $true ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[803]) ).

thf(892,plain,
    ( ( ( ~ $false ) = $true )
    | ( ( ~ $true ) = $true )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
             != ( paraco1344940915le_Det @ $true ) )
            | ( $false != $true ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[804]) ).

thf(893,plain,
    ( ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $true ) )
      = $true )
    | ( ( $false = $true )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[805]) ).

thf(894,plain,
    ( ( ( $false = $true )
      = $true )
    | ( ( $false = $true )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[806]) ).

thf(895,plain,
    ( ( ( ~ ( $false
            | $false )
        | ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[808]) ).

thf(896,plain,
    ( ( ( $false = $false )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[808]) ).

thf(897,plain,
    ( ( $false = $true )
    | ( $false = $true )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
             != ( paraco1344940915le_Det @ $false ) )
            | ( $false != $false ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[809]) ).

thf(898,plain,
    ( ( ( ~ $false ) = $true )
    | ( ( ~ $false ) = $true )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
             != ( paraco1344940915le_Det @ $false ) )
            | ( $false != $false ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[810]) ).

thf(899,plain,
    ( ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $false ) )
      = $true )
    | ( ( $false = $false )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[811]) ).

thf(900,plain,
    ( ( ( $false = $false )
      = $true )
    | ( ( $false = $false )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[812]) ).

thf(901,plain,
    ! [SV25: paraco1604210848lle_fm,SV50: list_char > paraco1605129243lle_tv] :
      ( ( ( ( paraco1325918602e_eval @ SV50 @ SV25 )
          = ( paraco1344940915le_Det @ $true ) )
        = $true )
      | ( ( paraco327635598_valid @ SV25 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[814]) ).

thf(902,plain,
    ! [SV25: paraco1604210848lle_fm] :
      ( ( ( paraco327635598_valid @ SV25 )
        = $true )
      | ( ( ( paraco1325918602e_eval @ ( sK4_SY83 @ SV25 ) @ SV25 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[815]) ).

thf(903,plain,
    ! [SV25: paraco1604210848lle_fm] :
      ( ( ( ! [SY83: list_char > paraco1605129243lle_tv] :
              ( ( paraco1325918602e_eval @ SY83 @ SV25 )
              = ( paraco1344940915le_Det @ $true ) ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ ( sK4_SY83 @ SV25 ) @ SV25 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[816]) ).

thf(904,plain,
    ! [SV10: $o] :
      ( ( ( ~ ( SV10
              | $false )
          | ~ ( ~ SV10
              | ~ $false ) )
        = $true )
      | ( SV10 = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[817]) ).

thf(905,plain,
    ! [SV10: $o] :
      ( ( ( SV10 = $false )
        = $true )
      | ( SV10 = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[817]) ).

thf(906,plain,
    ! [SV10: $o] :
      ( ( ( ~ ( SV10
              | $false )
          | ~ ( ~ SV10
              | ~ $false ) )
        = $true )
      | ( SV10 = $false )
      | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[818]) ).

thf(907,plain,
    ! [SV10: $o] :
      ( ( ( SV10 = $false )
        = $true )
      | ( SV10 = $false )
      | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[818]) ).

thf(908,plain,
    ! [SV10: $o] :
      ( ( ( ~ ( SV10
              | $false )
          | ~ ( ~ SV10
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[819]) ).

thf(909,plain,
    ! [SV10: $o] :
      ( ( ( SV10 = $false )
        = $true )
      | ( $true = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[819]) ).

thf(910,plain,
    ! [SV10: $o] :
      ( ( ( ~ ( SV10
              | $false )
          | ~ ( ~ SV10
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[820]) ).

thf(911,plain,
    ! [SV10: $o] :
      ( ( ( SV10 = $false )
        = $true )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[820]) ).

thf(912,plain,
    ! [SV10: $o] :
      ( ( SV10 = $true )
      | ( SV10 = $false )
      | ( ( SV10 = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[821]) ).

thf(913,plain,
    ! [SV10: $o] :
      ( ( $false = $true )
      | ( SV10 = $false )
      | ( ( SV10 = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[822]) ).

thf(914,plain,
    ! [SV10: $o] :
      ( ( SV10 = $true )
      | ( $false = $false )
      | ( ( SV10 = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[823]) ).

thf(915,plain,
    ! [SV10: $o] :
      ( ( $false = $true )
      | ( $false = $false )
      | ( ( SV10 = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[824]) ).

thf(916,plain,
    ( ( ( ~ ( $true
            | $false )
        | ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[825]) ).

thf(917,plain,
    ( ( ( $true = $false )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[825]) ).

thf(918,plain,
    ( ( ( ~ ( $true
            | $false )
        | ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[826]) ).

thf(919,plain,
    ( ( ( $true = $false )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[826]) ).

thf(920,plain,
    ( ( ( ~ ( $true
            | $false )
        | ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[827]) ).

thf(921,plain,
    ( ( ( $true = $false )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[827]) ).

thf(922,plain,
    ( ( ( ~ ( $true
            | $false )
        | ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[828]) ).

thf(923,plain,
    ( ( ( $true = $false )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[828]) ).

thf(924,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[829]) ).

thf(925,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[830]) ).

thf(926,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[831]) ).

thf(927,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[832]) ).

thf(928,plain,
    ( ( ( ~ ( $false
            | $false )
        | ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[833]) ).

thf(929,plain,
    ( ( ( $false = $false )
      = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[833]) ).

thf(930,plain,
    ( ( ( ~ ( $false
            | $false )
        | ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[834]) ).

thf(931,plain,
    ( ( ( $false = $false )
      = $true )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[834]) ).

thf(932,plain,
    ( ( ( ~ ( $false
            | $false )
        | ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[835]) ).

thf(933,plain,
    ( ( ( $false = $false )
      = $true )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[835]) ).

thf(934,plain,
    ( ( ( ~ ( $false
            | $false )
        | ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[836]) ).

thf(935,plain,
    ( ( ( $false = $false )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[836]) ).

thf(936,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[837]) ).

thf(937,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[838]) ).

thf(938,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[839]) ).

thf(939,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[840]) ).

thf(940,plain,
    ! [SV12: paraco1605129243lle_tv] :
      ( ( ( SV12
          = ( paraco793048302_Indet @ ( sK8_SY64 @ SV12 ) ) )
        = $true )
      | ( ( SV12
          = ( paraco1344940915le_Det @ $false ) )
        = $true )
      | ( ( SV12
          = ( paraco1344940915le_Det @ $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[841]) ).

thf(941,plain,
    ! [SV31: paraco1604210848lle_fm,SV13: list_char > paraco1605129243lle_tv] :
      ( ( ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
               != ( paraco1344940915le_Det @ $true ) )
              | ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SV31 ) )
                = ( paraco1344940915le_Det @ $false ) ) ) )
        = $false )
      | ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
          = ( paraco1344940915le_Det @ $false ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[842]) ).

thf(942,plain,
    ! [SV31: paraco1604210848lle_fm,SV13: list_char > paraco1605129243lle_tv] :
      ( ( ( ~ ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
                   != ( paraco1344940915le_Det @ $true ) ) )
              | ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SV31 ) )
                = ( paraco1325918602e_eval @ SV13 @ SV31 ) ) ) )
        = $false )
      | ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
          = ( paraco1344940915le_Det @ $false ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[842]) ).

thf(943,plain,
    ! [SV36: nat > nat,SV44: paraco1605129243lle_tv,SV16: ( nat > nat ) > paraco1605129243lle_tv > $o] :
      ( ( ( ! [SY104: nat] : ( SV16 @ ( sK10_SY73 @ SV44 @ SV36 @ SV16 ) @ ( paraco793048302_Indet @ SY104 ) ) )
        = $false )
      | ( ( SV16 @ SV36 @ SV44 )
        = $true )
      | ( ( SV16 @ ( sK3_SY71 @ SV44 @ SV36 @ SV16 ) @ ( paraco1344940915le_Det @ ( sK5_SY103 @ SV36 @ SV44 @ SV16 ) ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[844]) ).

thf(944,plain,
    ! [SV45: paraco1604210848lle_fm,SV37: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
               != ( paraco1344940915le_Det @ $true ) )
              | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                = ( paraco1325918602e_eval @ SV18 @ SV45 ) ) )
          | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
                   != ( paraco1344940915le_Det @ $true ) ) )
              | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
                       != ( paraco1344940915le_Det @ $true ) )
                      | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                        = ( paraco1325918602e_eval @ SV18 @ SV37 ) ) )
                  | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
                           != ( paraco1344940915le_Det @ $true ) ) )
                      | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                        = ( paraco1344940915le_Det @ $false ) ) ) ) ) )
        = $false )
      | ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1325918602e_eval @ SV18 @ SV45 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[845]) ).

thf(945,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ~ ( SV1
              | SV20 ) )
        = $true )
      | ( ( ~ ( ~ SV1
              | ~ SV20 ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ SV20 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[847]) ).

thf(946,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ( ( paraco1344940915le_Det @ SV1 )
           != ( paraco1344940915le_Det @ SV20 ) )
          | ( SV1 != SV20 ) )
        = $false )
      | ( SV20 = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[849]) ).

thf(947,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( SV1 = $false )
      | ( ( ~ SV20 ) = $true )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ SV20 ) )
              | ( SV1 != SV20 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[850]) ).

thf(948,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ~ ( SV1
              | SV20 )
          | ~ ( ~ SV1
              | ~ SV20 ) )
        = $true )
      | ( ( SV1 = SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[852]) ).

thf(949,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( SV1 = SV20 )
        = $true )
      | ( ( SV1 = SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[852]) ).

thf(950,plain,
    ! [SV1: $o] :
      ( ( ( ~ ( SV1
              | $true ) )
        = $true )
      | ( ( ~ ( ~ SV1
              | ~ $true ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[853]) ).

thf(951,plain,
    ! [SV1: $o] :
      ( ( ( ( ( paraco1344940915le_Det @ SV1 )
           != ( paraco1344940915le_Det @ $true ) )
          | ( SV1 != $true ) )
        = $false )
      | ( $true = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[855]) ).

thf(952,plain,
    ! [SV1: $o] :
      ( ( SV1 = $false )
      | ( ( ~ $true ) = $true )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ $true ) )
              | ( SV1 != $true ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[856]) ).

thf(953,plain,
    ! [SV1: $o] :
      ( ( ( ~ ( SV1
              | $true )
          | ~ ( ~ SV1
              | ~ $true ) )
        = $true )
      | ( ( SV1 = $true )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[858]) ).

thf(954,plain,
    ! [SV1: $o] :
      ( ( ( SV1 = $true )
        = $true )
      | ( ( SV1 = $true )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[858]) ).

thf(955,plain,
    ! [SV1: $o] :
      ( ( ( ~ ( SV1
              | $false ) )
        = $true )
      | ( ( ~ ( ~ SV1
              | ~ $false ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $false ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[859]) ).

thf(956,plain,
    ! [SV1: $o] :
      ( ( ( ( ( paraco1344940915le_Det @ SV1 )
           != ( paraco1344940915le_Det @ $false ) )
          | ( SV1 != $false ) )
        = $false )
      | ( $false = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[861]) ).

thf(957,plain,
    ! [SV1: $o] :
      ( ( SV1 = $false )
      | ( ( ~ $false ) = $true )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ $false ) )
              | ( SV1 != $false ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[862]) ).

thf(958,plain,
    ! [SV1: $o] :
      ( ( ( ~ ( SV1
              | $false )
          | ~ ( ~ SV1
              | ~ $false ) )
        = $true )
      | ( ( SV1 = $false )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[864]) ).

thf(959,plain,
    ! [SV1: $o] :
      ( ( ( SV1 = $false )
        = $true )
      | ( ( SV1 = $false )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[864]) ).

thf(960,plain,
    ! [SV21: $o] :
      ( ( ( ~ ( $true
              | SV21 ) )
        = $true )
      | ( ( ~ ( ~ $true
              | ~ SV21 ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1344940915le_Det @ SV21 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[865]) ).

thf(961,plain,
    ! [SV21: $o] :
      ( ( ( ( ( paraco1344940915le_Det @ $true )
           != ( paraco1344940915le_Det @ SV21 ) )
          | ( $true != SV21 ) )
        = $false )
      | ( SV21 = $true )
      | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[867]) ).

thf(962,plain,
    ! [SV21: $o] :
      ( ( $true = $false )
      | ( ( ~ SV21 ) = $true )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
               != ( paraco1344940915le_Det @ SV21 ) )
              | ( $true != SV21 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[868]) ).

thf(963,plain,
    ! [SV21: $o] :
      ( ( ( ~ ( $true
              | SV21 )
          | ~ ( ~ $true
              | ~ SV21 ) )
        = $true )
      | ( ( $true = SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[870]) ).

thf(964,plain,
    ! [SV21: $o] :
      ( ( ( $true = SV21 )
        = $true )
      | ( ( $true = SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[870]) ).

thf(965,plain,
    ( ( ( ~ ( $true
            | $true ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[871]) ).

thf(966,plain,
    ( ( ( ( ( paraco1344940915le_Det @ $true )
         != ( paraco1344940915le_Det @ $true ) )
        | ( $true != $true ) )
      = $false )
    | ( $true = $true )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[873]) ).

thf(967,plain,
    ( ( $true = $false )
    | ( ( ~ $true ) = $true )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
             != ( paraco1344940915le_Det @ $true ) )
            | ( $true != $true ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[874]) ).

thf(968,plain,
    ( ( ( ~ ( $true
            | $true )
        | ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( ( $true = $true )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[876]) ).

thf(969,plain,
    ( ( ( $true = $true )
      = $true )
    | ( ( $true = $true )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[876]) ).

thf(970,plain,
    ( ( ( ~ ( $true
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[877]) ).

thf(971,plain,
    ( ( ( ( ( paraco1344940915le_Det @ $true )
         != ( paraco1344940915le_Det @ $false ) )
        | ( $true != $false ) )
      = $false )
    | ( $false = $true )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[879]) ).

thf(972,plain,
    ( ( $true = $false )
    | ( ( ~ $false ) = $true )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
             != ( paraco1344940915le_Det @ $false ) )
            | ( $true != $false ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[880]) ).

thf(973,plain,
    ( ( ( ~ ( $true
            | $false )
        | ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( ( $true = $false )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[882]) ).

thf(974,plain,
    ( ( ( $true = $false )
      = $true )
    | ( ( $true = $false )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[882]) ).

thf(975,plain,
    ! [SV22: $o] :
      ( ( ( ~ ( $false
              | SV22 ) )
        = $true )
      | ( ( ~ ( ~ $false
              | ~ SV22 ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ $false )
          = ( paraco1344940915le_Det @ SV22 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[883]) ).

thf(976,plain,
    ! [SV22: $o] :
      ( ( ( ( ( paraco1344940915le_Det @ $false )
           != ( paraco1344940915le_Det @ SV22 ) )
          | ( $false != SV22 ) )
        = $false )
      | ( SV22 = $true )
      | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[885]) ).

thf(977,plain,
    ! [SV22: $o] :
      ( ( $false = $false )
      | ( ( ~ SV22 ) = $true )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
               != ( paraco1344940915le_Det @ SV22 ) )
              | ( $false != SV22 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[886]) ).

thf(978,plain,
    ! [SV22: $o] :
      ( ( ( ~ ( $false
              | SV22 )
          | ~ ( ~ $false
              | ~ SV22 ) )
        = $true )
      | ( ( $false = SV22 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[888]) ).

thf(979,plain,
    ! [SV22: $o] :
      ( ( ( $false = SV22 )
        = $true )
      | ( ( $false = SV22 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[888]) ).

thf(980,plain,
    ( ( ( ~ ( $false
            | $true ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[889]) ).

thf(981,plain,
    ( ( ( ( ( paraco1344940915le_Det @ $false )
         != ( paraco1344940915le_Det @ $true ) )
        | ( $false != $true ) )
      = $false )
    | ( $true = $true )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[891]) ).

thf(982,plain,
    ( ( $false = $false )
    | ( ( ~ $true ) = $true )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
             != ( paraco1344940915le_Det @ $true ) )
            | ( $false != $true ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[892]) ).

thf(983,plain,
    ( ( ( ~ ( $false
            | $true )
        | ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( ( $false = $true )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[894]) ).

thf(984,plain,
    ( ( ( $false = $true )
      = $true )
    | ( ( $false = $true )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[894]) ).

thf(985,plain,
    ( ( ( ~ ( $false
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[895]) ).

