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

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : ITP191^1 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n007.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 10:24:43 AM UTC 2026

% Result   : Theorem 184.70s 31.11s
% Output   : CNFRefutation 31.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   50
%            Number of leaves      :  288
% Syntax   : Number of formulae    : 5064 (1947 unt;   0 typ;   0 def)
%            Number of atoms       : 39792 (17154 equ;   0 cnn)
%            Maximal formula atoms :   16 (   7 avg)
%            Number of connectives : 134761 (13102   ~;12156   |; 209   &;108644   @)
%                                         (   0 <=>; 650  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   5 avg)
%            Number of types       :   52 (  51 usr)
%            Number of type conns  : 1114 (1114   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  275 ( 272 usr;  20 con; 0-6 aty)
%            Number of variables   : 17419 (  13   ^;17400   !;   6   ?;17419   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_late_freeRes,type,
    late_freeRes: $tType ).

thf(tp_late_freeRes_Rep,type,
    late_freeRes_Rep: $tType ).

thf(tp_late_residual,type,
    late_residual: $tType ).

thf(tp_late_residual_Rep,type,
    late_residual_Rep: $tType ).

thf(tp_late_subject,type,
    late_subject: $tType ).

thf(tp_late_subject_Rep,type,
    late_subject_Rep: $tType ).

thf(tp_list_Late_freeRes,type,
    list_Late_freeRes: $tType ).

thf(tp_list_Late_subject,type,
    list_Late_subject: $tType ).

thf(tp_list_P227219501e_name,type,
    list_P227219501e_name: $tType ).

thf(tp_list_P431515740_pi_pi,type,
    list_P431515740_pi_pi: $tType ).

thf(tp_list_Product_unit,type,
    list_Product_unit: $tType ).

thf(tp_list_name,type,
    list_name: $tType ).

thf(tp_list_name_noption_pi,type,
    list_name_noption_pi: $tType ).

thf(tp_list_pi,type,
    list_pi: $tType ).

thf(tp_list_pi_Rep,type,
    list_pi_Rep: $tType ).

thf(tp_name,type,
    name: $tType ).

thf(tp_noption_pi,type,
    noption_pi: $tType ).

thf(tp_pi,type,
    pi: $tType ).

thf(tp_pi_Rep,type,
    pi_Rep: $tType ).

thf(tp_produc1028309998t_unit,type,
    produc1028309998t_unit: $tType ).

thf(tp_produc1141751126_pi_pi,type,
    produc1141751126_pi_pi: $tType ).

thf(tp_produc1212344719pi_Rep,type,
    produc1212344719pi_Rep: $tType ).

thf(tp_produc135724498t_name,type,
    produc135724498t_name: $tType ).

thf(tp_produc1357834675reeRes,type,
    produc1357834675reeRes: $tType ).

thf(tp_produc1359399907ubject,type,
    produc1359399907ubject: $tType ).

thf(tp_produc140253050ect_pi,type,
    produc140253050ect_pi: $tType ).

thf(tp_produc1777919905pi_Rep,type,
    produc1777919905pi_Rep: $tType ).

thf(tp_produc1998742700t_name,type,
    produc1998742700t_name: $tType ).

thf(tp_produc2052722628s_name,type,
    produc2052722628s_name: $tType ).

thf(tp_produc214645451ubject,type,
    produc214645451ubject: $tType ).

thf(tp_produc257012921pi_Rep,type,
    produc257012921pi_Rep: $tType ).

thf(tp_produc355105483reeRes,type,
    produc355105483reeRes: $tType ).

thf(tp_produc367475239e_name,type,
    produc367475239e_name: $tType ).

thf(tp_produc546891580t_unit,type,
    produc546891580t_unit: $tType ).

thf(tp_produc738223008nit_pi,type,
    produc738223008nit_pi: $tType ).

thf(tp_produc971140967t_unit,type,
    produc971140967t_unit: $tType ).

thf(tp_produc992857746Res_pi,type,
    produc992857746Res_pi: $tType ).

thf(tp_product_prod_name_pi,type,
    product_prod_name_pi: $tType ).

thf(tp_product_prod_pi_name,type,
    product_prod_pi_name: $tType ).

thf(tp_product_prod_pi_pi,type,
    product_prod_pi_pi: $tType ).

thf(tp_product_unit,type,
    product_unit: $tType ).

thf(tp_set_Late_freeRes,type,
    set_Late_freeRes: $tType ).

thf(tp_set_Late_subject,type,
    set_Late_subject: $tType ).

thf(tp_set_Pr1131282415pi_Rep,type,
    set_Pr1131282415pi_Rep: $tType ).

thf(tp_set_Pr1780909331reeRes,type,
    set_Pr1780909331reeRes: $tType ).

thf(tp_set_Pr1834926343_pi_pi,type,
    set_Pr1834926343_pi_pi: $tType ).

thf(tp_set_Pr443758855e_name,type,
    set_Pr443758855e_name: $tType ).

thf(tp_set_Pr806375235ubject,type,
    set_Pr806375235ubject: $tType ).

thf(tp_set_name,type,
    set_name: $tType ).

thf(tp_set_pi,type,
    set_pi: $tType ).

thf(tp_set_pi_Rep,type,
    set_pi_Rep: $tType ).

thf(tp_aa,type,
    aa: late_subject ).

thf(tp_ab,type,
    ab: name ).

thf(tp_abs_fun_name_pi,type,
    abs_fun_name_pi: name > pi > name > noption_pi ).

thf(tp_b,type,
    b: name ).

thf(tp_c,type,
    c: name ).

thf(tp_collec1051790738_pi_pi,type,
    collec1051790738_pi_pi: ( product_prod_pi_pi > $o ) > set_Pr1834926343_pi_pi ).

thf(tp_cons_Late_freeRes,type,
    cons_Late_freeRes: late_freeRes > list_Late_freeRes > list_Late_freeRes ).

thf(tp_cons_Late_subject,type,
    cons_Late_subject: late_subject > list_Late_subject > list_Late_subject ).

thf(tp_cons_P1213805021e_name,type,
    cons_P1213805021e_name: produc367475239e_name > list_P227219501e_name > list_P227219501e_name ).

thf(tp_cons_P749510156_pi_pi,type,
    cons_P749510156_pi_pi: produc1141751126_pi_pi > list_P431515740_pi_pi > list_P431515740_pi_pi ).

thf(tp_cons_Product_unit,type,
    cons_Product_unit: product_unit > list_Product_unit > list_Product_unit ).

thf(tp_cons_name,type,
    cons_name: name > list_name > list_name ).

thf(tp_cons_name_noption_pi,type,
    cons_name_noption_pi: ( name > noption_pi ) > list_name_noption_pi > list_name_noption_pi ).

thf(tp_cons_pi,type,
    cons_pi: pi > list_pi > list_pi ).

thf(tp_cons_pi_Rep,type,
    cons_pi_Rep: pi_Rep > list_pi_Rep > list_pi_Rep ).

thf(tp_defaul1399868459t_unit,type,
    defaul1399868459t_unit: product_unit ).

thf(tp_eqvt_Late_freeRes,type,
    eqvt_Late_freeRes: set_Pr1780909331reeRes > $o ).

thf(tp_eqvt_Late_subject,type,
    eqvt_Late_subject: set_Pr806375235ubject > $o ).

thf(tp_eqvt_name,type,
    eqvt_name: set_Pr443758855e_name > $o ).

thf(tp_eqvt_pi,type,
    eqvt_pi: set_Pr1834926343_pi_pi > $o ).

thf(tp_eqvt_pi_Rep,type,
    eqvt_pi_Rep: set_Pr1131282415pi_Rep > $o ).

thf(tp_fresh_1135477378ion_pi,type,
    fresh_1135477378ion_pi: name > list_name_noption_pi > $o ).

thf(tp_fresh_1143631827t_unit,type,
    fresh_1143631827t_unit: name > product_unit > $o ).

thf(tp_fresh_1376661020_pi_pi,type,
    fresh_1376661020_pi_pi: name > produc1141751126_pi_pi > $o ).

thf(tp_fresh_1627595501_pi_pi,type,
    fresh_1627595501_pi_pi: name > product_prod_pi_pi > $o ).

thf(tp_fresh_1641682979reeRes,type,
    fresh_1641682979reeRes: name > late_freeRes > $o ).

thf(tp_fresh_1732817625t_unit,type,
    fresh_1732817625t_unit: name > list_Product_unit > $o ).

thf(tp_fresh_1826856600t_name,type,
    fresh_1826856600t_name: name > produc135724498t_name > $o ).

thf(tp_fresh_1958133282_pi_pi,type,
    fresh_1958133282_pi_pi: name > list_P431515740_pi_pi > $o ).

thf(tp_fresh_261416607i_name,type,
    fresh_261416607i_name: name > product_prod_pi_name > $o ).

thf(tp_fresh_441084397e_name,type,
    fresh_441084397e_name: name > produc367475239e_name > $o ).

thf(tp_fresh_543891186ion_pi,type,
    fresh_543891186ion_pi: name > ( name > noption_pi ) > $o ).

thf(tp_fresh_707692390nit_pi,type,
    fresh_707692390nit_pi: name > produc738223008nit_pi > $o ).

thf(tp_fresh_717452603ubject,type,
    fresh_717452603ubject: name > late_subject > $o ).

thf(tp_fresh_81631222sidual,type,
    fresh_81631222sidual: name > late_residual > $o ).

thf(tp_fresh_90540034t_unit,type,
    fresh_90540034t_unit: name > produc546891580t_unit > $o ).

thf(tp_fresh_922791155e_name,type,
    fresh_922791155e_name: name > list_P227219501e_name > $o ).

thf(tp_fresh_93646139ame_pi,type,
    fresh_93646139ame_pi: name > product_prod_name_pi > $o ).

thf(tp_fresh_994967853t_unit,type,
    fresh_994967853t_unit: name > produc971140967t_unit > $o ).

thf(tp_fresh_997779380t_unit,type,
    fresh_997779380t_unit: name > produc1028309998t_unit > $o ).

thf(tp_fresh_name_list_name,type,
    fresh_name_list_name: name > list_name > $o ).

thf(tp_fresh_name_list_pi,type,
    fresh_name_list_pi: name > list_pi > $o ).

thf(tp_fresh_name_name,type,
    fresh_name_name: name > name > $o ).

thf(tp_fresh_name_pi,type,
    fresh_name_pi: name > pi > $o ).

thf(tp_fresh_name_pi_Rep,type,
    fresh_name_pi_Rep: name > pi_Rep > $o ).

thf(tp_if_Late_freeRes,type,
    if_Late_freeRes: $o > late_freeRes > late_freeRes > late_freeRes ).

thf(tp_if_Late_subject,type,
    if_Late_subject: $o > late_subject > late_subject > late_subject ).

thf(tp_if_name,type,
    if_name: $o > name > name > name ).

thf(tp_if_pi,type,
    if_pi: $o > pi > pi > pi ).

thf(tp_if_pi_Rep,type,
    if_pi_Rep: $o > pi_Rep > pi_Rep > pi_Rep ).

thf(tp_input,type,
    input: name > name > pi > pi ).

thf(tp_late_BoundOutputS,type,
    late_BoundOutputS: name > late_subject ).

thf(tp_late_BoundR,type,
    late_BoundR: late_subject > name > pi > late_residual ).

thf(tp_late_FreeR,type,
    late_FreeR: late_freeRes > pi > late_residual ).

thf(tp_late_InputS,type,
    late_InputS: name > late_subject ).

thf(tp_late_OutputR,type,
    late_OutputR: name > name > late_freeRes ).

thf(tp_late_TauR,type,
    late_TauR: late_freeRes ).

thf(tp_late_r347633188eR_Rep,type,
    late_r347633188eR_Rep: late_freeRes > pi > late_residual_Rep ).

thf(tp_late_transitions,type,
    late_transitions: pi > late_residual > $o ).

thf(tp_member1584979804reeRes,type,
    member1584979804reeRes: produc1357834675reeRes > set_Pr1780909331reeRes > $o ).

thf(tp_member1586545036ubject,type,
    member1586545036ubject: produc1359399907ubject > set_Pr806375235ubject > $o ).

thf(tp_member1671908408pi_Rep,type,
    member1671908408pi_Rep: produc1212344719pi_Rep > set_Pr1131282415pi_Rep > $o ).

thf(tp_member558706512_pi_pi,type,
    member558706512_pi_pi: product_prod_pi_pi > set_Pr1834926343_pi_pi > $o ).

thf(tp_member695284560e_name,type,
    member695284560e_name: produc367475239e_name > set_Pr443758855e_name > $o ).

thf(tp_member_Late_freeRes,type,
    member_Late_freeRes: late_freeRes > set_Late_freeRes > $o ).

thf(tp_member_Late_subject,type,
    member_Late_subject: late_subject > set_Late_subject > $o ).

thf(tp_member_name,type,
    member_name: name > set_name > $o ).

thf(tp_member_pi,type,
    member_pi: pi > set_pi > $o ).

thf(tp_member_pi_Rep,type,
    member_pi_Rep: pi_Rep > set_pi_Rep > $o ).

thf(tp_nil_Pr743626285e_name,type,
    nil_Pr743626285e_name: list_P227219501e_name ).

thf(tp_p,type,
    p: pi ).

thf(tp_p2,type,
    p2: pi ).

thf(tp_par,type,
    par: pi > pi > pi ).

thf(tp_perm_n1160739829e_name,type,
    perm_n1160739829e_name: list_P227219501e_name > list_P227219501e_name > list_P227219501e_name ).

thf(tp_perm_n1174226579ubject,type,
    perm_n1174226579ubject: list_P227219501e_name > produc214645451ubject > produc214645451ubject ).

thf(tp_perm_n1211707594Res_pi,type,
    perm_n1211707594Res_pi: list_P227219501e_name > produc992857746Res_pi > produc992857746Res_pi ).

thf(tp_perm_n1255502110_pi_pi,type,
    perm_n1255502110_pi_pi: list_P227219501e_name > produc1141751126_pi_pi > produc1141751126_pi_pi ).

thf(tp_perm_n1314686611reeRes,type,
    perm_n1314686611reeRes: list_P227219501e_name > produc355105483reeRes > produc355105483reeRes ).

thf(tp_perm_n1333244520reeRes,type,
    perm_n1333244520reeRes: list_P227219501e_name > ( pi > late_freeRes ) > pi > late_freeRes ).

thf(tp_perm_n1387060402ubject,type,
    perm_n1387060402ubject: list_P227219501e_name > ( name > late_subject ) > name > late_subject ).

thf(tp_perm_n1415585007_pi_pi,type,
    perm_n1415585007_pi_pi: list_P227219501e_name > product_prod_pi_pi > product_prod_pi_pi ).

thf(tp_perm_n1446290985reeRes,type,
    perm_n1446290985reeRes: list_P227219501e_name > ( late_freeRes > late_freeRes ) > late_freeRes > late_freeRes ).

thf(tp_perm_n1447856217ubject,type,
    perm_n1447856217ubject: list_P227219501e_name > ( late_subject > late_subject ) > late_subject > late_subject ).

thf(tp_perm_n1467004033pi_Rep,type,
    perm_n1467004033pi_Rep: list_P227219501e_name > produc257012921pi_Rep > produc257012921pi_Rep ).

thf(tp_perm_n1555914327reeRes,type,
    perm_n1555914327reeRes: list_P227219501e_name > set_Late_freeRes > set_Late_freeRes ).

thf(tp_perm_n1559866809ubject,type,
    perm_n1559866809ubject: list_P227219501e_name > late_subject > late_subject ).

thf(tp_perm_n1667196784ion_pi,type,
    perm_n1667196784ion_pi: list_P227219501e_name > ( name > noption_pi ) > name > noption_pi ).

thf(tp_perm_n169932155reeRes,type,
    perm_n169932155reeRes: list_P227219501e_name > produc1357834675reeRes > produc1357834675reeRes ).

thf(tp_perm_n171497387ubject,type,
    perm_n171497387ubject: list_P227219501e_name > produc1359399907ubject > produc1359399907ubject ).

thf(tp_perm_n1812647369ubject,type,
    perm_n1812647369ubject: list_P227219501e_name > list_Late_subject > list_Late_subject ).

thf(tp_perm_n1841560599reeRes,type,
    perm_n1841560599reeRes: list_P227219501e_name > ( pi_Rep > late_freeRes ) > pi_Rep > late_freeRes ).

thf(tp_perm_n190055296ubject,type,
    perm_n190055296ubject: list_P227219501e_name > ( pi > late_subject ) > pi > late_subject ).

thf(tp_perm_n1938283068es_Rep,type,
    perm_n1938283068es_Rep: list_P227219501e_name > late_freeRes_Rep > late_freeRes_Rep ).

thf(tp_perm_n1960409557t_unit,type,
    perm_n1960409557t_unit: list_P227219501e_name > product_unit > product_unit ).

thf(tp_perm_n204483300t_name,type,
    perm_n204483300t_name: list_P227219501e_name > produc1998742700t_name > produc1998742700t_name ).

thf(tp_perm_n258463228s_name,type,
    perm_n258463228s_name: list_P227219501e_name > produc2052722628s_name > produc2052722628s_name ).

thf(tp_perm_n303101761ubject,type,
    perm_n303101761ubject: list_P227219501e_name > ( late_freeRes > late_subject ) > late_freeRes > late_subject ).

thf(tp_perm_n336613537reeRes,type,
    perm_n336613537reeRes: list_P227219501e_name > late_freeRes > late_freeRes ).

thf(tp_perm_n359102898ect_pi,type,
    perm_n359102898ect_pi: list_P227219501e_name > produc140253050ect_pi > produc140253050ect_pi ).

thf(tp_perm_n382765978reeRes,type,
    perm_n382765978reeRes: list_P227219501e_name > ( name > late_freeRes ) > name > late_freeRes ).

thf(tp_perm_n412725103ubject,type,
    perm_n412725103ubject: list_P227219501e_name > set_Late_subject > set_Late_subject ).

thf(tp_perm_n414416632sidual,type,
    perm_n414416632sidual: list_P227219501e_name > late_residual > late_residual ).

thf(tp_perm_n443561793reeRes,type,
    perm_n443561793reeRes: list_P227219501e_name > ( late_subject > late_freeRes ) > late_subject > late_freeRes ).

thf(tp_perm_n675238095_pi_pi,type,
    perm_n675238095_pi_pi: list_P227219501e_name > set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi ).

thf(tp_perm_n697952036ct_Rep,type,
    perm_n697952036ct_Rep: list_P227219501e_name > late_subject_Rep > late_subject_Rep ).

thf(tp_perm_n698371375ubject,type,
    perm_n698371375ubject: list_P227219501e_name > ( pi_Rep > late_subject ) > pi_Rep > late_subject ).

thf(tp_perm_n729617823pi_Rep,type,
    perm_n729617823pi_Rep: list_P227219501e_name > list_pi_Rep > list_pi_Rep ).

thf(tp_perm_n808352945reeRes,type,
    perm_n808352945reeRes: list_P227219501e_name > list_Late_freeRes > list_Late_freeRes ).

thf(tp_perm_n840427369pi_Rep,type,
    perm_n840427369pi_Rep: list_P227219501e_name > produc1777919905pi_Rep > produc1777919905pi_Rep ).

thf(tp_perm_n890803237al_Rep,type,
    perm_n890803237al_Rep: list_P227219501e_name > late_residual_Rep > late_residual_Rep ).

thf(tp_perm_name_list_name,type,
    perm_name_list_name: list_P227219501e_name > list_name > list_name ).

thf(tp_perm_name_list_pi,type,
    perm_name_list_pi: list_P227219501e_name > list_pi > list_pi ).

thf(tp_perm_name_name,type,
    perm_name_name: list_P227219501e_name > name > name ).

thf(tp_perm_name_o,type,
    perm_name_o: list_P227219501e_name > $o > $o ).

thf(tp_perm_name_pi,type,
    perm_name_pi: list_P227219501e_name > pi > pi ).

thf(tp_perm_name_pi_Rep,type,
    perm_name_pi_Rep: list_P227219501e_name > pi_Rep > pi_Rep ).

thf(tp_perm_name_set_name,type,
    perm_name_set_name: list_P227219501e_name > set_name > set_name ).

thf(tp_perm_name_set_pi,type,
    perm_name_set_pi: list_P227219501e_name > set_pi > set_pi ).

thf(tp_perm_name_set_pi_Rep,type,
    perm_name_set_pi_Rep: list_P227219501e_name > set_pi_Rep > set_pi_Rep ).

thf(tp_pq,type,
    pq: pi ).

thf(tp_produc1076565719t_unit,type,
    produc1076565719t_unit: product_unit > product_unit > produc971140967t_unit ).

thf(tp_produc1177552196Res_pi,type,
    produc1177552196Res_pi: late_freeRes > pi > produc992857746Res_pi ).

thf(tp_produc1244821099reeRes,type,
    produc1244821099reeRes: late_freeRes > late_freeRes > produc1357834675reeRes ).

thf(tp_produc1465345179ubject,type,
    produc1465345179ubject: late_subject > late_subject > produc1359399907ubject ).

thf(tp_produc1570949143e_name,type,
    produc1570949143e_name: name > name > produc367475239e_name ).

thf(tp_produc1647375838t_name,type,
    produc1647375838t_name: late_subject > name > produc1998742700t_name ).

thf(tp_produc1701355766s_name,type,
    produc1701355766s_name: late_freeRes > name > produc2052722628s_name ).

thf(tp_produc1785453612t_unit,type,
    produc1785453612t_unit: name > product_unit > produc546891580t_unit ).

thf(tp_produc1806354576nit_pi,type,
    produc1806354576nit_pi: product_unit > pi > produc738223008nit_pi ).

thf(tp_produc1831798878t_unit,type,
    produc1831798878t_unit: pi > product_unit > produc1028309998t_unit ).

thf(tp_produc216486617pi_Rep,type,
    produc216486617pi_Rep: late_freeRes > pi_Rep > produc1777919905pi_Rep ).

thf(tp_produc235456326_pi_pi,type,
    produc235456326_pi_pi: name > product_prod_pi_pi > produc1141751126_pi_pi ).

thf(tp_produc242091907reeRes,type,
    produc242091907reeRes: late_subject > late_freeRes > produc355105483reeRes ).

thf(tp_produc320590723ubject,type,
    produc320590723ubject: late_freeRes > late_subject > produc214645451ubject ).

thf(tp_produc324947500ect_pi,type,
    produc324947500ect_pi: late_subject > pi > produc140253050ect_pi ).

thf(tp_produc421428802t_name,type,
    produc421428802t_name: product_unit > name > produc135724498t_name ).

thf(tp_produc784048711pi_Rep,type,
    produc784048711pi_Rep: pi_Rep > pi_Rep > produc1212344719pi_Rep ).

thf(tp_produc843063281pi_Rep,type,
    produc843063281pi_Rep: late_subject > pi_Rep > produc257012921pi_Rep ).

thf(tp_product_Pair_name_pi,type,
    product_Pair_name_pi: name > pi > product_prod_name_pi ).

thf(tp_product_Pair_pi_name,type,
    product_Pair_pi_name: pi > name > product_prod_pi_name ).

thf(tp_product_Pair_pi_pi,type,
    product_Pair_pi_pi: pi > pi > product_prod_pi_pi ).

thf(tp_product_Unity,type,
    product_Unity: product_unit ).

thf(tp_q,type,
    q: pi ).

thf(tp_q2,type,
    q2: pi ).

thf(tp_rel,type,
    rel: set_Pr1834926343_pi_pi ).

thf(tp_res,type,
    res: name > pi > pi ).

thf(tp_sK100_Subject2,type,
    sK100_Subject2: ( late_residual > $o ) > late_subject ).

thf(tp_sK101_SY1085,type,
    sK101_SY1085: ( late_residual > $o ) > name ).

thf(tp_sK102_SY1087,type,
    sK102_SY1087: ( late_residual > $o ) > pi ).

thf(tp_sK103_Q3,type,
    sK103_Q3: pi > name > late_subject > pi > pi > pi ).

thf(tp_sK104_SY1088,type,
    sK104_SY1088: pi > name > late_subject > pi > pi > late_subject ).

thf(tp_sK105_SY1092,type,
    sK105_SY1092: pi > name > late_subject > pi > pi > name ).

thf(tp_sK106_SY1095,type,
    sK106_SY1095: pi > name > late_subject > pi > pi > pi ).

thf(tp_sK107_SY1097,type,
    sK107_SY1097: pi > name > late_subject > pi > pi > pi ).

thf(tp_sK108_P5,type,
    sK108_P5: pi > name > late_subject > pi > pi > pi ).

thf(tp_sK109_SY1098,type,
    sK109_SY1098: pi > name > late_subject > pi > pi > late_subject ).

thf(tp_sK10_FreeRes2,type,
    sK10_FreeRes2: ( name > late_residual > $o ) > late_freeRes ).

thf(tp_sK110_SY1102,type,
    sK110_SY1102: pi > name > late_subject > pi > pi > name ).

thf(tp_sK111_SY1105,type,
    sK111_SY1105: pi > name > late_subject > pi > pi > pi ).

thf(tp_sK112_SY1107,type,
    sK112_SY1107: pi > name > late_subject > pi > pi > pi ).

thf(tp_sK113_P5,type,
    sK113_P5: pi > late_freeRes > pi > name > pi ).

thf(tp_sK114_SY1108,type,
    sK114_SY1108: pi > late_freeRes > pi > name > late_freeRes ).

thf(tp_sK115_SY1111,type,
    sK115_SY1111: pi > late_freeRes > pi > name > pi ).

thf(tp_sK116_SY1113,type,
    sK116_SY1113: pi > late_freeRes > pi > name > name ).

thf(tp_sK117_P4,type,
    sK117_P4: ( pi > $o ) > pi > late_freeRes > pi > name > pi ).

thf(tp_sK11_SY981,type,
    sK11_SY981: ( name > late_residual > $o ) > pi ).

thf(tp_sK12_SY983,type,
    sK12_SY983: ( name > late_residual > $o ) > name ).

thf(tp_sK13_Subject2,type,
    sK13_Subject2: ( name > late_residual > $o ) > late_subject ).

thf(tp_sK14_SY984,type,
    sK14_SY984: ( name > late_residual > $o ) > name ).

thf(tp_sK15_SY987,type,
    sK15_SY987: ( name > late_residual > $o ) > pi ).

thf(tp_sK16_SY989,type,
    sK16_SY989: ( name > late_residual > $o ) > name ).

thf(tp_sK17_FreeRes2,type,
    sK17_FreeRes2: ( produc1141751126_pi_pi > late_residual > $o ) > late_freeRes ).

thf(tp_sK18_SY990,type,
    sK18_SY990: ( produc1141751126_pi_pi > late_residual > $o ) > pi ).

thf(tp_sK19_SY992,type,
    sK19_SY992: ( produc1141751126_pi_pi > late_residual > $o ) > produc1141751126_pi_pi ).

thf(tp_sK1_X112,type,
    sK1_X112: late_freeRes > name ).

thf(tp_sK20_Subject2,type,
    sK20_Subject2: ( produc1141751126_pi_pi > late_residual > $o ) > late_subject ).

thf(tp_sK21_SY993,type,
    sK21_SY993: ( produc1141751126_pi_pi > late_residual > $o ) > name ).

thf(tp_sK22_SY996,type,
    sK22_SY996: ( produc1141751126_pi_pi > late_residual > $o ) > pi ).

thf(tp_sK23_SY998,type,
    sK23_SY998: ( produc1141751126_pi_pi > late_residual > $o ) > produc1141751126_pi_pi ).

thf(tp_sK24_FreeRes2,type,
    sK24_FreeRes2: ( product_unit > late_residual > $o ) > late_freeRes ).

thf(tp_sK25_SY999,type,
    sK25_SY999: ( product_unit > late_residual > $o ) > pi ).

thf(tp_sK26_SY1001,type,
    sK26_SY1001: ( product_unit > late_residual > $o ) > product_unit ).

thf(tp_sK27_Subject2,type,
    sK27_Subject2: ( product_unit > late_residual > $o ) > late_subject ).

thf(tp_sK28_SY1002,type,
    sK28_SY1002: ( product_unit > late_residual > $o ) > name ).

thf(tp_sK29_SY1005,type,
    sK29_SY1005: ( product_unit > late_residual > $o ) > pi ).

thf(tp_sK2_SY971,type,
    sK2_SY971: late_freeRes > name ).

thf(tp_sK30_SY1007,type,
    sK30_SY1007: ( product_unit > late_residual > $o ) > product_unit ).

thf(tp_sK31_FreeRes2,type,
    sK31_FreeRes2: ( pi > late_residual > $o ) > late_freeRes ).

thf(tp_sK32_SY1008,type,
    sK32_SY1008: ( pi > late_residual > $o ) > pi ).

thf(tp_sK33_SY1010,type,
    sK33_SY1010: ( pi > late_residual > $o ) > pi ).

thf(tp_sK34_Subject2,type,
    sK34_Subject2: ( pi > late_residual > $o ) > late_subject ).

thf(tp_sK35_SY1011,type,
    sK35_SY1011: ( pi > late_residual > $o ) > name ).

thf(tp_sK36_SY1014,type,
    sK36_SY1014: ( pi > late_residual > $o ) > pi ).

thf(tp_sK37_SY1016,type,
    sK37_SY1016: ( pi > late_residual > $o ) > pi ).

thf(tp_sK38_FreeRes2,type,
    sK38_FreeRes2: ( name > late_residual > $o ) > late_freeRes ).

thf(tp_sK39_SY1017,type,
    sK39_SY1017: ( name > late_residual > $o ) > pi ).

thf(tp_sK3_FreeRes2,type,
    sK3_FreeRes2: ( pi > late_residual > $o ) > late_freeRes ).

thf(tp_sK40_SY1019,type,
    sK40_SY1019: ( name > late_residual > $o ) > name ).

thf(tp_sK41_Subject2,type,
    sK41_Subject2: ( name > late_residual > $o ) > late_subject ).

thf(tp_sK42_SY1020,type,
    sK42_SY1020: ( name > late_residual > $o ) > name ).

thf(tp_sK43_SY1023,type,
    sK43_SY1023: ( name > late_residual > $o ) > pi ).

thf(tp_sK44_SY1025,type,
    sK44_SY1025: ( name > late_residual > $o ) > name ).

thf(tp_sK45_FreeRes2,type,
    sK45_FreeRes2: ( produc1141751126_pi_pi > late_residual > $o ) > late_freeRes ).

thf(tp_sK46_SY1026,type,
    sK46_SY1026: ( produc1141751126_pi_pi > late_residual > $o ) > pi ).

thf(tp_sK47_SY1028,type,
    sK47_SY1028: ( produc1141751126_pi_pi > late_residual > $o ) > produc1141751126_pi_pi ).

thf(tp_sK48_Subject2,type,
    sK48_Subject2: ( produc1141751126_pi_pi > late_residual > $o ) > late_subject ).

thf(tp_sK49_SY1029,type,
    sK49_SY1029: ( produc1141751126_pi_pi > late_residual > $o ) > name ).

thf(tp_sK4_SY972,type,
    sK4_SY972: ( pi > late_residual > $o ) > pi ).

thf(tp_sK50_SY1032,type,
    sK50_SY1032: ( produc1141751126_pi_pi > late_residual > $o ) > pi ).

thf(tp_sK51_SY1034,type,
    sK51_SY1034: ( produc1141751126_pi_pi > late_residual > $o ) > produc1141751126_pi_pi ).

thf(tp_sK52_FreeRes2,type,
    sK52_FreeRes2: ( product_unit > late_residual > $o ) > late_freeRes ).

thf(tp_sK53_SY1035,type,
    sK53_SY1035: ( product_unit > late_residual > $o ) > pi ).

thf(tp_sK54_SY1037,type,
    sK54_SY1037: ( product_unit > late_residual > $o ) > product_unit ).

thf(tp_sK55_Subject2,type,
    sK55_Subject2: ( product_unit > late_residual > $o ) > late_subject ).

thf(tp_sK56_SY1038,type,
    sK56_SY1038: ( product_unit > late_residual > $o ) > name ).

thf(tp_sK57_SY1041,type,
    sK57_SY1041: ( product_unit > late_residual > $o ) > pi ).

thf(tp_sK58_SY1043,type,
    sK58_SY1043: ( product_unit > late_residual > $o ) > product_unit ).

thf(tp_sK59_P4,type,
    sK59_P4: ( late_subject > pi > $o ) > pi > name > late_subject > pi > name > pi ).

thf(tp_sK5_SY974,type,
    sK5_SY974: ( pi > late_residual > $o ) > pi ).

thf(tp_sK60_B2,type,
    sK60_B2: ( late_subject > pi > $o ) > pi > name > late_subject > pi > name > name ).

thf(tp_sK61_SY1044,type,
    sK61_SY1044: ( late_subject > pi > $o ) > pi > name > late_subject > pi > name > pi ).

thf(tp_sK62_Name1,type,
    sK62_Name1: ( late_freeRes > $o ) > name ).

thf(tp_sK63_SY1045,type,
    sK63_SY1045: ( late_freeRes > $o ) > name ).

thf(tp_sK64_P5,type,
    sK64_P5: pi > name > late_subject > pi > name > pi ).

thf(tp_sK65_SY1046,type,
    sK65_SY1046: pi > name > late_subject > pi > name > late_subject ).

thf(tp_sK66_SY1050,type,
    sK66_SY1050: pi > name > late_subject > pi > name > name ).

thf(tp_sK67_SY1053,type,
    sK67_SY1053: pi > name > late_subject > pi > name > pi ).

thf(tp_sK68_SY1055,type,
    sK68_SY1055: pi > name > late_subject > pi > name > name ).

thf(tp_sK69_P5,type,
    sK69_P5: pi > name > late_subject > pi > name > pi ).

thf(tp_sK6_Subject2,type,
    sK6_Subject2: ( pi > late_residual > $o ) > late_subject ).

thf(tp_sK70_SY1056,type,
    sK70_SY1056: pi > name > late_subject > pi > name > name ).

thf(tp_sK71_SY1059,type,
    sK71_SY1059: pi > name > late_subject > pi > name > name ).

thf(tp_sK72_SY1061,type,
    sK72_SY1061: pi > name > late_subject > pi > name > pi ).

thf(tp_sK73_P5,type,
    sK73_P5: late_residual > pi > name > pi ).

thf(tp_sK74_SY1062,type,
    sK74_SY1062: late_residual > pi > name > late_freeRes ).

thf(tp_sK75_SY1065,type,
    sK75_SY1065: late_residual > pi > name > pi ).

thf(tp_sK76_SY1067,type,
    sK76_SY1067: late_residual > pi > name > name ).

thf(tp_sK77_P5,type,
    sK77_P5: late_residual > pi > name > pi ).

thf(tp_sK78_SY1068,type,
    sK78_SY1068: late_residual > pi > name > late_subject ).

thf(tp_sK79_SY1072,type,
    sK79_SY1072: late_residual > pi > name > name ).

thf(tp_sK7_SY975,type,
    sK7_SY975: ( pi > late_residual > $o ) > name ).

thf(tp_sK80_SY1075,type,
    sK80_SY1075: late_residual > pi > name > pi ).

thf(tp_sK81_SY1077,type,
    sK81_SY1077: late_residual > pi > name > name ).

thf(tp_sK82_P5,type,
    sK82_P5: late_residual > pi > name > pi ).

thf(tp_sK83_SY1078,type,
    sK83_SY1078: late_residual > pi > name > name ).

thf(tp_sK84_SY1081,type,
    sK84_SY1081: late_residual > pi > name > name ).

thf(tp_sK85_SY1083,type,
    sK85_SY1083: late_residual > pi > name > pi ).

thf(tp_sK86_C2,type,
    sK86_C2: pi > name ).

thf(tp_sK87_C2,type,
    sK87_C2: name > name ).

thf(tp_sK88_C2,type,
    sK88_C2: produc1141751126_pi_pi > name ).

thf(tp_sK89_C2,type,
    sK89_C2: product_unit > name ).

thf(tp_sK8_SY978,type,
    sK8_SY978: ( pi > late_residual > $o ) > pi ).

thf(tp_sK90_X22,type,
    sK90_X22: late_subject > name ).

thf(tp_sK91_X13,type,
    sK91_X13: late_subject > name ).

thf(tp_sK92_P4,type,
    sK92_P4: pi > name > late_subject > pi > set_Pr1834926343_pi_pi > pi > pi ).

thf(tp_sK93_X_1,type,
    sK93_X_1: ( list_P227219501e_name > $o ) > list_P227219501e_name ).

thf(tp_sK94_Q4,type,
    sK94_Q4: ( pi > $o ) > pi > name > late_subject > pi > pi > pi ).

thf(tp_sK95_P4,type,
    sK95_P4: ( pi > $o ) > pi > name > late_subject > pi > pi > pi ).

thf(tp_sK96_Name3,type,
    sK96_Name3: ( late_subject > $o ) > name ).

thf(tp_sK97_Name3,type,
    sK97_Name3: ( late_subject > $o ) > name ).

thf(tp_sK98_FreeRes2,type,
    sK98_FreeRes2: ( late_residual > $o ) > late_freeRes ).

thf(tp_sK99_SY1084,type,
    sK99_SY1084: ( late_residual > $o ) > pi ).

thf(tp_sK9_SY980,type,
    sK9_SY980: ( pi > late_residual > $o ) > pi ).

thf(tp_strong2129052853vative,type,
    strong2129052853vative: pi > pi > late_subject > name > set_Pr1834926343_pi_pi > $o ).

thf(tp_strong743114133lation,type,
    strong743114133lation: pi > set_Pr1834926343_pi_pi > pi > $o ).

thf(tp_subs,type,
    subs: pi > name > name > pi ).

thf(tp_swap_name,type,
    swap_name: produc367475239e_name > name > name ).

thf(tp_swap_name2,type,
    swap_name2: produc367475239e_name > name > name ).

thf(tp_x,type,
    x: name ).

thf(tp_xPQ,type,
    xPQ: pi ).

thf(tp_y,type,
    y: name ).

thf(tp_ya,type,
    ya: name ).

thf(3,axiom,
    ! [P: $o] :
      ( ( P = $true )
      | ( P = $false ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_3_1_If_001t__Late____Semantics__Osubject_T) ).

thf(10,axiom,
    ! [X: pi,Y: pi] :
      ( ( if_pi @ $true @ X @ Y )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_1_1_If_001t__Agent__Opi_T) ).

thf(11,axiom,
    ! [X: pi,Y: pi] :
      ( ( if_pi @ $false @ X @ Y )
      = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_2_1_If_001t__Agent__Opi_T) ).

thf(12,axiom,
    ! [A: name,X1: name,X2: pi] :
      ( ( fresh_name_pi @ A @ ( res @ X1 @ X2 ) )
      = ( fresh_543891186ion_pi @ A @ ( abs_fun_name_pi @ X1 @ X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_349_pi_Ofresh_I9_J) ).

thf(13,axiom,
    swap_name2 = swap_name,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_348_Agent_Oswap__name__def) ).

thf(14,axiom,
    ! [A: name,C: name,B: name] :
      ( ( ( A = C )
       => ( ( swap_name2 @ ( produc1570949143e_name @ A @ B ) @ C )
          = B ) )
      & ( ( A != C )
       => ( ( ( B = C )
           => ( ( swap_name2 @ ( produc1570949143e_name @ A @ B ) @ C )
              = A ) )
          & ( ( B != C )
           => ( ( swap_name2 @ ( produc1570949143e_name @ A @ B ) @ C )
              = C ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_347_name__calc_I3_J) ).

thf(15,axiom,
    ! [A: name,B: name,Pi: list_P227219501e_name,X: name] :
      ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ Pi ) @ X )
      = ( swap_name2 @ ( produc1570949143e_name @ A @ B ) @ ( perm_name_name @ Pi @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_346_name__calc_I1_J) ).

thf(17,axiom,
    defaul1399868459t_unit = product_Unity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_344_default__unit__def) ).

thf(18,axiom,
    ! [C: name,P: pi,A: name,X: name] :
      ( ( fresh_name_pi @ C @ P )
     => ( ( input @ A @ X @ P )
        = ( input @ A @ C @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X @ C ) @ nil_Pr743626285e_name ) @ P ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_343_alphaInput) ).

thf(19,axiom,
    ! [X: name,A: name,Y: name,P: pi,B: name,Z: name,P3: pi] :
      ~ ( late_transitions @ ( res @ X @ ( input @ A @ Y @ P ) ) @ ( late_BoundR @ ( late_BoundOutputS @ B ) @ Z @ P3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_342_resInputBoundOutputTrans) ).

thf(20,axiom,
    ! [A: name,X: name,P: pi,B: late_subject,Y: name,P3: pi] :
      ( ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ B @ Y @ P3 ) )
     => ~ ( fresh_717452603ubject @ A @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_341_inputIneqTrans) ).

thf(21,axiom,
    ! [X: name,A: name,P: pi] :
      ( ( X != A )
     => ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_340_transitions_OInput) ).

thf(22,axiom,
    ! [A: name,X: name,P: pi] : ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_339_Late__Semantics_OInput) ).

thf(23,axiom,
    ! [A: name,X: name,P: pi,B: name,Y: name,P3: pi] :
      ~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ ( late_BoundOutputS @ B ) @ Y @ P3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_338_inputBoundOutputTrans) ).

thf(24,axiom,
    ! [Y: product_unit] : ( Y = product_Unity ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_337_old_Ounit_Oexhaust) ).

thf(25,axiom,
    ! [P: product_unit > $o,Unit: product_unit] :
      ( ( P @ product_Unity )
     => ( P @ Unit ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_336_old_Ounit_Oinducts) ).

thf(26,axiom,
    ! [X: name,A: name,Y: name,P: pi,Alpha: late_freeRes,P3: pi] :
      ~ ( late_transitions @ ( res @ X @ ( input @ A @ Y @ P ) ) @ ( late_FreeR @ Alpha @ P3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_335_resInputFreeTrans) ).

thf(27,axiom,
    ! [A: name,X: name,P: pi,Alpha: late_freeRes,P3: pi] :
      ~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_FreeR @ Alpha @ P3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_334_inputFreeTrans) ).

thf(28,axiom,
    ! [X: name,Y: name,P: pi,Rs: late_residual] :
      ~ ( late_transitions @ ( res @ X @ ( input @ X @ Y @ P ) ) @ Rs ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_333_resTrans_I2_J) ).

thf(29,axiom,
    ! [Name12: name,Name23: name,Pi: pi,Pi12: pi,Pi22: pi] :
      ( ( input @ Name12 @ Name23 @ Pi )
     != ( par @ Pi12 @ Pi22 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_332_pi_Odistinct_I55_J) ).

thf(30,axiom,
    ! [Name12: name,Name23: name,Pi: pi,Name: name,Pi3: pi] :
      ( ( input @ Name12 @ Name23 @ Pi )
     != ( res @ Name @ Pi3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_331_pi_Odistinct_I57_J) ).

thf(31,axiom,
    ! [Pi: list_P227219501e_name,X32: name,X1: name,X2: pi] :
      ( ( perm_name_pi @ Pi @ ( input @ X32 @ X1 @ X2 ) )
      = ( input @ ( perm_name_name @ Pi @ X32 ) @ ( perm_name_name @ Pi @ X1 ) @ ( perm_name_pi @ Pi @ X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_330_pi_Operm_I4_J) ).

thf(32,axiom,
    ! [X21: produc367475239e_name,X222: list_P227219501e_name,Y21: produc367475239e_name,Y22: list_P227219501e_name] :
      ( ( ( cons_P1213805021e_name @ X21 @ X222 )
        = ( cons_P1213805021e_name @ Y21 @ Y22 ) )
      = ( ( X21 = Y21 )
        & ( X222 = Y22 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_329_list_Oinject) ).

thf(33,axiom,
    ! [A: name,X: name,P: pi,B: late_subject,Y: name,YP: pi,Prop: late_subject > name > pi > $o] :
      ( ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ B @ Y @ YP ) )
     => ( ( Y != A )
       => ( ( Y != X )
         => ( ( fresh_name_pi @ Y @ P )
           => ( ( ( B
                  = ( late_InputS @ A ) )
               => ( ( YP
                    = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X @ Y ) @ nil_Pr743626285e_name ) @ P ) )
                 => ( Prop @ ( late_InputS @ A ) @ Y @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X @ Y ) @ nil_Pr743626285e_name ) @ P ) ) ) )
             => ( Prop @ B @ Y @ YP ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_328_inputCases) ).

thf(34,axiom,
    ! [X1: name,X2: name] :
      ( ( late_InputS @ X1 )
     != ( late_BoundOutputS @ X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_327_Late__Semantics1_Osubject_Odistinct_I1_J) ).

thf(35,axiom,
    ! [Y: late_subject] :
      ( ! [X13: name] :
          ( Y
         != ( late_InputS @ X13 ) )
     => ~ ! [X22: name] :
            ( Y
           != ( late_BoundOutputS @ X22 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_326_subject_Oexhaust) ).

thf(36,axiom,
    ! [Y: late_freeRes] :
      ( ! [X112: name,X122: name] :
          ( Y
         != ( late_OutputR @ X112 @ X122 ) )
     => ( Y = late_TauR ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_325_freeRes_Oexhaust) ).

thf(37,axiom,
    ! [X11: name,X12: name] :
      ( ( late_OutputR @ X11 @ X12 )
     != late_TauR ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_324_Late__Semantics1_OfreeRes_Odistinct_I1_J) ).

thf(38,axiom,
    ! [X11: name,X12: name,Y11: name,Y12: name] :
      ( ( ( late_OutputR @ X11 @ X12 )
        = ( late_OutputR @ Y11 @ Y12 ) )
      = ( ( X11 = Y11 )
        & ( X12 = Y12 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_323_Late__Semantics1_OfreeRes_Oinject) ).

thf(39,axiom,
    ! [X1: name,Y1: name] :
      ( ( ( late_InputS @ X1 )
        = ( late_InputS @ Y1 ) )
      = ( X1 = Y1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_322_Late__Semantics1_Osubject_Oinject_I1_J) ).

thf(40,axiom,
    ! [X2: name,Y2: name] :
      ( ( ( late_BoundOutputS @ X2 )
        = ( late_BoundOutputS @ Y2 ) )
      = ( X2 = Y2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_321_Late__Semantics1_Osubject_Oinject_I2_J) ).

thf(43,axiom,
    ! [P: pi,Rel: set_Pr1834926343_pi_pi,Q: pi,A: late_subject,X: name,Q2: pi] :
      ( ( strong743114133lation @ P @ Rel @ Q )
     => ( ( late_transitions @ Q @ ( late_BoundR @ A @ X @ Q2 ) )
       => ( ( fresh_name_pi @ X @ P )
         => ? [P4: pi] :
              ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P4 ) )
              & ( strong2129052853vative @ P4 @ Q2 @ A @ X @ Rel ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_318_simE_I1_J) ).

thf(66,axiom,
    ! [Pi: list_P227219501e_name,X: pi,Xs: list_pi] :
      ( ( perm_name_list_pi @ Pi @ ( cons_pi @ X @ Xs ) )
      = ( cons_pi @ ( perm_name_pi @ Pi @ X ) @ ( perm_name_list_pi @ Pi @ Xs ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_295_cons__eqvt) ).

thf(71,axiom,
    ! [Pi: list_P227219501e_name,B: $o,C1: pi,C22: pi] :
      ( ( ( perm_name_o @ Pi @ B )
       => ( ( perm_name_pi @ Pi @ ( if_pi @ B @ C1 @ C22 ) )
          = ( perm_name_pi @ Pi @ C1 ) ) )
      & ( ~ ( perm_name_o @ Pi @ B )
       => ( ( perm_name_pi @ Pi @ ( if_pi @ B @ C1 @ C22 ) )
          = ( perm_name_pi @ Pi @ C22 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_290_if__eqvt) ).

thf(72,axiom,
    ! [Pi: list_P227219501e_name,B: $o,C1: name,C22: name] :
      ( ( ( perm_name_o @ Pi @ B )
       => ( ( perm_name_name @ Pi @ ( if_name @ B @ C1 @ C22 ) )
          = ( perm_name_name @ Pi @ C1 ) ) )
      & ( ~ ( perm_name_o @ Pi @ B )
       => ( ( perm_name_name @ Pi @ ( if_name @ B @ C1 @ C22 ) )
          = ( perm_name_name @ Pi @ C22 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_289_if__eqvt) ).

thf(73,axiom,
    ! [Pi: list_P227219501e_name,B: $o,C1: pi_Rep,C22: pi_Rep] :
      ( ( ( perm_name_o @ Pi @ B )
       => ( ( perm_name_pi_Rep @ Pi @ ( if_pi_Rep @ B @ C1 @ C22 ) )
          = ( perm_name_pi_Rep @ Pi @ C1 ) ) )
      & ( ~ ( perm_name_o @ Pi @ B )
       => ( ( perm_name_pi_Rep @ Pi @ ( if_pi_Rep @ B @ C1 @ C22 ) )
          = ( perm_name_pi_Rep @ Pi @ C22 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_288_if__eqvt) ).

thf(74,axiom,
    ! [Pi: list_P227219501e_name,B: $o,C1: late_freeRes,C22: late_freeRes] :
      ( ( ( perm_name_o @ Pi @ B )
       => ( ( perm_n336613537reeRes @ Pi @ ( if_Late_freeRes @ B @ C1 @ C22 ) )
          = ( perm_n336613537reeRes @ Pi @ C1 ) ) )
      & ( ~ ( perm_name_o @ Pi @ B )
       => ( ( perm_n336613537reeRes @ Pi @ ( if_Late_freeRes @ B @ C1 @ C22 ) )
          = ( perm_n336613537reeRes @ Pi @ C22 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_287_if__eqvt) ).

thf(75,axiom,
    ! [Pi: list_P227219501e_name,B: $o,C1: late_subject,C22: late_subject] :
      ( ( ( perm_name_o @ Pi @ B )
       => ( ( perm_n1559866809ubject @ Pi @ ( if_Late_subject @ B @ C1 @ C22 ) )
          = ( perm_n1559866809ubject @ Pi @ C1 ) ) )
      & ( ~ ( perm_name_o @ Pi @ B )
       => ( ( perm_n1559866809ubject @ Pi @ ( if_Late_subject @ B @ C1 @ C22 ) )
          = ( perm_n1559866809ubject @ Pi @ C22 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_286_if__eqvt) ).

thf(76,axiom,
    ! [A: name,X: name,Y: product_prod_pi_pi] :
      ( ( fresh_1376661020_pi_pi @ A @ ( produc235456326_pi_pi @ X @ Y ) )
     => ( fresh_name_name @ A @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_285_fresh__prodD_I1_J) ).

thf(78,axiom,
    ! [A: name,X: name,Y: name] :
      ( ( fresh_441084397e_name @ A @ ( produc1570949143e_name @ X @ Y ) )
     => ( fresh_name_name @ A @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_283_fresh__prodD_I1_J) ).

thf(81,axiom,
    ! [A: name,X: name,Y: name] :
      ( ( fresh_441084397e_name @ A @ ( produc1570949143e_name @ X @ Y ) )
     => ( fresh_name_name @ A @ Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_280_fresh__prodD_I2_J) ).

thf(92,axiom,
    ! [X: pi,Y: pi,Pi: list_P227219501e_name] :
      ( ( X = Y )
     => ( ( perm_name_pi @ Pi @ X )
        = ( perm_name_pi @ Pi @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_269_pt__bij3) ).

thf(93,axiom,
    ! [X: name,Y: name,Pi: list_P227219501e_name] :
      ( ( X = Y )
     => ( ( perm_name_name @ Pi @ X )
        = ( perm_name_name @ Pi @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_268_pt__bij3) ).

thf(94,axiom,
    ! [X: pi_Rep,Y: pi_Rep,Pi: list_P227219501e_name] :
      ( ( X = Y )
     => ( ( perm_name_pi_Rep @ Pi @ X )
        = ( perm_name_pi_Rep @ Pi @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_267_pt__bij3) ).

thf(95,axiom,
    ! [X: late_freeRes,Y: late_freeRes,Pi: list_P227219501e_name] :
      ( ( X = Y )
     => ( ( perm_n336613537reeRes @ Pi @ X )
        = ( perm_n336613537reeRes @ Pi @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_266_pt__bij3) ).

thf(96,axiom,
    ! [X: late_subject,Y: late_subject,Pi: list_P227219501e_name] :
      ( ( X = Y )
     => ( ( perm_n1559866809ubject @ Pi @ X )
        = ( perm_n1559866809ubject @ Pi @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_265_pt__bij3) ).

thf(97,axiom,
    ! [C: $o,Pi: list_P227219501e_name,X: pi,Y: pi] :
      ( ( C
       => ( ( perm_name_pi @ Pi @ ( if_pi @ C @ X @ Y ) )
          = ( perm_name_pi @ Pi @ X ) ) )
      & ( ~ C
       => ( ( perm_name_pi @ Pi @ ( if_pi @ C @ X @ Y ) )
          = ( perm_name_pi @ Pi @ Y ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_264_abs__fun__if) ).

thf(98,axiom,
    ! [C: $o,Pi: list_P227219501e_name,X: name,Y: name] :
      ( ( C
       => ( ( perm_name_name @ Pi @ ( if_name @ C @ X @ Y ) )
          = ( perm_name_name @ Pi @ X ) ) )
      & ( ~ C
       => ( ( perm_name_name @ Pi @ ( if_name @ C @ X @ Y ) )
          = ( perm_name_name @ Pi @ Y ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_263_abs__fun__if) ).

thf(99,axiom,
    ! [C: $o,Pi: list_P227219501e_name,X: pi_Rep,Y: pi_Rep] :
      ( ( C
       => ( ( perm_name_pi_Rep @ Pi @ ( if_pi_Rep @ C @ X @ Y ) )
          = ( perm_name_pi_Rep @ Pi @ X ) ) )
      & ( ~ C
       => ( ( perm_name_pi_Rep @ Pi @ ( if_pi_Rep @ C @ X @ Y ) )
          = ( perm_name_pi_Rep @ Pi @ Y ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_262_abs__fun__if) ).

thf(100,axiom,
    ! [C: $o,Pi: list_P227219501e_name,X: late_freeRes,Y: late_freeRes] :
      ( ( C
       => ( ( perm_n336613537reeRes @ Pi @ ( if_Late_freeRes @ C @ X @ Y ) )
          = ( perm_n336613537reeRes @ Pi @ X ) ) )
      & ( ~ C
       => ( ( perm_n336613537reeRes @ Pi @ ( if_Late_freeRes @ C @ X @ Y ) )
          = ( perm_n336613537reeRes @ Pi @ Y ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_261_abs__fun__if) ).

thf(101,axiom,
    ! [C: $o,Pi: list_P227219501e_name,X: late_subject,Y: late_subject] :
      ( ( C
       => ( ( perm_n1559866809ubject @ Pi @ ( if_Late_subject @ C @ X @ Y ) )
          = ( perm_n1559866809ubject @ Pi @ X ) ) )
      & ( ~ C
       => ( ( perm_n1559866809ubject @ Pi @ ( if_Late_subject @ C @ X @ Y ) )
          = ( perm_n1559866809ubject @ Pi @ Y ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_260_abs__fun__if) ).

thf(102,axiom,
    ! [P: list_P227219501e_name > $o] :
      ( ! [X_1: list_P227219501e_name] : ( P @ X_1 )
     => ( P @ nil_Pr743626285e_name ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_259_allE__Nil) ).

thf(103,axiom,
    ! [Y: name] : ( fresh_1143631827t_unit @ Y @ product_Unity ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_258_freshUnit) ).

thf(104,axiom,
    ! [A: name] : ( fresh_1143631827t_unit @ A @ product_Unity ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_257_fresh__unit) ).

thf(105,axiom,
    ( fresh_name_name
    = ( ^ [A4: name,B3: name] : ( A4 != B3 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_256_name__fresh) ).

thf(108,axiom,
    ! [A: name,X: pi,Xs: list_pi] :
      ( ( fresh_name_list_pi @ A @ ( cons_pi @ X @ Xs ) )
      = ( ( fresh_name_pi @ A @ X )
        & ( fresh_name_list_pi @ A @ Xs ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_253_fresh__list__cons) ).

thf(116,axiom,
    ! [A: name,X: name,Y: name] :
      ( ( fresh_441084397e_name @ A @ ( produc1570949143e_name @ X @ Y ) )
      = ( ( fresh_name_name @ A @ X )
        & ( fresh_name_name @ A @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_245_fresh__prod) ).

thf(124,axiom,
    ! [P: pi,Q: pi,A: late_subject,X: name,Rel: set_Pr1834926343_pi_pi,Perm: list_P227219501e_name] :
      ( ( strong2129052853vative @ P @ Q @ A @ X @ Rel )
     => ( ( eqvt_pi @ Rel )
       => ( strong2129052853vative @ ( perm_name_pi @ Perm @ P ) @ ( perm_name_pi @ Perm @ Q ) @ ( perm_n1559866809ubject @ Perm @ A ) @ ( perm_name_name @ Perm @ X ) @ Rel ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_237_derivativeEqvtI) ).

thf(125,axiom,
    ! [P: pi,Q: pi,A: late_subject,X: name,Rel: set_Pr1834926343_pi_pi,Perm: list_P227219501e_name] :
      ( ( strong2129052853vative @ P @ Q @ A @ X @ Rel )
     => ( ( eqvt_pi @ Rel )
       => ( strong2129052853vative @ ( perm_name_pi @ Perm @ P ) @ ( perm_name_pi @ Perm @ Q ) @ A @ ( perm_name_name @ Perm @ X ) @ Rel ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_236_derivativeEqvtI2) ).

thf(126,axiom,
    ! [P: pi,A: name,B: name,P3: pi] :
      ( ( late_transitions @ P @ ( late_FreeR @ ( late_OutputR @ A @ B ) @ P3 ) )
     => ( ( A != B )
       => ( late_transitions @ ( res @ B @ P ) @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ B @ P3 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_235_Open) ).

thf(127,axiom,
    ! [P: pi,Q: pi,A: late_subject,X: name,PQ: pi,Prop: pi > $o] :
      ( ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ PQ ) )
     => ( ( fresh_name_pi @ X @ P )
       => ( ( fresh_name_pi @ X @ Q )
         => ( ! [P4: pi] :
                ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P4 ) )
               => ( Prop @ ( par @ P4 @ Q ) ) )
           => ( ! [Q4: pi] :
                  ( ( late_transitions @ Q @ ( late_BoundR @ A @ X @ Q4 ) )
                 => ( Prop @ ( par @ P @ Q4 ) ) )
             => ( Prop @ PQ ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_234_parCasesB) ).

thf(128,axiom,
    ! [Q: pi,A: late_subject,X: name,Q2: pi,P: pi] :
      ( ( late_transitions @ Q @ ( late_BoundR @ A @ X @ Q2 ) )
     => ( ( fresh_name_pi @ X @ P )
       => ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P @ Q2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_233_Late__Semantics_OPar2B) ).

thf(129,axiom,
    ! [P: pi,A: late_subject,X: name,P3: pi,Q: pi] :
      ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P3 ) )
     => ( ( fresh_name_pi @ X @ Q )
       => ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P3 @ Q ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_232_Late__Semantics_OPar1B) ).

thf(130,axiom,
    ! [P: pi,Alpha: late_freeRes,P3: pi,Y: name] :
      ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
     => ( ( fresh_name_pi @ Y @ P )
       => ( fresh_name_pi @ Y @ P3 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_231_freshFreeDerivative_I2_J) ).

thf(131,axiom,
    ! [P: pi > late_residual > $o,Z: pi,Residual: late_residual] :
      ( ! [Subject2: late_subject,Name3: name,Pi4: pi,Z2: pi] :
          ( ( fresh_name_pi @ Name3 @ Z2 )
         => ( ( fresh_717452603ubject @ Name3 @ Subject2 )
           => ( P @ Z2 @ ( late_BoundR @ Subject2 @ Name3 @ Pi4 ) ) ) )
     => ( ! [FreeRes2: late_freeRes,Pi4: pi,Z2: pi] : ( P @ Z2 @ ( late_FreeR @ FreeRes2 @ Pi4 ) )
       => ( P @ Z @ Residual ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_230_residual_Ostrong__induct) ).

thf(132,axiom,
    ! [P: name > late_residual > $o,Z: name,Residual: late_residual] :
      ( ! [Subject2: late_subject,Name3: name,Pi4: pi,Z2: name] :
          ( ( fresh_name_name @ Name3 @ Z2 )
         => ( ( fresh_717452603ubject @ Name3 @ Subject2 )
           => ( P @ Z2 @ ( late_BoundR @ Subject2 @ Name3 @ Pi4 ) ) ) )
     => ( ! [FreeRes2: late_freeRes,Pi4: pi,Z2: name] : ( P @ Z2 @ ( late_FreeR @ FreeRes2 @ Pi4 ) )
       => ( P @ Z @ Residual ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_229_residual_Ostrong__induct) ).

thf(133,axiom,
    ! [P: produc1141751126_pi_pi > late_residual > $o,Z: produc1141751126_pi_pi,Residual: late_residual] :
      ( ! [Subject2: late_subject,Name3: name,Pi4: pi,Z2: produc1141751126_pi_pi] :
          ( ( fresh_1376661020_pi_pi @ Name3 @ Z2 )
         => ( ( fresh_717452603ubject @ Name3 @ Subject2 )
           => ( P @ Z2 @ ( late_BoundR @ Subject2 @ Name3 @ Pi4 ) ) ) )
     => ( ! [FreeRes2: late_freeRes,Pi4: pi,Z2: produc1141751126_pi_pi] : ( P @ Z2 @ ( late_FreeR @ FreeRes2 @ Pi4 ) )
       => ( P @ Z @ Residual ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_228_residual_Ostrong__induct) ).

thf(134,axiom,
    ! [P: product_unit > late_residual > $o,Z: product_unit,Residual: late_residual] :
      ( ! [Subject2: late_subject,Name3: name,Pi4: pi,Z2: product_unit] :
          ( ( fresh_1143631827t_unit @ Name3 @ Z2 )
         => ( ( fresh_717452603ubject @ Name3 @ Subject2 )
           => ( P @ Z2 @ ( late_BoundR @ Subject2 @ Name3 @ Pi4 ) ) ) )
     => ( ! [FreeRes2: late_freeRes,Pi4: pi,Z2: product_unit] : ( P @ Z2 @ ( late_FreeR @ FreeRes2 @ Pi4 ) )
       => ( P @ Z @ Residual ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_227_residual_Ostrong__induct) ).

thf(135,axiom,
    ! [P: pi > late_residual > $o,Z: pi,Residual: late_residual] :
      ( ! [Subject2: late_subject,Name3: name,Pi4: pi,Z2: pi] :
          ( ( fresh_name_pi @ Name3 @ Z2 )
         => ( ( fresh_717452603ubject @ Name3 @ Subject2 )
           => ( P @ Z2 @ ( late_BoundR @ Subject2 @ Name3 @ Pi4 ) ) ) )
     => ( ! [FreeRes2: late_freeRes,Pi4: pi,Z2: pi] : ( P @ Z2 @ ( late_FreeR @ FreeRes2 @ Pi4 ) )
       => ( P @ Z @ Residual ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_226_residual_Ostrong__inducts) ).

thf(136,axiom,
    ! [P: name > late_residual > $o,Z: name,Residual: late_residual] :
      ( ! [Subject2: late_subject,Name3: name,Pi4: pi,Z2: name] :
          ( ( fresh_name_name @ Name3 @ Z2 )
         => ( ( fresh_717452603ubject @ Name3 @ Subject2 )
           => ( P @ Z2 @ ( late_BoundR @ Subject2 @ Name3 @ Pi4 ) ) ) )
     => ( ! [FreeRes2: late_freeRes,Pi4: pi,Z2: name] : ( P @ Z2 @ ( late_FreeR @ FreeRes2 @ Pi4 ) )
       => ( P @ Z @ Residual ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_225_residual_Ostrong__inducts) ).

thf(137,axiom,
    ! [P: produc1141751126_pi_pi > late_residual > $o,Z: produc1141751126_pi_pi,Residual: late_residual] :
      ( ! [Subject2: late_subject,Name3: name,Pi4: pi,Z2: produc1141751126_pi_pi] :
          ( ( fresh_1376661020_pi_pi @ Name3 @ Z2 )
         => ( ( fresh_717452603ubject @ Name3 @ Subject2 )
           => ( P @ Z2 @ ( late_BoundR @ Subject2 @ Name3 @ Pi4 ) ) ) )
     => ( ! [FreeRes2: late_freeRes,Pi4: pi,Z2: produc1141751126_pi_pi] : ( P @ Z2 @ ( late_FreeR @ FreeRes2 @ Pi4 ) )
       => ( P @ Z @ Residual ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_224_residual_Ostrong__inducts) ).

thf(138,axiom,
    ! [P: product_unit > late_residual > $o,Z: product_unit,Residual: late_residual] :
      ( ! [Subject2: late_subject,Name3: name,Pi4: pi,Z2: product_unit] :
          ( ( fresh_1143631827t_unit @ Name3 @ Z2 )
         => ( ( fresh_717452603ubject @ Name3 @ Subject2 )
           => ( P @ Z2 @ ( late_BoundR @ Subject2 @ Name3 @ Pi4 ) ) ) )
     => ( ! [FreeRes2: late_freeRes,Pi4: pi,Z2: product_unit] : ( P @ Z2 @ ( late_FreeR @ FreeRes2 @ Pi4 ) )
       => ( P @ Z @ Residual ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_223_residual_Ostrong__inducts) ).

thf(139,axiom,
    ! [P: pi,A: late_subject,X: name,P3: pi,Y: name] :
      ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P3 ) )
     => ( ( fresh_name_pi @ Y @ P )
       => ( ( Y != X )
         => ( fresh_name_pi @ Y @ P3 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_222_freshBoundDerivative_I2_J) ).

thf(140,axiom,
    ! [Q: pi,Alpha: late_freeRes,Q2: pi,P: pi] :
      ( ( late_transitions @ Q @ ( late_FreeR @ Alpha @ Q2 ) )
     => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P @ Q2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_221_Par2F) ).

thf(141,axiom,
    ! [P: pi,Alpha: late_freeRes,P3: pi,Q: pi] :
      ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
     => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P3 @ Q ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_220_Par1F) ).

thf(142,axiom,
    ! [Y: name,P: pi,A: late_subject,X: name,YP: pi,F2: late_subject > pi > $o] :
      ( ( late_transitions @ ( res @ Y @ P ) @ ( late_BoundR @ A @ X @ YP ) )
     => ( ( X != Y )
       => ( ( fresh_name_pi @ X @ P )
         => ( ! [B2: name,P4: pi] :
                ( ( late_transitions @ P @ ( late_FreeR @ ( late_OutputR @ B2 @ Y ) @ P4 ) )
               => ( ( B2 != Y )
                 => ( ( A
                      = ( late_BoundOutputS @ B2 ) )
                   => ( F2 @ ( late_BoundOutputS @ B2 ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X @ Y ) @ nil_Pr743626285e_name ) @ P4 ) ) ) ) )
           => ( ! [P4: pi] :
                  ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P4 ) )
                 => ( ( fresh_717452603ubject @ Y @ A )
                   => ( F2 @ A @ ( res @ Y @ P4 ) ) ) )
             => ( F2 @ A @ YP ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_219_resCasesB) ).

thf(143,axiom,
    ! [P: late_subject > $o,Subject: late_subject] :
      ( ! [Name3: name] : ( P @ ( late_InputS @ Name3 ) )
     => ( ! [Name3: name] : ( P @ ( late_BoundOutputS @ Name3 ) )
       => ( P @ Subject ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_218_subject_Oinducts) ).

thf(144,axiom,
    ! [Name2: name,Name: name] :
      ( ( late_InputS @ Name2 )
     != ( late_BoundOutputS @ Name ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_217_Late__Semantics_Osubject_Odistinct_I1_J) ).

thf(145,axiom,
    ! [Name12: name,Name23: name] :
      ( ( late_OutputR @ Name12 @ Name23 )
     != late_TauR ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_216_Late__Semantics_OfreeRes_Odistinct_I1_J) ).

thf(146,axiom,
    ! [P: late_freeRes > $o,FreeRes3: late_freeRes] :
      ( ! [Name1: name,Name22: name] : ( P @ ( late_OutputR @ Name1 @ Name22 ) )
     => ( ( P @ late_TauR )
       => ( P @ FreeRes3 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_215_freeRes_Oinducts) ).

thf(147,axiom,
    ! [X1: pi,X2: late_residual,Pi: list_P227219501e_name] :
      ( ( late_transitions @ X1 @ X2 )
     => ( late_transitions @ ( perm_name_pi @ Pi @ X1 ) @ ( perm_n414416632sidual @ Pi @ X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_214_eqvt) ).

thf(148,axiom,
    ! [P: late_residual > $o,Residual: late_residual] :
      ( ! [Subject2: late_subject,Name3: name,Pi4: pi] : ( P @ ( late_BoundR @ Subject2 @ Name3 @ Pi4 ) )
     => ( ! [FreeRes2: late_freeRes,Pi4: pi] : ( P @ ( late_FreeR @ FreeRes2 @ Pi4 ) )
       => ( P @ Residual ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_213_residual_Oinducts) ).

thf(149,axiom,
    ! [Subject: late_subject,Name2: name,Pi: pi,FreeRes: late_freeRes,Pi3: pi] :
      ( ( late_BoundR @ Subject @ Name2 @ Pi )
     != ( late_FreeR @ FreeRes @ Pi3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_212_residual_Odistinct_I1_J) ).

thf(150,axiom,
    ! [X5: name,P: pi,A: late_subject,Y4: name,P3: pi] :
      ( ( late_transitions @ ( res @ X5 @ P ) @ ( late_BoundR @ A @ Y4 @ P3 ) )
     => ( ! [P5: pi,A3: name,B2: name] :
            ( ( ( res @ X5 @ P )
              = ( res @ B2 @ P5 ) )
           => ! [P4: pi] :
                ( ( ( late_BoundR @ A @ Y4 @ P3 )
                  = ( late_BoundR @ ( late_BoundOutputS @ A3 ) @ B2 @ P4 ) )
               => ( ( late_transitions @ P5 @ ( late_FreeR @ ( late_OutputR @ A3 @ B2 ) @ P4 ) )
                 => ( A3 = B2 ) ) ) )
       => ~ ! [P5: pi,A3: late_subject,X6: name,P4: pi,Y3: name] :
              ( ( ( res @ X5 @ P )
                = ( res @ Y3 @ P5 ) )
             => ( ( ( late_BoundR @ A @ Y4 @ P3 )
                  = ( late_BoundR @ A3 @ X6 @ ( res @ Y3 @ P4 ) ) )
               => ( ( late_transitions @ P5 @ ( late_BoundR @ A3 @ X6 @ P4 ) )
                 => ( ( fresh_717452603ubject @ Y3 @ A3 )
                   => ( ( Y3 != X6 )
                     => ( ( fresh_name_pi @ X6 @ P5 )
                       => ~ ( fresh_717452603ubject @ X6 @ A3 ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_211_resCasesB_H) ).

thf(151,axiom,
    ! [X2: late_freeRes,X1: pi,Y2: late_freeRes,Y1: pi] :
      ( ( ( late_FreeR @ X2 @ X1 )
        = ( late_FreeR @ Y2 @ Y1 ) )
      = ( ( X2 = Y2 )
        & ( X1 = Y1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_210_residual_Oinject_I2_J) ).

thf(152,axiom,
    ! [X: name,P: pi,Rs: late_residual] :
      ( ( late_transitions @ ( res @ X @ P ) @ Rs )
     => ( ! [P5: pi,A3: name,B2: name] :
            ( ( ( res @ X @ P )
              = ( res @ B2 @ P5 ) )
           => ! [P4: pi] :
                ( ( Rs
                  = ( late_BoundR @ ( late_BoundOutputS @ A3 ) @ B2 @ P4 ) )
               => ( ( late_transitions @ P5 @ ( late_FreeR @ ( late_OutputR @ A3 @ B2 ) @ P4 ) )
                 => ( A3 = B2 ) ) ) )
       => ( ! [P5: pi,A3: late_subject,X6: name,P4: pi,Y3: name] :
              ( ( ( res @ X @ P )
                = ( res @ Y3 @ P5 ) )
             => ( ( Rs
                  = ( late_BoundR @ A3 @ X6 @ ( res @ Y3 @ P4 ) ) )
               => ( ( late_transitions @ P5 @ ( late_BoundR @ A3 @ X6 @ P4 ) )
                 => ( ( fresh_717452603ubject @ Y3 @ A3 )
                   => ( ( Y3 != X6 )
                     => ( ( fresh_name_pi @ X6 @ P5 )
                       => ~ ( fresh_717452603ubject @ X6 @ A3 ) ) ) ) ) ) )
         => ~ ! [P5: pi,Alpha2: late_freeRes,P4: pi,Y3: name] :
                ( ( ( res @ X @ P )
                  = ( res @ Y3 @ P5 ) )
               => ( ( Rs
                    = ( late_FreeR @ Alpha2 @ ( res @ Y3 @ P4 ) ) )
                 => ( ( late_transitions @ P5 @ ( late_FreeR @ Alpha2 @ P4 ) )
                   => ~ ( fresh_1641682979reeRes @ Y3 @ Alpha2 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_209_resCases_H) ).