thf(986,plain,
    ( ( ( ( ( paraco1344940915le_Det @ $false )
         != ( paraco1344940915le_Det @ $false ) )
        | ( $false != $false ) )
      = $false )
    | ( $false = $true )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[897]) ).

thf(987,plain,
    ( ( $false = $false )
    | ( ( ~ $false ) = $true )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
             != ( paraco1344940915le_Det @ $false ) )
            | ( $false != $false ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[898]) ).

thf(988,plain,
    ( ( ( ~ ( $false
            | $false )
        | ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( ( $false = $false )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[900]) ).

thf(989,plain,
    ( ( ( $false = $false )
      = $true )
    | ( ( $false = $false )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[900]) ).

thf(990,plain,
    ! [SV25: paraco1604210848lle_fm,SV51: list_char > paraco1605129243lle_tv] :
      ( ( ( ( paraco1325918602e_eval @ SV51 @ SV25 )
          = ( paraco1344940915le_Det @ $true ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ ( sK4_SY83 @ SV25 ) @ SV25 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[903]) ).

thf(991,plain,
    ! [SV10: $o] :
      ( ( ( ~ ( SV10
              | $false ) )
        = $true )
      | ( ( ~ ( ~ SV10
              | ~ $false ) )
        = $true )
      | ( SV10 = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[904]) ).

thf(992,plain,
    ! [SV10: $o] :
      ( ( ( ~ ( SV10
              | $false ) )
        = $true )
      | ( ( ~ ( ~ SV10
              | ~ $false ) )
        = $true )
      | ( SV10 = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[906]) ).

thf(993,plain,
    ! [SV10: $o] :
      ( ( ( ~ ( SV10
              | $false ) )
        = $true )
      | ( ( ~ ( ~ SV10
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[908]) ).

thf(994,plain,
    ! [SV10: $o] :
      ( ( ( ~ ( SV10
              | $false ) )
        = $true )
      | ( ( ~ ( ~ SV10
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[910]) ).

thf(995,plain,
    ( ( ( ~ ( $true
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[916]) ).

thf(996,plain,
    ( ( ( ~ ( $true
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[918]) ).

thf(997,plain,
    ( ( ( ~ ( $true
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[920]) ).

thf(998,plain,
    ( ( ( ~ ( $true
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[922]) ).

thf(999,plain,
    ( ( ( ~ ( $false
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[928]) ).

thf(1000,plain,
    ( ( ( ~ ( $false
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[930]) ).

thf(1001,plain,
    ( ( ( ~ ( $false
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[932]) ).

thf(1002,plain,
    ( ( ( ~ ( $false
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[934]) ).

thf(1003,plain,
    ! [SV31: paraco1604210848lle_fm,SV13: list_char > paraco1605129243lle_tv] :
      ( ( ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
           != ( paraco1344940915le_Det @ $true ) )
          | ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SV31 ) )
            = ( paraco1344940915le_Det @ $false ) ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
          = ( paraco1344940915le_Det @ $false ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[941]) ).

thf(1004,plain,
    ! [SV31: paraco1604210848lle_fm,SV13: list_char > paraco1605129243lle_tv] :
      ( ( ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
               != ( paraco1344940915le_Det @ $true ) ) )
          | ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SV31 ) )
            = ( paraco1325918602e_eval @ SV13 @ SV31 ) ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
          = ( paraco1344940915le_Det @ $false ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[942]) ).

thf(1005,plain,
    ! [SV36: nat > nat,SV44: paraco1605129243lle_tv,SV16: ( nat > nat ) > paraco1605129243lle_tv > $o] :
      ( ( ( SV16 @ ( sK10_SY73 @ SV44 @ SV36 @ SV16 ) @ ( paraco793048302_Indet @ ( sK11_SY104 @ SV36 @ SV44 @ SV16 ) ) )
        = $false )
      | ( ( SV16 @ SV36 @ SV44 )
        = $true )
      | ( ( SV16 @ ( sK3_SY71 @ SV44 @ SV36 @ SV16 ) @ ( paraco1344940915le_Det @ ( sK5_SY103 @ SV36 @ SV44 @ SV16 ) ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[943]) ).

thf(1006,plain,
    ! [SV45: paraco1604210848lle_fm,SV37: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
               != ( paraco1344940915le_Det @ $true ) )
              | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                = ( paraco1325918602e_eval @ SV18 @ SV45 ) ) ) )
        = $false )
      | ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1325918602e_eval @ SV18 @ SV45 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[944]) ).

thf(1007,plain,
    ! [SV45: paraco1604210848lle_fm,SV37: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ( ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
                   != ( paraco1344940915le_Det @ $true ) ) )
              | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
                       != ( paraco1344940915le_Det @ $true ) )
                      | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                        = ( paraco1325918602e_eval @ SV18 @ SV37 ) ) )
                  | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
                           != ( paraco1344940915le_Det @ $true ) ) )
                      | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                        = ( paraco1344940915le_Det @ $false ) ) ) ) ) )
        = $false )
      | ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1325918602e_eval @ SV18 @ SV45 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[944]) ).

thf(1008,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( SV1
          | SV20 )
        = $false )
      | ( ( ~ ( ~ SV1
              | ~ SV20 ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ SV20 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[945]) ).

thf(1009,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
         != ( paraco1344940915le_Det @ SV20 ) )
        = $false )
      | ( SV20 = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[946]) ).

thf(1010,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( SV1 != SV20 )
        = $false )
      | ( SV20 = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[946]) ).

thf(1011,plain,
    ! [SV1: $o,SV20: $o] :
      ( ( SV20 = $false )
      | ( SV1 = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ SV20 ) )
              | ( SV1 != SV20 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[947]) ).

thf(1012,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ~ ( SV1
              | SV20 ) )
        = $true )
      | ( ( ~ ( ~ SV1
              | ~ SV20 ) )
        = $true )
      | ( ( SV1 = SV20 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[948]) ).

thf(1013,plain,
    ! [SV1: $o] :
      ( ( ( SV1
          | $true )
        = $false )
      | ( ( ~ ( ~ SV1
              | ~ $true ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[950]) ).

thf(1014,plain,
    ! [SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
         != ( paraco1344940915le_Det @ $true ) )
        = $false )
      | ( $true = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[951]) ).

thf(1015,plain,
    ! [SV1: $o] :
      ( ( ( SV1 != $true )
        = $false )
      | ( $true = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[951]) ).

thf(1016,plain,
    ! [SV1: $o] :
      ( ( $true = $false )
      | ( SV1 = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ $true ) )
              | ( SV1 != $true ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[952]) ).

thf(1017,plain,
    ! [SV1: $o] :
      ( ( ( ~ ( SV1
              | $true ) )
        = $true )
      | ( ( ~ ( ~ SV1
              | ~ $true ) )
        = $true )
      | ( ( SV1 = $true )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[953]) ).

thf(1018,plain,
    ! [SV1: $o] :
      ( ( ( SV1
          | $false )
        = $false )
      | ( ( ~ ( ~ SV1
              | ~ $false ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $false ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[955]) ).

thf(1019,plain,
    ! [SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
         != ( paraco1344940915le_Det @ $false ) )
        = $false )
      | ( $false = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[956]) ).

thf(1020,plain,
    ! [SV1: $o] :
      ( ( ( SV1 != $false )
        = $false )
      | ( $false = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[956]) ).

thf(1021,plain,
    ! [SV1: $o] :
      ( ( $false = $false )
      | ( SV1 = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ SV1 )
               != ( paraco1344940915le_Det @ $false ) )
              | ( SV1 != $false ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[957]) ).

thf(1022,plain,
    ! [SV1: $o] :
      ( ( ( ~ ( SV1
              | $false ) )
        = $true )
      | ( ( ~ ( ~ SV1
              | ~ $false ) )
        = $true )
      | ( ( SV1 = $false )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[958]) ).

thf(1023,plain,
    ! [SV21: $o] :
      ( ( ( $true
          | SV21 )
        = $false )
      | ( ( ~ ( ~ $true
              | ~ SV21 ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1344940915le_Det @ SV21 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[960]) ).

thf(1024,plain,
    ! [SV21: $o] :
      ( ( ( ( paraco1344940915le_Det @ $true )
         != ( paraco1344940915le_Det @ SV21 ) )
        = $false )
      | ( SV21 = $true )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[961]) ).

thf(1025,plain,
    ! [SV21: $o] :
      ( ( ( $true != SV21 )
        = $false )
      | ( SV21 = $true )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[961]) ).

thf(1026,plain,
    ! [SV21: $o] :
      ( ( SV21 = $false )
      | ( $true = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
               != ( paraco1344940915le_Det @ SV21 ) )
              | ( $true != SV21 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[962]) ).

thf(1027,plain,
    ! [SV21: $o] :
      ( ( ( ~ ( $true
              | SV21 ) )
        = $true )
      | ( ( ~ ( ~ $true
              | ~ SV21 ) )
        = $true )
      | ( ( $true = SV21 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[963]) ).

thf(1028,plain,
    ( ( ( $true
        | $true )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[965]) ).

thf(1029,plain,
    ( ( ( ( paraco1344940915le_Det @ $true )
       != ( paraco1344940915le_Det @ $true ) )
      = $false )
    | ( $true = $true )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[966]) ).

thf(1030,plain,
    ( ( ( $true != $true )
      = $false )
    | ( $true = $true )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[966]) ).

thf(1031,plain,
    ( ( $true = $false )
    | ( $true = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
             != ( paraco1344940915le_Det @ $true ) )
            | ( $true != $true ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[967]) ).

thf(1032,plain,
    ( ( ( ~ ( $true
            | $true ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( ( $true = $true )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[968]) ).

thf(1033,plain,
    ( ( ( $true
        | $false )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[970]) ).

thf(1034,plain,
    ( ( ( ( paraco1344940915le_Det @ $true )
       != ( paraco1344940915le_Det @ $false ) )
      = $false )
    | ( $false = $true )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[971]) ).

thf(1035,plain,
    ( ( ( $true != $false )
      = $false )
    | ( $false = $true )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[971]) ).

thf(1036,plain,
    ( ( $false = $false )
    | ( $true = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $true )
             != ( paraco1344940915le_Det @ $false ) )
            | ( $true != $false ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[972]) ).

thf(1037,plain,
    ( ( ( ~ ( $true
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( ( $true = $false )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[973]) ).

thf(1038,plain,
    ! [SV22: $o] :
      ( ( ( $false
          | SV22 )
        = $false )
      | ( ( ~ ( ~ $false
              | ~ SV22 ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ $false )
          = ( paraco1344940915le_Det @ SV22 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[975]) ).

thf(1039,plain,
    ! [SV22: $o] :
      ( ( ( ( paraco1344940915le_Det @ $false )
         != ( paraco1344940915le_Det @ SV22 ) )
        = $false )
      | ( SV22 = $true )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[976]) ).

thf(1040,plain,
    ! [SV22: $o] :
      ( ( ( $false != SV22 )
        = $false )
      | ( SV22 = $true )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[976]) ).

thf(1041,plain,
    ! [SV22: $o] :
      ( ( SV22 = $false )
      | ( $false = $false )
      | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
               != ( paraco1344940915le_Det @ SV22 ) )
              | ( $false != SV22 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[977]) ).

thf(1042,plain,
    ! [SV22: $o] :
      ( ( ( ~ ( $false
              | SV22 ) )
        = $true )
      | ( ( ~ ( ~ $false
              | ~ SV22 ) )
        = $true )
      | ( ( $false = SV22 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[978]) ).

thf(1043,plain,
    ( ( ( $false
        | $true )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[980]) ).

thf(1044,plain,
    ( ( ( ( paraco1344940915le_Det @ $false )
       != ( paraco1344940915le_Det @ $true ) )
      = $false )
    | ( $true = $true )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[981]) ).

thf(1045,plain,
    ( ( ( $false != $true )
      = $false )
    | ( $true = $true )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[981]) ).

thf(1046,plain,
    ( ( $true = $false )
    | ( $false = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
             != ( paraco1344940915le_Det @ $true ) )
            | ( $false != $true ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[982]) ).

thf(1047,plain,
    ( ( ( ~ ( $false
            | $true ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( ( $false = $true )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[983]) ).

thf(1048,plain,
    ( ( ( $false
        | $false )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[985]) ).

thf(1049,plain,
    ( ( ( ( paraco1344940915le_Det @ $false )
       != ( paraco1344940915le_Det @ $false ) )
      = $false )
    | ( $false = $true )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[986]) ).

thf(1050,plain,
    ( ( ( $false != $false )
      = $false )
    | ( $false = $true )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[986]) ).

thf(1051,plain,
    ( ( $false = $false )
    | ( $false = $false )
    | ( ( ~ ( ( ( paraco1344940915le_Det @ $false )
             != ( paraco1344940915le_Det @ $false ) )
            | ( $false != $false ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[987]) ).

thf(1052,plain,
    ( ( ( ~ ( $false
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( ( $false = $false )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[988]) ).

thf(1053,plain,
    ! [SV10: $o] :
      ( ( ( SV10
          | $false )
        = $false )
      | ( ( ~ ( ~ SV10
              | ~ $false ) )
        = $true )
      | ( SV10 = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[991]) ).

thf(1054,plain,
    ! [SV10: $o] :
      ( ( ( SV10
          | $false )
        = $false )
      | ( ( ~ ( ~ SV10
              | ~ $false ) )
        = $true )
      | ( SV10 = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[992]) ).

thf(1055,plain,
    ! [SV10: $o] :
      ( ( ( SV10
          | $false )
        = $false )
      | ( ( ~ ( ~ SV10
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[993]) ).

thf(1056,plain,
    ! [SV10: $o] :
      ( ( ( SV10
          | $false )
        = $false )
      | ( ( ~ ( ~ SV10
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[994]) ).

thf(1057,plain,
    ( ( ( $true
        | $false )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[995]) ).

thf(1058,plain,
    ( ( ( $true
        | $false )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[996]) ).

thf(1059,plain,
    ( ( ( $true
        | $false )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[997]) ).

thf(1060,plain,
    ( ( ( $true
        | $false )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[998]) ).

thf(1061,plain,
    ( ( ( $false
        | $false )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[999]) ).

thf(1062,plain,
    ( ( ( $false
        | $false )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1000]) ).

thf(1063,plain,
    ( ( ( $false
        | $false )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1001]) ).

thf(1064,plain,
    ( ( ( $false
        | $false )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1002]) ).

thf(1065,plain,
    ! [SV31: paraco1604210848lle_fm,SV13: list_char > paraco1605129243lle_tv] :
      ( ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
         != ( paraco1344940915le_Det @ $true ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SV31 ) )
          = ( paraco1344940915le_Det @ $false ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
          = ( paraco1344940915le_Det @ $false ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1003]) ).

thf(1066,plain,
    ! [SV31: paraco1604210848lle_fm,SV13: list_char > paraco1605129243lle_tv] :
      ( ( ( ~ ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
               != ( paraco1344940915le_Det @ $true ) ) ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SV31 ) )
          = ( paraco1325918602e_eval @ SV13 @ SV31 ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
          = ( paraco1344940915le_Det @ $false ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1004]) ).

thf(1067,plain,
    ! [SV45: paraco1604210848lle_fm,SV37: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
           != ( paraco1344940915le_Det @ $true ) )
          | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
            = ( paraco1325918602e_eval @ SV18 @ SV45 ) ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1325918602e_eval @ SV18 @ SV45 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1006]) ).

thf(1068,plain,
    ! [SV45: paraco1604210848lle_fm,SV37: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
               != ( paraco1344940915le_Det @ $true ) ) )
          | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
                   != ( paraco1344940915le_Det @ $true ) )
                  | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                    = ( paraco1325918602e_eval @ SV18 @ SV37 ) ) )
              | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
                       != ( paraco1344940915le_Det @ $true ) ) )
                  | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                    = ( paraco1344940915le_Det @ $false ) ) ) ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1325918602e_eval @ SV18 @ SV45 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1007]) ).

thf(1069,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( SV1 = $false )
      | ( ( ~ ( ~ SV1
              | ~ SV20 ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ SV20 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1008]) ).

thf(1070,plain,
    ! [SV1: $o,SV20: $o] :
      ( ( SV20 = $false )
      | ( ( ~ ( ~ SV1
              | ~ SV20 ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ SV20 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1008]) ).

thf(1071,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ SV20 ) )
        = $true )
      | ( SV20 = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1009]) ).

thf(1072,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( SV1 = SV20 )
        = $true )
      | ( SV20 = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1010]) ).

thf(1073,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ( ( paraco1344940915le_Det @ SV1 )
           != ( paraco1344940915le_Det @ SV20 ) )
          | ( SV1 != SV20 ) )
        = $false )
      | ( SV1 = $false )
      | ( SV20 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1011]) ).

thf(1074,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( SV1
          | SV20 )
        = $false )
      | ( ( ~ ( ~ SV1
              | ~ SV20 ) )
        = $true )
      | ( ( SV1 = SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1012]) ).

thf(1075,plain,
    ! [SV1: $o] :
      ( ( SV1 = $false )
      | ( ( ~ ( ~ SV1
              | ~ $true ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1013]) ).

thf(1076,plain,
    ! [SV1: $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ SV1
              | ~ $true ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1013]) ).

thf(1077,plain,
    ! [SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $true ) )
        = $true )
      | ( $true = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1014]) ).

thf(1078,plain,
    ! [SV1: $o] :
      ( ( ( SV1 = $true )
        = $true )
      | ( $true = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1015]) ).

thf(1079,plain,
    ! [SV1: $o] :
      ( ( ( ( ( paraco1344940915le_Det @ SV1 )
           != ( paraco1344940915le_Det @ $true ) )
          | ( SV1 != $true ) )
        = $false )
      | ( SV1 = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1016]) ).

thf(1080,plain,
    ! [SV1: $o] :
      ( ( ( SV1
          | $true )
        = $false )
      | ( ( ~ ( ~ SV1
              | ~ $true ) )
        = $true )
      | ( ( SV1 = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1017]) ).

thf(1081,plain,
    ! [SV1: $o] :
      ( ( SV1 = $false )
      | ( ( ~ ( ~ SV1
              | ~ $false ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $false ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1018]) ).

thf(1082,plain,
    ! [SV1: $o] :
      ( ( $false = $false )
      | ( ( ~ ( ~ SV1
              | ~ $false ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $false ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1018]) ).

thf(1083,plain,
    ! [SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $false ) )
        = $true )
      | ( $false = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1019]) ).

thf(1084,plain,
    ! [SV1: $o] :
      ( ( ( SV1 = $false )
        = $true )
      | ( $false = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1020]) ).

thf(1085,plain,
    ! [SV1: $o] :
      ( ( ( ( ( paraco1344940915le_Det @ SV1 )
           != ( paraco1344940915le_Det @ $false ) )
          | ( SV1 != $false ) )
        = $false )
      | ( SV1 = $false )
      | ( $false = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1021]) ).

thf(1086,plain,
    ! [SV1: $o] :
      ( ( ( SV1
          | $false )
        = $false )
      | ( ( ~ ( ~ SV1
              | ~ $false ) )
        = $true )
      | ( ( SV1 = $false )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1022]) ).

thf(1087,plain,
    ! [SV21: $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ $true
              | ~ SV21 ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1344940915le_Det @ SV21 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1023]) ).

thf(1088,plain,
    ! [SV21: $o] :
      ( ( SV21 = $false )
      | ( ( ~ ( ~ $true
              | ~ SV21 ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1344940915le_Det @ SV21 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1023]) ).

thf(1089,plain,
    ! [SV21: $o] :
      ( ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1344940915le_Det @ SV21 ) )
        = $true )
      | ( SV21 = $true )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1024]) ).

thf(1090,plain,
    ! [SV21: $o] :
      ( ( ( $true = SV21 )
        = $true )
      | ( SV21 = $true )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1025]) ).

thf(1091,plain,
    ! [SV21: $o] :
      ( ( ( ( ( paraco1344940915le_Det @ $true )
           != ( paraco1344940915le_Det @ SV21 ) )
          | ( $true != SV21 ) )
        = $false )
      | ( $true = $false )
      | ( SV21 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1026]) ).

thf(1092,plain,
    ! [SV21: $o] :
      ( ( ( $true
          | SV21 )
        = $false )
      | ( ( ~ ( ~ $true
              | ~ SV21 ) )
        = $true )
      | ( ( $true = SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1027]) ).

thf(1093,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1028]) ).

thf(1094,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1028]) ).

thf(1095,plain,
    ( ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $true ) )
      = $true )
    | ( $true = $true )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1029]) ).

thf(1096,plain,
    ( ( ( $true = $true )
      = $true )
    | ( $true = $true )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1030]) ).

thf(1097,plain,
    ( ( ( ( ( paraco1344940915le_Det @ $true )
         != ( paraco1344940915le_Det @ $true ) )
        | ( $true != $true ) )
      = $false )
    | ( $true = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1031]) ).

thf(1098,plain,
    ( ( ( $true
        | $true )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( ( $true = $true )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1032]) ).

thf(1099,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1033]) ).

thf(1100,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1033]) ).

thf(1101,plain,
    ( ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $false ) )
      = $true )
    | ( $false = $true )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1034]) ).

thf(1102,plain,
    ( ( ( $true = $false )
      = $true )
    | ( $false = $true )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1035]) ).

thf(1103,plain,
    ( ( ( ( ( paraco1344940915le_Det @ $true )
         != ( paraco1344940915le_Det @ $false ) )
        | ( $true != $false ) )
      = $false )
    | ( $true = $false )
    | ( $false = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1036]) ).

thf(1104,plain,
    ( ( ( $true
        | $false )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( ( $true = $false )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1037]) ).

thf(1105,plain,
    ! [SV22: $o] :
      ( ( $false = $false )
      | ( ( ~ ( ~ $false
              | ~ SV22 ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ $false )
          = ( paraco1344940915le_Det @ SV22 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1038]) ).

thf(1106,plain,
    ! [SV22: $o] :
      ( ( SV22 = $false )
      | ( ( ~ ( ~ $false
              | ~ SV22 ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ $false )
          = ( paraco1344940915le_Det @ SV22 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1038]) ).

thf(1107,plain,
    ! [SV22: $o] :
      ( ( ( ( paraco1344940915le_Det @ $false )
          = ( paraco1344940915le_Det @ SV22 ) )
        = $true )
      | ( SV22 = $true )
      | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1039]) ).

thf(1108,plain,
    ! [SV22: $o] :
      ( ( ( $false = SV22 )
        = $true )
      | ( SV22 = $true )
      | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1040]) ).

thf(1109,plain,
    ! [SV22: $o] :
      ( ( ( ( ( paraco1344940915le_Det @ $false )
           != ( paraco1344940915le_Det @ SV22 ) )
          | ( $false != SV22 ) )
        = $false )
      | ( $false = $false )
      | ( SV22 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1041]) ).

thf(1110,plain,
    ! [SV22: $o] :
      ( ( ( $false
          | SV22 )
        = $false )
      | ( ( ~ ( ~ $false
              | ~ SV22 ) )
        = $true )
      | ( ( $false = SV22 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1042]) ).

thf(1111,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1043]) ).

thf(1112,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1043]) ).

thf(1113,plain,
    ( ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $true ) )
      = $true )
    | ( $true = $true )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1044]) ).

thf(1114,plain,
    ( ( ( $false = $true )
      = $true )
    | ( $true = $true )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1045]) ).

thf(1115,plain,
    ( ( ( ( ( paraco1344940915le_Det @ $false )
         != ( paraco1344940915le_Det @ $true ) )
        | ( $false != $true ) )
      = $false )
    | ( $false = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1046]) ).

thf(1116,plain,
    ( ( ( $false
        | $true )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( ( $false = $true )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1047]) ).

thf(1117,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1048]) ).

thf(1118,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1048]) ).

thf(1119,plain,
    ( ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $false ) )
      = $true )
    | ( $false = $true )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1049]) ).

thf(1120,plain,
    ( ( ( $false = $false )
      = $true )
    | ( $false = $true )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1050]) ).

thf(1121,plain,
    ( ( ( ( ( paraco1344940915le_Det @ $false )
         != ( paraco1344940915le_Det @ $false ) )
        | ( $false != $false ) )
      = $false )
    | ( $false = $false )
    | ( $false = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1051]) ).

thf(1122,plain,
    ( ( ( $false
        | $false )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( ( $false = $false )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1052]) ).

thf(1123,plain,
    ! [SV10: $o] :
      ( ( SV10 = $false )
      | ( ( ~ ( ~ SV10
              | ~ $false ) )
        = $true )
      | ( SV10 = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1053]) ).

thf(1124,plain,
    ! [SV10: $o] :
      ( ( $false = $false )
      | ( ( ~ ( ~ SV10
              | ~ $false ) )
        = $true )
      | ( SV10 = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1053]) ).

thf(1125,plain,
    ! [SV10: $o] :
      ( ( SV10 = $false )
      | ( ( ~ ( ~ SV10
              | ~ $false ) )
        = $true )
      | ( SV10 = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1054]) ).

thf(1126,plain,
    ! [SV10: $o] :
      ( ( $false = $false )
      | ( ( ~ ( ~ SV10
              | ~ $false ) )
        = $true )
      | ( SV10 = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1054]) ).

thf(1127,plain,
    ! [SV10: $o] :
      ( ( SV10 = $false )
      | ( ( ~ ( ~ SV10
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1055]) ).

thf(1128,plain,
    ! [SV10: $o] :
      ( ( $false = $false )
      | ( ( ~ ( ~ SV10
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1055]) ).

thf(1129,plain,
    ! [SV10: $o] :
      ( ( SV10 = $false )
      | ( ( ~ ( ~ SV10
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1056]) ).

thf(1130,plain,
    ! [SV10: $o] :
      ( ( $false = $false )
      | ( ( ~ ( ~ SV10
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1056]) ).

thf(1131,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1057]) ).

thf(1132,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1057]) ).

thf(1133,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1058]) ).

thf(1134,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1058]) ).

thf(1135,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1059]) ).

thf(1136,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1059]) ).

thf(1137,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1060]) ).

thf(1138,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1060]) ).

thf(1139,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1061]) ).

thf(1140,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1061]) ).

thf(1141,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1062]) ).

thf(1142,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1062]) ).

thf(1143,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1063]) ).

thf(1144,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1063]) ).

thf(1145,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1064]) ).

thf(1146,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1064]) ).

thf(1147,plain,
    ! [SV31: paraco1604210848lle_fm,SV13: list_char > paraco1605129243lle_tv] :
      ( ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false )
      | ( ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SV31 ) )
          = ( paraco1344940915le_Det @ $false ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
          = ( paraco1344940915le_Det @ $false ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1065]) ).

thf(1148,plain,
    ! [SV31: paraco1604210848lle_fm,SV13: list_char > paraco1605129243lle_tv] :
      ( ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
         != ( paraco1344940915le_Det @ $true ) )
        = $false )
      | ( ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SV31 ) )
          = ( paraco1325918602e_eval @ SV13 @ SV31 ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
          = ( paraco1344940915le_Det @ $false ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1066]) ).

thf(1149,plain,
    ! [SV45: paraco1604210848lle_fm,SV37: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
         != ( paraco1344940915le_Det @ $true ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
          = ( paraco1325918602e_eval @ SV18 @ SV45 ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1325918602e_eval @ SV18 @ SV45 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1067]) ).

thf(1150,plain,
    ! [SV45: paraco1604210848lle_fm,SV37: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
               != ( paraco1344940915le_Det @ $true ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
                   != ( paraco1344940915le_Det @ $true ) )
                  | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                    = ( paraco1325918602e_eval @ SV18 @ SV37 ) ) )
              | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
                       != ( paraco1344940915le_Det @ $true ) ) )
                  | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                    = ( paraco1344940915le_Det @ $false ) ) ) ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1325918602e_eval @ SV18 @ SV45 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1068]) ).

thf(1151,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ~ SV1
          | ~ SV20 )
        = $false )
      | ( SV1 = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ SV20 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1069]) ).

thf(1152,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ~ SV1
          | ~ SV20 )
        = $false )
      | ( SV20 = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ SV20 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1070]) ).

thf(1153,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ~ ( SV1
              | SV20 )
          | ~ ( ~ SV1
              | ~ SV20 ) )
        = $true )
      | ( SV20 = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1072]) ).

thf(1154,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( SV1 = SV20 )
        = $true )
      | ( SV20 = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1072]) ).

thf(1155,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
         != ( paraco1344940915le_Det @ SV20 ) )
        = $false )
      | ( SV1 = $false )
      | ( SV20 = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1073]) ).

thf(1156,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( SV1 != SV20 )
        = $false )
      | ( SV1 = $false )
      | ( SV20 = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1073]) ).

thf(1157,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( SV1 = $false )
      | ( ( ~ ( ~ SV1
              | ~ SV20 ) )
        = $true )
      | ( ( SV1 = SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1074]) ).

thf(1158,plain,
    ! [SV1: $o,SV20: $o] :
      ( ( SV20 = $false )
      | ( ( ~ ( ~ SV1
              | ~ SV20 ) )
        = $true )
      | ( ( SV1 = SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1074]) ).

thf(1159,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1
          | ~ $true )
        = $false )
      | ( SV1 = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1075]) ).

thf(1160,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1076]) ).

thf(1161,plain,
    ! [SV1: $o] :
      ( ( ( ~ ( SV1
              | $true )
          | ~ ( ~ SV1
              | ~ $true ) )
        = $true )
      | ( $true = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1078]) ).

thf(1162,plain,
    ! [SV1: $o] :
      ( ( ( SV1 = $true )
        = $true )
      | ( $true = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1078]) ).

thf(1163,plain,
    ! [SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
         != ( paraco1344940915le_Det @ $true ) )
        = $false )
      | ( SV1 = $false )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1079]) ).

thf(1164,plain,
    ! [SV1: $o] :
      ( ( ( SV1 != $true )
        = $false )
      | ( SV1 = $false )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1079]) ).

thf(1165,plain,
    ! [SV1: $o] :
      ( ( SV1 = $false )
      | ( ( ~ ( ~ SV1
              | ~ $true ) )
        = $true )
      | ( ( SV1 = $true )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1080]) ).

thf(1166,plain,
    ! [SV1: $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ SV1
              | ~ $true ) )
        = $true )
      | ( ( SV1 = $true )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1080]) ).

thf(1167,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1
          | ~ $false )
        = $false )
      | ( SV1 = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $false ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1081]) ).

thf(1168,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1
          | ~ $false )
        = $false )
      | ( $false = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $false ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1082]) ).

thf(1169,plain,
    ! [SV1: $o] :
      ( ( ( ~ ( SV1
              | $false )
          | ~ ( ~ SV1
              | ~ $false ) )
        = $true )
      | ( $false = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1084]) ).

thf(1170,plain,
    ! [SV1: $o] :
      ( ( ( SV1 = $false )
        = $true )
      | ( $false = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1084]) ).

thf(1171,plain,
    ! [SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
         != ( paraco1344940915le_Det @ $false ) )
        = $false )
      | ( SV1 = $false )
      | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1085]) ).

thf(1172,plain,
    ! [SV1: $o] :
      ( ( ( SV1 != $false )
        = $false )
      | ( SV1 = $false )
      | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1085]) ).

thf(1173,plain,
    ! [SV1: $o] :
      ( ( SV1 = $false )
      | ( ( ~ ( ~ SV1
              | ~ $false ) )
        = $true )
      | ( ( SV1 = $false )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1086]) ).

thf(1174,plain,
    ! [SV1: $o] :
      ( ( $false = $false )
      | ( ( ~ ( ~ SV1
              | ~ $false ) )
        = $true )
      | ( ( SV1 = $false )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1086]) ).

thf(1175,plain,
    ! [SV21: $o] :
      ( ( ( ~ $true
          | ~ SV21 )
        = $false )
      | ( $true = $false )
      | ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1344940915le_Det @ SV21 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1087]) ).

thf(1176,plain,
    ! [SV21: $o] :
      ( ( ( ~ $true
          | ~ SV21 )
        = $false )
      | ( SV21 = $false )
      | ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1344940915le_Det @ SV21 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1088]) ).

thf(1177,plain,
    ! [SV21: $o] :
      ( ( ( ~ ( $true
              | SV21 )
          | ~ ( ~ $true
              | ~ SV21 ) )
        = $true )
      | ( SV21 = $true )
      | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1090]) ).

thf(1178,plain,
    ! [SV21: $o] :
      ( ( ( $true = SV21 )
        = $true )
      | ( SV21 = $true )
      | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1090]) ).

thf(1179,plain,
    ! [SV21: $o] :
      ( ( ( ( paraco1344940915le_Det @ $true )
         != ( paraco1344940915le_Det @ SV21 ) )
        = $false )
      | ( $true = $false )
      | ( SV21 = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1091]) ).