thf(153,axiom,
    ! [Q: pi,A: late_subject,X: name,Q2: pi,P: pi] :
      ( ( late_transitions @ Q @ ( late_BoundR @ A @ X @ Q2 ) )
     => ( ( fresh_name_pi @ X @ P )
       => ( ( fresh_name_pi @ X @ Q )
         => ( ( fresh_717452603ubject @ X @ A )
           => ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P @ Q2 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_208_transitions_OPar2B) ).

thf(154,axiom,
    ! [P: pi,A: late_subject,X: name,P3: pi,Q: pi] :
      ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P3 ) )
     => ( ( fresh_name_pi @ X @ P )
       => ( ( fresh_name_pi @ X @ Q )
         => ( ( fresh_717452603ubject @ X @ A )
           => ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P3 @ Q ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_207_transitions_OPar1B) ).

thf(155,axiom,
    ! [P: pi,Q: pi,B: late_subject,Y: name,P3: pi] :
      ( ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ B @ Y @ P3 ) )
     => ( ! [P5: pi,A3: late_subject,X6: name,P4: pi,Q3: pi] :
            ( ( ( par @ P @ Q )
              = ( par @ P5 @ Q3 ) )
           => ( ( ( late_BoundR @ B @ Y @ P3 )
                = ( late_BoundR @ A3 @ X6 @ ( par @ P4 @ Q3 ) ) )
             => ( ( late_transitions @ P5 @ ( late_BoundR @ A3 @ X6 @ P4 ) )
               => ( ( fresh_name_pi @ X6 @ P5 )
                 => ( ( fresh_name_pi @ X6 @ Q3 )
                   => ~ ( fresh_717452603ubject @ X6 @ A3 ) ) ) ) ) )
       => ~ ! [Q3: pi,A3: late_subject,X6: name,Q4: pi,P5: pi] :
              ( ( ( par @ P @ Q )
                = ( par @ P5 @ Q3 ) )
             => ( ( ( late_BoundR @ B @ Y @ P3 )
                  = ( late_BoundR @ A3 @ X6 @ ( par @ P5 @ Q4 ) ) )
               => ( ( late_transitions @ Q3 @ ( late_BoundR @ A3 @ X6 @ Q4 ) )
                 => ( ( fresh_name_pi @ X6 @ P5 )
                   => ( ( fresh_name_pi @ X6 @ Q3 )
                     => ~ ( fresh_717452603ubject @ X6 @ A3 ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_206_parCasesB_H) ).

thf(156,axiom,
    ! [P: pi,A: late_subject,X: name,P3: pi,Y: name] :
      ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P3 ) )
     => ( ( fresh_717452603ubject @ Y @ A )
       => ( ( Y != X )
         => ( ( fresh_name_pi @ X @ P )
           => ( ( fresh_717452603ubject @ X @ A )
             => ( late_transitions @ ( res @ Y @ P ) @ ( late_BoundR @ A @ X @ ( res @ Y @ P3 ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_205_transitions_OResB) ).

thf(157,axiom,
    ! [P: pi,A: late_subject,X: name,P3: pi,Y: name] :
      ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P3 ) )
     => ( ( fresh_name_pi @ Y @ P )
       => ( fresh_717452603ubject @ Y @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_204_freshBoundDerivative_I1_J) ).

thf(158,axiom,
    ! [P: pi,Alpha: late_freeRes,P3: pi,Y: name] :
      ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
     => ( ( fresh_name_pi @ Y @ P )
       => ( fresh_1641682979reeRes @ Y @ Alpha ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_203_freshFreeDerivative_I1_J) ).

thf(159,axiom,
    ! [P: pi,A: late_subject,X: name,P3: pi,Y: name] :
      ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P3 ) )
     => ( ( fresh_717452603ubject @ Y @ A )
       => ( ( Y != X )
         => ( late_transitions @ ( res @ Y @ P ) @ ( late_BoundR @ A @ X @ ( res @ Y @ P3 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_202_Late__Semantics_OResB) ).

thf(160,axiom,
    ! [P: pi,Alpha: late_freeRes,P3: pi,Y: name] :
      ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
     => ( ( fresh_1641682979reeRes @ Y @ Alpha )
       => ( late_transitions @ ( res @ Y @ P ) @ ( late_FreeR @ Alpha @ ( res @ Y @ P3 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_201_ResF) ).

thf(161,axiom,
    ! [X: name,P: pi,Alpha: late_freeRes,P3: pi] :
      ( ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ P3 ) )
     => ~ ! [P5: pi,Alpha2: late_freeRes,P4: pi,Y3: name] :
            ( ( ( res @ X @ P )
              = ( res @ Y3 @ P5 ) )
           => ( ( ( late_FreeR @ Alpha @ P3 )
                = ( late_FreeR @ Alpha2 @ ( res @ Y3 @ P4 ) ) )
             => ( ( late_transitions @ P5 @ ( late_FreeR @ Alpha2 @ P4 ) )
               => ~ ( fresh_1641682979reeRes @ Y3 @ Alpha2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_200_resCasesF_H) ).

thf(162,axiom,
    ! [X: name,P: pi,Alpha: late_freeRes,XP: pi,F2: pi > $o] :
      ( ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ XP ) )
     => ( ! [P4: pi] :
            ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P4 ) )
           => ( ( fresh_1641682979reeRes @ X @ Alpha )
             => ( F2 @ ( res @ X @ P4 ) ) ) )
       => ( F2 @ XP ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_199_resCasesF) ).

thf(163,axiom,
    ! [P: pi,Rs: late_residual,X: name] :
      ( ( late_transitions @ P @ Rs )
     => ( ( fresh_name_pi @ X @ P )
       => ( fresh_81631222sidual @ X @ Rs ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_198_freshResidual) ).

thf(164,axiom,
    ! [Pi: list_P227219501e_name,X: name,Y: name] :
      ( ( ( perm_name_name @ Pi @ X )
        = ( perm_name_name @ Pi @ Y ) )
      = ( X = Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_197_name__bij) ).

thf(165,axiom,
    ! [Pi: list_P227219501e_name,X32: late_subject,X1: name,X2: pi] :
      ( ( perm_n414416632sidual @ Pi @ ( late_BoundR @ X32 @ X1 @ X2 ) )
      = ( late_BoundR @ ( perm_n1559866809ubject @ Pi @ X32 ) @ ( perm_name_name @ Pi @ X1 ) @ ( perm_name_pi @ Pi @ X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_196_residual_Operm_I1_J) ).

thf(166,axiom,
    ! [A: name,X1: name] :
      ( ( fresh_717452603ubject @ A @ ( late_InputS @ X1 ) )
      = ( fresh_name_name @ A @ X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_195_subject_Ofresh_I1_J) ).

thf(167,axiom,
    ! [A: name,X1: name] :
      ( ( fresh_717452603ubject @ A @ ( late_BoundOutputS @ X1 ) )
      = ( fresh_name_name @ A @ X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_194_subject_Ofresh_I2_J) ).

thf(168,axiom,
    ! [Pi: list_P227219501e_name,X1: name] :
      ( ( perm_n1559866809ubject @ Pi @ ( late_BoundOutputS @ X1 ) )
      = ( late_BoundOutputS @ ( perm_name_name @ Pi @ X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_193_subject_Operm_I2_J) ).

thf(169,axiom,
    ! [Pi: list_P227219501e_name,X1: name] :
      ( ( perm_n1559866809ubject @ Pi @ ( late_InputS @ X1 ) )
      = ( late_InputS @ ( perm_name_name @ Pi @ X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_192_subject_Operm_I1_J) ).

thf(170,axiom,
    ! [Pi: list_P227219501e_name,X2: name,X1: name] :
      ( ( perm_n336613537reeRes @ Pi @ ( late_OutputR @ X2 @ X1 ) )
      = ( late_OutputR @ ( perm_name_name @ Pi @ X2 ) @ ( perm_name_name @ Pi @ X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_191_freeRes_Operm_I1_J) ).

thf(171,axiom,
    ! [Pi: list_P227219501e_name,X2: late_freeRes,X1: pi] :
      ( ( perm_n414416632sidual @ Pi @ ( late_FreeR @ X2 @ X1 ) )
      = ( late_FreeR @ ( perm_n336613537reeRes @ Pi @ X2 ) @ ( perm_name_pi @ Pi @ X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_190_residual_Operm_I2_J) ).

thf(172,axiom,
    ! [B: name,P: pi,A: name,C: name] :
      ( ( fresh_name_pi @ B @ P )
     => ( ( subs @ ( subs @ P @ A @ B ) @ B @ C )
        = ( subs @ P @ A @ C ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_189_substTrans) ).

thf(173,axiom,
    ! [A: name,X2: late_freeRes,X1: pi] :
      ( ( fresh_81631222sidual @ A @ ( late_FreeR @ X2 @ X1 ) )
      = ( ( fresh_1641682979reeRes @ A @ X2 )
        & ( fresh_name_pi @ A @ X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_188_residual_Ofresh_I2_J) ).

thf(174,axiom,
    fresh_1143631827t_unit @ ya @ product_Unity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_187_cComm1_Ohyps_I8_J) ).

thf(175,axiom,
    ! [Pi: list_P227219501e_name] :
      ( ( perm_n336613537reeRes @ Pi @ late_TauR )
      = late_TauR ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_186_freeRes_Operm_I2_J) ).

thf(176,axiom,
    ! [A: name] : ( fresh_1641682979reeRes @ A @ late_TauR ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_185_freeRes_Ofresh_I2_J) ).

thf(177,axiom,
    ! [X1: name,Y1: name] :
      ( ( ( late_BoundOutputS @ X1 )
        = ( late_BoundOutputS @ Y1 ) )
      = ( X1 = Y1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_184_Late__Semantics_Osubject_Oinject_I2_J) ).

thf(178,axiom,
    ! [X2: name,X1: name,Y2: name,Y1: name] :
      ( ( ( late_OutputR @ X2 @ X1 )
        = ( late_OutputR @ Y2 @ Y1 ) )
      = ( ( X2 = Y2 )
        & ( X1 = Y1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_183_Late__Semantics_OfreeRes_Oinject) ).

thf(179,axiom,
    ! [A: name,X2: name,X1: name] :
      ( ( fresh_1641682979reeRes @ A @ ( late_OutputR @ X2 @ X1 ) )
      = ( ( fresh_name_name @ A @ X2 )
        & ( fresh_name_name @ A @ X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_182_freeRes_Ofresh_I1_J) ).

thf(180,axiom,
    ! [Residual_Rep: late_residual_Rep] :
      ( ( perm_n890803237al_Rep @ nil_Pr743626285e_name @ Residual_Rep )
      = Residual_Rep ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_181_residual__perm__empty) ).

thf(181,axiom,
    ! [Subject_Rep: late_subject_Rep] :
      ( ( perm_n697952036ct_Rep @ nil_Pr743626285e_name @ Subject_Rep )
      = Subject_Rep ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_180_subject__perm__empty) ).

thf(182,axiom,
    ! [FreeRes_Rep: late_freeRes_Rep] :
      ( ( perm_n1938283068es_Rep @ nil_Pr743626285e_name @ FreeRes_Rep )
      = FreeRes_Rep ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_179_freeRes__perm__empty) ).

thf(183,axiom,
    ! [X5: name,P: pi,A: late_subject,X: name] :
      ( ( fresh_name_pi @ X5 @ P )
     => ( ( late_BoundR @ A @ X @ P )
        = ( late_BoundR @ A @ X5 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X @ X5 ) @ nil_Pr743626285e_name ) @ P ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_178_alphaBoundResidual) ).

thf(184,axiom,
    ! [P: pi,A: name,X: name,P3: pi,Q: pi,B: name,Q2: pi] :
      ( ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P3 ) )
     => ( ( late_transitions @ Q @ ( late_FreeR @ ( late_OutputR @ A @ B ) @ Q2 ) )
       => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ P3 @ X @ B ) @ Q2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_177_Late__Semantics_OComm1) ).

thf(185,axiom,
    ! [P: pi,A: name,B: name,P3: pi,Q: pi,X: name,Q2: pi] :
      ( ( late_transitions @ P @ ( late_FreeR @ ( late_OutputR @ A @ B ) @ P3 ) )
     => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A ) @ X @ Q2 ) )
       => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ P3 @ ( subs @ Q2 @ X @ B ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_176_Late__Semantics_OComm2) ).

thf(186,axiom,
    ! [P: pi,A: name,X: name,P3: pi,Q: pi,B: name,Q2: pi] :
      ( ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P3 ) )
     => ( ( late_transitions @ Q @ ( late_FreeR @ ( late_OutputR @ A @ B ) @ Q2 ) )
       => ( ( fresh_name_pi @ X @ P )
         => ( ( fresh_name_pi @ X @ Q )
           => ( ( X != A )
             => ( ( X != B )
               => ( ( fresh_name_pi @ X @ Q2 )
                 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ P3 @ X @ B ) @ Q2 ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_175_transitions_OComm1) ).

thf(187,axiom,
    ! [P: pi,A: name,B: name,P3: pi,Q: pi,X: name,Q2: pi] :
      ( ( late_transitions @ P @ ( late_FreeR @ ( late_OutputR @ A @ B ) @ P3 ) )
     => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A ) @ X @ Q2 ) )
       => ( ( fresh_name_pi @ X @ P )
         => ( ( fresh_name_pi @ X @ Q )
           => ( ( X != A )
             => ( ( X != B )
               => ( ( fresh_name_pi @ X @ P3 )
                 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ P3 @ ( subs @ Q2 @ X @ B ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_174_transitions_OComm2) ).

thf(188,axiom,
    ! [P: pi,A: name,X: name,P3: pi,Q: pi,Y: name,Q2: pi] :
      ( ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P3 ) )
     => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ Y @ Q2 ) )
       => ( ( fresh_name_pi @ Y @ P )
         => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ ( subs @ P3 @ X @ Y ) @ Q2 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_173_Late__Semantics_OClose1) ).

thf(189,axiom,
    ! [P: pi,A: name,Y: name,P3: pi,Q: pi,X: name,Q2: pi] :
      ( ( late_transitions @ P @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ Y @ P3 ) )
     => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A ) @ X @ Q2 ) )
       => ( ( fresh_name_pi @ Y @ Q )
         => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ P3 @ ( subs @ Q2 @ X @ Y ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_172_Late__Semantics_OClose2) ).

thf(190,axiom,
    ! [P: pi,A: name,X: name,P3: pi,Q: pi,Y: name,Q2: pi] :
      ( ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P3 ) )
     => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ Y @ Q2 ) )
       => ( ( fresh_name_pi @ X @ P )
         => ( ( fresh_name_pi @ X @ Q )
           => ( ( fresh_name_pi @ Y @ P )
             => ( ( fresh_name_pi @ Y @ Q )
               => ( ( X != A )
                 => ( ( fresh_name_pi @ X @ Q2 )
                   => ( ( Y != A )
                     => ( ( fresh_name_pi @ Y @ P3 )
                       => ( ( X != Y )
                         => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ ( subs @ P3 @ X @ Y ) @ Q2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_171_transitions_OClose1) ).

thf(191,axiom,
    ! [P: pi,A: name,Y: name,P3: pi,Q: pi,X: name,Q2: pi] :
      ( ( late_transitions @ P @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ Y @ P3 ) )
     => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A ) @ X @ Q2 ) )
       => ( ( fresh_name_pi @ X @ P )
         => ( ( fresh_name_pi @ X @ Q )
           => ( ( fresh_name_pi @ Y @ P )
             => ( ( fresh_name_pi @ Y @ Q )
               => ( ( X != A )
                 => ( ( fresh_name_pi @ X @ P3 )
                   => ( ( Y != A )
                     => ( ( fresh_name_pi @ Y @ Q2 )
                       => ( ( X != Y )
                         => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ P3 @ ( subs @ Q2 @ X @ Y ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_170_transitions_OClose2) ).

thf(192,axiom,
    ! [A: name,B: name,X: pi] :
      ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ B @ A ) @ nil_Pr743626285e_name ) @ X ) )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_169_perm__swap_I2_J) ).

thf(193,axiom,
    ! [A: name,B: name,X: name] :
      ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ B @ A ) @ nil_Pr743626285e_name ) @ X ) )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_168_perm__swap_I2_J) ).

thf(194,axiom,
    ! [A: name,B: name,X: pi_Rep] :
      ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ B @ A ) @ nil_Pr743626285e_name ) @ X ) )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_167_perm__swap_I2_J) ).

thf(195,axiom,
    ! [A: name,B: name,X: late_freeRes] :
      ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ B @ A ) @ nil_Pr743626285e_name ) @ X ) )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_166_perm__swap_I2_J) ).

thf(196,axiom,
    ! [A: name,B: name,X: late_subject] :
      ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ B @ A ) @ nil_Pr743626285e_name ) @ X ) )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_165_perm__swap_I2_J) ).

thf(197,axiom,
    ! [Pi1: pi,Pi2: pi,Name: name,Pi3: pi] :
      ( ( par @ Pi1 @ Pi2 )
     != ( res @ Name @ Pi3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_164_pi_Odistinct_I85_J) ).

thf(198,axiom,
    ! [C: name,P: pi,A: name,B: name] :
      ( ( fresh_name_pi @ C @ P )
     => ( ( subs @ P @ A @ B )
        = ( subs @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ C @ A ) @ nil_Pr743626285e_name ) @ P ) @ C @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_163_renaming) ).

thf(199,axiom,
    ! [B: name,P: pi,A: name] :
      ( ( fresh_name_pi @ B @ P )
     => ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ P )
        = ( subs @ P @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_162_injPermSubst) ).

thf(200,axiom,
    ! [C: name,P: pi,A: name] :
      ( ( fresh_name_pi @ C @ P )
     => ( ( res @ A @ P )
        = ( res @ C @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ C ) @ nil_Pr743626285e_name ) @ P ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_161_alphaRes) ).

thf(201,axiom,
    ! [X2: pi,X1: pi,Y2: pi,Y1: pi] :
      ( ( ( par @ X2 @ X1 )
        = ( par @ Y2 @ Y1 ) )
      = ( ( X2 = Y2 )
        & ( X1 = Y1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_160_pi_Oinject_I7_J) ).

thf(202,axiom,
    ! [Pi: list_P227219501e_name,X: pi,Y: pi] :
      ( ( perm_name_o @ Pi @ ( X = Y ) )
      = ( ( perm_name_pi @ Pi @ X )
        = ( perm_name_pi @ Pi @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_159_eq__eqvt) ).

thf(203,axiom,
    ! [Pi: list_P227219501e_name,X: name,Y: name] :
      ( ( perm_name_o @ Pi @ ( X = Y ) )
      = ( ( perm_name_name @ Pi @ X )
        = ( perm_name_name @ Pi @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_158_eq__eqvt) ).

thf(204,axiom,
    ! [Pi: list_P227219501e_name,X: pi_Rep,Y: pi_Rep] :
      ( ( perm_name_o @ Pi @ ( X = Y ) )
      = ( ( perm_name_pi_Rep @ Pi @ X )
        = ( perm_name_pi_Rep @ Pi @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_157_eq__eqvt) ).

thf(205,axiom,
    ! [Pi: list_P227219501e_name,X: late_freeRes,Y: late_freeRes] :
      ( ( perm_name_o @ Pi @ ( X = Y ) )
      = ( ( perm_n336613537reeRes @ Pi @ X )
        = ( perm_n336613537reeRes @ Pi @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_156_eq__eqvt) ).

thf(206,axiom,
    ! [Pi: list_P227219501e_name,X: late_subject,Y: late_subject] :
      ( ( perm_name_o @ Pi @ ( X = Y ) )
      = ( ( perm_n1559866809ubject @ Pi @ X )
        = ( perm_n1559866809ubject @ Pi @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_155_eq__eqvt) ).

thf(213,axiom,
    ! [Pi: list_P227219501e_name,F: pi > late_freeRes,X: pi] :
      ( ( perm_n336613537reeRes @ Pi @ ( F @ X ) )
      = ( perm_n1333244520reeRes @ Pi @ F @ ( perm_name_pi @ Pi @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_148_perm__app) ).

thf(214,axiom,
    ! [Pi: list_P227219501e_name,F: name > late_freeRes,X: name] :
      ( ( perm_n336613537reeRes @ Pi @ ( F @ X ) )
      = ( perm_n382765978reeRes @ Pi @ F @ ( perm_name_name @ Pi @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_147_perm__app) ).

thf(215,axiom,
    ! [Pi: list_P227219501e_name,F: pi_Rep > late_freeRes,X: pi_Rep] :
      ( ( perm_n336613537reeRes @ Pi @ ( F @ X ) )
      = ( perm_n1841560599reeRes @ Pi @ F @ ( perm_name_pi_Rep @ Pi @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_146_perm__app) ).

thf(216,axiom,
    ! [Pi: list_P227219501e_name,F: late_freeRes > late_freeRes,X: late_freeRes] :
      ( ( perm_n336613537reeRes @ Pi @ ( F @ X ) )
      = ( perm_n1446290985reeRes @ Pi @ F @ ( perm_n336613537reeRes @ Pi @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_145_perm__app) ).

thf(217,axiom,
    ! [Pi: list_P227219501e_name,F: late_subject > late_freeRes,X: late_subject] :
      ( ( perm_n336613537reeRes @ Pi @ ( F @ X ) )
      = ( perm_n443561793reeRes @ Pi @ F @ ( perm_n1559866809ubject @ Pi @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_144_perm__app) ).

thf(218,axiom,
    ! [Pi: list_P227219501e_name,F: pi > late_subject,X: pi] :
      ( ( perm_n1559866809ubject @ Pi @ ( F @ X ) )
      = ( perm_n190055296ubject @ Pi @ F @ ( perm_name_pi @ Pi @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_143_perm__app) ).

thf(219,axiom,
    ! [Pi: list_P227219501e_name,F: name > late_subject,X: name] :
      ( ( perm_n1559866809ubject @ Pi @ ( F @ X ) )
      = ( perm_n1387060402ubject @ Pi @ F @ ( perm_name_name @ Pi @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_142_perm__app) ).

thf(220,axiom,
    ! [Pi: list_P227219501e_name,F: pi_Rep > late_subject,X: pi_Rep] :
      ( ( perm_n1559866809ubject @ Pi @ ( F @ X ) )
      = ( perm_n698371375ubject @ Pi @ F @ ( perm_name_pi_Rep @ Pi @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_141_perm__app) ).

thf(221,axiom,
    ! [Pi: list_P227219501e_name,F: late_freeRes > late_subject,X: late_freeRes] :
      ( ( perm_n1559866809ubject @ Pi @ ( F @ X ) )
      = ( perm_n303101761ubject @ Pi @ F @ ( perm_n336613537reeRes @ Pi @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_140_perm__app) ).

thf(222,axiom,
    ! [Pi: list_P227219501e_name,F: late_subject > late_subject,X: late_subject] :
      ( ( perm_n1559866809ubject @ Pi @ ( F @ X ) )
      = ( perm_n1447856217ubject @ Pi @ F @ ( perm_n1559866809ubject @ Pi @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_139_perm__app) ).

thf(223,axiom,
    ! [Pi: list_P227219501e_name,X: pi,Y: pi] :
      ( ( ( perm_name_pi @ Pi @ X )
        = ( perm_name_pi @ Pi @ Y ) )
      = ( X = Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_138_perm__bij) ).

thf(224,axiom,
    ! [Pi: list_P227219501e_name,X: name,Y: name] :
      ( ( ( perm_name_name @ Pi @ X )
        = ( perm_name_name @ Pi @ Y ) )
      = ( X = Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_137_perm__bij) ).

thf(225,axiom,
    ! [Pi: list_P227219501e_name,X: pi_Rep,Y: pi_Rep] :
      ( ( ( perm_name_pi_Rep @ Pi @ X )
        = ( perm_name_pi_Rep @ Pi @ Y ) )
      = ( X = Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_136_perm__bij) ).

thf(226,axiom,
    ! [Pi: list_P227219501e_name,X: late_freeRes,Y: late_freeRes] :
      ( ( ( perm_n336613537reeRes @ Pi @ X )
        = ( perm_n336613537reeRes @ Pi @ Y ) )
      = ( X = Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_135_perm__bij) ).

thf(227,axiom,
    ! [Pi: list_P227219501e_name,X: late_subject,Y: late_subject] :
      ( ( ( perm_n1559866809ubject @ Pi @ X )
        = ( perm_n1559866809ubject @ Pi @ Y ) )
      = ( X = Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_134_perm__bij) ).

thf(228,axiom,
    ! [Pi2: list_P227219501e_name,Pi1: list_P227219501e_name,X: pi] :
      ( ( perm_name_pi @ Pi2 @ ( perm_name_pi @ Pi1 @ X ) )
      = ( perm_name_pi @ ( perm_n1160739829e_name @ Pi2 @ Pi1 ) @ ( perm_name_pi @ Pi2 @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_133_perm__compose) ).

thf(229,axiom,
    ! [Pi2: list_P227219501e_name,Pi1: list_P227219501e_name,X: name] :
      ( ( perm_name_name @ Pi2 @ ( perm_name_name @ Pi1 @ X ) )
      = ( perm_name_name @ ( perm_n1160739829e_name @ Pi2 @ Pi1 ) @ ( perm_name_name @ Pi2 @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_132_perm__compose) ).

thf(230,axiom,
    ! [Pi2: list_P227219501e_name,Pi1: list_P227219501e_name,X: pi_Rep] :
      ( ( perm_name_pi_Rep @ Pi2 @ ( perm_name_pi_Rep @ Pi1 @ X ) )
      = ( perm_name_pi_Rep @ ( perm_n1160739829e_name @ Pi2 @ Pi1 ) @ ( perm_name_pi_Rep @ Pi2 @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_131_perm__compose) ).

thf(231,axiom,
    ! [Pi2: list_P227219501e_name,Pi1: list_P227219501e_name,X: late_freeRes] :
      ( ( perm_n336613537reeRes @ Pi2 @ ( perm_n336613537reeRes @ Pi1 @ X ) )
      = ( perm_n336613537reeRes @ ( perm_n1160739829e_name @ Pi2 @ Pi1 ) @ ( perm_n336613537reeRes @ Pi2 @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_130_perm__compose) ).

thf(232,axiom,
    ! [Pi2: list_P227219501e_name,Pi1: list_P227219501e_name,X: late_subject] :
      ( ( perm_n1559866809ubject @ Pi2 @ ( perm_n1559866809ubject @ Pi1 @ X ) )
      = ( perm_n1559866809ubject @ ( perm_n1160739829e_name @ Pi2 @ Pi1 ) @ ( perm_n1559866809ubject @ Pi2 @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_129_perm__compose) ).

thf(233,axiom,
    ! [Pi2: list_P227219501e_name,Pi1: list_P227219501e_name,X: pi] :
      ( ( perm_name_pi @ Pi2 @ ( perm_name_pi @ Pi1 @ X ) )
      = ( perm_name_pi @ ( perm_n1160739829e_name @ Pi2 @ Pi1 ) @ ( perm_name_pi @ Pi2 @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_128_name__perm__compose) ).

thf(234,axiom,
    ! [Pi2: list_P227219501e_name,Pi1: list_P227219501e_name,X: name] :
      ( ( perm_name_name @ Pi2 @ ( perm_name_name @ Pi1 @ X ) )
      = ( perm_name_name @ ( perm_n1160739829e_name @ Pi2 @ Pi1 ) @ ( perm_name_name @ Pi2 @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_127_name__perm__compose) ).

thf(235,axiom,
    ! [Pi2: list_P227219501e_name,Pi1: list_P227219501e_name,X: pi_Rep] :
      ( ( perm_name_pi_Rep @ Pi2 @ ( perm_name_pi_Rep @ Pi1 @ X ) )
      = ( perm_name_pi_Rep @ ( perm_n1160739829e_name @ Pi2 @ Pi1 ) @ ( perm_name_pi_Rep @ Pi2 @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_126_name__perm__compose) ).

thf(236,axiom,
    ! [Pi2: list_P227219501e_name,Pi1: list_P227219501e_name,X: late_freeRes] :
      ( ( perm_n336613537reeRes @ Pi2 @ ( perm_n336613537reeRes @ Pi1 @ X ) )
      = ( perm_n336613537reeRes @ ( perm_n1160739829e_name @ Pi2 @ Pi1 ) @ ( perm_n336613537reeRes @ Pi2 @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_125_name__perm__compose) ).

thf(237,axiom,
    ! [Pi2: list_P227219501e_name,Pi1: list_P227219501e_name,X: late_subject] :
      ( ( perm_n1559866809ubject @ Pi2 @ ( perm_n1559866809ubject @ Pi1 @ X ) )
      = ( perm_n1559866809ubject @ ( perm_n1160739829e_name @ Pi2 @ Pi1 ) @ ( perm_n1559866809ubject @ Pi2 @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_124_name__perm__compose) ).

thf(238,axiom,
    ! [Pi1: list_P227219501e_name,Pi2: list_P227219501e_name,X: pi] :
      ( ( perm_name_pi @ Pi1 @ ( perm_name_pi @ Pi2 @ X ) )
      = ( perm_name_pi @ ( perm_n1160739829e_name @ Pi1 @ Pi2 ) @ ( perm_name_pi @ Pi1 @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_123_cp__name__name1) ).

thf(239,axiom,
    ! [Pi1: list_P227219501e_name,Pi2: list_P227219501e_name,X: name] :
      ( ( perm_name_name @ Pi1 @ ( perm_name_name @ Pi2 @ X ) )
      = ( perm_name_name @ ( perm_n1160739829e_name @ Pi1 @ Pi2 ) @ ( perm_name_name @ Pi1 @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_122_cp__name__name1) ).

thf(240,axiom,
    ! [Pi1: list_P227219501e_name,Pi2: list_P227219501e_name,X: pi_Rep] :
      ( ( perm_name_pi_Rep @ Pi1 @ ( perm_name_pi_Rep @ Pi2 @ X ) )
      = ( perm_name_pi_Rep @ ( perm_n1160739829e_name @ Pi1 @ Pi2 ) @ ( perm_name_pi_Rep @ Pi1 @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_121_cp__name__name1) ).

thf(241,axiom,
    ! [Pi1: list_P227219501e_name,Pi2: list_P227219501e_name,X: late_freeRes] :
      ( ( perm_n336613537reeRes @ Pi1 @ ( perm_n336613537reeRes @ Pi2 @ X ) )
      = ( perm_n336613537reeRes @ ( perm_n1160739829e_name @ Pi1 @ Pi2 ) @ ( perm_n336613537reeRes @ Pi1 @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_120_cp__name__name1) ).

thf(242,axiom,
    ! [Pi1: list_P227219501e_name,Pi2: list_P227219501e_name,X: late_subject] :
      ( ( perm_n1559866809ubject @ Pi1 @ ( perm_n1559866809ubject @ Pi2 @ X ) )
      = ( perm_n1559866809ubject @ ( perm_n1160739829e_name @ Pi1 @ Pi2 ) @ ( perm_n1559866809ubject @ Pi1 @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_119_cp__name__name1) ).

thf(243,axiom,
    ! [C: name,A: name,X: name > noption_pi,B: name] :
      ( ( C != A )
     => ( ( fresh_543891186ion_pi @ A @ X )
       => ( ( fresh_543891186ion_pi @ C @ X )
         => ( fresh_543891186ion_pi @ C @ ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_118_fresh__aux) ).

thf(244,axiom,
    ! [C: name,A: name,X: pi,B: name] :
      ( ( C != A )
     => ( ( fresh_name_pi @ A @ X )
       => ( ( fresh_name_pi @ C @ X )
         => ( fresh_name_pi @ C @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_117_fresh__aux) ).

thf(245,axiom,
    ! [C: name,A: name,X: name,B: name] :
      ( ( C != A )
     => ( ( fresh_name_name @ A @ X )
       => ( ( fresh_name_name @ C @ X )
         => ( fresh_name_name @ C @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_116_fresh__aux) ).

thf(246,axiom,
    ! [C: name,A: name,X: produc1141751126_pi_pi,B: name] :
      ( ( C != A )
     => ( ( fresh_1376661020_pi_pi @ A @ X )
       => ( ( fresh_1376661020_pi_pi @ C @ X )
         => ( fresh_1376661020_pi_pi @ C @ ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_115_fresh__aux) ).

thf(247,axiom,
    ! [C: name,A: name,X: product_unit,B: name] :
      ( ( C != A )
     => ( ( fresh_1143631827t_unit @ A @ X )
       => ( ( fresh_1143631827t_unit @ C @ X )
         => ( fresh_1143631827t_unit @ C @ ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_114_fresh__aux) ).

thf(248,axiom,
    ! [C: name,A: name,X: pi_Rep,B: name] :
      ( ( C != A )
     => ( ( fresh_name_pi_Rep @ A @ X )
       => ( ( fresh_name_pi_Rep @ C @ X )
         => ( fresh_name_pi_Rep @ C @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_113_fresh__aux) ).

thf(249,axiom,
    ! [C: name,A: name,X: late_freeRes,B: name] :
      ( ( C != A )
     => ( ( fresh_1641682979reeRes @ A @ X )
       => ( ( fresh_1641682979reeRes @ C @ X )
         => ( fresh_1641682979reeRes @ C @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_112_fresh__aux) ).

thf(250,axiom,
    ! [C: name,A: name,X: late_subject,B: name] :
      ( ( C != A )
     => ( ( fresh_717452603ubject @ A @ X )
       => ( ( fresh_717452603ubject @ C @ X )
         => ( fresh_717452603ubject @ C @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_111_fresh__aux) ).

thf(251,axiom,
    ! [A: name,C: name,B: name] :
      ( ( A != C )
     => ( ( B != C )
       => ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ C )
          = C ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_110_swap__simps_I3_J) ).

thf(252,axiom,
    ! [A: name,B: name] :
      ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ B )
      = A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_109_swap__simps_I2_J) ).

thf(253,axiom,
    ! [A: name,B: name] :
      ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ A )
      = B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_108_swap__simps_I1_J) ).

thf(254,axiom,
    ! [P2: list_P227219501e_name,P: pi,A: name,B: name] :
      ( ( perm_name_pi @ P2 @ ( subs @ P @ A @ B ) )
      = ( subs @ ( perm_name_pi @ P2 @ P ) @ ( perm_name_name @ P2 @ A ) @ ( perm_name_name @ P2 @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_107_eqvt__subs) ).

thf(255,axiom,
    ! [B: name,P: pi,A: name] :
      ( ( fresh_name_pi @ B @ P )
     => ( ( res @ A @ P )
        = ( res @ B @ ( subs @ P @ A @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_106_substRes2) ).

thf(256,axiom,
    ! [B: name,P: pi,A: name] :
      ( ( fresh_name_pi @ B @ P )
     => ( ( subs @ ( res @ A @ P ) @ A @ B )
        = ( res @ B @ ( subs @ P @ A @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_105_Agent_OsubstRes3) ).

thf(259,axiom,
    ! [X: name] :
      ( ( perm_name_name @ nil_Pr743626285e_name @ X )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_102_name__calc_I2_J) ).

thf(260,axiom,
    ! [A: name,P: pi,B: name] :
      ( ( fresh_name_pi @ A @ P )
     => ( ( subs @ P @ A @ B )
        = P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_101_forget) ).

thf(261,axiom,
    ! [A: name,P: pi,C: name,B: name] :
      ( ( fresh_name_pi @ A @ P )
     => ( ( A != C )
       => ( fresh_name_pi @ A @ ( subs @ P @ B @ C ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_100_fresh__fact1) ).

thf(262,axiom,
    ! [A: name,B: name,P: pi] :
      ( ( A != B )
     => ( fresh_name_pi @ A @ ( subs @ P @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_99_fresh__fact2) ).

thf(263,axiom,
    ! [A: name,P: pi] : ( fresh_name_pi @ A @ ( res @ A @ P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_98_freshRes) ).

thf(264,axiom,
    ! [Pi: list_P227219501e_name,A: name,X: name > noption_pi] :
      ( ( fresh_543891186ion_pi @ ( perm_name_name @ Pi @ A ) @ ( perm_n1667196784ion_pi @ Pi @ X ) )
      = ( fresh_543891186ion_pi @ A @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_97_fresh__bij) ).

thf(265,axiom,
    ! [Pi: list_P227219501e_name,A: name,X: pi] :
      ( ( fresh_name_pi @ ( perm_name_name @ Pi @ A ) @ ( perm_name_pi @ Pi @ X ) )
      = ( fresh_name_pi @ A @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_96_fresh__bij) ).

thf(266,axiom,
    ! [Pi: list_P227219501e_name,A: name,X: name] :
      ( ( fresh_name_name @ ( perm_name_name @ Pi @ A ) @ ( perm_name_name @ Pi @ X ) )
      = ( fresh_name_name @ A @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_95_fresh__bij) ).

thf(267,axiom,
    ! [Pi: list_P227219501e_name,A: name,X: produc1141751126_pi_pi] :
      ( ( fresh_1376661020_pi_pi @ ( perm_name_name @ Pi @ A ) @ ( perm_n1255502110_pi_pi @ Pi @ X ) )
      = ( fresh_1376661020_pi_pi @ A @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_94_fresh__bij) ).

thf(268,axiom,
    ! [Pi: list_P227219501e_name,A: name,X: product_unit] :
      ( ( fresh_1143631827t_unit @ ( perm_name_name @ Pi @ A ) @ ( perm_n1960409557t_unit @ Pi @ X ) )
      = ( fresh_1143631827t_unit @ A @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_93_fresh__bij) ).

thf(269,axiom,
    ! [Pi: list_P227219501e_name,A: name,X: pi_Rep] :
      ( ( fresh_name_pi_Rep @ ( perm_name_name @ Pi @ A ) @ ( perm_name_pi_Rep @ Pi @ X ) )
      = ( fresh_name_pi_Rep @ A @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_92_fresh__bij) ).

thf(270,axiom,
    ! [Pi: list_P227219501e_name,A: name,X: late_freeRes] :
      ( ( fresh_1641682979reeRes @ ( perm_name_name @ Pi @ A ) @ ( perm_n336613537reeRes @ Pi @ X ) )
      = ( fresh_1641682979reeRes @ A @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_91_fresh__bij) ).

thf(271,axiom,
    ! [Pi: list_P227219501e_name,A: name,X: late_subject] :
      ( ( fresh_717452603ubject @ ( perm_name_name @ Pi @ A ) @ ( perm_n1559866809ubject @ Pi @ X ) )
      = ( fresh_717452603ubject @ A @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_90_fresh__bij) ).

thf(272,axiom,
    ! [Pi: list_P227219501e_name,A: name,X: name > noption_pi] :
      ( ( perm_name_o @ Pi @ ( fresh_543891186ion_pi @ A @ X ) )
      = ( fresh_543891186ion_pi @ ( perm_name_name @ Pi @ A ) @ ( perm_n1667196784ion_pi @ Pi @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_89_fresh__eqvt) ).

thf(273,axiom,
    ! [Pi: list_P227219501e_name,A: name,X: pi] :
      ( ( perm_name_o @ Pi @ ( fresh_name_pi @ A @ X ) )
      = ( fresh_name_pi @ ( perm_name_name @ Pi @ A ) @ ( perm_name_pi @ Pi @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_88_fresh__eqvt) ).

thf(274,axiom,
    ! [Pi: list_P227219501e_name,A: name,X: name] :
      ( ( perm_name_o @ Pi @ ( fresh_name_name @ A @ X ) )
      = ( fresh_name_name @ ( perm_name_name @ Pi @ A ) @ ( perm_name_name @ Pi @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_87_fresh__eqvt) ).

thf(275,axiom,
    ! [Pi: list_P227219501e_name,A: name,X: produc1141751126_pi_pi] :
      ( ( perm_name_o @ Pi @ ( fresh_1376661020_pi_pi @ A @ X ) )
      = ( fresh_1376661020_pi_pi @ ( perm_name_name @ Pi @ A ) @ ( perm_n1255502110_pi_pi @ Pi @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_fresh__eqvt) ).

thf(276,axiom,
    ! [Pi: list_P227219501e_name,A: name,X: product_unit] :
      ( ( perm_name_o @ Pi @ ( fresh_1143631827t_unit @ A @ X ) )
      = ( fresh_1143631827t_unit @ ( perm_name_name @ Pi @ A ) @ ( perm_n1960409557t_unit @ Pi @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_85_fresh__eqvt) ).

thf(277,axiom,
    ! [Pi: list_P227219501e_name,A: name,X: pi_Rep] :
      ( ( perm_name_o @ Pi @ ( fresh_name_pi_Rep @ A @ X ) )
      = ( fresh_name_pi_Rep @ ( perm_name_name @ Pi @ A ) @ ( perm_name_pi_Rep @ Pi @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_84_fresh__eqvt) ).

thf(278,axiom,
    ! [Pi: list_P227219501e_name,A: name,X: late_freeRes] :
      ( ( perm_name_o @ Pi @ ( fresh_1641682979reeRes @ A @ X ) )
      = ( fresh_1641682979reeRes @ ( perm_name_name @ Pi @ A ) @ ( perm_n336613537reeRes @ Pi @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_83_fresh__eqvt) ).

thf(279,axiom,
    ! [Pi: list_P227219501e_name,A: name,X: late_subject] :
      ( ( perm_name_o @ Pi @ ( fresh_717452603ubject @ A @ X ) )
      = ( fresh_717452603ubject @ ( perm_name_name @ Pi @ A ) @ ( perm_n1559866809ubject @ Pi @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_82_fresh__eqvt) ).

thf(280,axiom,
    ! [X: pi] :
      ~ ! [C2: name] :
          ~ ( fresh_name_pi @ C2 @ X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_81_name__exists__fresh) ).

thf(281,axiom,
    ! [X: name] :
      ~ ! [C2: name] :
          ~ ( fresh_name_name @ C2 @ X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_80_name__exists__fresh) ).

thf(282,axiom,
    ! [X: produc1141751126_pi_pi] :
      ~ ! [C2: name] :
          ~ ( fresh_1376661020_pi_pi @ C2 @ X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_79_name__exists__fresh) ).

thf(283,axiom,
    ! [X: product_unit] :
      ~ ! [C2: name] :
          ~ ( fresh_1143631827t_unit @ C2 @ X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_78_name__exists__fresh) ).

thf(284,axiom,
    ! [A: name,Pi: list_P227219501e_name,X: name > noption_pi] :
      ( ( fresh_922791155e_name @ A @ Pi )
     => ( ( fresh_543891186ion_pi @ A @ X )
       => ( fresh_543891186ion_pi @ A @ ( perm_n1667196784ion_pi @ Pi @ X ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_77_fresh__perm__app) ).

thf(285,axiom,
    ! [A: name,Pi: list_P227219501e_name,X: pi] :
      ( ( fresh_922791155e_name @ A @ Pi )
     => ( ( fresh_name_pi @ A @ X )
       => ( fresh_name_pi @ A @ ( perm_name_pi @ Pi @ X ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_76_fresh__perm__app) ).

thf(286,axiom,
    ! [A: name,Pi: list_P227219501e_name,X: name] :
      ( ( fresh_922791155e_name @ A @ Pi )
     => ( ( fresh_name_name @ A @ X )
       => ( fresh_name_name @ A @ ( perm_name_name @ Pi @ X ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_75_fresh__perm__app) ).

thf(287,axiom,
    ! [A: name,Pi: list_P227219501e_name,X: produc1141751126_pi_pi] :
      ( ( fresh_922791155e_name @ A @ Pi )
     => ( ( fresh_1376661020_pi_pi @ A @ X )
       => ( fresh_1376661020_pi_pi @ A @ ( perm_n1255502110_pi_pi @ Pi @ X ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_74_fresh__perm__app) ).

thf(288,axiom,
    ! [A: name,Pi: list_P227219501e_name,X: product_unit] :
      ( ( fresh_922791155e_name @ A @ Pi )
     => ( ( fresh_1143631827t_unit @ A @ X )
       => ( fresh_1143631827t_unit @ A @ ( perm_n1960409557t_unit @ Pi @ X ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_73_fresh__perm__app) ).

thf(289,axiom,
    ! [A: name,Pi: list_P227219501e_name,X: pi_Rep] :
      ( ( fresh_922791155e_name @ A @ Pi )
     => ( ( fresh_name_pi_Rep @ A @ X )
       => ( fresh_name_pi_Rep @ A @ ( perm_name_pi_Rep @ Pi @ X ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_72_fresh__perm__app) ).

thf(290,axiom,
    ! [A: name,Pi: list_P227219501e_name,X: late_freeRes] :
      ( ( fresh_922791155e_name @ A @ Pi )
     => ( ( fresh_1641682979reeRes @ A @ X )
       => ( fresh_1641682979reeRes @ A @ ( perm_n336613537reeRes @ Pi @ X ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_71_fresh__perm__app) ).

thf(291,axiom,
    ! [A: name,Pi: list_P227219501e_name,X: late_subject] :
      ( ( fresh_922791155e_name @ A @ Pi )
     => ( ( fresh_717452603ubject @ A @ X )
       => ( fresh_717452603ubject @ A @ ( perm_n1559866809ubject @ Pi @ X ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_70_fresh__perm__app) ).

thf(292,axiom,
    fresh_717452603ubject @ y @ aa,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_69_Bound_Ohyps_I4_J) ).

thf(293,axiom,
    ! [A: name,X: name > noption_pi,B: name] :
      ( ( fresh_543891186ion_pi @ A @ X )
     => ( ( fresh_543891186ion_pi @ B @ X )
       => ( ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
          = X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_68_name__fresh__fresh) ).

thf(294,axiom,
    ! [A: name,X: pi,B: name] :
      ( ( fresh_name_pi @ A @ X )
     => ( ( fresh_name_pi @ B @ X )
       => ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
          = X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_67_name__fresh__fresh) ).

thf(295,axiom,
    ! [A: name,X: name,B: name] :
      ( ( fresh_name_name @ A @ X )
     => ( ( fresh_name_name @ B @ X )
       => ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
          = X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_66_name__fresh__fresh) ).

thf(296,axiom,
    ! [A: name,X: produc1141751126_pi_pi,B: name] :
      ( ( fresh_1376661020_pi_pi @ A @ X )
     => ( ( fresh_1376661020_pi_pi @ B @ X )
       => ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
          = X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_65_name__fresh__fresh) ).

thf(297,axiom,
    ! [A: name,X: product_unit,B: name] :
      ( ( fresh_1143631827t_unit @ A @ X )
     => ( ( fresh_1143631827t_unit @ B @ X )
       => ( ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
          = X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_64_name__fresh__fresh) ).

thf(298,axiom,
    ! [A: name,X: pi_Rep,B: name] :
      ( ( fresh_name_pi_Rep @ A @ X )
     => ( ( fresh_name_pi_Rep @ B @ X )
       => ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
          = X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_63_name__fresh__fresh) ).

thf(299,axiom,
    ! [A: name,X: late_freeRes,B: name] :
      ( ( fresh_1641682979reeRes @ A @ X )
     => ( ( fresh_1641682979reeRes @ B @ X )
       => ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
          = X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_62_name__fresh__fresh) ).

thf(300,axiom,
    ! [A: name,X: late_subject,B: name] :
      ( ( fresh_717452603ubject @ A @ X )
     => ( ( fresh_717452603ubject @ B @ X )
       => ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
          = X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_61_name__fresh__fresh) ).

thf(301,axiom,
    ! [A: name,X: name > noption_pi,B: name] :
      ( ( fresh_543891186ion_pi @ A @ X )
     => ( ( fresh_543891186ion_pi @ B @ X )
       => ( ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
          = X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_60_perm__fresh__fresh) ).

thf(302,axiom,
    ! [A: name,X: pi,B: name] :
      ( ( fresh_name_pi @ A @ X )
     => ( ( fresh_name_pi @ B @ X )
       => ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
          = X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_59_perm__fresh__fresh) ).

thf(303,axiom,
    ! [A: name,X: name,B: name] :
      ( ( fresh_name_name @ A @ X )
     => ( ( fresh_name_name @ B @ X )
       => ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
          = X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_58_perm__fresh__fresh) ).

thf(304,axiom,
    ! [A: name,X: produc1141751126_pi_pi,B: name] :
      ( ( fresh_1376661020_pi_pi @ A @ X )
     => ( ( fresh_1376661020_pi_pi @ B @ X )
       => ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
          = X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_57_perm__fresh__fresh) ).

thf(305,axiom,
    ! [A: name,X: product_unit,B: name] :
      ( ( fresh_1143631827t_unit @ A @ X )
     => ( ( fresh_1143631827t_unit @ B @ X )
       => ( ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
          = X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_56_perm__fresh__fresh) ).

thf(306,axiom,
    ! [A: name,X: pi_Rep,B: name] :
      ( ( fresh_name_pi_Rep @ A @ X )
     => ( ( fresh_name_pi_Rep @ B @ X )
       => ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
          = X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_55_perm__fresh__fresh) ).

thf(307,axiom,
    ! [A: name,X: late_freeRes,B: name] :
      ( ( fresh_1641682979reeRes @ A @ X )
     => ( ( fresh_1641682979reeRes @ B @ X )
       => ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
          = X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_54_perm__fresh__fresh) ).

thf(308,axiom,
    ! [A: name,X: late_subject,B: name] :
      ( ( fresh_717452603ubject @ A @ X )
     => ( ( fresh_717452603ubject @ B @ X )
       => ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
          = X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_53_perm__fresh__fresh) ).

thf(309,axiom,
    ! [Pi: list_P227219501e_name,X1: name,X2: pi] :
      ( ( perm_name_pi @ Pi @ ( res @ X1 @ X2 ) )
      = ( res @ ( perm_name_name @ Pi @ X1 ) @ ( perm_name_pi @ Pi @ X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_52_pi_Operm_I9_J) ).

thf(310,axiom,
    ! [A: name,X2: pi,X1: pi] :
      ( ( fresh_name_pi @ A @ ( par @ X2 @ X1 ) )
      = ( ( fresh_name_pi @ A @ X2 )
        & ( fresh_name_pi @ A @ X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_51_pi_Ofresh_I8_J) ).

thf(311,axiom,
    fresh_name_pi @ y @ q,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_50__092_060open_062y_____A_092_060sharp_062_AQ_092_060close_062) ).

thf(312,axiom,
    fresh_name_pi @ y @ p,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_49__092_060open_062y_____A_092_060sharp_062_AP_092_060close_062) ).

thf(313,axiom,
    ! [Pi_Rep: pi_Rep] :
      ( ( perm_name_pi_Rep @ nil_Pr743626285e_name @ Pi_Rep )
      = Pi_Rep ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_48_pi__perm__empty) ).

thf(314,axiom,
    ! [P: pi,A: name] :
      ( ( subs @ P @ A @ A )
      = P ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_47_subst__identity) ).

thf(315,axiom,
    fresh_name_pi @ y @ ( par @ p @ q ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_46__092_060open_062y_____A_092_060sharp_062_AP_A_092_060parallel_062_AQ_092_060close_062) ).

thf(316,axiom,
    late_transitions @ q @ ( late_FreeR @ ( late_OutputR @ b @ c ) @ q2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_cComm1_Ohyps_I2_J) ).

thf(317,axiom,
    ! [X: pi] :
      ( ( perm_name_pi @ nil_Pr743626285e_name @ X )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_44_pt__name1) ).

thf(318,axiom,
    ! [X: name] :
      ( ( perm_name_name @ nil_Pr743626285e_name @ X )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_43_pt__name1) ).

thf(319,axiom,
    ! [X: pi_Rep] :
      ( ( perm_name_pi_Rep @ nil_Pr743626285e_name @ X )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_42_pt__name1) ).

thf(320,axiom,
    ! [X: late_freeRes] :
      ( ( perm_n336613537reeRes @ nil_Pr743626285e_name @ X )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_41_pt__name1) ).

thf(321,axiom,
    ! [X: late_subject] :
      ( ( perm_n1559866809ubject @ nil_Pr743626285e_name @ X )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_40_pt__name1) ).

thf(322,axiom,
    ! [X: name,C: name,D: name,P: pi] :
      ( ( X != C )
     => ( ( X != D )
       => ( ( subs @ ( res @ X @ P ) @ C @ D )
          = ( res @ X @ ( subs @ P @ C @ D ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_39_simps_I9_J) ).

thf(323,axiom,
    ! [P: pi,Q: pi,C: name,D: name] :
      ( ( subs @ ( par @ P @ Q ) @ C @ D )
      = ( par @ ( subs @ P @ C @ D ) @ ( subs @ Q @ C @ D ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_simps_I8_J) ).

thf(324,axiom,
    ! [Pi: list_P227219501e_name,X2: pi,X1: pi] :
      ( ( perm_name_pi @ Pi @ ( par @ X2 @ X1 ) )
      = ( par @ ( perm_name_pi @ Pi @ X2 ) @ ( perm_name_pi @ Pi @ X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_37_pi_Operm_I8_J) ).

thf(325,axiom,
    late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ ( late_OutputR @ ab @ x ) @ pq ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_cOpen_Ohyps_I1_J) ).

thf(326,axiom,
    ! [A: name,B: name,X: pi] :
      ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_name__swap__bij) ).

thf(327,axiom,
    ! [A: name,B: name,X: name] :
      ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_34_name__swap__bij) ).

thf(328,axiom,
    ! [A: name,B: name,X: pi_Rep] :
      ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_33_name__swap__bij) ).

thf(329,axiom,
    ! [A: name,B: name,X: late_freeRes] :
      ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32_name__swap__bij) ).

thf(330,axiom,
    ! [A: name,B: name,X: late_subject] :
      ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_31_name__swap__bij) ).

thf(331,axiom,
    ! [A: name,B: name,X: pi] :
      ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
      = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ B @ A ) @ nil_Pr743626285e_name ) @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_30_name__swap) ).

thf(332,axiom,
    ! [A: name,B: name,X: name] :
      ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
      = ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ B @ A ) @ nil_Pr743626285e_name ) @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_29_name__swap) ).

thf(333,axiom,
    ! [A: name,B: name,X: pi_Rep] :
      ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
      = ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ B @ A ) @ nil_Pr743626285e_name ) @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_name__swap) ).

thf(334,axiom,
    ! [A: name,B: name,X: late_freeRes] :
      ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
      = ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ B @ A ) @ nil_Pr743626285e_name ) @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_27_name__swap) ).

thf(335,axiom,
    ! [A: name,B: name,X: late_subject] :
      ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
      = ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ B @ A ) @ nil_Pr743626285e_name ) @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_26_name__swap) ).

thf(336,axiom,
    ! [A: name,X: pi] :
      ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ A ) @ nil_Pr743626285e_name ) @ X )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_25_name__id) ).

thf(337,axiom,
    ! [A: name,X: name] :
      ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ A ) @ nil_Pr743626285e_name ) @ X )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_name__id) ).

thf(338,axiom,
    ! [A: name,X: pi_Rep] :
      ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ A ) @ nil_Pr743626285e_name ) @ X )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_name__id) ).

thf(339,axiom,
    ! [A: name,X: late_freeRes] :
      ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ A ) @ nil_Pr743626285e_name ) @ X )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_name__id) ).

thf(340,axiom,
    ! [A: name,X: late_subject] :
      ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ A ) @ nil_Pr743626285e_name ) @ X )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_name__id) ).

thf(341,axiom,
    ! [A: name,B: name,X: pi] :
      ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_20_perm__swap_I1_J) ).

thf(342,axiom,
    ! [A: name,B: name,X: name] :
      ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_perm__swap_I1_J) ).

thf(343,axiom,
    ! [A: name,B: name,X: pi_Rep] :
      ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_perm__swap_I1_J) ).

thf(344,axiom,
    ! [A: name,B: name,X: late_freeRes] :
      ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_17_perm__swap_I1_J) ).

thf(345,axiom,
    ! [A: name,B: name,X: late_subject] :
      ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_perm__swap_I1_J) ).

thf(346,axiom,
    late_transitions @ p @ ( late_BoundR @ ( late_InputS @ b ) @ ya @ p2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_cComm1_Ohyps_I1_J) ).

thf(347,axiom,
    ! [A: name,P: pi,X: name] :
      ( ( subs @ ( res @ A @ P ) @ X @ A )
      = ( res @ X @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X @ A ) @ nil_Pr743626285e_name ) @ P ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_Strong__Late__Sim__SC__Mirabelle__ygjvazaixl_OsubstRes3) ).

thf(348,axiom,
    fresh_name_pi @ y @ ( par @ p @ ( res @ x @ q ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_Bound_Ohyps_I2_J) ).

thf(349,axiom,
    fresh_name_pi @ y @ ( res @ x @ ( par @ p @ q ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_Bound_Ohyps_I3_J) ).

thf(350,axiom,
    fresh_name_pi @ ya @ q2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_cComm1_Ohyps_I7_J) ).

thf(351,axiom,
    fresh_name_pi @ ya @ q,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_cComm1_Ohyps_I4_J) ).

thf(352,axiom,
    fresh_name_pi @ ya @ p,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_cComm1_Ohyps_I3_J) ).

thf(353,axiom,
    fresh_name_pi @ x @ p,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_assms_I1_J) ).

thf(354,axiom,
    late_transitions @ ( res @ x @ ( par @ p @ q ) ) @ ( late_BoundR @ aa @ y @ xPQ ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_Bound_Ohyps_I1_J) ).

thf(355,axiom,
    y != x,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6__092_060open_062y_____A_092_060noteq_062_Ax_092_060close_062) ).

thf(356,axiom,
    eqvt_pi @ rel,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_assms_I3_J) ).

thf(357,axiom,
    ( aa
    = ( late_BoundOutputS @ ab ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_cOpen_Ohyps_I3_J) ).

thf(358,axiom,
    ya != c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_cComm1_Ohyps_I6_J) ).

thf(359,axiom,
    ab != x,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_cOpen_Ohyps_I2_J) ).

thf(360,axiom,
    ( ( late_OutputR @ ab @ x )
    = late_TauR ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_cComm1_Ohyps_I9_J) ).

thf(361,axiom,
    ya != b,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_cComm1_Ohyps_I5_J) ).

thf(362,conjecture,
    ? [P6: pi] :
      ( ( late_transitions @ ( par @ p @ ( res @ x @ q ) ) @ ( late_BoundR @ ( late_BoundOutputS @ ab ) @ y @ P6 ) )
      & ( strong2129052853vative @ P6 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ ( par @ ( subs @ p2 @ ya @ c ) @ q2 ) ) @ ( late_BoundOutputS @ ab ) @ y @ rel ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(363,negated_conjecture,
    ( ( ? [P6: pi] :
          ( ( late_transitions @ ( par @ p @ ( res @ x @ q ) ) @ ( late_BoundR @ ( late_BoundOutputS @ ab ) @ y @ P6 ) )
          & ( strong2129052853vative @ P6 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ ( par @ ( subs @ p2 @ ya @ c ) @ q2 ) ) @ ( late_BoundOutputS @ ab ) @ y @ rel ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[362]) ).

thf(364,plain,
    ( ( ? [P6: pi] :
          ( ( late_transitions @ ( par @ p @ ( res @ x @ q ) ) @ ( late_BoundR @ ( late_BoundOutputS @ ab ) @ y @ P6 ) )
          & ( strong2129052853vative @ P6 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ ( par @ ( subs @ p2 @ ya @ c ) @ q2 ) ) @ ( late_BoundOutputS @ ab ) @ y @ rel ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[363]) ).

thf(365,plain,
    ( ( ! [X: pi,Y: pi] :
          ( ( if_pi @ $true @ X @ Y )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(366,plain,
    ( ( ! [X: pi,Y: pi] :
          ( ( if_pi @ $false @ X @ Y )
          = Y ) )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(367,plain,
    ( ( ! [A: name,X1: name,X2: pi] :
          ( ( fresh_name_pi @ A @ ( res @ X1 @ X2 ) )
          = ( fresh_543891186ion_pi @ A @ ( abs_fun_name_pi @ X1 @ X2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(368,plain,
    ( ( swap_name2 = swap_name )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(369,plain,
    ( ( defaul1399868459t_unit = product_Unity )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(370,plain,
    ( ( ! [Y: product_unit] : ( Y = product_Unity ) )
    = $true ),
    inference(unfold_def,[status(thm)],[24]) ).

thf(371,plain,
    ( ( ! [P: product_unit > $o,Unit: product_unit] :
          ( ( P @ product_Unity )
         => ( P @ Unit ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[25]) ).

thf(372,plain,
    ( ( ! [A: name,X: name,P: pi,B: late_subject,Y: name,YP: pi,Prop: late_subject > name > pi > $o] :
          ( ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ B @ Y @ YP ) )
         => ( ( Y != A )
           => ( ( Y != X )
             => ( ( fresh_name_pi @ Y @ P )
               => ( ( ( B
                      = ( late_InputS @ A ) )
                   => ( ( YP
                        = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X @ Y ) @ nil_Pr743626285e_name ) @ P ) )
                     => ( Prop @ ( late_InputS @ A ) @ Y @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X @ Y ) @ nil_Pr743626285e_name ) @ P ) ) ) )
                 => ( Prop @ B @ Y @ YP ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[33]) ).

thf(373,plain,
    ( ( ! [Y: late_freeRes] :
          ( ! [X112: name,X122: name] :
              ( Y
             != ( late_OutputR @ X112 @ X122 ) )
         => ( Y = late_TauR ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[36]) ).

thf(374,plain,
    ( ( ! [X11: name,X12: name] :
          ( ( late_OutputR @ X11 @ X12 )
         != late_TauR ) )
    = $true ),
    inference(unfold_def,[status(thm)],[37]) ).

thf(375,plain,
    ( ( ! [X11: name,X12: name,Y11: name,Y12: name] :
          ( ( ( late_OutputR @ X11 @ X12 )
            = ( late_OutputR @ Y11 @ Y12 ) )
          = ( ( X11 = Y11 )
            & ( X12 = Y12 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[38]) ).

thf(376,plain,
    ( ( ! [X1: name,Y1: name] :
          ( ( ( late_InputS @ X1 )
            = ( late_InputS @ Y1 ) )
          = ( X1 = Y1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[39]) ).

thf(377,plain,
    ( ( ! [Pi: list_P227219501e_name,B: $o,C1: name,C22: name] :
          ( ( ( perm_name_o @ Pi @ B )
           => ( ( perm_name_name @ Pi @ ( if_name @ B @ C1 @ C22 ) )
              = ( perm_name_name @ Pi @ C1 ) ) )
          & ( ~ ( perm_name_o @ Pi @ B )
           => ( ( perm_name_name @ Pi @ ( if_name @ B @ C1 @ C22 ) )
              = ( perm_name_name @ Pi @ C22 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[72]) ).

thf(378,plain,
    ( ( ! [Pi: list_P227219501e_name,B: $o,C1: pi_Rep,C22: pi_Rep] :
          ( ( ( perm_name_o @ Pi @ B )
           => ( ( perm_name_pi_Rep @ Pi @ ( if_pi_Rep @ B @ C1 @ C22 ) )
              = ( perm_name_pi_Rep @ Pi @ C1 ) ) )
          & ( ~ ( perm_name_o @ Pi @ B )
           => ( ( perm_name_pi_Rep @ Pi @ ( if_pi_Rep @ B @ C1 @ C22 ) )
              = ( perm_name_pi_Rep @ Pi @ C22 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[73]) ).

thf(379,plain,
    ( ( ! [Pi: list_P227219501e_name,B: $o,C1: late_freeRes,C22: late_freeRes] :
          ( ( ( perm_name_o @ Pi @ B )
           => ( ( perm_n336613537reeRes @ Pi @ ( if_Late_freeRes @ B @ C1 @ C22 ) )
              = ( perm_n336613537reeRes @ Pi @ C1 ) ) )
          & ( ~ ( perm_name_o @ Pi @ B )
           => ( ( perm_n336613537reeRes @ Pi @ ( if_Late_freeRes @ B @ C1 @ C22 ) )
              = ( perm_n336613537reeRes @ Pi @ C22 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[74]) ).

thf(380,plain,
    ( ( ! [Pi: list_P227219501e_name,B: $o,C1: late_subject,C22: late_subject] :
          ( ( ( perm_name_o @ Pi @ B )
           => ( ( perm_n1559866809ubject @ Pi @ ( if_Late_subject @ B @ C1 @ C22 ) )
              = ( perm_n1559866809ubject @ Pi @ C1 ) ) )
          & ( ~ ( perm_name_o @ Pi @ B )
           => ( ( perm_n1559866809ubject @ Pi @ ( if_Late_subject @ B @ C1 @ C22 ) )
              = ( perm_n1559866809ubject @ Pi @ C22 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[75]) ).

thf(381,plain,
    ( ( ! [A: name,X: name,Y: product_prod_pi_pi] :
          ( ( fresh_1376661020_pi_pi @ A @ ( produc235456326_pi_pi @ X @ Y ) )
         => ( fresh_name_name @ A @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[76]) ).

thf(382,plain,
    ( ( ! [X: name,Y: name,Pi: list_P227219501e_name] :
          ( ( X = Y )
         => ( ( perm_name_name @ Pi @ X )
            = ( perm_name_name @ Pi @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[93]) ).

thf(383,plain,
    ( ( ! [X: pi_Rep,Y: pi_Rep,Pi: list_P227219501e_name] :
          ( ( X = Y )
         => ( ( perm_name_pi_Rep @ Pi @ X )
            = ( perm_name_pi_Rep @ Pi @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[94]) ).

thf(384,plain,
    ( ( ! [X: late_freeRes,Y: late_freeRes,Pi: list_P227219501e_name] :
          ( ( X = Y )
         => ( ( perm_n336613537reeRes @ Pi @ X )
            = ( perm_n336613537reeRes @ Pi @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[95]) ).

thf(385,plain,
    ( ( ! [X: late_subject,Y: late_subject,Pi: list_P227219501e_name] :
          ( ( X = Y )
         => ( ( perm_n1559866809ubject @ Pi @ X )
            = ( perm_n1559866809ubject @ Pi @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[96]) ).

thf(386,plain,
    ( ( ! [C: $o,Pi: list_P227219501e_name,X: name,Y: name] :
          ( ( C
           => ( ( perm_name_name @ Pi @ ( if_name @ C @ X @ Y ) )
              = ( perm_name_name @ Pi @ X ) ) )
          & ( ~ C
           => ( ( perm_name_name @ Pi @ ( if_name @ C @ X @ Y ) )
              = ( perm_name_name @ Pi @ Y ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[98]) ).

thf(387,plain,
    ( ( ! [C: $o,Pi: list_P227219501e_name,X: pi_Rep,Y: pi_Rep] :
          ( ( C
           => ( ( perm_name_pi_Rep @ Pi @ ( if_pi_Rep @ C @ X @ Y ) )
              = ( perm_name_pi_Rep @ Pi @ X ) ) )
          & ( ~ C
           => ( ( perm_name_pi_Rep @ Pi @ ( if_pi_Rep @ C @ X @ Y ) )
              = ( perm_name_pi_Rep @ Pi @ Y ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[99]) ).

thf(388,plain,
    ( ( ! [C: $o,Pi: list_P227219501e_name,X: late_freeRes,Y: late_freeRes] :
          ( ( C
           => ( ( perm_n336613537reeRes @ Pi @ ( if_Late_freeRes @ C @ X @ Y ) )
              = ( perm_n336613537reeRes @ Pi @ X ) ) )
          & ( ~ C
           => ( ( perm_n336613537reeRes @ Pi @ ( if_Late_freeRes @ C @ X @ Y ) )
              = ( perm_n336613537reeRes @ Pi @ Y ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[100]) ).

thf(389,plain,
    ( ( ! [C: $o,Pi: list_P227219501e_name,X: late_subject,Y: late_subject] :
          ( ( C
           => ( ( perm_n1559866809ubject @ Pi @ ( if_Late_subject @ C @ X @ Y ) )
              = ( perm_n1559866809ubject @ Pi @ X ) ) )
          & ( ~ C
           => ( ( perm_n1559866809ubject @ Pi @ ( if_Late_subject @ C @ X @ Y ) )
              = ( perm_n1559866809ubject @ Pi @ Y ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[101]) ).

thf(390,plain,
    ( ( ! [Y: name] : ( fresh_1143631827t_unit @ Y @ product_Unity ) )
    = $true ),
    inference(unfold_def,[status(thm)],[103]) ).

thf(391,plain,
    ( ( ! [A: name] : ( fresh_1143631827t_unit @ A @ product_Unity ) )
    = $true ),
    inference(unfold_def,[status(thm)],[104]) ).

thf(392,plain,
    ( ( fresh_name_name
      = ( ^ [A4: name,B3: name] : ( A4 != B3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[105]) ).

thf(393,plain,
    ( ( ! [A: name,X: pi,Xs: list_pi] :
          ( ( fresh_name_list_pi @ A @ ( cons_pi @ X @ Xs ) )
          = ( ( fresh_name_pi @ A @ X )
            & ( fresh_name_list_pi @ A @ Xs ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[108]) ).

thf(394,plain,
    ( ( ! [P: pi,Q: pi,A: late_subject,X: name,Rel: set_Pr1834926343_pi_pi,Perm: list_P227219501e_name] :
          ( ( strong2129052853vative @ P @ Q @ A @ X @ Rel )
         => ( ( eqvt_pi @ Rel )
           => ( strong2129052853vative @ ( perm_name_pi @ Perm @ P ) @ ( perm_name_pi @ Perm @ Q ) @ ( perm_n1559866809ubject @ Perm @ A ) @ ( perm_name_name @ Perm @ X ) @ Rel ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[124]) ).

thf(395,plain,
    ( ( ! [P: pi > late_residual > $o,Z: pi,Residual: late_residual] :
          ( ! [Subject2: late_subject,Name3: name,Pi4: pi,Z2: pi] :
              ( ( fresh_name_pi @ Name3 @ Z2 )
             => ( ( fresh_717452603ubject @ Name3 @ Subject2 )
               => ( P @ Z2 @ ( late_BoundR @ Subject2 @ Name3 @ Pi4 ) ) ) )
         => ( ! [FreeRes2: late_freeRes,Pi4: pi,Z2: pi] : ( P @ Z2 @ ( late_FreeR @ FreeRes2 @ Pi4 ) )
           => ( P @ Z @ Residual ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[131]) ).

thf(396,plain,
    ( ( ! [P: name > late_residual > $o,Z: name,Residual: late_residual] :
          ( ! [Subject2: late_subject,Name3: name,Pi4: pi,Z2: name] :
              ( ( fresh_name_name @ Name3 @ Z2 )
             => ( ( fresh_717452603ubject @ Name3 @ Subject2 )
               => ( P @ Z2 @ ( late_BoundR @ Subject2 @ Name3 @ Pi4 ) ) ) )
         => ( ! [FreeRes2: late_freeRes,Pi4: pi,Z2: name] : ( P @ Z2 @ ( late_FreeR @ FreeRes2 @ Pi4 ) )
           => ( P @ Z @ Residual ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[132]) ).

thf(397,plain,
    ( ( ! [P: produc1141751126_pi_pi > late_residual > $o,Z: produc1141751126_pi_pi,Residual: late_residual] :
          ( ! [Subject2: late_subject,Name3: name,Pi4: pi,Z2: produc1141751126_pi_pi] :
              ( ( fresh_1376661020_pi_pi @ Name3 @ Z2 )
             => ( ( fresh_717452603ubject @ Name3 @ Subject2 )
               => ( P @ Z2 @ ( late_BoundR @ Subject2 @ Name3 @ Pi4 ) ) ) )
         => ( ! [FreeRes2: late_freeRes,Pi4: pi,Z2: produc1141751126_pi_pi] : ( P @ Z2 @ ( late_FreeR @ FreeRes2 @ Pi4 ) )
           => ( P @ Z @ Residual ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[133]) ).

thf(398,plain,
    ( ( ! [P: product_unit > late_residual > $o,Z: product_unit,Residual: late_residual] :
          ( ! [Subject2: late_subject,Name3: name,Pi4: pi,Z2: product_unit] :
              ( ( fresh_1143631827t_unit @ Name3 @ Z2 )
             => ( ( fresh_717452603ubject @ Name3 @ Subject2 )
               => ( P @ Z2 @ ( late_BoundR @ Subject2 @ Name3 @ Pi4 ) ) ) )
         => ( ! [FreeRes2: late_freeRes,Pi4: pi,Z2: product_unit] : ( P @ Z2 @ ( late_FreeR @ FreeRes2 @ Pi4 ) )
           => ( P @ Z @ Residual ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[134]) ).

thf(399,plain,
    ( ( ! [P: pi > late_residual > $o,Z: pi,Residual: late_residual] :
          ( ! [Subject2: late_subject,Name3: name,Pi4: pi,Z2: pi] :
              ( ( fresh_name_pi @ Name3 @ Z2 )
             => ( ( fresh_717452603ubject @ Name3 @ Subject2 )
               => ( P @ Z2 @ ( late_BoundR @ Subject2 @ Name3 @ Pi4 ) ) ) )
         => ( ! [FreeRes2: late_freeRes,Pi4: pi,Z2: pi] : ( P @ Z2 @ ( late_FreeR @ FreeRes2 @ Pi4 ) )
           => ( P @ Z @ Residual ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[135]) ).