thf(1180,plain,
    ! [SV21: $o] :
      ( ( ( $true != SV21 )
        = $false )
      | ( $true = $false )
      | ( SV21 = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1091]) ).

thf(1181,plain,
    ! [SV21: $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ $true
              | ~ SV21 ) )
        = $true )
      | ( ( $true = SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1092]) ).

thf(1182,plain,
    ! [SV21: $o] :
      ( ( SV21 = $false )
      | ( ( ~ ( ~ $true
              | ~ SV21 ) )
        = $true )
      | ( ( $true = SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1092]) ).

thf(1183,plain,
    ( ( ( ~ $true
        | ~ $true )
      = $false )
    | ( $true = $false )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1093]) ).

thf(1184,plain,
    ( ( ( ~ $true
        | ~ $true )
      = $false )
    | ( $true = $false )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1094]) ).

thf(1185,plain,
    ( ( ( ~ ( $true
            | $true )
        | ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( $true = $true )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1096]) ).

thf(1186,plain,
    ( ( ( $true = $true )
      = $true )
    | ( $true = $true )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1096]) ).

thf(1187,plain,
    ( ( ( ( paraco1344940915le_Det @ $true )
       != ( paraco1344940915le_Det @ $true ) )
      = $false )
    | ( $true = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1097]) ).

thf(1188,plain,
    ( ( ( $true != $true )
      = $false )
    | ( $true = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1097]) ).

thf(1189,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( ( $true = $true )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1098]) ).

thf(1190,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( ( $true = $true )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1098]) ).

thf(1191,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $true = $false )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1099]) ).

thf(1192,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1100]) ).

thf(1193,plain,
    ( ( ( ~ ( $true
            | $false )
        | ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $false = $true )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1102]) ).

thf(1194,plain,
    ( ( ( $true = $false )
      = $true )
    | ( $false = $true )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1102]) ).

thf(1195,plain,
    ( ( ( ( paraco1344940915le_Det @ $true )
       != ( paraco1344940915le_Det @ $false ) )
      = $false )
    | ( $true = $false )
    | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1103]) ).

thf(1196,plain,
    ( ( ( $true != $false )
      = $false )
    | ( $true = $false )
    | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1103]) ).

thf(1197,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( ( $true = $false )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1104]) ).

thf(1198,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( ( $true = $false )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1104]) ).

thf(1199,plain,
    ! [SV22: $o] :
      ( ( ( ~ $false
          | ~ SV22 )
        = $false )
      | ( $false = $false )
      | ( ( ( paraco1344940915le_Det @ $false )
          = ( paraco1344940915le_Det @ SV22 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1105]) ).

thf(1200,plain,
    ! [SV22: $o] :
      ( ( ( ~ $false
          | ~ SV22 )
        = $false )
      | ( SV22 = $false )
      | ( ( ( paraco1344940915le_Det @ $false )
          = ( paraco1344940915le_Det @ SV22 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1106]) ).

thf(1201,plain,
    ! [SV22: $o] :
      ( ( ( ~ ( $false
              | SV22 )
          | ~ ( ~ $false
              | ~ SV22 ) )
        = $true )
      | ( SV22 = $true )
      | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1108]) ).

thf(1202,plain,
    ! [SV22: $o] :
      ( ( ( $false = SV22 )
        = $true )
      | ( SV22 = $true )
      | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1108]) ).

thf(1203,plain,
    ! [SV22: $o] :
      ( ( ( ( paraco1344940915le_Det @ $false )
         != ( paraco1344940915le_Det @ SV22 ) )
        = $false )
      | ( $false = $false )
      | ( SV22 = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1109]) ).

thf(1204,plain,
    ! [SV22: $o] :
      ( ( ( $false != SV22 )
        = $false )
      | ( $false = $false )
      | ( SV22 = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1109]) ).

thf(1205,plain,
    ! [SV22: $o] :
      ( ( $false = $false )
      | ( ( ~ ( ~ $false
              | ~ SV22 ) )
        = $true )
      | ( ( $false = SV22 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1110]) ).

thf(1206,plain,
    ! [SV22: $o] :
      ( ( SV22 = $false )
      | ( ( ~ ( ~ $false
              | ~ SV22 ) )
        = $true )
      | ( ( $false = SV22 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1110]) ).

thf(1207,plain,
    ( ( ( ~ $false
        | ~ $true )
      = $false )
    | ( $false = $false )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1111]) ).

thf(1208,plain,
    ( ( ( ~ $false
        | ~ $true )
      = $false )
    | ( $true = $false )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1112]) ).

thf(1209,plain,
    ( ( ( ~ ( $false
            | $true )
        | ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( $true = $true )
    | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1114]) ).

thf(1210,plain,
    ( ( ( $false = $true )
      = $true )
    | ( $true = $true )
    | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1114]) ).

thf(1211,plain,
    ( ( ( ( paraco1344940915le_Det @ $false )
       != ( paraco1344940915le_Det @ $true ) )
      = $false )
    | ( $false = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1115]) ).

thf(1212,plain,
    ( ( ( $false != $true )
      = $false )
    | ( $false = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1115]) ).

thf(1213,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( ( $false = $true )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1116]) ).

thf(1214,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( ( $false = $true )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1116]) ).

thf(1215,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1117]) ).

thf(1216,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1118]) ).

thf(1217,plain,
    ( ( ( ~ ( $false
            | $false )
        | ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $true )
    | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1120]) ).

thf(1218,plain,
    ( ( ( $false = $false )
      = $true )
    | ( $false = $true )
    | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1120]) ).

thf(1219,plain,
    ( ( ( ( paraco1344940915le_Det @ $false )
       != ( paraco1344940915le_Det @ $false ) )
      = $false )
    | ( $false = $false )
    | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1121]) ).

thf(1220,plain,
    ( ( ( $false != $false )
      = $false )
    | ( $false = $false )
    | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1121]) ).

thf(1221,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( ( $false = $false )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1122]) ).

thf(1222,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( ( $false = $false )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1122]) ).

thf(1223,plain,
    ! [SV10: $o] :
      ( ( ( ~ SV10
          | ~ $false )
        = $false )
      | ( SV10 = $false )
      | ( SV10 = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1123]) ).

thf(1224,plain,
    ! [SV10: $o] :
      ( ( ( ~ SV10
          | ~ $false )
        = $false )
      | ( $false = $false )
      | ( SV10 = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1124]) ).

thf(1225,plain,
    ! [SV10: $o] :
      ( ( ( ~ SV10
          | ~ $false )
        = $false )
      | ( SV10 = $false )
      | ( SV10 = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1125]) ).

thf(1226,plain,
    ! [SV10: $o] :
      ( ( ( ~ SV10
          | ~ $false )
        = $false )
      | ( $false = $false )
      | ( SV10 = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1126]) ).

thf(1227,plain,
    ! [SV10: $o] :
      ( ( ( ~ SV10
          | ~ $false )
        = $false )
      | ( SV10 = $false )
      | ( $true = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1127]) ).

thf(1228,plain,
    ! [SV10: $o] :
      ( ( ( ~ SV10
          | ~ $false )
        = $false )
      | ( $false = $false )
      | ( $true = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1128]) ).

thf(1229,plain,
    ! [SV10: $o] :
      ( ( ( ~ SV10
          | ~ $false )
        = $false )
      | ( SV10 = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1129]) ).

thf(1230,plain,
    ! [SV10: $o] :
      ( ( ( ~ SV10
          | ~ $false )
        = $false )
      | ( $false = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1130]) ).

thf(1231,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1131]) ).

thf(1232,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1132]) ).

thf(1233,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1133]) ).

thf(1234,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1134]) ).

thf(1235,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1135]) ).

thf(1236,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1136]) ).

thf(1237,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1137]) ).

thf(1238,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1138]) ).

thf(1239,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1139]) ).

thf(1240,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1140]) ).

thf(1241,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1141]) ).

thf(1242,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1142]) ).

thf(1243,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1143]) ).

thf(1244,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1144]) ).

thf(1245,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1145]) ).

thf(1246,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1146]) ).

thf(1247,plain,
    ! [SV31: paraco1604210848lle_fm,SV13: list_char > paraco1605129243lle_tv] :
      ( ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
          = ( paraco1344940915le_Det @ $true ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ SV31 ) )
          = ( paraco1325918602e_eval @ SV13 @ SV31 ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV13 @ SV31 )
          = ( paraco1344940915le_Det @ $false ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1148]) ).

thf(1248,plain,
    ! [SV45: paraco1604210848lle_fm,SV37: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false )
      | ( ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
          = ( paraco1325918602e_eval @ SV18 @ SV45 ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1325918602e_eval @ SV18 @ SV45 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1149]) ).

thf(1249,plain,
    ! [SV45: paraco1604210848lle_fm,SV37: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
         != ( paraco1344940915le_Det @ $true ) )
        = $false )
      | ( ( ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
                   != ( paraco1344940915le_Det @ $true ) )
                  | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                    = ( paraco1325918602e_eval @ SV18 @ SV37 ) ) )
              | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
                       != ( paraco1344940915le_Det @ $true ) ) )
                  | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                    = ( paraco1344940915le_Det @ $false ) ) ) ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1325918602e_eval @ SV18 @ SV45 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1150]) ).

thf(1250,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ~ SV1 ) = $false )
      | ( SV1 = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ SV20 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1151]) ).

thf(1251,plain,
    ! [SV1: $o,SV20: $o] :
      ( ( ( ~ SV20 ) = $false )
      | ( SV1 = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ SV20 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1151]) ).

thf(1252,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ~ SV1 ) = $false )
      | ( SV20 = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ SV20 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1152]) ).

thf(1253,plain,
    ! [SV1: $o,SV20: $o] :
      ( ( ( ~ SV20 ) = $false )
      | ( SV20 = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ SV20 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1152]) ).

thf(1254,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ~ ( SV1
              | SV20 ) )
        = $true )
      | ( ( ~ ( ~ SV1
              | ~ SV20 ) )
        = $true )
      | ( SV20 = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1153]) ).

thf(1255,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ SV20 ) )
        = $true )
      | ( SV1 = $false )
      | ( SV20 = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1155]) ).

thf(1256,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( SV1 = SV20 )
        = $true )
      | ( SV1 = $false )
      | ( SV20 = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1156]) ).

thf(1257,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ~ SV1
          | ~ SV20 )
        = $false )
      | ( SV1 = $false )
      | ( ( SV1 = SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1157]) ).

thf(1258,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ~ SV1
          | ~ SV20 )
        = $false )
      | ( SV20 = $false )
      | ( ( SV1 = SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1158]) ).

thf(1259,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1 ) = $false )
      | ( SV1 = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1159]) ).

thf(1260,plain,
    ! [SV1: $o] :
      ( ( ( ~ $true ) = $false )
      | ( SV1 = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1159]) ).

thf(1261,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1 ) = $false )
      | ( $true = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1160]) ).

thf(1262,plain,
    ! [SV1: $o] :
      ( ( ( ~ $true ) = $false )
      | ( $true = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1160]) ).

thf(1263,plain,
    ! [SV1: $o] :
      ( ( ( ~ ( SV1
              | $true ) )
        = $true )
      | ( ( ~ ( ~ SV1
              | ~ $true ) )
        = $true )
      | ( $true = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1161]) ).

thf(1264,plain,
    ! [SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $true ) )
        = $true )
      | ( SV1 = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1163]) ).

thf(1265,plain,
    ! [SV1: $o] :
      ( ( ( SV1 = $true )
        = $true )
      | ( SV1 = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1164]) ).

thf(1266,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1
          | ~ $true )
        = $false )
      | ( SV1 = $false )
      | ( ( SV1 = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1165]) ).

thf(1267,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV1 = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1166]) ).

thf(1268,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1 ) = $false )
      | ( SV1 = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $false ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1167]) ).

thf(1269,plain,
    ! [SV1: $o] :
      ( ( ( ~ $false ) = $false )
      | ( SV1 = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $false ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1167]) ).

thf(1270,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1 ) = $false )
      | ( $false = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $false ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1168]) ).

thf(1271,plain,
    ! [SV1: $o] :
      ( ( ( ~ $false ) = $false )
      | ( $false = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $false ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1168]) ).

thf(1272,plain,
    ! [SV1: $o] :
      ( ( ( ~ ( SV1
              | $false ) )
        = $true )
      | ( ( ~ ( ~ SV1
              | ~ $false ) )
        = $true )
      | ( $false = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1169]) ).

thf(1273,plain,
    ! [SV1: $o] :
      ( ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $false ) )
        = $true )
      | ( SV1 = $false )
      | ( $false = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1171]) ).

thf(1274,plain,
    ! [SV1: $o] :
      ( ( ( SV1 = $false )
        = $true )
      | ( SV1 = $false )
      | ( $false = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1172]) ).

thf(1275,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1
          | ~ $false )
        = $false )
      | ( SV1 = $false )
      | ( ( SV1 = $false )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1173]) ).

thf(1276,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1
          | ~ $false )
        = $false )
      | ( $false = $false )
      | ( ( SV1 = $false )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1174]) ).

thf(1277,plain,
    ! [SV21: $o] :
      ( ( ( ~ $true ) = $false )
      | ( $true = $false )
      | ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1344940915le_Det @ SV21 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1175]) ).

thf(1278,plain,
    ! [SV21: $o] :
      ( ( ( ~ SV21 ) = $false )
      | ( $true = $false )
      | ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1344940915le_Det @ SV21 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1175]) ).

thf(1279,plain,
    ! [SV21: $o] :
      ( ( ( ~ $true ) = $false )
      | ( SV21 = $false )
      | ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1344940915le_Det @ SV21 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1176]) ).

thf(1280,plain,
    ! [SV21: $o] :
      ( ( ( ~ SV21 ) = $false )
      | ( SV21 = $false )
      | ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1344940915le_Det @ SV21 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1176]) ).

thf(1281,plain,
    ! [SV21: $o] :
      ( ( ( ~ ( $true
              | SV21 ) )
        = $true )
      | ( ( ~ ( ~ $true
              | ~ SV21 ) )
        = $true )
      | ( SV21 = $true )
      | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1177]) ).

thf(1282,plain,
    ! [SV21: $o] :
      ( ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1344940915le_Det @ SV21 ) )
        = $true )
      | ( $true = $false )
      | ( SV21 = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1179]) ).

thf(1283,plain,
    ! [SV21: $o] :
      ( ( ( $true = SV21 )
        = $true )
      | ( $true = $false )
      | ( SV21 = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1180]) ).

thf(1284,plain,
    ! [SV21: $o] :
      ( ( ( ~ $true
          | ~ SV21 )
        = $false )
      | ( $true = $false )
      | ( ( $true = SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1181]) ).

thf(1285,plain,
    ! [SV21: $o] :
      ( ( ( ~ $true
          | ~ SV21 )
        = $false )
      | ( SV21 = $false )
      | ( ( $true = SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1182]) ).

thf(1286,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1183]) ).

thf(1287,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1183]) ).

thf(1288,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1184]) ).

thf(1289,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1184]) ).

thf(1290,plain,
    ( ( ( ~ ( $true
            | $true ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( $true = $true )
    | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1185]) ).

thf(1291,plain,
    ( ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $true ) )
      = $true )
    | ( $true = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1187]) ).

thf(1292,plain,
    ( ( ( $true = $true )
      = $true )
    | ( $true = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1188]) ).

thf(1293,plain,
    ( ( ( ~ $true
        | ~ $true )
      = $false )
    | ( $true = $false )
    | ( ( $true = $true )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1189]) ).

thf(1294,plain,
    ( ( ( ~ $true
        | ~ $true )
      = $false )
    | ( $true = $false )
    | ( ( $true = $true )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1190]) ).

thf(1295,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1191]) ).

thf(1296,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1191]) ).

thf(1297,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1192]) ).

thf(1298,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1192]) ).

thf(1299,plain,
    ( ( ( ~ ( $true
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $false = $true )
    | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1193]) ).

thf(1300,plain,
    ( ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $false ) )
      = $true )
    | ( $true = $false )
    | ( $false = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1195]) ).

thf(1301,plain,
    ( ( ( $true = $false )
      = $true )
    | ( $true = $false )
    | ( $false = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1196]) ).

thf(1302,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $true = $false )
    | ( ( $true = $false )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1197]) ).

thf(1303,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( ( $true = $false )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1198]) ).

thf(1304,plain,
    ! [SV22: $o] :
      ( ( ( ~ $false ) = $false )
      | ( $false = $false )
      | ( ( ( paraco1344940915le_Det @ $false )
          = ( paraco1344940915le_Det @ SV22 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1199]) ).

thf(1305,plain,
    ! [SV22: $o] :
      ( ( ( ~ SV22 ) = $false )
      | ( $false = $false )
      | ( ( ( paraco1344940915le_Det @ $false )
          = ( paraco1344940915le_Det @ SV22 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1199]) ).

thf(1306,plain,
    ! [SV22: $o] :
      ( ( ( ~ $false ) = $false )
      | ( SV22 = $false )
      | ( ( ( paraco1344940915le_Det @ $false )
          = ( paraco1344940915le_Det @ SV22 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1200]) ).

thf(1307,plain,
    ! [SV22: $o] :
      ( ( ( ~ SV22 ) = $false )
      | ( SV22 = $false )
      | ( ( ( paraco1344940915le_Det @ $false )
          = ( paraco1344940915le_Det @ SV22 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1200]) ).

thf(1308,plain,
    ! [SV22: $o] :
      ( ( ( ~ ( $false
              | SV22 ) )
        = $true )
      | ( ( ~ ( ~ $false
              | ~ SV22 ) )
        = $true )
      | ( SV22 = $true )
      | ( $false = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1201]) ).

thf(1309,plain,
    ! [SV22: $o] :
      ( ( ( ( paraco1344940915le_Det @ $false )
          = ( paraco1344940915le_Det @ SV22 ) )
        = $true )
      | ( $false = $false )
      | ( SV22 = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1203]) ).

thf(1310,plain,
    ! [SV22: $o] :
      ( ( ( $false = SV22 )
        = $true )
      | ( $false = $false )
      | ( SV22 = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1204]) ).

thf(1311,plain,
    ! [SV22: $o] :
      ( ( ( ~ $false
          | ~ SV22 )
        = $false )
      | ( $false = $false )
      | ( ( $false = SV22 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1205]) ).

thf(1312,plain,
    ! [SV22: $o] :
      ( ( ( ~ $false
          | ~ SV22 )
        = $false )
      | ( SV22 = $false )
      | ( ( $false = SV22 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1206]) ).

thf(1313,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1207]) ).

thf(1314,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1207]) ).

thf(1315,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1208]) ).

thf(1316,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1208]) ).

thf(1317,plain,
    ( ( ( ~ ( $false
            | $true ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( $true = $true )
    | ( $false = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1209]) ).

thf(1318,plain,
    ( ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $true ) )
      = $true )
    | ( $false = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1211]) ).

thf(1319,plain,
    ( ( ( $false = $true )
      = $true )
    | ( $false = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1212]) ).

thf(1320,plain,
    ( ( ( ~ $false
        | ~ $true )
      = $false )
    | ( $false = $false )
    | ( ( $false = $true )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1213]) ).

thf(1321,plain,
    ( ( ( ~ $false
        | ~ $true )
      = $false )
    | ( $true = $false )
    | ( ( $false = $true )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1214]) ).

thf(1322,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1215]) ).

thf(1323,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1215]) ).

thf(1324,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1216]) ).

thf(1325,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1216]) ).

thf(1326,plain,
    ( ( ( ~ ( $false
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $true )
    | ( $false = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1217]) ).

thf(1327,plain,
    ( ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $false ) )
      = $true )
    | ( $false = $false )
    | ( $false = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1219]) ).

thf(1328,plain,
    ( ( ( $false = $false )
      = $true )
    | ( $false = $false )
    | ( $false = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1220]) ).

thf(1329,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( ( $false = $false )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1221]) ).

thf(1330,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( ( $false = $false )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1222]) ).

thf(1331,plain,
    ! [SV10: $o] :
      ( ( ( ~ SV10 ) = $false )
      | ( SV10 = $false )
      | ( SV10 = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1223]) ).

thf(1332,plain,
    ! [SV10: $o] :
      ( ( ( ~ $false ) = $false )
      | ( SV10 = $false )
      | ( SV10 = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1223]) ).

thf(1333,plain,
    ! [SV10: $o] :
      ( ( ( ~ SV10 ) = $false )
      | ( $false = $false )
      | ( SV10 = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1224]) ).

thf(1334,plain,
    ! [SV10: $o] :
      ( ( ( ~ $false ) = $false )
      | ( $false = $false )
      | ( SV10 = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1224]) ).

thf(1335,plain,
    ! [SV10: $o] :
      ( ( ( ~ SV10 ) = $false )
      | ( SV10 = $false )
      | ( SV10 = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1225]) ).

thf(1336,plain,
    ! [SV10: $o] :
      ( ( ( ~ $false ) = $false )
      | ( SV10 = $false )
      | ( SV10 = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1225]) ).

thf(1337,plain,
    ! [SV10: $o] :
      ( ( ( ~ SV10 ) = $false )
      | ( $false = $false )
      | ( SV10 = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1226]) ).

thf(1338,plain,
    ! [SV10: $o] :
      ( ( ( ~ $false ) = $false )
      | ( $false = $false )
      | ( SV10 = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1226]) ).

thf(1339,plain,
    ! [SV10: $o] :
      ( ( ( ~ SV10 ) = $false )
      | ( SV10 = $false )
      | ( $true = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1227]) ).

thf(1340,plain,
    ! [SV10: $o] :
      ( ( ( ~ $false ) = $false )
      | ( SV10 = $false )
      | ( $true = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1227]) ).

thf(1341,plain,
    ! [SV10: $o] :
      ( ( ( ~ SV10 ) = $false )
      | ( $false = $false )
      | ( $true = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1228]) ).

thf(1342,plain,
    ! [SV10: $o] :
      ( ( ( ~ $false ) = $false )
      | ( $false = $false )
      | ( $true = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1228]) ).

thf(1343,plain,
    ! [SV10: $o] :
      ( ( ( ~ SV10 ) = $false )
      | ( SV10 = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1229]) ).

thf(1344,plain,
    ! [SV10: $o] :
      ( ( ( ~ $false ) = $false )
      | ( SV10 = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1229]) ).

thf(1345,plain,
    ! [SV10: $o] :
      ( ( ( ~ SV10 ) = $false )
      | ( $false = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1230]) ).

thf(1346,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1230]) ).

thf(1347,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1231]) ).

thf(1348,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1231]) ).

thf(1349,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1232]) ).

thf(1350,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1232]) ).

thf(1351,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1233]) ).

thf(1352,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1233]) ).

thf(1353,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1234]) ).

thf(1354,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1234]) ).

thf(1355,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1235]) ).

thf(1356,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1235]) ).

thf(1357,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1236]) ).

thf(1358,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1236]) ).

thf(1359,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1237]) ).

thf(1360,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1237]) ).

thf(1361,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1238]) ).

thf(1362,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1238]) ).

thf(1363,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1239]) ).

thf(1364,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1239]) ).

thf(1365,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1240]) ).

thf(1366,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1240]) ).

thf(1367,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1241]) ).

thf(1368,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1241]) ).

thf(1369,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1242]) ).

thf(1370,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1242]) ).

thf(1371,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1243]) ).

thf(1372,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1243]) ).

thf(1373,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1244]) ).

thf(1374,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1244]) ).

thf(1375,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1245]) ).

thf(1376,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1245]) ).

thf(1377,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1246]) ).

thf(1378,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1246]) ).

thf(1379,plain,
    ! [SV45: paraco1604210848lle_fm,SV37: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1344940915le_Det @ $true ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
                   != ( paraco1344940915le_Det @ $true ) )
                  | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                    = ( paraco1325918602e_eval @ SV18 @ SV37 ) ) )
              | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
                       != ( paraco1344940915le_Det @ $true ) ) )
                  | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                    = ( paraco1344940915le_Det @ $false ) ) ) ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1325918602e_eval @ SV18 @ SV45 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1249]) ).

thf(1380,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( SV1 = $true )
      | ( SV1 = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ SV20 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1250]) ).

thf(1381,plain,
    ! [SV1: $o,SV20: $o] :
      ( ( SV20 = $true )
      | ( SV1 = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ SV20 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1251]) ).

thf(1382,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( SV1 = $true )
      | ( SV20 = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ SV20 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1252]) ).

thf(1383,plain,
    ! [SV1: $o,SV20: $o] :
      ( ( SV20 = $true )
      | ( SV20 = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ SV20 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1253]) ).

thf(1384,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( SV1
          | SV20 )
        = $false )
      | ( ( ~ ( ~ SV1
              | ~ SV20 ) )
        = $true )
      | ( SV20 = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1254]) ).

thf(1385,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ~ ( SV1
              | SV20 )
          | ~ ( ~ SV1
              | ~ SV20 ) )
        = $true )
      | ( SV1 = $false )
      | ( SV20 = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1256]) ).

thf(1386,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( SV1 = SV20 )
        = $true )
      | ( SV1 = $false )
      | ( SV20 = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1256]) ).

thf(1387,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ~ SV1 ) = $false )
      | ( SV1 = $false )
      | ( ( SV1 = SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1257]) ).

thf(1388,plain,
    ! [SV1: $o,SV20: $o] :
      ( ( ( ~ SV20 ) = $false )
      | ( SV1 = $false )
      | ( ( SV1 = SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1257]) ).

thf(1389,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ~ SV1 ) = $false )
      | ( SV20 = $false )
      | ( ( SV1 = SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1258]) ).

thf(1390,plain,
    ! [SV1: $o,SV20: $o] :
      ( ( ( ~ SV20 ) = $false )
      | ( SV20 = $false )
      | ( ( SV1 = SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1258]) ).

thf(1391,plain,
    ! [SV1: $o] :
      ( ( SV1 = $true )
      | ( SV1 = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1259]) ).

thf(1392,plain,
    ! [SV1: $o] :
      ( ( $true = $true )
      | ( SV1 = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1260]) ).

thf(1393,plain,
    ! [SV1: $o] :
      ( ( SV1 = $true )
      | ( $true = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1261]) ).

thf(1394,plain,
    ! [SV1: $o] :
      ( ( $true = $true )
      | ( $true = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1262]) ).

thf(1395,plain,
    ! [SV1: $o] :
      ( ( ( SV1
          | $true )
        = $false )
      | ( ( ~ ( ~ SV1
              | ~ $true ) )
        = $true )
      | ( $true = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1263]) ).

thf(1396,plain,
    ! [SV1: $o] :
      ( ( ( ~ ( SV1
              | $true )
          | ~ ( ~ SV1
              | ~ $true ) )
        = $true )
      | ( SV1 = $false )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1265]) ).

thf(1397,plain,
    ! [SV1: $o] :
      ( ( ( SV1 = $true )
        = $true )
      | ( SV1 = $false )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1265]) ).

thf(1398,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1 ) = $false )
      | ( SV1 = $false )
      | ( ( SV1 = $true )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1266]) ).

thf(1399,plain,
    ! [SV1: $o] :
      ( ( ( ~ $true ) = $false )
      | ( SV1 = $false )
      | ( ( SV1 = $true )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1266]) ).

thf(1400,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1 ) = $false )
      | ( $true = $false )
      | ( ( SV1 = $true )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1267]) ).

thf(1401,plain,
    ! [SV1: $o] :
      ( ( ( ~ $true ) = $false )
      | ( $true = $false )
      | ( ( SV1 = $true )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1267]) ).

thf(1402,plain,
    ! [SV1: $o] :
      ( ( SV1 = $true )
      | ( SV1 = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $false ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1268]) ).

thf(1403,plain,
    ! [SV1: $o] :
      ( ( $false = $true )
      | ( SV1 = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $false ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1269]) ).

thf(1404,plain,
    ! [SV1: $o] :
      ( ( SV1 = $true )
      | ( $false = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $false ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1270]) ).

thf(1405,plain,
    ! [SV1: $o] :
      ( ( $false = $true )
      | ( $false = $false )
      | ( ( ( paraco1344940915le_Det @ SV1 )
          = ( paraco1344940915le_Det @ $false ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1271]) ).

thf(1406,plain,
    ! [SV1: $o] :
      ( ( ( SV1
          | $false )
        = $false )
      | ( ( ~ ( ~ SV1
              | ~ $false ) )
        = $true )
      | ( $false = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1272]) ).

thf(1407,plain,
    ! [SV1: $o] :
      ( ( ( ~ ( SV1
              | $false )
          | ~ ( ~ SV1
              | ~ $false ) )
        = $true )
      | ( SV1 = $false )
      | ( $false = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1274]) ).

thf(1408,plain,
    ! [SV1: $o] :
      ( ( ( SV1 = $false )
        = $true )
      | ( SV1 = $false )
      | ( $false = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1274]) ).

thf(1409,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1 ) = $false )
      | ( SV1 = $false )
      | ( ( SV1 = $false )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1275]) ).

thf(1410,plain,
    ! [SV1: $o] :
      ( ( ( ~ $false ) = $false )
      | ( SV1 = $false )
      | ( ( SV1 = $false )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1275]) ).

thf(1411,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1 ) = $false )
      | ( $false = $false )
      | ( ( SV1 = $false )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1276]) ).

thf(1412,plain,
    ! [SV1: $o] :
      ( ( ( ~ $false ) = $false )
      | ( $false = $false )
      | ( ( SV1 = $false )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1276]) ).

thf(1413,plain,
    ! [SV21: $o] :
      ( ( $true = $true )
      | ( $true = $false )
      | ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1344940915le_Det @ SV21 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1277]) ).

thf(1414,plain,
    ! [SV21: $o] :
      ( ( SV21 = $true )
      | ( $true = $false )
      | ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1344940915le_Det @ SV21 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1278]) ).

thf(1415,plain,
    ! [SV21: $o] :
      ( ( $true = $true )
      | ( SV21 = $false )
      | ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1344940915le_Det @ SV21 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1279]) ).

thf(1416,plain,
    ! [SV21: $o] :
      ( ( SV21 = $true )
      | ( SV21 = $false )
      | ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1344940915le_Det @ SV21 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1280]) ).

thf(1417,plain,
    ! [SV21: $o] :
      ( ( ( $true
          | SV21 )
        = $false )
      | ( ( ~ ( ~ $true
              | ~ SV21 ) )
        = $true )
      | ( SV21 = $true )
      | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1281]) ).

thf(1418,plain,
    ! [SV21: $o] :
      ( ( ( ~ ( $true
              | SV21 )
          | ~ ( ~ $true
              | ~ SV21 ) )
        = $true )
      | ( $true = $false )
      | ( SV21 = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1283]) ).

thf(1419,plain,
    ! [SV21: $o] :
      ( ( ( $true = SV21 )
        = $true )
      | ( $true = $false )
      | ( SV21 = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1283]) ).

thf(1420,plain,
    ! [SV21: $o] :
      ( ( ( ~ $true ) = $false )
      | ( $true = $false )
      | ( ( $true = SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1284]) ).

thf(1421,plain,
    ! [SV21: $o] :
      ( ( ( ~ SV21 ) = $false )
      | ( $true = $false )
      | ( ( $true = SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1284]) ).

thf(1422,plain,
    ! [SV21: $o] :
      ( ( ( ~ $true ) = $false )
      | ( SV21 = $false )
      | ( ( $true = SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1285]) ).

thf(1423,plain,
    ! [SV21: $o] :
      ( ( ( ~ SV21 ) = $false )
      | ( SV21 = $false )
      | ( ( $true = SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1285]) ).

thf(1424,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1286]) ).

thf(1425,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1287]) ).

thf(1426,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1288]) ).

thf(1427,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1289]) ).

thf(1428,plain,
    ( ( ( $true
        | $true )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( $true = $true )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1290]) ).

thf(1429,plain,
    ( ( ( ~ ( $true
            | $true )
        | ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( $true = $false )
    | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1292]) ).

thf(1430,plain,
    ( ( ( $true = $true )
      = $true )
    | ( $true = $false )
    | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1292]) ).

thf(1431,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( $true = $true )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1293]) ).

thf(1432,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( $true = $true )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1293]) ).

thf(1433,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( $true = $true )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1294]) ).

thf(1434,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( $true = $true )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1294]) ).

thf(1435,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1295]) ).

thf(1436,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1296]) ).

thf(1437,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1297]) ).

thf(1438,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1298]) ).

thf(1439,plain,
    ( ( ( $true
        | $false )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $false = $true )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1299]) ).

thf(1440,plain,
    ( ( ( ~ ( $true
            | $false )
        | ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $false = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1301]) ).