thf(400,plain,
    ( ( ! [P: name > late_residual > $o,Z: name,Residual: late_residual] :
          ( ! [Subject2: late_subject,Name3: name,Pi4: pi,Z2: name] :
              ( ( fresh_name_name @ Name3 @ Z2 )
             => ( ( fresh_717452603ubject @ Name3 @ Subject2 )
               => ( P @ Z2 @ ( late_BoundR @ Subject2 @ Name3 @ Pi4 ) ) ) )
         => ( ! [FreeRes2: late_freeRes,Pi4: pi,Z2: name] : ( P @ Z2 @ ( late_FreeR @ FreeRes2 @ Pi4 ) )
           => ( P @ Z @ Residual ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[136]) ).

thf(401,plain,
    ( ( ! [P: produc1141751126_pi_pi > late_residual > $o,Z: produc1141751126_pi_pi,Residual: late_residual] :
          ( ! [Subject2: late_subject,Name3: name,Pi4: pi,Z2: produc1141751126_pi_pi] :
              ( ( fresh_1376661020_pi_pi @ Name3 @ Z2 )
             => ( ( fresh_717452603ubject @ Name3 @ Subject2 )
               => ( P @ Z2 @ ( late_BoundR @ Subject2 @ Name3 @ Pi4 ) ) ) )
         => ( ! [FreeRes2: late_freeRes,Pi4: pi,Z2: produc1141751126_pi_pi] : ( P @ Z2 @ ( late_FreeR @ FreeRes2 @ Pi4 ) )
           => ( P @ Z @ Residual ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[137]) ).

thf(402,plain,
    ( ( ! [P: product_unit > late_residual > $o,Z: product_unit,Residual: late_residual] :
          ( ! [Subject2: late_subject,Name3: name,Pi4: pi,Z2: product_unit] :
              ( ( fresh_1143631827t_unit @ Name3 @ Z2 )
             => ( ( fresh_717452603ubject @ Name3 @ Subject2 )
               => ( P @ Z2 @ ( late_BoundR @ Subject2 @ Name3 @ Pi4 ) ) ) )
         => ( ! [FreeRes2: late_freeRes,Pi4: pi,Z2: product_unit] : ( P @ Z2 @ ( late_FreeR @ FreeRes2 @ Pi4 ) )
           => ( P @ Z @ Residual ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[138]) ).

thf(403,plain,
    ( ( ! [Y: name,P: pi,A: late_subject,X: name,YP: pi,F2: late_subject > pi > $o] :
          ( ( late_transitions @ ( res @ Y @ P ) @ ( late_BoundR @ A @ X @ YP ) )
         => ( ( X != Y )
           => ( ( fresh_name_pi @ X @ P )
             => ( ! [B2: name,P4: pi] :
                    ( ( late_transitions @ P @ ( late_FreeR @ ( late_OutputR @ B2 @ Y ) @ P4 ) )
                   => ( ( B2 != Y )
                     => ( ( A
                          = ( late_BoundOutputS @ B2 ) )
                       => ( F2 @ ( late_BoundOutputS @ B2 ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X @ Y ) @ nil_Pr743626285e_name ) @ P4 ) ) ) ) )
               => ( ! [P4: pi] :
                      ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P4 ) )
                     => ( ( fresh_717452603ubject @ Y @ A )
                       => ( F2 @ A @ ( res @ Y @ P4 ) ) ) )
                 => ( F2 @ A @ YP ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[142]) ).

thf(404,plain,
    ( ( ! [Name12: name,Name23: name] :
          ( ( late_OutputR @ Name12 @ Name23 )
         != late_TauR ) )
    = $true ),
    inference(unfold_def,[status(thm)],[145]) ).

thf(405,plain,
    ( ( ! [P: late_freeRes > $o,FreeRes3: late_freeRes] :
          ( ! [Name1: name,Name22: name] : ( P @ ( late_OutputR @ Name1 @ Name22 ) )
         => ( ( P @ late_TauR )
           => ( P @ FreeRes3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[146]) ).

thf(406,plain,
    ( ( ! [X5: name,P: pi,A: late_subject,Y4: name,P3: pi] :
          ( ( late_transitions @ ( res @ X5 @ P ) @ ( late_BoundR @ A @ Y4 @ P3 ) )
         => ( ! [P5: pi,A3: name,B2: name] :
                ( ( ( res @ X5 @ P )
                  = ( res @ B2 @ P5 ) )
               => ! [P4: pi] :
                    ( ( ( late_BoundR @ A @ Y4 @ P3 )
                      = ( late_BoundR @ ( late_BoundOutputS @ A3 ) @ B2 @ P4 ) )
                   => ( ( late_transitions @ P5 @ ( late_FreeR @ ( late_OutputR @ A3 @ B2 ) @ P4 ) )
                     => ( A3 = B2 ) ) ) )
           => ~ ! [P5: pi,A3: late_subject,X6: name,P4: pi,Y3: name] :
                  ( ( ( res @ X5 @ P )
                    = ( res @ Y3 @ P5 ) )
                 => ( ( ( late_BoundR @ A @ Y4 @ P3 )
                      = ( late_BoundR @ A3 @ X6 @ ( res @ Y3 @ P4 ) ) )
                   => ( ( late_transitions @ P5 @ ( late_BoundR @ A3 @ X6 @ P4 ) )
                     => ( ( fresh_717452603ubject @ Y3 @ A3 )
                       => ( ( Y3 != X6 )
                         => ( ( fresh_name_pi @ X6 @ P5 )
                           => ~ ( fresh_717452603ubject @ X6 @ A3 ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[150]) ).

thf(407,plain,
    ( ( ! [X2: late_freeRes,X1: pi,Y2: late_freeRes,Y1: pi] :
          ( ( ( late_FreeR @ X2 @ X1 )
            = ( late_FreeR @ Y2 @ Y1 ) )
          = ( ( X2 = Y2 )
            & ( X1 = Y1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[151]) ).

thf(408,plain,
    ( ( ! [X: name,P: pi,Rs: late_residual] :
          ( ( late_transitions @ ( res @ X @ P ) @ Rs )
         => ( ! [P5: pi,A3: name,B2: name] :
                ( ( ( res @ X @ P )
                  = ( res @ B2 @ P5 ) )
               => ! [P4: pi] :
                    ( ( Rs
                      = ( late_BoundR @ ( late_BoundOutputS @ A3 ) @ B2 @ P4 ) )
                   => ( ( late_transitions @ P5 @ ( late_FreeR @ ( late_OutputR @ A3 @ B2 ) @ P4 ) )
                     => ( A3 = B2 ) ) ) )
           => ( ! [P5: pi,A3: late_subject,X6: name,P4: pi,Y3: name] :
                  ( ( ( res @ X @ P )
                    = ( res @ Y3 @ P5 ) )
                 => ( ( Rs
                      = ( late_BoundR @ A3 @ X6 @ ( res @ Y3 @ P4 ) ) )
                   => ( ( late_transitions @ P5 @ ( late_BoundR @ A3 @ X6 @ P4 ) )
                     => ( ( fresh_717452603ubject @ Y3 @ A3 )
                       => ( ( Y3 != X6 )
                         => ( ( fresh_name_pi @ X6 @ P5 )
                           => ~ ( fresh_717452603ubject @ X6 @ A3 ) ) ) ) ) ) )
             => ~ ! [P5: pi,Alpha2: late_freeRes,P4: pi,Y3: name] :
                    ( ( ( res @ X @ P )
                      = ( res @ Y3 @ P5 ) )
                   => ( ( Rs
                        = ( late_FreeR @ Alpha2 @ ( res @ Y3 @ P4 ) ) )
                     => ( ( late_transitions @ P5 @ ( late_FreeR @ Alpha2 @ P4 ) )
                       => ~ ( fresh_1641682979reeRes @ Y3 @ Alpha2 ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[152]) ).

thf(409,plain,
    ( ( ! [P: pi,Alpha: late_freeRes,P3: pi,Y: name] :
          ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
         => ( ( fresh_name_pi @ Y @ P )
           => ( fresh_1641682979reeRes @ Y @ Alpha ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[158]) ).

thf(410,plain,
    ( ( ! [Pi: list_P227219501e_name,X: name,Y: name] :
          ( ( ( perm_name_name @ Pi @ X )
            = ( perm_name_name @ Pi @ Y ) )
          = ( X = Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[164]) ).

thf(411,plain,
    ( ( ! [Pi: list_P227219501e_name,X32: late_subject,X1: name,X2: pi] :
          ( ( perm_n414416632sidual @ Pi @ ( late_BoundR @ X32 @ X1 @ X2 ) )
          = ( late_BoundR @ ( perm_n1559866809ubject @ Pi @ X32 ) @ ( perm_name_name @ Pi @ X1 ) @ ( perm_name_pi @ Pi @ X2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[165]) ).

thf(412,plain,
    ( ( ! [A: name,X1: name] :
          ( ( fresh_717452603ubject @ A @ ( late_InputS @ X1 ) )
          = ( fresh_name_name @ A @ X1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[166]) ).

thf(413,plain,
    ( ( ! [Pi: list_P227219501e_name,X1: name] :
          ( ( perm_n1559866809ubject @ Pi @ ( late_InputS @ X1 ) )
          = ( late_InputS @ ( perm_name_name @ Pi @ X1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[169]) ).

thf(414,plain,
    ( ( ! [Pi: list_P227219501e_name,X2: name,X1: name] :
          ( ( perm_n336613537reeRes @ Pi @ ( late_OutputR @ X2 @ X1 ) )
          = ( late_OutputR @ ( perm_name_name @ Pi @ X2 ) @ ( perm_name_name @ Pi @ X1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[170]) ).

thf(415,plain,
    ( ( ! [Pi: list_P227219501e_name,X2: late_freeRes,X1: pi] :
          ( ( perm_n414416632sidual @ Pi @ ( late_FreeR @ X2 @ X1 ) )
          = ( late_FreeR @ ( perm_n336613537reeRes @ Pi @ X2 ) @ ( perm_name_pi @ Pi @ X1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[171]) ).

thf(416,plain,
    ( ( ! [A: name,X2: late_freeRes,X1: pi] :
          ( ( fresh_81631222sidual @ A @ ( late_FreeR @ X2 @ X1 ) )
          = ( ( fresh_1641682979reeRes @ A @ X2 )
            & ( fresh_name_pi @ A @ X1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[173]) ).

thf(417,plain,
    ( ( ! [Pi: list_P227219501e_name] :
          ( ( perm_n336613537reeRes @ Pi @ late_TauR )
          = late_TauR ) )
    = $true ),
    inference(unfold_def,[status(thm)],[175]) ).

thf(418,plain,
    ( ( ! [A: name] : ( fresh_1641682979reeRes @ A @ late_TauR ) )
    = $true ),
    inference(unfold_def,[status(thm)],[176]) ).

thf(419,plain,
    ( ( ! [X2: name,X1: name,Y2: name,Y1: name] :
          ( ( ( late_OutputR @ X2 @ X1 )
            = ( late_OutputR @ Y2 @ Y1 ) )
          = ( ( X2 = Y2 )
            & ( X1 = Y1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[178]) ).

thf(420,plain,
    ( ( ! [A: name,X2: name,X1: name] :
          ( ( fresh_1641682979reeRes @ A @ ( late_OutputR @ X2 @ X1 ) )
          = ( ( fresh_name_name @ A @ X2 )
            & ( fresh_name_name @ A @ X1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[179]) ).

thf(421,plain,
    ( ( ! [P: pi,A: name,X: name,P3: pi,Q: pi,B: name,Q2: pi] :
          ( ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P3 ) )
         => ( ( late_transitions @ Q @ ( late_FreeR @ ( late_OutputR @ A @ B ) @ Q2 ) )
           => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ P3 @ X @ B ) @ Q2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[184]) ).

thf(422,plain,
    ( ( ! [P: pi,A: name,B: name,P3: pi,Q: pi,X: name,Q2: pi] :
          ( ( late_transitions @ P @ ( late_FreeR @ ( late_OutputR @ A @ B ) @ P3 ) )
         => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A ) @ X @ Q2 ) )
           => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ P3 @ ( subs @ Q2 @ X @ B ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[185]) ).

thf(423,plain,
    ( ( ! [P: pi,A: name,X: name,P3: pi,Q: pi,B: name,Q2: pi] :
          ( ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P3 ) )
         => ( ( late_transitions @ Q @ ( late_FreeR @ ( late_OutputR @ A @ B ) @ Q2 ) )
           => ( ( fresh_name_pi @ X @ P )
             => ( ( fresh_name_pi @ X @ Q )
               => ( ( X != A )
                 => ( ( X != B )
                   => ( ( fresh_name_pi @ X @ Q2 )
                     => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ P3 @ X @ B ) @ Q2 ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[186]) ).

thf(424,plain,
    ( ( ! [P: pi,A: name,B: name,P3: pi,Q: pi,X: name,Q2: pi] :
          ( ( late_transitions @ P @ ( late_FreeR @ ( late_OutputR @ A @ B ) @ P3 ) )
         => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A ) @ X @ Q2 ) )
           => ( ( fresh_name_pi @ X @ P )
             => ( ( fresh_name_pi @ X @ Q )
               => ( ( X != A )
                 => ( ( X != B )
                   => ( ( fresh_name_pi @ X @ P3 )
                     => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ P3 @ ( subs @ Q2 @ X @ B ) ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[187]) ).

thf(425,plain,
    ( ( ! [P: pi,A: name,X: name,P3: pi,Q: pi,Y: name,Q2: pi] :
          ( ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P3 ) )
         => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ Y @ Q2 ) )
           => ( ( fresh_name_pi @ Y @ P )
             => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ ( subs @ P3 @ X @ Y ) @ Q2 ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[188]) ).

thf(426,plain,
    ( ( ! [P: pi,A: name,Y: name,P3: pi,Q: pi,X: name,Q2: pi] :
          ( ( late_transitions @ P @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ Y @ P3 ) )
         => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A ) @ X @ Q2 ) )
           => ( ( fresh_name_pi @ Y @ Q )
             => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ P3 @ ( subs @ Q2 @ X @ Y ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[189]) ).

thf(427,plain,
    ( ( ! [P: pi,A: name,X: name,P3: pi,Q: pi,Y: name,Q2: pi] :
          ( ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P3 ) )
         => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ Y @ Q2 ) )
           => ( ( fresh_name_pi @ X @ P )
             => ( ( fresh_name_pi @ X @ Q )
               => ( ( fresh_name_pi @ Y @ P )
                 => ( ( fresh_name_pi @ Y @ Q )
                   => ( ( X != A )
                     => ( ( fresh_name_pi @ X @ Q2 )
                       => ( ( Y != A )
                         => ( ( fresh_name_pi @ Y @ P3 )
                           => ( ( X != Y )
                             => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ ( subs @ P3 @ X @ Y ) @ Q2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[190]) ).

thf(428,plain,
    ( ( ! [P: pi,A: name,Y: name,P3: pi,Q: pi,X: name,Q2: pi] :
          ( ( late_transitions @ P @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ Y @ P3 ) )
         => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A ) @ X @ Q2 ) )
           => ( ( fresh_name_pi @ X @ P )
             => ( ( fresh_name_pi @ X @ Q )
               => ( ( fresh_name_pi @ Y @ P )
                 => ( ( fresh_name_pi @ Y @ Q )
                   => ( ( X != A )
                     => ( ( fresh_name_pi @ X @ P3 )
                       => ( ( Y != A )
                         => ( ( fresh_name_pi @ Y @ Q2 )
                           => ( ( X != Y )
                             => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ P3 @ ( subs @ Q2 @ X @ Y ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[191]) ).

thf(429,plain,
    ( ( ! [Pi: list_P227219501e_name,X: name,Y: name] :
          ( ( perm_name_o @ Pi @ ( X = Y ) )
          = ( ( perm_name_name @ Pi @ X )
            = ( perm_name_name @ Pi @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[203]) ).

thf(430,plain,
    ( ( ! [Pi: list_P227219501e_name,X: pi_Rep,Y: pi_Rep] :
          ( ( perm_name_o @ Pi @ ( X = Y ) )
          = ( ( perm_name_pi_Rep @ Pi @ X )
            = ( perm_name_pi_Rep @ Pi @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[204]) ).

thf(431,plain,
    ( ( ! [Pi: list_P227219501e_name,X: late_freeRes,Y: late_freeRes] :
          ( ( perm_name_o @ Pi @ ( X = Y ) )
          = ( ( perm_n336613537reeRes @ Pi @ X )
            = ( perm_n336613537reeRes @ Pi @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[205]) ).

thf(432,plain,
    ( ( ! [Pi: list_P227219501e_name,X: late_subject,Y: late_subject] :
          ( ( perm_name_o @ Pi @ ( X = Y ) )
          = ( ( perm_n1559866809ubject @ Pi @ X )
            = ( perm_n1559866809ubject @ Pi @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[206]) ).

thf(433,plain,
    ( ( ! [Pi: list_P227219501e_name,F: name > late_freeRes,X: name] :
          ( ( perm_n336613537reeRes @ Pi @ ( F @ X ) )
          = ( perm_n382765978reeRes @ Pi @ F @ ( perm_name_name @ Pi @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[214]) ).

thf(434,plain,
    ( ( ! [Pi: list_P227219501e_name,F: pi_Rep > late_freeRes,X: pi_Rep] :
          ( ( perm_n336613537reeRes @ Pi @ ( F @ X ) )
          = ( perm_n1841560599reeRes @ Pi @ F @ ( perm_name_pi_Rep @ Pi @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[215]) ).

thf(435,plain,
    ( ( ! [Pi: list_P227219501e_name,F: late_freeRes > late_freeRes,X: late_freeRes] :
          ( ( perm_n336613537reeRes @ Pi @ ( F @ X ) )
          = ( perm_n1446290985reeRes @ Pi @ F @ ( perm_n336613537reeRes @ Pi @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[216]) ).

thf(436,plain,
    ( ( ! [Pi: list_P227219501e_name,F: late_subject > late_freeRes,X: late_subject] :
          ( ( perm_n336613537reeRes @ Pi @ ( F @ X ) )
          = ( perm_n443561793reeRes @ Pi @ F @ ( perm_n1559866809ubject @ Pi @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[217]) ).

thf(437,plain,
    ( ( ! [Pi: list_P227219501e_name,F: name > late_subject,X: name] :
          ( ( perm_n1559866809ubject @ Pi @ ( F @ X ) )
          = ( perm_n1387060402ubject @ Pi @ F @ ( perm_name_name @ Pi @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[219]) ).

thf(438,plain,
    ( ( ! [Pi: list_P227219501e_name,F: pi_Rep > late_subject,X: pi_Rep] :
          ( ( perm_n1559866809ubject @ Pi @ ( F @ X ) )
          = ( perm_n698371375ubject @ Pi @ F @ ( perm_name_pi_Rep @ Pi @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[220]) ).

thf(439,plain,
    ( ( ! [Pi: list_P227219501e_name,F: late_freeRes > late_subject,X: late_freeRes] :
          ( ( perm_n1559866809ubject @ Pi @ ( F @ X ) )
          = ( perm_n303101761ubject @ Pi @ F @ ( perm_n336613537reeRes @ Pi @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[221]) ).

thf(440,plain,
    ( ( ! [Pi: list_P227219501e_name,F: late_subject > late_subject,X: late_subject] :
          ( ( perm_n1559866809ubject @ Pi @ ( F @ X ) )
          = ( perm_n1447856217ubject @ Pi @ F @ ( perm_n1559866809ubject @ Pi @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[222]) ).

thf(441,plain,
    ( ( ! [Pi: list_P227219501e_name,X: name,Y: name] :
          ( ( ( perm_name_name @ Pi @ X )
            = ( perm_name_name @ Pi @ Y ) )
          = ( X = Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[224]) ).

thf(442,plain,
    ( ( ! [Pi: list_P227219501e_name,X: pi_Rep,Y: pi_Rep] :
          ( ( ( perm_name_pi_Rep @ Pi @ X )
            = ( perm_name_pi_Rep @ Pi @ Y ) )
          = ( X = Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[225]) ).

thf(443,plain,
    ( ( ! [Pi: list_P227219501e_name,X: late_freeRes,Y: late_freeRes] :
          ( ( ( perm_n336613537reeRes @ Pi @ X )
            = ( perm_n336613537reeRes @ Pi @ Y ) )
          = ( X = Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[226]) ).

thf(444,plain,
    ( ( ! [Pi: list_P227219501e_name,X: late_subject,Y: late_subject] :
          ( ( ( perm_n1559866809ubject @ Pi @ X )
            = ( perm_n1559866809ubject @ Pi @ Y ) )
          = ( X = Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[227]) ).

thf(445,plain,
    ( ( ! [Pi2: list_P227219501e_name,Pi1: list_P227219501e_name,X: name] :
          ( ( perm_name_name @ Pi2 @ ( perm_name_name @ Pi1 @ X ) )
          = ( perm_name_name @ ( perm_n1160739829e_name @ Pi2 @ Pi1 ) @ ( perm_name_name @ Pi2 @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[229]) ).

thf(446,plain,
    ( ( ! [Pi2: list_P227219501e_name,Pi1: list_P227219501e_name,X: pi_Rep] :
          ( ( perm_name_pi_Rep @ Pi2 @ ( perm_name_pi_Rep @ Pi1 @ X ) )
          = ( perm_name_pi_Rep @ ( perm_n1160739829e_name @ Pi2 @ Pi1 ) @ ( perm_name_pi_Rep @ Pi2 @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[230]) ).

thf(447,plain,
    ( ( ! [Pi2: list_P227219501e_name,Pi1: list_P227219501e_name,X: late_freeRes] :
          ( ( perm_n336613537reeRes @ Pi2 @ ( perm_n336613537reeRes @ Pi1 @ X ) )
          = ( perm_n336613537reeRes @ ( perm_n1160739829e_name @ Pi2 @ Pi1 ) @ ( perm_n336613537reeRes @ Pi2 @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[231]) ).

thf(448,plain,
    ( ( ! [Pi2: list_P227219501e_name,Pi1: list_P227219501e_name,X: late_subject] :
          ( ( perm_n1559866809ubject @ Pi2 @ ( perm_n1559866809ubject @ Pi1 @ X ) )
          = ( perm_n1559866809ubject @ ( perm_n1160739829e_name @ Pi2 @ Pi1 ) @ ( perm_n1559866809ubject @ Pi2 @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[232]) ).

thf(449,plain,
    ( ( ! [Pi2: list_P227219501e_name,Pi1: list_P227219501e_name,X: name] :
          ( ( perm_name_name @ Pi2 @ ( perm_name_name @ Pi1 @ X ) )
          = ( perm_name_name @ ( perm_n1160739829e_name @ Pi2 @ Pi1 ) @ ( perm_name_name @ Pi2 @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[234]) ).

thf(450,plain,
    ( ( ! [Pi2: list_P227219501e_name,Pi1: list_P227219501e_name,X: pi_Rep] :
          ( ( perm_name_pi_Rep @ Pi2 @ ( perm_name_pi_Rep @ Pi1 @ X ) )
          = ( perm_name_pi_Rep @ ( perm_n1160739829e_name @ Pi2 @ Pi1 ) @ ( perm_name_pi_Rep @ Pi2 @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[235]) ).

thf(451,plain,
    ( ( ! [Pi2: list_P227219501e_name,Pi1: list_P227219501e_name,X: late_freeRes] :
          ( ( perm_n336613537reeRes @ Pi2 @ ( perm_n336613537reeRes @ Pi1 @ X ) )
          = ( perm_n336613537reeRes @ ( perm_n1160739829e_name @ Pi2 @ Pi1 ) @ ( perm_n336613537reeRes @ Pi2 @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[236]) ).

thf(452,plain,
    ( ( ! [Pi2: list_P227219501e_name,Pi1: list_P227219501e_name,X: late_subject] :
          ( ( perm_n1559866809ubject @ Pi2 @ ( perm_n1559866809ubject @ Pi1 @ X ) )
          = ( perm_n1559866809ubject @ ( perm_n1160739829e_name @ Pi2 @ Pi1 ) @ ( perm_n1559866809ubject @ Pi2 @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[237]) ).

thf(453,plain,
    ( ( ! [Pi1: list_P227219501e_name,Pi2: list_P227219501e_name,X: name] :
          ( ( perm_name_name @ Pi1 @ ( perm_name_name @ Pi2 @ X ) )
          = ( perm_name_name @ ( perm_n1160739829e_name @ Pi1 @ Pi2 ) @ ( perm_name_name @ Pi1 @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[239]) ).

thf(454,plain,
    ( ( ! [Pi1: list_P227219501e_name,Pi2: list_P227219501e_name,X: pi_Rep] :
          ( ( perm_name_pi_Rep @ Pi1 @ ( perm_name_pi_Rep @ Pi2 @ X ) )
          = ( perm_name_pi_Rep @ ( perm_n1160739829e_name @ Pi1 @ Pi2 ) @ ( perm_name_pi_Rep @ Pi1 @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[240]) ).

thf(455,plain,
    ( ( ! [Pi1: list_P227219501e_name,Pi2: list_P227219501e_name,X: late_freeRes] :
          ( ( perm_n336613537reeRes @ Pi1 @ ( perm_n336613537reeRes @ Pi2 @ X ) )
          = ( perm_n336613537reeRes @ ( perm_n1160739829e_name @ Pi1 @ Pi2 ) @ ( perm_n336613537reeRes @ Pi1 @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[241]) ).

thf(456,plain,
    ( ( ! [Pi1: list_P227219501e_name,Pi2: list_P227219501e_name,X: late_subject] :
          ( ( perm_n1559866809ubject @ Pi1 @ ( perm_n1559866809ubject @ Pi2 @ X ) )
          = ( perm_n1559866809ubject @ ( perm_n1160739829e_name @ Pi1 @ Pi2 ) @ ( perm_n1559866809ubject @ Pi1 @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[242]) ).

thf(457,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: name > noption_pi] :
          ( ( fresh_543891186ion_pi @ ( perm_name_name @ Pi @ A ) @ ( perm_n1667196784ion_pi @ Pi @ X ) )
          = ( fresh_543891186ion_pi @ A @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[264]) ).

thf(458,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: name] :
          ( ( fresh_name_name @ ( perm_name_name @ Pi @ A ) @ ( perm_name_name @ Pi @ X ) )
          = ( fresh_name_name @ A @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[266]) ).

thf(459,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: produc1141751126_pi_pi] :
          ( ( fresh_1376661020_pi_pi @ ( perm_name_name @ Pi @ A ) @ ( perm_n1255502110_pi_pi @ Pi @ X ) )
          = ( fresh_1376661020_pi_pi @ A @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[267]) ).

thf(460,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: product_unit] :
          ( ( fresh_1143631827t_unit @ ( perm_name_name @ Pi @ A ) @ ( perm_n1960409557t_unit @ Pi @ X ) )
          = ( fresh_1143631827t_unit @ A @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[268]) ).

thf(461,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: pi_Rep] :
          ( ( fresh_name_pi_Rep @ ( perm_name_name @ Pi @ A ) @ ( perm_name_pi_Rep @ Pi @ X ) )
          = ( fresh_name_pi_Rep @ A @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[269]) ).

thf(462,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: late_freeRes] :
          ( ( fresh_1641682979reeRes @ ( perm_name_name @ Pi @ A ) @ ( perm_n336613537reeRes @ Pi @ X ) )
          = ( fresh_1641682979reeRes @ A @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[270]) ).

thf(463,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: late_subject] :
          ( ( fresh_717452603ubject @ ( perm_name_name @ Pi @ A ) @ ( perm_n1559866809ubject @ Pi @ X ) )
          = ( fresh_717452603ubject @ A @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[271]) ).

thf(464,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: name > noption_pi] :
          ( ( perm_name_o @ Pi @ ( fresh_543891186ion_pi @ A @ X ) )
          = ( fresh_543891186ion_pi @ ( perm_name_name @ Pi @ A ) @ ( perm_n1667196784ion_pi @ Pi @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[272]) ).

thf(465,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: pi] :
          ( ( perm_name_o @ Pi @ ( fresh_name_pi @ A @ X ) )
          = ( fresh_name_pi @ ( perm_name_name @ Pi @ A ) @ ( perm_name_pi @ Pi @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[273]) ).

thf(466,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: name] :
          ( ( perm_name_o @ Pi @ ( fresh_name_name @ A @ X ) )
          = ( fresh_name_name @ ( perm_name_name @ Pi @ A ) @ ( perm_name_name @ Pi @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[274]) ).

thf(467,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: produc1141751126_pi_pi] :
          ( ( perm_name_o @ Pi @ ( fresh_1376661020_pi_pi @ A @ X ) )
          = ( fresh_1376661020_pi_pi @ ( perm_name_name @ Pi @ A ) @ ( perm_n1255502110_pi_pi @ Pi @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[275]) ).

thf(468,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: product_unit] :
          ( ( perm_name_o @ Pi @ ( fresh_1143631827t_unit @ A @ X ) )
          = ( fresh_1143631827t_unit @ ( perm_name_name @ Pi @ A ) @ ( perm_n1960409557t_unit @ Pi @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[276]) ).

thf(469,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: pi_Rep] :
          ( ( perm_name_o @ Pi @ ( fresh_name_pi_Rep @ A @ X ) )
          = ( fresh_name_pi_Rep @ ( perm_name_name @ Pi @ A ) @ ( perm_name_pi_Rep @ Pi @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[277]) ).

thf(470,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: late_freeRes] :
          ( ( perm_name_o @ Pi @ ( fresh_1641682979reeRes @ A @ X ) )
          = ( fresh_1641682979reeRes @ ( perm_name_name @ Pi @ A ) @ ( perm_n336613537reeRes @ Pi @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[278]) ).

thf(471,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: late_subject] :
          ( ( perm_name_o @ Pi @ ( fresh_717452603ubject @ A @ X ) )
          = ( fresh_717452603ubject @ ( perm_name_name @ Pi @ A ) @ ( perm_n1559866809ubject @ Pi @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[279]) ).

thf(472,plain,
    ( ( ! [X: pi] :
          ~ ! [C2: name] :
              ~ ( fresh_name_pi @ C2 @ X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[280]) ).

thf(473,plain,
    ( ( ! [X: name] :
          ~ ! [C2: name] :
              ~ ( fresh_name_name @ C2 @ X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[281]) ).

thf(474,plain,
    ( ( ! [X: produc1141751126_pi_pi] :
          ~ ! [C2: name] :
              ~ ( fresh_1376661020_pi_pi @ C2 @ X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[282]) ).

thf(475,plain,
    ( ( ! [X: product_unit] :
          ~ ! [C2: name] :
              ~ ( fresh_1143631827t_unit @ C2 @ X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[283]) ).

thf(476,plain,
    ( ( ! [A: name,Pi: list_P227219501e_name,X: name > noption_pi] :
          ( ( fresh_922791155e_name @ A @ Pi )
         => ( ( fresh_543891186ion_pi @ A @ X )
           => ( fresh_543891186ion_pi @ A @ ( perm_n1667196784ion_pi @ Pi @ X ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[284]) ).

thf(477,plain,
    ( ( ! [A: name,Pi: list_P227219501e_name,X: name] :
          ( ( fresh_922791155e_name @ A @ Pi )
         => ( ( fresh_name_name @ A @ X )
           => ( fresh_name_name @ A @ ( perm_name_name @ Pi @ X ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[286]) ).

thf(478,plain,
    ( ( ! [A: name,Pi: list_P227219501e_name,X: produc1141751126_pi_pi] :
          ( ( fresh_922791155e_name @ A @ Pi )
         => ( ( fresh_1376661020_pi_pi @ A @ X )
           => ( fresh_1376661020_pi_pi @ A @ ( perm_n1255502110_pi_pi @ Pi @ X ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[287]) ).

thf(479,plain,
    ( ( ! [A: name,Pi: list_P227219501e_name,X: product_unit] :
          ( ( fresh_922791155e_name @ A @ Pi )
         => ( ( fresh_1143631827t_unit @ A @ X )
           => ( fresh_1143631827t_unit @ A @ ( perm_n1960409557t_unit @ Pi @ X ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[288]) ).

thf(480,plain,
    ( ( ! [A: name,Pi: list_P227219501e_name,X: pi_Rep] :
          ( ( fresh_922791155e_name @ A @ Pi )
         => ( ( fresh_name_pi_Rep @ A @ X )
           => ( fresh_name_pi_Rep @ A @ ( perm_name_pi_Rep @ Pi @ X ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[289]) ).

thf(481,plain,
    ( ( ! [A: name,Pi: list_P227219501e_name,X: late_freeRes] :
          ( ( fresh_922791155e_name @ A @ Pi )
         => ( ( fresh_1641682979reeRes @ A @ X )
           => ( fresh_1641682979reeRes @ A @ ( perm_n336613537reeRes @ Pi @ X ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[290]) ).

thf(482,plain,
    ( ( ! [A: name,Pi: list_P227219501e_name,X: late_subject] :
          ( ( fresh_922791155e_name @ A @ Pi )
         => ( ( fresh_717452603ubject @ A @ X )
           => ( fresh_717452603ubject @ A @ ( perm_n1559866809ubject @ Pi @ X ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[291]) ).

thf(483,plain,
    ( ( late_transitions @ q @ ( late_FreeR @ ( late_OutputR @ b @ c ) @ q2 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[316]) ).

thf(484,plain,
    ( ( late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ ( late_OutputR @ ab @ x ) @ pq ) )
    = $true ),
    inference(unfold_def,[status(thm)],[325]) ).

thf(485,plain,
    ( ( ! [P: $o] :
          ( ( P = $true )
          | ( P = $false ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(486,plain,
    ( ( ! [A: name,C: name,B: name] :
          ( ( ( A = C )
           => ( ( swap_name2 @ ( produc1570949143e_name @ A @ B ) @ C )
              = B ) )
          & ( ( A != C )
           => ( ( ( B = C )
               => ( ( swap_name2 @ ( produc1570949143e_name @ A @ B ) @ C )
                  = A ) )
              & ( ( B != C )
               => ( ( swap_name2 @ ( produc1570949143e_name @ A @ B ) @ C )
                  = C ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(487,plain,
    ( ( ! [A: name,B: name,Pi: list_P227219501e_name,X: name] :
          ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ Pi ) @ X )
          = ( swap_name2 @ ( produc1570949143e_name @ A @ B ) @ ( perm_name_name @ Pi @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[15]) ).

thf(488,plain,
    ( ( ! [C: name,P: pi,A: name,X: name] :
          ( ( fresh_name_pi @ C @ P )
         => ( ( input @ A @ X @ P )
            = ( input @ A @ C @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X @ C ) @ nil_Pr743626285e_name ) @ P ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(489,plain,
    ( ( ! [X: name,A: name,Y: name,P: pi,B: name,Z: name,P3: pi] :
          ~ ( late_transitions @ ( res @ X @ ( input @ A @ Y @ P ) ) @ ( late_BoundR @ ( late_BoundOutputS @ B ) @ Z @ P3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(490,plain,
    ( ( ! [A: name,X: name,P: pi,B: late_subject,Y: name,P3: pi] :
          ( ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ B @ Y @ P3 ) )
         => ~ ( fresh_717452603ubject @ A @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[20]) ).

thf(491,plain,
    ( ( ! [X: name,A: name,P: pi] :
          ( ( X != A )
         => ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[21]) ).

thf(492,plain,
    ( ( ! [A: name,X: name,P: pi] : ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[22]) ).

thf(493,plain,
    ( ( ! [A: name,X: name,P: pi,B: name,Y: name,P3: pi] :
          ~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ ( late_BoundOutputS @ B ) @ Y @ P3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[23]) ).

thf(494,plain,
    ( ( ! [X: name,A: name,Y: name,P: pi,Alpha: late_freeRes,P3: pi] :
          ~ ( late_transitions @ ( res @ X @ ( input @ A @ Y @ P ) ) @ ( late_FreeR @ Alpha @ P3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[26]) ).

thf(495,plain,
    ( ( ! [A: name,X: name,P: pi,Alpha: late_freeRes,P3: pi] :
          ~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_FreeR @ Alpha @ P3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[27]) ).

thf(496,plain,
    ( ( ! [X: name,Y: name,P: pi,Rs: late_residual] :
          ~ ( late_transitions @ ( res @ X @ ( input @ X @ Y @ P ) ) @ Rs ) )
    = $true ),
    inference(unfold_def,[status(thm)],[28]) ).

thf(497,plain,
    ( ( ! [Name12: name,Name23: name,Pi: pi,Pi12: pi,Pi22: pi] :
          ( ( input @ Name12 @ Name23 @ Pi )
         != ( par @ Pi12 @ Pi22 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[29]) ).

thf(498,plain,
    ( ( ! [Name12: name,Name23: name,Pi: pi,Name: name,Pi3: pi] :
          ( ( input @ Name12 @ Name23 @ Pi )
         != ( res @ Name @ Pi3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[30]) ).

thf(499,plain,
    ( ( ! [Pi: list_P227219501e_name,X32: name,X1: name,X2: pi] :
          ( ( perm_name_pi @ Pi @ ( input @ X32 @ X1 @ X2 ) )
          = ( input @ ( perm_name_name @ Pi @ X32 ) @ ( perm_name_name @ Pi @ X1 ) @ ( perm_name_pi @ Pi @ X2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[31]) ).

thf(500,plain,
    ( ( ! [X21: produc367475239e_name,X222: list_P227219501e_name,Y21: produc367475239e_name,Y22: list_P227219501e_name] :
          ( ( ( cons_P1213805021e_name @ X21 @ X222 )
            = ( cons_P1213805021e_name @ Y21 @ Y22 ) )
          = ( ( X21 = Y21 )
            & ( X222 = Y22 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[32]) ).

thf(501,plain,
    ( ( ! [X1: name,X2: name] :
          ( ( late_InputS @ X1 )
         != ( late_BoundOutputS @ X2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[34]) ).

thf(502,plain,
    ( ( ! [Y: late_subject] :
          ( ! [X13: name] :
              ( Y
             != ( late_InputS @ X13 ) )
         => ~ ! [X22: name] :
                ( Y
               != ( late_BoundOutputS @ X22 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[35]) ).

thf(503,plain,
    ( ( ! [X2: name,Y2: name] :
          ( ( ( late_BoundOutputS @ X2 )
            = ( late_BoundOutputS @ Y2 ) )
          = ( X2 = Y2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[40]) ).

thf(504,plain,
    ( ( ! [P: pi,Rel: set_Pr1834926343_pi_pi,Q: pi,A: late_subject,X: name,Q2: pi] :
          ( ( strong743114133lation @ P @ Rel @ Q )
         => ( ( late_transitions @ Q @ ( late_BoundR @ A @ X @ Q2 ) )
           => ( ( fresh_name_pi @ X @ P )
             => ? [P4: pi] :
                  ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P4 ) )
                  & ( strong2129052853vative @ P4 @ Q2 @ A @ X @ Rel ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[43]) ).

thf(505,plain,
    ( ( ! [Pi: list_P227219501e_name,X: pi,Xs: list_pi] :
          ( ( perm_name_list_pi @ Pi @ ( cons_pi @ X @ Xs ) )
          = ( cons_pi @ ( perm_name_pi @ Pi @ X ) @ ( perm_name_list_pi @ Pi @ Xs ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[66]) ).

thf(506,plain,
    ( ( ! [Pi: list_P227219501e_name,B: $o,C1: pi,C22: pi] :
          ( ( ( perm_name_o @ Pi @ B )
           => ( ( perm_name_pi @ Pi @ ( if_pi @ B @ C1 @ C22 ) )
              = ( perm_name_pi @ Pi @ C1 ) ) )
          & ( ~ ( perm_name_o @ Pi @ B )
           => ( ( perm_name_pi @ Pi @ ( if_pi @ B @ C1 @ C22 ) )
              = ( perm_name_pi @ Pi @ C22 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[71]) ).

thf(507,plain,
    ( ( ! [A: name,X: name,Y: name] :
          ( ( fresh_441084397e_name @ A @ ( produc1570949143e_name @ X @ Y ) )
         => ( fresh_name_name @ A @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[78]) ).

thf(508,plain,
    ( ( ! [A: name,X: name,Y: name] :
          ( ( fresh_441084397e_name @ A @ ( produc1570949143e_name @ X @ Y ) )
         => ( fresh_name_name @ A @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[81]) ).

thf(509,plain,
    ( ( ! [X: pi,Y: pi,Pi: list_P227219501e_name] :
          ( ( X = Y )
         => ( ( perm_name_pi @ Pi @ X )
            = ( perm_name_pi @ Pi @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[92]) ).

thf(510,plain,
    ( ( ! [C: $o,Pi: list_P227219501e_name,X: pi,Y: pi] :
          ( ( C
           => ( ( perm_name_pi @ Pi @ ( if_pi @ C @ X @ Y ) )
              = ( perm_name_pi @ Pi @ X ) ) )
          & ( ~ C
           => ( ( perm_name_pi @ Pi @ ( if_pi @ C @ X @ Y ) )
              = ( perm_name_pi @ Pi @ Y ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[97]) ).

thf(511,plain,
    ( ( ! [P: list_P227219501e_name > $o] :
          ( ! [X_1: list_P227219501e_name] : ( P @ X_1 )
         => ( P @ nil_Pr743626285e_name ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[102]) ).

thf(512,plain,
    ( ( ! [A: name,X: name,Y: name] :
          ( ( fresh_441084397e_name @ A @ ( produc1570949143e_name @ X @ Y ) )
          = ( ( fresh_name_name @ A @ X )
            & ( fresh_name_name @ A @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[116]) ).

thf(513,plain,
    ( ( ! [P: pi,Q: pi,A: late_subject,X: name,Rel: set_Pr1834926343_pi_pi,Perm: list_P227219501e_name] :
          ( ( strong2129052853vative @ P @ Q @ A @ X @ Rel )
         => ( ( eqvt_pi @ Rel )
           => ( strong2129052853vative @ ( perm_name_pi @ Perm @ P ) @ ( perm_name_pi @ Perm @ Q ) @ A @ ( perm_name_name @ Perm @ X ) @ Rel ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[125]) ).

thf(514,plain,
    ( ( ! [P: pi,A: name,B: name,P3: pi] :
          ( ( late_transitions @ P @ ( late_FreeR @ ( late_OutputR @ A @ B ) @ P3 ) )
         => ( ( A != B )
           => ( late_transitions @ ( res @ B @ P ) @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ B @ P3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[126]) ).

thf(515,plain,
    ( ( ! [P: pi,Q: pi,A: late_subject,X: name,PQ: pi,Prop: pi > $o] :
          ( ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ PQ ) )
         => ( ( fresh_name_pi @ X @ P )
           => ( ( fresh_name_pi @ X @ Q )
             => ( ! [P4: pi] :
                    ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P4 ) )
                   => ( Prop @ ( par @ P4 @ Q ) ) )
               => ( ! [Q4: pi] :
                      ( ( late_transitions @ Q @ ( late_BoundR @ A @ X @ Q4 ) )
                     => ( Prop @ ( par @ P @ Q4 ) ) )
                 => ( Prop @ PQ ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[127]) ).

thf(516,plain,
    ( ( ! [Q: pi,A: late_subject,X: name,Q2: pi,P: pi] :
          ( ( late_transitions @ Q @ ( late_BoundR @ A @ X @ Q2 ) )
         => ( ( fresh_name_pi @ X @ P )
           => ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P @ Q2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[128]) ).

thf(517,plain,
    ( ( ! [P: pi,A: late_subject,X: name,P3: pi,Q: pi] :
          ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P3 ) )
         => ( ( fresh_name_pi @ X @ Q )
           => ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P3 @ Q ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[129]) ).

thf(518,plain,
    ( ( ! [P: pi,Alpha: late_freeRes,P3: pi,Y: name] :
          ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
         => ( ( fresh_name_pi @ Y @ P )
           => ( fresh_name_pi @ Y @ P3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[130]) ).

thf(519,plain,
    ( ( ! [P: pi,A: late_subject,X: name,P3: pi,Y: name] :
          ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P3 ) )
         => ( ( fresh_name_pi @ Y @ P )
           => ( ( Y != X )
             => ( fresh_name_pi @ Y @ P3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[139]) ).

thf(520,plain,
    ( ( ! [Q: pi,Alpha: late_freeRes,Q2: pi,P: pi] :
          ( ( late_transitions @ Q @ ( late_FreeR @ Alpha @ Q2 ) )
         => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P @ Q2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[140]) ).

thf(521,plain,
    ( ( ! [P: pi,Alpha: late_freeRes,P3: pi,Q: pi] :
          ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
         => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P3 @ Q ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[141]) ).

thf(522,plain,
    ( ( ! [P: late_subject > $o,Subject: late_subject] :
          ( ! [Name3: name] : ( P @ ( late_InputS @ Name3 ) )
         => ( ! [Name3: name] : ( P @ ( late_BoundOutputS @ Name3 ) )
           => ( P @ Subject ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[143]) ).

thf(523,plain,
    ( ( ! [Name2: name,Name: name] :
          ( ( late_InputS @ Name2 )
         != ( late_BoundOutputS @ Name ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[144]) ).

thf(524,plain,
    ( ( ! [X1: pi,X2: late_residual,Pi: list_P227219501e_name] :
          ( ( late_transitions @ X1 @ X2 )
         => ( late_transitions @ ( perm_name_pi @ Pi @ X1 ) @ ( perm_n414416632sidual @ Pi @ X2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[147]) ).

thf(525,plain,
    ( ( ! [P: late_residual > $o,Residual: late_residual] :
          ( ! [Subject2: late_subject,Name3: name,Pi4: pi] : ( P @ ( late_BoundR @ Subject2 @ Name3 @ Pi4 ) )
         => ( ! [FreeRes2: late_freeRes,Pi4: pi] : ( P @ ( late_FreeR @ FreeRes2 @ Pi4 ) )
           => ( P @ Residual ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[148]) ).

thf(526,plain,
    ( ( ! [Subject: late_subject,Name2: name,Pi: pi,FreeRes: late_freeRes,Pi3: pi] :
          ( ( late_BoundR @ Subject @ Name2 @ Pi )
         != ( late_FreeR @ FreeRes @ Pi3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[149]) ).

thf(527,plain,
    ( ( ! [Q: pi,A: late_subject,X: name,Q2: pi,P: pi] :
          ( ( late_transitions @ Q @ ( late_BoundR @ A @ X @ Q2 ) )
         => ( ( fresh_name_pi @ X @ P )
           => ( ( fresh_name_pi @ X @ Q )
             => ( ( fresh_717452603ubject @ X @ A )
               => ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P @ Q2 ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[153]) ).

thf(528,plain,
    ( ( ! [P: pi,A: late_subject,X: name,P3: pi,Q: pi] :
          ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P3 ) )
         => ( ( fresh_name_pi @ X @ P )
           => ( ( fresh_name_pi @ X @ Q )
             => ( ( fresh_717452603ubject @ X @ A )
               => ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P3 @ Q ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[154]) ).

thf(529,plain,
    ( ( ! [P: pi,Q: pi,B: late_subject,Y: name,P3: pi] :
          ( ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ B @ Y @ P3 ) )
         => ( ! [P5: pi,A3: late_subject,X6: name,P4: pi,Q3: pi] :
                ( ( ( par @ P @ Q )
                  = ( par @ P5 @ Q3 ) )
               => ( ( ( late_BoundR @ B @ Y @ P3 )
                    = ( late_BoundR @ A3 @ X6 @ ( par @ P4 @ Q3 ) ) )
                 => ( ( late_transitions @ P5 @ ( late_BoundR @ A3 @ X6 @ P4 ) )
                   => ( ( fresh_name_pi @ X6 @ P5 )
                     => ( ( fresh_name_pi @ X6 @ Q3 )
                       => ~ ( fresh_717452603ubject @ X6 @ A3 ) ) ) ) ) )
           => ~ ! [Q3: pi,A3: late_subject,X6: name,Q4: pi,P5: pi] :
                  ( ( ( par @ P @ Q )
                    = ( par @ P5 @ Q3 ) )
                 => ( ( ( late_BoundR @ B @ Y @ P3 )
                      = ( late_BoundR @ A3 @ X6 @ ( par @ P5 @ Q4 ) ) )
                   => ( ( late_transitions @ Q3 @ ( late_BoundR @ A3 @ X6 @ Q4 ) )
                     => ( ( fresh_name_pi @ X6 @ P5 )
                       => ( ( fresh_name_pi @ X6 @ Q3 )
                         => ~ ( fresh_717452603ubject @ X6 @ A3 ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[155]) ).

thf(530,plain,
    ( ( ! [P: pi,A: late_subject,X: name,P3: pi,Y: name] :
          ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P3 ) )
         => ( ( fresh_717452603ubject @ Y @ A )
           => ( ( Y != X )
             => ( ( fresh_name_pi @ X @ P )
               => ( ( fresh_717452603ubject @ X @ A )
                 => ( late_transitions @ ( res @ Y @ P ) @ ( late_BoundR @ A @ X @ ( res @ Y @ P3 ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[156]) ).

thf(531,plain,
    ( ( ! [P: pi,A: late_subject,X: name,P3: pi,Y: name] :
          ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P3 ) )
         => ( ( fresh_name_pi @ Y @ P )
           => ( fresh_717452603ubject @ Y @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[157]) ).

thf(532,plain,
    ( ( ! [P: pi,A: late_subject,X: name,P3: pi,Y: name] :
          ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P3 ) )
         => ( ( fresh_717452603ubject @ Y @ A )
           => ( ( Y != X )
             => ( late_transitions @ ( res @ Y @ P ) @ ( late_BoundR @ A @ X @ ( res @ Y @ P3 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[159]) ).

thf(533,plain,
    ( ( ! [P: pi,Alpha: late_freeRes,P3: pi,Y: name] :
          ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
         => ( ( fresh_1641682979reeRes @ Y @ Alpha )
           => ( late_transitions @ ( res @ Y @ P ) @ ( late_FreeR @ Alpha @ ( res @ Y @ P3 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[160]) ).

thf(534,plain,
    ( ( ! [X: name,P: pi,Alpha: late_freeRes,P3: pi] :
          ( ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ P3 ) )
         => ~ ! [P5: pi,Alpha2: late_freeRes,P4: pi,Y3: name] :
                ( ( ( res @ X @ P )
                  = ( res @ Y3 @ P5 ) )
               => ( ( ( late_FreeR @ Alpha @ P3 )
                    = ( late_FreeR @ Alpha2 @ ( res @ Y3 @ P4 ) ) )
                 => ( ( late_transitions @ P5 @ ( late_FreeR @ Alpha2 @ P4 ) )
                   => ~ ( fresh_1641682979reeRes @ Y3 @ Alpha2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[161]) ).

thf(535,plain,
    ( ( ! [X: name,P: pi,Alpha: late_freeRes,XP: pi,F2: pi > $o] :
          ( ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ XP ) )
         => ( ! [P4: pi] :
                ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P4 ) )
               => ( ( fresh_1641682979reeRes @ X @ Alpha )
                 => ( F2 @ ( res @ X @ P4 ) ) ) )
           => ( F2 @ XP ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[162]) ).

thf(536,plain,
    ( ( ! [P: pi,Rs: late_residual,X: name] :
          ( ( late_transitions @ P @ Rs )
         => ( ( fresh_name_pi @ X @ P )
           => ( fresh_81631222sidual @ X @ Rs ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[163]) ).

thf(537,plain,
    ( ( ! [A: name,X1: name] :
          ( ( fresh_717452603ubject @ A @ ( late_BoundOutputS @ X1 ) )
          = ( fresh_name_name @ A @ X1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[167]) ).

thf(538,plain,
    ( ( ! [Pi: list_P227219501e_name,X1: name] :
          ( ( perm_n1559866809ubject @ Pi @ ( late_BoundOutputS @ X1 ) )
          = ( late_BoundOutputS @ ( perm_name_name @ Pi @ X1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[168]) ).

thf(539,plain,
    ( ( ! [B: name,P: pi,A: name,C: name] :
          ( ( fresh_name_pi @ B @ P )
         => ( ( subs @ ( subs @ P @ A @ B ) @ B @ C )
            = ( subs @ P @ A @ C ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[172]) ).

thf(540,plain,
    ( ( fresh_1143631827t_unit @ ya @ product_Unity )
    = $true ),
    inference(unfold_def,[status(thm)],[174]) ).

thf(541,plain,
    ( ( ! [X1: name,Y1: name] :
          ( ( ( late_BoundOutputS @ X1 )
            = ( late_BoundOutputS @ Y1 ) )
          = ( X1 = Y1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[177]) ).

thf(542,plain,
    ( ( ! [Residual_Rep: late_residual_Rep] :
          ( ( perm_n890803237al_Rep @ nil_Pr743626285e_name @ Residual_Rep )
          = Residual_Rep ) )
    = $true ),
    inference(unfold_def,[status(thm)],[180]) ).

thf(543,plain,
    ( ( ! [Subject_Rep: late_subject_Rep] :
          ( ( perm_n697952036ct_Rep @ nil_Pr743626285e_name @ Subject_Rep )
          = Subject_Rep ) )
    = $true ),
    inference(unfold_def,[status(thm)],[181]) ).

thf(544,plain,
    ( ( ! [FreeRes_Rep: late_freeRes_Rep] :
          ( ( perm_n1938283068es_Rep @ nil_Pr743626285e_name @ FreeRes_Rep )
          = FreeRes_Rep ) )
    = $true ),
    inference(unfold_def,[status(thm)],[182]) ).

thf(545,plain,
    ( ( ! [X5: name,P: pi,A: late_subject,X: name] :
          ( ( fresh_name_pi @ X5 @ P )
         => ( ( late_BoundR @ A @ X @ P )
            = ( late_BoundR @ A @ X5 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X @ X5 ) @ nil_Pr743626285e_name ) @ P ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[183]) ).

thf(546,plain,
    ( ( ! [A: name,B: name,X: pi] :
          ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ B @ A ) @ nil_Pr743626285e_name ) @ X ) )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[192]) ).

thf(547,plain,
    ( ( ! [A: name,B: name,X: name] :
          ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ B @ A ) @ nil_Pr743626285e_name ) @ X ) )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[193]) ).

thf(548,plain,
    ( ( ! [A: name,B: name,X: pi_Rep] :
          ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ B @ A ) @ nil_Pr743626285e_name ) @ X ) )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[194]) ).

thf(549,plain,
    ( ( ! [A: name,B: name,X: late_freeRes] :
          ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ B @ A ) @ nil_Pr743626285e_name ) @ X ) )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[195]) ).

thf(550,plain,
    ( ( ! [A: name,B: name,X: late_subject] :
          ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ B @ A ) @ nil_Pr743626285e_name ) @ X ) )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[196]) ).

thf(551,plain,
    ( ( ! [Pi1: pi,Pi2: pi,Name: name,Pi3: pi] :
          ( ( par @ Pi1 @ Pi2 )
         != ( res @ Name @ Pi3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[197]) ).

thf(552,plain,
    ( ( ! [C: name,P: pi,A: name,B: name] :
          ( ( fresh_name_pi @ C @ P )
         => ( ( subs @ P @ A @ B )
            = ( subs @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ C @ A ) @ nil_Pr743626285e_name ) @ P ) @ C @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[198]) ).

thf(553,plain,
    ( ( ! [B: name,P: pi,A: name] :
          ( ( fresh_name_pi @ B @ P )
         => ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ P )
            = ( subs @ P @ A @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[199]) ).

thf(554,plain,
    ( ( ! [C: name,P: pi,A: name] :
          ( ( fresh_name_pi @ C @ P )
         => ( ( res @ A @ P )
            = ( res @ C @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ C ) @ nil_Pr743626285e_name ) @ P ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[200]) ).

thf(555,plain,
    ( ( ! [X2: pi,X1: pi,Y2: pi,Y1: pi] :
          ( ( ( par @ X2 @ X1 )
            = ( par @ Y2 @ Y1 ) )
          = ( ( X2 = Y2 )
            & ( X1 = Y1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[201]) ).

thf(556,plain,
    ( ( ! [Pi: list_P227219501e_name,X: pi,Y: pi] :
          ( ( perm_name_o @ Pi @ ( X = Y ) )
          = ( ( perm_name_pi @ Pi @ X )
            = ( perm_name_pi @ Pi @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[202]) ).

thf(557,plain,
    ( ( ! [Pi: list_P227219501e_name,F: pi > late_freeRes,X: pi] :
          ( ( perm_n336613537reeRes @ Pi @ ( F @ X ) )
          = ( perm_n1333244520reeRes @ Pi @ F @ ( perm_name_pi @ Pi @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[213]) ).

thf(558,plain,
    ( ( ! [Pi: list_P227219501e_name,F: pi > late_subject,X: pi] :
          ( ( perm_n1559866809ubject @ Pi @ ( F @ X ) )
          = ( perm_n190055296ubject @ Pi @ F @ ( perm_name_pi @ Pi @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[218]) ).

thf(559,plain,
    ( ( ! [Pi: list_P227219501e_name,X: pi,Y: pi] :
          ( ( ( perm_name_pi @ Pi @ X )
            = ( perm_name_pi @ Pi @ Y ) )
          = ( X = Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[223]) ).

thf(560,plain,
    ( ( ! [Pi2: list_P227219501e_name,Pi1: list_P227219501e_name,X: pi] :
          ( ( perm_name_pi @ Pi2 @ ( perm_name_pi @ Pi1 @ X ) )
          = ( perm_name_pi @ ( perm_n1160739829e_name @ Pi2 @ Pi1 ) @ ( perm_name_pi @ Pi2 @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[228]) ).

thf(561,plain,
    ( ( ! [Pi2: list_P227219501e_name,Pi1: list_P227219501e_name,X: pi] :
          ( ( perm_name_pi @ Pi2 @ ( perm_name_pi @ Pi1 @ X ) )
          = ( perm_name_pi @ ( perm_n1160739829e_name @ Pi2 @ Pi1 ) @ ( perm_name_pi @ Pi2 @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[233]) ).

thf(562,plain,
    ( ( ! [Pi1: list_P227219501e_name,Pi2: list_P227219501e_name,X: pi] :
          ( ( perm_name_pi @ Pi1 @ ( perm_name_pi @ Pi2 @ X ) )
          = ( perm_name_pi @ ( perm_n1160739829e_name @ Pi1 @ Pi2 ) @ ( perm_name_pi @ Pi1 @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[238]) ).

thf(563,plain,
    ( ( ! [C: name,A: name,X: name > noption_pi,B: name] :
          ( ( C != A )
         => ( ( fresh_543891186ion_pi @ A @ X )
           => ( ( fresh_543891186ion_pi @ C @ X )
             => ( fresh_543891186ion_pi @ C @ ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[243]) ).

thf(564,plain,
    ( ( ! [C: name,A: name,X: pi,B: name] :
          ( ( C != A )
         => ( ( fresh_name_pi @ A @ X )
           => ( ( fresh_name_pi @ C @ X )
             => ( fresh_name_pi @ C @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[244]) ).

thf(565,plain,
    ( ( ! [C: name,A: name,X: name,B: name] :
          ( ( C != A )
         => ( ( fresh_name_name @ A @ X )
           => ( ( fresh_name_name @ C @ X )
             => ( fresh_name_name @ C @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[245]) ).

thf(566,plain,
    ( ( ! [C: name,A: name,X: produc1141751126_pi_pi,B: name] :
          ( ( C != A )
         => ( ( fresh_1376661020_pi_pi @ A @ X )
           => ( ( fresh_1376661020_pi_pi @ C @ X )
             => ( fresh_1376661020_pi_pi @ C @ ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[246]) ).

thf(567,plain,
    ( ( ! [C: name,A: name,X: product_unit,B: name] :
          ( ( C != A )
         => ( ( fresh_1143631827t_unit @ A @ X )
           => ( ( fresh_1143631827t_unit @ C @ X )
             => ( fresh_1143631827t_unit @ C @ ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[247]) ).

thf(568,plain,
    ( ( ! [C: name,A: name,X: pi_Rep,B: name] :
          ( ( C != A )
         => ( ( fresh_name_pi_Rep @ A @ X )
           => ( ( fresh_name_pi_Rep @ C @ X )
             => ( fresh_name_pi_Rep @ C @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[248]) ).

thf(569,plain,
    ( ( ! [C: name,A: name,X: late_freeRes,B: name] :
          ( ( C != A )
         => ( ( fresh_1641682979reeRes @ A @ X )
           => ( ( fresh_1641682979reeRes @ C @ X )
             => ( fresh_1641682979reeRes @ C @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[249]) ).

thf(570,plain,
    ( ( ! [C: name,A: name,X: late_subject,B: name] :
          ( ( C != A )
         => ( ( fresh_717452603ubject @ A @ X )
           => ( ( fresh_717452603ubject @ C @ X )
             => ( fresh_717452603ubject @ C @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[250]) ).

thf(571,plain,
    ( ( ! [A: name,C: name,B: name] :
          ( ( A != C )
         => ( ( B != C )
           => ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ C )
              = C ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[251]) ).

thf(572,plain,
    ( ( ! [A: name,B: name] :
          ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ B )
          = A ) )
    = $true ),
    inference(unfold_def,[status(thm)],[252]) ).

thf(573,plain,
    ( ( ! [A: name,B: name] :
          ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ A )
          = B ) )
    = $true ),
    inference(unfold_def,[status(thm)],[253]) ).

thf(574,plain,
    ( ( ! [P2: list_P227219501e_name,P: pi,A: name,B: name] :
          ( ( perm_name_pi @ P2 @ ( subs @ P @ A @ B ) )
          = ( subs @ ( perm_name_pi @ P2 @ P ) @ ( perm_name_name @ P2 @ A ) @ ( perm_name_name @ P2 @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[254]) ).

thf(575,plain,
    ( ( ! [B: name,P: pi,A: name] :
          ( ( fresh_name_pi @ B @ P )
         => ( ( res @ A @ P )
            = ( res @ B @ ( subs @ P @ A @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[255]) ).

thf(576,plain,
    ( ( ! [B: name,P: pi,A: name] :
          ( ( fresh_name_pi @ B @ P )
         => ( ( subs @ ( res @ A @ P ) @ A @ B )
            = ( res @ B @ ( subs @ P @ A @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[256]) ).

thf(577,plain,
    ( ( ! [X: name] :
          ( ( perm_name_name @ nil_Pr743626285e_name @ X )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[259]) ).

thf(578,plain,
    ( ( ! [A: name,P: pi,B: name] :
          ( ( fresh_name_pi @ A @ P )
         => ( ( subs @ P @ A @ B )
            = P ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[260]) ).

thf(579,plain,
    ( ( ! [A: name,P: pi,C: name,B: name] :
          ( ( fresh_name_pi @ A @ P )
         => ( ( A != C )
           => ( fresh_name_pi @ A @ ( subs @ P @ B @ C ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[261]) ).

thf(580,plain,
    ( ( ! [A: name,B: name,P: pi] :
          ( ( A != B )
         => ( fresh_name_pi @ A @ ( subs @ P @ A @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[262]) ).

thf(581,plain,
    ( ( ! [A: name,P: pi] : ( fresh_name_pi @ A @ ( res @ A @ P ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[263]) ).

thf(582,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: pi] :
          ( ( fresh_name_pi @ ( perm_name_name @ Pi @ A ) @ ( perm_name_pi @ Pi @ X ) )
          = ( fresh_name_pi @ A @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[265]) ).

thf(583,plain,
    ( ( ! [A: name,Pi: list_P227219501e_name,X: pi] :
          ( ( fresh_922791155e_name @ A @ Pi )
         => ( ( fresh_name_pi @ A @ X )
           => ( fresh_name_pi @ A @ ( perm_name_pi @ Pi @ X ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[285]) ).

thf(584,plain,
    ( ( fresh_717452603ubject @ y @ aa )
    = $true ),
    inference(unfold_def,[status(thm)],[292]) ).

thf(585,plain,
    ( ( ! [A: name,X: name > noption_pi,B: name] :
          ( ( fresh_543891186ion_pi @ A @ X )
         => ( ( fresh_543891186ion_pi @ B @ X )
           => ( ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
              = X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[293]) ).

thf(586,plain,
    ( ( ! [A: name,X: pi,B: name] :
          ( ( fresh_name_pi @ A @ X )
         => ( ( fresh_name_pi @ B @ X )
           => ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
              = X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[294]) ).

thf(587,plain,
    ( ( ! [A: name,X: name,B: name] :
          ( ( fresh_name_name @ A @ X )
         => ( ( fresh_name_name @ B @ X )
           => ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
              = X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[295]) ).

thf(588,plain,
    ( ( ! [A: name,X: produc1141751126_pi_pi,B: name] :
          ( ( fresh_1376661020_pi_pi @ A @ X )
         => ( ( fresh_1376661020_pi_pi @ B @ X )
           => ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
              = X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[296]) ).

thf(589,plain,
    ( ( ! [A: name,X: product_unit,B: name] :
          ( ( fresh_1143631827t_unit @ A @ X )
         => ( ( fresh_1143631827t_unit @ B @ X )
           => ( ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
              = X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[297]) ).

thf(590,plain,
    ( ( ! [A: name,X: pi_Rep,B: name] :
          ( ( fresh_name_pi_Rep @ A @ X )
         => ( ( fresh_name_pi_Rep @ B @ X )
           => ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
              = X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[298]) ).

thf(591,plain,
    ( ( ! [A: name,X: late_freeRes,B: name] :
          ( ( fresh_1641682979reeRes @ A @ X )
         => ( ( fresh_1641682979reeRes @ B @ X )
           => ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
              = X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[299]) ).

thf(592,plain,
    ( ( ! [A: name,X: late_subject,B: name] :
          ( ( fresh_717452603ubject @ A @ X )
         => ( ( fresh_717452603ubject @ B @ X )
           => ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
              = X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[300]) ).

thf(593,plain,
    ( ( ! [A: name,X: name > noption_pi,B: name] :
          ( ( fresh_543891186ion_pi @ A @ X )
         => ( ( fresh_543891186ion_pi @ B @ X )
           => ( ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
              = X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[301]) ).

thf(594,plain,
    ( ( ! [A: name,X: pi,B: name] :
          ( ( fresh_name_pi @ A @ X )
         => ( ( fresh_name_pi @ B @ X )
           => ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
              = X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[302]) ).

thf(595,plain,
    ( ( ! [A: name,X: name,B: name] :
          ( ( fresh_name_name @ A @ X )
         => ( ( fresh_name_name @ B @ X )
           => ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
              = X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[303]) ).

thf(596,plain,
    ( ( ! [A: name,X: produc1141751126_pi_pi,B: name] :
          ( ( fresh_1376661020_pi_pi @ A @ X )
         => ( ( fresh_1376661020_pi_pi @ B @ X )
           => ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
              = X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[304]) ).

thf(597,plain,
    ( ( ! [A: name,X: product_unit,B: name] :
          ( ( fresh_1143631827t_unit @ A @ X )
         => ( ( fresh_1143631827t_unit @ B @ X )
           => ( ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
              = X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[305]) ).

thf(598,plain,
    ( ( ! [A: name,X: pi_Rep,B: name] :
          ( ( fresh_name_pi_Rep @ A @ X )
         => ( ( fresh_name_pi_Rep @ B @ X )
           => ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
              = X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[306]) ).

thf(599,plain,
    ( ( ! [A: name,X: late_freeRes,B: name] :
          ( ( fresh_1641682979reeRes @ A @ X )
         => ( ( fresh_1641682979reeRes @ B @ X )
           => ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
              = X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[307]) ).

thf(600,plain,
    ( ( ! [A: name,X: late_subject,B: name] :
          ( ( fresh_717452603ubject @ A @ X )
         => ( ( fresh_717452603ubject @ B @ X )
           => ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
              = X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[308]) ).

thf(601,plain,
    ( ( ! [Pi: list_P227219501e_name,X1: name,X2: pi] :
          ( ( perm_name_pi @ Pi @ ( res @ X1 @ X2 ) )
          = ( res @ ( perm_name_name @ Pi @ X1 ) @ ( perm_name_pi @ Pi @ X2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[309]) ).

thf(602,plain,
    ( ( ! [A: name,X2: pi,X1: pi] :
          ( ( fresh_name_pi @ A @ ( par @ X2 @ X1 ) )
          = ( ( fresh_name_pi @ A @ X2 )
            & ( fresh_name_pi @ A @ X1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[310]) ).

thf(603,plain,
    ( ( fresh_name_pi @ y @ q )
    = $true ),
    inference(unfold_def,[status(thm)],[311]) ).

thf(604,plain,
    ( ( fresh_name_pi @ y @ p )
    = $true ),
    inference(unfold_def,[status(thm)],[312]) ).

thf(605,plain,
    ( ( ! [Pi_Rep: pi_Rep] :
          ( ( perm_name_pi_Rep @ nil_Pr743626285e_name @ Pi_Rep )
          = Pi_Rep ) )
    = $true ),
    inference(unfold_def,[status(thm)],[313]) ).

thf(606,plain,
    ( ( ! [P: pi,A: name] :
          ( ( subs @ P @ A @ A )
          = P ) )
    = $true ),
    inference(unfold_def,[status(thm)],[314]) ).

thf(607,plain,
    ( ( fresh_name_pi @ y @ ( par @ p @ q ) )
    = $true ),
    inference(unfold_def,[status(thm)],[315]) ).

thf(608,plain,
    ( ( ! [X: pi] :
          ( ( perm_name_pi @ nil_Pr743626285e_name @ X )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[317]) ).

thf(609,plain,
    ( ( ! [X: name] :
          ( ( perm_name_name @ nil_Pr743626285e_name @ X )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[318]) ).

thf(610,plain,
    ( ( ! [X: pi_Rep] :
          ( ( perm_name_pi_Rep @ nil_Pr743626285e_name @ X )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[319]) ).

thf(611,plain,
    ( ( ! [X: late_freeRes] :
          ( ( perm_n336613537reeRes @ nil_Pr743626285e_name @ X )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[320]) ).

thf(612,plain,
    ( ( ! [X: late_subject] :
          ( ( perm_n1559866809ubject @ nil_Pr743626285e_name @ X )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[321]) ).

thf(613,plain,
    ( ( ! [X: name,C: name,D: name,P: pi] :
          ( ( X != C )
         => ( ( X != D )
           => ( ( subs @ ( res @ X @ P ) @ C @ D )
              = ( res @ X @ ( subs @ P @ C @ D ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[322]) ).

thf(614,plain,
    ( ( ! [P: pi,Q: pi,C: name,D: name] :
          ( ( subs @ ( par @ P @ Q ) @ C @ D )
          = ( par @ ( subs @ P @ C @ D ) @ ( subs @ Q @ C @ D ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[323]) ).

thf(615,plain,
    ( ( ! [Pi: list_P227219501e_name,X2: pi,X1: pi] :
          ( ( perm_name_pi @ Pi @ ( par @ X2 @ X1 ) )
          = ( par @ ( perm_name_pi @ Pi @ X2 ) @ ( perm_name_pi @ Pi @ X1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[324]) ).

thf(616,plain,
    ( ( ! [A: name,B: name,X: pi] :
          ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[326]) ).

thf(617,plain,
    ( ( ! [A: name,B: name,X: name] :
          ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[327]) ).

thf(618,plain,
    ( ( ! [A: name,B: name,X: pi_Rep] :
          ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[328]) ).

thf(619,plain,
    ( ( ! [A: name,B: name,X: late_freeRes] :
          ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[329]) ).

thf(620,plain,
    ( ( ! [A: name,B: name,X: late_subject] :
          ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[330]) ).

thf(621,plain,
    ( ( ! [A: name,B: name,X: pi] :
          ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
          = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ B @ A ) @ nil_Pr743626285e_name ) @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[331]) ).

thf(622,plain,
    ( ( ! [A: name,B: name,X: name] :
          ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
          = ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ B @ A ) @ nil_Pr743626285e_name ) @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[332]) ).

thf(623,plain,
    ( ( ! [A: name,B: name,X: pi_Rep] :
          ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
          = ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ B @ A ) @ nil_Pr743626285e_name ) @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[333]) ).

thf(624,plain,
    ( ( ! [A: name,B: name,X: late_freeRes] :
          ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
          = ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ B @ A ) @ nil_Pr743626285e_name ) @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[334]) ).

thf(625,plain,
    ( ( ! [A: name,B: name,X: late_subject] :
          ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
          = ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ B @ A ) @ nil_Pr743626285e_name ) @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[335]) ).

thf(626,plain,
    ( ( ! [A: name,X: pi] :
          ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ A ) @ nil_Pr743626285e_name ) @ X )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[336]) ).

thf(627,plain,
    ( ( ! [A: name,X: name] :
          ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ A ) @ nil_Pr743626285e_name ) @ X )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[337]) ).

thf(628,plain,
    ( ( ! [A: name,X: pi_Rep] :
          ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ A ) @ nil_Pr743626285e_name ) @ X )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[338]) ).

thf(629,plain,
    ( ( ! [A: name,X: late_freeRes] :
          ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ A ) @ nil_Pr743626285e_name ) @ X )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[339]) ).

thf(630,plain,
    ( ( ! [A: name,X: late_subject] :
          ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ A ) @ nil_Pr743626285e_name ) @ X )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[340]) ).

thf(631,plain,
    ( ( ! [A: name,B: name,X: pi] :
          ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[341]) ).