thf(1441,plain,
    ( ( ( $true = $false )
      = $true )
    | ( $true = $false )
    | ( $false = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1301]) ).

thf(1442,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( $true = $false )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1302]) ).

thf(1443,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( ( $true = $false )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1302]) ).

thf(1444,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( ( $true = $false )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1303]) ).

thf(1445,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( $true = $false )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1303]) ).

thf(1446,plain,
    ! [SV22: $o] :
      ( ( $false = $true )
      | ( $false = $false )
      | ( ( ( paraco1344940915le_Det @ $false )
          = ( paraco1344940915le_Det @ SV22 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1304]) ).

thf(1447,plain,
    ! [SV22: $o] :
      ( ( SV22 = $true )
      | ( $false = $false )
      | ( ( ( paraco1344940915le_Det @ $false )
          = ( paraco1344940915le_Det @ SV22 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1305]) ).

thf(1448,plain,
    ! [SV22: $o] :
      ( ( $false = $true )
      | ( SV22 = $false )
      | ( ( ( paraco1344940915le_Det @ $false )
          = ( paraco1344940915le_Det @ SV22 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1306]) ).

thf(1449,plain,
    ! [SV22: $o] :
      ( ( SV22 = $true )
      | ( SV22 = $false )
      | ( ( ( paraco1344940915le_Det @ $false )
          = ( paraco1344940915le_Det @ SV22 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1307]) ).

thf(1450,plain,
    ! [SV22: $o] :
      ( ( ( $false
          | SV22 )
        = $false )
      | ( ( ~ ( ~ $false
              | ~ SV22 ) )
        = $true )
      | ( SV22 = $true )
      | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1308]) ).

thf(1451,plain,
    ! [SV22: $o] :
      ( ( ( ~ ( $false
              | SV22 )
          | ~ ( ~ $false
              | ~ SV22 ) )
        = $true )
      | ( $false = $false )
      | ( SV22 = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1310]) ).

thf(1452,plain,
    ! [SV22: $o] :
      ( ( ( $false = SV22 )
        = $true )
      | ( $false = $false )
      | ( SV22 = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1310]) ).

thf(1453,plain,
    ! [SV22: $o] :
      ( ( ( ~ $false ) = $false )
      | ( $false = $false )
      | ( ( $false = SV22 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1311]) ).

thf(1454,plain,
    ! [SV22: $o] :
      ( ( ( ~ SV22 ) = $false )
      | ( $false = $false )
      | ( ( $false = SV22 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1311]) ).

thf(1455,plain,
    ! [SV22: $o] :
      ( ( ( ~ $false ) = $false )
      | ( SV22 = $false )
      | ( ( $false = SV22 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1312]) ).

thf(1456,plain,
    ! [SV22: $o] :
      ( ( ( ~ SV22 ) = $false )
      | ( SV22 = $false )
      | ( ( $false = SV22 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1312]) ).

thf(1457,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1313]) ).

thf(1458,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1314]) ).

thf(1459,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1315]) ).

thf(1460,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $true ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1316]) ).

thf(1461,plain,
    ( ( ( $false
        | $true )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( $true = $true )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1317]) ).

thf(1462,plain,
    ( ( ( ~ ( $false
            | $true )
        | ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( $false = $false )
    | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1319]) ).

thf(1463,plain,
    ( ( ( $false = $true )
      = $true )
    | ( $false = $false )
    | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1319]) ).

thf(1464,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( $false = $true )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1320]) ).

thf(1465,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( ( $false = $true )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1320]) ).

thf(1466,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( ( $false = $true )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1321]) ).

thf(1467,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( $false = $true )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1321]) ).

thf(1468,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1322]) ).

thf(1469,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1323]) ).

thf(1470,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1324]) ).

thf(1471,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( ( paraco1344940915le_Det @ $false )
        = ( paraco1344940915le_Det @ $false ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1325]) ).

thf(1472,plain,
    ( ( ( $false
        | $false )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $true )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1326]) ).

thf(1473,plain,
    ( ( ( ~ ( $false
            | $false )
        | ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $false = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1328]) ).

thf(1474,plain,
    ( ( ( $false = $false )
      = $true )
    | ( $false = $false )
    | ( $false = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1328]) ).

thf(1475,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( $false = $false )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1329]) ).

thf(1476,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( $false = $false )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1329]) ).

thf(1477,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( $false = $false )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1330]) ).

thf(1478,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( $false = $false )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1330]) ).

thf(1479,plain,
    ! [SV10: $o] :
      ( ( SV10 = $true )
      | ( SV10 = $false )
      | ( SV10 = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1331]) ).

thf(1480,plain,
    ! [SV10: $o] :
      ( ( $false = $true )
      | ( SV10 = $false )
      | ( SV10 = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1332]) ).

thf(1481,plain,
    ! [SV10: $o] :
      ( ( SV10 = $true )
      | ( $false = $false )
      | ( SV10 = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1333]) ).

thf(1482,plain,
    ! [SV10: $o] :
      ( ( $false = $true )
      | ( $false = $false )
      | ( SV10 = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1334]) ).

thf(1483,plain,
    ! [SV10: $o] :
      ( ( SV10 = $true )
      | ( SV10 = $false )
      | ( SV10 = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1335]) ).

thf(1484,plain,
    ! [SV10: $o] :
      ( ( $false = $true )
      | ( SV10 = $false )
      | ( SV10 = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1336]) ).

thf(1485,plain,
    ! [SV10: $o] :
      ( ( SV10 = $true )
      | ( $false = $false )
      | ( SV10 = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1337]) ).

thf(1486,plain,
    ! [SV10: $o] :
      ( ( $false = $true )
      | ( $false = $false )
      | ( SV10 = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1338]) ).

thf(1487,plain,
    ! [SV10: $o] :
      ( ( SV10 = $true )
      | ( SV10 = $false )
      | ( $true = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1339]) ).

thf(1488,plain,
    ! [SV10: $o] :
      ( ( $false = $true )
      | ( SV10 = $false )
      | ( $true = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1340]) ).

thf(1489,plain,
    ! [SV10: $o] :
      ( ( SV10 = $true )
      | ( $false = $false )
      | ( $true = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1341]) ).

thf(1490,plain,
    ! [SV10: $o] :
      ( ( $false = $true )
      | ( $false = $false )
      | ( $true = $false )
      | ( SV10 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1342]) ).

thf(1491,plain,
    ! [SV10: $o] :
      ( ( SV10 = $true )
      | ( SV10 = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1343]) ).

thf(1492,plain,
    ! [SV10: $o] :
      ( ( $false = $true )
      | ( SV10 = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1344]) ).

thf(1493,plain,
    ! [SV10: $o] :
      ( ( SV10 = $true )
      | ( $false = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1345]) ).

thf(1494,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1346]) ).

thf(1495,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1347]) ).

thf(1496,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1348]) ).

thf(1497,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1349]) ).

thf(1498,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1350]) ).

thf(1499,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1351]) ).

thf(1500,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1352]) ).

thf(1501,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1353]) ).

thf(1502,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1354]) ).

thf(1503,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1355]) ).

thf(1504,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1356]) ).

thf(1505,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1357]) ).

thf(1506,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1358]) ).

thf(1507,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1359]) ).

thf(1508,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1360]) ).

thf(1509,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1361]) ).

thf(1510,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1362]) ).

thf(1511,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1363]) ).

thf(1512,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1364]) ).

thf(1513,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1365]) ).

thf(1514,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1366]) ).

thf(1515,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1367]) ).

thf(1516,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1368]) ).

thf(1517,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1369]) ).

thf(1518,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1370]) ).

thf(1519,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1371]) ).

thf(1520,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1372]) ).

thf(1521,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1373]) ).

thf(1522,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1374]) ).

thf(1523,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1375]) ).

thf(1524,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1376]) ).

thf(1525,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1377]) ).

thf(1526,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1378]) ).

thf(1527,plain,
    ! [SV37: paraco1604210848lle_fm,SV45: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
               != ( paraco1344940915le_Det @ $true ) )
              | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                = ( paraco1325918602e_eval @ SV18 @ SV37 ) ) )
          | ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
                   != ( paraco1344940915le_Det @ $true ) ) )
              | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                = ( paraco1344940915le_Det @ $false ) ) ) )
        = $false )
      | ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1344940915le_Det @ $true ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1325918602e_eval @ SV18 @ SV45 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1379]) ).

thf(1528,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( SV1 = $false )
      | ( ( ~ ( ~ SV1
              | ~ SV20 ) )
        = $true )
      | ( SV20 = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1384]) ).

thf(1529,plain,
    ! [SV1: $o,SV20: $o] :
      ( ( SV20 = $false )
      | ( ( ~ ( ~ SV1
              | ~ SV20 ) )
        = $true )
      | ( SV20 = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1384]) ).

thf(1530,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ~ ( SV1
              | SV20 ) )
        = $true )
      | ( ( ~ ( ~ SV1
              | ~ SV20 ) )
        = $true )
      | ( SV1 = $false )
      | ( SV20 = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1385]) ).

thf(1531,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( SV1 = $true )
      | ( SV1 = $false )
      | ( ( SV1 = SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1387]) ).

thf(1532,plain,
    ! [SV1: $o,SV20: $o] :
      ( ( SV20 = $true )
      | ( SV1 = $false )
      | ( ( SV1 = SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1388]) ).

thf(1533,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( SV1 = $true )
      | ( SV20 = $false )
      | ( ( SV1 = SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1389]) ).

thf(1534,plain,
    ! [SV1: $o,SV20: $o] :
      ( ( SV20 = $true )
      | ( SV20 = $false )
      | ( ( SV1 = SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1390]) ).

thf(1535,plain,
    ! [SV1: $o] :
      ( ( SV1 = $false )
      | ( ( ~ ( ~ SV1
              | ~ $true ) )
        = $true )
      | ( $true = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1395]) ).

thf(1536,plain,
    ! [SV1: $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ SV1
              | ~ $true ) )
        = $true )
      | ( $true = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1395]) ).

thf(1537,plain,
    ! [SV1: $o] :
      ( ( ( ~ ( SV1
              | $true ) )
        = $true )
      | ( ( ~ ( ~ SV1
              | ~ $true ) )
        = $true )
      | ( SV1 = $false )
      | ( $true = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1396]) ).

thf(1538,plain,
    ! [SV1: $o] :
      ( ( SV1 = $true )
      | ( SV1 = $false )
      | ( ( SV1 = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1398]) ).

thf(1539,plain,
    ! [SV1: $o] :
      ( ( $true = $true )
      | ( SV1 = $false )
      | ( ( SV1 = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1399]) ).

thf(1540,plain,
    ! [SV1: $o] :
      ( ( SV1 = $true )
      | ( $true = $false )
      | ( ( SV1 = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1400]) ).

thf(1541,plain,
    ! [SV1: $o] :
      ( ( $true = $true )
      | ( $true = $false )
      | ( ( SV1 = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1401]) ).

thf(1542,plain,
    ! [SV1: $o] :
      ( ( SV1 = $false )
      | ( ( ~ ( ~ SV1
              | ~ $false ) )
        = $true )
      | ( $false = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1406]) ).

thf(1543,plain,
    ! [SV1: $o] :
      ( ( $false = $false )
      | ( ( ~ ( ~ SV1
              | ~ $false ) )
        = $true )
      | ( $false = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1406]) ).

thf(1544,plain,
    ! [SV1: $o] :
      ( ( ( ~ ( SV1
              | $false ) )
        = $true )
      | ( ( ~ ( ~ SV1
              | ~ $false ) )
        = $true )
      | ( SV1 = $false )
      | ( $false = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1407]) ).

thf(1545,plain,
    ! [SV1: $o] :
      ( ( SV1 = $true )
      | ( SV1 = $false )
      | ( ( SV1 = $false )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1409]) ).

thf(1546,plain,
    ! [SV1: $o] :
      ( ( $false = $true )
      | ( SV1 = $false )
      | ( ( SV1 = $false )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1410]) ).

thf(1547,plain,
    ! [SV1: $o] :
      ( ( SV1 = $true )
      | ( $false = $false )
      | ( ( SV1 = $false )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1411]) ).

thf(1548,plain,
    ! [SV1: $o] :
      ( ( $false = $true )
      | ( $false = $false )
      | ( ( SV1 = $false )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1412]) ).

thf(1549,plain,
    ! [SV21: $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ $true
              | ~ SV21 ) )
        = $true )
      | ( SV21 = $true )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1417]) ).

thf(1550,plain,
    ! [SV21: $o] :
      ( ( SV21 = $false )
      | ( ( ~ ( ~ $true
              | ~ SV21 ) )
        = $true )
      | ( SV21 = $true )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1417]) ).

thf(1551,plain,
    ! [SV21: $o] :
      ( ( ( ~ ( $true
              | SV21 ) )
        = $true )
      | ( ( ~ ( ~ $true
              | ~ SV21 ) )
        = $true )
      | ( $true = $false )
      | ( SV21 = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1418]) ).

thf(1552,plain,
    ! [SV21: $o] :
      ( ( $true = $true )
      | ( $true = $false )
      | ( ( $true = SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1420]) ).

thf(1553,plain,
    ! [SV21: $o] :
      ( ( SV21 = $true )
      | ( $true = $false )
      | ( ( $true = SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1421]) ).

thf(1554,plain,
    ! [SV21: $o] :
      ( ( $true = $true )
      | ( SV21 = $false )
      | ( ( $true = SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1422]) ).

thf(1555,plain,
    ! [SV21: $o] :
      ( ( SV21 = $true )
      | ( SV21 = $false )
      | ( ( $true = SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1423]) ).

thf(1556,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( $true = $true )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1428]) ).

thf(1557,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( $true = $true )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1428]) ).

thf(1558,plain,
    ( ( ( ~ ( $true
            | $true ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( $true = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1429]) ).

thf(1559,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( $true = $true )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1431]) ).

thf(1560,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( $true = $true )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1432]) ).

thf(1561,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( $true = $true )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1433]) ).

thf(1562,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( $true = $true )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1434]) ).

thf(1563,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $false = $true )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1439]) ).

thf(1564,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $false = $true )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1439]) ).

thf(1565,plain,
    ( ( ( ~ ( $true
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $false = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1440]) ).

thf(1566,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( $true = $false )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1442]) ).

thf(1567,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( ( $true = $false )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1443]) ).

thf(1568,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( ( $true = $false )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1444]) ).

thf(1569,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( $true = $false )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1445]) ).

thf(1570,plain,
    ! [SV22: $o] :
      ( ( $false = $false )
      | ( ( ~ ( ~ $false
              | ~ SV22 ) )
        = $true )
      | ( SV22 = $true )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1450]) ).

thf(1571,plain,
    ! [SV22: $o] :
      ( ( SV22 = $false )
      | ( ( ~ ( ~ $false
              | ~ SV22 ) )
        = $true )
      | ( SV22 = $true )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1450]) ).

thf(1572,plain,
    ! [SV22: $o] :
      ( ( ( ~ ( $false
              | SV22 ) )
        = $true )
      | ( ( ~ ( ~ $false
              | ~ SV22 ) )
        = $true )
      | ( $false = $false )
      | ( SV22 = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1451]) ).

thf(1573,plain,
    ! [SV22: $o] :
      ( ( $false = $true )
      | ( $false = $false )
      | ( ( $false = SV22 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1453]) ).

thf(1574,plain,
    ! [SV22: $o] :
      ( ( SV22 = $true )
      | ( $false = $false )
      | ( ( $false = SV22 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1454]) ).

thf(1575,plain,
    ! [SV22: $o] :
      ( ( $false = $true )
      | ( SV22 = $false )
      | ( ( $false = SV22 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1455]) ).

thf(1576,plain,
    ! [SV22: $o] :
      ( ( SV22 = $true )
      | ( SV22 = $false )
      | ( ( $false = SV22 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1456]) ).

thf(1577,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( $true = $true )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1461]) ).

thf(1578,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( $true = $true )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1461]) ).

thf(1579,plain,
    ( ( ( ~ ( $false
            | $true ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( $false = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1462]) ).

thf(1580,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( $false = $true )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1464]) ).

thf(1581,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( ( $false = $true )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1465]) ).

thf(1582,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( ( $false = $true )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1466]) ).

thf(1583,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( $false = $true )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1467]) ).

thf(1584,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $true )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1472]) ).

thf(1585,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $true )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1472]) ).

thf(1586,plain,
    ( ( ( ~ ( $false
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $false = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1473]) ).

thf(1587,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( $false = $false )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1475]) ).