thf(632,plain,
    ( ( ! [A: name,B: name,X: name] :
          ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[342]) ).

thf(633,plain,
    ( ( ! [A: name,B: name,X: pi_Rep] :
          ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[343]) ).

thf(634,plain,
    ( ( ! [A: name,B: name,X: late_freeRes] :
          ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[344]) ).

thf(635,plain,
    ( ( ! [A: name,B: name,X: late_subject] :
          ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[345]) ).

thf(636,plain,
    ( ( late_transitions @ p @ ( late_BoundR @ ( late_InputS @ b ) @ ya @ p2 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[346]) ).

thf(637,plain,
    ( ( ! [A: name,P: pi,X: name] :
          ( ( subs @ ( res @ A @ P ) @ X @ A )
          = ( res @ X @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X @ A ) @ nil_Pr743626285e_name ) @ P ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[347]) ).

thf(638,plain,
    ( ( fresh_name_pi @ y @ ( par @ p @ ( res @ x @ q ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[348]) ).

thf(639,plain,
    ( ( fresh_name_pi @ y @ ( res @ x @ ( par @ p @ q ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[349]) ).

thf(640,plain,
    ( ( fresh_name_pi @ ya @ q2 )
    = $true ),
    inference(unfold_def,[status(thm)],[350]) ).

thf(641,plain,
    ( ( fresh_name_pi @ ya @ q )
    = $true ),
    inference(unfold_def,[status(thm)],[351]) ).

thf(642,plain,
    ( ( fresh_name_pi @ ya @ p )
    = $true ),
    inference(unfold_def,[status(thm)],[352]) ).

thf(643,plain,
    ( ( fresh_name_pi @ x @ p )
    = $true ),
    inference(unfold_def,[status(thm)],[353]) ).

thf(644,plain,
    ( ( late_transitions @ ( res @ x @ ( par @ p @ q ) ) @ ( late_BoundR @ aa @ y @ xPQ ) )
    = $true ),
    inference(unfold_def,[status(thm)],[354]) ).

thf(645,plain,
    ( ( y != x )
    = $true ),
    inference(unfold_def,[status(thm)],[355]) ).

thf(646,plain,
    ( ( eqvt_pi @ rel )
    = $true ),
    inference(unfold_def,[status(thm)],[356]) ).

thf(647,plain,
    ( ( aa
      = ( late_BoundOutputS @ ab ) )
    = $true ),
    inference(unfold_def,[status(thm)],[357]) ).

thf(648,plain,
    ( ( ya != c )
    = $true ),
    inference(unfold_def,[status(thm)],[358]) ).

thf(649,plain,
    ( ( ab != x )
    = $true ),
    inference(unfold_def,[status(thm)],[359]) ).

thf(650,plain,
    ( ( ( late_OutputR @ ab @ x )
      = late_TauR )
    = $true ),
    inference(unfold_def,[status(thm)],[360]) ).

thf(651,plain,
    ( ( ya != b )
    = $true ),
    inference(unfold_def,[status(thm)],[361]) ).

thf(652,plain,
    ( ( ~ ? [P6: pi] :
            ( ( late_transitions @ ( par @ p @ ( res @ x @ q ) ) @ ( late_BoundR @ ( late_BoundOutputS @ ab ) @ y @ P6 ) )
            & ( strong2129052853vative @ P6 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ ( par @ ( subs @ p2 @ ya @ c ) @ q2 ) ) @ ( late_BoundOutputS @ ab ) @ y @ rel ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[364]) ).

thf(653,plain,
    ( ( ! [P6: pi] :
          ( ~ ( late_transitions @ ( par @ p @ ( res @ x @ q ) ) @ ( late_BoundR @ ( late_BoundOutputS @ ab ) @ y @ P6 ) )
          | ~ ( strong2129052853vative @ P6 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ ( par @ ( subs @ p2 @ ya @ c ) @ q2 ) ) @ ( late_BoundOutputS @ ab ) @ y @ rel ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[652]) ).

thf(654,plain,
    ( ( ! [P: product_unit > $o] :
          ( ~ ( P @ product_Unity )
          | ! [Unit: product_unit] : ( P @ Unit ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[371]) ).

thf(655,plain,
    ( ( ! [A: name,X: name,P: pi,B: late_subject,Y: name] :
          ( ! [YP: pi] :
              ( ~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ B @ Y @ YP ) )
              | ( Y = A )
              | ( Y = X )
              | ~ ( fresh_name_pi @ Y @ P )
              | ( B
                = ( late_InputS @ A ) )
              | ! [Prop: late_subject > name > pi > $o] : ( Prop @ B @ Y @ YP ) )
          & ! [YP: pi] :
              ( ~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ B @ Y @ YP ) )
              | ( Y = A )
              | ( Y = X )
              | ~ ( fresh_name_pi @ Y @ P )
              | ( YP
                = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X @ Y ) @ nil_Pr743626285e_name ) @ P ) )
              | ! [Prop: late_subject > name > pi > $o] : ( Prop @ B @ Y @ YP ) )
          & ! [YP: pi] :
              ( ~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ B @ Y @ YP ) )
              | ( Y = A )
              | ( Y = X )
              | ~ ( fresh_name_pi @ Y @ P )
              | ! [Prop: late_subject > name > pi > $o] :
                  ( ~ ( Prop @ ( late_InputS @ A ) @ Y @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X @ Y ) @ nil_Pr743626285e_name ) @ P ) )
                  | ( Prop @ B @ Y @ YP ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[372]) ).

thf(656,plain,
    ( ( ! [Y: late_freeRes] :
          ( ( Y
            = ( late_OutputR @ ( sK1_X112 @ Y ) @ ( sK2_SY971 @ Y ) ) )
          | ( Y = late_TauR ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[373]) ).

thf(657,plain,
    ( ( ! [X11: name,X12: name] :
          ( ( late_OutputR @ X11 @ X12 )
         != late_TauR ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[374]) ).

thf(658,plain,
    ( ( ! [Pi: list_P227219501e_name,B: $o] :
          ( ( ~ ( perm_name_o @ Pi @ B )
            | ! [C1: name,C22: name] :
                ( ( perm_name_name @ Pi @ ( if_name @ B @ C1 @ C22 ) )
                = ( perm_name_name @ Pi @ C1 ) ) )
          & ( ( perm_name_o @ Pi @ B )
            | ! [C1: name,C22: name] :
                ( ( perm_name_name @ Pi @ ( if_name @ B @ C1 @ C22 ) )
                = ( perm_name_name @ Pi @ C22 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[377]) ).

thf(659,plain,
    ( ( ! [Pi: list_P227219501e_name,B: $o] :
          ( ( ~ ( perm_name_o @ Pi @ B )
            | ! [C1: pi_Rep,C22: pi_Rep] :
                ( ( perm_name_pi_Rep @ Pi @ ( if_pi_Rep @ B @ C1 @ C22 ) )
                = ( perm_name_pi_Rep @ Pi @ C1 ) ) )
          & ( ( perm_name_o @ Pi @ B )
            | ! [C1: pi_Rep,C22: pi_Rep] :
                ( ( perm_name_pi_Rep @ Pi @ ( if_pi_Rep @ B @ C1 @ C22 ) )
                = ( perm_name_pi_Rep @ Pi @ C22 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[378]) ).

thf(660,plain,
    ( ( ! [Pi: list_P227219501e_name,B: $o] :
          ( ( ~ ( perm_name_o @ Pi @ B )
            | ! [C1: late_freeRes,C22: late_freeRes] :
                ( ( perm_n336613537reeRes @ Pi @ ( if_Late_freeRes @ B @ C1 @ C22 ) )
                = ( perm_n336613537reeRes @ Pi @ C1 ) ) )
          & ( ( perm_name_o @ Pi @ B )
            | ! [C1: late_freeRes,C22: late_freeRes] :
                ( ( perm_n336613537reeRes @ Pi @ ( if_Late_freeRes @ B @ C1 @ C22 ) )
                = ( perm_n336613537reeRes @ Pi @ C22 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[379]) ).

thf(661,plain,
    ( ( ! [Pi: list_P227219501e_name,B: $o] :
          ( ( ~ ( perm_name_o @ Pi @ B )
            | ! [C1: late_subject,C22: late_subject] :
                ( ( perm_n1559866809ubject @ Pi @ ( if_Late_subject @ B @ C1 @ C22 ) )
                = ( perm_n1559866809ubject @ Pi @ C1 ) ) )
          & ( ( perm_name_o @ Pi @ B )
            | ! [C1: late_subject,C22: late_subject] :
                ( ( perm_n1559866809ubject @ Pi @ ( if_Late_subject @ B @ C1 @ C22 ) )
                = ( perm_n1559866809ubject @ Pi @ C22 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[380]) ).

thf(662,plain,
    ( ( ! [A: name,X: name] :
          ( ! [Y: product_prod_pi_pi] :
              ~ ( fresh_1376661020_pi_pi @ A @ ( produc235456326_pi_pi @ X @ Y ) )
          | ( fresh_name_name @ A @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[381]) ).

thf(663,plain,
    ( ( ! [X: name,Y: name] :
          ( ( X != Y )
          | ! [Pi: list_P227219501e_name] :
              ( ( perm_name_name @ Pi @ X )
              = ( perm_name_name @ Pi @ Y ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[382]) ).

thf(664,plain,
    ( ( ! [X: pi_Rep,Y: pi_Rep] :
          ( ( X != Y )
          | ! [Pi: list_P227219501e_name] :
              ( ( perm_name_pi_Rep @ Pi @ X )
              = ( perm_name_pi_Rep @ Pi @ Y ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[383]) ).

thf(665,plain,
    ( ( ! [X: late_freeRes,Y: late_freeRes] :
          ( ( X != Y )
          | ! [Pi: list_P227219501e_name] :
              ( ( perm_n336613537reeRes @ Pi @ X )
              = ( perm_n336613537reeRes @ Pi @ Y ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[384]) ).

thf(666,plain,
    ( ( ! [X: late_subject,Y: late_subject] :
          ( ( X != Y )
          | ! [Pi: list_P227219501e_name] :
              ( ( perm_n1559866809ubject @ Pi @ X )
              = ( perm_n1559866809ubject @ Pi @ Y ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[385]) ).

thf(667,plain,
    ( ( ! [C: $o,Pi: list_P227219501e_name] :
          ( ( ~ C
            | ! [X: name,Y: name] :
                ( ( perm_name_name @ Pi @ ( if_name @ C @ X @ Y ) )
                = ( perm_name_name @ Pi @ X ) ) )
          & ( C
            | ! [X: name,Y: name] :
                ( ( perm_name_name @ Pi @ ( if_name @ C @ X @ Y ) )
                = ( perm_name_name @ Pi @ Y ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[386]) ).

thf(668,plain,
    ( ( ! [C: $o,Pi: list_P227219501e_name] :
          ( ( ~ C
            | ! [X: pi_Rep,Y: pi_Rep] :
                ( ( perm_name_pi_Rep @ Pi @ ( if_pi_Rep @ C @ X @ Y ) )
                = ( perm_name_pi_Rep @ Pi @ X ) ) )
          & ( C
            | ! [X: pi_Rep,Y: pi_Rep] :
                ( ( perm_name_pi_Rep @ Pi @ ( if_pi_Rep @ C @ X @ Y ) )
                = ( perm_name_pi_Rep @ Pi @ Y ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[387]) ).

thf(669,plain,
    ( ( ! [C: $o,Pi: list_P227219501e_name] :
          ( ( ~ C
            | ! [X: late_freeRes,Y: late_freeRes] :
                ( ( perm_n336613537reeRes @ Pi @ ( if_Late_freeRes @ C @ X @ Y ) )
                = ( perm_n336613537reeRes @ Pi @ X ) ) )
          & ( C
            | ! [X: late_freeRes,Y: late_freeRes] :
                ( ( perm_n336613537reeRes @ Pi @ ( if_Late_freeRes @ C @ X @ Y ) )
                = ( perm_n336613537reeRes @ Pi @ Y ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[388]) ).

thf(670,plain,
    ( ( ! [C: $o,Pi: list_P227219501e_name] :
          ( ( ~ C
            | ! [X: late_subject,Y: late_subject] :
                ( ( perm_n1559866809ubject @ Pi @ ( if_Late_subject @ C @ X @ Y ) )
                = ( perm_n1559866809ubject @ Pi @ X ) ) )
          & ( C
            | ! [X: late_subject,Y: late_subject] :
                ( ( perm_n1559866809ubject @ Pi @ ( if_Late_subject @ C @ X @ Y ) )
                = ( perm_n1559866809ubject @ Pi @ Y ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[389]) ).

thf(671,plain,
    ( ( fresh_name_name
      = ( ^ [A4: name,B3: name] : ( A4 != B3 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[392]) ).

thf(672,plain,
    ( ( ! [A: name,X: pi,Xs: list_pi] :
          ( ( fresh_name_list_pi @ A @ ( cons_pi @ X @ Xs ) )
          = ( ( fresh_name_list_pi @ A @ Xs )
            & ( fresh_name_pi @ A @ X ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[393]) ).

thf(673,plain,
    ( ( ! [P: pi,Q: pi,A: late_subject,X: name,Rel: set_Pr1834926343_pi_pi] :
          ( ~ ( strong2129052853vative @ P @ Q @ A @ X @ Rel )
          | ~ ( eqvt_pi @ Rel )
          | ! [Perm: list_P227219501e_name] : ( strong2129052853vative @ ( perm_name_pi @ Perm @ P ) @ ( perm_name_pi @ Perm @ Q ) @ ( perm_n1559866809ubject @ Perm @ A ) @ ( perm_name_name @ Perm @ X ) @ Rel ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[394]) ).

thf(674,plain,
    ( ( ! [P: pi > late_residual > $o] :
          ( ( ( fresh_name_pi @ ( sK7_SY975 @ P ) @ ( sK9_SY980 @ P ) )
            & ( fresh_717452603ubject @ ( sK7_SY975 @ P ) @ ( sK6_Subject2 @ P ) )
            & ~ ( P @ ( sK9_SY980 @ P ) @ ( late_BoundR @ ( sK6_Subject2 @ P ) @ ( sK7_SY975 @ P ) @ ( sK8_SY978 @ P ) ) ) )
          | ~ ( P @ ( sK5_SY974 @ P ) @ ( late_FreeR @ ( sK3_FreeRes2 @ P ) @ ( sK4_SY972 @ P ) ) )
          | ! [Z: pi,Residual: late_residual] : ( P @ Z @ Residual ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[395]) ).

thf(675,plain,
    ( ( ! [P: name > late_residual > $o] :
          ( ( ( fresh_name_name @ ( sK14_SY984 @ P ) @ ( sK16_SY989 @ P ) )
            & ( fresh_717452603ubject @ ( sK14_SY984 @ P ) @ ( sK13_Subject2 @ P ) )
            & ~ ( P @ ( sK16_SY989 @ P ) @ ( late_BoundR @ ( sK13_Subject2 @ P ) @ ( sK14_SY984 @ P ) @ ( sK15_SY987 @ P ) ) ) )
          | ~ ( P @ ( sK12_SY983 @ P ) @ ( late_FreeR @ ( sK10_FreeRes2 @ P ) @ ( sK11_SY981 @ P ) ) )
          | ! [Z: name,Residual: late_residual] : ( P @ Z @ Residual ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[396]) ).

thf(676,plain,
    ( ( ! [P: produc1141751126_pi_pi > late_residual > $o] :
          ( ( ( fresh_1376661020_pi_pi @ ( sK21_SY993 @ P ) @ ( sK23_SY998 @ P ) )
            & ( fresh_717452603ubject @ ( sK21_SY993 @ P ) @ ( sK20_Subject2 @ P ) )
            & ~ ( P @ ( sK23_SY998 @ P ) @ ( late_BoundR @ ( sK20_Subject2 @ P ) @ ( sK21_SY993 @ P ) @ ( sK22_SY996 @ P ) ) ) )
          | ~ ( P @ ( sK19_SY992 @ P ) @ ( late_FreeR @ ( sK17_FreeRes2 @ P ) @ ( sK18_SY990 @ P ) ) )
          | ! [Z: produc1141751126_pi_pi,Residual: late_residual] : ( P @ Z @ Residual ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[397]) ).

thf(677,plain,
    ( ( ! [P: product_unit > late_residual > $o] :
          ( ( ( fresh_1143631827t_unit @ ( sK28_SY1002 @ P ) @ ( sK30_SY1007 @ P ) )
            & ( fresh_717452603ubject @ ( sK28_SY1002 @ P ) @ ( sK27_Subject2 @ P ) )
            & ~ ( P @ ( sK30_SY1007 @ P ) @ ( late_BoundR @ ( sK27_Subject2 @ P ) @ ( sK28_SY1002 @ P ) @ ( sK29_SY1005 @ P ) ) ) )
          | ~ ( P @ ( sK26_SY1001 @ P ) @ ( late_FreeR @ ( sK24_FreeRes2 @ P ) @ ( sK25_SY999 @ P ) ) )
          | ! [Z: product_unit,Residual: late_residual] : ( P @ Z @ Residual ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[398]) ).

thf(678,plain,
    ( ( ! [P: pi > late_residual > $o] :
          ( ( ( fresh_name_pi @ ( sK35_SY1011 @ P ) @ ( sK37_SY1016 @ P ) )
            & ( fresh_717452603ubject @ ( sK35_SY1011 @ P ) @ ( sK34_Subject2 @ P ) )
            & ~ ( P @ ( sK37_SY1016 @ P ) @ ( late_BoundR @ ( sK34_Subject2 @ P ) @ ( sK35_SY1011 @ P ) @ ( sK36_SY1014 @ P ) ) ) )
          | ~ ( P @ ( sK33_SY1010 @ P ) @ ( late_FreeR @ ( sK31_FreeRes2 @ P ) @ ( sK32_SY1008 @ P ) ) )
          | ! [Z: pi,Residual: late_residual] : ( P @ Z @ Residual ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[399]) ).

thf(679,plain,
    ( ( ! [P: name > late_residual > $o] :
          ( ( ( fresh_name_name @ ( sK42_SY1020 @ P ) @ ( sK44_SY1025 @ P ) )
            & ( fresh_717452603ubject @ ( sK42_SY1020 @ P ) @ ( sK41_Subject2 @ P ) )
            & ~ ( P @ ( sK44_SY1025 @ P ) @ ( late_BoundR @ ( sK41_Subject2 @ P ) @ ( sK42_SY1020 @ P ) @ ( sK43_SY1023 @ P ) ) ) )
          | ~ ( P @ ( sK40_SY1019 @ P ) @ ( late_FreeR @ ( sK38_FreeRes2 @ P ) @ ( sK39_SY1017 @ P ) ) )
          | ! [Z: name,Residual: late_residual] : ( P @ Z @ Residual ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[400]) ).

thf(680,plain,
    ( ( ! [P: produc1141751126_pi_pi > late_residual > $o] :
          ( ( ( fresh_1376661020_pi_pi @ ( sK49_SY1029 @ P ) @ ( sK51_SY1034 @ P ) )
            & ( fresh_717452603ubject @ ( sK49_SY1029 @ P ) @ ( sK48_Subject2 @ P ) )
            & ~ ( P @ ( sK51_SY1034 @ P ) @ ( late_BoundR @ ( sK48_Subject2 @ P ) @ ( sK49_SY1029 @ P ) @ ( sK50_SY1032 @ P ) ) ) )
          | ~ ( P @ ( sK47_SY1028 @ P ) @ ( late_FreeR @ ( sK45_FreeRes2 @ P ) @ ( sK46_SY1026 @ P ) ) )
          | ! [Z: produc1141751126_pi_pi,Residual: late_residual] : ( P @ Z @ Residual ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[401]) ).

thf(681,plain,
    ( ( ! [P: product_unit > late_residual > $o] :
          ( ( ( fresh_1143631827t_unit @ ( sK56_SY1038 @ P ) @ ( sK58_SY1043 @ P ) )
            & ( fresh_717452603ubject @ ( sK56_SY1038 @ P ) @ ( sK55_Subject2 @ P ) )
            & ~ ( P @ ( sK58_SY1043 @ P ) @ ( late_BoundR @ ( sK55_Subject2 @ P ) @ ( sK56_SY1038 @ P ) @ ( sK57_SY1041 @ P ) ) ) )
          | ~ ( P @ ( sK54_SY1037 @ P ) @ ( late_FreeR @ ( sK52_FreeRes2 @ P ) @ ( sK53_SY1035 @ P ) ) )
          | ! [Z: product_unit,Residual: late_residual] : ( P @ Z @ Residual ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[402]) ).

thf(682,plain,
    ( ( ! [Y: name,P: pi,A: late_subject,X: name,YP: pi] :
          ( ~ ( late_transitions @ ( res @ Y @ P ) @ ( late_BoundR @ A @ X @ YP ) )
          | ( X = Y )
          | ~ ( fresh_name_pi @ X @ P )
          | ! [F2: late_subject > pi > $o] :
              ( ( ( late_transitions @ P @ ( late_FreeR @ ( late_OutputR @ ( sK60_B2 @ F2 @ YP @ X @ A @ P @ Y ) @ Y ) @ ( sK61_SY1044 @ F2 @ YP @ X @ A @ P @ Y ) ) )
                & ( ( sK60_B2 @ F2 @ YP @ X @ A @ P @ Y )
                 != Y )
                & ( A
                  = ( late_BoundOutputS @ ( sK60_B2 @ F2 @ YP @ X @ A @ P @ Y ) ) )
                & ~ ( F2 @ ( late_BoundOutputS @ ( sK60_B2 @ F2 @ YP @ X @ A @ P @ Y ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X @ Y ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ F2 @ YP @ X @ A @ P @ Y ) ) ) )
              | ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ ( sK59_P4 @ F2 @ YP @ X @ A @ P @ Y ) ) )
                & ( fresh_717452603ubject @ Y @ A )
                & ~ ( F2 @ A @ ( res @ Y @ ( sK59_P4 @ F2 @ YP @ X @ A @ P @ Y ) ) ) )
              | ( F2 @ A @ YP ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[403]) ).

thf(683,plain,
    ( ( ! [Name12: name,Name23: name] :
          ( ( late_OutputR @ Name12 @ Name23 )
         != late_TauR ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[404]) ).

thf(684,plain,
    ( ( ! [P: late_freeRes > $o] :
          ( ~ ( P @ ( late_OutputR @ ( sK62_Name1 @ P ) @ ( sK63_SY1045 @ P ) ) )
          | ~ ( P @ late_TauR )
          | ! [FreeRes3: late_freeRes] : ( P @ FreeRes3 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[405]) ).

thf(685,plain,
    ( ( ! [X5: name,P: pi,A: late_subject,Y4: name,P3: pi] :
          ( ~ ( late_transitions @ ( res @ X5 @ P ) @ ( late_BoundR @ A @ Y4 @ P3 ) )
          | ( ( ( res @ X5 @ P )
              = ( res @ ( sK71_SY1059 @ P3 @ Y4 @ A @ P @ X5 ) @ ( sK69_P5 @ P3 @ Y4 @ A @ P @ X5 ) ) )
            & ( ( late_BoundR @ A @ Y4 @ P3 )
              = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ P3 @ Y4 @ A @ P @ X5 ) ) @ ( sK71_SY1059 @ P3 @ Y4 @ A @ P @ X5 ) @ ( sK72_SY1061 @ P3 @ Y4 @ A @ P @ X5 ) ) )
            & ( late_transitions @ ( sK69_P5 @ P3 @ Y4 @ A @ P @ X5 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ P3 @ Y4 @ A @ P @ X5 ) @ ( sK71_SY1059 @ P3 @ Y4 @ A @ P @ X5 ) ) @ ( sK72_SY1061 @ P3 @ Y4 @ A @ P @ X5 ) ) )
            & ( ( sK70_SY1056 @ P3 @ Y4 @ A @ P @ X5 )
             != ( sK71_SY1059 @ P3 @ Y4 @ A @ P @ X5 ) ) )
          | ( ( ( res @ X5 @ P )
              = ( res @ ( sK68_SY1055 @ P3 @ Y4 @ A @ P @ X5 ) @ ( sK64_P5 @ P3 @ Y4 @ A @ P @ X5 ) ) )
            & ( ( late_BoundR @ A @ Y4 @ P3 )
              = ( late_BoundR @ ( sK65_SY1046 @ P3 @ Y4 @ A @ P @ X5 ) @ ( sK66_SY1050 @ P3 @ Y4 @ A @ P @ X5 ) @ ( res @ ( sK68_SY1055 @ P3 @ Y4 @ A @ P @ X5 ) @ ( sK67_SY1053 @ P3 @ Y4 @ A @ P @ X5 ) ) ) )
            & ( late_transitions @ ( sK64_P5 @ P3 @ Y4 @ A @ P @ X5 ) @ ( late_BoundR @ ( sK65_SY1046 @ P3 @ Y4 @ A @ P @ X5 ) @ ( sK66_SY1050 @ P3 @ Y4 @ A @ P @ X5 ) @ ( sK67_SY1053 @ P3 @ Y4 @ A @ P @ X5 ) ) )
            & ( fresh_717452603ubject @ ( sK68_SY1055 @ P3 @ Y4 @ A @ P @ X5 ) @ ( sK65_SY1046 @ P3 @ Y4 @ A @ P @ X5 ) )
            & ( ( sK68_SY1055 @ P3 @ Y4 @ A @ P @ X5 )
             != ( sK66_SY1050 @ P3 @ Y4 @ A @ P @ X5 ) )
            & ( fresh_name_pi @ ( sK66_SY1050 @ P3 @ Y4 @ A @ P @ X5 ) @ ( sK64_P5 @ P3 @ Y4 @ A @ P @ X5 ) )
            & ( fresh_717452603ubject @ ( sK66_SY1050 @ P3 @ Y4 @ A @ P @ X5 ) @ ( sK65_SY1046 @ P3 @ Y4 @ A @ P @ X5 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[406]) ).

thf(686,plain,
    ( ( ! [X: name,P: pi,Rs: late_residual] :
          ( ~ ( late_transitions @ ( res @ X @ P ) @ Rs )
          | ( ( ( res @ X @ P )
              = ( res @ ( sK84_SY1081 @ Rs @ P @ X ) @ ( sK82_P5 @ Rs @ P @ X ) ) )
            & ( Rs
              = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ Rs @ P @ X ) ) @ ( sK84_SY1081 @ Rs @ P @ X ) @ ( sK85_SY1083 @ Rs @ P @ X ) ) )
            & ( late_transitions @ ( sK82_P5 @ Rs @ P @ X ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ Rs @ P @ X ) @ ( sK84_SY1081 @ Rs @ P @ X ) ) @ ( sK85_SY1083 @ Rs @ P @ X ) ) )
            & ( ( sK83_SY1078 @ Rs @ P @ X )
             != ( sK84_SY1081 @ Rs @ P @ X ) ) )
          | ( ( ( res @ X @ P )
              = ( res @ ( sK81_SY1077 @ Rs @ P @ X ) @ ( sK77_P5 @ Rs @ P @ X ) ) )
            & ( Rs
              = ( late_BoundR @ ( sK78_SY1068 @ Rs @ P @ X ) @ ( sK79_SY1072 @ Rs @ P @ X ) @ ( res @ ( sK81_SY1077 @ Rs @ P @ X ) @ ( sK80_SY1075 @ Rs @ P @ X ) ) ) )
            & ( late_transitions @ ( sK77_P5 @ Rs @ P @ X ) @ ( late_BoundR @ ( sK78_SY1068 @ Rs @ P @ X ) @ ( sK79_SY1072 @ Rs @ P @ X ) @ ( sK80_SY1075 @ Rs @ P @ X ) ) )
            & ( fresh_717452603ubject @ ( sK81_SY1077 @ Rs @ P @ X ) @ ( sK78_SY1068 @ Rs @ P @ X ) )
            & ( ( sK81_SY1077 @ Rs @ P @ X )
             != ( sK79_SY1072 @ Rs @ P @ X ) )
            & ( fresh_name_pi @ ( sK79_SY1072 @ Rs @ P @ X ) @ ( sK77_P5 @ Rs @ P @ X ) )
            & ( fresh_717452603ubject @ ( sK79_SY1072 @ Rs @ P @ X ) @ ( sK78_SY1068 @ Rs @ P @ X ) ) )
          | ( ( ( res @ X @ P )
              = ( res @ ( sK76_SY1067 @ Rs @ P @ X ) @ ( sK73_P5 @ Rs @ P @ X ) ) )
            & ( Rs
              = ( late_FreeR @ ( sK74_SY1062 @ Rs @ P @ X ) @ ( res @ ( sK76_SY1067 @ Rs @ P @ X ) @ ( sK75_SY1065 @ Rs @ P @ X ) ) ) )
            & ( late_transitions @ ( sK73_P5 @ Rs @ P @ X ) @ ( late_FreeR @ ( sK74_SY1062 @ Rs @ P @ X ) @ ( sK75_SY1065 @ Rs @ P @ X ) ) )
            & ( fresh_1641682979reeRes @ ( sK76_SY1067 @ Rs @ P @ X ) @ ( sK74_SY1062 @ Rs @ P @ X ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[408]) ).

thf(687,plain,
    ( ( ! [P: pi,Alpha: late_freeRes] :
          ( ! [P3: pi] :
              ~ ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
          | ! [Y: name] :
              ( ~ ( fresh_name_pi @ Y @ P )
              | ( fresh_1641682979reeRes @ Y @ Alpha ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[409]) ).

thf(688,plain,
    ( ( ! [P: pi,A: name,X: name,P3: pi,Q: pi] :
          ( ~ ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P3 ) )
          | ! [B: name,Q2: pi] :
              ( ~ ( late_transitions @ Q @ ( late_FreeR @ ( late_OutputR @ A @ B ) @ Q2 ) )
              | ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ P3 @ X @ B ) @ Q2 ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[421]) ).

thf(689,plain,
    ( ( ! [P: pi,A: name,B: name,P3: pi,Q: pi] :
          ( ~ ( late_transitions @ P @ ( late_FreeR @ ( late_OutputR @ A @ B ) @ P3 ) )
          | ! [X: name,Q2: pi] :
              ( ~ ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A ) @ X @ Q2 ) )
              | ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ P3 @ ( subs @ Q2 @ X @ B ) ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[422]) ).

thf(690,plain,
    ( ( ! [P: pi,A: name,X: name,P3: pi,Q: pi] :
          ( ~ ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P3 ) )
          | ! [B: name,Q2: pi] :
              ( ~ ( late_transitions @ Q @ ( late_FreeR @ ( late_OutputR @ A @ B ) @ Q2 ) )
              | ~ ( fresh_name_pi @ X @ P )
              | ~ ( fresh_name_pi @ X @ Q )
              | ( X = A )
              | ( X = B )
              | ~ ( fresh_name_pi @ X @ Q2 )
              | ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ P3 @ X @ B ) @ Q2 ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[423]) ).

thf(691,plain,
    ( ( ! [P: pi,A: name,B: name,P3: pi,Q: pi] :
          ( ~ ( late_transitions @ P @ ( late_FreeR @ ( late_OutputR @ A @ B ) @ P3 ) )
          | ! [X: name,Q2: pi] :
              ( ~ ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A ) @ X @ Q2 ) )
              | ~ ( fresh_name_pi @ X @ P )
              | ~ ( fresh_name_pi @ X @ Q )
              | ( X = A )
              | ( X = B )
              | ~ ( fresh_name_pi @ X @ P3 )
              | ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ P3 @ ( subs @ Q2 @ X @ B ) ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[424]) ).

thf(692,plain,
    ( ( ! [P: pi,A: name,X: name,P3: pi,Q: pi] :
          ( ~ ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P3 ) )
          | ! [Y: name,Q2: pi] :
              ( ~ ( late_transitions @ Q @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ Y @ Q2 ) )
              | ~ ( fresh_name_pi @ Y @ P )
              | ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ ( subs @ P3 @ X @ Y ) @ Q2 ) ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[425]) ).

thf(693,plain,
    ( ( ! [P: pi,A: name,Y: name,P3: pi,Q: pi] :
          ( ~ ( late_transitions @ P @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ Y @ P3 ) )
          | ! [X: name,Q2: pi] :
              ( ~ ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A ) @ X @ Q2 ) )
              | ~ ( fresh_name_pi @ Y @ Q )
              | ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ P3 @ ( subs @ Q2 @ X @ Y ) ) ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[426]) ).

thf(694,plain,
    ( ( ! [P: pi,A: name,X: name,P3: pi,Q: pi] :
          ( ~ ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P3 ) )
          | ! [Y: name,Q2: pi] :
              ( ~ ( late_transitions @ Q @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ Y @ Q2 ) )
              | ~ ( fresh_name_pi @ X @ P )
              | ~ ( fresh_name_pi @ X @ Q )
              | ~ ( fresh_name_pi @ Y @ P )
              | ~ ( fresh_name_pi @ Y @ Q )
              | ( X = A )
              | ~ ( fresh_name_pi @ X @ Q2 )
              | ( Y = A )
              | ~ ( fresh_name_pi @ Y @ P3 )
              | ( X = Y )
              | ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ ( subs @ P3 @ X @ Y ) @ Q2 ) ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[427]) ).

thf(695,plain,
    ( ( ! [P: pi,A: name,Y: name,P3: pi,Q: pi] :
          ( ~ ( late_transitions @ P @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ Y @ P3 ) )
          | ! [X: name,Q2: pi] :
              ( ~ ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A ) @ X @ Q2 ) )
              | ~ ( fresh_name_pi @ X @ P )
              | ~ ( fresh_name_pi @ X @ Q )
              | ~ ( fresh_name_pi @ Y @ P )
              | ~ ( fresh_name_pi @ Y @ Q )
              | ( X = A )
              | ~ ( fresh_name_pi @ X @ P3 )
              | ( Y = A )
              | ~ ( fresh_name_pi @ Y @ Q2 )
              | ( X = Y )
              | ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ P3 @ ( subs @ Q2 @ X @ Y ) ) ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[428]) ).

thf(696,plain,
    ( ( ! [X: pi] : ( fresh_name_pi @ ( sK86_C2 @ X ) @ X ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[472]) ).

thf(697,plain,
    ( ( ! [X: name] : ( fresh_name_name @ ( sK87_C2 @ X ) @ X ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[473]) ).

thf(698,plain,
    ( ( ! [X: produc1141751126_pi_pi] : ( fresh_1376661020_pi_pi @ ( sK88_C2 @ X ) @ X ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[474]) ).

thf(699,plain,
    ( ( ! [X: product_unit] : ( fresh_1143631827t_unit @ ( sK89_C2 @ X ) @ X ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[475]) ).

thf(700,plain,
    ( ( ! [A: name,Pi: list_P227219501e_name] :
          ( ~ ( fresh_922791155e_name @ A @ Pi )
          | ! [X: name > noption_pi] :
              ( ~ ( fresh_543891186ion_pi @ A @ X )
              | ( fresh_543891186ion_pi @ A @ ( perm_n1667196784ion_pi @ Pi @ X ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[476]) ).

thf(701,plain,
    ( ( ! [A: name,Pi: list_P227219501e_name] :
          ( ~ ( fresh_922791155e_name @ A @ Pi )
          | ! [X: name] :
              ( ~ ( fresh_name_name @ A @ X )
              | ( fresh_name_name @ A @ ( perm_name_name @ Pi @ X ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[477]) ).

thf(702,plain,
    ( ( ! [A: name,Pi: list_P227219501e_name] :
          ( ~ ( fresh_922791155e_name @ A @ Pi )
          | ! [X: produc1141751126_pi_pi] :
              ( ~ ( fresh_1376661020_pi_pi @ A @ X )
              | ( fresh_1376661020_pi_pi @ A @ ( perm_n1255502110_pi_pi @ Pi @ X ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[478]) ).

thf(703,plain,
    ( ( ! [A: name,Pi: list_P227219501e_name] :
          ( ~ ( fresh_922791155e_name @ A @ Pi )
          | ! [X: product_unit] :
              ( ~ ( fresh_1143631827t_unit @ A @ X )
              | ( fresh_1143631827t_unit @ A @ ( perm_n1960409557t_unit @ Pi @ X ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[479]) ).

thf(704,plain,
    ( ( ! [A: name,Pi: list_P227219501e_name] :
          ( ~ ( fresh_922791155e_name @ A @ Pi )
          | ! [X: pi_Rep] :
              ( ~ ( fresh_name_pi_Rep @ A @ X )
              | ( fresh_name_pi_Rep @ A @ ( perm_name_pi_Rep @ Pi @ X ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[480]) ).

thf(705,plain,
    ( ( ! [A: name,Pi: list_P227219501e_name] :
          ( ~ ( fresh_922791155e_name @ A @ Pi )
          | ! [X: late_freeRes] :
              ( ~ ( fresh_1641682979reeRes @ A @ X )
              | ( fresh_1641682979reeRes @ A @ ( perm_n336613537reeRes @ Pi @ X ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[481]) ).

thf(706,plain,
    ( ( ! [A: name,Pi: list_P227219501e_name] :
          ( ~ ( fresh_922791155e_name @ A @ Pi )
          | ! [X: late_subject] :
              ( ~ ( fresh_717452603ubject @ A @ X )
              | ( fresh_717452603ubject @ A @ ( perm_n1559866809ubject @ Pi @ X ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[482]) ).

thf(707,plain,
    ( ( ! [A: name] :
          ( ! [C: name] :
              ( ( A != C )
              | ! [B: name] :
                  ( ( swap_name2 @ ( produc1570949143e_name @ A @ B ) @ C )
                  = B ) )
          & ! [C: name] :
              ( ( A = C )
              | ! [B: name] :
                  ( ( B != C )
                  | ( ( swap_name2 @ ( produc1570949143e_name @ A @ B ) @ C )
                    = A ) ) )
          & ! [C: name] :
              ( ( A = C )
              | ! [B: name] :
                  ( ( B = C )
                  | ( ( swap_name2 @ ( produc1570949143e_name @ A @ B ) @ C )
                    = C ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[486]) ).

thf(708,plain,
    ( ( ! [C: name,P: pi] :
          ( ~ ( fresh_name_pi @ C @ P )
          | ! [A: name,X: name] :
              ( ( input @ A @ X @ P )
              = ( input @ A @ C @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X @ C ) @ nil_Pr743626285e_name ) @ P ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[488]) ).

thf(709,plain,
    ( ( ! [A: name,X: name,P: pi,B: late_subject] :
          ( ! [Y: name,P3: pi] :
              ~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ B @ Y @ P3 ) )
          | ~ ( fresh_717452603ubject @ A @ B ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[490]) ).

thf(710,plain,
    ( ( ! [X: name,A: name] :
          ( ( X = A )
          | ! [P: pi] : ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[491]) ).

thf(711,plain,
    ( ( ! [Name12: name,Name23: name,Pi: pi,Pi12: pi,Pi22: pi] :
          ( ( input @ Name12 @ Name23 @ Pi )
         != ( par @ Pi12 @ Pi22 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[497]) ).

thf(712,plain,
    ( ( ! [Name12: name,Name23: name,Pi: pi,Name: name,Pi3: pi] :
          ( ( input @ Name12 @ Name23 @ Pi )
         != ( res @ Name @ Pi3 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[498]) ).

thf(713,plain,
    ( ( ! [X1: name,X2: name] :
          ( ( late_InputS @ X1 )
         != ( late_BoundOutputS @ X2 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[501]) ).

thf(714,plain,
    ( ( ! [Y: late_subject] :
          ( ( Y
            = ( late_InputS @ ( sK91_X13 @ Y ) ) )
          | ( Y
            = ( late_BoundOutputS @ ( sK90_X22 @ Y ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[502]) ).

thf(715,plain,
    ( ( ! [P: pi,Rel: set_Pr1834926343_pi_pi,Q: pi,A: late_subject] :
          ( ~ ( strong743114133lation @ P @ Rel @ Q )
          | ! [X: name,Q2: pi] :
              ( ~ ( late_transitions @ Q @ ( late_BoundR @ A @ X @ Q2 ) )
              | ~ ( fresh_name_pi @ X @ P )
              | ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ ( sK92_P4 @ Q2 @ X @ A @ Q @ Rel @ P ) ) )
                & ( strong2129052853vative @ ( sK92_P4 @ Q2 @ X @ A @ Q @ Rel @ P ) @ Q2 @ A @ X @ Rel ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[504]) ).

thf(716,plain,
    ( ( ! [Pi: list_P227219501e_name,B: $o] :
          ( ( ~ ( perm_name_o @ Pi @ B )
            | ! [C1: pi,C22: pi] :
                ( ( perm_name_pi @ Pi @ ( if_pi @ B @ C1 @ C22 ) )
                = ( perm_name_pi @ Pi @ C1 ) ) )
          & ( ( perm_name_o @ Pi @ B )
            | ! [C1: pi,C22: pi] :
                ( ( perm_name_pi @ Pi @ ( if_pi @ B @ C1 @ C22 ) )
                = ( perm_name_pi @ Pi @ C22 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[506]) ).

thf(717,plain,
    ( ( ! [A: name,X: name] :
          ( ! [Y: name] :
              ~ ( fresh_441084397e_name @ A @ ( produc1570949143e_name @ X @ Y ) )
          | ( fresh_name_name @ A @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[507]) ).

thf(718,plain,
    ( ( ! [A: name,X: name,Y: name] :
          ( ~ ( fresh_441084397e_name @ A @ ( produc1570949143e_name @ X @ Y ) )
          | ( fresh_name_name @ A @ Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[508]) ).

thf(719,plain,
    ( ( ! [X: pi,Y: pi] :
          ( ( X != Y )
          | ! [Pi: list_P227219501e_name] :
              ( ( perm_name_pi @ Pi @ X )
              = ( perm_name_pi @ Pi @ Y ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[509]) ).

thf(720,plain,
    ( ( ! [C: $o,Pi: list_P227219501e_name] :
          ( ( ~ C
            | ! [X: pi,Y: pi] :
                ( ( perm_name_pi @ Pi @ ( if_pi @ C @ X @ Y ) )
                = ( perm_name_pi @ Pi @ X ) ) )
          & ( C
            | ! [X: pi,Y: pi] :
                ( ( perm_name_pi @ Pi @ ( if_pi @ C @ X @ Y ) )
                = ( perm_name_pi @ Pi @ Y ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[510]) ).

thf(721,plain,
    ( ( ! [P: list_P227219501e_name > $o] :
          ( ~ ( P @ ( sK93_X_1 @ P ) )
          | ( P @ nil_Pr743626285e_name ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[511]) ).

thf(722,plain,
    ( ( ! [P: pi,Q: pi,A: late_subject,X: name,Rel: set_Pr1834926343_pi_pi] :
          ( ~ ( strong2129052853vative @ P @ Q @ A @ X @ Rel )
          | ~ ( eqvt_pi @ Rel )
          | ! [Perm: list_P227219501e_name] : ( strong2129052853vative @ ( perm_name_pi @ Perm @ P ) @ ( perm_name_pi @ Perm @ Q ) @ A @ ( perm_name_name @ Perm @ X ) @ Rel ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[513]) ).

thf(723,plain,
    ( ( ! [P: pi,A: name,B: name,P3: pi] :
          ( ~ ( late_transitions @ P @ ( late_FreeR @ ( late_OutputR @ A @ B ) @ P3 ) )
          | ( A = B )
          | ( late_transitions @ ( res @ B @ P ) @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ B @ P3 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[514]) ).

thf(724,plain,
    ( ( ! [P: pi,Q: pi,A: late_subject,X: name,PQ: pi] :
          ( ~ ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ PQ ) )
          | ~ ( fresh_name_pi @ X @ P )
          | ~ ( fresh_name_pi @ X @ Q )
          | ! [Prop: pi > $o] :
              ( ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ ( sK95_P4 @ Prop @ PQ @ X @ A @ Q @ P ) ) )
                & ~ ( Prop @ ( par @ ( sK95_P4 @ Prop @ PQ @ X @ A @ Q @ P ) @ Q ) ) )
              | ( ( late_transitions @ Q @ ( late_BoundR @ A @ X @ ( sK94_Q4 @ Prop @ PQ @ X @ A @ Q @ P ) ) )
                & ~ ( Prop @ ( par @ P @ ( sK94_Q4 @ Prop @ PQ @ X @ A @ Q @ P ) ) ) )
              | ( Prop @ PQ ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[515]) ).

thf(725,plain,
    ( ( ! [Q: pi,A: late_subject,X: name,Q2: pi] :
          ( ~ ( late_transitions @ Q @ ( late_BoundR @ A @ X @ Q2 ) )
          | ! [P: pi] :
              ( ~ ( fresh_name_pi @ X @ P )
              | ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P @ Q2 ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[516]) ).

thf(726,plain,
    ( ( ! [P: pi,A: late_subject,X: name,P3: pi] :
          ( ~ ( late_transitions @ P @ ( late_BoundR @ A @ X @ P3 ) )
          | ! [Q: pi] :
              ( ~ ( fresh_name_pi @ X @ Q )
              | ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P3 @ Q ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[517]) ).

thf(727,plain,
    ( ( ! [P: pi,Alpha: late_freeRes,P3: pi] :
          ( ~ ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
          | ! [Y: name] :
              ( ~ ( fresh_name_pi @ Y @ P )
              | ( fresh_name_pi @ Y @ P3 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[518]) ).

thf(728,plain,
    ( ( ! [P: pi,A: late_subject,X: name,P3: pi] :
          ( ~ ( late_transitions @ P @ ( late_BoundR @ A @ X @ P3 ) )
          | ! [Y: name] :
              ( ~ ( fresh_name_pi @ Y @ P )
              | ( Y = X )
              | ( fresh_name_pi @ Y @ P3 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[519]) ).

thf(729,plain,
    ( ( ! [Q: pi,Alpha: late_freeRes,Q2: pi] :
          ( ~ ( late_transitions @ Q @ ( late_FreeR @ Alpha @ Q2 ) )
          | ! [P: pi] : ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P @ Q2 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[520]) ).

thf(730,plain,
    ( ( ! [P: pi,Alpha: late_freeRes,P3: pi] :
          ( ~ ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
          | ! [Q: pi] : ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P3 @ Q ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[521]) ).

thf(731,plain,
    ( ( ! [P: late_subject > $o] :
          ( ~ ( P @ ( late_InputS @ ( sK97_Name3 @ P ) ) )
          | ~ ( P @ ( late_BoundOutputS @ ( sK96_Name3 @ P ) ) )
          | ! [Subject: late_subject] : ( P @ Subject ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[522]) ).

thf(732,plain,
    ( ( ! [Name2: name,Name: name] :
          ( ( late_InputS @ Name2 )
         != ( late_BoundOutputS @ Name ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[523]) ).

thf(733,plain,
    ( ( ! [X1: pi,X2: late_residual] :
          ( ~ ( late_transitions @ X1 @ X2 )
          | ! [Pi: list_P227219501e_name] : ( late_transitions @ ( perm_name_pi @ Pi @ X1 ) @ ( perm_n414416632sidual @ Pi @ X2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[524]) ).

thf(734,plain,
    ( ( ! [P: late_residual > $o] :
          ( ~ ( P @ ( late_BoundR @ ( sK100_Subject2 @ P ) @ ( sK101_SY1085 @ P ) @ ( sK102_SY1087 @ P ) ) )
          | ~ ( P @ ( late_FreeR @ ( sK98_FreeRes2 @ P ) @ ( sK99_SY1084 @ P ) ) )
          | ! [Residual: late_residual] : ( P @ Residual ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[525]) ).

thf(735,plain,
    ( ( ! [Subject: late_subject,Name2: name,Pi: pi,FreeRes: late_freeRes,Pi3: pi] :
          ( ( late_BoundR @ Subject @ Name2 @ Pi )
         != ( late_FreeR @ FreeRes @ Pi3 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[526]) ).

thf(736,plain,
    ( ( ! [Q: pi,A: late_subject,X: name,Q2: pi] :
          ( ~ ( late_transitions @ Q @ ( late_BoundR @ A @ X @ Q2 ) )
          | ! [P: pi] :
              ( ~ ( fresh_name_pi @ X @ P )
              | ~ ( fresh_name_pi @ X @ Q )
              | ~ ( fresh_717452603ubject @ X @ A )
              | ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P @ Q2 ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[527]) ).

thf(737,plain,
    ( ( ! [P: pi,A: late_subject,X: name,P3: pi] :
          ( ~ ( late_transitions @ P @ ( late_BoundR @ A @ X @ P3 ) )
          | ~ ( fresh_name_pi @ X @ P )
          | ! [Q: pi] :
              ( ~ ( fresh_name_pi @ X @ Q )
              | ~ ( fresh_717452603ubject @ X @ A )
              | ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P3 @ Q ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[528]) ).

thf(738,plain,
    ( ( ! [P: pi,Q: pi,B: late_subject,Y: name,P3: pi] :
          ( ~ ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ B @ Y @ P3 ) )
          | ( ( ( par @ P @ Q )
              = ( par @ ( sK108_P5 @ P3 @ Y @ B @ Q @ P ) @ ( sK112_SY1107 @ P3 @ Y @ B @ Q @ P ) ) )
            & ( ( late_BoundR @ B @ Y @ P3 )
              = ( late_BoundR @ ( sK109_SY1098 @ P3 @ Y @ B @ Q @ P ) @ ( sK110_SY1102 @ P3 @ Y @ B @ Q @ P ) @ ( par @ ( sK111_SY1105 @ P3 @ Y @ B @ Q @ P ) @ ( sK112_SY1107 @ P3 @ Y @ B @ Q @ P ) ) ) )
            & ( late_transitions @ ( sK108_P5 @ P3 @ Y @ B @ Q @ P ) @ ( late_BoundR @ ( sK109_SY1098 @ P3 @ Y @ B @ Q @ P ) @ ( sK110_SY1102 @ P3 @ Y @ B @ Q @ P ) @ ( sK111_SY1105 @ P3 @ Y @ B @ Q @ P ) ) )
            & ( fresh_name_pi @ ( sK110_SY1102 @ P3 @ Y @ B @ Q @ P ) @ ( sK108_P5 @ P3 @ Y @ B @ Q @ P ) )
            & ( fresh_name_pi @ ( sK110_SY1102 @ P3 @ Y @ B @ Q @ P ) @ ( sK112_SY1107 @ P3 @ Y @ B @ Q @ P ) )
            & ( fresh_717452603ubject @ ( sK110_SY1102 @ P3 @ Y @ B @ Q @ P ) @ ( sK109_SY1098 @ P3 @ Y @ B @ Q @ P ) ) )
          | ( ( ( par @ P @ Q )
              = ( par @ ( sK107_SY1097 @ P3 @ Y @ B @ Q @ P ) @ ( sK103_Q3 @ P3 @ Y @ B @ Q @ P ) ) )
            & ( ( late_BoundR @ B @ Y @ P3 )
              = ( late_BoundR @ ( sK104_SY1088 @ P3 @ Y @ B @ Q @ P ) @ ( sK105_SY1092 @ P3 @ Y @ B @ Q @ P ) @ ( par @ ( sK107_SY1097 @ P3 @ Y @ B @ Q @ P ) @ ( sK106_SY1095 @ P3 @ Y @ B @ Q @ P ) ) ) )
            & ( late_transitions @ ( sK103_Q3 @ P3 @ Y @ B @ Q @ P ) @ ( late_BoundR @ ( sK104_SY1088 @ P3 @ Y @ B @ Q @ P ) @ ( sK105_SY1092 @ P3 @ Y @ B @ Q @ P ) @ ( sK106_SY1095 @ P3 @ Y @ B @ Q @ P ) ) )
            & ( fresh_name_pi @ ( sK105_SY1092 @ P3 @ Y @ B @ Q @ P ) @ ( sK107_SY1097 @ P3 @ Y @ B @ Q @ P ) )
            & ( fresh_name_pi @ ( sK105_SY1092 @ P3 @ Y @ B @ Q @ P ) @ ( sK103_Q3 @ P3 @ Y @ B @ Q @ P ) )
            & ( fresh_717452603ubject @ ( sK105_SY1092 @ P3 @ Y @ B @ Q @ P ) @ ( sK104_SY1088 @ P3 @ Y @ B @ Q @ P ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[529]) ).

thf(739,plain,
    ( ( ! [P: pi,A: late_subject,X: name,P3: pi] :
          ( ~ ( late_transitions @ P @ ( late_BoundR @ A @ X @ P3 ) )
          | ! [Y: name] :
              ( ~ ( fresh_717452603ubject @ Y @ A )
              | ( Y = X )
              | ~ ( fresh_name_pi @ X @ P )
              | ~ ( fresh_717452603ubject @ X @ A )
              | ( late_transitions @ ( res @ Y @ P ) @ ( late_BoundR @ A @ X @ ( res @ Y @ P3 ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[530]) ).

thf(740,plain,
    ( ( ! [P: pi,A: late_subject,X: name] :
          ( ! [P3: pi] :
              ~ ( late_transitions @ P @ ( late_BoundR @ A @ X @ P3 ) )
          | ! [Y: name] :
              ( ~ ( fresh_name_pi @ Y @ P )
              | ( fresh_717452603ubject @ Y @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[531]) ).

thf(741,plain,
    ( ( ! [P: pi,A: late_subject,X: name,P3: pi] :
          ( ~ ( late_transitions @ P @ ( late_BoundR @ A @ X @ P3 ) )
          | ! [Y: name] :
              ( ~ ( fresh_717452603ubject @ Y @ A )
              | ( Y = X )
              | ( late_transitions @ ( res @ Y @ P ) @ ( late_BoundR @ A @ X @ ( res @ Y @ P3 ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[532]) ).

thf(742,plain,
    ( ( ! [P: pi,Alpha: late_freeRes,P3: pi] :
          ( ~ ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
          | ! [Y: name] :
              ( ~ ( fresh_1641682979reeRes @ Y @ Alpha )
              | ( late_transitions @ ( res @ Y @ P ) @ ( late_FreeR @ Alpha @ ( res @ Y @ P3 ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[533]) ).

thf(743,plain,
    ( ( ! [X: name,P: pi,Alpha: late_freeRes,P3: pi] :
          ( ~ ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ P3 ) )
          | ( ( ( res @ X @ P )
              = ( res @ ( sK116_SY1113 @ P3 @ Alpha @ P @ X ) @ ( sK113_P5 @ P3 @ Alpha @ P @ X ) ) )
            & ( ( late_FreeR @ Alpha @ P3 )
              = ( late_FreeR @ ( sK114_SY1108 @ P3 @ Alpha @ P @ X ) @ ( res @ ( sK116_SY1113 @ P3 @ Alpha @ P @ X ) @ ( sK115_SY1111 @ P3 @ Alpha @ P @ X ) ) ) )
            & ( late_transitions @ ( sK113_P5 @ P3 @ Alpha @ P @ X ) @ ( late_FreeR @ ( sK114_SY1108 @ P3 @ Alpha @ P @ X ) @ ( sK115_SY1111 @ P3 @ Alpha @ P @ X ) ) )
            & ( fresh_1641682979reeRes @ ( sK116_SY1113 @ P3 @ Alpha @ P @ X ) @ ( sK114_SY1108 @ P3 @ Alpha @ P @ X ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[534]) ).

thf(744,plain,
    ( ( ! [X: name,P: pi,Alpha: late_freeRes,XP: pi] :
          ( ~ ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ XP ) )
          | ! [F2: pi > $o] :
              ( ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ ( sK117_P4 @ F2 @ XP @ Alpha @ P @ X ) ) )
                & ( fresh_1641682979reeRes @ X @ Alpha )
                & ~ ( F2 @ ( res @ X @ ( sK117_P4 @ F2 @ XP @ Alpha @ P @ X ) ) ) )
              | ( F2 @ XP ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[535]) ).

thf(745,plain,
    ( ( ! [P: pi,Rs: late_residual] :
          ( ~ ( late_transitions @ P @ Rs )
          | ! [X: name] :
              ( ~ ( fresh_name_pi @ X @ P )
              | ( fresh_81631222sidual @ X @ Rs ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[536]) ).

thf(746,plain,
    ( ( ! [B: name,P: pi] :
          ( ~ ( fresh_name_pi @ B @ P )
          | ! [A: name,C: name] :
              ( ( subs @ ( subs @ P @ A @ B ) @ B @ C )
              = ( subs @ P @ A @ C ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[539]) ).

thf(747,plain,
    ( ( ! [X5: name,P: pi] :
          ( ~ ( fresh_name_pi @ X5 @ P )
          | ! [A: late_subject,X: name] :
              ( ( late_BoundR @ A @ X @ P )
              = ( late_BoundR @ A @ X5 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X @ X5 ) @ nil_Pr743626285e_name ) @ P ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[545]) ).

thf(748,plain,
    ( ( ! [Pi1: pi,Pi2: pi,Name: name,Pi3: pi] :
          ( ( par @ Pi1 @ Pi2 )
         != ( res @ Name @ Pi3 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[551]) ).

thf(749,plain,
    ( ( ! [C: name,P: pi] :
          ( ~ ( fresh_name_pi @ C @ P )
          | ! [A: name,B: name] :
              ( ( subs @ P @ A @ B )
              = ( subs @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ C @ A ) @ nil_Pr743626285e_name ) @ P ) @ C @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[552]) ).

thf(750,plain,
    ( ( ! [B: name,P: pi] :
          ( ~ ( fresh_name_pi @ B @ P )
          | ! [A: name] :
              ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ P )
              = ( subs @ P @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[553]) ).

thf(751,plain,
    ( ( ! [C: name,P: pi] :
          ( ~ ( fresh_name_pi @ C @ P )
          | ! [A: name] :
              ( ( res @ A @ P )
              = ( res @ C @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ C ) @ nil_Pr743626285e_name ) @ P ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[554]) ).

thf(752,plain,
    ( ( ! [C: name,A: name] :
          ( ( C = A )
          | ! [X: name > noption_pi] :
              ( ~ ( fresh_543891186ion_pi @ A @ X )
              | ~ ( fresh_543891186ion_pi @ C @ X )
              | ! [B: name] : ( fresh_543891186ion_pi @ C @ ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[563]) ).

thf(753,plain,
    ( ( ! [C: name,A: name] :
          ( ( C = A )
          | ! [X: pi] :
              ( ~ ( fresh_name_pi @ A @ X )
              | ~ ( fresh_name_pi @ C @ X )
              | ! [B: name] : ( fresh_name_pi @ C @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[564]) ).

thf(754,plain,
    ( ( ! [C: name,A: name] :
          ( ( C = A )
          | ! [X: name] :
              ( ~ ( fresh_name_name @ A @ X )
              | ~ ( fresh_name_name @ C @ X )
              | ! [B: name] : ( fresh_name_name @ C @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[565]) ).

thf(755,plain,
    ( ( ! [C: name,A: name] :
          ( ( C = A )
          | ! [X: produc1141751126_pi_pi] :
              ( ~ ( fresh_1376661020_pi_pi @ A @ X )
              | ~ ( fresh_1376661020_pi_pi @ C @ X )
              | ! [B: name] : ( fresh_1376661020_pi_pi @ C @ ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[566]) ).

thf(756,plain,
    ( ( ! [C: name,A: name] :
          ( ( C = A )
          | ! [X: product_unit] :
              ( ~ ( fresh_1143631827t_unit @ A @ X )
              | ~ ( fresh_1143631827t_unit @ C @ X )
              | ! [B: name] : ( fresh_1143631827t_unit @ C @ ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[567]) ).

thf(757,plain,
    ( ( ! [C: name,A: name] :
          ( ( C = A )
          | ! [X: pi_Rep] :
              ( ~ ( fresh_name_pi_Rep @ A @ X )
              | ~ ( fresh_name_pi_Rep @ C @ X )
              | ! [B: name] : ( fresh_name_pi_Rep @ C @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[568]) ).

thf(758,plain,
    ( ( ! [C: name,A: name] :
          ( ( C = A )
          | ! [X: late_freeRes] :
              ( ~ ( fresh_1641682979reeRes @ A @ X )
              | ~ ( fresh_1641682979reeRes @ C @ X )
              | ! [B: name] : ( fresh_1641682979reeRes @ C @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[569]) ).

thf(759,plain,
    ( ( ! [C: name,A: name] :
          ( ( C = A )
          | ! [X: late_subject] :
              ( ~ ( fresh_717452603ubject @ A @ X )
              | ~ ( fresh_717452603ubject @ C @ X )
              | ! [B: name] : ( fresh_717452603ubject @ C @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[570]) ).

thf(760,plain,
    ( ( ! [A: name,C: name] :
          ( ( A = C )
          | ! [B: name] :
              ( ( B = C )
              | ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ C )
                = C ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[571]) ).

thf(761,plain,
    ( ( ! [B: name,P: pi] :
          ( ~ ( fresh_name_pi @ B @ P )
          | ! [A: name] :
              ( ( res @ A @ P )
              = ( res @ B @ ( subs @ P @ A @ B ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[575]) ).

thf(762,plain,
    ( ( ! [B: name,P: pi] :
          ( ~ ( fresh_name_pi @ B @ P )
          | ! [A: name] :
              ( ( subs @ ( res @ A @ P ) @ A @ B )
              = ( res @ B @ ( subs @ P @ A @ B ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[576]) ).

thf(763,plain,
    ( ( ! [A: name,P: pi] :
          ( ~ ( fresh_name_pi @ A @ P )
          | ! [B: name] :
              ( ( subs @ P @ A @ B )
              = P ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[578]) ).

thf(764,plain,
    ( ( ! [A: name,P: pi] :
          ( ~ ( fresh_name_pi @ A @ P )
          | ! [C: name] :
              ( ( A = C )
              | ! [B: name] : ( fresh_name_pi @ A @ ( subs @ P @ B @ C ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[579]) ).

thf(765,plain,
    ( ( ! [A: name,B: name] :
          ( ( A = B )
          | ! [P: pi] : ( fresh_name_pi @ A @ ( subs @ P @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[580]) ).

thf(766,plain,
    ( ( ! [A: name,Pi: list_P227219501e_name] :
          ( ~ ( fresh_922791155e_name @ A @ Pi )
          | ! [X: pi] :
              ( ~ ( fresh_name_pi @ A @ X )
              | ( fresh_name_pi @ A @ ( perm_name_pi @ Pi @ X ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[583]) ).

thf(767,plain,
    ( ( ! [A: name,X: name > noption_pi] :
          ( ~ ( fresh_543891186ion_pi @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_543891186ion_pi @ B @ X )
              | ( ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[585]) ).

thf(768,plain,
    ( ( ! [A: name,X: pi] :
          ( ~ ( fresh_name_pi @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_name_pi @ B @ X )
              | ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[586]) ).

thf(769,plain,
    ( ( ! [A: name,X: name] :
          ( ~ ( fresh_name_name @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_name_name @ B @ X )
              | ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[587]) ).

thf(770,plain,
    ( ( ! [A: name,X: produc1141751126_pi_pi] :
          ( ~ ( fresh_1376661020_pi_pi @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_1376661020_pi_pi @ B @ X )
              | ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[588]) ).

thf(771,plain,
    ( ( ! [A: name,X: product_unit] :
          ( ~ ( fresh_1143631827t_unit @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_1143631827t_unit @ B @ X )
              | ( ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[589]) ).

thf(772,plain,
    ( ( ! [A: name,X: pi_Rep] :
          ( ~ ( fresh_name_pi_Rep @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_name_pi_Rep @ B @ X )
              | ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[590]) ).

thf(773,plain,
    ( ( ! [A: name,X: late_freeRes] :
          ( ~ ( fresh_1641682979reeRes @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_1641682979reeRes @ B @ X )
              | ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[591]) ).

thf(774,plain,
    ( ( ! [A: name,X: late_subject] :
          ( ~ ( fresh_717452603ubject @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_717452603ubject @ B @ X )
              | ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[592]) ).

thf(775,plain,
    ( ( ! [A: name,X: name > noption_pi] :
          ( ~ ( fresh_543891186ion_pi @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_543891186ion_pi @ B @ X )
              | ( ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[593]) ).

thf(776,plain,
    ( ( ! [A: name,X: pi] :
          ( ~ ( fresh_name_pi @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_name_pi @ B @ X )
              | ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[594]) ).

thf(777,plain,
    ( ( ! [A: name,X: name] :
          ( ~ ( fresh_name_name @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_name_name @ B @ X )
              | ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[595]) ).

thf(778,plain,
    ( ( ! [A: name,X: produc1141751126_pi_pi] :
          ( ~ ( fresh_1376661020_pi_pi @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_1376661020_pi_pi @ B @ X )
              | ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[596]) ).

thf(779,plain,
    ( ( ! [A: name,X: product_unit] :
          ( ~ ( fresh_1143631827t_unit @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_1143631827t_unit @ B @ X )
              | ( ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[597]) ).

thf(780,plain,
    ( ( ! [A: name,X: pi_Rep] :
          ( ~ ( fresh_name_pi_Rep @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_name_pi_Rep @ B @ X )
              | ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[598]) ).

thf(781,plain,
    ( ( ! [A: name,X: late_freeRes] :
          ( ~ ( fresh_1641682979reeRes @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_1641682979reeRes @ B @ X )
              | ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[599]) ).

thf(782,plain,
    ( ( ! [A: name,X: late_subject] :
          ( ~ ( fresh_717452603ubject @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_717452603ubject @ B @ X )
              | ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[600]) ).

thf(783,plain,
    ( ( ! [X: name,C: name] :
          ( ( X = C )
          | ! [D: name] :
              ( ( X = D )
              | ! [P: pi] :
                  ( ( subs @ ( res @ X @ P ) @ C @ D )
                  = ( res @ X @ ( subs @ P @ C @ D ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[613]) ).

thf(784,plain,
    ( ( y != x )
    = $true ),
    inference(extcnf_combined,[status(esa)],[645]) ).

thf(785,plain,
    ( ( ya != c )
    = $true ),
    inference(extcnf_combined,[status(esa)],[648]) ).

thf(786,plain,
    ( ( ab != x )
    = $true ),
    inference(extcnf_combined,[status(esa)],[649]) ).

thf(787,plain,
    ( ( ya != b )
    = $true ),
    inference(extcnf_combined,[status(esa)],[651]) ).

thf(788,plain,
    ( ( ya != b )
    = $true ),
    inference(copy,[status(thm)],[787]) ).

thf(789,plain,
    ( ( ( late_OutputR @ ab @ x )
      = late_TauR )
    = $true ),
    inference(copy,[status(thm)],[650]) ).

thf(790,plain,
    ( ( ab != x )
    = $true ),
    inference(copy,[status(thm)],[786]) ).

thf(791,plain,
    ( ( ya != c )
    = $true ),
    inference(copy,[status(thm)],[785]) ).

thf(792,plain,
    ( ( aa
      = ( late_BoundOutputS @ ab ) )
    = $true ),
    inference(copy,[status(thm)],[647]) ).

thf(793,plain,
    ( ( eqvt_pi @ rel )
    = $true ),
    inference(copy,[status(thm)],[646]) ).

thf(794,plain,
    ( ( y != x )
    = $true ),
    inference(copy,[status(thm)],[784]) ).

thf(795,plain,
    ( ( late_transitions @ ( res @ x @ ( par @ p @ q ) ) @ ( late_BoundR @ aa @ y @ xPQ ) )
    = $true ),
    inference(copy,[status(thm)],[644]) ).

thf(796,plain,
    ( ( fresh_name_pi @ x @ p )
    = $true ),
    inference(copy,[status(thm)],[643]) ).

thf(797,plain,
    ( ( fresh_name_pi @ ya @ p )
    = $true ),
    inference(copy,[status(thm)],[642]) ).

thf(798,plain,
    ( ( fresh_name_pi @ ya @ q )
    = $true ),
    inference(copy,[status(thm)],[641]) ).

thf(799,plain,
    ( ( fresh_name_pi @ ya @ q2 )
    = $true ),
    inference(copy,[status(thm)],[640]) ).

thf(800,plain,
    ( ( fresh_name_pi @ y @ ( res @ x @ ( par @ p @ q ) ) )
    = $true ),
    inference(copy,[status(thm)],[639]) ).

thf(801,plain,
    ( ( fresh_name_pi @ y @ ( par @ p @ ( res @ x @ q ) ) )
    = $true ),
    inference(copy,[status(thm)],[638]) ).

thf(802,plain,
    ( ( ! [A: name,P: pi,X: name] :
          ( ( subs @ ( res @ A @ P ) @ X @ A )
          = ( res @ X @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X @ A ) @ nil_Pr743626285e_name ) @ P ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[637]) ).

thf(803,plain,
    ( ( late_transitions @ p @ ( late_BoundR @ ( late_InputS @ b ) @ ya @ p2 ) )
    = $true ),
    inference(copy,[status(thm)],[636]) ).

thf(804,plain,
    ( ( ! [A: name,B: name,X: late_subject] :
          ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[635]) ).

thf(805,plain,
    ( ( ! [A: name,B: name,X: late_freeRes] :
          ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[634]) ).

thf(806,plain,
    ( ( ! [A: name,B: name,X: pi_Rep] :
          ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[633]) ).

thf(807,plain,
    ( ( ! [A: name,B: name,X: name] :
          ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[632]) ).

thf(808,plain,
    ( ( ! [A: name,B: name,X: pi] :
          ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[631]) ).

thf(809,plain,
    ( ( ! [A: name,X: late_subject] :
          ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ A ) @ nil_Pr743626285e_name ) @ X )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[630]) ).

thf(810,plain,
    ( ( ! [A: name,X: late_freeRes] :
          ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ A ) @ nil_Pr743626285e_name ) @ X )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[629]) ).

thf(811,plain,
    ( ( ! [A: name,X: pi_Rep] :
          ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ A ) @ nil_Pr743626285e_name ) @ X )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[628]) ).

thf(812,plain,
    ( ( ! [A: name,X: name] :
          ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ A ) @ nil_Pr743626285e_name ) @ X )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[627]) ).

thf(813,plain,
    ( ( ! [A: name,X: pi] :
          ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ A ) @ nil_Pr743626285e_name ) @ X )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[626]) ).

thf(814,plain,
    ( ( ! [A: name,B: name,X: late_subject] :
          ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
          = ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ B @ A ) @ nil_Pr743626285e_name ) @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[625]) ).

thf(815,plain,
    ( ( ! [A: name,B: name,X: late_freeRes] :
          ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
          = ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ B @ A ) @ nil_Pr743626285e_name ) @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[624]) ).

thf(816,plain,
    ( ( ! [A: name,B: name,X: pi_Rep] :
          ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
          = ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ B @ A ) @ nil_Pr743626285e_name ) @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[623]) ).

thf(817,plain,
    ( ( ! [A: name,B: name,X: name] :
          ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
          = ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ B @ A ) @ nil_Pr743626285e_name ) @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[622]) ).

thf(818,plain,
    ( ( ! [A: name,B: name,X: pi] :
          ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
          = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ B @ A ) @ nil_Pr743626285e_name ) @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[621]) ).

thf(819,plain,
    ( ( ! [A: name,B: name,X: late_subject] :
          ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[620]) ).

thf(820,plain,
    ( ( ! [A: name,B: name,X: late_freeRes] :
          ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[619]) ).

thf(821,plain,
    ( ( ! [A: name,B: name,X: pi_Rep] :
          ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[618]) ).

thf(822,plain,
    ( ( ! [A: name,B: name,X: name] :
          ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[617]) ).

thf(823,plain,
    ( ( ! [A: name,B: name,X: pi] :
          ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[616]) ).

thf(824,plain,
    ( ( ! [Pi: list_P227219501e_name,X2: pi,X1: pi] :
          ( ( perm_name_pi @ Pi @ ( par @ X2 @ X1 ) )
          = ( par @ ( perm_name_pi @ Pi @ X2 ) @ ( perm_name_pi @ Pi @ X1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[615]) ).

thf(825,plain,
    ( ( ! [P: pi,Q: pi,C: name,D: name] :
          ( ( subs @ ( par @ P @ Q ) @ C @ D )
          = ( par @ ( subs @ P @ C @ D ) @ ( subs @ Q @ C @ D ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[614]) ).

thf(826,plain,
    ( ( ! [X: name,C: name] :
          ( ( X = C )
          | ! [D: name] :
              ( ( X = D )
              | ! [P: pi] :
                  ( ( subs @ ( res @ X @ P ) @ C @ D )
                  = ( res @ X @ ( subs @ P @ C @ D ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[783]) ).

thf(827,plain,
    ( ( ! [X: late_subject] :
          ( ( perm_n1559866809ubject @ nil_Pr743626285e_name @ X )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[612]) ).

thf(828,plain,
    ( ( ! [X: late_freeRes] :
          ( ( perm_n336613537reeRes @ nil_Pr743626285e_name @ X )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[611]) ).

thf(829,plain,
    ( ( ! [X: pi_Rep] :
          ( ( perm_name_pi_Rep @ nil_Pr743626285e_name @ X )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[610]) ).

thf(830,plain,
    ( ( ! [X: name] :
          ( ( perm_name_name @ nil_Pr743626285e_name @ X )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[609]) ).

thf(831,plain,
    ( ( ! [X: pi] :
          ( ( perm_name_pi @ nil_Pr743626285e_name @ X )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[608]) ).

thf(832,plain,
    ( ( fresh_name_pi @ y @ ( par @ p @ q ) )
    = $true ),
    inference(copy,[status(thm)],[607]) ).