thf(1588,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( $false = $false )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1476]) ).

thf(1589,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( $false = $false )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1477]) ).

thf(1590,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( $false = $false )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1478]) ).

thf(1591,plain,
    ! [SV37: paraco1604210848lle_fm,SV45: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
               != ( paraco1344940915le_Det @ $true ) )
              | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                = ( paraco1325918602e_eval @ SV18 @ SV37 ) ) ) )
        = $false )
      | ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1344940915le_Det @ $true ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1325918602e_eval @ SV18 @ SV45 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1527]) ).

thf(1592,plain,
    ! [SV37: paraco1604210848lle_fm,SV45: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ( ~ ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
                   != ( paraco1344940915le_Det @ $true ) ) )
              | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
                = ( paraco1344940915le_Det @ $false ) ) ) )
        = $false )
      | ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1344940915le_Det @ $true ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1325918602e_eval @ SV18 @ SV45 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1527]) ).

thf(1593,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ~ SV1
          | ~ SV20 )
        = $false )
      | ( SV1 = $false )
      | ( SV20 = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1528]) ).

thf(1594,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ~ SV1
          | ~ SV20 )
        = $false )
      | ( SV20 = $false )
      | ( SV20 = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1529]) ).

thf(1595,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( SV1
          | SV20 )
        = $false )
      | ( ( ~ ( ~ SV1
              | ~ SV20 ) )
        = $true )
      | ( SV1 = $false )
      | ( SV20 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1530]) ).

thf(1596,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1
          | ~ $true )
        = $false )
      | ( SV1 = $false )
      | ( $true = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1535]) ).

thf(1597,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( $true = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1536]) ).

thf(1598,plain,
    ! [SV1: $o] :
      ( ( ( SV1
          | $true )
        = $false )
      | ( ( ~ ( ~ SV1
              | ~ $true ) )
        = $true )
      | ( SV1 = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1537]) ).

thf(1599,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1
          | ~ $false )
        = $false )
      | ( SV1 = $false )
      | ( $false = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1542]) ).

thf(1600,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1
          | ~ $false )
        = $false )
      | ( $false = $false )
      | ( $false = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1543]) ).

thf(1601,plain,
    ! [SV1: $o] :
      ( ( ( SV1
          | $false )
        = $false )
      | ( ( ~ ( ~ SV1
              | ~ $false ) )
        = $true )
      | ( SV1 = $false )
      | ( $false = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1544]) ).

thf(1602,plain,
    ! [SV21: $o] :
      ( ( ( ~ $true
          | ~ SV21 )
        = $false )
      | ( $true = $false )
      | ( SV21 = $true )
      | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1549]) ).

thf(1603,plain,
    ! [SV21: $o] :
      ( ( ( ~ $true
          | ~ SV21 )
        = $false )
      | ( SV21 = $false )
      | ( SV21 = $true )
      | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1550]) ).

thf(1604,plain,
    ! [SV21: $o] :
      ( ( ( $true
          | SV21 )
        = $false )
      | ( ( ~ ( ~ $true
              | ~ SV21 ) )
        = $true )
      | ( $true = $false )
      | ( SV21 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1551]) ).

thf(1605,plain,
    ( ( ( ~ $true
        | ~ $true )
      = $false )
    | ( $true = $false )
    | ( $true = $true )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1556]) ).

thf(1606,plain,
    ( ( ( ~ $true
        | ~ $true )
      = $false )
    | ( $true = $false )
    | ( $true = $true )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1557]) ).

thf(1607,plain,
    ( ( ( $true
        | $true )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( $true = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1558]) ).

thf(1608,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $true = $false )
    | ( $false = $true )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1563]) ).

thf(1609,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $false = $true )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1564]) ).

thf(1610,plain,
    ( ( ( $true
        | $false )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $false = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1565]) ).

thf(1611,plain,
    ! [SV22: $o] :
      ( ( ( ~ $false
          | ~ SV22 )
        = $false )
      | ( $false = $false )
      | ( SV22 = $true )
      | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1570]) ).

thf(1612,plain,
    ! [SV22: $o] :
      ( ( ( ~ $false
          | ~ SV22 )
        = $false )
      | ( SV22 = $false )
      | ( SV22 = $true )
      | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1571]) ).

thf(1613,plain,
    ! [SV22: $o] :
      ( ( ( $false
          | SV22 )
        = $false )
      | ( ( ~ ( ~ $false
              | ~ SV22 ) )
        = $true )
      | ( $false = $false )
      | ( SV22 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1572]) ).

thf(1614,plain,
    ( ( ( ~ $false
        | ~ $true )
      = $false )
    | ( $false = $false )
    | ( $true = $true )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1577]) ).

thf(1615,plain,
    ( ( ( ~ $false
        | ~ $true )
      = $false )
    | ( $true = $false )
    | ( $true = $true )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1578]) ).

thf(1616,plain,
    ( ( ( $false
        | $true )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( $false = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1579]) ).

thf(1617,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $false = $true )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1584]) ).

thf(1618,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $false = $true )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1585]) ).

thf(1619,plain,
    ( ( ( $false
        | $false )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $false = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1586]) ).

thf(1620,plain,
    ! [SV37: paraco1604210848lle_fm,SV45: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
           != ( paraco1344940915le_Det @ $true ) )
          | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
            = ( paraco1325918602e_eval @ SV18 @ SV37 ) ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1344940915le_Det @ $true ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1325918602e_eval @ SV18 @ SV45 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1591]) ).

thf(1621,plain,
    ! [SV37: paraco1604210848lle_fm,SV45: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
               != ( paraco1344940915le_Det @ $true ) ) )
          | ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
            = ( paraco1344940915le_Det @ $false ) ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1344940915le_Det @ $true ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1325918602e_eval @ SV18 @ SV45 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1592]) ).

thf(1622,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ~ SV1 ) = $false )
      | ( SV1 = $false )
      | ( SV20 = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1593]) ).

thf(1623,plain,
    ! [SV1: $o,SV20: $o] :
      ( ( ( ~ SV20 ) = $false )
      | ( SV1 = $false )
      | ( SV20 = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1593]) ).

thf(1624,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ~ SV1 ) = $false )
      | ( SV20 = $false )
      | ( SV20 = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1594]) ).

thf(1625,plain,
    ! [SV1: $o,SV20: $o] :
      ( ( ( ~ SV20 ) = $false )
      | ( SV20 = $false )
      | ( SV20 = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1594]) ).

thf(1626,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( SV1 = $false )
      | ( ( ~ ( ~ SV1
              | ~ SV20 ) )
        = $true )
      | ( SV1 = $false )
      | ( SV20 = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1595]) ).

thf(1627,plain,
    ! [SV1: $o,SV20: $o] :
      ( ( SV20 = $false )
      | ( ( ~ ( ~ SV1
              | ~ SV20 ) )
        = $true )
      | ( SV1 = $false )
      | ( SV20 = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1595]) ).

thf(1628,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1 ) = $false )
      | ( SV1 = $false )
      | ( $true = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1596]) ).

thf(1629,plain,
    ! [SV1: $o] :
      ( ( ( ~ $true ) = $false )
      | ( SV1 = $false )
      | ( $true = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1596]) ).

thf(1630,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1 ) = $false )
      | ( $true = $false )
      | ( $true = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1597]) ).

thf(1631,plain,
    ! [SV1: $o] :
      ( ( ( ~ $true ) = $false )
      | ( $true = $false )
      | ( $true = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1597]) ).

thf(1632,plain,
    ! [SV1: $o] :
      ( ( SV1 = $false )
      | ( ( ~ ( ~ SV1
              | ~ $true ) )
        = $true )
      | ( SV1 = $false )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1598]) ).

thf(1633,plain,
    ! [SV1: $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ SV1
              | ~ $true ) )
        = $true )
      | ( SV1 = $false )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1598]) ).

thf(1634,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1 ) = $false )
      | ( SV1 = $false )
      | ( $false = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1599]) ).

thf(1635,plain,
    ! [SV1: $o] :
      ( ( ( ~ $false ) = $false )
      | ( SV1 = $false )
      | ( $false = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1599]) ).

thf(1636,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1 ) = $false )
      | ( $false = $false )
      | ( $false = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1600]) ).

thf(1637,plain,
    ! [SV1: $o] :
      ( ( ( ~ $false ) = $false )
      | ( $false = $false )
      | ( $false = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1600]) ).

thf(1638,plain,
    ! [SV1: $o] :
      ( ( SV1 = $false )
      | ( ( ~ ( ~ SV1
              | ~ $false ) )
        = $true )
      | ( SV1 = $false )
      | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1601]) ).

thf(1639,plain,
    ! [SV1: $o] :
      ( ( $false = $false )
      | ( ( ~ ( ~ SV1
              | ~ $false ) )
        = $true )
      | ( SV1 = $false )
      | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1601]) ).

thf(1640,plain,
    ! [SV21: $o] :
      ( ( ( ~ $true ) = $false )
      | ( $true = $false )
      | ( SV21 = $true )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1602]) ).

thf(1641,plain,
    ! [SV21: $o] :
      ( ( ( ~ SV21 ) = $false )
      | ( $true = $false )
      | ( SV21 = $true )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1602]) ).

thf(1642,plain,
    ! [SV21: $o] :
      ( ( ( ~ $true ) = $false )
      | ( SV21 = $false )
      | ( SV21 = $true )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1603]) ).

thf(1643,plain,
    ! [SV21: $o] :
      ( ( ( ~ SV21 ) = $false )
      | ( SV21 = $false )
      | ( SV21 = $true )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1603]) ).

thf(1644,plain,
    ! [SV21: $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ $true
              | ~ SV21 ) )
        = $true )
      | ( $true = $false )
      | ( SV21 = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1604]) ).

thf(1645,plain,
    ! [SV21: $o] :
      ( ( SV21 = $false )
      | ( ( ~ ( ~ $true
              | ~ SV21 ) )
        = $true )
      | ( $true = $false )
      | ( SV21 = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1604]) ).

thf(1646,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( $true = $true )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1605]) ).

thf(1647,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( $true = $true )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1605]) ).

thf(1648,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( $true = $true )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1606]) ).

thf(1649,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( $true = $true )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1606]) ).

thf(1650,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( $true = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1607]) ).

thf(1651,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( $true = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1607]) ).

thf(1652,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( $false = $true )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1608]) ).

thf(1653,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( $false = $true )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1608]) ).

thf(1654,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( $false = $true )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1609]) ).

thf(1655,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $true )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1609]) ).

thf(1656,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1610]) ).

thf(1657,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1610]) ).

thf(1658,plain,
    ! [SV22: $o] :
      ( ( ( ~ $false ) = $false )
      | ( $false = $false )
      | ( SV22 = $true )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1611]) ).

thf(1659,plain,
    ! [SV22: $o] :
      ( ( ( ~ SV22 ) = $false )
      | ( $false = $false )
      | ( SV22 = $true )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1611]) ).

thf(1660,plain,
    ! [SV22: $o] :
      ( ( ( ~ $false ) = $false )
      | ( SV22 = $false )
      | ( SV22 = $true )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1612]) ).

thf(1661,plain,
    ! [SV22: $o] :
      ( ( ( ~ SV22 ) = $false )
      | ( SV22 = $false )
      | ( SV22 = $true )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1612]) ).

thf(1662,plain,
    ! [SV22: $o] :
      ( ( $false = $false )
      | ( ( ~ ( ~ $false
              | ~ SV22 ) )
        = $true )
      | ( $false = $false )
      | ( SV22 = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1613]) ).

thf(1663,plain,
    ! [SV22: $o] :
      ( ( SV22 = $false )
      | ( ( ~ ( ~ $false
              | ~ SV22 ) )
        = $true )
      | ( $false = $false )
      | ( SV22 = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1613]) ).

thf(1664,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $true )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1614]) ).

thf(1665,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( $true = $true )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1614]) ).

thf(1666,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( $true = $true )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1615]) ).

thf(1667,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( $true = $true )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1615]) ).

thf(1668,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( $false = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1616]) ).

thf(1669,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( $false = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1616]) ).

thf(1670,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $true )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1617]) ).

thf(1671,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $true )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1617]) ).

thf(1672,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $true )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1618]) ).

thf(1673,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $true )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1618]) ).

thf(1674,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1619]) ).

thf(1675,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1619]) ).

thf(1676,plain,
    ! [SV37: paraco1604210848lle_fm,SV45: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
         != ( paraco1344940915le_Det @ $true ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
          = ( paraco1325918602e_eval @ SV18 @ SV37 ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1344940915le_Det @ $true ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1325918602e_eval @ SV18 @ SV45 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1620]) ).

thf(1677,plain,
    ! [SV37: paraco1604210848lle_fm,SV45: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ( ~ ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
               != ( paraco1344940915le_Det @ $true ) ) ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
          = ( paraco1344940915le_Det @ $false ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1344940915le_Det @ $true ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1325918602e_eval @ SV18 @ SV45 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1621]) ).

thf(1678,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( SV1 = $true )
      | ( SV1 = $false )
      | ( SV20 = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1622]) ).

thf(1679,plain,
    ! [SV1: $o,SV20: $o] :
      ( ( SV20 = $true )
      | ( SV1 = $false )
      | ( SV20 = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1623]) ).

thf(1680,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( SV1 = $true )
      | ( SV20 = $false )
      | ( SV20 = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1624]) ).

thf(1681,plain,
    ! [SV1: $o,SV20: $o] :
      ( ( SV20 = $true )
      | ( SV20 = $false )
      | ( SV20 = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1625]) ).

thf(1682,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ~ SV1
          | ~ SV20 )
        = $false )
      | ( SV1 = $false )
      | ( SV1 = $false )
      | ( SV20 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1626]) ).

thf(1683,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ~ SV1
          | ~ SV20 )
        = $false )
      | ( SV20 = $false )
      | ( SV1 = $false )
      | ( SV20 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1627]) ).

thf(1684,plain,
    ! [SV1: $o] :
      ( ( SV1 = $true )
      | ( SV1 = $false )
      | ( $true = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1628]) ).

thf(1685,plain,
    ! [SV1: $o] :
      ( ( $true = $true )
      | ( SV1 = $false )
      | ( $true = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1629]) ).

thf(1686,plain,
    ! [SV1: $o] :
      ( ( SV1 = $true )
      | ( $true = $false )
      | ( $true = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1630]) ).

thf(1687,plain,
    ! [SV1: $o] :
      ( ( $true = $true )
      | ( $true = $false )
      | ( $true = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1631]) ).

thf(1688,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1
          | ~ $true )
        = $false )
      | ( SV1 = $false )
      | ( SV1 = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1632]) ).

thf(1689,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( SV1 = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1633]) ).

thf(1690,plain,
    ! [SV1: $o] :
      ( ( SV1 = $true )
      | ( SV1 = $false )
      | ( $false = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1634]) ).

thf(1691,plain,
    ! [SV1: $o] :
      ( ( $false = $true )
      | ( SV1 = $false )
      | ( $false = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1635]) ).

thf(1692,plain,
    ! [SV1: $o] :
      ( ( SV1 = $true )
      | ( $false = $false )
      | ( $false = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1636]) ).

thf(1693,plain,
    ! [SV1: $o] :
      ( ( $false = $true )
      | ( $false = $false )
      | ( $false = $true )
      | ( SV1 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1637]) ).

thf(1694,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1
          | ~ $false )
        = $false )
      | ( SV1 = $false )
      | ( SV1 = $false )
      | ( $false = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1638]) ).

thf(1695,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1
          | ~ $false )
        = $false )
      | ( $false = $false )
      | ( SV1 = $false )
      | ( $false = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1639]) ).

thf(1696,plain,
    ! [SV21: $o] :
      ( ( $true = $true )
      | ( $true = $false )
      | ( SV21 = $true )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1640]) ).

thf(1697,plain,
    ! [SV21: $o] :
      ( ( SV21 = $true )
      | ( $true = $false )
      | ( SV21 = $true )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1641]) ).

thf(1698,plain,
    ! [SV21: $o] :
      ( ( $true = $true )
      | ( SV21 = $false )
      | ( SV21 = $true )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1642]) ).

thf(1699,plain,
    ! [SV21: $o] :
      ( ( SV21 = $true )
      | ( SV21 = $false )
      | ( SV21 = $true )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1643]) ).

thf(1700,plain,
    ! [SV21: $o] :
      ( ( ( ~ $true
          | ~ SV21 )
        = $false )
      | ( $true = $false )
      | ( $true = $false )
      | ( SV21 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1644]) ).