thf(833,plain,
    ( ( ! [P: pi,A: name] :
          ( ( subs @ P @ A @ A )
          = P ) )
    = $true ),
    inference(copy,[status(thm)],[606]) ).

thf(834,plain,
    ( ( ! [Pi_Rep: pi_Rep] :
          ( ( perm_name_pi_Rep @ nil_Pr743626285e_name @ Pi_Rep )
          = Pi_Rep ) )
    = $true ),
    inference(copy,[status(thm)],[605]) ).

thf(835,plain,
    ( ( fresh_name_pi @ y @ p )
    = $true ),
    inference(copy,[status(thm)],[604]) ).

thf(836,plain,
    ( ( fresh_name_pi @ y @ q )
    = $true ),
    inference(copy,[status(thm)],[603]) ).

thf(837,plain,
    ( ( ! [A: name,X2: pi,X1: pi] :
          ( ( fresh_name_pi @ A @ ( par @ X2 @ X1 ) )
          = ( ( fresh_name_pi @ A @ X2 )
            & ( fresh_name_pi @ A @ X1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[602]) ).

thf(838,plain,
    ( ( ! [Pi: list_P227219501e_name,X1: name,X2: pi] :
          ( ( perm_name_pi @ Pi @ ( res @ X1 @ X2 ) )
          = ( res @ ( perm_name_name @ Pi @ X1 ) @ ( perm_name_pi @ Pi @ X2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[601]) ).

thf(839,plain,
    ( ( ! [A: name,X: late_subject] :
          ( ~ ( fresh_717452603ubject @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_717452603ubject @ B @ X )
              | ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[782]) ).

thf(840,plain,
    ( ( ! [A: name,X: late_freeRes] :
          ( ~ ( fresh_1641682979reeRes @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_1641682979reeRes @ B @ X )
              | ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[781]) ).

thf(841,plain,
    ( ( ! [A: name,X: pi_Rep] :
          ( ~ ( fresh_name_pi_Rep @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_name_pi_Rep @ B @ X )
              | ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[780]) ).

thf(842,plain,
    ( ( ! [A: name,X: product_unit] :
          ( ~ ( fresh_1143631827t_unit @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_1143631827t_unit @ B @ X )
              | ( ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[779]) ).

thf(843,plain,
    ( ( ! [A: name,X: produc1141751126_pi_pi] :
          ( ~ ( fresh_1376661020_pi_pi @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_1376661020_pi_pi @ B @ X )
              | ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[778]) ).

thf(844,plain,
    ( ( ! [A: name,X: name] :
          ( ~ ( fresh_name_name @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_name_name @ B @ X )
              | ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[777]) ).

thf(845,plain,
    ( ( ! [A: name,X: pi] :
          ( ~ ( fresh_name_pi @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_name_pi @ B @ X )
              | ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[776]) ).

thf(846,plain,
    ( ( ! [A: name,X: name > noption_pi] :
          ( ~ ( fresh_543891186ion_pi @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_543891186ion_pi @ B @ X )
              | ( ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[775]) ).

thf(847,plain,
    ( ( ! [A: name,X: late_subject] :
          ( ~ ( fresh_717452603ubject @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_717452603ubject @ B @ X )
              | ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[774]) ).

thf(848,plain,
    ( ( ! [A: name,X: late_freeRes] :
          ( ~ ( fresh_1641682979reeRes @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_1641682979reeRes @ B @ X )
              | ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[773]) ).

thf(849,plain,
    ( ( ! [A: name,X: pi_Rep] :
          ( ~ ( fresh_name_pi_Rep @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_name_pi_Rep @ B @ X )
              | ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[772]) ).

thf(850,plain,
    ( ( ! [A: name,X: product_unit] :
          ( ~ ( fresh_1143631827t_unit @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_1143631827t_unit @ B @ X )
              | ( ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[771]) ).

thf(851,plain,
    ( ( ! [A: name,X: produc1141751126_pi_pi] :
          ( ~ ( fresh_1376661020_pi_pi @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_1376661020_pi_pi @ B @ X )
              | ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[770]) ).

thf(852,plain,
    ( ( ! [A: name,X: name] :
          ( ~ ( fresh_name_name @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_name_name @ B @ X )
              | ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[769]) ).

thf(853,plain,
    ( ( ! [A: name,X: pi] :
          ( ~ ( fresh_name_pi @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_name_pi @ B @ X )
              | ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[768]) ).

thf(854,plain,
    ( ( ! [A: name,X: name > noption_pi] :
          ( ~ ( fresh_543891186ion_pi @ A @ X )
          | ! [B: name] :
              ( ~ ( fresh_543891186ion_pi @ B @ X )
              | ( ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
                = X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[767]) ).

thf(855,plain,
    ( ( fresh_717452603ubject @ y @ aa )
    = $true ),
    inference(copy,[status(thm)],[584]) ).

thf(856,plain,
    ( ( ! [A: name,Pi: list_P227219501e_name] :
          ( ~ ( fresh_922791155e_name @ A @ Pi )
          | ! [X: pi] :
              ( ~ ( fresh_name_pi @ A @ X )
              | ( fresh_name_pi @ A @ ( perm_name_pi @ Pi @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[766]) ).

thf(857,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: pi] :
          ( ( fresh_name_pi @ ( perm_name_name @ Pi @ A ) @ ( perm_name_pi @ Pi @ X ) )
          = ( fresh_name_pi @ A @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[582]) ).

thf(858,plain,
    ( ( ! [A: name,P: pi] : ( fresh_name_pi @ A @ ( res @ A @ P ) ) )
    = $true ),
    inference(copy,[status(thm)],[581]) ).

thf(859,plain,
    ( ( ! [A: name,B: name] :
          ( ( A = B )
          | ! [P: pi] : ( fresh_name_pi @ A @ ( subs @ P @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[765]) ).

thf(860,plain,
    ( ( ! [A: name,P: pi] :
          ( ~ ( fresh_name_pi @ A @ P )
          | ! [C: name] :
              ( ( A = C )
              | ! [B: name] : ( fresh_name_pi @ A @ ( subs @ P @ B @ C ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[764]) ).

thf(861,plain,
    ( ( ! [A: name,P: pi] :
          ( ~ ( fresh_name_pi @ A @ P )
          | ! [B: name] :
              ( ( subs @ P @ A @ B )
              = P ) ) )
    = $true ),
    inference(copy,[status(thm)],[763]) ).

thf(862,plain,
    ( ( ! [X: name] :
          ( ( perm_name_name @ nil_Pr743626285e_name @ X )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[577]) ).

thf(863,plain,
    ( ( ! [B: name,P: pi] :
          ( ~ ( fresh_name_pi @ B @ P )
          | ! [A: name] :
              ( ( subs @ ( res @ A @ P ) @ A @ B )
              = ( res @ B @ ( subs @ P @ A @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[762]) ).

thf(864,plain,
    ( ( ! [B: name,P: pi] :
          ( ~ ( fresh_name_pi @ B @ P )
          | ! [A: name] :
              ( ( res @ A @ P )
              = ( res @ B @ ( subs @ P @ A @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[761]) ).

thf(865,plain,
    ( ( ! [P2: list_P227219501e_name,P: pi,A: name,B: name] :
          ( ( perm_name_pi @ P2 @ ( subs @ P @ A @ B ) )
          = ( subs @ ( perm_name_pi @ P2 @ P ) @ ( perm_name_name @ P2 @ A ) @ ( perm_name_name @ P2 @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[574]) ).

thf(866,plain,
    ( ( ! [A: name,B: name] :
          ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ A )
          = B ) )
    = $true ),
    inference(copy,[status(thm)],[573]) ).

thf(867,plain,
    ( ( ! [A: name,B: name] :
          ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ B )
          = A ) )
    = $true ),
    inference(copy,[status(thm)],[572]) ).

thf(868,plain,
    ( ( ! [A: name,C: name] :
          ( ( A = C )
          | ! [B: name] :
              ( ( B = C )
              | ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ C )
                = C ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[760]) ).

thf(869,plain,
    ( ( ! [C: name,A: name] :
          ( ( C = A )
          | ! [X: late_subject] :
              ( ~ ( fresh_717452603ubject @ A @ X )
              | ~ ( fresh_717452603ubject @ C @ X )
              | ! [B: name] : ( fresh_717452603ubject @ C @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[759]) ).

thf(870,plain,
    ( ( ! [C: name,A: name] :
          ( ( C = A )
          | ! [X: late_freeRes] :
              ( ~ ( fresh_1641682979reeRes @ A @ X )
              | ~ ( fresh_1641682979reeRes @ C @ X )
              | ! [B: name] : ( fresh_1641682979reeRes @ C @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[758]) ).

thf(871,plain,
    ( ( ! [C: name,A: name] :
          ( ( C = A )
          | ! [X: pi_Rep] :
              ( ~ ( fresh_name_pi_Rep @ A @ X )
              | ~ ( fresh_name_pi_Rep @ C @ X )
              | ! [B: name] : ( fresh_name_pi_Rep @ C @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[757]) ).

thf(872,plain,
    ( ( ! [C: name,A: name] :
          ( ( C = A )
          | ! [X: product_unit] :
              ( ~ ( fresh_1143631827t_unit @ A @ X )
              | ~ ( fresh_1143631827t_unit @ C @ X )
              | ! [B: name] : ( fresh_1143631827t_unit @ C @ ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[756]) ).

thf(873,plain,
    ( ( ! [C: name,A: name] :
          ( ( C = A )
          | ! [X: produc1141751126_pi_pi] :
              ( ~ ( fresh_1376661020_pi_pi @ A @ X )
              | ~ ( fresh_1376661020_pi_pi @ C @ X )
              | ! [B: name] : ( fresh_1376661020_pi_pi @ C @ ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[755]) ).

thf(874,plain,
    ( ( ! [C: name,A: name] :
          ( ( C = A )
          | ! [X: name] :
              ( ~ ( fresh_name_name @ A @ X )
              | ~ ( fresh_name_name @ C @ X )
              | ! [B: name] : ( fresh_name_name @ C @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[754]) ).

thf(875,plain,
    ( ( ! [C: name,A: name] :
          ( ( C = A )
          | ! [X: pi] :
              ( ~ ( fresh_name_pi @ A @ X )
              | ~ ( fresh_name_pi @ C @ X )
              | ! [B: name] : ( fresh_name_pi @ C @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[753]) ).

thf(876,plain,
    ( ( ! [C: name,A: name] :
          ( ( C = A )
          | ! [X: name > noption_pi] :
              ( ~ ( fresh_543891186ion_pi @ A @ X )
              | ~ ( fresh_543891186ion_pi @ C @ X )
              | ! [B: name] : ( fresh_543891186ion_pi @ C @ ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[752]) ).

thf(877,plain,
    ( ( ! [Pi1: list_P227219501e_name,Pi2: list_P227219501e_name,X: pi] :
          ( ( perm_name_pi @ Pi1 @ ( perm_name_pi @ Pi2 @ X ) )
          = ( perm_name_pi @ ( perm_n1160739829e_name @ Pi1 @ Pi2 ) @ ( perm_name_pi @ Pi1 @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[562]) ).

thf(878,plain,
    ( ( ! [Pi2: list_P227219501e_name,Pi1: list_P227219501e_name,X: pi] :
          ( ( perm_name_pi @ Pi2 @ ( perm_name_pi @ Pi1 @ X ) )
          = ( perm_name_pi @ ( perm_n1160739829e_name @ Pi2 @ Pi1 ) @ ( perm_name_pi @ Pi2 @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[561]) ).

thf(879,plain,
    ( ( ! [Pi2: list_P227219501e_name,Pi1: list_P227219501e_name,X: pi] :
          ( ( perm_name_pi @ Pi2 @ ( perm_name_pi @ Pi1 @ X ) )
          = ( perm_name_pi @ ( perm_n1160739829e_name @ Pi2 @ Pi1 ) @ ( perm_name_pi @ Pi2 @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[560]) ).

thf(880,plain,
    ( ( ! [Pi: list_P227219501e_name,X: pi,Y: pi] :
          ( ( ( perm_name_pi @ Pi @ X )
            = ( perm_name_pi @ Pi @ Y ) )
          = ( X = Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[559]) ).

thf(881,plain,
    ( ( ! [Pi: list_P227219501e_name,F: pi > late_subject,X: pi] :
          ( ( perm_n1559866809ubject @ Pi @ ( F @ X ) )
          = ( perm_n190055296ubject @ Pi @ F @ ( perm_name_pi @ Pi @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[558]) ).

thf(882,plain,
    ( ( ! [Pi: list_P227219501e_name,F: pi > late_freeRes,X: pi] :
          ( ( perm_n336613537reeRes @ Pi @ ( F @ X ) )
          = ( perm_n1333244520reeRes @ Pi @ F @ ( perm_name_pi @ Pi @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[557]) ).

thf(883,plain,
    ( ( ! [Pi: list_P227219501e_name,X: pi,Y: pi] :
          ( ( perm_name_o @ Pi @ ( X = Y ) )
          = ( ( perm_name_pi @ Pi @ X )
            = ( perm_name_pi @ Pi @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[556]) ).

thf(884,plain,
    ( ( ! [X2: pi,X1: pi,Y2: pi,Y1: pi] :
          ( ( ( par @ X2 @ X1 )
            = ( par @ Y2 @ Y1 ) )
          = ( ( X2 = Y2 )
            & ( X1 = Y1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[555]) ).

thf(885,plain,
    ( ( ! [C: name,P: pi] :
          ( ~ ( fresh_name_pi @ C @ P )
          | ! [A: name] :
              ( ( res @ A @ P )
              = ( res @ C @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ C ) @ nil_Pr743626285e_name ) @ P ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[751]) ).

thf(886,plain,
    ( ( ! [B: name,P: pi] :
          ( ~ ( fresh_name_pi @ B @ P )
          | ! [A: name] :
              ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ P )
              = ( subs @ P @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[750]) ).

thf(887,plain,
    ( ( ! [C: name,P: pi] :
          ( ~ ( fresh_name_pi @ C @ P )
          | ! [A: name,B: name] :
              ( ( subs @ P @ A @ B )
              = ( subs @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ C @ A ) @ nil_Pr743626285e_name ) @ P ) @ C @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[749]) ).

thf(888,plain,
    ( ( ! [Pi1: pi,Pi2: pi,Name: name,Pi3: pi] :
          ( ( par @ Pi1 @ Pi2 )
         != ( res @ Name @ Pi3 ) ) )
    = $true ),
    inference(copy,[status(thm)],[748]) ).

thf(889,plain,
    ( ( ! [A: name,B: name,X: late_subject] :
          ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ B @ A ) @ nil_Pr743626285e_name ) @ X ) )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[550]) ).

thf(890,plain,
    ( ( ! [A: name,B: name,X: late_freeRes] :
          ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ B @ A ) @ nil_Pr743626285e_name ) @ X ) )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[549]) ).

thf(891,plain,
    ( ( ! [A: name,B: name,X: pi_Rep] :
          ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ B @ A ) @ nil_Pr743626285e_name ) @ X ) )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[548]) ).

thf(892,plain,
    ( ( ! [A: name,B: name,X: name] :
          ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ B @ A ) @ nil_Pr743626285e_name ) @ X ) )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[547]) ).

thf(893,plain,
    ( ( ! [A: name,B: name,X: pi] :
          ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ B @ A ) @ nil_Pr743626285e_name ) @ X ) )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[546]) ).

thf(894,plain,
    ( ( ! [X5: name,P: pi] :
          ( ~ ( fresh_name_pi @ X5 @ P )
          | ! [A: late_subject,X: name] :
              ( ( late_BoundR @ A @ X @ P )
              = ( late_BoundR @ A @ X5 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X @ X5 ) @ nil_Pr743626285e_name ) @ P ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[747]) ).

thf(895,plain,
    ( ( ! [FreeRes_Rep: late_freeRes_Rep] :
          ( ( perm_n1938283068es_Rep @ nil_Pr743626285e_name @ FreeRes_Rep )
          = FreeRes_Rep ) )
    = $true ),
    inference(copy,[status(thm)],[544]) ).

thf(896,plain,
    ( ( ! [Subject_Rep: late_subject_Rep] :
          ( ( perm_n697952036ct_Rep @ nil_Pr743626285e_name @ Subject_Rep )
          = Subject_Rep ) )
    = $true ),
    inference(copy,[status(thm)],[543]) ).

thf(897,plain,
    ( ( ! [Residual_Rep: late_residual_Rep] :
          ( ( perm_n890803237al_Rep @ nil_Pr743626285e_name @ Residual_Rep )
          = Residual_Rep ) )
    = $true ),
    inference(copy,[status(thm)],[542]) ).

thf(898,plain,
    ( ( ! [X1: name,Y1: name] :
          ( ( ( late_BoundOutputS @ X1 )
            = ( late_BoundOutputS @ Y1 ) )
          = ( X1 = Y1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[541]) ).

thf(899,plain,
    ( ( fresh_1143631827t_unit @ ya @ product_Unity )
    = $true ),
    inference(copy,[status(thm)],[540]) ).

thf(900,plain,
    ( ( ! [B: name,P: pi] :
          ( ~ ( fresh_name_pi @ B @ P )
          | ! [A: name,C: name] :
              ( ( subs @ ( subs @ P @ A @ B ) @ B @ C )
              = ( subs @ P @ A @ C ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[746]) ).

thf(901,plain,
    ( ( ! [Pi: list_P227219501e_name,X1: name] :
          ( ( perm_n1559866809ubject @ Pi @ ( late_BoundOutputS @ X1 ) )
          = ( late_BoundOutputS @ ( perm_name_name @ Pi @ X1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[538]) ).

thf(902,plain,
    ( ( ! [A: name,X1: name] :
          ( ( fresh_717452603ubject @ A @ ( late_BoundOutputS @ X1 ) )
          = ( fresh_name_name @ A @ X1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[537]) ).

thf(903,plain,
    ( ( ! [P: pi,Rs: late_residual] :
          ( ~ ( late_transitions @ P @ Rs )
          | ! [X: name] :
              ( ~ ( fresh_name_pi @ X @ P )
              | ( fresh_81631222sidual @ X @ Rs ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[745]) ).

thf(904,plain,
    ( ( ! [X: name,P: pi,Alpha: late_freeRes,XP: pi] :
          ( ~ ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ XP ) )
          | ! [F2: pi > $o] :
              ( ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ ( sK117_P4 @ F2 @ XP @ Alpha @ P @ X ) ) )
                & ( fresh_1641682979reeRes @ X @ Alpha )
                & ~ ( F2 @ ( res @ X @ ( sK117_P4 @ F2 @ XP @ Alpha @ P @ X ) ) ) )
              | ( F2 @ XP ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[744]) ).

thf(905,plain,
    ( ( ! [X: name,P: pi,Alpha: late_freeRes,P3: pi] :
          ( ~ ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ P3 ) )
          | ( ( ( res @ X @ P )
              = ( res @ ( sK116_SY1113 @ P3 @ Alpha @ P @ X ) @ ( sK113_P5 @ P3 @ Alpha @ P @ X ) ) )
            & ( ( late_FreeR @ Alpha @ P3 )
              = ( late_FreeR @ ( sK114_SY1108 @ P3 @ Alpha @ P @ X ) @ ( res @ ( sK116_SY1113 @ P3 @ Alpha @ P @ X ) @ ( sK115_SY1111 @ P3 @ Alpha @ P @ X ) ) ) )
            & ( late_transitions @ ( sK113_P5 @ P3 @ Alpha @ P @ X ) @ ( late_FreeR @ ( sK114_SY1108 @ P3 @ Alpha @ P @ X ) @ ( sK115_SY1111 @ P3 @ Alpha @ P @ X ) ) )
            & ( fresh_1641682979reeRes @ ( sK116_SY1113 @ P3 @ Alpha @ P @ X ) @ ( sK114_SY1108 @ P3 @ Alpha @ P @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[743]) ).

thf(906,plain,
    ( ( ! [P: pi,Alpha: late_freeRes,P3: pi] :
          ( ~ ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
          | ! [Y: name] :
              ( ~ ( fresh_1641682979reeRes @ Y @ Alpha )
              | ( late_transitions @ ( res @ Y @ P ) @ ( late_FreeR @ Alpha @ ( res @ Y @ P3 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[742]) ).

thf(907,plain,
    ( ( ! [P: pi,A: late_subject,X: name,P3: pi] :
          ( ~ ( late_transitions @ P @ ( late_BoundR @ A @ X @ P3 ) )
          | ! [Y: name] :
              ( ~ ( fresh_717452603ubject @ Y @ A )
              | ( Y = X )
              | ( late_transitions @ ( res @ Y @ P ) @ ( late_BoundR @ A @ X @ ( res @ Y @ P3 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[741]) ).

thf(908,plain,
    ( ( ! [P: pi,A: late_subject,X: name] :
          ( ! [P3: pi] :
              ~ ( late_transitions @ P @ ( late_BoundR @ A @ X @ P3 ) )
          | ! [Y: name] :
              ( ~ ( fresh_name_pi @ Y @ P )
              | ( fresh_717452603ubject @ Y @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[740]) ).

thf(909,plain,
    ( ( ! [P: pi,A: late_subject,X: name,P3: pi] :
          ( ~ ( late_transitions @ P @ ( late_BoundR @ A @ X @ P3 ) )
          | ! [Y: name] :
              ( ~ ( fresh_717452603ubject @ Y @ A )
              | ( Y = X )
              | ~ ( fresh_name_pi @ X @ P )
              | ~ ( fresh_717452603ubject @ X @ A )
              | ( late_transitions @ ( res @ Y @ P ) @ ( late_BoundR @ A @ X @ ( res @ Y @ P3 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[739]) ).

thf(910,plain,
    ( ( ! [P: pi,Q: pi,B: late_subject,Y: name,P3: pi] :
          ( ~ ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ B @ Y @ P3 ) )
          | ( ( ( par @ P @ Q )
              = ( par @ ( sK108_P5 @ P3 @ Y @ B @ Q @ P ) @ ( sK112_SY1107 @ P3 @ Y @ B @ Q @ P ) ) )
            & ( ( late_BoundR @ B @ Y @ P3 )
              = ( late_BoundR @ ( sK109_SY1098 @ P3 @ Y @ B @ Q @ P ) @ ( sK110_SY1102 @ P3 @ Y @ B @ Q @ P ) @ ( par @ ( sK111_SY1105 @ P3 @ Y @ B @ Q @ P ) @ ( sK112_SY1107 @ P3 @ Y @ B @ Q @ P ) ) ) )
            & ( late_transitions @ ( sK108_P5 @ P3 @ Y @ B @ Q @ P ) @ ( late_BoundR @ ( sK109_SY1098 @ P3 @ Y @ B @ Q @ P ) @ ( sK110_SY1102 @ P3 @ Y @ B @ Q @ P ) @ ( sK111_SY1105 @ P3 @ Y @ B @ Q @ P ) ) )
            & ( fresh_name_pi @ ( sK110_SY1102 @ P3 @ Y @ B @ Q @ P ) @ ( sK108_P5 @ P3 @ Y @ B @ Q @ P ) )
            & ( fresh_name_pi @ ( sK110_SY1102 @ P3 @ Y @ B @ Q @ P ) @ ( sK112_SY1107 @ P3 @ Y @ B @ Q @ P ) )
            & ( fresh_717452603ubject @ ( sK110_SY1102 @ P3 @ Y @ B @ Q @ P ) @ ( sK109_SY1098 @ P3 @ Y @ B @ Q @ P ) ) )
          | ( ( ( par @ P @ Q )
              = ( par @ ( sK107_SY1097 @ P3 @ Y @ B @ Q @ P ) @ ( sK103_Q3 @ P3 @ Y @ B @ Q @ P ) ) )
            & ( ( late_BoundR @ B @ Y @ P3 )
              = ( late_BoundR @ ( sK104_SY1088 @ P3 @ Y @ B @ Q @ P ) @ ( sK105_SY1092 @ P3 @ Y @ B @ Q @ P ) @ ( par @ ( sK107_SY1097 @ P3 @ Y @ B @ Q @ P ) @ ( sK106_SY1095 @ P3 @ Y @ B @ Q @ P ) ) ) )
            & ( late_transitions @ ( sK103_Q3 @ P3 @ Y @ B @ Q @ P ) @ ( late_BoundR @ ( sK104_SY1088 @ P3 @ Y @ B @ Q @ P ) @ ( sK105_SY1092 @ P3 @ Y @ B @ Q @ P ) @ ( sK106_SY1095 @ P3 @ Y @ B @ Q @ P ) ) )
            & ( fresh_name_pi @ ( sK105_SY1092 @ P3 @ Y @ B @ Q @ P ) @ ( sK107_SY1097 @ P3 @ Y @ B @ Q @ P ) )
            & ( fresh_name_pi @ ( sK105_SY1092 @ P3 @ Y @ B @ Q @ P ) @ ( sK103_Q3 @ P3 @ Y @ B @ Q @ P ) )
            & ( fresh_717452603ubject @ ( sK105_SY1092 @ P3 @ Y @ B @ Q @ P ) @ ( sK104_SY1088 @ P3 @ Y @ B @ Q @ P ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[738]) ).

thf(911,plain,
    ( ( ! [P: pi,A: late_subject,X: name,P3: pi] :
          ( ~ ( late_transitions @ P @ ( late_BoundR @ A @ X @ P3 ) )
          | ~ ( fresh_name_pi @ X @ P )
          | ! [Q: pi] :
              ( ~ ( fresh_name_pi @ X @ Q )
              | ~ ( fresh_717452603ubject @ X @ A )
              | ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P3 @ Q ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[737]) ).

thf(912,plain,
    ( ( ! [Q: pi,A: late_subject,X: name,Q2: pi] :
          ( ~ ( late_transitions @ Q @ ( late_BoundR @ A @ X @ Q2 ) )
          | ! [P: pi] :
              ( ~ ( fresh_name_pi @ X @ P )
              | ~ ( fresh_name_pi @ X @ Q )
              | ~ ( fresh_717452603ubject @ X @ A )
              | ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P @ Q2 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[736]) ).

thf(913,plain,
    ( ( ! [Subject: late_subject,Name2: name,Pi: pi,FreeRes: late_freeRes,Pi3: pi] :
          ( ( late_BoundR @ Subject @ Name2 @ Pi )
         != ( late_FreeR @ FreeRes @ Pi3 ) ) )
    = $true ),
    inference(copy,[status(thm)],[735]) ).

thf(914,plain,
    ( ( ! [P: late_residual > $o] :
          ( ~ ( P @ ( late_BoundR @ ( sK100_Subject2 @ P ) @ ( sK101_SY1085 @ P ) @ ( sK102_SY1087 @ P ) ) )
          | ~ ( P @ ( late_FreeR @ ( sK98_FreeRes2 @ P ) @ ( sK99_SY1084 @ P ) ) )
          | ! [Residual: late_residual] : ( P @ Residual ) ) )
    = $true ),
    inference(copy,[status(thm)],[734]) ).

thf(915,plain,
    ( ( ! [X1: pi,X2: late_residual] :
          ( ~ ( late_transitions @ X1 @ X2 )
          | ! [Pi: list_P227219501e_name] : ( late_transitions @ ( perm_name_pi @ Pi @ X1 ) @ ( perm_n414416632sidual @ Pi @ X2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[733]) ).

thf(916,plain,
    ( ( ! [Name2: name,Name: name] :
          ( ( late_InputS @ Name2 )
         != ( late_BoundOutputS @ Name ) ) )
    = $true ),
    inference(copy,[status(thm)],[732]) ).

thf(917,plain,
    ( ( ! [P: late_subject > $o] :
          ( ~ ( P @ ( late_InputS @ ( sK97_Name3 @ P ) ) )
          | ~ ( P @ ( late_BoundOutputS @ ( sK96_Name3 @ P ) ) )
          | ! [Subject: late_subject] : ( P @ Subject ) ) )
    = $true ),
    inference(copy,[status(thm)],[731]) ).

thf(918,plain,
    ( ( ! [P: pi,Alpha: late_freeRes,P3: pi] :
          ( ~ ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
          | ! [Q: pi] : ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P3 @ Q ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[730]) ).

thf(919,plain,
    ( ( ! [Q: pi,Alpha: late_freeRes,Q2: pi] :
          ( ~ ( late_transitions @ Q @ ( late_FreeR @ Alpha @ Q2 ) )
          | ! [P: pi] : ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P @ Q2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[729]) ).

thf(920,plain,
    ( ( ! [P: pi,A: late_subject,X: name,P3: pi] :
          ( ~ ( late_transitions @ P @ ( late_BoundR @ A @ X @ P3 ) )
          | ! [Y: name] :
              ( ~ ( fresh_name_pi @ Y @ P )
              | ( Y = X )
              | ( fresh_name_pi @ Y @ P3 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[728]) ).

thf(921,plain,
    ( ( ! [P: pi,Alpha: late_freeRes,P3: pi] :
          ( ~ ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
          | ! [Y: name] :
              ( ~ ( fresh_name_pi @ Y @ P )
              | ( fresh_name_pi @ Y @ P3 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[727]) ).

thf(922,plain,
    ( ( ! [P: pi,A: late_subject,X: name,P3: pi] :
          ( ~ ( late_transitions @ P @ ( late_BoundR @ A @ X @ P3 ) )
          | ! [Q: pi] :
              ( ~ ( fresh_name_pi @ X @ Q )
              | ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P3 @ Q ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[726]) ).

thf(923,plain,
    ( ( ! [Q: pi,A: late_subject,X: name,Q2: pi] :
          ( ~ ( late_transitions @ Q @ ( late_BoundR @ A @ X @ Q2 ) )
          | ! [P: pi] :
              ( ~ ( fresh_name_pi @ X @ P )
              | ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P @ Q2 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[725]) ).

thf(924,plain,
    ( ( ! [P: pi,Q: pi,A: late_subject,X: name,PQ: pi] :
          ( ~ ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ PQ ) )
          | ~ ( fresh_name_pi @ X @ P )
          | ~ ( fresh_name_pi @ X @ Q )
          | ! [Prop: pi > $o] :
              ( ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ ( sK95_P4 @ Prop @ PQ @ X @ A @ Q @ P ) ) )
                & ~ ( Prop @ ( par @ ( sK95_P4 @ Prop @ PQ @ X @ A @ Q @ P ) @ Q ) ) )
              | ( ( late_transitions @ Q @ ( late_BoundR @ A @ X @ ( sK94_Q4 @ Prop @ PQ @ X @ A @ Q @ P ) ) )
                & ~ ( Prop @ ( par @ P @ ( sK94_Q4 @ Prop @ PQ @ X @ A @ Q @ P ) ) ) )
              | ( Prop @ PQ ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[724]) ).

thf(925,plain,
    ( ( ! [P: pi,A: name,B: name,P3: pi] :
          ( ~ ( late_transitions @ P @ ( late_FreeR @ ( late_OutputR @ A @ B ) @ P3 ) )
          | ( A = B )
          | ( late_transitions @ ( res @ B @ P ) @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ B @ P3 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[723]) ).

thf(926,plain,
    ( ( ! [P: pi,Q: pi,A: late_subject,X: name,Rel: set_Pr1834926343_pi_pi] :
          ( ~ ( strong2129052853vative @ P @ Q @ A @ X @ Rel )
          | ~ ( eqvt_pi @ Rel )
          | ! [Perm: list_P227219501e_name] : ( strong2129052853vative @ ( perm_name_pi @ Perm @ P ) @ ( perm_name_pi @ Perm @ Q ) @ A @ ( perm_name_name @ Perm @ X ) @ Rel ) ) )
    = $true ),
    inference(copy,[status(thm)],[722]) ).

thf(927,plain,
    ( ( ! [A: name,X: name,Y: name] :
          ( ( fresh_441084397e_name @ A @ ( produc1570949143e_name @ X @ Y ) )
          = ( ( fresh_name_name @ A @ X )
            & ( fresh_name_name @ A @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[512]) ).

thf(928,plain,
    ( ( ! [P: list_P227219501e_name > $o] :
          ( ~ ( P @ ( sK93_X_1 @ P ) )
          | ( P @ nil_Pr743626285e_name ) ) )
    = $true ),
    inference(copy,[status(thm)],[721]) ).

thf(929,plain,
    ( ( ! [C: $o,Pi: list_P227219501e_name] :
          ( ( ~ C
            | ! [X: pi,Y: pi] :
                ( ( perm_name_pi @ Pi @ ( if_pi @ C @ X @ Y ) )
                = ( perm_name_pi @ Pi @ X ) ) )
          & ( C
            | ! [X: pi,Y: pi] :
                ( ( perm_name_pi @ Pi @ ( if_pi @ C @ X @ Y ) )
                = ( perm_name_pi @ Pi @ Y ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[720]) ).

thf(930,plain,
    ( ( ! [X: pi,Y: pi] :
          ( ( X != Y )
          | ! [Pi: list_P227219501e_name] :
              ( ( perm_name_pi @ Pi @ X )
              = ( perm_name_pi @ Pi @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[719]) ).

thf(931,plain,
    ( ( ! [A: name,X: name,Y: name] :
          ( ~ ( fresh_441084397e_name @ A @ ( produc1570949143e_name @ X @ Y ) )
          | ( fresh_name_name @ A @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[718]) ).

thf(932,plain,
    ( ( ! [A: name,X: name] :
          ( ! [Y: name] :
              ~ ( fresh_441084397e_name @ A @ ( produc1570949143e_name @ X @ Y ) )
          | ( fresh_name_name @ A @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[717]) ).

thf(933,plain,
    ( ( ! [Pi: list_P227219501e_name,B: $o] :
          ( ( ~ ( perm_name_o @ Pi @ B )
            | ! [C1: pi,C22: pi] :
                ( ( perm_name_pi @ Pi @ ( if_pi @ B @ C1 @ C22 ) )
                = ( perm_name_pi @ Pi @ C1 ) ) )
          & ( ( perm_name_o @ Pi @ B )
            | ! [C1: pi,C22: pi] :
                ( ( perm_name_pi @ Pi @ ( if_pi @ B @ C1 @ C22 ) )
                = ( perm_name_pi @ Pi @ C22 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[716]) ).

thf(934,plain,
    ( ( ! [Pi: list_P227219501e_name,X: pi,Xs: list_pi] :
          ( ( perm_name_list_pi @ Pi @ ( cons_pi @ X @ Xs ) )
          = ( cons_pi @ ( perm_name_pi @ Pi @ X ) @ ( perm_name_list_pi @ Pi @ Xs ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[505]) ).

thf(935,plain,
    ( ( ! [P: pi,Rel: set_Pr1834926343_pi_pi,Q: pi,A: late_subject] :
          ( ~ ( strong743114133lation @ P @ Rel @ Q )
          | ! [X: name,Q2: pi] :
              ( ~ ( late_transitions @ Q @ ( late_BoundR @ A @ X @ Q2 ) )
              | ~ ( fresh_name_pi @ X @ P )
              | ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ ( sK92_P4 @ Q2 @ X @ A @ Q @ Rel @ P ) ) )
                & ( strong2129052853vative @ ( sK92_P4 @ Q2 @ X @ A @ Q @ Rel @ P ) @ Q2 @ A @ X @ Rel ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[715]) ).

thf(936,plain,
    ( ( ! [X2: name,Y2: name] :
          ( ( ( late_BoundOutputS @ X2 )
            = ( late_BoundOutputS @ Y2 ) )
          = ( X2 = Y2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[503]) ).

thf(937,plain,
    ( ( ! [Y: late_subject] :
          ( ( Y
            = ( late_InputS @ ( sK91_X13 @ Y ) ) )
          | ( Y
            = ( late_BoundOutputS @ ( sK90_X22 @ Y ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[714]) ).

thf(938,plain,
    ( ( ! [X1: name,X2: name] :
          ( ( late_InputS @ X1 )
         != ( late_BoundOutputS @ X2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[713]) ).

thf(939,plain,
    ( ( ! [X21: produc367475239e_name,X222: list_P227219501e_name,Y21: produc367475239e_name,Y22: list_P227219501e_name] :
          ( ( ( cons_P1213805021e_name @ X21 @ X222 )
            = ( cons_P1213805021e_name @ Y21 @ Y22 ) )
          = ( ( X21 = Y21 )
            & ( X222 = Y22 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[500]) ).

thf(940,plain,
    ( ( ! [Pi: list_P227219501e_name,X32: name,X1: name,X2: pi] :
          ( ( perm_name_pi @ Pi @ ( input @ X32 @ X1 @ X2 ) )
          = ( input @ ( perm_name_name @ Pi @ X32 ) @ ( perm_name_name @ Pi @ X1 ) @ ( perm_name_pi @ Pi @ X2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[499]) ).

thf(941,plain,
    ( ( ! [Name12: name,Name23: name,Pi: pi,Name: name,Pi3: pi] :
          ( ( input @ Name12 @ Name23 @ Pi )
         != ( res @ Name @ Pi3 ) ) )
    = $true ),
    inference(copy,[status(thm)],[712]) ).

thf(942,plain,
    ( ( ! [Name12: name,Name23: name,Pi: pi,Pi12: pi,Pi22: pi] :
          ( ( input @ Name12 @ Name23 @ Pi )
         != ( par @ Pi12 @ Pi22 ) ) )
    = $true ),
    inference(copy,[status(thm)],[711]) ).

thf(943,plain,
    ( ( ! [X: name,Y: name,P: pi,Rs: late_residual] :
          ~ ( late_transitions @ ( res @ X @ ( input @ X @ Y @ P ) ) @ Rs ) )
    = $true ),
    inference(copy,[status(thm)],[496]) ).

thf(944,plain,
    ( ( ! [A: name,X: name,P: pi,Alpha: late_freeRes,P3: pi] :
          ~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_FreeR @ Alpha @ P3 ) ) )
    = $true ),
    inference(copy,[status(thm)],[495]) ).

thf(945,plain,
    ( ( ! [X: name,A: name,Y: name,P: pi,Alpha: late_freeRes,P3: pi] :
          ~ ( late_transitions @ ( res @ X @ ( input @ A @ Y @ P ) ) @ ( late_FreeR @ Alpha @ P3 ) ) )
    = $true ),
    inference(copy,[status(thm)],[494]) ).

thf(946,plain,
    ( ( ! [A: name,X: name,P: pi,B: name,Y: name,P3: pi] :
          ~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ ( late_BoundOutputS @ B ) @ Y @ P3 ) ) )
    = $true ),
    inference(copy,[status(thm)],[493]) ).

thf(947,plain,
    ( ( ! [A: name,X: name,P: pi] : ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P ) ) )
    = $true ),
    inference(copy,[status(thm)],[492]) ).

thf(948,plain,
    ( ( ! [X: name,A: name] :
          ( ( X = A )
          | ! [P: pi] : ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[710]) ).

thf(949,plain,
    ( ( ! [A: name,X: name,P: pi,B: late_subject] :
          ( ! [Y: name,P3: pi] :
              ~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ B @ Y @ P3 ) )
          | ~ ( fresh_717452603ubject @ A @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[709]) ).

thf(950,plain,
    ( ( ! [X: name,A: name,Y: name,P: pi,B: name,Z: name,P3: pi] :
          ~ ( late_transitions @ ( res @ X @ ( input @ A @ Y @ P ) ) @ ( late_BoundR @ ( late_BoundOutputS @ B ) @ Z @ P3 ) ) )
    = $true ),
    inference(copy,[status(thm)],[489]) ).

thf(951,plain,
    ( ( ! [C: name,P: pi] :
          ( ~ ( fresh_name_pi @ C @ P )
          | ! [A: name,X: name] :
              ( ( input @ A @ X @ P )
              = ( input @ A @ C @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X @ C ) @ nil_Pr743626285e_name ) @ P ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[708]) ).

thf(952,plain,
    ( ( ! [A: name,B: name,Pi: list_P227219501e_name,X: name] :
          ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ Pi ) @ X )
          = ( swap_name2 @ ( produc1570949143e_name @ A @ B ) @ ( perm_name_name @ Pi @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[487]) ).

thf(953,plain,
    ( ( ! [A: name] :
          ( ! [C: name] :
              ( ( A != C )
              | ! [B: name] :
                  ( ( swap_name2 @ ( produc1570949143e_name @ A @ B ) @ C )
                  = B ) )
          & ! [C: name] :
              ( ( A = C )
              | ! [B: name] :
                  ( ( B != C )
                  | ( ( swap_name2 @ ( produc1570949143e_name @ A @ B ) @ C )
                    = A ) ) )
          & ! [C: name] :
              ( ( A = C )
              | ! [B: name] :
                  ( ( B = C )
                  | ( ( swap_name2 @ ( produc1570949143e_name @ A @ B ) @ C )
                    = C ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[707]) ).

thf(954,plain,
    ( ( ! [P: $o] :
          ( ( P = $true )
          | ( P = $false ) ) )
    = $true ),
    inference(copy,[status(thm)],[485]) ).

thf(955,plain,
    ( ( late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ ( late_OutputR @ ab @ x ) @ pq ) )
    = $true ),
    inference(copy,[status(thm)],[484]) ).

thf(956,plain,
    ( ( late_transitions @ q @ ( late_FreeR @ ( late_OutputR @ b @ c ) @ q2 ) )
    = $true ),
    inference(copy,[status(thm)],[483]) ).

thf(957,plain,
    ( ( ! [A: name,Pi: list_P227219501e_name] :
          ( ~ ( fresh_922791155e_name @ A @ Pi )
          | ! [X: late_subject] :
              ( ~ ( fresh_717452603ubject @ A @ X )
              | ( fresh_717452603ubject @ A @ ( perm_n1559866809ubject @ Pi @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[706]) ).

thf(958,plain,
    ( ( ! [A: name,Pi: list_P227219501e_name] :
          ( ~ ( fresh_922791155e_name @ A @ Pi )
          | ! [X: late_freeRes] :
              ( ~ ( fresh_1641682979reeRes @ A @ X )
              | ( fresh_1641682979reeRes @ A @ ( perm_n336613537reeRes @ Pi @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[705]) ).

thf(959,plain,
    ( ( ! [A: name,Pi: list_P227219501e_name] :
          ( ~ ( fresh_922791155e_name @ A @ Pi )
          | ! [X: pi_Rep] :
              ( ~ ( fresh_name_pi_Rep @ A @ X )
              | ( fresh_name_pi_Rep @ A @ ( perm_name_pi_Rep @ Pi @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[704]) ).

thf(960,plain,
    ( ( ! [A: name,Pi: list_P227219501e_name] :
          ( ~ ( fresh_922791155e_name @ A @ Pi )
          | ! [X: product_unit] :
              ( ~ ( fresh_1143631827t_unit @ A @ X )
              | ( fresh_1143631827t_unit @ A @ ( perm_n1960409557t_unit @ Pi @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[703]) ).

thf(961,plain,
    ( ( ! [A: name,Pi: list_P227219501e_name] :
          ( ~ ( fresh_922791155e_name @ A @ Pi )
          | ! [X: produc1141751126_pi_pi] :
              ( ~ ( fresh_1376661020_pi_pi @ A @ X )
              | ( fresh_1376661020_pi_pi @ A @ ( perm_n1255502110_pi_pi @ Pi @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[702]) ).

thf(962,plain,
    ( ( ! [A: name,Pi: list_P227219501e_name] :
          ( ~ ( fresh_922791155e_name @ A @ Pi )
          | ! [X: name] :
              ( ~ ( fresh_name_name @ A @ X )
              | ( fresh_name_name @ A @ ( perm_name_name @ Pi @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[701]) ).

thf(963,plain,
    ( ( ! [A: name,Pi: list_P227219501e_name] :
          ( ~ ( fresh_922791155e_name @ A @ Pi )
          | ! [X: name > noption_pi] :
              ( ~ ( fresh_543891186ion_pi @ A @ X )
              | ( fresh_543891186ion_pi @ A @ ( perm_n1667196784ion_pi @ Pi @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[700]) ).

thf(964,plain,
    ( ( ! [X: product_unit] : ( fresh_1143631827t_unit @ ( sK89_C2 @ X ) @ X ) )
    = $true ),
    inference(copy,[status(thm)],[699]) ).

thf(965,plain,
    ( ( ! [X: produc1141751126_pi_pi] : ( fresh_1376661020_pi_pi @ ( sK88_C2 @ X ) @ X ) )
    = $true ),
    inference(copy,[status(thm)],[698]) ).

thf(966,plain,
    ( ( ! [X: name] : ( fresh_name_name @ ( sK87_C2 @ X ) @ X ) )
    = $true ),
    inference(copy,[status(thm)],[697]) ).

thf(967,plain,
    ( ( ! [X: pi] : ( fresh_name_pi @ ( sK86_C2 @ X ) @ X ) )
    = $true ),
    inference(copy,[status(thm)],[696]) ).

thf(968,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: late_subject] :
          ( ( perm_name_o @ Pi @ ( fresh_717452603ubject @ A @ X ) )
          = ( fresh_717452603ubject @ ( perm_name_name @ Pi @ A ) @ ( perm_n1559866809ubject @ Pi @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[471]) ).

thf(969,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: late_freeRes] :
          ( ( perm_name_o @ Pi @ ( fresh_1641682979reeRes @ A @ X ) )
          = ( fresh_1641682979reeRes @ ( perm_name_name @ Pi @ A ) @ ( perm_n336613537reeRes @ Pi @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[470]) ).

thf(970,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: pi_Rep] :
          ( ( perm_name_o @ Pi @ ( fresh_name_pi_Rep @ A @ X ) )
          = ( fresh_name_pi_Rep @ ( perm_name_name @ Pi @ A ) @ ( perm_name_pi_Rep @ Pi @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[469]) ).

thf(971,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: product_unit] :
          ( ( perm_name_o @ Pi @ ( fresh_1143631827t_unit @ A @ X ) )
          = ( fresh_1143631827t_unit @ ( perm_name_name @ Pi @ A ) @ ( perm_n1960409557t_unit @ Pi @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[468]) ).

thf(972,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: produc1141751126_pi_pi] :
          ( ( perm_name_o @ Pi @ ( fresh_1376661020_pi_pi @ A @ X ) )
          = ( fresh_1376661020_pi_pi @ ( perm_name_name @ Pi @ A ) @ ( perm_n1255502110_pi_pi @ Pi @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[467]) ).

thf(973,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: name] :
          ( ( perm_name_o @ Pi @ ( fresh_name_name @ A @ X ) )
          = ( fresh_name_name @ ( perm_name_name @ Pi @ A ) @ ( perm_name_name @ Pi @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[466]) ).

thf(974,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: pi] :
          ( ( perm_name_o @ Pi @ ( fresh_name_pi @ A @ X ) )
          = ( fresh_name_pi @ ( perm_name_name @ Pi @ A ) @ ( perm_name_pi @ Pi @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[465]) ).

thf(975,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: name > noption_pi] :
          ( ( perm_name_o @ Pi @ ( fresh_543891186ion_pi @ A @ X ) )
          = ( fresh_543891186ion_pi @ ( perm_name_name @ Pi @ A ) @ ( perm_n1667196784ion_pi @ Pi @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[464]) ).

thf(976,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: late_subject] :
          ( ( fresh_717452603ubject @ ( perm_name_name @ Pi @ A ) @ ( perm_n1559866809ubject @ Pi @ X ) )
          = ( fresh_717452603ubject @ A @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[463]) ).

thf(977,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: late_freeRes] :
          ( ( fresh_1641682979reeRes @ ( perm_name_name @ Pi @ A ) @ ( perm_n336613537reeRes @ Pi @ X ) )
          = ( fresh_1641682979reeRes @ A @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[462]) ).

thf(978,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: pi_Rep] :
          ( ( fresh_name_pi_Rep @ ( perm_name_name @ Pi @ A ) @ ( perm_name_pi_Rep @ Pi @ X ) )
          = ( fresh_name_pi_Rep @ A @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[461]) ).

thf(979,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: product_unit] :
          ( ( fresh_1143631827t_unit @ ( perm_name_name @ Pi @ A ) @ ( perm_n1960409557t_unit @ Pi @ X ) )
          = ( fresh_1143631827t_unit @ A @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[460]) ).

thf(980,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: produc1141751126_pi_pi] :
          ( ( fresh_1376661020_pi_pi @ ( perm_name_name @ Pi @ A ) @ ( perm_n1255502110_pi_pi @ Pi @ X ) )
          = ( fresh_1376661020_pi_pi @ A @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[459]) ).

thf(981,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: name] :
          ( ( fresh_name_name @ ( perm_name_name @ Pi @ A ) @ ( perm_name_name @ Pi @ X ) )
          = ( fresh_name_name @ A @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[458]) ).

thf(982,plain,
    ( ( ! [Pi: list_P227219501e_name,A: name,X: name > noption_pi] :
          ( ( fresh_543891186ion_pi @ ( perm_name_name @ Pi @ A ) @ ( perm_n1667196784ion_pi @ Pi @ X ) )
          = ( fresh_543891186ion_pi @ A @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[457]) ).

thf(983,plain,
    ( ( ! [Pi1: list_P227219501e_name,Pi2: list_P227219501e_name,X: late_subject] :
          ( ( perm_n1559866809ubject @ Pi1 @ ( perm_n1559866809ubject @ Pi2 @ X ) )
          = ( perm_n1559866809ubject @ ( perm_n1160739829e_name @ Pi1 @ Pi2 ) @ ( perm_n1559866809ubject @ Pi1 @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[456]) ).

thf(984,plain,
    ( ( ! [Pi1: list_P227219501e_name,Pi2: list_P227219501e_name,X: late_freeRes] :
          ( ( perm_n336613537reeRes @ Pi1 @ ( perm_n336613537reeRes @ Pi2 @ X ) )
          = ( perm_n336613537reeRes @ ( perm_n1160739829e_name @ Pi1 @ Pi2 ) @ ( perm_n336613537reeRes @ Pi1 @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[455]) ).

thf(985,plain,
    ( ( ! [Pi1: list_P227219501e_name,Pi2: list_P227219501e_name,X: pi_Rep] :
          ( ( perm_name_pi_Rep @ Pi1 @ ( perm_name_pi_Rep @ Pi2 @ X ) )
          = ( perm_name_pi_Rep @ ( perm_n1160739829e_name @ Pi1 @ Pi2 ) @ ( perm_name_pi_Rep @ Pi1 @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[454]) ).

thf(986,plain,
    ( ( ! [Pi1: list_P227219501e_name,Pi2: list_P227219501e_name,X: name] :
          ( ( perm_name_name @ Pi1 @ ( perm_name_name @ Pi2 @ X ) )
          = ( perm_name_name @ ( perm_n1160739829e_name @ Pi1 @ Pi2 ) @ ( perm_name_name @ Pi1 @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[453]) ).

thf(987,plain,
    ( ( ! [Pi2: list_P227219501e_name,Pi1: list_P227219501e_name,X: late_subject] :
          ( ( perm_n1559866809ubject @ Pi2 @ ( perm_n1559866809ubject @ Pi1 @ X ) )
          = ( perm_n1559866809ubject @ ( perm_n1160739829e_name @ Pi2 @ Pi1 ) @ ( perm_n1559866809ubject @ Pi2 @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[452]) ).

thf(988,plain,
    ( ( ! [Pi2: list_P227219501e_name,Pi1: list_P227219501e_name,X: late_freeRes] :
          ( ( perm_n336613537reeRes @ Pi2 @ ( perm_n336613537reeRes @ Pi1 @ X ) )
          = ( perm_n336613537reeRes @ ( perm_n1160739829e_name @ Pi2 @ Pi1 ) @ ( perm_n336613537reeRes @ Pi2 @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[451]) ).

thf(989,plain,
    ( ( ! [Pi2: list_P227219501e_name,Pi1: list_P227219501e_name,X: pi_Rep] :
          ( ( perm_name_pi_Rep @ Pi2 @ ( perm_name_pi_Rep @ Pi1 @ X ) )
          = ( perm_name_pi_Rep @ ( perm_n1160739829e_name @ Pi2 @ Pi1 ) @ ( perm_name_pi_Rep @ Pi2 @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[450]) ).

thf(990,plain,
    ( ( ! [Pi2: list_P227219501e_name,Pi1: list_P227219501e_name,X: name] :
          ( ( perm_name_name @ Pi2 @ ( perm_name_name @ Pi1 @ X ) )
          = ( perm_name_name @ ( perm_n1160739829e_name @ Pi2 @ Pi1 ) @ ( perm_name_name @ Pi2 @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[449]) ).

thf(991,plain,
    ( ( ! [Pi2: list_P227219501e_name,Pi1: list_P227219501e_name,X: late_subject] :
          ( ( perm_n1559866809ubject @ Pi2 @ ( perm_n1559866809ubject @ Pi1 @ X ) )
          = ( perm_n1559866809ubject @ ( perm_n1160739829e_name @ Pi2 @ Pi1 ) @ ( perm_n1559866809ubject @ Pi2 @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[448]) ).

thf(992,plain,
    ( ( ! [Pi2: list_P227219501e_name,Pi1: list_P227219501e_name,X: late_freeRes] :
          ( ( perm_n336613537reeRes @ Pi2 @ ( perm_n336613537reeRes @ Pi1 @ X ) )
          = ( perm_n336613537reeRes @ ( perm_n1160739829e_name @ Pi2 @ Pi1 ) @ ( perm_n336613537reeRes @ Pi2 @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[447]) ).

thf(993,plain,
    ( ( ! [Pi2: list_P227219501e_name,Pi1: list_P227219501e_name,X: pi_Rep] :
          ( ( perm_name_pi_Rep @ Pi2 @ ( perm_name_pi_Rep @ Pi1 @ X ) )
          = ( perm_name_pi_Rep @ ( perm_n1160739829e_name @ Pi2 @ Pi1 ) @ ( perm_name_pi_Rep @ Pi2 @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[446]) ).

thf(994,plain,
    ( ( ! [Pi2: list_P227219501e_name,Pi1: list_P227219501e_name,X: name] :
          ( ( perm_name_name @ Pi2 @ ( perm_name_name @ Pi1 @ X ) )
          = ( perm_name_name @ ( perm_n1160739829e_name @ Pi2 @ Pi1 ) @ ( perm_name_name @ Pi2 @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[445]) ).

thf(995,plain,
    ( ( ! [Pi: list_P227219501e_name,X: late_subject,Y: late_subject] :
          ( ( ( perm_n1559866809ubject @ Pi @ X )
            = ( perm_n1559866809ubject @ Pi @ Y ) )
          = ( X = Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[444]) ).

thf(996,plain,
    ( ( ! [Pi: list_P227219501e_name,X: late_freeRes,Y: late_freeRes] :
          ( ( ( perm_n336613537reeRes @ Pi @ X )
            = ( perm_n336613537reeRes @ Pi @ Y ) )
          = ( X = Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[443]) ).

thf(997,plain,
    ( ( ! [Pi: list_P227219501e_name,X: pi_Rep,Y: pi_Rep] :
          ( ( ( perm_name_pi_Rep @ Pi @ X )
            = ( perm_name_pi_Rep @ Pi @ Y ) )
          = ( X = Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[442]) ).

thf(998,plain,
    ( ( ! [Pi: list_P227219501e_name,X: name,Y: name] :
          ( ( ( perm_name_name @ Pi @ X )
            = ( perm_name_name @ Pi @ Y ) )
          = ( X = Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[441]) ).

thf(999,plain,
    ( ( ! [Pi: list_P227219501e_name,F: late_subject > late_subject,X: late_subject] :
          ( ( perm_n1559866809ubject @ Pi @ ( F @ X ) )
          = ( perm_n1447856217ubject @ Pi @ F @ ( perm_n1559866809ubject @ Pi @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[440]) ).

thf(1000,plain,
    ( ( ! [Pi: list_P227219501e_name,F: late_freeRes > late_subject,X: late_freeRes] :
          ( ( perm_n1559866809ubject @ Pi @ ( F @ X ) )
          = ( perm_n303101761ubject @ Pi @ F @ ( perm_n336613537reeRes @ Pi @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[439]) ).

thf(1001,plain,
    ( ( ! [Pi: list_P227219501e_name,F: pi_Rep > late_subject,X: pi_Rep] :
          ( ( perm_n1559866809ubject @ Pi @ ( F @ X ) )
          = ( perm_n698371375ubject @ Pi @ F @ ( perm_name_pi_Rep @ Pi @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[438]) ).

thf(1002,plain,
    ( ( ! [Pi: list_P227219501e_name,F: name > late_subject,X: name] :
          ( ( perm_n1559866809ubject @ Pi @ ( F @ X ) )
          = ( perm_n1387060402ubject @ Pi @ F @ ( perm_name_name @ Pi @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[437]) ).

thf(1003,plain,
    ( ( ! [Pi: list_P227219501e_name,F: late_subject > late_freeRes,X: late_subject] :
          ( ( perm_n336613537reeRes @ Pi @ ( F @ X ) )
          = ( perm_n443561793reeRes @ Pi @ F @ ( perm_n1559866809ubject @ Pi @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[436]) ).

thf(1004,plain,
    ( ( ! [Pi: list_P227219501e_name,F: late_freeRes > late_freeRes,X: late_freeRes] :
          ( ( perm_n336613537reeRes @ Pi @ ( F @ X ) )
          = ( perm_n1446290985reeRes @ Pi @ F @ ( perm_n336613537reeRes @ Pi @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[435]) ).

thf(1005,plain,
    ( ( ! [Pi: list_P227219501e_name,F: pi_Rep > late_freeRes,X: pi_Rep] :
          ( ( perm_n336613537reeRes @ Pi @ ( F @ X ) )
          = ( perm_n1841560599reeRes @ Pi @ F @ ( perm_name_pi_Rep @ Pi @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[434]) ).

thf(1006,plain,
    ( ( ! [Pi: list_P227219501e_name,F: name > late_freeRes,X: name] :
          ( ( perm_n336613537reeRes @ Pi @ ( F @ X ) )
          = ( perm_n382765978reeRes @ Pi @ F @ ( perm_name_name @ Pi @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[433]) ).

thf(1007,plain,
    ( ( ! [Pi: list_P227219501e_name,X: late_subject,Y: late_subject] :
          ( ( perm_name_o @ Pi @ ( X = Y ) )
          = ( ( perm_n1559866809ubject @ Pi @ X )
            = ( perm_n1559866809ubject @ Pi @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[432]) ).

thf(1008,plain,
    ( ( ! [Pi: list_P227219501e_name,X: late_freeRes,Y: late_freeRes] :
          ( ( perm_name_o @ Pi @ ( X = Y ) )
          = ( ( perm_n336613537reeRes @ Pi @ X )
            = ( perm_n336613537reeRes @ Pi @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[431]) ).

thf(1009,plain,
    ( ( ! [Pi: list_P227219501e_name,X: pi_Rep,Y: pi_Rep] :
          ( ( perm_name_o @ Pi @ ( X = Y ) )
          = ( ( perm_name_pi_Rep @ Pi @ X )
            = ( perm_name_pi_Rep @ Pi @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[430]) ).

thf(1010,plain,
    ( ( ! [Pi: list_P227219501e_name,X: name,Y: name] :
          ( ( perm_name_o @ Pi @ ( X = Y ) )
          = ( ( perm_name_name @ Pi @ X )
            = ( perm_name_name @ Pi @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[429]) ).

thf(1011,plain,
    ( ( ! [P: pi,A: name,Y: name,P3: pi,Q: pi] :
          ( ~ ( late_transitions @ P @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ Y @ P3 ) )
          | ! [X: name,Q2: pi] :
              ( ~ ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A ) @ X @ Q2 ) )
              | ~ ( fresh_name_pi @ X @ P )
              | ~ ( fresh_name_pi @ X @ Q )
              | ~ ( fresh_name_pi @ Y @ P )
              | ~ ( fresh_name_pi @ Y @ Q )
              | ( X = A )
              | ~ ( fresh_name_pi @ X @ P3 )
              | ( Y = A )
              | ~ ( fresh_name_pi @ Y @ Q2 )
              | ( X = Y )
              | ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ P3 @ ( subs @ Q2 @ X @ Y ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[695]) ).

thf(1012,plain,
    ( ( ! [P: pi,A: name,X: name,P3: pi,Q: pi] :
          ( ~ ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P3 ) )
          | ! [Y: name,Q2: pi] :
              ( ~ ( late_transitions @ Q @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ Y @ Q2 ) )
              | ~ ( fresh_name_pi @ X @ P )
              | ~ ( fresh_name_pi @ X @ Q )
              | ~ ( fresh_name_pi @ Y @ P )
              | ~ ( fresh_name_pi @ Y @ Q )
              | ( X = A )
              | ~ ( fresh_name_pi @ X @ Q2 )
              | ( Y = A )
              | ~ ( fresh_name_pi @ Y @ P3 )
              | ( X = Y )
              | ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ ( subs @ P3 @ X @ Y ) @ Q2 ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[694]) ).

thf(1013,plain,
    ( ( ! [P: pi,A: name,Y: name,P3: pi,Q: pi] :
          ( ~ ( late_transitions @ P @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ Y @ P3 ) )
          | ! [X: name,Q2: pi] :
              ( ~ ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A ) @ X @ Q2 ) )
              | ~ ( fresh_name_pi @ Y @ Q )
              | ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ P3 @ ( subs @ Q2 @ X @ Y ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[693]) ).

thf(1014,plain,
    ( ( ! [P: pi,A: name,X: name,P3: pi,Q: pi] :
          ( ~ ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P3 ) )
          | ! [Y: name,Q2: pi] :
              ( ~ ( late_transitions @ Q @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ Y @ Q2 ) )
              | ~ ( fresh_name_pi @ Y @ P )
              | ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ ( subs @ P3 @ X @ Y ) @ Q2 ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[692]) ).

thf(1015,plain,
    ( ( ! [P: pi,A: name,B: name,P3: pi,Q: pi] :
          ( ~ ( late_transitions @ P @ ( late_FreeR @ ( late_OutputR @ A @ B ) @ P3 ) )
          | ! [X: name,Q2: pi] :
              ( ~ ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A ) @ X @ Q2 ) )
              | ~ ( fresh_name_pi @ X @ P )
              | ~ ( fresh_name_pi @ X @ Q )
              | ( X = A )
              | ( X = B )
              | ~ ( fresh_name_pi @ X @ P3 )
              | ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ P3 @ ( subs @ Q2 @ X @ B ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[691]) ).

thf(1016,plain,
    ( ( ! [P: pi,A: name,X: name,P3: pi,Q: pi] :
          ( ~ ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P3 ) )
          | ! [B: name,Q2: pi] :
              ( ~ ( late_transitions @ Q @ ( late_FreeR @ ( late_OutputR @ A @ B ) @ Q2 ) )
              | ~ ( fresh_name_pi @ X @ P )
              | ~ ( fresh_name_pi @ X @ Q )
              | ( X = A )
              | ( X = B )
              | ~ ( fresh_name_pi @ X @ Q2 )
              | ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ P3 @ X @ B ) @ Q2 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[690]) ).

thf(1017,plain,
    ( ( ! [P: pi,A: name,B: name,P3: pi,Q: pi] :
          ( ~ ( late_transitions @ P @ ( late_FreeR @ ( late_OutputR @ A @ B ) @ P3 ) )
          | ! [X: name,Q2: pi] :
              ( ~ ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A ) @ X @ Q2 ) )
              | ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ P3 @ ( subs @ Q2 @ X @ B ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[689]) ).

thf(1018,plain,
    ( ( ! [P: pi,A: name,X: name,P3: pi,Q: pi] :
          ( ~ ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P3 ) )
          | ! [B: name,Q2: pi] :
              ( ~ ( late_transitions @ Q @ ( late_FreeR @ ( late_OutputR @ A @ B ) @ Q2 ) )
              | ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ P3 @ X @ B ) @ Q2 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[688]) ).

thf(1019,plain,
    ( ( ! [A: name,X2: name,X1: name] :
          ( ( fresh_1641682979reeRes @ A @ ( late_OutputR @ X2 @ X1 ) )
          = ( ( fresh_name_name @ A @ X2 )
            & ( fresh_name_name @ A @ X1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[420]) ).

thf(1020,plain,
    ( ( ! [X2: name,X1: name,Y2: name,Y1: name] :
          ( ( ( late_OutputR @ X2 @ X1 )
            = ( late_OutputR @ Y2 @ Y1 ) )
          = ( ( X2 = Y2 )
            & ( X1 = Y1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[419]) ).

thf(1021,plain,
    ( ( ! [A: name] : ( fresh_1641682979reeRes @ A @ late_TauR ) )
    = $true ),
    inference(copy,[status(thm)],[418]) ).

thf(1022,plain,
    ( ( ! [Pi: list_P227219501e_name] :
          ( ( perm_n336613537reeRes @ Pi @ late_TauR )
          = late_TauR ) )
    = $true ),
    inference(copy,[status(thm)],[417]) ).

thf(1023,plain,
    ( ( ! [A: name,X2: late_freeRes,X1: pi] :
          ( ( fresh_81631222sidual @ A @ ( late_FreeR @ X2 @ X1 ) )
          = ( ( fresh_1641682979reeRes @ A @ X2 )
            & ( fresh_name_pi @ A @ X1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[416]) ).

thf(1024,plain,
    ( ( ! [Pi: list_P227219501e_name,X2: late_freeRes,X1: pi] :
          ( ( perm_n414416632sidual @ Pi @ ( late_FreeR @ X2 @ X1 ) )
          = ( late_FreeR @ ( perm_n336613537reeRes @ Pi @ X2 ) @ ( perm_name_pi @ Pi @ X1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[415]) ).

thf(1025,plain,
    ( ( ! [Pi: list_P227219501e_name,X2: name,X1: name] :
          ( ( perm_n336613537reeRes @ Pi @ ( late_OutputR @ X2 @ X1 ) )
          = ( late_OutputR @ ( perm_name_name @ Pi @ X2 ) @ ( perm_name_name @ Pi @ X1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[414]) ).

thf(1026,plain,
    ( ( ! [Pi: list_P227219501e_name,X1: name] :
          ( ( perm_n1559866809ubject @ Pi @ ( late_InputS @ X1 ) )
          = ( late_InputS @ ( perm_name_name @ Pi @ X1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[413]) ).

thf(1027,plain,
    ( ( ! [A: name,X1: name] :
          ( ( fresh_717452603ubject @ A @ ( late_InputS @ X1 ) )
          = ( fresh_name_name @ A @ X1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[412]) ).

thf(1028,plain,
    ( ( ! [Pi: list_P227219501e_name,X32: late_subject,X1: name,X2: pi] :
          ( ( perm_n414416632sidual @ Pi @ ( late_BoundR @ X32 @ X1 @ X2 ) )
          = ( late_BoundR @ ( perm_n1559866809ubject @ Pi @ X32 ) @ ( perm_name_name @ Pi @ X1 ) @ ( perm_name_pi @ Pi @ X2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[411]) ).

thf(1029,plain,
    ( ( ! [Pi: list_P227219501e_name,X: name,Y: name] :
          ( ( ( perm_name_name @ Pi @ X )
            = ( perm_name_name @ Pi @ Y ) )
          = ( X = Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[410]) ).

thf(1030,plain,
    ( ( ! [P: pi,Alpha: late_freeRes] :
          ( ! [P3: pi] :
              ~ ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
          | ! [Y: name] :
              ( ~ ( fresh_name_pi @ Y @ P )
              | ( fresh_1641682979reeRes @ Y @ Alpha ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[687]) ).

thf(1031,plain,
    ( ( ! [X: name,P: pi,Rs: late_residual] :
          ( ~ ( late_transitions @ ( res @ X @ P ) @ Rs )
          | ( ( ( res @ X @ P )
              = ( res @ ( sK84_SY1081 @ Rs @ P @ X ) @ ( sK82_P5 @ Rs @ P @ X ) ) )
            & ( Rs
              = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ Rs @ P @ X ) ) @ ( sK84_SY1081 @ Rs @ P @ X ) @ ( sK85_SY1083 @ Rs @ P @ X ) ) )
            & ( late_transitions @ ( sK82_P5 @ Rs @ P @ X ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ Rs @ P @ X ) @ ( sK84_SY1081 @ Rs @ P @ X ) ) @ ( sK85_SY1083 @ Rs @ P @ X ) ) )
            & ( ( sK83_SY1078 @ Rs @ P @ X )
             != ( sK84_SY1081 @ Rs @ P @ X ) ) )
          | ( ( ( res @ X @ P )
              = ( res @ ( sK81_SY1077 @ Rs @ P @ X ) @ ( sK77_P5 @ Rs @ P @ X ) ) )
            & ( Rs
              = ( late_BoundR @ ( sK78_SY1068 @ Rs @ P @ X ) @ ( sK79_SY1072 @ Rs @ P @ X ) @ ( res @ ( sK81_SY1077 @ Rs @ P @ X ) @ ( sK80_SY1075 @ Rs @ P @ X ) ) ) )
            & ( late_transitions @ ( sK77_P5 @ Rs @ P @ X ) @ ( late_BoundR @ ( sK78_SY1068 @ Rs @ P @ X ) @ ( sK79_SY1072 @ Rs @ P @ X ) @ ( sK80_SY1075 @ Rs @ P @ X ) ) )
            & ( fresh_717452603ubject @ ( sK81_SY1077 @ Rs @ P @ X ) @ ( sK78_SY1068 @ Rs @ P @ X ) )
            & ( ( sK81_SY1077 @ Rs @ P @ X )
             != ( sK79_SY1072 @ Rs @ P @ X ) )
            & ( fresh_name_pi @ ( sK79_SY1072 @ Rs @ P @ X ) @ ( sK77_P5 @ Rs @ P @ X ) )
            & ( fresh_717452603ubject @ ( sK79_SY1072 @ Rs @ P @ X ) @ ( sK78_SY1068 @ Rs @ P @ X ) ) )
          | ( ( ( res @ X @ P )
              = ( res @ ( sK76_SY1067 @ Rs @ P @ X ) @ ( sK73_P5 @ Rs @ P @ X ) ) )
            & ( Rs
              = ( late_FreeR @ ( sK74_SY1062 @ Rs @ P @ X ) @ ( res @ ( sK76_SY1067 @ Rs @ P @ X ) @ ( sK75_SY1065 @ Rs @ P @ X ) ) ) )
            & ( late_transitions @ ( sK73_P5 @ Rs @ P @ X ) @ ( late_FreeR @ ( sK74_SY1062 @ Rs @ P @ X ) @ ( sK75_SY1065 @ Rs @ P @ X ) ) )
            & ( fresh_1641682979reeRes @ ( sK76_SY1067 @ Rs @ P @ X ) @ ( sK74_SY1062 @ Rs @ P @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[686]) ).

thf(1032,plain,
    ( ( ! [X2: late_freeRes,X1: pi,Y2: late_freeRes,Y1: pi] :
          ( ( ( late_FreeR @ X2 @ X1 )
            = ( late_FreeR @ Y2 @ Y1 ) )
          = ( ( X2 = Y2 )
            & ( X1 = Y1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[407]) ).

thf(1033,plain,
    ( ( ! [X5: name,P: pi,A: late_subject,Y4: name,P3: pi] :
          ( ~ ( late_transitions @ ( res @ X5 @ P ) @ ( late_BoundR @ A @ Y4 @ P3 ) )
          | ( ( ( res @ X5 @ P )
              = ( res @ ( sK71_SY1059 @ P3 @ Y4 @ A @ P @ X5 ) @ ( sK69_P5 @ P3 @ Y4 @ A @ P @ X5 ) ) )
            & ( ( late_BoundR @ A @ Y4 @ P3 )
              = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ P3 @ Y4 @ A @ P @ X5 ) ) @ ( sK71_SY1059 @ P3 @ Y4 @ A @ P @ X5 ) @ ( sK72_SY1061 @ P3 @ Y4 @ A @ P @ X5 ) ) )
            & ( late_transitions @ ( sK69_P5 @ P3 @ Y4 @ A @ P @ X5 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ P3 @ Y4 @ A @ P @ X5 ) @ ( sK71_SY1059 @ P3 @ Y4 @ A @ P @ X5 ) ) @ ( sK72_SY1061 @ P3 @ Y4 @ A @ P @ X5 ) ) )
            & ( ( sK70_SY1056 @ P3 @ Y4 @ A @ P @ X5 )
             != ( sK71_SY1059 @ P3 @ Y4 @ A @ P @ X5 ) ) )
          | ( ( ( res @ X5 @ P )
              = ( res @ ( sK68_SY1055 @ P3 @ Y4 @ A @ P @ X5 ) @ ( sK64_P5 @ P3 @ Y4 @ A @ P @ X5 ) ) )
            & ( ( late_BoundR @ A @ Y4 @ P3 )
              = ( late_BoundR @ ( sK65_SY1046 @ P3 @ Y4 @ A @ P @ X5 ) @ ( sK66_SY1050 @ P3 @ Y4 @ A @ P @ X5 ) @ ( res @ ( sK68_SY1055 @ P3 @ Y4 @ A @ P @ X5 ) @ ( sK67_SY1053 @ P3 @ Y4 @ A @ P @ X5 ) ) ) )
            & ( late_transitions @ ( sK64_P5 @ P3 @ Y4 @ A @ P @ X5 ) @ ( late_BoundR @ ( sK65_SY1046 @ P3 @ Y4 @ A @ P @ X5 ) @ ( sK66_SY1050 @ P3 @ Y4 @ A @ P @ X5 ) @ ( sK67_SY1053 @ P3 @ Y4 @ A @ P @ X5 ) ) )
            & ( fresh_717452603ubject @ ( sK68_SY1055 @ P3 @ Y4 @ A @ P @ X5 ) @ ( sK65_SY1046 @ P3 @ Y4 @ A @ P @ X5 ) )
            & ( ( sK68_SY1055 @ P3 @ Y4 @ A @ P @ X5 )
             != ( sK66_SY1050 @ P3 @ Y4 @ A @ P @ X5 ) )
            & ( fresh_name_pi @ ( sK66_SY1050 @ P3 @ Y4 @ A @ P @ X5 ) @ ( sK64_P5 @ P3 @ Y4 @ A @ P @ X5 ) )
            & ( fresh_717452603ubject @ ( sK66_SY1050 @ P3 @ Y4 @ A @ P @ X5 ) @ ( sK65_SY1046 @ P3 @ Y4 @ A @ P @ X5 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[685]) ).