thf(1701,plain,
    ! [SV21: $o] :
      ( ( ( ~ $true
          | ~ SV21 )
        = $false )
      | ( SV21 = $false )
      | ( $true = $false )
      | ( SV21 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1645]) ).

thf(1702,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( $true = $true )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1646]) ).

thf(1703,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( $true = $true )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1647]) ).

thf(1704,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( $true = $true )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1648]) ).

thf(1705,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( $true = $true )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1649]) ).

thf(1706,plain,
    ( ( ( ~ $true
        | ~ $true )
      = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1650]) ).

thf(1707,plain,
    ( ( ( ~ $true
        | ~ $true )
      = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1651]) ).

thf(1708,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( $false = $true )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1652]) ).

thf(1709,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( $false = $true )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1653]) ).

thf(1710,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( $false = $true )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1654]) ).

thf(1711,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $true )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1655]) ).

thf(1712,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $false = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1656]) ).

thf(1713,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1657]) ).

thf(1714,plain,
    ! [SV22: $o] :
      ( ( $false = $true )
      | ( $false = $false )
      | ( SV22 = $true )
      | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1658]) ).

thf(1715,plain,
    ! [SV22: $o] :
      ( ( SV22 = $true )
      | ( $false = $false )
      | ( SV22 = $true )
      | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1659]) ).

thf(1716,plain,
    ! [SV22: $o] :
      ( ( $false = $true )
      | ( SV22 = $false )
      | ( SV22 = $true )
      | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1660]) ).

thf(1717,plain,
    ! [SV22: $o] :
      ( ( SV22 = $true )
      | ( SV22 = $false )
      | ( SV22 = $true )
      | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1661]) ).

thf(1718,plain,
    ! [SV22: $o] :
      ( ( ( ~ $false
          | ~ SV22 )
        = $false )
      | ( $false = $false )
      | ( $false = $false )
      | ( SV22 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1662]) ).

thf(1719,plain,
    ! [SV22: $o] :
      ( ( ( ~ $false
          | ~ SV22 )
        = $false )
      | ( SV22 = $false )
      | ( $false = $false )
      | ( SV22 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1663]) ).

thf(1720,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $true )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1664]) ).

thf(1721,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( $true = $true )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1665]) ).

thf(1722,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( $true = $true )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1666]) ).

thf(1723,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( $true = $true )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1667]) ).

thf(1724,plain,
    ( ( ( ~ $false
        | ~ $true )
      = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1668]) ).

thf(1725,plain,
    ( ( ( ~ $false
        | ~ $true )
      = $false )
    | ( $true = $false )
    | ( $false = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1669]) ).

thf(1726,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $true )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1670]) ).

thf(1727,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $true )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1671]) ).

thf(1728,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $true )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1672]) ).

thf(1729,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $true )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1673]) ).

thf(1730,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1674]) ).

thf(1731,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1675]) ).

thf(1732,plain,
    ! [SV37: paraco1604210848lle_fm,SV45: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
          = ( paraco1344940915le_Det @ $true ) )
        = $false )
      | ( ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
          = ( paraco1325918602e_eval @ SV18 @ SV37 ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1344940915le_Det @ $true ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1325918602e_eval @ SV18 @ SV45 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1676]) ).

thf(1733,plain,
    ! [SV37: paraco1604210848lle_fm,SV45: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
         != ( paraco1344940915le_Det @ $true ) )
        = $false )
      | ( ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
          = ( paraco1344940915le_Det @ $false ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1344940915le_Det @ $true ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1325918602e_eval @ SV18 @ SV45 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1677]) ).

thf(1734,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ~ SV1 ) = $false )
      | ( SV1 = $false )
      | ( SV1 = $false )
      | ( SV20 = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1682]) ).

thf(1735,plain,
    ! [SV1: $o,SV20: $o] :
      ( ( ( ~ SV20 ) = $false )
      | ( SV1 = $false )
      | ( SV1 = $false )
      | ( SV20 = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1682]) ).

thf(1736,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( ( ~ SV1 ) = $false )
      | ( SV20 = $false )
      | ( SV1 = $false )
      | ( SV20 = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1683]) ).

thf(1737,plain,
    ! [SV1: $o,SV20: $o] :
      ( ( ( ~ SV20 ) = $false )
      | ( SV20 = $false )
      | ( SV1 = $false )
      | ( SV20 = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1683]) ).

thf(1738,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1 ) = $false )
      | ( SV1 = $false )
      | ( SV1 = $false )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1688]) ).

thf(1739,plain,
    ! [SV1: $o] :
      ( ( ( ~ $true ) = $false )
      | ( SV1 = $false )
      | ( SV1 = $false )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1688]) ).

thf(1740,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1 ) = $false )
      | ( $true = $false )
      | ( SV1 = $false )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1689]) ).

thf(1741,plain,
    ! [SV1: $o] :
      ( ( ( ~ $true ) = $false )
      | ( $true = $false )
      | ( SV1 = $false )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1689]) ).

thf(1742,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1 ) = $false )
      | ( SV1 = $false )
      | ( SV1 = $false )
      | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1694]) ).

thf(1743,plain,
    ! [SV1: $o] :
      ( ( ( ~ $false ) = $false )
      | ( SV1 = $false )
      | ( SV1 = $false )
      | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1694]) ).

thf(1744,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1 ) = $false )
      | ( $false = $false )
      | ( SV1 = $false )
      | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1695]) ).

thf(1745,plain,
    ! [SV1: $o] :
      ( ( ( ~ $false ) = $false )
      | ( $false = $false )
      | ( SV1 = $false )
      | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1695]) ).

thf(1746,plain,
    ! [SV21: $o] :
      ( ( ( ~ $true ) = $false )
      | ( $true = $false )
      | ( $true = $false )
      | ( SV21 = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1700]) ).

thf(1747,plain,
    ! [SV21: $o] :
      ( ( ( ~ SV21 ) = $false )
      | ( $true = $false )
      | ( $true = $false )
      | ( SV21 = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1700]) ).

thf(1748,plain,
    ! [SV21: $o] :
      ( ( ( ~ $true ) = $false )
      | ( SV21 = $false )
      | ( $true = $false )
      | ( SV21 = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1701]) ).

thf(1749,plain,
    ! [SV21: $o] :
      ( ( ( ~ SV21 ) = $false )
      | ( SV21 = $false )
      | ( $true = $false )
      | ( SV21 = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1701]) ).

thf(1750,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1706]) ).

thf(1751,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1706]) ).

thf(1752,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1707]) ).

thf(1753,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1707]) ).

thf(1754,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1712]) ).

thf(1755,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1712]) ).

thf(1756,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1713]) ).

thf(1757,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1713]) ).

thf(1758,plain,
    ! [SV22: $o] :
      ( ( ( ~ $false ) = $false )
      | ( $false = $false )
      | ( $false = $false )
      | ( SV22 = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1718]) ).

thf(1759,plain,
    ! [SV22: $o] :
      ( ( ( ~ SV22 ) = $false )
      | ( $false = $false )
      | ( $false = $false )
      | ( SV22 = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1718]) ).

thf(1760,plain,
    ! [SV22: $o] :
      ( ( ( ~ $false ) = $false )
      | ( SV22 = $false )
      | ( $false = $false )
      | ( SV22 = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1719]) ).

thf(1761,plain,
    ! [SV22: $o] :
      ( ( ( ~ SV22 ) = $false )
      | ( SV22 = $false )
      | ( $false = $false )
      | ( SV22 = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1719]) ).

thf(1762,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1724]) ).

thf(1763,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1724]) ).

thf(1764,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( $false = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1725]) ).

thf(1765,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( $false = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1725]) ).

thf(1766,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1730]) ).

thf(1767,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1730]) ).

thf(1768,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1731]) ).

thf(1769,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1731]) ).

thf(1770,plain,
    ! [SV37: paraco1604210848lle_fm,SV45: paraco1604210848lle_fm,SV18: list_char > paraco1605129243lle_tv] :
      ( ( ( ( paraco1325918602e_eval @ SV18 @ SV45 )
          = ( paraco1344940915le_Det @ $true ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV18 @ ( paraco69239110le_Con @ SV37 @ SV45 ) )
          = ( paraco1344940915le_Det @ $false ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1344940915le_Det @ $true ) )
        = $true )
      | ( ( ( paraco1325918602e_eval @ SV18 @ SV37 )
          = ( paraco1325918602e_eval @ SV18 @ SV45 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1733]) ).

thf(1771,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( SV1 = $true )
      | ( SV1 = $false )
      | ( SV1 = $false )
      | ( SV20 = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1734]) ).

thf(1772,plain,
    ! [SV1: $o,SV20: $o] :
      ( ( SV20 = $true )
      | ( SV1 = $false )
      | ( SV1 = $false )
      | ( SV20 = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1735]) ).

thf(1773,plain,
    ! [SV20: $o,SV1: $o] :
      ( ( SV1 = $true )
      | ( SV20 = $false )
      | ( SV1 = $false )
      | ( SV20 = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1736]) ).

thf(1774,plain,
    ! [SV1: $o,SV20: $o] :
      ( ( SV20 = $true )
      | ( SV20 = $false )
      | ( SV1 = $false )
      | ( SV20 = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1737]) ).

thf(1775,plain,
    ! [SV1: $o] :
      ( ( SV1 = $true )
      | ( SV1 = $false )
      | ( SV1 = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1738]) ).

thf(1776,plain,
    ! [SV1: $o] :
      ( ( $true = $true )
      | ( SV1 = $false )
      | ( SV1 = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1739]) ).

thf(1777,plain,
    ! [SV1: $o] :
      ( ( SV1 = $true )
      | ( $true = $false )
      | ( SV1 = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1740]) ).

thf(1778,plain,
    ! [SV1: $o] :
      ( ( $true = $true )
      | ( $true = $false )
      | ( SV1 = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1741]) ).

thf(1779,plain,
    ! [SV1: $o] :
      ( ( SV1 = $true )
      | ( SV1 = $false )
      | ( SV1 = $false )
      | ( $false = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1742]) ).

thf(1780,plain,
    ! [SV1: $o] :
      ( ( $false = $true )
      | ( SV1 = $false )
      | ( SV1 = $false )
      | ( $false = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1743]) ).

thf(1781,plain,
    ! [SV1: $o] :
      ( ( SV1 = $true )
      | ( $false = $false )
      | ( SV1 = $false )
      | ( $false = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1744]) ).

thf(1782,plain,
    ! [SV1: $o] :
      ( ( $false = $true )
      | ( $false = $false )
      | ( SV1 = $false )
      | ( $false = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1745]) ).

thf(1783,plain,
    ! [SV21: $o] :
      ( ( $true = $true )
      | ( $true = $false )
      | ( $true = $false )
      | ( SV21 = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1746]) ).

thf(1784,plain,
    ! [SV21: $o] :
      ( ( SV21 = $true )
      | ( $true = $false )
      | ( $true = $false )
      | ( SV21 = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1747]) ).

thf(1785,plain,
    ! [SV21: $o] :
      ( ( $true = $true )
      | ( SV21 = $false )
      | ( $true = $false )
      | ( SV21 = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1748]) ).

thf(1786,plain,
    ! [SV21: $o] :
      ( ( SV21 = $true )
      | ( SV21 = $false )
      | ( $true = $false )
      | ( SV21 = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1749]) ).

thf(1787,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1750]) ).

thf(1788,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1751]) ).

thf(1789,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1752]) ).

thf(1790,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1753]) ).

thf(1791,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $false = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1754]) ).

thf(1792,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $false = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1755]) ).

thf(1793,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1756]) ).

thf(1794,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1757]) ).

thf(1795,plain,
    ! [SV22: $o] :
      ( ( $false = $true )
      | ( $false = $false )
      | ( $false = $false )
      | ( SV22 = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1758]) ).

thf(1796,plain,
    ! [SV22: $o] :
      ( ( SV22 = $true )
      | ( $false = $false )
      | ( $false = $false )
      | ( SV22 = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1759]) ).

thf(1797,plain,
    ! [SV22: $o] :
      ( ( $false = $true )
      | ( SV22 = $false )
      | ( $false = $false )
      | ( SV22 = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1760]) ).

thf(1798,plain,
    ! [SV22: $o] :
      ( ( SV22 = $true )
      | ( SV22 = $false )
      | ( $false = $false )
      | ( SV22 = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1761]) ).

thf(1799,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1762]) ).

thf(1800,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1763]) ).

thf(1801,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( $false = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1764]) ).

thf(1802,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( $false = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1765]) ).

thf(1803,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1766]) ).

thf(1804,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1767]) ).

thf(1805,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1768]) ).

thf(1806,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1769]) ).

thf(1807,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[387,1806,1805,1804,1803,1802,1801,1800,1799,1798,1797,1796,1795,1794,1793,1792,1791,1790,1789,1788,1787,1786,1785,1784,1783,1782,1781,1780,1779,1778,1777,1776,1775,1774,1773,1772,1771,1770,1732,1729,1728,1727,1726,1723,1722,1721,1720,1717,1716,1715,1714,1711,1710,1709,1708,1705,1704,1703,1702,1699,1698,1697,1696,1693,1692,1691,1690,1687,1686,1685,1684,1681,1680,1679,1678,1590,1589,1588,1587,1583,1582,1581,1580,1576,1575,1574,1573,1569,1568,1567,1566,1562,1561,1560,1559,1555,1554,1553,1552,1548,1547,1546,1545,1541,1540,1539,1538,1534,1533,1532,1531,1526,1525,1524,1523,1522,1521,1520,1519,1518,1517,1516,1515,1514,1513,1512,1511,1510,1509,1508,1507,1506,1505,1504,1503,1502,1501,1500,1499,1498,1497,1496,1495,1494,1493,1492,1491,1490,1489,1488,1487,1486,1485,1484,1483,1482,1481,1480,1479,1474,1471,1470,1469,1468,1463,1460,1459,1458,1457,1452,1449,1448,1447,1446,1441,1438,1437,1436,1435,1430,1427,1426,1425,1424,1419,1416,1415,1414,1413,1408,1405,1404,1403,1402,1397,1394,1393,1392,1391,1386,1383,1382,1381,1380,1327,1318,1309,1300,1291,1282,1273,1264,1255,1248,1247,1218,1210,1202,1194,1186,1178,1170,1162,1154,1147,1119,1113,1107,1101,1095,1089,1083,1077,1071,1005,990,989,984,979,974,969,964,959,954,949,940,939,938,937,936,935,933,931,929,927,926,925,924,923,921,919,917,915,914,913,912,911,909,907,905,902,901,899,896,893,890,887,884,881,878,875,872,869,866,863,860,857,854,851,848,846,843,813,807,801,795,789,783,777,771,765,759,756,755,752,749,674,608,571,551,548,545,542,526,525,524,513,511,510,509,508,507,505,503,501,499,497,495,493,491,489,487,471,466,465,464,453,452,440,435,431,430,427,389,388]) ).

thf(1808,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[1807]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP135^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.19  % Computer : n020.cluster.edu
% 0.07/0.19  % Model    : x86_64 x86_64
% 0.07/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19  % Memory   : 8046.5625MB
% 0.07/0.19  % OS       : Linux 6.8.0-71-generic
% 0.07/0.19  % CPULimit : 300
% 0.07/0.19  % WCLimit  : 300
% 0.07/0.19  % DateTime : Tue Oct  6 11:19:06 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.39/2.24  ..
% 11.39/2.24  
% 11.39/2.24   No.of.Axioms: 24
% 11.39/2.24  
% 11.39/2.24   Length.of.Defs: 0
% 11.39/2.24  
% 11.39/2.24   Contains.Choice.Funs: false
% 11.39/2.24  ......................
% 11.39/2.24  
% 11.39/2.24  ********************************
% 11.39/2.24  *   All subproblems solved!    *
% 11.39/2.24  ********************************
% 11.39/2.24  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:24,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1807,loop_count:0,foatp_calls:1,translation:fof_full)
% 11.39/2.24  
% 11.39/2.24  %**** Beginning of derivation protocol ****
% 11.39/2.24  % SZS output start CNFRefutation
% See solution above
% 2.20/2.25  
% 2.20/2.25  %**** End of derivation protocol ****
% 2.20/2.25  %**** no. of clauses in derivation: 1474 ****
% 2.20/2.25  %**** clause counter: 1807 ****
% 2.20/2.25  
% 2.20/2.25  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:24,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1807,loop_count:0,foatp_calls:1,translation:fof_full)
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