thf(1034,plain,
    ( ( ! [P: late_freeRes > $o] :
          ( ~ ( P @ ( late_OutputR @ ( sK62_Name1 @ P ) @ ( sK63_SY1045 @ P ) ) )
          | ~ ( P @ late_TauR )
          | ! [FreeRes3: late_freeRes] : ( P @ FreeRes3 ) ) )
    = $true ),
    inference(copy,[status(thm)],[684]) ).

thf(1035,plain,
    ( ( ! [Name12: name,Name23: name] :
          ( ( late_OutputR @ Name12 @ Name23 )
         != late_TauR ) )
    = $true ),
    inference(copy,[status(thm)],[683]) ).

thf(1036,plain,
    ( ( ! [Y: name,P: pi,A: late_subject,X: name,YP: pi] :
          ( ~ ( late_transitions @ ( res @ Y @ P ) @ ( late_BoundR @ A @ X @ YP ) )
          | ( X = Y )
          | ~ ( fresh_name_pi @ X @ P )
          | ! [F2: late_subject > pi > $o] :
              ( ( ( late_transitions @ P @ ( late_FreeR @ ( late_OutputR @ ( sK60_B2 @ F2 @ YP @ X @ A @ P @ Y ) @ Y ) @ ( sK61_SY1044 @ F2 @ YP @ X @ A @ P @ Y ) ) )
                & ( ( sK60_B2 @ F2 @ YP @ X @ A @ P @ Y )
                 != Y )
                & ( A
                  = ( late_BoundOutputS @ ( sK60_B2 @ F2 @ YP @ X @ A @ P @ Y ) ) )
                & ~ ( F2 @ ( late_BoundOutputS @ ( sK60_B2 @ F2 @ YP @ X @ A @ P @ Y ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X @ Y ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ F2 @ YP @ X @ A @ P @ Y ) ) ) )
              | ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ ( sK59_P4 @ F2 @ YP @ X @ A @ P @ Y ) ) )
                & ( fresh_717452603ubject @ Y @ A )
                & ~ ( F2 @ A @ ( res @ Y @ ( sK59_P4 @ F2 @ YP @ X @ A @ P @ Y ) ) ) )
              | ( F2 @ A @ YP ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[682]) ).

thf(1037,plain,
    ( ( ! [P: product_unit > late_residual > $o] :
          ( ( ( fresh_1143631827t_unit @ ( sK56_SY1038 @ P ) @ ( sK58_SY1043 @ P ) )
            & ( fresh_717452603ubject @ ( sK56_SY1038 @ P ) @ ( sK55_Subject2 @ P ) )
            & ~ ( P @ ( sK58_SY1043 @ P ) @ ( late_BoundR @ ( sK55_Subject2 @ P ) @ ( sK56_SY1038 @ P ) @ ( sK57_SY1041 @ P ) ) ) )
          | ~ ( P @ ( sK54_SY1037 @ P ) @ ( late_FreeR @ ( sK52_FreeRes2 @ P ) @ ( sK53_SY1035 @ P ) ) )
          | ! [Z: product_unit,Residual: late_residual] : ( P @ Z @ Residual ) ) )
    = $true ),
    inference(copy,[status(thm)],[681]) ).

thf(1038,plain,
    ( ( ! [P: produc1141751126_pi_pi > late_residual > $o] :
          ( ( ( fresh_1376661020_pi_pi @ ( sK49_SY1029 @ P ) @ ( sK51_SY1034 @ P ) )
            & ( fresh_717452603ubject @ ( sK49_SY1029 @ P ) @ ( sK48_Subject2 @ P ) )
            & ~ ( P @ ( sK51_SY1034 @ P ) @ ( late_BoundR @ ( sK48_Subject2 @ P ) @ ( sK49_SY1029 @ P ) @ ( sK50_SY1032 @ P ) ) ) )
          | ~ ( P @ ( sK47_SY1028 @ P ) @ ( late_FreeR @ ( sK45_FreeRes2 @ P ) @ ( sK46_SY1026 @ P ) ) )
          | ! [Z: produc1141751126_pi_pi,Residual: late_residual] : ( P @ Z @ Residual ) ) )
    = $true ),
    inference(copy,[status(thm)],[680]) ).

thf(1039,plain,
    ( ( ! [P: name > late_residual > $o] :
          ( ( ( fresh_name_name @ ( sK42_SY1020 @ P ) @ ( sK44_SY1025 @ P ) )
            & ( fresh_717452603ubject @ ( sK42_SY1020 @ P ) @ ( sK41_Subject2 @ P ) )
            & ~ ( P @ ( sK44_SY1025 @ P ) @ ( late_BoundR @ ( sK41_Subject2 @ P ) @ ( sK42_SY1020 @ P ) @ ( sK43_SY1023 @ P ) ) ) )
          | ~ ( P @ ( sK40_SY1019 @ P ) @ ( late_FreeR @ ( sK38_FreeRes2 @ P ) @ ( sK39_SY1017 @ P ) ) )
          | ! [Z: name,Residual: late_residual] : ( P @ Z @ Residual ) ) )
    = $true ),
    inference(copy,[status(thm)],[679]) ).

thf(1040,plain,
    ( ( ! [P: pi > late_residual > $o] :
          ( ( ( fresh_name_pi @ ( sK35_SY1011 @ P ) @ ( sK37_SY1016 @ P ) )
            & ( fresh_717452603ubject @ ( sK35_SY1011 @ P ) @ ( sK34_Subject2 @ P ) )
            & ~ ( P @ ( sK37_SY1016 @ P ) @ ( late_BoundR @ ( sK34_Subject2 @ P ) @ ( sK35_SY1011 @ P ) @ ( sK36_SY1014 @ P ) ) ) )
          | ~ ( P @ ( sK33_SY1010 @ P ) @ ( late_FreeR @ ( sK31_FreeRes2 @ P ) @ ( sK32_SY1008 @ P ) ) )
          | ! [Z: pi,Residual: late_residual] : ( P @ Z @ Residual ) ) )
    = $true ),
    inference(copy,[status(thm)],[678]) ).

thf(1041,plain,
    ( ( ! [P: product_unit > late_residual > $o] :
          ( ( ( fresh_1143631827t_unit @ ( sK28_SY1002 @ P ) @ ( sK30_SY1007 @ P ) )
            & ( fresh_717452603ubject @ ( sK28_SY1002 @ P ) @ ( sK27_Subject2 @ P ) )
            & ~ ( P @ ( sK30_SY1007 @ P ) @ ( late_BoundR @ ( sK27_Subject2 @ P ) @ ( sK28_SY1002 @ P ) @ ( sK29_SY1005 @ P ) ) ) )
          | ~ ( P @ ( sK26_SY1001 @ P ) @ ( late_FreeR @ ( sK24_FreeRes2 @ P ) @ ( sK25_SY999 @ P ) ) )
          | ! [Z: product_unit,Residual: late_residual] : ( P @ Z @ Residual ) ) )
    = $true ),
    inference(copy,[status(thm)],[677]) ).

thf(1042,plain,
    ( ( ! [P: produc1141751126_pi_pi > late_residual > $o] :
          ( ( ( fresh_1376661020_pi_pi @ ( sK21_SY993 @ P ) @ ( sK23_SY998 @ P ) )
            & ( fresh_717452603ubject @ ( sK21_SY993 @ P ) @ ( sK20_Subject2 @ P ) )
            & ~ ( P @ ( sK23_SY998 @ P ) @ ( late_BoundR @ ( sK20_Subject2 @ P ) @ ( sK21_SY993 @ P ) @ ( sK22_SY996 @ P ) ) ) )
          | ~ ( P @ ( sK19_SY992 @ P ) @ ( late_FreeR @ ( sK17_FreeRes2 @ P ) @ ( sK18_SY990 @ P ) ) )
          | ! [Z: produc1141751126_pi_pi,Residual: late_residual] : ( P @ Z @ Residual ) ) )
    = $true ),
    inference(copy,[status(thm)],[676]) ).

thf(1043,plain,
    ( ( ! [P: name > late_residual > $o] :
          ( ( ( fresh_name_name @ ( sK14_SY984 @ P ) @ ( sK16_SY989 @ P ) )
            & ( fresh_717452603ubject @ ( sK14_SY984 @ P ) @ ( sK13_Subject2 @ P ) )
            & ~ ( P @ ( sK16_SY989 @ P ) @ ( late_BoundR @ ( sK13_Subject2 @ P ) @ ( sK14_SY984 @ P ) @ ( sK15_SY987 @ P ) ) ) )
          | ~ ( P @ ( sK12_SY983 @ P ) @ ( late_FreeR @ ( sK10_FreeRes2 @ P ) @ ( sK11_SY981 @ P ) ) )
          | ! [Z: name,Residual: late_residual] : ( P @ Z @ Residual ) ) )
    = $true ),
    inference(copy,[status(thm)],[675]) ).

thf(1044,plain,
    ( ( ! [P: pi > late_residual > $o] :
          ( ( ( fresh_name_pi @ ( sK7_SY975 @ P ) @ ( sK9_SY980 @ P ) )
            & ( fresh_717452603ubject @ ( sK7_SY975 @ P ) @ ( sK6_Subject2 @ P ) )
            & ~ ( P @ ( sK9_SY980 @ P ) @ ( late_BoundR @ ( sK6_Subject2 @ P ) @ ( sK7_SY975 @ P ) @ ( sK8_SY978 @ P ) ) ) )
          | ~ ( P @ ( sK5_SY974 @ P ) @ ( late_FreeR @ ( sK3_FreeRes2 @ P ) @ ( sK4_SY972 @ P ) ) )
          | ! [Z: pi,Residual: late_residual] : ( P @ Z @ Residual ) ) )
    = $true ),
    inference(copy,[status(thm)],[674]) ).

thf(1045,plain,
    ( ( ! [P: pi,Q: pi,A: late_subject,X: name,Rel: set_Pr1834926343_pi_pi] :
          ( ~ ( strong2129052853vative @ P @ Q @ A @ X @ Rel )
          | ~ ( eqvt_pi @ Rel )
          | ! [Perm: list_P227219501e_name] : ( strong2129052853vative @ ( perm_name_pi @ Perm @ P ) @ ( perm_name_pi @ Perm @ Q ) @ ( perm_n1559866809ubject @ Perm @ A ) @ ( perm_name_name @ Perm @ X ) @ Rel ) ) )
    = $true ),
    inference(copy,[status(thm)],[673]) ).

thf(1046,plain,
    ( ( ! [A: name,X: pi,Xs: list_pi] :
          ( ( fresh_name_list_pi @ A @ ( cons_pi @ X @ Xs ) )
          = ( ( fresh_name_list_pi @ A @ Xs )
            & ( fresh_name_pi @ A @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[672]) ).

thf(1047,plain,
    ( ( fresh_name_name
      = ( ^ [A4: name,B3: name] : ( A4 != B3 ) ) )
    = $true ),
    inference(copy,[status(thm)],[671]) ).

thf(1048,plain,
    ( ( ! [A: name] : ( fresh_1143631827t_unit @ A @ product_Unity ) )
    = $true ),
    inference(copy,[status(thm)],[391]) ).

thf(1049,plain,
    ( ( ! [Y: name] : ( fresh_1143631827t_unit @ Y @ product_Unity ) )
    = $true ),
    inference(copy,[status(thm)],[390]) ).

thf(1050,plain,
    ( ( ! [C: $o,Pi: list_P227219501e_name] :
          ( ( ~ C
            | ! [X: late_subject,Y: late_subject] :
                ( ( perm_n1559866809ubject @ Pi @ ( if_Late_subject @ C @ X @ Y ) )
                = ( perm_n1559866809ubject @ Pi @ X ) ) )
          & ( C
            | ! [X: late_subject,Y: late_subject] :
                ( ( perm_n1559866809ubject @ Pi @ ( if_Late_subject @ C @ X @ Y ) )
                = ( perm_n1559866809ubject @ Pi @ Y ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[670]) ).

thf(1051,plain,
    ( ( ! [C: $o,Pi: list_P227219501e_name] :
          ( ( ~ C
            | ! [X: late_freeRes,Y: late_freeRes] :
                ( ( perm_n336613537reeRes @ Pi @ ( if_Late_freeRes @ C @ X @ Y ) )
                = ( perm_n336613537reeRes @ Pi @ X ) ) )
          & ( C
            | ! [X: late_freeRes,Y: late_freeRes] :
                ( ( perm_n336613537reeRes @ Pi @ ( if_Late_freeRes @ C @ X @ Y ) )
                = ( perm_n336613537reeRes @ Pi @ Y ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[669]) ).

thf(1052,plain,
    ( ( ! [C: $o,Pi: list_P227219501e_name] :
          ( ( ~ C
            | ! [X: pi_Rep,Y: pi_Rep] :
                ( ( perm_name_pi_Rep @ Pi @ ( if_pi_Rep @ C @ X @ Y ) )
                = ( perm_name_pi_Rep @ Pi @ X ) ) )
          & ( C
            | ! [X: pi_Rep,Y: pi_Rep] :
                ( ( perm_name_pi_Rep @ Pi @ ( if_pi_Rep @ C @ X @ Y ) )
                = ( perm_name_pi_Rep @ Pi @ Y ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[668]) ).

thf(1053,plain,
    ( ( ! [C: $o,Pi: list_P227219501e_name] :
          ( ( ~ C
            | ! [X: name,Y: name] :
                ( ( perm_name_name @ Pi @ ( if_name @ C @ X @ Y ) )
                = ( perm_name_name @ Pi @ X ) ) )
          & ( C
            | ! [X: name,Y: name] :
                ( ( perm_name_name @ Pi @ ( if_name @ C @ X @ Y ) )
                = ( perm_name_name @ Pi @ Y ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[667]) ).

thf(1054,plain,
    ( ( ! [X: late_subject,Y: late_subject] :
          ( ( X != Y )
          | ! [Pi: list_P227219501e_name] :
              ( ( perm_n1559866809ubject @ Pi @ X )
              = ( perm_n1559866809ubject @ Pi @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[666]) ).

thf(1055,plain,
    ( ( ! [X: late_freeRes,Y: late_freeRes] :
          ( ( X != Y )
          | ! [Pi: list_P227219501e_name] :
              ( ( perm_n336613537reeRes @ Pi @ X )
              = ( perm_n336613537reeRes @ Pi @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[665]) ).

thf(1056,plain,
    ( ( ! [X: pi_Rep,Y: pi_Rep] :
          ( ( X != Y )
          | ! [Pi: list_P227219501e_name] :
              ( ( perm_name_pi_Rep @ Pi @ X )
              = ( perm_name_pi_Rep @ Pi @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[664]) ).

thf(1057,plain,
    ( ( ! [X: name,Y: name] :
          ( ( X != Y )
          | ! [Pi: list_P227219501e_name] :
              ( ( perm_name_name @ Pi @ X )
              = ( perm_name_name @ Pi @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[663]) ).

thf(1058,plain,
    ( ( ! [A: name,X: name] :
          ( ! [Y: product_prod_pi_pi] :
              ~ ( fresh_1376661020_pi_pi @ A @ ( produc235456326_pi_pi @ X @ Y ) )
          | ( fresh_name_name @ A @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[662]) ).

thf(1059,plain,
    ( ( ! [Pi: list_P227219501e_name,B: $o] :
          ( ( ~ ( perm_name_o @ Pi @ B )
            | ! [C1: late_subject,C22: late_subject] :
                ( ( perm_n1559866809ubject @ Pi @ ( if_Late_subject @ B @ C1 @ C22 ) )
                = ( perm_n1559866809ubject @ Pi @ C1 ) ) )
          & ( ( perm_name_o @ Pi @ B )
            | ! [C1: late_subject,C22: late_subject] :
                ( ( perm_n1559866809ubject @ Pi @ ( if_Late_subject @ B @ C1 @ C22 ) )
                = ( perm_n1559866809ubject @ Pi @ C22 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[661]) ).

thf(1060,plain,
    ( ( ! [Pi: list_P227219501e_name,B: $o] :
          ( ( ~ ( perm_name_o @ Pi @ B )
            | ! [C1: late_freeRes,C22: late_freeRes] :
                ( ( perm_n336613537reeRes @ Pi @ ( if_Late_freeRes @ B @ C1 @ C22 ) )
                = ( perm_n336613537reeRes @ Pi @ C1 ) ) )
          & ( ( perm_name_o @ Pi @ B )
            | ! [C1: late_freeRes,C22: late_freeRes] :
                ( ( perm_n336613537reeRes @ Pi @ ( if_Late_freeRes @ B @ C1 @ C22 ) )
                = ( perm_n336613537reeRes @ Pi @ C22 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[660]) ).

thf(1061,plain,
    ( ( ! [Pi: list_P227219501e_name,B: $o] :
          ( ( ~ ( perm_name_o @ Pi @ B )
            | ! [C1: pi_Rep,C22: pi_Rep] :
                ( ( perm_name_pi_Rep @ Pi @ ( if_pi_Rep @ B @ C1 @ C22 ) )
                = ( perm_name_pi_Rep @ Pi @ C1 ) ) )
          & ( ( perm_name_o @ Pi @ B )
            | ! [C1: pi_Rep,C22: pi_Rep] :
                ( ( perm_name_pi_Rep @ Pi @ ( if_pi_Rep @ B @ C1 @ C22 ) )
                = ( perm_name_pi_Rep @ Pi @ C22 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[659]) ).

thf(1062,plain,
    ( ( ! [Pi: list_P227219501e_name,B: $o] :
          ( ( ~ ( perm_name_o @ Pi @ B )
            | ! [C1: name,C22: name] :
                ( ( perm_name_name @ Pi @ ( if_name @ B @ C1 @ C22 ) )
                = ( perm_name_name @ Pi @ C1 ) ) )
          & ( ( perm_name_o @ Pi @ B )
            | ! [C1: name,C22: name] :
                ( ( perm_name_name @ Pi @ ( if_name @ B @ C1 @ C22 ) )
                = ( perm_name_name @ Pi @ C22 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[658]) ).

thf(1063,plain,
    ( ( ! [X1: name,Y1: name] :
          ( ( ( late_InputS @ X1 )
            = ( late_InputS @ Y1 ) )
          = ( X1 = Y1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[376]) ).

thf(1064,plain,
    ( ( ! [X11: name,X12: name,Y11: name,Y12: name] :
          ( ( ( late_OutputR @ X11 @ X12 )
            = ( late_OutputR @ Y11 @ Y12 ) )
          = ( ( X11 = Y11 )
            & ( X12 = Y12 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[375]) ).

thf(1065,plain,
    ( ( ! [X11: name,X12: name] :
          ( ( late_OutputR @ X11 @ X12 )
         != late_TauR ) )
    = $true ),
    inference(copy,[status(thm)],[657]) ).

thf(1066,plain,
    ( ( ! [Y: late_freeRes] :
          ( ( Y
            = ( late_OutputR @ ( sK1_X112 @ Y ) @ ( sK2_SY971 @ Y ) ) )
          | ( Y = late_TauR ) ) )
    = $true ),
    inference(copy,[status(thm)],[656]) ).

thf(1067,plain,
    ( ( ! [A: name,X: name,P: pi,B: late_subject,Y: name] :
          ( ! [YP: pi] :
              ( ~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ B @ Y @ YP ) )
              | ( Y = A )
              | ( Y = X )
              | ~ ( fresh_name_pi @ Y @ P )
              | ( B
                = ( late_InputS @ A ) )
              | ! [Prop: late_subject > name > pi > $o] : ( Prop @ B @ Y @ YP ) )
          & ! [YP: pi] :
              ( ~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ B @ Y @ YP ) )
              | ( Y = A )
              | ( Y = X )
              | ~ ( fresh_name_pi @ Y @ P )
              | ( YP
                = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X @ Y ) @ nil_Pr743626285e_name ) @ P ) )
              | ! [Prop: late_subject > name > pi > $o] : ( Prop @ B @ Y @ YP ) )
          & ! [YP: pi] :
              ( ~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ B @ Y @ YP ) )
              | ( Y = A )
              | ( Y = X )
              | ~ ( fresh_name_pi @ Y @ P )
              | ! [Prop: late_subject > name > pi > $o] :
                  ( ~ ( Prop @ ( late_InputS @ A ) @ Y @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X @ Y ) @ nil_Pr743626285e_name ) @ P ) )
                  | ( Prop @ B @ Y @ YP ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[655]) ).

thf(1068,plain,
    ( ( ! [P: product_unit > $o] :
          ( ~ ( P @ product_Unity )
          | ! [Unit: product_unit] : ( P @ Unit ) ) )
    = $true ),
    inference(copy,[status(thm)],[654]) ).

thf(1069,plain,
    ( ( ! [Y: product_unit] : ( Y = product_Unity ) )
    = $true ),
    inference(copy,[status(thm)],[370]) ).

thf(1070,plain,
    ( ( defaul1399868459t_unit = product_Unity )
    = $true ),
    inference(copy,[status(thm)],[369]) ).

thf(1071,plain,
    ( ( swap_name2 = swap_name )
    = $true ),
    inference(copy,[status(thm)],[368]) ).

thf(1072,plain,
    ( ( ! [A: name,X1: name,X2: pi] :
          ( ( fresh_name_pi @ A @ ( res @ X1 @ X2 ) )
          = ( fresh_543891186ion_pi @ A @ ( abs_fun_name_pi @ X1 @ X2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[367]) ).

thf(1073,plain,
    ( ( ! [X: pi,Y: pi] :
          ( ( if_pi @ $false @ X @ Y )
          = Y ) )
    = $true ),
    inference(copy,[status(thm)],[366]) ).

thf(1074,plain,
    ( ( ! [X: pi,Y: pi] :
          ( ( if_pi @ $true @ X @ Y )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[365]) ).

thf(1075,plain,
    ( ( ! [P6: pi] :
          ( ~ ( late_transitions @ ( par @ p @ ( res @ x @ q ) ) @ ( late_BoundR @ ( late_BoundOutputS @ ab ) @ y @ P6 ) )
          | ~ ( strong2129052853vative @ P6 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ ( par @ ( subs @ p2 @ ya @ c ) @ q2 ) ) @ ( late_BoundOutputS @ ab ) @ y @ rel ) ) )
    = $true ),
    inference(copy,[status(thm)],[653]) ).

thf(1076,plain,
    ( ( ! [SX0: pi > late_residual > $o] :
          ( ~ ( ~ ( fresh_name_pi @ ( sK35_SY1011 @ SX0 ) @ ( sK37_SY1016 @ SX0 ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK35_SY1011 @ SX0 ) @ ( sK34_Subject2 @ SX0 ) )
                    | ~ ~ ( SX0 @ ( sK37_SY1016 @ SX0 ) @ ( late_BoundR @ ( sK34_Subject2 @ SX0 ) @ ( sK35_SY1011 @ SX0 ) @ ( sK36_SY1014 @ SX0 ) ) ) ) )
          | ~ ( SX0 @ ( sK33_SY1010 @ SX0 ) @ ( late_FreeR @ ( sK31_FreeRes2 @ SX0 ) @ ( sK32_SY1008 @ SX0 ) ) )
          | ! [SX1: pi,SX2: late_residual] : ( SX0 @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1040]) ).

thf(1077,plain,
    ( ( ! [SX0: pi,SX1: pi,SX2: late_subject,SX3: name,SX4: pi] :
          ( ~ ( late_transitions @ ( par @ SX0 @ SX1 ) @ ( late_BoundR @ SX2 @ SX3 @ SX4 ) )
          | ~ ( ( ( par @ SX0 @ SX1 )
               != ( par @ ( sK108_P5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK112_SY1107 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SX2 @ SX3 @ SX4 )
                     != ( late_BoundR @ ( sK109_SY1098 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK110_SY1102 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( par @ ( sK111_SY1105 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK112_SY1107 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK108_P5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( late_BoundR @ ( sK109_SY1098 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK110_SY1102 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK111_SY1105 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK108_P5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK112_SY1107 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK110_SY1102 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK109_SY1098 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) )
          | ~ ( ( ( par @ SX0 @ SX1 )
               != ( par @ ( sK107_SY1097 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK103_Q3 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SX2 @ SX3 @ SX4 )
                     != ( late_BoundR @ ( sK104_SY1088 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK105_SY1092 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( par @ ( sK107_SY1097 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK106_SY1095 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( late_BoundR @ ( sK104_SY1088 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK105_SY1092 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK106_SY1095 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK107_SY1097 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK103_Q3 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK104_SY1088 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[910]) ).

thf(1078,plain,
    ( ( ! [SX0: pi,SX1: pi,SX2: late_subject,SX3: name,SX4: pi] :
          ( ~ ( late_transitions @ ( par @ SX0 @ SX1 ) @ ( late_BoundR @ SX2 @ SX3 @ SX4 ) )
          | ~ ( fresh_name_pi @ SX3 @ SX0 )
          | ~ ( fresh_name_pi @ SX3 @ SX1 )
          | ! [SX5: pi > $o] :
              ( ~ ( ~ ( late_transitions @ SX0 @ ( late_BoundR @ SX2 @ SX3 @ ( sK95_P4 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
                  | ~ ~ ( SX5 @ ( par @ ( sK95_P4 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX1 ) ) )
              | ~ ( ~ ( late_transitions @ SX1 @ ( late_BoundR @ SX2 @ SX3 @ ( sK94_Q4 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
                  | ~ ~ ( SX5 @ ( par @ SX0 @ ( sK94_Q4 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) )
              | ( SX5 @ SX4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[924]) ).

thf(1079,plain,
    ( ( ! [SX0: produc1141751126_pi_pi > late_residual > $o] :
          ( ~ ( ~ ( fresh_1376661020_pi_pi @ ( sK21_SY993 @ SX0 ) @ ( sK23_SY998 @ SX0 ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK21_SY993 @ SX0 ) @ ( sK20_Subject2 @ SX0 ) )
                    | ~ ~ ( SX0 @ ( sK23_SY998 @ SX0 ) @ ( late_BoundR @ ( sK20_Subject2 @ SX0 ) @ ( sK21_SY993 @ SX0 ) @ ( sK22_SY996 @ SX0 ) ) ) ) )
          | ~ ( SX0 @ ( sK19_SY992 @ SX0 ) @ ( late_FreeR @ ( sK17_FreeRes2 @ SX0 ) @ ( sK18_SY990 @ SX0 ) ) )
          | ! [SX1: produc1141751126_pi_pi,SX2: late_residual] : ( SX0 @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1042]) ).

thf(1080,plain,
    ( ( ! [SX0: name,SX1: pi,SX2: late_subject,SX3: name,SX4: pi] :
          ( ~ ( late_transitions @ ( res @ SX0 @ SX1 ) @ ( late_BoundR @ SX2 @ SX3 @ SX4 ) )
          | ~ ( ( ( res @ SX0 @ SX1 )
               != ( res @ ( sK71_SY1059 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK69_P5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SX2 @ SX3 @ SX4 )
                     != ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) @ ( sK71_SY1059 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK72_SY1061 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK69_P5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK71_SY1059 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) @ ( sK72_SY1061 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
                          | ~ ( ( ( sK70_SY1056 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 )
                               != ( sK71_SY1059 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) ) )
          | ~ ( ( ( res @ SX0 @ SX1 )
               != ( res @ ( sK68_SY1055 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK64_P5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SX2 @ SX3 @ SX4 )
                     != ( late_BoundR @ ( sK65_SY1046 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK66_SY1050 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( res @ ( sK68_SY1055 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK67_SY1053 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( late_BoundR @ ( sK65_SY1046 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK66_SY1050 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK67_SY1053 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK65_SY1046 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
                                | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 )
                                           != ( sK66_SY1050 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK64_P5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK65_SY1046 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1033]) ).

thf(1081,plain,
    ( ( ! [SX0: $o,SX1: list_P227219501e_name] :
          ~ ( ~ ( ~ SX0
                | ! [SX2: late_freeRes,SX3: late_freeRes] :
                    ( ( perm_n336613537reeRes @ SX1 @ ( if_Late_freeRes @ SX0 @ SX2 @ SX3 ) )
                    = ( perm_n336613537reeRes @ SX1 @ SX2 ) ) )
            | ~ ( SX0
                | ! [SX2: late_freeRes,SX3: late_freeRes] :
                    ( ( perm_n336613537reeRes @ SX1 @ ( if_Late_freeRes @ SX0 @ SX2 @ SX3 ) )
                    = ( perm_n336613537reeRes @ SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1051]) ).

thf(1082,plain,
    ( ( ! [SX0: name,SX1: late_freeRes,SX2: pi] :
          ( ( fresh_81631222sidual @ SX0 @ ( late_FreeR @ SX1 @ SX2 ) )
          = ( ~ ( ~ ( fresh_1641682979reeRes @ SX0 @ SX1 )
                | ~ ( fresh_name_pi @ SX0 @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1023]) ).

thf(1083,plain,
    ( ( ! [SX0: $o,SX1: list_P227219501e_name] :
          ~ ( ~ ( ~ SX0
                | ! [SX2: pi,SX3: pi] :
                    ( ( perm_name_pi @ SX1 @ ( if_pi @ SX0 @ SX2 @ SX3 ) )
                    = ( perm_name_pi @ SX1 @ SX2 ) ) )
            | ~ ( SX0
                | ! [SX2: pi,SX3: pi] :
                    ( ( perm_name_pi @ SX1 @ ( if_pi @ SX0 @ SX2 @ SX3 ) )
                    = ( perm_name_pi @ SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[929]) ).

thf(1084,plain,
    ( ( ! [SX0: name,SX1: pi,SX2: late_residual] :
          ( ~ ( late_transitions @ ( res @ SX0 @ SX1 ) @ SX2 )
          | ~ ( ( ( res @ SX0 @ SX1 )
               != ( res @ ( sK84_SY1081 @ SX2 @ SX1 @ SX0 ) @ ( sK82_P5 @ SX2 @ SX1 @ SX0 ) ) )
              | ~ ~ ( ( SX2
                     != ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SX2 @ SX1 @ SX0 ) ) @ ( sK84_SY1081 @ SX2 @ SX1 @ SX0 ) @ ( sK85_SY1083 @ SX2 @ SX1 @ SX0 ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK82_P5 @ SX2 @ SX1 @ SX0 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SX2 @ SX1 @ SX0 ) @ ( sK84_SY1081 @ SX2 @ SX1 @ SX0 ) ) @ ( sK85_SY1083 @ SX2 @ SX1 @ SX0 ) ) )
                          | ~ ( ( ( sK83_SY1078 @ SX2 @ SX1 @ SX0 )
                               != ( sK84_SY1081 @ SX2 @ SX1 @ SX0 ) ) ) ) ) )
          | ~ ( ( ( res @ SX0 @ SX1 )
               != ( res @ ( sK81_SY1077 @ SX2 @ SX1 @ SX0 ) @ ( sK77_P5 @ SX2 @ SX1 @ SX0 ) ) )
              | ~ ~ ( ( SX2
                     != ( late_BoundR @ ( sK78_SY1068 @ SX2 @ SX1 @ SX0 ) @ ( sK79_SY1072 @ SX2 @ SX1 @ SX0 ) @ ( res @ ( sK81_SY1077 @ SX2 @ SX1 @ SX0 ) @ ( sK80_SY1075 @ SX2 @ SX1 @ SX0 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SX2 @ SX1 @ SX0 ) @ ( late_BoundR @ ( sK78_SY1068 @ SX2 @ SX1 @ SX0 ) @ ( sK79_SY1072 @ SX2 @ SX1 @ SX0 ) @ ( sK80_SY1075 @ SX2 @ SX1 @ SX0 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SX2 @ SX1 @ SX0 ) @ ( sK78_SY1068 @ SX2 @ SX1 @ SX0 ) )
                                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SX2 @ SX1 @ SX0 )
                                           != ( sK79_SY1072 @ SX2 @ SX1 @ SX0 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SX2 @ SX1 @ SX0 ) @ ( sK77_P5 @ SX2 @ SX1 @ SX0 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SX2 @ SX1 @ SX0 ) @ ( sK78_SY1068 @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) ) )
          | ~ ( ( ( res @ SX0 @ SX1 )
               != ( res @ ( sK76_SY1067 @ SX2 @ SX1 @ SX0 ) @ ( sK73_P5 @ SX2 @ SX1 @ SX0 ) ) )
              | ~ ~ ( ( SX2
                     != ( late_FreeR @ ( sK74_SY1062 @ SX2 @ SX1 @ SX0 ) @ ( res @ ( sK76_SY1067 @ SX2 @ SX1 @ SX0 ) @ ( sK75_SY1065 @ SX2 @ SX1 @ SX0 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SX2 @ SX1 @ SX0 ) @ ( late_FreeR @ ( sK74_SY1062 @ SX2 @ SX1 @ SX0 ) @ ( sK75_SY1065 @ SX2 @ SX1 @ SX0 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SX2 @ SX1 @ SX0 ) @ ( sK74_SY1062 @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1031]) ).

thf(1085,plain,
    ( ( ! [SX0: list_P227219501e_name,SX1: $o] :
          ~ ( ~ ( ~ ( perm_name_o @ SX0 @ SX1 )
                | ! [SX2: late_freeRes,SX3: late_freeRes] :
                    ( ( perm_n336613537reeRes @ SX0 @ ( if_Late_freeRes @ SX1 @ SX2 @ SX3 ) )
                    = ( perm_n336613537reeRes @ SX0 @ SX2 ) ) )
            | ~ ( ( perm_name_o @ SX0 @ SX1 )
                | ! [SX2: late_freeRes,SX3: late_freeRes] :
                    ( ( perm_n336613537reeRes @ SX0 @ ( if_Late_freeRes @ SX1 @ SX2 @ SX3 ) )
                    = ( perm_n336613537reeRes @ SX0 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1060]) ).

thf(1086,plain,
    ( ( ! [SX0: name,SX1: name,SX2: name] :
          ( ( fresh_1641682979reeRes @ SX0 @ ( late_OutputR @ SX1 @ SX2 ) )
          = ( ~ ( ~ ( fresh_name_name @ SX0 @ SX1 )
                | ~ ( fresh_name_name @ SX0 @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1019]) ).

thf(1087,plain,
    ( ( ! [SX0: list_P227219501e_name,SX1: $o] :
          ~ ( ~ ( ~ ( perm_name_o @ SX0 @ SX1 )
                | ! [SX2: pi_Rep,SX3: pi_Rep] :
                    ( ( perm_name_pi_Rep @ SX0 @ ( if_pi_Rep @ SX1 @ SX2 @ SX3 ) )
                    = ( perm_name_pi_Rep @ SX0 @ SX2 ) ) )
            | ~ ( ( perm_name_o @ SX0 @ SX1 )
                | ! [SX2: pi_Rep,SX3: pi_Rep] :
                    ( ( perm_name_pi_Rep @ SX0 @ ( if_pi_Rep @ SX1 @ SX2 @ SX3 ) )
                    = ( perm_name_pi_Rep @ SX0 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1061]) ).

thf(1088,plain,
    ( ( ! [SX0: produc367475239e_name,SX1: list_P227219501e_name,SX2: produc367475239e_name,SX3: list_P227219501e_name] :
          ( ( ( cons_P1213805021e_name @ SX0 @ SX1 )
            = ( cons_P1213805021e_name @ SX2 @ SX3 ) )
          = ( ~ ( ( SX0 != SX2 )
                | ( SX1 != SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[939]) ).

thf(1089,plain,
    ( ( ! [SX0: produc1141751126_pi_pi > late_residual > $o] :
          ( ~ ( ~ ( fresh_1376661020_pi_pi @ ( sK49_SY1029 @ SX0 ) @ ( sK51_SY1034 @ SX0 ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK49_SY1029 @ SX0 ) @ ( sK48_Subject2 @ SX0 ) )
                    | ~ ~ ( SX0 @ ( sK51_SY1034 @ SX0 ) @ ( late_BoundR @ ( sK48_Subject2 @ SX0 ) @ ( sK49_SY1029 @ SX0 ) @ ( sK50_SY1032 @ SX0 ) ) ) ) )
          | ~ ( SX0 @ ( sK47_SY1028 @ SX0 ) @ ( late_FreeR @ ( sK45_FreeRes2 @ SX0 ) @ ( sK46_SY1026 @ SX0 ) ) )
          | ! [SX1: produc1141751126_pi_pi,SX2: late_residual] : ( SX0 @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1038]) ).

thf(1090,plain,
    ( ( ! [SX0: name,SX1: pi,SX2: pi] :
          ( ( fresh_name_pi @ SX0 @ ( par @ SX1 @ SX2 ) )
          = ( ~ ( ~ ( fresh_name_pi @ SX0 @ SX1 )
                | ~ ( fresh_name_pi @ SX0 @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[837]) ).

thf(1091,plain,
    ( ( ! [SX0: name,SX1: name,SX2: name,SX3: name] :
          ( ( ( late_OutputR @ SX0 @ SX1 )
            = ( late_OutputR @ SX2 @ SX3 ) )
          = ( ~ ( ( SX0 != SX2 )
                | ( SX1 != SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1020]) ).

thf(1092,plain,
    ( ( ! [SX0: product_unit > late_residual > $o] :
          ( ~ ( ~ ( fresh_1143631827t_unit @ ( sK56_SY1038 @ SX0 ) @ ( sK58_SY1043 @ SX0 ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK56_SY1038 @ SX0 ) @ ( sK55_Subject2 @ SX0 ) )
                    | ~ ~ ( SX0 @ ( sK58_SY1043 @ SX0 ) @ ( late_BoundR @ ( sK55_Subject2 @ SX0 ) @ ( sK56_SY1038 @ SX0 ) @ ( sK57_SY1041 @ SX0 ) ) ) ) )
          | ~ ( SX0 @ ( sK54_SY1037 @ SX0 ) @ ( late_FreeR @ ( sK52_FreeRes2 @ SX0 ) @ ( sK53_SY1035 @ SX0 ) ) )
          | ! [SX1: product_unit,SX2: late_residual] : ( SX0 @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1037]) ).

thf(1093,plain,
    ( ( ! [SX0: name > late_residual > $o] :
          ( ~ ( ~ ( fresh_name_name @ ( sK14_SY984 @ SX0 ) @ ( sK16_SY989 @ SX0 ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK14_SY984 @ SX0 ) @ ( sK13_Subject2 @ SX0 ) )
                    | ~ ~ ( SX0 @ ( sK16_SY989 @ SX0 ) @ ( late_BoundR @ ( sK13_Subject2 @ SX0 ) @ ( sK14_SY984 @ SX0 ) @ ( sK15_SY987 @ SX0 ) ) ) ) )
          | ~ ( SX0 @ ( sK12_SY983 @ SX0 ) @ ( late_FreeR @ ( sK10_FreeRes2 @ SX0 ) @ ( sK11_SY981 @ SX0 ) ) )
          | ! [SX1: name,SX2: late_residual] : ( SX0 @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1043]) ).

thf(1094,plain,
    ( ( ! [SX0: name,SX1: pi,SX2: list_pi] :
          ( ( fresh_name_list_pi @ SX0 @ ( cons_pi @ SX1 @ SX2 ) )
          = ( ~ ( ~ ( fresh_name_list_pi @ SX0 @ SX2 )
                | ~ ( fresh_name_pi @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1046]) ).

thf(1095,plain,
    ( ( ! [SX0: $o,SX1: list_P227219501e_name] :
          ~ ( ~ ( ~ SX0
                | ! [SX2: name,SX3: name] :
                    ( ( perm_name_name @ SX1 @ ( if_name @ SX0 @ SX2 @ SX3 ) )
                    = ( perm_name_name @ SX1 @ SX2 ) ) )
            | ~ ( SX0
                | ! [SX2: name,SX3: name] :
                    ( ( perm_name_name @ SX1 @ ( if_name @ SX0 @ SX2 @ SX3 ) )
                    = ( perm_name_name @ SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1053]) ).

thf(1096,plain,
    ( ( ! [SX0: list_P227219501e_name,SX1: $o] :
          ~ ( ~ ( ~ ( perm_name_o @ SX0 @ SX1 )
                | ! [SX2: late_subject,SX3: late_subject] :
                    ( ( perm_n1559866809ubject @ SX0 @ ( if_Late_subject @ SX1 @ SX2 @ SX3 ) )
                    = ( perm_n1559866809ubject @ SX0 @ SX2 ) ) )
            | ~ ( ( perm_name_o @ SX0 @ SX1 )
                | ! [SX2: late_subject,SX3: late_subject] :
                    ( ( perm_n1559866809ubject @ SX0 @ ( if_Late_subject @ SX1 @ SX2 @ SX3 ) )
                    = ( perm_n1559866809ubject @ SX0 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1059]) ).

thf(1097,plain,
    ( ( ! [SX0: list_P227219501e_name,SX1: $o] :
          ~ ( ~ ( ~ ( perm_name_o @ SX0 @ SX1 )
                | ! [SX2: pi,SX3: pi] :
                    ( ( perm_name_pi @ SX0 @ ( if_pi @ SX1 @ SX2 @ SX3 ) )
                    = ( perm_name_pi @ SX0 @ SX2 ) ) )
            | ~ ( ( perm_name_o @ SX0 @ SX1 )
                | ! [SX2: pi,SX3: pi] :
                    ( ( perm_name_pi @ SX0 @ ( if_pi @ SX1 @ SX2 @ SX3 ) )
                    = ( perm_name_pi @ SX0 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[933]) ).

thf(1098,plain,
    ( ( ! [SX0: name,SX1: name,SX2: pi,SX3: late_subject,SX4: name] :
          ~ ( ~ ! [SX5: pi] :
                  ( ~ ( late_transitions @ ( input @ SX0 @ SX1 @ SX2 ) @ ( late_BoundR @ SX3 @ SX4 @ SX5 ) )
                  | ( SX4 = SX0 )
                  | ( SX4 = SX1 )
                  | ~ ( fresh_name_pi @ SX4 @ SX2 )
                  | ( SX3
                    = ( late_InputS @ SX0 ) )
                  | ! [SX6: late_subject > name > pi > $o] : ( SX6 @ SX3 @ SX4 @ SX5 ) )
            | ~ ~ ( ~ ! [SX5: pi] :
                        ( ~ ( late_transitions @ ( input @ SX0 @ SX1 @ SX2 ) @ ( late_BoundR @ SX3 @ SX4 @ SX5 ) )
                        | ( SX4 = SX0 )
                        | ( SX4 = SX1 )
                        | ~ ( fresh_name_pi @ SX4 @ SX2 )
                        | ( SX5
                          = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SX1 @ SX4 ) @ nil_Pr743626285e_name ) @ SX2 ) )
                        | ! [SX6: late_subject > name > pi > $o] : ( SX6 @ SX3 @ SX4 @ SX5 ) )
                  | ~ ! [SX5: pi] :
                        ( ~ ( late_transitions @ ( input @ SX0 @ SX1 @ SX2 ) @ ( late_BoundR @ SX3 @ SX4 @ SX5 ) )
                        | ( SX4 = SX0 )
                        | ( SX4 = SX1 )
                        | ~ ( fresh_name_pi @ SX4 @ SX2 )
                        | ! [SX6: late_subject > name > pi > $o] :
                            ( ~ ( SX6 @ ( late_InputS @ SX0 ) @ SX4 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SX1 @ SX4 ) @ nil_Pr743626285e_name ) @ SX2 ) )
                            | ( SX6 @ SX3 @ SX4 @ SX5 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1067]) ).

thf(1099,plain,
    ( ( ! [SX0: name,SX1: name,SX2: name] :
          ( ( fresh_441084397e_name @ SX0 @ ( produc1570949143e_name @ SX1 @ SX2 ) )
          = ( ~ ( ~ ( fresh_name_name @ SX0 @ SX1 )
                | ~ ( fresh_name_name @ SX0 @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[927]) ).

thf(1100,plain,
    ( ( ! [SX0: name,SX1: pi,SX2: late_freeRes,SX3: pi] :
          ( ~ ( late_transitions @ ( res @ SX0 @ SX1 ) @ ( late_FreeR @ SX2 @ SX3 ) )
          | ! [SX4: pi > $o] :
              ( ~ ( ~ ( late_transitions @ SX1 @ ( late_FreeR @ SX2 @ ( sK117_P4 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
                  | ~ ~ ( ~ ( fresh_1641682979reeRes @ SX0 @ SX2 )
                        | ~ ~ ( SX4 @ ( res @ SX0 @ ( sK117_P4 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
              | ( SX4 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[904]) ).

thf(1101,plain,
    ( ( ! [SX0: name,SX1: pi,SX2: late_subject,SX3: name,SX4: pi] :
          ( ~ ( late_transitions @ ( res @ SX0 @ SX1 ) @ ( late_BoundR @ SX2 @ SX3 @ SX4 ) )
          | ( SX3 = SX0 )
          | ~ ( fresh_name_pi @ SX3 @ SX1 )
          | ! [SX5: late_subject > pi > $o] :
              ( ~ ( ~ ( late_transitions @ SX1 @ ( late_FreeR @ ( late_OutputR @ ( sK60_B2 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 ) @ ( sK61_SY1044 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
                  | ~ ~ ( ~ ( ( ( sK60_B2 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 )
                             != SX0 ) )
                        | ~ ~ ( ( SX2
                               != ( late_BoundOutputS @ ( sK60_B2 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
                              | ~ ~ ( SX5 @ ( late_BoundOutputS @ ( sK60_B2 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SX3 @ SX0 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) ) )
              | ~ ( ~ ( late_transitions @ SX1 @ ( late_BoundR @ SX2 @ SX3 @ ( sK59_P4 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
                  | ~ ~ ( ~ ( fresh_717452603ubject @ SX0 @ SX2 )
                        | ~ ~ ( SX5 @ SX2 @ ( res @ SX0 @ ( sK59_P4 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
              | ( SX5 @ SX2 @ SX4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1036]) ).

thf(1102,plain,
    ( ( ! [SX0: $o,SX1: list_P227219501e_name] :
          ~ ( ~ ( ~ SX0
                | ! [SX2: late_subject,SX3: late_subject] :
                    ( ( perm_n1559866809ubject @ SX1 @ ( if_Late_subject @ SX0 @ SX2 @ SX3 ) )
                    = ( perm_n1559866809ubject @ SX1 @ SX2 ) ) )
            | ~ ( SX0
                | ! [SX2: late_subject,SX3: late_subject] :
                    ( ( perm_n1559866809ubject @ SX1 @ ( if_Late_subject @ SX0 @ SX2 @ SX3 ) )
                    = ( perm_n1559866809ubject @ SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1050]) ).

thf(1103,plain,
    ( ( ! [SX0: pi,SX1: pi,SX2: pi,SX3: pi] :
          ( ( ( par @ SX0 @ SX1 )
            = ( par @ SX2 @ SX3 ) )
          = ( ~ ( ( SX0 != SX2 )
                | ( SX1 != SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[884]) ).

thf(1104,plain,
    ( ( ! [SX0: pi,SX1: set_Pr1834926343_pi_pi,SX2: pi,SX3: late_subject] :
          ( ~ ( strong743114133lation @ SX0 @ SX1 @ SX2 )
          | ! [SX4: name,SX5: pi] :
              ( ~ ( late_transitions @ SX2 @ ( late_BoundR @ SX3 @ SX4 @ SX5 ) )
              | ~ ( fresh_name_pi @ SX4 @ SX0 )
              | ~ ( ~ ( late_transitions @ SX0 @ ( late_BoundR @ SX3 @ SX4 @ ( sK92_P4 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
                  | ~ ( strong2129052853vative @ ( sK92_P4 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX5 @ SX3 @ SX4 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[935]) ).

thf(1105,plain,
    ( ( ! [SX0: late_freeRes,SX1: pi,SX2: late_freeRes,SX3: pi] :
          ( ( ( late_FreeR @ SX0 @ SX1 )
            = ( late_FreeR @ SX2 @ SX3 ) )
          = ( ~ ( ( SX0 != SX2 )
                | ( SX1 != SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1032]) ).

thf(1106,plain,
    ( ( ! [SX0: name,SX1: pi,SX2: late_freeRes,SX3: pi] :
          ( ~ ( late_transitions @ ( res @ SX0 @ SX1 ) @ ( late_FreeR @ SX2 @ SX3 ) )
          | ~ ( ( ( res @ SX0 @ SX1 )
               != ( res @ ( sK116_SY1113 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK113_P5 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
              | ~ ~ ( ( ( late_FreeR @ SX2 @ SX3 )
                     != ( late_FreeR @ ( sK114_SY1108 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( res @ ( sK116_SY1113 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK115_SY1111 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK113_P5 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( late_FreeR @ ( sK114_SY1108 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK115_SY1111 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK116_SY1113 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK114_SY1108 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[905]) ).

thf(1107,plain,
    ( ( ! [SX0: product_unit > late_residual > $o] :
          ( ~ ( ~ ( fresh_1143631827t_unit @ ( sK28_SY1002 @ SX0 ) @ ( sK30_SY1007 @ SX0 ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK28_SY1002 @ SX0 ) @ ( sK27_Subject2 @ SX0 ) )
                    | ~ ~ ( SX0 @ ( sK30_SY1007 @ SX0 ) @ ( late_BoundR @ ( sK27_Subject2 @ SX0 ) @ ( sK28_SY1002 @ SX0 ) @ ( sK29_SY1005 @ SX0 ) ) ) ) )
          | ~ ( SX0 @ ( sK26_SY1001 @ SX0 ) @ ( late_FreeR @ ( sK24_FreeRes2 @ SX0 ) @ ( sK25_SY999 @ SX0 ) ) )
          | ! [SX1: product_unit,SX2: late_residual] : ( SX0 @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1041]) ).

thf(1108,plain,
    ( ( ! [SX0: pi > late_residual > $o] :
          ( ~ ( ~ ( fresh_name_pi @ ( sK7_SY975 @ SX0 ) @ ( sK9_SY980 @ SX0 ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK7_SY975 @ SX0 ) @ ( sK6_Subject2 @ SX0 ) )
                    | ~ ~ ( SX0 @ ( sK9_SY980 @ SX0 ) @ ( late_BoundR @ ( sK6_Subject2 @ SX0 ) @ ( sK7_SY975 @ SX0 ) @ ( sK8_SY978 @ SX0 ) ) ) ) )
          | ~ ( SX0 @ ( sK5_SY974 @ SX0 ) @ ( late_FreeR @ ( sK3_FreeRes2 @ SX0 ) @ ( sK4_SY972 @ SX0 ) ) )
          | ! [SX1: pi,SX2: late_residual] : ( SX0 @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1044]) ).

thf(1109,plain,
    ( ( ! [SX0: name] :
          ~ ( ~ ! [SX1: name] :
                  ( ( SX0 != SX1 )
                  | ! [SX2: name] :
                      ( ( swap_name2 @ ( produc1570949143e_name @ SX0 @ SX2 ) @ SX1 )
                      = SX2 ) )
            | ~ ~ ( ~ ! [SX1: name] :
                        ( ( SX0 = SX1 )
                        | ! [SX2: name] :
                            ( ( SX2 != SX1 )
                            | ( ( swap_name2 @ ( produc1570949143e_name @ SX0 @ SX2 ) @ SX1 )
                              = SX0 ) ) )
                  | ~ ! [SX1: name] :
                        ( ( SX0 = SX1 )
                        | ! [SX2: name] :
                            ( ( SX2 = SX1 )
                            | ( ( swap_name2 @ ( produc1570949143e_name @ SX0 @ SX2 ) @ SX1 )
                              = SX1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[953]) ).

thf(1110,plain,
    ( ( ! [SX0: list_P227219501e_name,SX1: $o] :
          ~ ( ~ ( ~ ( perm_name_o @ SX0 @ SX1 )
                | ! [SX2: name,SX3: name] :
                    ( ( perm_name_name @ SX0 @ ( if_name @ SX1 @ SX2 @ SX3 ) )
                    = ( perm_name_name @ SX0 @ SX2 ) ) )
            | ~ ( ( perm_name_o @ SX0 @ SX1 )
                | ! [SX2: name,SX3: name] :
                    ( ( perm_name_name @ SX0 @ ( if_name @ SX1 @ SX2 @ SX3 ) )
                    = ( perm_name_name @ SX0 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1062]) ).

thf(1111,plain,
    ( ( ! [SX0: $o,SX1: list_P227219501e_name] :
          ~ ( ~ ( ~ SX0
                | ! [SX2: pi_Rep,SX3: pi_Rep] :
                    ( ( perm_name_pi_Rep @ SX1 @ ( if_pi_Rep @ SX0 @ SX2 @ SX3 ) )
                    = ( perm_name_pi_Rep @ SX1 @ SX2 ) ) )
            | ~ ( SX0
                | ! [SX2: pi_Rep,SX3: pi_Rep] :
                    ( ( perm_name_pi_Rep @ SX1 @ ( if_pi_Rep @ SX0 @ SX2 @ SX3 ) )
                    = ( perm_name_pi_Rep @ SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1052]) ).

thf(1112,plain,
    ( ( ! [SX0: name,SX1: name,SX2: name,SX3: name] :
          ( ( ( late_OutputR @ SX0 @ SX1 )
            = ( late_OutputR @ SX2 @ SX3 ) )
          = ( ~ ( ( SX0 != SX2 )
                | ( SX1 != SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1064]) ).

thf(1113,plain,
    ( ( ! [SX0: name > late_residual > $o] :
          ( ~ ( ~ ( fresh_name_name @ ( sK42_SY1020 @ SX0 ) @ ( sK44_SY1025 @ SX0 ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK42_SY1020 @ SX0 ) @ ( sK41_Subject2 @ SX0 ) )
                    | ~ ~ ( SX0 @ ( sK44_SY1025 @ SX0 ) @ ( late_BoundR @ ( sK41_Subject2 @ SX0 ) @ ( sK42_SY1020 @ SX0 ) @ ( sK43_SY1023 @ SX0 ) ) ) ) )
          | ~ ( SX0 @ ( sK40_SY1019 @ SX0 ) @ ( late_FreeR @ ( sK38_FreeRes2 @ SX0 ) @ ( sK39_SY1017 @ SX0 ) ) )
          | ! [SX1: name,SX2: late_residual] : ( SX0 @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1039]) ).

thf(1114,plain,
    ( ( ya = b )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[788]) ).

thf(1115,plain,
    ( ( ab = x )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[790]) ).

thf(1116,plain,
    ( ( ya = c )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[791]) ).

thf(1117,plain,
    ( ( y = x )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[794]) ).

thf(1118,plain,
    ! [SV1: name] :
      ( ( ! [SY1114: pi,SY1115: name] :
            ( ( subs @ ( res @ SV1 @ SY1114 ) @ SY1115 @ SV1 )
            = ( res @ SY1115 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1115 @ SV1 ) @ nil_Pr743626285e_name ) @ SY1114 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[802]) ).

thf(1119,plain,
    ! [SV2: name] :
      ( ( ! [SY1116: name,SY1117: late_subject] :
            ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV2 @ SY1116 ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV2 @ SY1116 ) @ nil_Pr743626285e_name ) @ SY1117 ) )
            = SY1117 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[804]) ).

thf(1120,plain,
    ! [SV3: name] :
      ( ( ! [SY1118: name,SY1119: late_freeRes] :
            ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV3 @ SY1118 ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV3 @ SY1118 ) @ nil_Pr743626285e_name ) @ SY1119 ) )
            = SY1119 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[805]) ).

thf(1121,plain,
    ! [SV4: name] :
      ( ( ! [SY1120: name,SY1121: pi_Rep] :
            ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV4 @ SY1120 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV4 @ SY1120 ) @ nil_Pr743626285e_name ) @ SY1121 ) )
            = SY1121 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[806]) ).

thf(1122,plain,
    ! [SV5: name] :
      ( ( ! [SY1122: name,SY1123: name] :
            ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV5 @ SY1122 ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV5 @ SY1122 ) @ nil_Pr743626285e_name ) @ SY1123 ) )
            = SY1123 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[807]) ).

thf(1123,plain,
    ! [SV6: name] :
      ( ( ! [SY1124: name,SY1125: pi] :
            ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV6 @ SY1124 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV6 @ SY1124 ) @ nil_Pr743626285e_name ) @ SY1125 ) )
            = SY1125 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[808]) ).

thf(1124,plain,
    ! [SV7: name] :
      ( ( ! [SY1126: late_subject] :
            ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV7 @ SV7 ) @ nil_Pr743626285e_name ) @ SY1126 )
            = SY1126 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[809]) ).

thf(1125,plain,
    ! [SV8: name] :
      ( ( ! [SY1127: late_freeRes] :
            ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV8 @ SV8 ) @ nil_Pr743626285e_name ) @ SY1127 )
            = SY1127 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[810]) ).

thf(1126,plain,
    ! [SV9: name] :
      ( ( ! [SY1128: pi_Rep] :
            ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV9 @ SV9 ) @ nil_Pr743626285e_name ) @ SY1128 )
            = SY1128 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[811]) ).

thf(1127,plain,
    ! [SV10: name] :
      ( ( ! [SY1129: name] :
            ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV10 @ SV10 ) @ nil_Pr743626285e_name ) @ SY1129 )
            = SY1129 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[812]) ).

thf(1128,plain,
    ! [SV11: name] :
      ( ( ! [SY1130: pi] :
            ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV11 @ SV11 ) @ nil_Pr743626285e_name ) @ SY1130 )
            = SY1130 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[813]) ).

thf(1129,plain,
    ! [SV12: name] :
      ( ( ! [SY1131: name,SY1132: late_subject] :
            ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV12 @ SY1131 ) @ nil_Pr743626285e_name ) @ SY1132 )
            = ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1131 @ SV12 ) @ nil_Pr743626285e_name ) @ SY1132 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[814]) ).

thf(1130,plain,
    ! [SV13: name] :
      ( ( ! [SY1133: name,SY1134: late_freeRes] :
            ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV13 @ SY1133 ) @ nil_Pr743626285e_name ) @ SY1134 )
            = ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1133 @ SV13 ) @ nil_Pr743626285e_name ) @ SY1134 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[815]) ).

thf(1131,plain,
    ! [SV14: name] :
      ( ( ! [SY1135: name,SY1136: pi_Rep] :
            ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV14 @ SY1135 ) @ nil_Pr743626285e_name ) @ SY1136 )
            = ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1135 @ SV14 ) @ nil_Pr743626285e_name ) @ SY1136 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[816]) ).

thf(1132,plain,
    ! [SV15: name] :
      ( ( ! [SY1137: name,SY1138: name] :
            ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV15 @ SY1137 ) @ nil_Pr743626285e_name ) @ SY1138 )
            = ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1137 @ SV15 ) @ nil_Pr743626285e_name ) @ SY1138 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[817]) ).

thf(1133,plain,
    ! [SV16: name] :
      ( ( ! [SY1139: name,SY1140: pi] :
            ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV16 @ SY1139 ) @ nil_Pr743626285e_name ) @ SY1140 )
            = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1139 @ SV16 ) @ nil_Pr743626285e_name ) @ SY1140 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[818]) ).

thf(1134,plain,
    ! [SV17: name] :
      ( ( ! [SY1141: name,SY1142: late_subject] :
            ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV17 @ SY1141 ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV17 @ SY1141 ) @ nil_Pr743626285e_name ) @ SY1142 ) )
            = SY1142 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[819]) ).

thf(1135,plain,
    ! [SV18: name] :
      ( ( ! [SY1143: name,SY1144: late_freeRes] :
            ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV18 @ SY1143 ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV18 @ SY1143 ) @ nil_Pr743626285e_name ) @ SY1144 ) )
            = SY1144 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[820]) ).

thf(1136,plain,
    ! [SV19: name] :
      ( ( ! [SY1145: name,SY1146: pi_Rep] :
            ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV19 @ SY1145 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV19 @ SY1145 ) @ nil_Pr743626285e_name ) @ SY1146 ) )
            = SY1146 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[821]) ).

thf(1137,plain,
    ! [SV20: name] :
      ( ( ! [SY1147: name,SY1148: name] :
            ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV20 @ SY1147 ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV20 @ SY1147 ) @ nil_Pr743626285e_name ) @ SY1148 ) )
            = SY1148 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[822]) ).

thf(1138,plain,
    ! [SV21: name] :
      ( ( ! [SY1149: name,SY1150: pi] :
            ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV21 @ SY1149 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV21 @ SY1149 ) @ nil_Pr743626285e_name ) @ SY1150 ) )
            = SY1150 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[823]) ).

thf(1139,plain,
    ! [SV22: list_P227219501e_name] :
      ( ( ! [SY1151: pi,SY1152: pi] :
            ( ( perm_name_pi @ SV22 @ ( par @ SY1151 @ SY1152 ) )
            = ( par @ ( perm_name_pi @ SV22 @ SY1151 ) @ ( perm_name_pi @ SV22 @ SY1152 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[824]) ).

thf(1140,plain,
    ! [SV23: pi] :
      ( ( ! [SY1153: pi,SY1154: name,SY1155: name] :
            ( ( subs @ ( par @ SV23 @ SY1153 ) @ SY1154 @ SY1155 )
            = ( par @ ( subs @ SV23 @ SY1154 @ SY1155 ) @ ( subs @ SY1153 @ SY1154 @ SY1155 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[825]) ).

thf(1141,plain,
    ! [SV24: name] :
      ( ( ! [SY1156: name] :
            ( ( SV24 = SY1156 )
            | ! [SY1157: name] :
                ( ( SV24 = SY1157 )
                | ! [SY1158: pi] :
                    ( ( subs @ ( res @ SV24 @ SY1158 ) @ SY1156 @ SY1157 )
                    = ( res @ SV24 @ ( subs @ SY1158 @ SY1156 @ SY1157 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[826]) ).

thf(1142,plain,
    ! [SV25: late_subject] :
      ( ( ( perm_n1559866809ubject @ nil_Pr743626285e_name @ SV25 )
        = SV25 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[827]) ).

thf(1143,plain,
    ! [SV26: late_freeRes] :
      ( ( ( perm_n336613537reeRes @ nil_Pr743626285e_name @ SV26 )
        = SV26 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[828]) ).

thf(1144,plain,
    ! [SV27: pi_Rep] :
      ( ( ( perm_name_pi_Rep @ nil_Pr743626285e_name @ SV27 )
        = SV27 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[829]) ).

thf(1145,plain,
    ! [SV28: name] :
      ( ( ( perm_name_name @ nil_Pr743626285e_name @ SV28 )
        = SV28 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[830]) ).

thf(1146,plain,
    ! [SV29: pi] :
      ( ( ( perm_name_pi @ nil_Pr743626285e_name @ SV29 )
        = SV29 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[831]) ).

thf(1147,plain,
    ! [SV30: pi] :
      ( ( ! [SY1159: name] :
            ( ( subs @ SV30 @ SY1159 @ SY1159 )
            = SV30 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[833]) ).

thf(1148,plain,
    ! [SV31: pi_Rep] :
      ( ( ( perm_name_pi_Rep @ nil_Pr743626285e_name @ SV31 )
        = SV31 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[834]) ).

thf(1149,plain,
    ! [SV32: list_P227219501e_name] :
      ( ( ! [SY1160: name,SY1161: pi] :
            ( ( perm_name_pi @ SV32 @ ( res @ SY1160 @ SY1161 ) )
            = ( res @ ( perm_name_name @ SV32 @ SY1160 ) @ ( perm_name_pi @ SV32 @ SY1161 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[838]) ).

thf(1150,plain,
    ! [SV33: name] :
      ( ( ! [SY1162: late_subject] :
            ( ~ ( fresh_717452603ubject @ SV33 @ SY1162 )
            | ! [SY1163: name] :
                ( ~ ( fresh_717452603ubject @ SY1163 @ SY1162 )
                | ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV33 @ SY1163 ) @ nil_Pr743626285e_name ) @ SY1162 )
                  = SY1162 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[839]) ).

thf(1151,plain,
    ! [SV34: name] :
      ( ( ! [SY1164: late_freeRes] :
            ( ~ ( fresh_1641682979reeRes @ SV34 @ SY1164 )
            | ! [SY1165: name] :
                ( ~ ( fresh_1641682979reeRes @ SY1165 @ SY1164 )
                | ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV34 @ SY1165 ) @ nil_Pr743626285e_name ) @ SY1164 )
                  = SY1164 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[840]) ).

thf(1152,plain,
    ! [SV35: name] :
      ( ( ! [SY1166: pi_Rep] :
            ( ~ ( fresh_name_pi_Rep @ SV35 @ SY1166 )
            | ! [SY1167: name] :
                ( ~ ( fresh_name_pi_Rep @ SY1167 @ SY1166 )
                | ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV35 @ SY1167 ) @ nil_Pr743626285e_name ) @ SY1166 )
                  = SY1166 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[841]) ).

thf(1153,plain,
    ! [SV36: name] :
      ( ( ! [SY1168: product_unit] :
            ( ~ ( fresh_1143631827t_unit @ SV36 @ SY1168 )
            | ! [SY1169: name] :
                ( ~ ( fresh_1143631827t_unit @ SY1169 @ SY1168 )
                | ( ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV36 @ SY1169 ) @ nil_Pr743626285e_name ) @ SY1168 )
                  = SY1168 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[842]) ).

thf(1154,plain,
    ! [SV37: name] :
      ( ( ! [SY1170: produc1141751126_pi_pi] :
            ( ~ ( fresh_1376661020_pi_pi @ SV37 @ SY1170 )
            | ! [SY1171: name] :
                ( ~ ( fresh_1376661020_pi_pi @ SY1171 @ SY1170 )
                | ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV37 @ SY1171 ) @ nil_Pr743626285e_name ) @ SY1170 )
                  = SY1170 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[843]) ).

thf(1155,plain,
    ! [SV38: name] :
      ( ( ! [SY1172: name] :
            ( ~ ( fresh_name_name @ SV38 @ SY1172 )
            | ! [SY1173: name] :
                ( ~ ( fresh_name_name @ SY1173 @ SY1172 )
                | ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV38 @ SY1173 ) @ nil_Pr743626285e_name ) @ SY1172 )
                  = SY1172 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[844]) ).

thf(1156,plain,
    ! [SV39: name] :
      ( ( ! [SY1174: pi] :
            ( ~ ( fresh_name_pi @ SV39 @ SY1174 )
            | ! [SY1175: name] :
                ( ~ ( fresh_name_pi @ SY1175 @ SY1174 )
                | ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV39 @ SY1175 ) @ nil_Pr743626285e_name ) @ SY1174 )
                  = SY1174 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[845]) ).

thf(1157,plain,
    ! [SV40: name] :
      ( ( ! [SY1176: name > noption_pi] :
            ( ~ ( fresh_543891186ion_pi @ SV40 @ SY1176 )
            | ! [SY1177: name] :
                ( ~ ( fresh_543891186ion_pi @ SY1177 @ SY1176 )
                | ( ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV40 @ SY1177 ) @ nil_Pr743626285e_name ) @ SY1176 )
                  = SY1176 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[846]) ).

thf(1158,plain,
    ! [SV41: name] :
      ( ( ! [SY1178: late_subject] :
            ( ~ ( fresh_717452603ubject @ SV41 @ SY1178 )
            | ! [SY1179: name] :
                ( ~ ( fresh_717452603ubject @ SY1179 @ SY1178 )
                | ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV41 @ SY1179 ) @ nil_Pr743626285e_name ) @ SY1178 )
                  = SY1178 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[847]) ).

thf(1159,plain,
    ! [SV42: name] :
      ( ( ! [SY1180: late_freeRes] :
            ( ~ ( fresh_1641682979reeRes @ SV42 @ SY1180 )
            | ! [SY1181: name] :
                ( ~ ( fresh_1641682979reeRes @ SY1181 @ SY1180 )
                | ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV42 @ SY1181 ) @ nil_Pr743626285e_name ) @ SY1180 )
                  = SY1180 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[848]) ).

thf(1160,plain,
    ! [SV43: name] :
      ( ( ! [SY1182: pi_Rep] :
            ( ~ ( fresh_name_pi_Rep @ SV43 @ SY1182 )
            | ! [SY1183: name] :
                ( ~ ( fresh_name_pi_Rep @ SY1183 @ SY1182 )
                | ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV43 @ SY1183 ) @ nil_Pr743626285e_name ) @ SY1182 )
                  = SY1182 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[849]) ).

thf(1161,plain,
    ! [SV44: name] :
      ( ( ! [SY1184: product_unit] :
            ( ~ ( fresh_1143631827t_unit @ SV44 @ SY1184 )
            | ! [SY1185: name] :
                ( ~ ( fresh_1143631827t_unit @ SY1185 @ SY1184 )
                | ( ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV44 @ SY1185 ) @ nil_Pr743626285e_name ) @ SY1184 )
                  = SY1184 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[850]) ).

thf(1162,plain,
    ! [SV45: name] :
      ( ( ! [SY1186: produc1141751126_pi_pi] :
            ( ~ ( fresh_1376661020_pi_pi @ SV45 @ SY1186 )
            | ! [SY1187: name] :
                ( ~ ( fresh_1376661020_pi_pi @ SY1187 @ SY1186 )
                | ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV45 @ SY1187 ) @ nil_Pr743626285e_name ) @ SY1186 )
                  = SY1186 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[851]) ).

thf(1163,plain,
    ! [SV46: name] :
      ( ( ! [SY1188: name] :
            ( ~ ( fresh_name_name @ SV46 @ SY1188 )
            | ! [SY1189: name] :
                ( ~ ( fresh_name_name @ SY1189 @ SY1188 )
                | ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV46 @ SY1189 ) @ nil_Pr743626285e_name ) @ SY1188 )
                  = SY1188 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[852]) ).

thf(1164,plain,
    ! [SV47: name] :
      ( ( ! [SY1190: pi] :
            ( ~ ( fresh_name_pi @ SV47 @ SY1190 )
            | ! [SY1191: name] :
                ( ~ ( fresh_name_pi @ SY1191 @ SY1190 )
                | ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV47 @ SY1191 ) @ nil_Pr743626285e_name ) @ SY1190 )
                  = SY1190 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[853]) ).

thf(1165,plain,
    ! [SV48: name] :
      ( ( ! [SY1192: name > noption_pi] :
            ( ~ ( fresh_543891186ion_pi @ SV48 @ SY1192 )
            | ! [SY1193: name] :
                ( ~ ( fresh_543891186ion_pi @ SY1193 @ SY1192 )
                | ( ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV48 @ SY1193 ) @ nil_Pr743626285e_name ) @ SY1192 )
                  = SY1192 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[854]) ).

thf(1166,plain,
    ! [SV49: name] :
      ( ( ! [SY1194: list_P227219501e_name] :
            ( ~ ( fresh_922791155e_name @ SV49 @ SY1194 )
            | ! [SY1195: pi] :
                ( ~ ( fresh_name_pi @ SV49 @ SY1195 )
                | ( fresh_name_pi @ SV49 @ ( perm_name_pi @ SY1194 @ SY1195 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[856]) ).

thf(1167,plain,
    ! [SV50: list_P227219501e_name] :
      ( ( ! [SY1196: name,SY1197: pi] :
            ( ( fresh_name_pi @ ( perm_name_name @ SV50 @ SY1196 ) @ ( perm_name_pi @ SV50 @ SY1197 ) )
            = ( fresh_name_pi @ SY1196 @ SY1197 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[857]) ).

thf(1168,plain,
    ! [SV51: name] :
      ( ( ! [SY1198: pi] : ( fresh_name_pi @ SV51 @ ( res @ SV51 @ SY1198 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[858]) ).

thf(1169,plain,
    ! [SV52: name] :
      ( ( ! [SY1199: name] :
            ( ( SV52 = SY1199 )
            | ! [SY1200: pi] : ( fresh_name_pi @ SV52 @ ( subs @ SY1200 @ SV52 @ SY1199 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[859]) ).

thf(1170,plain,
    ! [SV53: name] :
      ( ( ! [SY1201: pi] :
            ( ~ ( fresh_name_pi @ SV53 @ SY1201 )
            | ! [SY1202: name] :
                ( ( SV53 = SY1202 )
                | ! [SY1203: name] : ( fresh_name_pi @ SV53 @ ( subs @ SY1201 @ SY1203 @ SY1202 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[860]) ).

thf(1171,plain,
    ! [SV54: name] :
      ( ( ! [SY1204: pi] :
            ( ~ ( fresh_name_pi @ SV54 @ SY1204 )
            | ! [SY1205: name] :
                ( ( subs @ SY1204 @ SV54 @ SY1205 )
                = SY1204 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[861]) ).

thf(1172,plain,
    ! [SV55: name] :
      ( ( ( perm_name_name @ nil_Pr743626285e_name @ SV55 )
        = SV55 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[862]) ).

thf(1173,plain,
    ! [SV56: name] :
      ( ( ! [SY1206: pi] :
            ( ~ ( fresh_name_pi @ SV56 @ SY1206 )
            | ! [SY1207: name] :
                ( ( subs @ ( res @ SY1207 @ SY1206 ) @ SY1207 @ SV56 )
                = ( res @ SV56 @ ( subs @ SY1206 @ SY1207 @ SV56 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[863]) ).

thf(1174,plain,
    ! [SV57: name] :
      ( ( ! [SY1208: pi] :
            ( ~ ( fresh_name_pi @ SV57 @ SY1208 )
            | ! [SY1209: name] :
                ( ( res @ SY1209 @ SY1208 )
                = ( res @ SV57 @ ( subs @ SY1208 @ SY1209 @ SV57 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[864]) ).

thf(1175,plain,
    ! [SV58: list_P227219501e_name] :
      ( ( ! [SY1210: pi,SY1211: name,SY1212: name] :
            ( ( perm_name_pi @ SV58 @ ( subs @ SY1210 @ SY1211 @ SY1212 ) )
            = ( subs @ ( perm_name_pi @ SV58 @ SY1210 ) @ ( perm_name_name @ SV58 @ SY1211 ) @ ( perm_name_name @ SV58 @ SY1212 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[865]) ).

thf(1176,plain,
    ! [SV59: name] :
      ( ( ! [SY1213: name] :
            ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV59 @ SY1213 ) @ nil_Pr743626285e_name ) @ SV59 )
            = SY1213 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[866]) ).

thf(1177,plain,
    ! [SV60: name] :
      ( ( ! [SY1214: name] :
            ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV60 @ SY1214 ) @ nil_Pr743626285e_name ) @ SY1214 )
            = SV60 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[867]) ).

thf(1178,plain,
    ! [SV61: name] :
      ( ( ! [SY1215: name] :
            ( ( SV61 = SY1215 )
            | ! [SY1216: name] :
                ( ( SY1216 = SY1215 )
                | ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV61 @ SY1216 ) @ nil_Pr743626285e_name ) @ SY1215 )
                  = SY1215 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[868]) ).

thf(1179,plain,
    ! [SV62: name] :
      ( ( ! [SY1217: name] :
            ( ( SV62 = SY1217 )
            | ! [SY1218: late_subject] :
                ( ~ ( fresh_717452603ubject @ SY1217 @ SY1218 )
                | ~ ( fresh_717452603ubject @ SV62 @ SY1218 )
                | ! [SY1219: name] : ( fresh_717452603ubject @ SV62 @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1217 @ SY1219 ) @ nil_Pr743626285e_name ) @ SY1218 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[869]) ).

thf(1180,plain,
    ! [SV63: name] :
      ( ( ! [SY1220: name] :
            ( ( SV63 = SY1220 )
            | ! [SY1221: late_freeRes] :
                ( ~ ( fresh_1641682979reeRes @ SY1220 @ SY1221 )
                | ~ ( fresh_1641682979reeRes @ SV63 @ SY1221 )
                | ! [SY1222: name] : ( fresh_1641682979reeRes @ SV63 @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1220 @ SY1222 ) @ nil_Pr743626285e_name ) @ SY1221 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[870]) ).

thf(1181,plain,
    ! [SV64: name] :
      ( ( ! [SY1223: name] :
            ( ( SV64 = SY1223 )
            | ! [SY1224: pi_Rep] :
                ( ~ ( fresh_name_pi_Rep @ SY1223 @ SY1224 )
                | ~ ( fresh_name_pi_Rep @ SV64 @ SY1224 )
                | ! [SY1225: name] : ( fresh_name_pi_Rep @ SV64 @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1223 @ SY1225 ) @ nil_Pr743626285e_name ) @ SY1224 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[871]) ).

thf(1182,plain,
    ! [SV65: name] :
      ( ( ! [SY1226: name] :
            ( ( SV65 = SY1226 )
            | ! [SY1227: product_unit] :
                ( ~ ( fresh_1143631827t_unit @ SY1226 @ SY1227 )
                | ~ ( fresh_1143631827t_unit @ SV65 @ SY1227 )
                | ! [SY1228: name] : ( fresh_1143631827t_unit @ SV65 @ ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1226 @ SY1228 ) @ nil_Pr743626285e_name ) @ SY1227 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[872]) ).

thf(1183,plain,
    ! [SV66: name] :
      ( ( ! [SY1229: name] :
            ( ( SV66 = SY1229 )
            | ! [SY1230: produc1141751126_pi_pi] :
                ( ~ ( fresh_1376661020_pi_pi @ SY1229 @ SY1230 )
                | ~ ( fresh_1376661020_pi_pi @ SV66 @ SY1230 )
                | ! [SY1231: name] : ( fresh_1376661020_pi_pi @ SV66 @ ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1229 @ SY1231 ) @ nil_Pr743626285e_name ) @ SY1230 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[873]) ).

thf(1184,plain,
    ! [SV67: name] :
      ( ( ! [SY1232: name] :
            ( ( SV67 = SY1232 )
            | ! [SY1233: name] :
                ( ~ ( fresh_name_name @ SY1232 @ SY1233 )
                | ~ ( fresh_name_name @ SV67 @ SY1233 )
                | ! [SY1234: name] : ( fresh_name_name @ SV67 @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1232 @ SY1234 ) @ nil_Pr743626285e_name ) @ SY1233 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[874]) ).

thf(1185,plain,
    ! [SV68: name] :
      ( ( ! [SY1235: name] :
            ( ( SV68 = SY1235 )
            | ! [SY1236: pi] :
                ( ~ ( fresh_name_pi @ SY1235 @ SY1236 )
                | ~ ( fresh_name_pi @ SV68 @ SY1236 )
                | ! [SY1237: name] : ( fresh_name_pi @ SV68 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1235 @ SY1237 ) @ nil_Pr743626285e_name ) @ SY1236 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[875]) ).

thf(1186,plain,
    ! [SV69: name] :
      ( ( ! [SY1238: name] :
            ( ( SV69 = SY1238 )
            | ! [SY1239: name > noption_pi] :
                ( ~ ( fresh_543891186ion_pi @ SY1238 @ SY1239 )
                | ~ ( fresh_543891186ion_pi @ SV69 @ SY1239 )
                | ! [SY1240: name] : ( fresh_543891186ion_pi @ SV69 @ ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1238 @ SY1240 ) @ nil_Pr743626285e_name ) @ SY1239 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[876]) ).

thf(1187,plain,
    ! [SV70: list_P227219501e_name] :
      ( ( ! [SY1241: list_P227219501e_name,SY1242: pi] :
            ( ( perm_name_pi @ SV70 @ ( perm_name_pi @ SY1241 @ SY1242 ) )
            = ( perm_name_pi @ ( perm_n1160739829e_name @ SV70 @ SY1241 ) @ ( perm_name_pi @ SV70 @ SY1242 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[877]) ).

thf(1188,plain,
    ! [SV71: list_P227219501e_name] :
      ( ( ! [SY1243: list_P227219501e_name,SY1244: pi] :
            ( ( perm_name_pi @ SV71 @ ( perm_name_pi @ SY1243 @ SY1244 ) )
            = ( perm_name_pi @ ( perm_n1160739829e_name @ SV71 @ SY1243 ) @ ( perm_name_pi @ SV71 @ SY1244 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[878]) ).

thf(1189,plain,
    ! [SV72: list_P227219501e_name] :
      ( ( ! [SY1245: list_P227219501e_name,SY1246: pi] :
            ( ( perm_name_pi @ SV72 @ ( perm_name_pi @ SY1245 @ SY1246 ) )
            = ( perm_name_pi @ ( perm_n1160739829e_name @ SV72 @ SY1245 ) @ ( perm_name_pi @ SV72 @ SY1246 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[879]) ).

thf(1190,plain,
    ! [SV73: list_P227219501e_name] :
      ( ( ! [SY1247: pi,SY1248: pi] :
            ( ( ( perm_name_pi @ SV73 @ SY1247 )
              = ( perm_name_pi @ SV73 @ SY1248 ) )
            = ( SY1247 = SY1248 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[880]) ).

thf(1191,plain,
    ! [SV74: list_P227219501e_name] :
      ( ( ! [SY1249: pi > late_subject,SY1250: pi] :
            ( ( perm_n1559866809ubject @ SV74 @ ( SY1249 @ SY1250 ) )
            = ( perm_n190055296ubject @ SV74 @ SY1249 @ ( perm_name_pi @ SV74 @ SY1250 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[881]) ).

thf(1192,plain,
    ! [SV75: list_P227219501e_name] :
      ( ( ! [SY1251: pi > late_freeRes,SY1252: pi] :
            ( ( perm_n336613537reeRes @ SV75 @ ( SY1251 @ SY1252 ) )
            = ( perm_n1333244520reeRes @ SV75 @ SY1251 @ ( perm_name_pi @ SV75 @ SY1252 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[882]) ).

thf(1193,plain,
    ! [SV76: list_P227219501e_name] :
      ( ( ! [SY1253: pi,SY1254: pi] :
            ( ( perm_name_o @ SV76 @ ( SY1253 = SY1254 ) )
            = ( ( perm_name_pi @ SV76 @ SY1253 )
              = ( perm_name_pi @ SV76 @ SY1254 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[883]) ).

thf(1194,plain,
    ! [SV77: name] :
      ( ( ! [SY1255: pi] :
            ( ~ ( fresh_name_pi @ SV77 @ SY1255 )
            | ! [SY1256: name] :
                ( ( res @ SY1256 @ SY1255 )
                = ( res @ SV77 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1256 @ SV77 ) @ nil_Pr743626285e_name ) @ SY1255 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[885]) ).

thf(1195,plain,
    ! [SV78: name] :
      ( ( ! [SY1257: pi] :
            ( ~ ( fresh_name_pi @ SV78 @ SY1257 )
            | ! [SY1258: name] :
                ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1258 @ SV78 ) @ nil_Pr743626285e_name ) @ SY1257 )
                = ( subs @ SY1257 @ SY1258 @ SV78 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[886]) ).

thf(1196,plain,
    ! [SV79: name] :
      ( ( ! [SY1259: pi] :
            ( ~ ( fresh_name_pi @ SV79 @ SY1259 )
            | ! [SY1260: name,SY1261: name] :
                ( ( subs @ SY1259 @ SY1260 @ SY1261 )
                = ( subs @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV79 @ SY1260 ) @ nil_Pr743626285e_name ) @ SY1259 ) @ SV79 @ SY1261 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[887]) ).

thf(1197,plain,
    ! [SV80: pi] :
      ( ( ! [SY1262: pi,SY1263: name,SY1264: pi] :
            ( ( par @ SV80 @ SY1262 )
           != ( res @ SY1263 @ SY1264 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[888]) ).

thf(1198,plain,
    ! [SV81: name] :
      ( ( ! [SY1265: name,SY1266: late_subject] :
            ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV81 @ SY1265 ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1265 @ SV81 ) @ nil_Pr743626285e_name ) @ SY1266 ) )
            = SY1266 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[889]) ).

thf(1199,plain,
    ! [SV82: name] :
      ( ( ! [SY1267: name,SY1268: late_freeRes] :
            ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV82 @ SY1267 ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1267 @ SV82 ) @ nil_Pr743626285e_name ) @ SY1268 ) )
            = SY1268 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[890]) ).

thf(1200,plain,
    ! [SV83: name] :
      ( ( ! [SY1269: name,SY1270: pi_Rep] :
            ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV83 @ SY1269 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1269 @ SV83 ) @ nil_Pr743626285e_name ) @ SY1270 ) )
            = SY1270 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[891]) ).

thf(1201,plain,
    ! [SV84: name] :
      ( ( ! [SY1271: name,SY1272: name] :
            ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV84 @ SY1271 ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1271 @ SV84 ) @ nil_Pr743626285e_name ) @ SY1272 ) )
            = SY1272 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[892]) ).

thf(1202,plain,
    ! [SV85: name] :
      ( ( ! [SY1273: name,SY1274: pi] :
            ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV85 @ SY1273 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1273 @ SV85 ) @ nil_Pr743626285e_name ) @ SY1274 ) )
            = SY1274 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[893]) ).

thf(1203,plain,
    ! [SV86: name] :
      ( ( ! [SY1275: pi] :
            ( ~ ( fresh_name_pi @ SV86 @ SY1275 )
            | ! [SY1276: late_subject,SY1277: name] :
                ( ( late_BoundR @ SY1276 @ SY1277 @ SY1275 )
                = ( late_BoundR @ SY1276 @ SV86 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1277 @ SV86 ) @ nil_Pr743626285e_name ) @ SY1275 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[894]) ).

thf(1204,plain,
    ! [SV87: late_freeRes_Rep] :
      ( ( ( perm_n1938283068es_Rep @ nil_Pr743626285e_name @ SV87 )
        = SV87 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[895]) ).

thf(1205,plain,
    ! [SV88: late_subject_Rep] :
      ( ( ( perm_n697952036ct_Rep @ nil_Pr743626285e_name @ SV88 )
        = SV88 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[896]) ).

thf(1206,plain,
    ! [SV89: late_residual_Rep] :
      ( ( ( perm_n890803237al_Rep @ nil_Pr743626285e_name @ SV89 )
        = SV89 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[897]) ).

thf(1207,plain,
    ! [SV90: name] :
      ( ( ! [SY1278: name] :
            ( ( ( late_BoundOutputS @ SV90 )
              = ( late_BoundOutputS @ SY1278 ) )
            = ( SV90 = SY1278 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[898]) ).

thf(1208,plain,
    ! [SV91: name] :
      ( ( ! [SY1279: pi] :
            ( ~ ( fresh_name_pi @ SV91 @ SY1279 )
            | ! [SY1280: name,SY1281: name] :
                ( ( subs @ ( subs @ SY1279 @ SY1280 @ SV91 ) @ SV91 @ SY1281 )
                = ( subs @ SY1279 @ SY1280 @ SY1281 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[900]) ).

thf(1209,plain,
    ! [SV92: list_P227219501e_name] :
      ( ( ! [SY1282: name] :
            ( ( perm_n1559866809ubject @ SV92 @ ( late_BoundOutputS @ SY1282 ) )
            = ( late_BoundOutputS @ ( perm_name_name @ SV92 @ SY1282 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[901]) ).

thf(1210,plain,
    ! [SV93: name] :
      ( ( ! [SY1283: name] :
            ( ( fresh_717452603ubject @ SV93 @ ( late_BoundOutputS @ SY1283 ) )
            = ( fresh_name_name @ SV93 @ SY1283 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[902]) ).

thf(1211,plain,
    ! [SV94: pi] :
      ( ( ! [SY1284: late_residual] :
            ( ~ ( late_transitions @ SV94 @ SY1284 )
            | ! [SY1285: name] :
                ( ~ ( fresh_name_pi @ SY1285 @ SV94 )
                | ( fresh_81631222sidual @ SY1285 @ SY1284 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[903]) ).

thf(1212,plain,
    ! [SV95: pi] :
      ( ( ! [SY1286: late_freeRes,SY1287: pi] :
            ( ~ ( late_transitions @ SV95 @ ( late_FreeR @ SY1286 @ SY1287 ) )
            | ! [SY1288: name] :
                ( ~ ( fresh_1641682979reeRes @ SY1288 @ SY1286 )
                | ( late_transitions @ ( res @ SY1288 @ SV95 ) @ ( late_FreeR @ SY1286 @ ( res @ SY1288 @ SY1287 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[906]) ).

thf(1213,plain,
    ! [SV96: pi] :
      ( ( ! [SY1289: late_subject,SY1290: name,SY1291: pi] :
            ( ~ ( late_transitions @ SV96 @ ( late_BoundR @ SY1289 @ SY1290 @ SY1291 ) )
            | ! [SY1292: name] :
                ( ~ ( fresh_717452603ubject @ SY1292 @ SY1289 )
                | ( SY1292 = SY1290 )
                | ( late_transitions @ ( res @ SY1292 @ SV96 ) @ ( late_BoundR @ SY1289 @ SY1290 @ ( res @ SY1292 @ SY1291 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[907]) ).

thf(1214,plain,
    ! [SV97: pi] :
      ( ( ! [SY1293: late_subject,SY1294: name] :
            ( ! [SY1295: pi] :
                ~ ( late_transitions @ SV97 @ ( late_BoundR @ SY1293 @ SY1294 @ SY1295 ) )
            | ! [SY1296: name] :
                ( ~ ( fresh_name_pi @ SY1296 @ SV97 )
                | ( fresh_717452603ubject @ SY1296 @ SY1293 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[908]) ).

thf(1215,plain,
    ! [SV98: pi] :
      ( ( ! [SY1297: late_subject,SY1298: name,SY1299: pi] :
            ( ~ ( late_transitions @ SV98 @ ( late_BoundR @ SY1297 @ SY1298 @ SY1299 ) )
            | ! [SY1300: name] :
                ( ~ ( fresh_717452603ubject @ SY1300 @ SY1297 )
                | ( SY1300 = SY1298 )
                | ~ ( fresh_name_pi @ SY1298 @ SV98 )
                | ~ ( fresh_717452603ubject @ SY1298 @ SY1297 )
                | ( late_transitions @ ( res @ SY1300 @ SV98 ) @ ( late_BoundR @ SY1297 @ SY1298 @ ( res @ SY1300 @ SY1299 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[909]) ).

thf(1216,plain,
    ! [SV99: pi] :
      ( ( ! [SY1301: late_subject,SY1302: name,SY1303: pi] :
            ( ~ ( late_transitions @ SV99 @ ( late_BoundR @ SY1301 @ SY1302 @ SY1303 ) )
            | ~ ( fresh_name_pi @ SY1302 @ SV99 )
            | ! [SY1304: pi] :
                ( ~ ( fresh_name_pi @ SY1302 @ SY1304 )
                | ~ ( fresh_717452603ubject @ SY1302 @ SY1301 )
                | ( late_transitions @ ( par @ SV99 @ SY1304 ) @ ( late_BoundR @ SY1301 @ SY1302 @ ( par @ SY1303 @ SY1304 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[911]) ).

thf(1217,plain,
    ! [SV100: pi] :
      ( ( ! [SY1305: late_subject,SY1306: name,SY1307: pi] :
            ( ~ ( late_transitions @ SV100 @ ( late_BoundR @ SY1305 @ SY1306 @ SY1307 ) )
            | ! [SY1308: pi] :
                ( ~ ( fresh_name_pi @ SY1306 @ SY1308 )
                | ~ ( fresh_name_pi @ SY1306 @ SV100 )
                | ~ ( fresh_717452603ubject @ SY1306 @ SY1305 )
                | ( late_transitions @ ( par @ SY1308 @ SV100 ) @ ( late_BoundR @ SY1305 @ SY1306 @ ( par @ SY1308 @ SY1307 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[912]) ).

thf(1218,plain,
    ! [SV101: late_subject] :
      ( ( ! [SY1309: name,SY1310: pi,SY1311: late_freeRes,SY1312: pi] :
            ( ( late_BoundR @ SV101 @ SY1309 @ SY1310 )
           != ( late_FreeR @ SY1311 @ SY1312 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[913]) ).

thf(1219,plain,
    ! [SV102: late_residual > $o] :
      ( ( ~ ( SV102 @ ( late_BoundR @ ( sK100_Subject2 @ SV102 ) @ ( sK101_SY1085 @ SV102 ) @ ( sK102_SY1087 @ SV102 ) ) )
        | ~ ( SV102 @ ( late_FreeR @ ( sK98_FreeRes2 @ SV102 ) @ ( sK99_SY1084 @ SV102 ) ) )
        | ! [SY1313: late_residual] : ( SV102 @ SY1313 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[914]) ).

thf(1220,plain,
    ! [SV103: pi] :
      ( ( ! [SY1314: late_residual] :
            ( ~ ( late_transitions @ SV103 @ SY1314 )
            | ! [SY1315: list_P227219501e_name] : ( late_transitions @ ( perm_name_pi @ SY1315 @ SV103 ) @ ( perm_n414416632sidual @ SY1315 @ SY1314 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[915]) ).

thf(1221,plain,
    ! [SV104: name] :
      ( ( ! [SY1316: name] :
            ( ( late_InputS @ SV104 )
           != ( late_BoundOutputS @ SY1316 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[916]) ).

thf(1222,plain,
    ! [SV105: late_subject > $o] :
      ( ( ~ ( SV105 @ ( late_InputS @ ( sK97_Name3 @ SV105 ) ) )
        | ~ ( SV105 @ ( late_BoundOutputS @ ( sK96_Name3 @ SV105 ) ) )
        | ! [SY1317: late_subject] : ( SV105 @ SY1317 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[917]) ).

thf(1223,plain,
    ! [SV106: pi] :
      ( ( ! [SY1318: late_freeRes,SY1319: pi] :
            ( ~ ( late_transitions @ SV106 @ ( late_FreeR @ SY1318 @ SY1319 ) )
            | ! [SY1320: pi] : ( late_transitions @ ( par @ SV106 @ SY1320 ) @ ( late_FreeR @ SY1318 @ ( par @ SY1319 @ SY1320 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[918]) ).

thf(1224,plain,
    ! [SV107: pi] :
      ( ( ! [SY1321: late_freeRes,SY1322: pi] :
            ( ~ ( late_transitions @ SV107 @ ( late_FreeR @ SY1321 @ SY1322 ) )
            | ! [SY1323: pi] : ( late_transitions @ ( par @ SY1323 @ SV107 ) @ ( late_FreeR @ SY1321 @ ( par @ SY1323 @ SY1322 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[919]) ).

thf(1225,plain,
    ! [SV108: pi] :
      ( ( ! [SY1324: late_subject,SY1325: name,SY1326: pi] :
            ( ~ ( late_transitions @ SV108 @ ( late_BoundR @ SY1324 @ SY1325 @ SY1326 ) )
            | ! [SY1327: name] :
                ( ~ ( fresh_name_pi @ SY1327 @ SV108 )
                | ( SY1327 = SY1325 )
                | ( fresh_name_pi @ SY1327 @ SY1326 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[920]) ).

thf(1226,plain,
    ! [SV109: pi] :
      ( ( ! [SY1328: late_freeRes,SY1329: pi] :
            ( ~ ( late_transitions @ SV109 @ ( late_FreeR @ SY1328 @ SY1329 ) )
            | ! [SY1330: name] :
                ( ~ ( fresh_name_pi @ SY1330 @ SV109 )
                | ( fresh_name_pi @ SY1330 @ SY1329 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[921]) ).

thf(1227,plain,
    ! [SV110: pi] :
      ( ( ! [SY1331: late_subject,SY1332: name,SY1333: pi] :
            ( ~ ( late_transitions @ SV110 @ ( late_BoundR @ SY1331 @ SY1332 @ SY1333 ) )
            | ! [SY1334: pi] :
                ( ~ ( fresh_name_pi @ SY1332 @ SY1334 )
                | ( late_transitions @ ( par @ SV110 @ SY1334 ) @ ( late_BoundR @ SY1331 @ SY1332 @ ( par @ SY1333 @ SY1334 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[922]) ).

thf(1228,plain,
    ! [SV111: pi] :
      ( ( ! [SY1335: late_subject,SY1336: name,SY1337: pi] :
            ( ~ ( late_transitions @ SV111 @ ( late_BoundR @ SY1335 @ SY1336 @ SY1337 ) )
            | ! [SY1338: pi] :
                ( ~ ( fresh_name_pi @ SY1336 @ SY1338 )
                | ( late_transitions @ ( par @ SY1338 @ SV111 ) @ ( late_BoundR @ SY1335 @ SY1336 @ ( par @ SY1338 @ SY1337 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[923]) ).

thf(1229,plain,
    ! [SV112: pi] :
      ( ( ! [SY1339: name,SY1340: name,SY1341: pi] :
            ( ~ ( late_transitions @ SV112 @ ( late_FreeR @ ( late_OutputR @ SY1339 @ SY1340 ) @ SY1341 ) )
            | ( SY1339 = SY1340 )
            | ( late_transitions @ ( res @ SY1340 @ SV112 ) @ ( late_BoundR @ ( late_BoundOutputS @ SY1339 ) @ SY1340 @ SY1341 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[925]) ).

thf(1230,plain,
    ! [SV113: pi] :
      ( ( ! [SY1342: pi,SY1343: late_subject,SY1344: name,SY1345: set_Pr1834926343_pi_pi] :
            ( ~ ( strong2129052853vative @ SV113 @ SY1342 @ SY1343 @ SY1344 @ SY1345 )
            | ~ ( eqvt_pi @ SY1345 )
            | ! [SY1346: list_P227219501e_name] : ( strong2129052853vative @ ( perm_name_pi @ SY1346 @ SV113 ) @ ( perm_name_pi @ SY1346 @ SY1342 ) @ SY1343 @ ( perm_name_name @ SY1346 @ SY1344 ) @ SY1345 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[926]) ).

thf(1231,plain,
    ! [SV114: list_P227219501e_name > $o] :
      ( ( ~ ( SV114 @ ( sK93_X_1 @ SV114 ) )
        | ( SV114 @ nil_Pr743626285e_name ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[928]) ).

thf(1232,plain,
    ! [SV115: pi] :
      ( ( ! [SY1347: pi] :
            ( ( SV115 != SY1347 )
            | ! [SY1348: list_P227219501e_name] :
                ( ( perm_name_pi @ SY1348 @ SV115 )
                = ( perm_name_pi @ SY1348 @ SY1347 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[930]) ).

thf(1233,plain,
    ! [SV116: name] :
      ( ( ! [SY1349: name,SY1350: name] :
            ( ~ ( fresh_441084397e_name @ SV116 @ ( produc1570949143e_name @ SY1349 @ SY1350 ) )
            | ( fresh_name_name @ SV116 @ SY1350 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[931]) ).

thf(1234,plain,
    ! [SV117: name] :
      ( ( ! [SY1351: name] :
            ( ! [SY1352: name] :
                ~ ( fresh_441084397e_name @ SV117 @ ( produc1570949143e_name @ SY1351 @ SY1352 ) )
            | ( fresh_name_name @ SV117 @ SY1351 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[932]) ).

thf(1235,plain,
    ! [SV118: list_P227219501e_name] :
      ( ( ! [SY1353: pi,SY1354: list_pi] :
            ( ( perm_name_list_pi @ SV118 @ ( cons_pi @ SY1353 @ SY1354 ) )
            = ( cons_pi @ ( perm_name_pi @ SV118 @ SY1353 ) @ ( perm_name_list_pi @ SV118 @ SY1354 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[934]) ).

thf(1236,plain,
    ! [SV119: name] :
      ( ( ! [SY1355: name] :
            ( ( ( late_BoundOutputS @ SV119 )
              = ( late_BoundOutputS @ SY1355 ) )
            = ( SV119 = SY1355 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[936]) ).

thf(1237,plain,
    ! [SV120: late_subject] :
      ( ( ( SV120
          = ( late_InputS @ ( sK91_X13 @ SV120 ) ) )
        | ( SV120
          = ( late_BoundOutputS @ ( sK90_X22 @ SV120 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[937]) ).

thf(1238,plain,
    ! [SV121: name] :
      ( ( ! [SY1356: name] :
            ( ( late_InputS @ SV121 )
           != ( late_BoundOutputS @ SY1356 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[938]) ).

thf(1239,plain,
    ! [SV122: list_P227219501e_name] :
      ( ( ! [SY1357: name,SY1358: name,SY1359: pi] :
            ( ( perm_name_pi @ SV122 @ ( input @ SY1357 @ SY1358 @ SY1359 ) )
            = ( input @ ( perm_name_name @ SV122 @ SY1357 ) @ ( perm_name_name @ SV122 @ SY1358 ) @ ( perm_name_pi @ SV122 @ SY1359 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[940]) ).

thf(1240,plain,
    ! [SV123: name] :
      ( ( ! [SY1360: name,SY1361: pi,SY1362: name,SY1363: pi] :
            ( ( input @ SV123 @ SY1360 @ SY1361 )
           != ( res @ SY1362 @ SY1363 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[941]) ).

thf(1241,plain,
    ! [SV124: name] :
      ( ( ! [SY1364: name,SY1365: pi,SY1366: pi,SY1367: pi] :
            ( ( input @ SV124 @ SY1364 @ SY1365 )
           != ( par @ SY1366 @ SY1367 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[942]) ).

thf(1242,plain,
    ! [SV125: name] :
      ( ( ! [SY1368: name,SY1369: pi,SY1370: late_residual] :
            ~ ( late_transitions @ ( res @ SV125 @ ( input @ SV125 @ SY1368 @ SY1369 ) ) @ SY1370 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[943]) ).

thf(1243,plain,
    ! [SV126: name] :
      ( ( ! [SY1371: name,SY1372: pi,SY1373: late_freeRes,SY1374: pi] :
            ~ ( late_transitions @ ( input @ SV126 @ SY1371 @ SY1372 ) @ ( late_FreeR @ SY1373 @ SY1374 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[944]) ).

thf(1244,plain,
    ! [SV127: name] :
      ( ( ! [SY1375: name,SY1376: name,SY1377: pi,SY1378: late_freeRes,SY1379: pi] :
            ~ ( late_transitions @ ( res @ SV127 @ ( input @ SY1375 @ SY1376 @ SY1377 ) ) @ ( late_FreeR @ SY1378 @ SY1379 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[945]) ).

thf(1245,plain,
    ! [SV128: name] :
      ( ( ! [SY1380: name,SY1381: pi,SY1382: name,SY1383: name,SY1384: pi] :
            ~ ( late_transitions @ ( input @ SV128 @ SY1380 @ SY1381 ) @ ( late_BoundR @ ( late_BoundOutputS @ SY1382 ) @ SY1383 @ SY1384 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[946]) ).

thf(1246,plain,
    ! [SV129: name] :
      ( ( ! [SY1385: name,SY1386: pi] : ( late_transitions @ ( input @ SV129 @ SY1385 @ SY1386 ) @ ( late_BoundR @ ( late_InputS @ SV129 ) @ SY1385 @ SY1386 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[947]) ).

thf(1247,plain,
    ! [SV130: name] :
      ( ( ! [SY1387: name] :
            ( ( SV130 = SY1387 )
            | ! [SY1388: pi] : ( late_transitions @ ( input @ SY1387 @ SV130 @ SY1388 ) @ ( late_BoundR @ ( late_InputS @ SY1387 ) @ SV130 @ SY1388 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[948]) ).

thf(1248,plain,
    ! [SV131: name] :
      ( ( ! [SY1389: name,SY1390: pi,SY1391: late_subject] :
            ( ! [SY1392: name,SY1393: pi] :
                ~ ( late_transitions @ ( input @ SV131 @ SY1389 @ SY1390 ) @ ( late_BoundR @ SY1391 @ SY1392 @ SY1393 ) )
            | ~ ( fresh_717452603ubject @ SV131 @ SY1391 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[949]) ).

thf(1249,plain,
    ! [SV132: name] :
      ( ( ! [SY1394: name,SY1395: name,SY1396: pi,SY1397: name,SY1398: name,SY1399: pi] :
            ~ ( late_transitions @ ( res @ SV132 @ ( input @ SY1394 @ SY1395 @ SY1396 ) ) @ ( late_BoundR @ ( late_BoundOutputS @ SY1397 ) @ SY1398 @ SY1399 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[950]) ).

thf(1250,plain,
    ! [SV133: name] :
      ( ( ! [SY1400: pi] :
            ( ~ ( fresh_name_pi @ SV133 @ SY1400 )
            | ! [SY1401: name,SY1402: name] :
                ( ( input @ SY1401 @ SY1402 @ SY1400 )
                = ( input @ SY1401 @ SV133 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1402 @ SV133 ) @ nil_Pr743626285e_name ) @ SY1400 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[951]) ).

thf(1251,plain,
    ! [SV134: name] :
      ( ( ! [SY1403: name,SY1404: list_P227219501e_name,SY1405: name] :
            ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV134 @ SY1403 ) @ SY1404 ) @ SY1405 )
            = ( swap_name2 @ ( produc1570949143e_name @ SV134 @ SY1403 ) @ ( perm_name_name @ SY1404 @ SY1405 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[952]) ).

thf(1252,plain,
    ! [SV135: $o] :
      ( ( ( SV135 = $true )
        | ( SV135 = $false ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[954]) ).

thf(1253,plain,
    ( ( ( $true = $true )
      | ( $true = $false ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[954]) ).

thf(1254,plain,
    ( ( ( $false = $true )
      | ( $false = $false ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[954]) ).

thf(1255,plain,
    ! [SV136: name] :
      ( ( ! [SY1406: list_P227219501e_name] :
            ( ~ ( fresh_922791155e_name @ SV136 @ SY1406 )
            | ! [SY1407: late_subject] :
                ( ~ ( fresh_717452603ubject @ SV136 @ SY1407 )
                | ( fresh_717452603ubject @ SV136 @ ( perm_n1559866809ubject @ SY1406 @ SY1407 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[957]) ).

thf(1256,plain,
    ! [SV137: name] :
      ( ( ! [SY1408: list_P227219501e_name] :
            ( ~ ( fresh_922791155e_name @ SV137 @ SY1408 )
            | ! [SY1409: late_freeRes] :
                ( ~ ( fresh_1641682979reeRes @ SV137 @ SY1409 )
                | ( fresh_1641682979reeRes @ SV137 @ ( perm_n336613537reeRes @ SY1408 @ SY1409 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[958]) ).

thf(1257,plain,
    ! [SV138: name] :
      ( ( ! [SY1410: list_P227219501e_name] :
            ( ~ ( fresh_922791155e_name @ SV138 @ SY1410 )
            | ! [SY1411: pi_Rep] :
                ( ~ ( fresh_name_pi_Rep @ SV138 @ SY1411 )
                | ( fresh_name_pi_Rep @ SV138 @ ( perm_name_pi_Rep @ SY1410 @ SY1411 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[959]) ).

thf(1258,plain,
    ! [SV139: name] :
      ( ( ! [SY1412: list_P227219501e_name] :
            ( ~ ( fresh_922791155e_name @ SV139 @ SY1412 )
            | ! [SY1413: product_unit] :
                ( ~ ( fresh_1143631827t_unit @ SV139 @ SY1413 )
                | ( fresh_1143631827t_unit @ SV139 @ ( perm_n1960409557t_unit @ SY1412 @ SY1413 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[960]) ).

thf(1259,plain,
    ! [SV140: name] :
      ( ( ! [SY1414: list_P227219501e_name] :
            ( ~ ( fresh_922791155e_name @ SV140 @ SY1414 )
            | ! [SY1415: produc1141751126_pi_pi] :
                ( ~ ( fresh_1376661020_pi_pi @ SV140 @ SY1415 )
                | ( fresh_1376661020_pi_pi @ SV140 @ ( perm_n1255502110_pi_pi @ SY1414 @ SY1415 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[961]) ).

thf(1260,plain,
    ! [SV141: name] :
      ( ( ! [SY1416: list_P227219501e_name] :
            ( ~ ( fresh_922791155e_name @ SV141 @ SY1416 )
            | ! [SY1417: name] :
                ( ~ ( fresh_name_name @ SV141 @ SY1417 )
                | ( fresh_name_name @ SV141 @ ( perm_name_name @ SY1416 @ SY1417 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[962]) ).

thf(1261,plain,
    ! [SV142: name] :
      ( ( ! [SY1418: list_P227219501e_name] :
            ( ~ ( fresh_922791155e_name @ SV142 @ SY1418 )
            | ! [SY1419: name > noption_pi] :
                ( ~ ( fresh_543891186ion_pi @ SV142 @ SY1419 )
                | ( fresh_543891186ion_pi @ SV142 @ ( perm_n1667196784ion_pi @ SY1418 @ SY1419 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[963]) ).

thf(1262,plain,
    ! [SV143: product_unit] :
      ( ( fresh_1143631827t_unit @ ( sK89_C2 @ SV143 ) @ SV143 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[964]) ).

thf(1263,plain,
    ! [SV144: produc1141751126_pi_pi] :
      ( ( fresh_1376661020_pi_pi @ ( sK88_C2 @ SV144 ) @ SV144 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[965]) ).

thf(1264,plain,
    ! [SV145: name] :
      ( ( fresh_name_name @ ( sK87_C2 @ SV145 ) @ SV145 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[966]) ).

thf(1265,plain,
    ! [SV146: pi] :
      ( ( fresh_name_pi @ ( sK86_C2 @ SV146 ) @ SV146 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[967]) ).

thf(1266,plain,
    ! [SV147: list_P227219501e_name] :
      ( ( ! [SY1420: name,SY1421: late_subject] :
            ( ( perm_name_o @ SV147 @ ( fresh_717452603ubject @ SY1420 @ SY1421 ) )
            = ( fresh_717452603ubject @ ( perm_name_name @ SV147 @ SY1420 ) @ ( perm_n1559866809ubject @ SV147 @ SY1421 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[968]) ).

thf(1267,plain,
    ! [SV148: list_P227219501e_name] :
      ( ( ! [SY1422: name,SY1423: late_freeRes] :
            ( ( perm_name_o @ SV148 @ ( fresh_1641682979reeRes @ SY1422 @ SY1423 ) )
            = ( fresh_1641682979reeRes @ ( perm_name_name @ SV148 @ SY1422 ) @ ( perm_n336613537reeRes @ SV148 @ SY1423 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[969]) ).

thf(1268,plain,
    ! [SV149: list_P227219501e_name] :
      ( ( ! [SY1424: name,SY1425: pi_Rep] :
            ( ( perm_name_o @ SV149 @ ( fresh_name_pi_Rep @ SY1424 @ SY1425 ) )
            = ( fresh_name_pi_Rep @ ( perm_name_name @ SV149 @ SY1424 ) @ ( perm_name_pi_Rep @ SV149 @ SY1425 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[970]) ).

thf(1269,plain,
    ! [SV150: list_P227219501e_name] :
      ( ( ! [SY1426: name,SY1427: product_unit] :
            ( ( perm_name_o @ SV150 @ ( fresh_1143631827t_unit @ SY1426 @ SY1427 ) )
            = ( fresh_1143631827t_unit @ ( perm_name_name @ SV150 @ SY1426 ) @ ( perm_n1960409557t_unit @ SV150 @ SY1427 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[971]) ).

thf(1270,plain,
    ! [SV151: list_P227219501e_name] :
      ( ( ! [SY1428: name,SY1429: produc1141751126_pi_pi] :
            ( ( perm_name_o @ SV151 @ ( fresh_1376661020_pi_pi @ SY1428 @ SY1429 ) )
            = ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV151 @ SY1428 ) @ ( perm_n1255502110_pi_pi @ SV151 @ SY1429 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[972]) ).

thf(1271,plain,
    ! [SV152: list_P227219501e_name] :
      ( ( ! [SY1430: name,SY1431: name] :
            ( ( perm_name_o @ SV152 @ ( fresh_name_name @ SY1430 @ SY1431 ) )
            = ( fresh_name_name @ ( perm_name_name @ SV152 @ SY1430 ) @ ( perm_name_name @ SV152 @ SY1431 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[973]) ).

thf(1272,plain,
    ! [SV153: list_P227219501e_name] :
      ( ( ! [SY1432: name,SY1433: pi] :
            ( ( perm_name_o @ SV153 @ ( fresh_name_pi @ SY1432 @ SY1433 ) )
            = ( fresh_name_pi @ ( perm_name_name @ SV153 @ SY1432 ) @ ( perm_name_pi @ SV153 @ SY1433 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[974]) ).

thf(1273,plain,
    ! [SV154: list_P227219501e_name] :
      ( ( ! [SY1434: name,SY1435: name > noption_pi] :
            ( ( perm_name_o @ SV154 @ ( fresh_543891186ion_pi @ SY1434 @ SY1435 ) )
            = ( fresh_543891186ion_pi @ ( perm_name_name @ SV154 @ SY1434 ) @ ( perm_n1667196784ion_pi @ SV154 @ SY1435 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[975]) ).

thf(1274,plain,
    ! [SV155: list_P227219501e_name] :
      ( ( ! [SY1436: name,SY1437: late_subject] :
            ( ( fresh_717452603ubject @ ( perm_name_name @ SV155 @ SY1436 ) @ ( perm_n1559866809ubject @ SV155 @ SY1437 ) )
            = ( fresh_717452603ubject @ SY1436 @ SY1437 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[976]) ).

thf(1275,plain,
    ! [SV156: list_P227219501e_name] :
      ( ( ! [SY1438: name,SY1439: late_freeRes] :
            ( ( fresh_1641682979reeRes @ ( perm_name_name @ SV156 @ SY1438 ) @ ( perm_n336613537reeRes @ SV156 @ SY1439 ) )
            = ( fresh_1641682979reeRes @ SY1438 @ SY1439 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[977]) ).

thf(1276,plain,
    ! [SV157: list_P227219501e_name] :
      ( ( ! [SY1440: name,SY1441: pi_Rep] :
            ( ( fresh_name_pi_Rep @ ( perm_name_name @ SV157 @ SY1440 ) @ ( perm_name_pi_Rep @ SV157 @ SY1441 ) )
            = ( fresh_name_pi_Rep @ SY1440 @ SY1441 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[978]) ).

thf(1277,plain,
    ! [SV158: list_P227219501e_name] :
      ( ( ! [SY1442: name,SY1443: product_unit] :
            ( ( fresh_1143631827t_unit @ ( perm_name_name @ SV158 @ SY1442 ) @ ( perm_n1960409557t_unit @ SV158 @ SY1443 ) )
            = ( fresh_1143631827t_unit @ SY1442 @ SY1443 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[979]) ).

thf(1278,plain,
    ! [SV159: list_P227219501e_name] :
      ( ( ! [SY1444: name,SY1445: produc1141751126_pi_pi] :
            ( ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV159 @ SY1444 ) @ ( perm_n1255502110_pi_pi @ SV159 @ SY1445 ) )
            = ( fresh_1376661020_pi_pi @ SY1444 @ SY1445 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[980]) ).

thf(1279,plain,
    ! [SV160: list_P227219501e_name] :
      ( ( ! [SY1446: name,SY1447: name] :
            ( ( fresh_name_name @ ( perm_name_name @ SV160 @ SY1446 ) @ ( perm_name_name @ SV160 @ SY1447 ) )
            = ( fresh_name_name @ SY1446 @ SY1447 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[981]) ).

thf(1280,plain,
    ! [SV161: list_P227219501e_name] :
      ( ( ! [SY1448: name,SY1449: name > noption_pi] :
            ( ( fresh_543891186ion_pi @ ( perm_name_name @ SV161 @ SY1448 ) @ ( perm_n1667196784ion_pi @ SV161 @ SY1449 ) )
            = ( fresh_543891186ion_pi @ SY1448 @ SY1449 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[982]) ).

thf(1281,plain,
    ! [SV162: list_P227219501e_name] :
      ( ( ! [SY1450: list_P227219501e_name,SY1451: late_subject] :
            ( ( perm_n1559866809ubject @ SV162 @ ( perm_n1559866809ubject @ SY1450 @ SY1451 ) )
            = ( perm_n1559866809ubject @ ( perm_n1160739829e_name @ SV162 @ SY1450 ) @ ( perm_n1559866809ubject @ SV162 @ SY1451 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[983]) ).

thf(1282,plain,
    ! [SV163: list_P227219501e_name] :
      ( ( ! [SY1452: list_P227219501e_name,SY1453: late_freeRes] :
            ( ( perm_n336613537reeRes @ SV163 @ ( perm_n336613537reeRes @ SY1452 @ SY1453 ) )
            = ( perm_n336613537reeRes @ ( perm_n1160739829e_name @ SV163 @ SY1452 ) @ ( perm_n336613537reeRes @ SV163 @ SY1453 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[984]) ).

thf(1283,plain,
    ! [SV164: list_P227219501e_name] :
      ( ( ! [SY1454: list_P227219501e_name,SY1455: pi_Rep] :
            ( ( perm_name_pi_Rep @ SV164 @ ( perm_name_pi_Rep @ SY1454 @ SY1455 ) )
            = ( perm_name_pi_Rep @ ( perm_n1160739829e_name @ SV164 @ SY1454 ) @ ( perm_name_pi_Rep @ SV164 @ SY1455 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[985]) ).

thf(1284,plain,
    ! [SV165: list_P227219501e_name] :
      ( ( ! [SY1456: list_P227219501e_name,SY1457: name] :
            ( ( perm_name_name @ SV165 @ ( perm_name_name @ SY1456 @ SY1457 ) )
            = ( perm_name_name @ ( perm_n1160739829e_name @ SV165 @ SY1456 ) @ ( perm_name_name @ SV165 @ SY1457 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[986]) ).

thf(1285,plain,
    ! [SV166: list_P227219501e_name] :
      ( ( ! [SY1458: list_P227219501e_name,SY1459: late_subject] :
            ( ( perm_n1559866809ubject @ SV166 @ ( perm_n1559866809ubject @ SY1458 @ SY1459 ) )
            = ( perm_n1559866809ubject @ ( perm_n1160739829e_name @ SV166 @ SY1458 ) @ ( perm_n1559866809ubject @ SV166 @ SY1459 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[987]) ).

thf(1286,plain,
    ! [SV167: list_P227219501e_name] :
      ( ( ! [SY1460: list_P227219501e_name,SY1461: late_freeRes] :
            ( ( perm_n336613537reeRes @ SV167 @ ( perm_n336613537reeRes @ SY1460 @ SY1461 ) )
            = ( perm_n336613537reeRes @ ( perm_n1160739829e_name @ SV167 @ SY1460 ) @ ( perm_n336613537reeRes @ SV167 @ SY1461 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[988]) ).

thf(1287,plain,
    ! [SV168: list_P227219501e_name] :
      ( ( ! [SY1462: list_P227219501e_name,SY1463: pi_Rep] :
            ( ( perm_name_pi_Rep @ SV168 @ ( perm_name_pi_Rep @ SY1462 @ SY1463 ) )
            = ( perm_name_pi_Rep @ ( perm_n1160739829e_name @ SV168 @ SY1462 ) @ ( perm_name_pi_Rep @ SV168 @ SY1463 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[989]) ).

thf(1288,plain,
    ! [SV169: list_P227219501e_name] :
      ( ( ! [SY1464: list_P227219501e_name,SY1465: name] :
            ( ( perm_name_name @ SV169 @ ( perm_name_name @ SY1464 @ SY1465 ) )
            = ( perm_name_name @ ( perm_n1160739829e_name @ SV169 @ SY1464 ) @ ( perm_name_name @ SV169 @ SY1465 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[990]) ).

thf(1289,plain,
    ! [SV170: list_P227219501e_name] :
      ( ( ! [SY1466: list_P227219501e_name,SY1467: late_subject] :
            ( ( perm_n1559866809ubject @ SV170 @ ( perm_n1559866809ubject @ SY1466 @ SY1467 ) )
            = ( perm_n1559866809ubject @ ( perm_n1160739829e_name @ SV170 @ SY1466 ) @ ( perm_n1559866809ubject @ SV170 @ SY1467 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[991]) ).

thf(1290,plain,
    ! [SV171: list_P227219501e_name] :
      ( ( ! [SY1468: list_P227219501e_name,SY1469: late_freeRes] :
            ( ( perm_n336613537reeRes @ SV171 @ ( perm_n336613537reeRes @ SY1468 @ SY1469 ) )
            = ( perm_n336613537reeRes @ ( perm_n1160739829e_name @ SV171 @ SY1468 ) @ ( perm_n336613537reeRes @ SV171 @ SY1469 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[992]) ).

thf(1291,plain,
    ! [SV172: list_P227219501e_name] :
      ( ( ! [SY1470: list_P227219501e_name,SY1471: pi_Rep] :
            ( ( perm_name_pi_Rep @ SV172 @ ( perm_name_pi_Rep @ SY1470 @ SY1471 ) )
            = ( perm_name_pi_Rep @ ( perm_n1160739829e_name @ SV172 @ SY1470 ) @ ( perm_name_pi_Rep @ SV172 @ SY1471 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[993]) ).

thf(1292,plain,
    ! [SV173: list_P227219501e_name] :
      ( ( ! [SY1472: list_P227219501e_name,SY1473: name] :
            ( ( perm_name_name @ SV173 @ ( perm_name_name @ SY1472 @ SY1473 ) )
            = ( perm_name_name @ ( perm_n1160739829e_name @ SV173 @ SY1472 ) @ ( perm_name_name @ SV173 @ SY1473 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[994]) ).

thf(1293,plain,
    ! [SV174: list_P227219501e_name] :
      ( ( ! [SY1474: late_subject,SY1475: late_subject] :
            ( ( ( perm_n1559866809ubject @ SV174 @ SY1474 )
              = ( perm_n1559866809ubject @ SV174 @ SY1475 ) )
            = ( SY1474 = SY1475 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[995]) ).

thf(1294,plain,
    ! [SV175: list_P227219501e_name] :
      ( ( ! [SY1476: late_freeRes,SY1477: late_freeRes] :
            ( ( ( perm_n336613537reeRes @ SV175 @ SY1476 )
              = ( perm_n336613537reeRes @ SV175 @ SY1477 ) )
            = ( SY1476 = SY1477 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[996]) ).

thf(1295,plain,
    ! [SV176: list_P227219501e_name] :
      ( ( ! [SY1478: pi_Rep,SY1479: pi_Rep] :
            ( ( ( perm_name_pi_Rep @ SV176 @ SY1478 )
              = ( perm_name_pi_Rep @ SV176 @ SY1479 ) )
            = ( SY1478 = SY1479 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[997]) ).

thf(1296,plain,
    ! [SV177: list_P227219501e_name] :
      ( ( ! [SY1480: name,SY1481: name] :
            ( ( ( perm_name_name @ SV177 @ SY1480 )
              = ( perm_name_name @ SV177 @ SY1481 ) )
            = ( SY1480 = SY1481 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[998]) ).

thf(1297,plain,
    ! [SV178: list_P227219501e_name] :
      ( ( ! [SY1482: late_subject > late_subject,SY1483: late_subject] :
            ( ( perm_n1559866809ubject @ SV178 @ ( SY1482 @ SY1483 ) )
            = ( perm_n1447856217ubject @ SV178 @ SY1482 @ ( perm_n1559866809ubject @ SV178 @ SY1483 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[999]) ).

thf(1298,plain,
    ! [SV179: list_P227219501e_name] :
      ( ( ! [SY1484: late_freeRes > late_subject,SY1485: late_freeRes] :
            ( ( perm_n1559866809ubject @ SV179 @ ( SY1484 @ SY1485 ) )
            = ( perm_n303101761ubject @ SV179 @ SY1484 @ ( perm_n336613537reeRes @ SV179 @ SY1485 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1000]) ).

thf(1299,plain,
    ! [SV180: list_P227219501e_name] :
      ( ( ! [SY1486: pi_Rep > late_subject,SY1487: pi_Rep] :
            ( ( perm_n1559866809ubject @ SV180 @ ( SY1486 @ SY1487 ) )
            = ( perm_n698371375ubject @ SV180 @ SY1486 @ ( perm_name_pi_Rep @ SV180 @ SY1487 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1001]) ).

thf(1300,plain,
    ! [SV181: list_P227219501e_name] :
      ( ( ! [SY1488: name > late_subject,SY1489: name] :
            ( ( perm_n1559866809ubject @ SV181 @ ( SY1488 @ SY1489 ) )
            = ( perm_n1387060402ubject @ SV181 @ SY1488 @ ( perm_name_name @ SV181 @ SY1489 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1002]) ).

thf(1301,plain,
    ! [SV182: list_P227219501e_name] :
      ( ( ! [SY1490: late_subject > late_freeRes,SY1491: late_subject] :
            ( ( perm_n336613537reeRes @ SV182 @ ( SY1490 @ SY1491 ) )
            = ( perm_n443561793reeRes @ SV182 @ SY1490 @ ( perm_n1559866809ubject @ SV182 @ SY1491 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1003]) ).

thf(1302,plain,
    ! [SV183: list_P227219501e_name] :
      ( ( ! [SY1492: late_freeRes > late_freeRes,SY1493: late_freeRes] :
            ( ( perm_n336613537reeRes @ SV183 @ ( SY1492 @ SY1493 ) )
            = ( perm_n1446290985reeRes @ SV183 @ SY1492 @ ( perm_n336613537reeRes @ SV183 @ SY1493 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1004]) ).

thf(1303,plain,
    ! [SV184: list_P227219501e_name] :
      ( ( ! [SY1494: pi_Rep > late_freeRes,SY1495: pi_Rep] :
            ( ( perm_n336613537reeRes @ SV184 @ ( SY1494 @ SY1495 ) )
            = ( perm_n1841560599reeRes @ SV184 @ SY1494 @ ( perm_name_pi_Rep @ SV184 @ SY1495 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1005]) ).

thf(1304,plain,
    ! [SV185: list_P227219501e_name] :
      ( ( ! [SY1496: name > late_freeRes,SY1497: name] :
            ( ( perm_n336613537reeRes @ SV185 @ ( SY1496 @ SY1497 ) )
            = ( perm_n382765978reeRes @ SV185 @ SY1496 @ ( perm_name_name @ SV185 @ SY1497 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1006]) ).

thf(1305,plain,
    ! [SV186: list_P227219501e_name] :
      ( ( ! [SY1498: late_subject,SY1499: late_subject] :
            ( ( perm_name_o @ SV186 @ ( SY1498 = SY1499 ) )
            = ( ( perm_n1559866809ubject @ SV186 @ SY1498 )
              = ( perm_n1559866809ubject @ SV186 @ SY1499 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1007]) ).

thf(1306,plain,
    ! [SV187: list_P227219501e_name] :
      ( ( ! [SY1500: late_freeRes,SY1501: late_freeRes] :
            ( ( perm_name_o @ SV187 @ ( SY1500 = SY1501 ) )
            = ( ( perm_n336613537reeRes @ SV187 @ SY1500 )
              = ( perm_n336613537reeRes @ SV187 @ SY1501 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1008]) ).

thf(1307,plain,
    ! [SV188: list_P227219501e_name] :
      ( ( ! [SY1502: pi_Rep,SY1503: pi_Rep] :
            ( ( perm_name_o @ SV188 @ ( SY1502 = SY1503 ) )
            = ( ( perm_name_pi_Rep @ SV188 @ SY1502 )
              = ( perm_name_pi_Rep @ SV188 @ SY1503 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1009]) ).

thf(1308,plain,
    ! [SV189: list_P227219501e_name] :
      ( ( ! [SY1504: name,SY1505: name] :
            ( ( perm_name_o @ SV189 @ ( SY1504 = SY1505 ) )
            = ( ( perm_name_name @ SV189 @ SY1504 )
              = ( perm_name_name @ SV189 @ SY1505 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1010]) ).

thf(1309,plain,
    ! [SV190: pi] :
      ( ( ! [SY1506: name,SY1507: name,SY1508: pi,SY1509: pi] :
            ( ~ ( late_transitions @ SV190 @ ( late_BoundR @ ( late_BoundOutputS @ SY1506 ) @ SY1507 @ SY1508 ) )
            | ! [SY1510: name,SY1511: pi] :
                ( ~ ( late_transitions @ SY1509 @ ( late_BoundR @ ( late_InputS @ SY1506 ) @ SY1510 @ SY1511 ) )
                | ~ ( fresh_name_pi @ SY1510 @ SV190 )
                | ~ ( fresh_name_pi @ SY1510 @ SY1509 )
                | ~ ( fresh_name_pi @ SY1507 @ SV190 )
                | ~ ( fresh_name_pi @ SY1507 @ SY1509 )
                | ( SY1510 = SY1506 )
                | ~ ( fresh_name_pi @ SY1510 @ SY1508 )
                | ( SY1507 = SY1506 )
                | ~ ( fresh_name_pi @ SY1507 @ SY1511 )
                | ( SY1510 = SY1507 )
                | ( late_transitions @ ( par @ SV190 @ SY1509 ) @ ( late_FreeR @ late_TauR @ ( res @ SY1507 @ ( par @ SY1508 @ ( subs @ SY1511 @ SY1510 @ SY1507 ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1011]) ).

thf(1310,plain,
    ! [SV191: pi] :
      ( ( ! [SY1512: name,SY1513: name,SY1514: pi,SY1515: pi] :
            ( ~ ( late_transitions @ SV191 @ ( late_BoundR @ ( late_InputS @ SY1512 ) @ SY1513 @ SY1514 ) )
            | ! [SY1516: name,SY1517: pi] :
                ( ~ ( late_transitions @ SY1515 @ ( late_BoundR @ ( late_BoundOutputS @ SY1512 ) @ SY1516 @ SY1517 ) )
                | ~ ( fresh_name_pi @ SY1513 @ SV191 )
                | ~ ( fresh_name_pi @ SY1513 @ SY1515 )
                | ~ ( fresh_name_pi @ SY1516 @ SV191 )
                | ~ ( fresh_name_pi @ SY1516 @ SY1515 )
                | ( SY1513 = SY1512 )
                | ~ ( fresh_name_pi @ SY1513 @ SY1517 )
                | ( SY1516 = SY1512 )
                | ~ ( fresh_name_pi @ SY1516 @ SY1514 )
                | ( SY1513 = SY1516 )
                | ( late_transitions @ ( par @ SV191 @ SY1515 ) @ ( late_FreeR @ late_TauR @ ( res @ SY1516 @ ( par @ ( subs @ SY1514 @ SY1513 @ SY1516 ) @ SY1517 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1012]) ).

thf(1311,plain,
    ! [SV192: pi] :
      ( ( ! [SY1518: name,SY1519: name,SY1520: pi,SY1521: pi] :
            ( ~ ( late_transitions @ SV192 @ ( late_BoundR @ ( late_BoundOutputS @ SY1518 ) @ SY1519 @ SY1520 ) )
            | ! [SY1522: name,SY1523: pi] :
                ( ~ ( late_transitions @ SY1521 @ ( late_BoundR @ ( late_InputS @ SY1518 ) @ SY1522 @ SY1523 ) )
                | ~ ( fresh_name_pi @ SY1519 @ SY1521 )
                | ( late_transitions @ ( par @ SV192 @ SY1521 ) @ ( late_FreeR @ late_TauR @ ( res @ SY1519 @ ( par @ SY1520 @ ( subs @ SY1523 @ SY1522 @ SY1519 ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1013]) ).

thf(1312,plain,
    ! [SV193: pi] :
      ( ( ! [SY1524: name,SY1525: name,SY1526: pi,SY1527: pi] :
            ( ~ ( late_transitions @ SV193 @ ( late_BoundR @ ( late_InputS @ SY1524 ) @ SY1525 @ SY1526 ) )
            | ! [SY1528: name,SY1529: pi] :
                ( ~ ( late_transitions @ SY1527 @ ( late_BoundR @ ( late_BoundOutputS @ SY1524 ) @ SY1528 @ SY1529 ) )
                | ~ ( fresh_name_pi @ SY1528 @ SV193 )
                | ( late_transitions @ ( par @ SV193 @ SY1527 ) @ ( late_FreeR @ late_TauR @ ( res @ SY1528 @ ( par @ ( subs @ SY1526 @ SY1525 @ SY1528 ) @ SY1529 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1014]) ).

thf(1313,plain,
    ! [SV194: pi] :
      ( ( ! [SY1530: name,SY1531: name,SY1532: pi,SY1533: pi] :
            ( ~ ( late_transitions @ SV194 @ ( late_FreeR @ ( late_OutputR @ SY1530 @ SY1531 ) @ SY1532 ) )
            | ! [SY1534: name,SY1535: pi] :
                ( ~ ( late_transitions @ SY1533 @ ( late_BoundR @ ( late_InputS @ SY1530 ) @ SY1534 @ SY1535 ) )
                | ~ ( fresh_name_pi @ SY1534 @ SV194 )
                | ~ ( fresh_name_pi @ SY1534 @ SY1533 )
                | ( SY1534 = SY1530 )
                | ( SY1534 = SY1531 )
                | ~ ( fresh_name_pi @ SY1534 @ SY1532 )
                | ( late_transitions @ ( par @ SV194 @ SY1533 ) @ ( late_FreeR @ late_TauR @ ( par @ SY1532 @ ( subs @ SY1535 @ SY1534 @ SY1531 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1015]) ).

thf(1314,plain,
    ! [SV195: pi] :
      ( ( ! [SY1536: name,SY1537: name,SY1538: pi,SY1539: pi] :
            ( ~ ( late_transitions @ SV195 @ ( late_BoundR @ ( late_InputS @ SY1536 ) @ SY1537 @ SY1538 ) )
            | ! [SY1540: name,SY1541: pi] :
                ( ~ ( late_transitions @ SY1539 @ ( late_FreeR @ ( late_OutputR @ SY1536 @ SY1540 ) @ SY1541 ) )
                | ~ ( fresh_name_pi @ SY1537 @ SV195 )
                | ~ ( fresh_name_pi @ SY1537 @ SY1539 )
                | ( SY1537 = SY1536 )
                | ( SY1537 = SY1540 )
                | ~ ( fresh_name_pi @ SY1537 @ SY1541 )
                | ( late_transitions @ ( par @ SV195 @ SY1539 ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ SY1538 @ SY1537 @ SY1540 ) @ SY1541 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1016]) ).

thf(1315,plain,
    ! [SV196: pi] :
      ( ( ! [SY1542: name,SY1543: name,SY1544: pi,SY1545: pi] :
            ( ~ ( late_transitions @ SV196 @ ( late_FreeR @ ( late_OutputR @ SY1542 @ SY1543 ) @ SY1544 ) )
            | ! [SY1546: name,SY1547: pi] :
                ( ~ ( late_transitions @ SY1545 @ ( late_BoundR @ ( late_InputS @ SY1542 ) @ SY1546 @ SY1547 ) )
                | ( late_transitions @ ( par @ SV196 @ SY1545 ) @ ( late_FreeR @ late_TauR @ ( par @ SY1544 @ ( subs @ SY1547 @ SY1546 @ SY1543 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1017]) ).

thf(1316,plain,
    ! [SV197: pi] :
      ( ( ! [SY1548: name,SY1549: name,SY1550: pi,SY1551: pi] :
            ( ~ ( late_transitions @ SV197 @ ( late_BoundR @ ( late_InputS @ SY1548 ) @ SY1549 @ SY1550 ) )
            | ! [SY1552: name,SY1553: pi] :
                ( ~ ( late_transitions @ SY1551 @ ( late_FreeR @ ( late_OutputR @ SY1548 @ SY1552 ) @ SY1553 ) )
                | ( late_transitions @ ( par @ SV197 @ SY1551 ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ SY1550 @ SY1549 @ SY1552 ) @ SY1553 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1018]) ).

thf(1317,plain,
    ! [SV198: name] :
      ( ( fresh_1641682979reeRes @ SV198 @ late_TauR )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1021]) ).

thf(1318,plain,
    ! [SV199: list_P227219501e_name] :
      ( ( ( perm_n336613537reeRes @ SV199 @ late_TauR )
        = late_TauR )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1022]) ).

thf(1319,plain,
    ! [SV200: list_P227219501e_name] :
      ( ( ! [SY1554: late_freeRes,SY1555: pi] :
            ( ( perm_n414416632sidual @ SV200 @ ( late_FreeR @ SY1554 @ SY1555 ) )
            = ( late_FreeR @ ( perm_n336613537reeRes @ SV200 @ SY1554 ) @ ( perm_name_pi @ SV200 @ SY1555 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1024]) ).

thf(1320,plain,
    ! [SV201: list_P227219501e_name] :
      ( ( ! [SY1556: name,SY1557: name] :
            ( ( perm_n336613537reeRes @ SV201 @ ( late_OutputR @ SY1556 @ SY1557 ) )
            = ( late_OutputR @ ( perm_name_name @ SV201 @ SY1556 ) @ ( perm_name_name @ SV201 @ SY1557 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1025]) ).

thf(1321,plain,
    ! [SV202: list_P227219501e_name] :
      ( ( ! [SY1558: name] :
            ( ( perm_n1559866809ubject @ SV202 @ ( late_InputS @ SY1558 ) )
            = ( late_InputS @ ( perm_name_name @ SV202 @ SY1558 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1026]) ).

thf(1322,plain,
    ! [SV203: name] :
      ( ( ! [SY1559: name] :
            ( ( fresh_717452603ubject @ SV203 @ ( late_InputS @ SY1559 ) )
            = ( fresh_name_name @ SV203 @ SY1559 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1027]) ).

thf(1323,plain,
    ! [SV204: list_P227219501e_name] :
      ( ( ! [SY1560: late_subject,SY1561: name,SY1562: pi] :
            ( ( perm_n414416632sidual @ SV204 @ ( late_BoundR @ SY1560 @ SY1561 @ SY1562 ) )
            = ( late_BoundR @ ( perm_n1559866809ubject @ SV204 @ SY1560 ) @ ( perm_name_name @ SV204 @ SY1561 ) @ ( perm_name_pi @ SV204 @ SY1562 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1028]) ).

thf(1324,plain,
    ! [SV205: list_P227219501e_name] :
      ( ( ! [SY1563: name,SY1564: name] :
            ( ( ( perm_name_name @ SV205 @ SY1563 )
              = ( perm_name_name @ SV205 @ SY1564 ) )
            = ( SY1563 = SY1564 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1029]) ).

thf(1325,plain,
    ! [SV206: pi] :
      ( ( ! [SY1565: late_freeRes] :
            ( ! [SY1566: pi] :
                ~ ( late_transitions @ SV206 @ ( late_FreeR @ SY1565 @ SY1566 ) )
            | ! [SY1567: name] :
                ( ~ ( fresh_name_pi @ SY1567 @ SV206 )
                | ( fresh_1641682979reeRes @ SY1567 @ SY1565 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1030]) ).

thf(1326,plain,
    ! [SV207: late_freeRes > $o] :
      ( ( ~ ( SV207 @ ( late_OutputR @ ( sK62_Name1 @ SV207 ) @ ( sK63_SY1045 @ SV207 ) ) )
        | ~ ( SV207 @ late_TauR )
        | ! [SY1568: late_freeRes] : ( SV207 @ SY1568 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1034]) ).

thf(1327,plain,
    ! [SV208: name] :
      ( ( ! [SY1569: name] :
            ( ( late_OutputR @ SV208 @ SY1569 )
           != late_TauR ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1035]) ).

thf(1328,plain,
    ! [SV209: pi] :
      ( ( ! [SY1570: pi,SY1571: late_subject,SY1572: name,SY1573: set_Pr1834926343_pi_pi] :
            ( ~ ( strong2129052853vative @ SV209 @ SY1570 @ SY1571 @ SY1572 @ SY1573 )
            | ~ ( eqvt_pi @ SY1573 )
            | ! [SY1574: list_P227219501e_name] : ( strong2129052853vative @ ( perm_name_pi @ SY1574 @ SV209 ) @ ( perm_name_pi @ SY1574 @ SY1570 ) @ ( perm_n1559866809ubject @ SY1574 @ SY1571 ) @ ( perm_name_name @ SY1574 @ SY1572 ) @ SY1573 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1045]) ).

thf(1329,plain,
    ( ( ! [SV210: name] :
          ( ( fresh_name_name @ SV210 )
          = ( ^ [SY1575: name] : ( SV210 != SY1575 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1047]) ).

thf(1330,plain,
    ( ( fresh_name_name
      = ( ^ [A4: name,B3: name] : ( A4 != B3 ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1047]) ).

thf(1331,plain,
    ! [SV211: name] :
      ( ( fresh_1143631827t_unit @ SV211 @ product_Unity )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1048]) ).

thf(1332,plain,
    ! [SV212: name] :
      ( ( fresh_1143631827t_unit @ SV212 @ product_Unity )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1049]) ).

thf(1333,plain,
    ! [SV213: late_subject] :
      ( ( ! [SY1576: late_subject] :
            ( ( SV213 != SY1576 )
            | ! [SY1577: list_P227219501e_name] :
                ( ( perm_n1559866809ubject @ SY1577 @ SV213 )
                = ( perm_n1559866809ubject @ SY1577 @ SY1576 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1054]) ).

thf(1334,plain,
    ! [SV214: late_freeRes] :
      ( ( ! [SY1578: late_freeRes] :
            ( ( SV214 != SY1578 )
            | ! [SY1579: list_P227219501e_name] :
                ( ( perm_n336613537reeRes @ SY1579 @ SV214 )
                = ( perm_n336613537reeRes @ SY1579 @ SY1578 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1055]) ).

thf(1335,plain,
    ! [SV215: pi_Rep] :
      ( ( ! [SY1580: pi_Rep] :
            ( ( SV215 != SY1580 )
            | ! [SY1581: list_P227219501e_name] :
                ( ( perm_name_pi_Rep @ SY1581 @ SV215 )
                = ( perm_name_pi_Rep @ SY1581 @ SY1580 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1056]) ).

thf(1336,plain,
    ! [SV216: name] :
      ( ( ! [SY1582: name] :
            ( ( SV216 != SY1582 )
            | ! [SY1583: list_P227219501e_name] :
                ( ( perm_name_name @ SY1583 @ SV216 )
                = ( perm_name_name @ SY1583 @ SY1582 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1057]) ).

thf(1337,plain,
    ! [SV217: name] :
      ( ( ! [SY1584: name] :
            ( ! [SY1585: product_prod_pi_pi] :
                ~ ( fresh_1376661020_pi_pi @ SV217 @ ( produc235456326_pi_pi @ SY1584 @ SY1585 ) )
            | ( fresh_name_name @ SV217 @ SY1584 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1058]) ).

thf(1338,plain,
    ! [SV218: name] :
      ( ( ! [SY1586: name] :
            ( ( ( late_InputS @ SV218 )
              = ( late_InputS @ SY1586 ) )
            = ( SV218 = SY1586 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1063]) ).

thf(1339,plain,
    ! [SV219: name] :
      ( ( ! [SY1587: name] :
            ( ( late_OutputR @ SV219 @ SY1587 )
           != late_TauR ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1065]) ).

thf(1340,plain,
    ! [SV220: late_freeRes] :
      ( ( ( SV220
          = ( late_OutputR @ ( sK1_X112 @ SV220 ) @ ( sK2_SY971 @ SV220 ) ) )
        | ( SV220 = late_TauR ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1066]) ).

thf(1341,plain,
    ! [SV221: product_unit > $o] :
      ( ( ~ ( SV221 @ product_Unity )
        | ! [SY1588: product_unit] : ( SV221 @ SY1588 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1068]) ).

thf(1342,plain,
    ! [SV222: product_unit] :
      ( ( SV222 = product_Unity )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1069]) ).

thf(1343,plain,
    ( ( ! [SV223: produc367475239e_name] :
          ( ( swap_name2 @ SV223 )
          = ( swap_name @ SV223 ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1071]) ).

thf(1344,plain,
    ( ( swap_name2 = swap_name )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1071]) ).

thf(1345,plain,
    ! [SV224: name] :
      ( ( ! [SY1589: name,SY1590: pi] :
            ( ( fresh_name_pi @ SV224 @ ( res @ SY1589 @ SY1590 ) )
            = ( fresh_543891186ion_pi @ SV224 @ ( abs_fun_name_pi @ SY1589 @ SY1590 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1072]) ).

thf(1346,plain,
    ! [SV225: pi] :
      ( ( ! [SY1591: pi] :
            ( ( if_pi @ $false @ SV225 @ SY1591 )
            = SY1591 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1073]) ).

thf(1347,plain,
    ! [SV226: pi] :
      ( ( ! [SY1592: pi] :
            ( ( if_pi @ $true @ SV226 @ SY1592 )
            = SV226 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1074]) ).

thf(1348,plain,
    ! [SV227: pi] :
      ( ( ~ ( late_transitions @ ( par @ p @ ( res @ x @ q ) ) @ ( late_BoundR @ ( late_BoundOutputS @ ab ) @ y @ SV227 ) )
        | ~ ( strong2129052853vative @ SV227 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ ( par @ ( subs @ p2 @ ya @ c ) @ q2 ) ) @ ( late_BoundOutputS @ ab ) @ y @ rel ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1075]) ).

thf(1349,plain,
    ! [SV228: pi > late_residual > $o] :
      ( ( ~ ( ~ ( fresh_name_pi @ ( sK35_SY1011 @ SV228 ) @ ( sK37_SY1016 @ SV228 ) )
            | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK35_SY1011 @ SV228 ) @ ( sK34_Subject2 @ SV228 ) )
                  | ~ ~ ( SV228 @ ( sK37_SY1016 @ SV228 ) @ ( late_BoundR @ ( sK34_Subject2 @ SV228 ) @ ( sK35_SY1011 @ SV228 ) @ ( sK36_SY1014 @ SV228 ) ) ) ) )
        | ~ ( SV228 @ ( sK33_SY1010 @ SV228 ) @ ( late_FreeR @ ( sK31_FreeRes2 @ SV228 ) @ ( sK32_SY1008 @ SV228 ) ) )
        | ! [SY1593: pi,SY1594: late_residual] : ( SV228 @ SY1593 @ SY1594 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1076]) ).

thf(1350,plain,
    ! [SV229: pi] :
      ( ( ! [SY1595: pi,SY1596: late_subject,SY1597: name,SY1598: pi] :
            ( ~ ( late_transitions @ ( par @ SV229 @ SY1595 ) @ ( late_BoundR @ SY1596 @ SY1597 @ SY1598 ) )
            | ~ ( ( ( par @ SV229 @ SY1595 )
                 != ( par @ ( sK108_P5 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) @ ( sK112_SY1107 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) ) )
                | ~ ~ ( ( ( late_BoundR @ SY1596 @ SY1597 @ SY1598 )
                       != ( late_BoundR @ ( sK109_SY1098 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) @ ( sK110_SY1102 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) @ ( sK112_SY1107 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) ) ) )
                      | ~ ~ ( ~ ( late_transitions @ ( sK108_P5 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) @ ( sK110_SY1102 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) @ ( sK111_SY1105 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) @ ( sK108_P5 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) )
                                  | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) @ ( sK112_SY1107 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) )
                                        | ~ ( fresh_717452603ubject @ ( sK110_SY1102 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) @ ( sK109_SY1098 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) ) ) ) ) ) )
            | ~ ( ( ( par @ SV229 @ SY1595 )
                 != ( par @ ( sK107_SY1097 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) @ ( sK103_Q3 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) ) )
                | ~ ~ ( ( ( late_BoundR @ SY1596 @ SY1597 @ SY1598 )
                       != ( late_BoundR @ ( sK104_SY1088 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) @ ( sK105_SY1092 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) @ ( sK106_SY1095 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) ) ) )
                      | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) @ ( sK105_SY1092 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) @ ( sK106_SY1095 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) @ ( sK107_SY1097 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) )
                                  | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) @ ( sK103_Q3 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) )
                                        | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) @ ( sK104_SY1088 @ SY1598 @ SY1597 @ SY1596 @ SY1595 @ SV229 ) ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1077]) ).

thf(1351,plain,
    ! [SV230: pi] :
      ( ( ! [SY1599: pi,SY1600: late_subject,SY1601: name,SY1602: pi] :
            ( ~ ( late_transitions @ ( par @ SV230 @ SY1599 ) @ ( late_BoundR @ SY1600 @ SY1601 @ SY1602 ) )
            | ~ ( fresh_name_pi @ SY1601 @ SV230 )
            | ~ ( fresh_name_pi @ SY1601 @ SY1599 )
            | ! [SY1603: pi > $o] :
                ( ~ ( ~ ( late_transitions @ SV230 @ ( late_BoundR @ SY1600 @ SY1601 @ ( sK95_P4 @ SY1603 @ SY1602 @ SY1601 @ SY1600 @ SY1599 @ SV230 ) ) )
                    | ~ ~ ( SY1603 @ ( par @ ( sK95_P4 @ SY1603 @ SY1602 @ SY1601 @ SY1600 @ SY1599 @ SV230 ) @ SY1599 ) ) )
                | ~ ( ~ ( late_transitions @ SY1599 @ ( late_BoundR @ SY1600 @ SY1601 @ ( sK94_Q4 @ SY1603 @ SY1602 @ SY1601 @ SY1600 @ SY1599 @ SV230 ) ) )
                    | ~ ~ ( SY1603 @ ( par @ SV230 @ ( sK94_Q4 @ SY1603 @ SY1602 @ SY1601 @ SY1600 @ SY1599 @ SV230 ) ) ) )
                | ( SY1603 @ SY1602 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1078]) ).

thf(1352,plain,
    ! [SV231: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ~ ( ~ ( fresh_1376661020_pi_pi @ ( sK21_SY993 @ SV231 ) @ ( sK23_SY998 @ SV231 ) )
            | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK21_SY993 @ SV231 ) @ ( sK20_Subject2 @ SV231 ) )
                  | ~ ~ ( SV231 @ ( sK23_SY998 @ SV231 ) @ ( late_BoundR @ ( sK20_Subject2 @ SV231 ) @ ( sK21_SY993 @ SV231 ) @ ( sK22_SY996 @ SV231 ) ) ) ) )
        | ~ ( SV231 @ ( sK19_SY992 @ SV231 ) @ ( late_FreeR @ ( sK17_FreeRes2 @ SV231 ) @ ( sK18_SY990 @ SV231 ) ) )
        | ! [SY1604: produc1141751126_pi_pi,SY1605: late_residual] : ( SV231 @ SY1604 @ SY1605 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1079]) ).

thf(1353,plain,
    ! [SV232: name] :
      ( ( ! [SY1606: pi,SY1607: late_subject,SY1608: name,SY1609: pi] :
            ( ~ ( late_transitions @ ( res @ SV232 @ SY1606 ) @ ( late_BoundR @ SY1607 @ SY1608 @ SY1609 ) )
            | ~ ( ( ( res @ SV232 @ SY1606 )
                 != ( res @ ( sK71_SY1059 @ SY1609 @ SY1608 @ SY1607 @ SY1606 @ SV232 ) @ ( sK69_P5 @ SY1609 @ SY1608 @ SY1607 @ SY1606 @ SV232 ) ) )
                | ~ ~ ( ( ( late_BoundR @ SY1607 @ SY1608 @ SY1609 )
                       != ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SY1609 @ SY1608 @ SY1607 @ SY1606 @ SV232 ) ) @ ( sK71_SY1059 @ SY1609 @ SY1608 @ SY1607 @ SY1606 @ SV232 ) @ ( sK72_SY1061 @ SY1609 @ SY1608 @ SY1607 @ SY1606 @ SV232 ) ) )
                      | ~ ~ ( ~ ( late_transitions @ ( sK69_P5 @ SY1609 @ SY1608 @ SY1607 @ SY1606 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SY1609 @ SY1608 @ SY1607 @ SY1606 @ SV232 ) @ ( sK71_SY1059 @ SY1609 @ SY1608 @ SY1607 @ SY1606 @ SV232 ) ) @ ( sK72_SY1061 @ SY1609 @ SY1608 @ SY1607 @ SY1606 @ SV232 ) ) )
                            | ~ ( ( ( sK70_SY1056 @ SY1609 @ SY1608 @ SY1607 @ SY1606 @ SV232 )
                                 != ( sK71_SY1059 @ SY1609 @ SY1608 @ SY1607 @ SY1606 @ SV232 ) ) ) ) ) )
            | ~ ( ( ( res @ SV232 @ SY1606 )
                 != ( res @ ( sK68_SY1055 @ SY1609 @ SY1608 @ SY1607 @ SY1606 @ SV232 ) @ ( sK64_P5 @ SY1609 @ SY1608 @ SY1607 @ SY1606 @ SV232 ) ) )
                | ~ ~ ( ( ( late_BoundR @ SY1607 @ SY1608 @ SY1609 )
                       != ( late_BoundR @ ( sK65_SY1046 @ SY1609 @ SY1608 @ SY1607 @ SY1606 @ SV232 ) @ ( sK66_SY1050 @ SY1609 @ SY1608 @ SY1607 @ SY1606 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SY1609 @ SY1608 @ SY1607 @ SY1606 @ SV232 ) @ ( sK67_SY1053 @ SY1609 @ SY1608 @ SY1607 @ SY1606 @ SV232 ) ) ) )
                      | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SY1609 @ SY1608 @ SY1607 @ SY1606 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SY1609 @ SY1608 @ SY1607 @ SY1606 @ SV232 ) @ ( sK66_SY1050 @ SY1609 @ SY1608 @ SY1607 @ SY1606 @ SV232 ) @ ( sK67_SY1053 @ SY1609 @ SY1608 @ SY1607 @ SY1606 @ SV232 ) ) )
                            | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SY1609 @ SY1608 @ SY1607 @ SY1606 @ SV232 ) @ ( sK65_SY1046 @ SY1609 @ SY1608 @ SY1607 @ SY1606 @ SV232 ) )
                                  | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SY1609 @ SY1608 @ SY1607 @ SY1606 @ SV232 )
                                             != ( sK66_SY1050 @ SY1609 @ SY1608 @ SY1607 @ SY1606 @ SV232 ) ) )
                                        | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SY1609 @ SY1608 @ SY1607 @ SY1606 @ SV232 ) @ ( sK64_P5 @ SY1609 @ SY1608 @ SY1607 @ SY1606 @ SV232 ) )
                                              | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SY1609 @ SY1608 @ SY1607 @ SY1606 @ SV232 ) @ ( sK65_SY1046 @ SY1609 @ SY1608 @ SY1607 @ SY1606 @ SV232 ) ) ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1080]) ).

thf(1354,plain,
    ! [SV233: $o] :
      ( ( ! [SY1610: list_P227219501e_name] :
            ~ ( ~ ( ~ SV233
                  | ! [SY1611: late_freeRes,SY1612: late_freeRes] :
                      ( ( perm_n336613537reeRes @ SY1610 @ ( if_Late_freeRes @ SV233 @ SY1611 @ SY1612 ) )
                      = ( perm_n336613537reeRes @ SY1610 @ SY1611 ) ) )
              | ~ ( SV233
                  | ! [SY1613: late_freeRes,SY1614: late_freeRes] :
                      ( ( perm_n336613537reeRes @ SY1610 @ ( if_Late_freeRes @ SV233 @ SY1613 @ SY1614 ) )
                      = ( perm_n336613537reeRes @ SY1610 @ SY1614 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1081]) ).

thf(1355,plain,
    ( ( ! [SX0: list_P227219501e_name] :
          ~ ( ~ ( ~ $true
                | ! [SX1: late_freeRes,SX2: late_freeRes] :
                    ( ( perm_n336613537reeRes @ SX0 @ ( if_Late_freeRes @ $true @ SX1 @ SX2 ) )
                    = ( perm_n336613537reeRes @ SX0 @ SX1 ) ) )
            | ~ ( $true
                | ! [SX1: late_freeRes,SX2: late_freeRes] :
                    ( ( perm_n336613537reeRes @ SX0 @ ( if_Late_freeRes @ $true @ SX1 @ SX2 ) )
                    = ( perm_n336613537reeRes @ SX0 @ SX2 ) ) ) ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1081]) ).

thf(1356,plain,
    ( ( ! [SX0: list_P227219501e_name] :
          ~ ( ~ ( ~ $false
                | ! [SX1: late_freeRes,SX2: late_freeRes] :
                    ( ( perm_n336613537reeRes @ SX0 @ ( if_Late_freeRes @ $false @ SX1 @ SX2 ) )
                    = ( perm_n336613537reeRes @ SX0 @ SX1 ) ) )
            | ~ ( $false
                | ! [SX1: late_freeRes,SX2: late_freeRes] :
                    ( ( perm_n336613537reeRes @ SX0 @ ( if_Late_freeRes @ $false @ SX1 @ SX2 ) )
                    = ( perm_n336613537reeRes @ SX0 @ SX2 ) ) ) ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1081]) ).

thf(1357,plain,
    ! [SV234: name] :
      ( ( ! [SY1615: late_freeRes,SY1616: pi] :
            ( ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SY1615 @ SY1616 ) )
            = ( ~ ( ~ ( fresh_1641682979reeRes @ SV234 @ SY1615 )
                  | ~ ( fresh_name_pi @ SV234 @ SY1616 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1082]) ).

thf(1358,plain,
    ! [SV235: $o] :
      ( ( ! [SY1617: list_P227219501e_name] :
            ~ ( ~ ( ~ SV235
                  | ! [SY1618: pi,SY1619: pi] :
                      ( ( perm_name_pi @ SY1617 @ ( if_pi @ SV235 @ SY1618 @ SY1619 ) )
                      = ( perm_name_pi @ SY1617 @ SY1618 ) ) )
              | ~ ( SV235
                  | ! [SY1620: pi,SY1621: pi] :
                      ( ( perm_name_pi @ SY1617 @ ( if_pi @ SV235 @ SY1620 @ SY1621 ) )
                      = ( perm_name_pi @ SY1617 @ SY1621 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1083]) ).

thf(1359,plain,
    ( ( ! [SX0: list_P227219501e_name] :
          ~ ( ~ ( ~ $true
                | ! [SX1: pi,SX2: pi] :
                    ( ( perm_name_pi @ SX0 @ ( if_pi @ $true @ SX1 @ SX2 ) )
                    = ( perm_name_pi @ SX0 @ SX1 ) ) )
            | ~ ( $true
                | ! [SX1: pi,SX2: pi] :
                    ( ( perm_name_pi @ SX0 @ ( if_pi @ $true @ SX1 @ SX2 ) )
                    = ( perm_name_pi @ SX0 @ SX2 ) ) ) ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1083]) ).

thf(1360,plain,
    ( ( ! [SX0: list_P227219501e_name] :
          ~ ( ~ ( ~ $false
                | ! [SX1: pi,SX2: pi] :
                    ( ( perm_name_pi @ SX0 @ ( if_pi @ $false @ SX1 @ SX2 ) )
                    = ( perm_name_pi @ SX0 @ SX1 ) ) )
            | ~ ( $false
                | ! [SX1: pi,SX2: pi] :
                    ( ( perm_name_pi @ SX0 @ ( if_pi @ $false @ SX1 @ SX2 ) )
                    = ( perm_name_pi @ SX0 @ SX2 ) ) ) ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1083]) ).

thf(1361,plain,
    ! [SV236: name] :
      ( ( ! [SY1622: pi,SY1623: late_residual] :
            ( ~ ( late_transitions @ ( res @ SV236 @ SY1622 ) @ SY1623 )
            | ~ ( ( ( res @ SV236 @ SY1622 )
                 != ( res @ ( sK84_SY1081 @ SY1623 @ SY1622 @ SV236 ) @ ( sK82_P5 @ SY1623 @ SY1622 @ SV236 ) ) )
                | ~ ~ ( ( SY1623
                       != ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SY1623 @ SY1622 @ SV236 ) ) @ ( sK84_SY1081 @ SY1623 @ SY1622 @ SV236 ) @ ( sK85_SY1083 @ SY1623 @ SY1622 @ SV236 ) ) )
                      | ~ ~ ( ~ ( late_transitions @ ( sK82_P5 @ SY1623 @ SY1622 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SY1623 @ SY1622 @ SV236 ) @ ( sK84_SY1081 @ SY1623 @ SY1622 @ SV236 ) ) @ ( sK85_SY1083 @ SY1623 @ SY1622 @ SV236 ) ) )
                            | ~ ( ( ( sK83_SY1078 @ SY1623 @ SY1622 @ SV236 )
                                 != ( sK84_SY1081 @ SY1623 @ SY1622 @ SV236 ) ) ) ) ) )
            | ~ ( ( ( res @ SV236 @ SY1622 )
                 != ( res @ ( sK81_SY1077 @ SY1623 @ SY1622 @ SV236 ) @ ( sK77_P5 @ SY1623 @ SY1622 @ SV236 ) ) )
                | ~ ~ ( ( SY1623
                       != ( late_BoundR @ ( sK78_SY1068 @ SY1623 @ SY1622 @ SV236 ) @ ( sK79_SY1072 @ SY1623 @ SY1622 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SY1623 @ SY1622 @ SV236 ) @ ( sK80_SY1075 @ SY1623 @ SY1622 @ SV236 ) ) ) )
                      | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SY1623 @ SY1622 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SY1623 @ SY1622 @ SV236 ) @ ( sK79_SY1072 @ SY1623 @ SY1622 @ SV236 ) @ ( sK80_SY1075 @ SY1623 @ SY1622 @ SV236 ) ) )
                            | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SY1623 @ SY1622 @ SV236 ) @ ( sK78_SY1068 @ SY1623 @ SY1622 @ SV236 ) )
                                  | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SY1623 @ SY1622 @ SV236 )
                                             != ( sK79_SY1072 @ SY1623 @ SY1622 @ SV236 ) ) )
                                        | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SY1623 @ SY1622 @ SV236 ) @ ( sK77_P5 @ SY1623 @ SY1622 @ SV236 ) )
                                              | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SY1623 @ SY1622 @ SV236 ) @ ( sK78_SY1068 @ SY1623 @ SY1622 @ SV236 ) ) ) ) ) ) ) )
            | ~ ( ( ( res @ SV236 @ SY1622 )
                 != ( res @ ( sK76_SY1067 @ SY1623 @ SY1622 @ SV236 ) @ ( sK73_P5 @ SY1623 @ SY1622 @ SV236 ) ) )
                | ~ ~ ( ( SY1623
                       != ( late_FreeR @ ( sK74_SY1062 @ SY1623 @ SY1622 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SY1623 @ SY1622 @ SV236 ) @ ( sK75_SY1065 @ SY1623 @ SY1622 @ SV236 ) ) ) )
                      | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SY1623 @ SY1622 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SY1623 @ SY1622 @ SV236 ) @ ( sK75_SY1065 @ SY1623 @ SY1622 @ SV236 ) ) )
                            | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SY1623 @ SY1622 @ SV236 ) @ ( sK74_SY1062 @ SY1623 @ SY1622 @ SV236 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1084]) ).

thf(1362,plain,
    ! [SV237: list_P227219501e_name] :
      ( ( ! [SY1624: $o] :
            ~ ( ~ ( ~ ( perm_name_o @ SV237 @ SY1624 )
                  | ! [SY1625: late_freeRes,SY1626: late_freeRes] :
                      ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ SY1624 @ SY1625 @ SY1626 ) )
                      = ( perm_n336613537reeRes @ SV237 @ SY1625 ) ) )
              | ~ ( ( perm_name_o @ SV237 @ SY1624 )
                  | ! [SY1627: late_freeRes,SY1628: late_freeRes] :
                      ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ SY1624 @ SY1627 @ SY1628 ) )
                      = ( perm_n336613537reeRes @ SV237 @ SY1628 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1085]) ).

thf(1363,plain,
    ! [SV238: name] :
      ( ( ! [SY1629: name,SY1630: name] :
            ( ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SY1629 @ SY1630 ) )
            = ( ~ ( ~ ( fresh_name_name @ SV238 @ SY1629 )
                  | ~ ( fresh_name_name @ SV238 @ SY1630 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1086]) ).

thf(1364,plain,
    ! [SV239: list_P227219501e_name] :
      ( ( ! [SY1631: $o] :
            ~ ( ~ ( ~ ( perm_name_o @ SV239 @ SY1631 )
                  | ! [SY1632: pi_Rep,SY1633: pi_Rep] :
                      ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ SY1631 @ SY1632 @ SY1633 ) )
                      = ( perm_name_pi_Rep @ SV239 @ SY1632 ) ) )
              | ~ ( ( perm_name_o @ SV239 @ SY1631 )
                  | ! [SY1634: pi_Rep,SY1635: pi_Rep] :
                      ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ SY1631 @ SY1634 @ SY1635 ) )
                      = ( perm_name_pi_Rep @ SV239 @ SY1635 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1087]) ).

thf(1365,plain,
    ! [SV240: produc367475239e_name] :
      ( ( ! [SY1636: list_P227219501e_name,SY1637: produc367475239e_name,SY1638: list_P227219501e_name] :
            ( ( ( cons_P1213805021e_name @ SV240 @ SY1636 )
              = ( cons_P1213805021e_name @ SY1637 @ SY1638 ) )
            = ( ~ ( ( SV240 != SY1637 )
                  | ( SY1636 != SY1638 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1088]) ).

thf(1366,plain,
    ! [SV241: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ~ ( ~ ( fresh_1376661020_pi_pi @ ( sK49_SY1029 @ SV241 ) @ ( sK51_SY1034 @ SV241 ) )
            | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK49_SY1029 @ SV241 ) @ ( sK48_Subject2 @ SV241 ) )
                  | ~ ~ ( SV241 @ ( sK51_SY1034 @ SV241 ) @ ( late_BoundR @ ( sK48_Subject2 @ SV241 ) @ ( sK49_SY1029 @ SV241 ) @ ( sK50_SY1032 @ SV241 ) ) ) ) )
        | ~ ( SV241 @ ( sK47_SY1028 @ SV241 ) @ ( late_FreeR @ ( sK45_FreeRes2 @ SV241 ) @ ( sK46_SY1026 @ SV241 ) ) )
        | ! [SY1639: produc1141751126_pi_pi,SY1640: late_residual] : ( SV241 @ SY1639 @ SY1640 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1089]) ).

thf(1367,plain,
    ! [SV242: name] :
      ( ( ! [SY1641: pi,SY1642: pi] :
            ( ( fresh_name_pi @ SV242 @ ( par @ SY1641 @ SY1642 ) )
            = ( ~ ( ~ ( fresh_name_pi @ SV242 @ SY1641 )
                  | ~ ( fresh_name_pi @ SV242 @ SY1642 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1090]) ).

thf(1368,plain,
    ! [SV243: name] :
      ( ( ! [SY1643: name,SY1644: name,SY1645: name] :
            ( ( ( late_OutputR @ SV243 @ SY1643 )
              = ( late_OutputR @ SY1644 @ SY1645 ) )
            = ( ~ ( ( SV243 != SY1644 )
                  | ( SY1643 != SY1645 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1091]) ).

thf(1369,plain,
    ! [SV244: product_unit > late_residual > $o] :
      ( ( ~ ( ~ ( fresh_1143631827t_unit @ ( sK56_SY1038 @ SV244 ) @ ( sK58_SY1043 @ SV244 ) )
            | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK56_SY1038 @ SV244 ) @ ( sK55_Subject2 @ SV244 ) )
                  | ~ ~ ( SV244 @ ( sK58_SY1043 @ SV244 ) @ ( late_BoundR @ ( sK55_Subject2 @ SV244 ) @ ( sK56_SY1038 @ SV244 ) @ ( sK57_SY1041 @ SV244 ) ) ) ) )
        | ~ ( SV244 @ ( sK54_SY1037 @ SV244 ) @ ( late_FreeR @ ( sK52_FreeRes2 @ SV244 ) @ ( sK53_SY1035 @ SV244 ) ) )
        | ! [SY1646: product_unit,SY1647: late_residual] : ( SV244 @ SY1646 @ SY1647 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1092]) ).

thf(1370,plain,
    ! [SV245: name > late_residual > $o] :
      ( ( ~ ( ~ ( fresh_name_name @ ( sK14_SY984 @ SV245 ) @ ( sK16_SY989 @ SV245 ) )
            | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK14_SY984 @ SV245 ) @ ( sK13_Subject2 @ SV245 ) )
                  | ~ ~ ( SV245 @ ( sK16_SY989 @ SV245 ) @ ( late_BoundR @ ( sK13_Subject2 @ SV245 ) @ ( sK14_SY984 @ SV245 ) @ ( sK15_SY987 @ SV245 ) ) ) ) )
        | ~ ( SV245 @ ( sK12_SY983 @ SV245 ) @ ( late_FreeR @ ( sK10_FreeRes2 @ SV245 ) @ ( sK11_SY981 @ SV245 ) ) )
        | ! [SY1648: name,SY1649: late_residual] : ( SV245 @ SY1648 @ SY1649 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1093]) ).

thf(1371,plain,
    ! [SV246: name] :
      ( ( ! [SY1650: pi,SY1651: list_pi] :
            ( ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SY1650 @ SY1651 ) )
            = ( ~ ( ~ ( fresh_name_list_pi @ SV246 @ SY1651 )
                  | ~ ( fresh_name_pi @ SV246 @ SY1650 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1094]) ).

thf(1372,plain,
    ! [SV247: $o] :
      ( ( ! [SY1652: list_P227219501e_name] :
            ~ ( ~ ( ~ SV247
                  | ! [SY1653: name,SY1654: name] :
                      ( ( perm_name_name @ SY1652 @ ( if_name @ SV247 @ SY1653 @ SY1654 ) )
                      = ( perm_name_name @ SY1652 @ SY1653 ) ) )
              | ~ ( SV247
                  | ! [SY1655: name,SY1656: name] :
                      ( ( perm_name_name @ SY1652 @ ( if_name @ SV247 @ SY1655 @ SY1656 ) )
                      = ( perm_name_name @ SY1652 @ SY1656 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1095]) ).

thf(1373,plain,
    ( ( ! [SX0: list_P227219501e_name] :
          ~ ( ~ ( ~ $true
                | ! [SX1: name,SX2: name] :
                    ( ( perm_name_name @ SX0 @ ( if_name @ $true @ SX1 @ SX2 ) )
                    = ( perm_name_name @ SX0 @ SX1 ) ) )
            | ~ ( $true
                | ! [SX1: name,SX2: name] :
                    ( ( perm_name_name @ SX0 @ ( if_name @ $true @ SX1 @ SX2 ) )
                    = ( perm_name_name @ SX0 @ SX2 ) ) ) ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1095]) ).

thf(1374,plain,
    ( ( ! [SX0: list_P227219501e_name] :
          ~ ( ~ ( ~ $false
                | ! [SX1: name,SX2: name] :
                    ( ( perm_name_name @ SX0 @ ( if_name @ $false @ SX1 @ SX2 ) )
                    = ( perm_name_name @ SX0 @ SX1 ) ) )
            | ~ ( $false
                | ! [SX1: name,SX2: name] :
                    ( ( perm_name_name @ SX0 @ ( if_name @ $false @ SX1 @ SX2 ) )
                    = ( perm_name_name @ SX0 @ SX2 ) ) ) ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1095]) ).

thf(1375,plain,
    ! [SV248: list_P227219501e_name] :
      ( ( ! [SY1657: $o] :
            ~ ( ~ ( ~ ( perm_name_o @ SV248 @ SY1657 )
                  | ! [SY1658: late_subject,SY1659: late_subject] :
                      ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ SY1657 @ SY1658 @ SY1659 ) )
                      = ( perm_n1559866809ubject @ SV248 @ SY1658 ) ) )
              | ~ ( ( perm_name_o @ SV248 @ SY1657 )
                  | ! [SY1660: late_subject,SY1661: late_subject] :
                      ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ SY1657 @ SY1660 @ SY1661 ) )
                      = ( perm_n1559866809ubject @ SV248 @ SY1661 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1096]) ).

thf(1376,plain,
    ! [SV249: list_P227219501e_name] :
      ( ( ! [SY1662: $o] :
            ~ ( ~ ( ~ ( perm_name_o @ SV249 @ SY1662 )
                  | ! [SY1663: pi,SY1664: pi] :
                      ( ( perm_name_pi @ SV249 @ ( if_pi @ SY1662 @ SY1663 @ SY1664 ) )
                      = ( perm_name_pi @ SV249 @ SY1663 ) ) )
              | ~ ( ( perm_name_o @ SV249 @ SY1662 )
                  | ! [SY1665: pi,SY1666: pi] :
                      ( ( perm_name_pi @ SV249 @ ( if_pi @ SY1662 @ SY1665 @ SY1666 ) )
                      = ( perm_name_pi @ SV249 @ SY1666 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1097]) ).

thf(1377,plain,
    ! [SV250: name] :
      ( ( ! [SY1667: name,SY1668: pi,SY1669: late_subject,SY1670: name] :
            ~ ( ~ ! [SY1671: pi] :
                    ( ~ ( late_transitions @ ( input @ SV250 @ SY1667 @ SY1668 ) @ ( late_BoundR @ SY1669 @ SY1670 @ SY1671 ) )
                    | ( SY1670 = SV250 )
                    | ( SY1670 = SY1667 )
                    | ~ ( fresh_name_pi @ SY1670 @ SY1668 )
                    | ( SY1669
                      = ( late_InputS @ SV250 ) )
                    | ! [SX6: late_subject > name > pi > $o] : ( SX6 @ SY1669 @ SY1670 @ SY1671 ) )
              | ~ ~ ( ~ ! [SY1673: pi] :
                          ( ~ ( late_transitions @ ( input @ SV250 @ SY1667 @ SY1668 ) @ ( late_BoundR @ SY1669 @ SY1670 @ SY1673 ) )
                          | ( SY1670 = SV250 )
                          | ( SY1670 = SY1667 )
                          | ~ ( fresh_name_pi @ SY1670 @ SY1668 )
                          | ( SY1673
                            = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1667 @ SY1670 ) @ nil_Pr743626285e_name ) @ SY1668 ) )
                          | ! [SX6: late_subject > name > pi > $o] : ( SX6 @ SY1669 @ SY1670 @ SY1673 ) )
                    | ~ ! [SY1675: pi] :
                          ( ~ ( late_transitions @ ( input @ SV250 @ SY1667 @ SY1668 ) @ ( late_BoundR @ SY1669 @ SY1670 @ SY1675 ) )
                          | ( SY1670 = SV250 )
                          | ( SY1670 = SY1667 )
                          | ~ ( fresh_name_pi @ SY1670 @ SY1668 )
                          | ! [SY1676: late_subject > name > pi > $o] :
                              ( ~ ( SY1676 @ ( late_InputS @ SV250 ) @ SY1670 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1667 @ SY1670 ) @ nil_Pr743626285e_name ) @ SY1668 ) )
                              | ( SY1676 @ SY1669 @ SY1670 @ SY1675 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1098]) ).

thf(1378,plain,
    ! [SV251: name] :
      ( ( ! [SY1677: name,SY1678: name] :
            ( ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SY1677 @ SY1678 ) )
            = ( ~ ( ~ ( fresh_name_name @ SV251 @ SY1677 )
                  | ~ ( fresh_name_name @ SV251 @ SY1678 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1099]) ).

thf(1379,plain,
    ! [SV252: name] :
      ( ( ! [SY1679: pi,SY1680: late_freeRes,SY1681: pi] :
            ( ~ ( late_transitions @ ( res @ SV252 @ SY1679 ) @ ( late_FreeR @ SY1680 @ SY1681 ) )
            | ! [SY1682: pi > $o] :
                ( ~ ( ~ ( late_transitions @ SY1679 @ ( late_FreeR @ SY1680 @ ( sK117_P4 @ SY1682 @ SY1681 @ SY1680 @ SY1679 @ SV252 ) ) )
                    | ~ ~ ( ~ ( fresh_1641682979reeRes @ SV252 @ SY1680 )
                          | ~ ~ ( SY1682 @ ( res @ SV252 @ ( sK117_P4 @ SY1682 @ SY1681 @ SY1680 @ SY1679 @ SV252 ) ) ) ) )
                | ( SY1682 @ SY1681 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1100]) ).

thf(1380,plain,
    ! [SV253: name] :
      ( ( ! [SY1683: pi,SY1684: late_subject,SY1685: name,SY1686: pi] :
            ( ~ ( late_transitions @ ( res @ SV253 @ SY1683 ) @ ( late_BoundR @ SY1684 @ SY1685 @ SY1686 ) )
            | ( SY1685 = SV253 )
            | ~ ( fresh_name_pi @ SY1685 @ SY1683 )
            | ! [SY1687: late_subject > pi > $o] :
                ( ~ ( ~ ( late_transitions @ SY1683 @ ( late_FreeR @ ( late_OutputR @ ( sK60_B2 @ SY1687 @ SY1686 @ SY1685 @ SY1684 @ SY1683 @ SV253 ) @ SV253 ) @ ( sK61_SY1044 @ SY1687 @ SY1686 @ SY1685 @ SY1684 @ SY1683 @ SV253 ) ) )
                    | ~ ~ ( ~ ( ( ( sK60_B2 @ SY1687 @ SY1686 @ SY1685 @ SY1684 @ SY1683 @ SV253 )
                               != SV253 ) )
                          | ~ ~ ( ( SY1684
                                 != ( late_BoundOutputS @ ( sK60_B2 @ SY1687 @ SY1686 @ SY1685 @ SY1684 @ SY1683 @ SV253 ) ) )
                                | ~ ~ ( SY1687 @ ( late_BoundOutputS @ ( sK60_B2 @ SY1687 @ SY1686 @ SY1685 @ SY1684 @ SY1683 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1685 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SY1687 @ SY1686 @ SY1685 @ SY1684 @ SY1683 @ SV253 ) ) ) ) ) )
                | ~ ( ~ ( late_transitions @ SY1683 @ ( late_BoundR @ SY1684 @ SY1685 @ ( sK59_P4 @ SY1687 @ SY1686 @ SY1685 @ SY1684 @ SY1683 @ SV253 ) ) )
                    | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SY1684 )
                          | ~ ~ ( SY1687 @ SY1684 @ ( res @ SV253 @ ( sK59_P4 @ SY1687 @ SY1686 @ SY1685 @ SY1684 @ SY1683 @ SV253 ) ) ) ) )
                | ( SY1687 @ SY1684 @ SY1686 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1101]) ).

thf(1381,plain,
    ! [SV254: $o] :
      ( ( ! [SY1688: list_P227219501e_name] :
            ~ ( ~ ( ~ SV254
                  | ! [SY1689: late_subject,SY1690: late_subject] :
                      ( ( perm_n1559866809ubject @ SY1688 @ ( if_Late_subject @ SV254 @ SY1689 @ SY1690 ) )
                      = ( perm_n1559866809ubject @ SY1688 @ SY1689 ) ) )
              | ~ ( SV254
                  | ! [SY1691: late_subject,SY1692: late_subject] :
                      ( ( perm_n1559866809ubject @ SY1688 @ ( if_Late_subject @ SV254 @ SY1691 @ SY1692 ) )
                      = ( perm_n1559866809ubject @ SY1688 @ SY1692 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1102]) ).

thf(1382,plain,
    ( ( ! [SX0: list_P227219501e_name] :
          ~ ( ~ ( ~ $true
                | ! [SX1: late_subject,SX2: late_subject] :
                    ( ( perm_n1559866809ubject @ SX0 @ ( if_Late_subject @ $true @ SX1 @ SX2 ) )
                    = ( perm_n1559866809ubject @ SX0 @ SX1 ) ) )
            | ~ ( $true
                | ! [SX1: late_subject,SX2: late_subject] :
                    ( ( perm_n1559866809ubject @ SX0 @ ( if_Late_subject @ $true @ SX1 @ SX2 ) )
                    = ( perm_n1559866809ubject @ SX0 @ SX2 ) ) ) ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1102]) ).

thf(1383,plain,
    ( ( ! [SX0: list_P227219501e_name] :
          ~ ( ~ ( ~ $false
                | ! [SX1: late_subject,SX2: late_subject] :
                    ( ( perm_n1559866809ubject @ SX0 @ ( if_Late_subject @ $false @ SX1 @ SX2 ) )
                    = ( perm_n1559866809ubject @ SX0 @ SX1 ) ) )
            | ~ ( $false
                | ! [SX1: late_subject,SX2: late_subject] :
                    ( ( perm_n1559866809ubject @ SX0 @ ( if_Late_subject @ $false @ SX1 @ SX2 ) )
                    = ( perm_n1559866809ubject @ SX0 @ SX2 ) ) ) ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1102]) ).

thf(1384,plain,
    ! [SV255: pi] :
      ( ( ! [SY1693: pi,SY1694: pi,SY1695: pi] :
            ( ( ( par @ SV255 @ SY1693 )
              = ( par @ SY1694 @ SY1695 ) )
            = ( ~ ( ( SV255 != SY1694 )
                  | ( SY1693 != SY1695 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1103]) ).

thf(1385,plain,
    ! [SV256: pi] :
      ( ( ! [SY1696: set_Pr1834926343_pi_pi,SY1697: pi,SY1698: late_subject] :
            ( ~ ( strong743114133lation @ SV256 @ SY1696 @ SY1697 )
            | ! [SY1699: name,SY1700: pi] :
                ( ~ ( late_transitions @ SY1697 @ ( late_BoundR @ SY1698 @ SY1699 @ SY1700 ) )
                | ~ ( fresh_name_pi @ SY1699 @ SV256 )
                | ~ ( ~ ( late_transitions @ SV256 @ ( late_BoundR @ SY1698 @ SY1699 @ ( sK92_P4 @ SY1700 @ SY1699 @ SY1698 @ SY1697 @ SY1696 @ SV256 ) ) )
                    | ~ ( strong2129052853vative @ ( sK92_P4 @ SY1700 @ SY1699 @ SY1698 @ SY1697 @ SY1696 @ SV256 ) @ SY1700 @ SY1698 @ SY1699 @ SY1696 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1104]) ).

thf(1386,plain,
    ! [SV257: late_freeRes] :
      ( ( ! [SY1701: pi,SY1702: late_freeRes,SY1703: pi] :
            ( ( ( late_FreeR @ SV257 @ SY1701 )
              = ( late_FreeR @ SY1702 @ SY1703 ) )
            = ( ~ ( ( SV257 != SY1702 )
                  | ( SY1701 != SY1703 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1105]) ).

thf(1387,plain,
    ! [SV258: name] :
      ( ( ! [SY1704: pi,SY1705: late_freeRes,SY1706: pi] :
            ( ~ ( late_transitions @ ( res @ SV258 @ SY1704 ) @ ( late_FreeR @ SY1705 @ SY1706 ) )
            | ~ ( ( ( res @ SV258 @ SY1704 )
                 != ( res @ ( sK116_SY1113 @ SY1706 @ SY1705 @ SY1704 @ SV258 ) @ ( sK113_P5 @ SY1706 @ SY1705 @ SY1704 @ SV258 ) ) )
                | ~ ~ ( ( ( late_FreeR @ SY1705 @ SY1706 )
                       != ( late_FreeR @ ( sK114_SY1108 @ SY1706 @ SY1705 @ SY1704 @ SV258 ) @ ( res @ ( sK116_SY1113 @ SY1706 @ SY1705 @ SY1704 @ SV258 ) @ ( sK115_SY1111 @ SY1706 @ SY1705 @ SY1704 @ SV258 ) ) ) )
                      | ~ ~ ( ~ ( late_transitions @ ( sK113_P5 @ SY1706 @ SY1705 @ SY1704 @ SV258 ) @ ( late_FreeR @ ( sK114_SY1108 @ SY1706 @ SY1705 @ SY1704 @ SV258 ) @ ( sK115_SY1111 @ SY1706 @ SY1705 @ SY1704 @ SV258 ) ) )
                            | ~ ( fresh_1641682979reeRes @ ( sK116_SY1113 @ SY1706 @ SY1705 @ SY1704 @ SV258 ) @ ( sK114_SY1108 @ SY1706 @ SY1705 @ SY1704 @ SV258 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1106]) ).

thf(1388,plain,
    ! [SV259: product_unit > late_residual > $o] :
      ( ( ~ ( ~ ( fresh_1143631827t_unit @ ( sK28_SY1002 @ SV259 ) @ ( sK30_SY1007 @ SV259 ) )
            | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK28_SY1002 @ SV259 ) @ ( sK27_Subject2 @ SV259 ) )
                  | ~ ~ ( SV259 @ ( sK30_SY1007 @ SV259 ) @ ( late_BoundR @ ( sK27_Subject2 @ SV259 ) @ ( sK28_SY1002 @ SV259 ) @ ( sK29_SY1005 @ SV259 ) ) ) ) )
        | ~ ( SV259 @ ( sK26_SY1001 @ SV259 ) @ ( late_FreeR @ ( sK24_FreeRes2 @ SV259 ) @ ( sK25_SY999 @ SV259 ) ) )
        | ! [SY1707: product_unit,SY1708: late_residual] : ( SV259 @ SY1707 @ SY1708 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1107]) ).

thf(1389,plain,
    ! [SV260: pi > late_residual > $o] :
      ( ( ~ ( ~ ( fresh_name_pi @ ( sK7_SY975 @ SV260 ) @ ( sK9_SY980 @ SV260 ) )
            | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK7_SY975 @ SV260 ) @ ( sK6_Subject2 @ SV260 ) )
                  | ~ ~ ( SV260 @ ( sK9_SY980 @ SV260 ) @ ( late_BoundR @ ( sK6_Subject2 @ SV260 ) @ ( sK7_SY975 @ SV260 ) @ ( sK8_SY978 @ SV260 ) ) ) ) )
        | ~ ( SV260 @ ( sK5_SY974 @ SV260 ) @ ( late_FreeR @ ( sK3_FreeRes2 @ SV260 ) @ ( sK4_SY972 @ SV260 ) ) )
        | ! [SY1709: pi,SY1710: late_residual] : ( SV260 @ SY1709 @ SY1710 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1108]) ).

thf(1390,plain,
    ! [SV261: name] :
      ( ( ~ ( ~ ! [SY1711: name] :
                  ( ( SV261 != SY1711 )
                  | ! [SY1712: name] :
                      ( ( swap_name2 @ ( produc1570949143e_name @ SV261 @ SY1712 ) @ SY1711 )
                      = SY1712 ) )
            | ~ ~ ( ~ ! [SY1713: name] :
                        ( ( SV261 = SY1713 )
                        | ! [SY1714: name] :
                            ( ( SY1714 != SY1713 )
                            | ( ( swap_name2 @ ( produc1570949143e_name @ SV261 @ SY1714 ) @ SY1713 )
                              = SV261 ) ) )
                  | ~ ! [SY1715: name] :
                        ( ( SV261 = SY1715 )
                        | ! [SY1716: name] :
                            ( ( SY1716 = SY1715 )
                            | ( ( swap_name2 @ ( produc1570949143e_name @ SV261 @ SY1716 ) @ SY1715 )
                              = SY1715 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1109]) ).

thf(1391,plain,
    ! [SV262: list_P227219501e_name] :
      ( ( ! [SY1717: $o] :
            ~ ( ~ ( ~ ( perm_name_o @ SV262 @ SY1717 )
                  | ! [SY1718: name,SY1719: name] :
                      ( ( perm_name_name @ SV262 @ ( if_name @ SY1717 @ SY1718 @ SY1719 ) )
                      = ( perm_name_name @ SV262 @ SY1718 ) ) )
              | ~ ( ( perm_name_o @ SV262 @ SY1717 )
                  | ! [SY1720: name,SY1721: name] :
                      ( ( perm_name_name @ SV262 @ ( if_name @ SY1717 @ SY1720 @ SY1721 ) )
                      = ( perm_name_name @ SV262 @ SY1721 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1110]) ).

thf(1392,plain,
    ! [SV263: $o] :
      ( ( ! [SY1722: list_P227219501e_name] :
            ~ ( ~ ( ~ SV263
                  | ! [SY1723: pi_Rep,SY1724: pi_Rep] :
                      ( ( perm_name_pi_Rep @ SY1722 @ ( if_pi_Rep @ SV263 @ SY1723 @ SY1724 ) )
                      = ( perm_name_pi_Rep @ SY1722 @ SY1723 ) ) )
              | ~ ( SV263
                  | ! [SY1725: pi_Rep,SY1726: pi_Rep] :
                      ( ( perm_name_pi_Rep @ SY1722 @ ( if_pi_Rep @ SV263 @ SY1725 @ SY1726 ) )
                      = ( perm_name_pi_Rep @ SY1722 @ SY1726 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1111]) ).

thf(1393,plain,
    ( ( ! [SX0: list_P227219501e_name] :
          ~ ( ~ ( ~ $true
                | ! [SX1: pi_Rep,SX2: pi_Rep] :
                    ( ( perm_name_pi_Rep @ SX0 @ ( if_pi_Rep @ $true @ SX1 @ SX2 ) )
                    = ( perm_name_pi_Rep @ SX0 @ SX1 ) ) )
            | ~ ( $true
                | ! [SX1: pi_Rep,SX2: pi_Rep] :
                    ( ( perm_name_pi_Rep @ SX0 @ ( if_pi_Rep @ $true @ SX1 @ SX2 ) )
                    = ( perm_name_pi_Rep @ SX0 @ SX2 ) ) ) ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1111]) ).

thf(1394,plain,
    ( ( ! [SX0: list_P227219501e_name] :
          ~ ( ~ ( ~ $false
                | ! [SX1: pi_Rep,SX2: pi_Rep] :
                    ( ( perm_name_pi_Rep @ SX0 @ ( if_pi_Rep @ $false @ SX1 @ SX2 ) )
                    = ( perm_name_pi_Rep @ SX0 @ SX1 ) ) )
            | ~ ( $false
                | ! [SX1: pi_Rep,SX2: pi_Rep] :
                    ( ( perm_name_pi_Rep @ SX0 @ ( if_pi_Rep @ $false @ SX1 @ SX2 ) )
                    = ( perm_name_pi_Rep @ SX0 @ SX2 ) ) ) ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1111]) ).

thf(1395,plain,
    ! [SV264: name] :
      ( ( ! [SY1727: name,SY1728: name,SY1729: name] :
            ( ( ( late_OutputR @ SV264 @ SY1727 )
              = ( late_OutputR @ SY1728 @ SY1729 ) )
            = ( ~ ( ( SV264 != SY1728 )
                  | ( SY1727 != SY1729 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1112]) ).

thf(1396,plain,
    ! [SV265: name > late_residual > $o] :
      ( ( ~ ( ~ ( fresh_name_name @ ( sK42_SY1020 @ SV265 ) @ ( sK44_SY1025 @ SV265 ) )
            | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK42_SY1020 @ SV265 ) @ ( sK41_Subject2 @ SV265 ) )
                  | ~ ~ ( SV265 @ ( sK44_SY1025 @ SV265 ) @ ( late_BoundR @ ( sK41_Subject2 @ SV265 ) @ ( sK42_SY1020 @ SV265 ) @ ( sK43_SY1023 @ SV265 ) ) ) ) )
        | ~ ( SV265 @ ( sK40_SY1019 @ SV265 ) @ ( late_FreeR @ ( sK38_FreeRes2 @ SV265 ) @ ( sK39_SY1017 @ SV265 ) ) )
        | ! [SY1730: name,SY1731: late_residual] : ( SV265 @ SY1730 @ SY1731 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1113]) ).

thf(1397,plain,
    ! [SV266: pi,SV1: name] :
      ( ( ! [SY1732: name] :
            ( ( subs @ ( res @ SV1 @ SV266 ) @ SY1732 @ SV1 )
            = ( res @ SY1732 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1732 @ SV1 ) @ nil_Pr743626285e_name ) @ SV266 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1118]) ).

thf(1398,plain,
    ! [SV267: name,SV2: name] :
      ( ( ! [SY1733: late_subject] :
            ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV2 @ SV267 ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV2 @ SV267 ) @ nil_Pr743626285e_name ) @ SY1733 ) )
            = SY1733 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1119]) ).

thf(1399,plain,
    ! [SV268: name,SV3: name] :
      ( ( ! [SY1734: late_freeRes] :
            ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV3 @ SV268 ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV3 @ SV268 ) @ nil_Pr743626285e_name ) @ SY1734 ) )
            = SY1734 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1120]) ).

thf(1400,plain,
    ! [SV269: name,SV4: name] :
      ( ( ! [SY1735: pi_Rep] :
            ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV4 @ SV269 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV4 @ SV269 ) @ nil_Pr743626285e_name ) @ SY1735 ) )
            = SY1735 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1121]) ).

thf(1401,plain,
    ! [SV270: name,SV5: name] :
      ( ( ! [SY1736: name] :
            ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV5 @ SV270 ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV5 @ SV270 ) @ nil_Pr743626285e_name ) @ SY1736 ) )
            = SY1736 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1122]) ).

thf(1402,plain,
    ! [SV271: name,SV6: name] :
      ( ( ! [SY1737: pi] :
            ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV6 @ SV271 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV6 @ SV271 ) @ nil_Pr743626285e_name ) @ SY1737 ) )
            = SY1737 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1123]) ).

thf(1403,plain,
    ! [SV272: late_subject,SV7: name] :
      ( ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV7 @ SV7 ) @ nil_Pr743626285e_name ) @ SV272 )
        = SV272 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1124]) ).

thf(1404,plain,
    ! [SV273: late_freeRes,SV8: name] :
      ( ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV8 @ SV8 ) @ nil_Pr743626285e_name ) @ SV273 )
        = SV273 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1125]) ).

thf(1405,plain,
    ! [SV274: pi_Rep,SV9: name] :
      ( ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV9 @ SV9 ) @ nil_Pr743626285e_name ) @ SV274 )
        = SV274 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1126]) ).

thf(1406,plain,
    ! [SV275: name,SV10: name] :
      ( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV10 @ SV10 ) @ nil_Pr743626285e_name ) @ SV275 )
        = SV275 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1127]) ).

thf(1407,plain,
    ! [SV276: pi,SV11: name] :
      ( ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV11 @ SV11 ) @ nil_Pr743626285e_name ) @ SV276 )
        = SV276 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1128]) ).

thf(1408,plain,
    ! [SV277: name,SV12: name] :
      ( ( ! [SY1738: late_subject] :
            ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV12 @ SV277 ) @ nil_Pr743626285e_name ) @ SY1738 )
            = ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV277 @ SV12 ) @ nil_Pr743626285e_name ) @ SY1738 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1129]) ).

thf(1409,plain,
    ! [SV278: name,SV13: name] :
      ( ( ! [SY1739: late_freeRes] :
            ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV13 @ SV278 ) @ nil_Pr743626285e_name ) @ SY1739 )
            = ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV278 @ SV13 ) @ nil_Pr743626285e_name ) @ SY1739 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1130]) ).

thf(1410,plain,
    ! [SV279: name,SV14: name] :
      ( ( ! [SY1740: pi_Rep] :
            ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV14 @ SV279 ) @ nil_Pr743626285e_name ) @ SY1740 )
            = ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV279 @ SV14 ) @ nil_Pr743626285e_name ) @ SY1740 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1131]) ).

thf(1411,plain,
    ! [SV280: name,SV15: name] :
      ( ( ! [SY1741: name] :
            ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV15 @ SV280 ) @ nil_Pr743626285e_name ) @ SY1741 )
            = ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV280 @ SV15 ) @ nil_Pr743626285e_name ) @ SY1741 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1132]) ).

thf(1412,plain,
    ! [SV281: name,SV16: name] :
      ( ( ! [SY1742: pi] :
            ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV16 @ SV281 ) @ nil_Pr743626285e_name ) @ SY1742 )
            = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV281 @ SV16 ) @ nil_Pr743626285e_name ) @ SY1742 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1133]) ).

thf(1413,plain,
    ! [SV282: name,SV17: name] :
      ( ( ! [SY1743: late_subject] :
            ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV17 @ SV282 ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV17 @ SV282 ) @ nil_Pr743626285e_name ) @ SY1743 ) )
            = SY1743 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1134]) ).

thf(1414,plain,
    ! [SV283: name,SV18: name] :
      ( ( ! [SY1744: late_freeRes] :
            ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV18 @ SV283 ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV18 @ SV283 ) @ nil_Pr743626285e_name ) @ SY1744 ) )
            = SY1744 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1135]) ).

thf(1415,plain,
    ! [SV284: name,SV19: name] :
      ( ( ! [SY1745: pi_Rep] :
            ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV19 @ SV284 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV19 @ SV284 ) @ nil_Pr743626285e_name ) @ SY1745 ) )
            = SY1745 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1136]) ).

thf(1416,plain,
    ! [SV285: name,SV20: name] :
      ( ( ! [SY1746: name] :
            ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV20 @ SV285 ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV20 @ SV285 ) @ nil_Pr743626285e_name ) @ SY1746 ) )
            = SY1746 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1137]) ).

thf(1417,plain,
    ! [SV286: name,SV21: name] :
      ( ( ! [SY1747: pi] :
            ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV21 @ SV286 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV21 @ SV286 ) @ nil_Pr743626285e_name ) @ SY1747 ) )
            = SY1747 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1138]) ).

thf(1418,plain,
    ! [SV287: pi,SV22: list_P227219501e_name] :
      ( ( ! [SY1748: pi] :
            ( ( perm_name_pi @ SV22 @ ( par @ SV287 @ SY1748 ) )
            = ( par @ ( perm_name_pi @ SV22 @ SV287 ) @ ( perm_name_pi @ SV22 @ SY1748 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1139]) ).

thf(1419,plain,
    ! [SV288: pi,SV23: pi] :
      ( ( ! [SY1749: name,SY1750: name] :
            ( ( subs @ ( par @ SV23 @ SV288 ) @ SY1749 @ SY1750 )
            = ( par @ ( subs @ SV23 @ SY1749 @ SY1750 ) @ ( subs @ SV288 @ SY1749 @ SY1750 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1140]) ).

thf(1420,plain,
    ! [SV289: name,SV24: name] :
      ( ( ( SV24 = SV289 )
        | ! [SY1751: name] :
            ( ( SV24 = SY1751 )
            | ! [SY1752: pi] :
                ( ( subs @ ( res @ SV24 @ SY1752 ) @ SV289 @ SY1751 )
                = ( res @ SV24 @ ( subs @ SY1752 @ SV289 @ SY1751 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1141]) ).

thf(1421,plain,
    ! [SV290: name,SV30: pi] :
      ( ( ( subs @ SV30 @ SV290 @ SV290 )
        = SV30 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1147]) ).

thf(1422,plain,
    ! [SV291: name,SV32: list_P227219501e_name] :
      ( ( ! [SY1753: pi] :
            ( ( perm_name_pi @ SV32 @ ( res @ SV291 @ SY1753 ) )
            = ( res @ ( perm_name_name @ SV32 @ SV291 ) @ ( perm_name_pi @ SV32 @ SY1753 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1149]) ).

thf(1423,plain,
    ! [SV292: late_subject,SV33: name] :
      ( ( ~ ( fresh_717452603ubject @ SV33 @ SV292 )
        | ! [SY1754: name] :
            ( ~ ( fresh_717452603ubject @ SY1754 @ SV292 )
            | ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV33 @ SY1754 ) @ nil_Pr743626285e_name ) @ SV292 )
              = SV292 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1150]) ).

thf(1424,plain,
    ! [SV293: late_freeRes,SV34: name] :
      ( ( ~ ( fresh_1641682979reeRes @ SV34 @ SV293 )
        | ! [SY1755: name] :
            ( ~ ( fresh_1641682979reeRes @ SY1755 @ SV293 )
            | ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV34 @ SY1755 ) @ nil_Pr743626285e_name ) @ SV293 )
              = SV293 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1151]) ).

thf(1425,plain,
    ! [SV294: pi_Rep,SV35: name] :
      ( ( ~ ( fresh_name_pi_Rep @ SV35 @ SV294 )
        | ! [SY1756: name] :
            ( ~ ( fresh_name_pi_Rep @ SY1756 @ SV294 )
            | ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV35 @ SY1756 ) @ nil_Pr743626285e_name ) @ SV294 )
              = SV294 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1152]) ).

thf(1426,plain,
    ! [SV295: product_unit,SV36: name] :
      ( ( ~ ( fresh_1143631827t_unit @ SV36 @ SV295 )
        | ! [SY1757: name] :
            ( ~ ( fresh_1143631827t_unit @ SY1757 @ SV295 )
            | ( ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV36 @ SY1757 ) @ nil_Pr743626285e_name ) @ SV295 )
              = SV295 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1153]) ).

thf(1427,plain,
    ! [SV296: produc1141751126_pi_pi,SV37: name] :
      ( ( ~ ( fresh_1376661020_pi_pi @ SV37 @ SV296 )
        | ! [SY1758: name] :
            ( ~ ( fresh_1376661020_pi_pi @ SY1758 @ SV296 )
            | ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV37 @ SY1758 ) @ nil_Pr743626285e_name ) @ SV296 )
              = SV296 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1154]) ).

thf(1428,plain,
    ! [SV297: name,SV38: name] :
      ( ( ~ ( fresh_name_name @ SV38 @ SV297 )
        | ! [SY1759: name] :
            ( ~ ( fresh_name_name @ SY1759 @ SV297 )
            | ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV38 @ SY1759 ) @ nil_Pr743626285e_name ) @ SV297 )
              = SV297 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1155]) ).

thf(1429,plain,
    ! [SV298: pi,SV39: name] :
      ( ( ~ ( fresh_name_pi @ SV39 @ SV298 )
        | ! [SY1760: name] :
            ( ~ ( fresh_name_pi @ SY1760 @ SV298 )
            | ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV39 @ SY1760 ) @ nil_Pr743626285e_name ) @ SV298 )
              = SV298 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1156]) ).

thf(1430,plain,
    ! [SV299: name > noption_pi,SV40: name] :
      ( ( ~ ( fresh_543891186ion_pi @ SV40 @ SV299 )
        | ! [SY1761: name] :
            ( ~ ( fresh_543891186ion_pi @ SY1761 @ SV299 )
            | ( ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV40 @ SY1761 ) @ nil_Pr743626285e_name ) @ SV299 )
              = SV299 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1157]) ).

thf(1431,plain,
    ! [SV300: late_subject,SV41: name] :
      ( ( ~ ( fresh_717452603ubject @ SV41 @ SV300 )
        | ! [SY1762: name] :
            ( ~ ( fresh_717452603ubject @ SY1762 @ SV300 )
            | ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV41 @ SY1762 ) @ nil_Pr743626285e_name ) @ SV300 )
              = SV300 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1158]) ).

thf(1432,plain,
    ! [SV301: late_freeRes,SV42: name] :
      ( ( ~ ( fresh_1641682979reeRes @ SV42 @ SV301 )
        | ! [SY1763: name] :
            ( ~ ( fresh_1641682979reeRes @ SY1763 @ SV301 )
            | ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV42 @ SY1763 ) @ nil_Pr743626285e_name ) @ SV301 )
              = SV301 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1159]) ).

thf(1433,plain,
    ! [SV302: pi_Rep,SV43: name] :
      ( ( ~ ( fresh_name_pi_Rep @ SV43 @ SV302 )
        | ! [SY1764: name] :
            ( ~ ( fresh_name_pi_Rep @ SY1764 @ SV302 )
            | ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV43 @ SY1764 ) @ nil_Pr743626285e_name ) @ SV302 )
              = SV302 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1160]) ).

thf(1434,plain,
    ! [SV303: product_unit,SV44: name] :
      ( ( ~ ( fresh_1143631827t_unit @ SV44 @ SV303 )
        | ! [SY1765: name] :
            ( ~ ( fresh_1143631827t_unit @ SY1765 @ SV303 )
            | ( ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV44 @ SY1765 ) @ nil_Pr743626285e_name ) @ SV303 )
              = SV303 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1161]) ).

thf(1435,plain,
    ! [SV304: produc1141751126_pi_pi,SV45: name] :
      ( ( ~ ( fresh_1376661020_pi_pi @ SV45 @ SV304 )
        | ! [SY1766: name] :
            ( ~ ( fresh_1376661020_pi_pi @ SY1766 @ SV304 )
            | ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV45 @ SY1766 ) @ nil_Pr743626285e_name ) @ SV304 )
              = SV304 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1162]) ).

thf(1436,plain,
    ! [SV305: name,SV46: name] :
      ( ( ~ ( fresh_name_name @ SV46 @ SV305 )
        | ! [SY1767: name] :
            ( ~ ( fresh_name_name @ SY1767 @ SV305 )
            | ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV46 @ SY1767 ) @ nil_Pr743626285e_name ) @ SV305 )
              = SV305 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1163]) ).

thf(1437,plain,
    ! [SV306: pi,SV47: name] :
      ( ( ~ ( fresh_name_pi @ SV47 @ SV306 )
        | ! [SY1768: name] :
            ( ~ ( fresh_name_pi @ SY1768 @ SV306 )
            | ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV47 @ SY1768 ) @ nil_Pr743626285e_name ) @ SV306 )
              = SV306 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1164]) ).

thf(1438,plain,
    ! [SV307: name > noption_pi,SV48: name] :
      ( ( ~ ( fresh_543891186ion_pi @ SV48 @ SV307 )
        | ! [SY1769: name] :
            ( ~ ( fresh_543891186ion_pi @ SY1769 @ SV307 )
            | ( ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV48 @ SY1769 ) @ nil_Pr743626285e_name ) @ SV307 )
              = SV307 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1165]) ).

thf(1439,plain,
    ! [SV308: list_P227219501e_name,SV49: name] :
      ( ( ~ ( fresh_922791155e_name @ SV49 @ SV308 )
        | ! [SY1770: pi] :
            ( ~ ( fresh_name_pi @ SV49 @ SY1770 )
            | ( fresh_name_pi @ SV49 @ ( perm_name_pi @ SV308 @ SY1770 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1166]) ).

thf(1440,plain,
    ! [SV309: name,SV50: list_P227219501e_name] :
      ( ( ! [SY1771: pi] :
            ( ( fresh_name_pi @ ( perm_name_name @ SV50 @ SV309 ) @ ( perm_name_pi @ SV50 @ SY1771 ) )
            = ( fresh_name_pi @ SV309 @ SY1771 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1167]) ).

thf(1441,plain,
    ! [SV310: pi,SV51: name] :
      ( ( fresh_name_pi @ SV51 @ ( res @ SV51 @ SV310 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1168]) ).

thf(1442,plain,
    ! [SV311: name,SV52: name] :
      ( ( ( SV52 = SV311 )
        | ! [SY1772: pi] : ( fresh_name_pi @ SV52 @ ( subs @ SY1772 @ SV52 @ SV311 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1169]) ).

thf(1443,plain,
    ! [SV312: pi,SV53: name] :
      ( ( ~ ( fresh_name_pi @ SV53 @ SV312 )
        | ! [SY1773: name] :
            ( ( SV53 = SY1773 )
            | ! [SY1774: name] : ( fresh_name_pi @ SV53 @ ( subs @ SV312 @ SY1774 @ SY1773 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1170]) ).

thf(1444,plain,
    ! [SV313: pi,SV54: name] :
      ( ( ~ ( fresh_name_pi @ SV54 @ SV313 )
        | ! [SY1775: name] :
            ( ( subs @ SV313 @ SV54 @ SY1775 )
            = SV313 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1171]) ).

thf(1445,plain,
    ! [SV314: pi,SV56: name] :
      ( ( ~ ( fresh_name_pi @ SV56 @ SV314 )
        | ! [SY1776: name] :
            ( ( subs @ ( res @ SY1776 @ SV314 ) @ SY1776 @ SV56 )
            = ( res @ SV56 @ ( subs @ SV314 @ SY1776 @ SV56 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1173]) ).

thf(1446,plain,
    ! [SV315: pi,SV57: name] :
      ( ( ~ ( fresh_name_pi @ SV57 @ SV315 )
        | ! [SY1777: name] :
            ( ( res @ SY1777 @ SV315 )
            = ( res @ SV57 @ ( subs @ SV315 @ SY1777 @ SV57 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1174]) ).

thf(1447,plain,
    ! [SV316: pi,SV58: list_P227219501e_name] :
      ( ( ! [SY1778: name,SY1779: name] :
            ( ( perm_name_pi @ SV58 @ ( subs @ SV316 @ SY1778 @ SY1779 ) )
            = ( subs @ ( perm_name_pi @ SV58 @ SV316 ) @ ( perm_name_name @ SV58 @ SY1778 ) @ ( perm_name_name @ SV58 @ SY1779 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1175]) ).

thf(1448,plain,
    ! [SV317: name,SV59: name] :
      ( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV59 @ SV317 ) @ nil_Pr743626285e_name ) @ SV59 )
        = SV317 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1176]) ).

thf(1449,plain,
    ! [SV318: name,SV60: name] :
      ( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV60 @ SV318 ) @ nil_Pr743626285e_name ) @ SV318 )
        = SV60 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1177]) ).

thf(1450,plain,
    ! [SV319: name,SV61: name] :
      ( ( ( SV61 = SV319 )
        | ! [SY1780: name] :
            ( ( SY1780 = SV319 )
            | ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV61 @ SY1780 ) @ nil_Pr743626285e_name ) @ SV319 )
              = SV319 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1178]) ).

thf(1451,plain,
    ! [SV320: name,SV62: name] :
      ( ( ( SV62 = SV320 )
        | ! [SY1781: late_subject] :
            ( ~ ( fresh_717452603ubject @ SV320 @ SY1781 )
            | ~ ( fresh_717452603ubject @ SV62 @ SY1781 )
            | ! [SY1782: name] : ( fresh_717452603ubject @ SV62 @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV320 @ SY1782 ) @ nil_Pr743626285e_name ) @ SY1781 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1179]) ).

thf(1452,plain,
    ! [SV321: name,SV63: name] :
      ( ( ( SV63 = SV321 )
        | ! [SY1783: late_freeRes] :
            ( ~ ( fresh_1641682979reeRes @ SV321 @ SY1783 )
            | ~ ( fresh_1641682979reeRes @ SV63 @ SY1783 )
            | ! [SY1784: name] : ( fresh_1641682979reeRes @ SV63 @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV321 @ SY1784 ) @ nil_Pr743626285e_name ) @ SY1783 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1180]) ).

thf(1453,plain,
    ! [SV322: name,SV64: name] :
      ( ( ( SV64 = SV322 )
        | ! [SY1785: pi_Rep] :
            ( ~ ( fresh_name_pi_Rep @ SV322 @ SY1785 )
            | ~ ( fresh_name_pi_Rep @ SV64 @ SY1785 )
            | ! [SY1786: name] : ( fresh_name_pi_Rep @ SV64 @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV322 @ SY1786 ) @ nil_Pr743626285e_name ) @ SY1785 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1181]) ).

thf(1454,plain,
    ! [SV323: name,SV65: name] :
      ( ( ( SV65 = SV323 )
        | ! [SY1787: product_unit] :
            ( ~ ( fresh_1143631827t_unit @ SV323 @ SY1787 )
            | ~ ( fresh_1143631827t_unit @ SV65 @ SY1787 )
            | ! [SY1788: name] : ( fresh_1143631827t_unit @ SV65 @ ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV323 @ SY1788 ) @ nil_Pr743626285e_name ) @ SY1787 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1182]) ).

thf(1455,plain,
    ! [SV324: name,SV66: name] :
      ( ( ( SV66 = SV324 )
        | ! [SY1789: produc1141751126_pi_pi] :
            ( ~ ( fresh_1376661020_pi_pi @ SV324 @ SY1789 )
            | ~ ( fresh_1376661020_pi_pi @ SV66 @ SY1789 )
            | ! [SY1790: name] : ( fresh_1376661020_pi_pi @ SV66 @ ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV324 @ SY1790 ) @ nil_Pr743626285e_name ) @ SY1789 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1183]) ).

thf(1456,plain,
    ! [SV325: name,SV67: name] :
      ( ( ( SV67 = SV325 )
        | ! [SY1791: name] :
            ( ~ ( fresh_name_name @ SV325 @ SY1791 )
            | ~ ( fresh_name_name @ SV67 @ SY1791 )
            | ! [SY1792: name] : ( fresh_name_name @ SV67 @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV325 @ SY1792 ) @ nil_Pr743626285e_name ) @ SY1791 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1184]) ).

thf(1457,plain,
    ! [SV326: name,SV68: name] :
      ( ( ( SV68 = SV326 )
        | ! [SY1793: pi] :
            ( ~ ( fresh_name_pi @ SV326 @ SY1793 )
            | ~ ( fresh_name_pi @ SV68 @ SY1793 )
            | ! [SY1794: name] : ( fresh_name_pi @ SV68 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV326 @ SY1794 ) @ nil_Pr743626285e_name ) @ SY1793 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1185]) ).

thf(1458,plain,
    ! [SV327: name,SV69: name] :
      ( ( ( SV69 = SV327 )
        | ! [SY1795: name > noption_pi] :
            ( ~ ( fresh_543891186ion_pi @ SV327 @ SY1795 )
            | ~ ( fresh_543891186ion_pi @ SV69 @ SY1795 )
            | ! [SY1796: name] : ( fresh_543891186ion_pi @ SV69 @ ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV327 @ SY1796 ) @ nil_Pr743626285e_name ) @ SY1795 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1186]) ).

thf(1459,plain,
    ! [SV328: list_P227219501e_name,SV70: list_P227219501e_name] :
      ( ( ! [SY1797: pi] :
            ( ( perm_name_pi @ SV70 @ ( perm_name_pi @ SV328 @ SY1797 ) )
            = ( perm_name_pi @ ( perm_n1160739829e_name @ SV70 @ SV328 ) @ ( perm_name_pi @ SV70 @ SY1797 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1187]) ).

thf(1460,plain,
    ! [SV329: list_P227219501e_name,SV71: list_P227219501e_name] :
      ( ( ! [SY1798: pi] :
            ( ( perm_name_pi @ SV71 @ ( perm_name_pi @ SV329 @ SY1798 ) )
            = ( perm_name_pi @ ( perm_n1160739829e_name @ SV71 @ SV329 ) @ ( perm_name_pi @ SV71 @ SY1798 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1188]) ).

thf(1461,plain,
    ! [SV330: list_P227219501e_name,SV72: list_P227219501e_name] :
      ( ( ! [SY1799: pi] :
            ( ( perm_name_pi @ SV72 @ ( perm_name_pi @ SV330 @ SY1799 ) )
            = ( perm_name_pi @ ( perm_n1160739829e_name @ SV72 @ SV330 ) @ ( perm_name_pi @ SV72 @ SY1799 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1189]) ).

thf(1462,plain,
    ! [SV331: pi,SV73: list_P227219501e_name] :
      ( ( ! [SY1800: pi] :
            ( ( ( perm_name_pi @ SV73 @ SV331 )
              = ( perm_name_pi @ SV73 @ SY1800 ) )
            = ( SV331 = SY1800 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1190]) ).

thf(1463,plain,
    ! [SV332: pi > late_subject,SV74: list_P227219501e_name] :
      ( ( ! [SY1801: pi] :
            ( ( perm_n1559866809ubject @ SV74 @ ( SV332 @ SY1801 ) )
            = ( perm_n190055296ubject @ SV74 @ SV332 @ ( perm_name_pi @ SV74 @ SY1801 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1191]) ).

thf(1464,plain,
    ! [SV333: pi > late_freeRes,SV75: list_P227219501e_name] :
      ( ( ! [SY1802: pi] :
            ( ( perm_n336613537reeRes @ SV75 @ ( SV333 @ SY1802 ) )
            = ( perm_n1333244520reeRes @ SV75 @ SV333 @ ( perm_name_pi @ SV75 @ SY1802 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1192]) ).

thf(1465,plain,
    ! [SV334: pi,SV76: list_P227219501e_name] :
      ( ( ! [SY1803: pi] :
            ( ( perm_name_o @ SV76 @ ( SV334 = SY1803 ) )
            = ( ( perm_name_pi @ SV76 @ SV334 )
              = ( perm_name_pi @ SV76 @ SY1803 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1193]) ).

thf(1466,plain,
    ! [SV335: pi,SV77: name] :
      ( ( ~ ( fresh_name_pi @ SV77 @ SV335 )
        | ! [SY1804: name] :
            ( ( res @ SY1804 @ SV335 )
            = ( res @ SV77 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1804 @ SV77 ) @ nil_Pr743626285e_name ) @ SV335 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1194]) ).

thf(1467,plain,
    ! [SV336: pi,SV78: name] :
      ( ( ~ ( fresh_name_pi @ SV78 @ SV336 )
        | ! [SY1805: name] :
            ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1805 @ SV78 ) @ nil_Pr743626285e_name ) @ SV336 )
            = ( subs @ SV336 @ SY1805 @ SV78 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1195]) ).

thf(1468,plain,
    ! [SV337: pi,SV79: name] :
      ( ( ~ ( fresh_name_pi @ SV79 @ SV337 )
        | ! [SY1806: name,SY1807: name] :
            ( ( subs @ SV337 @ SY1806 @ SY1807 )
            = ( subs @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV79 @ SY1806 ) @ nil_Pr743626285e_name ) @ SV337 ) @ SV79 @ SY1807 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1196]) ).

thf(1469,plain,
    ! [SV338: pi,SV80: pi] :
      ( ( ! [SY1808: name,SY1809: pi] :
            ( ( par @ SV80 @ SV338 )
           != ( res @ SY1808 @ SY1809 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1197]) ).

thf(1470,plain,
    ! [SV339: name,SV81: name] :
      ( ( ! [SY1810: late_subject] :
            ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV81 @ SV339 ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV339 @ SV81 ) @ nil_Pr743626285e_name ) @ SY1810 ) )
            = SY1810 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1198]) ).

thf(1471,plain,
    ! [SV340: name,SV82: name] :
      ( ( ! [SY1811: late_freeRes] :
            ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV82 @ SV340 ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV340 @ SV82 ) @ nil_Pr743626285e_name ) @ SY1811 ) )
            = SY1811 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1199]) ).

thf(1472,plain,
    ! [SV341: name,SV83: name] :
      ( ( ! [SY1812: pi_Rep] :
            ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV83 @ SV341 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV341 @ SV83 ) @ nil_Pr743626285e_name ) @ SY1812 ) )
            = SY1812 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1200]) ).

thf(1473,plain,
    ! [SV342: name,SV84: name] :
      ( ( ! [SY1813: name] :
            ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV84 @ SV342 ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV342 @ SV84 ) @ nil_Pr743626285e_name ) @ SY1813 ) )
            = SY1813 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1201]) ).

thf(1474,plain,
    ! [SV343: name,SV85: name] :
      ( ( ! [SY1814: pi] :
            ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV85 @ SV343 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV343 @ SV85 ) @ nil_Pr743626285e_name ) @ SY1814 ) )
            = SY1814 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1202]) ).

thf(1475,plain,
    ! [SV344: pi,SV86: name] :
      ( ( ~ ( fresh_name_pi @ SV86 @ SV344 )
        | ! [SY1815: late_subject,SY1816: name] :
            ( ( late_BoundR @ SY1815 @ SY1816 @ SV344 )
            = ( late_BoundR @ SY1815 @ SV86 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1816 @ SV86 ) @ nil_Pr743626285e_name ) @ SV344 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1203]) ).

thf(1476,plain,
    ! [SV345: name,SV90: name] :
      ( ( ( ( late_BoundOutputS @ SV90 )
          = ( late_BoundOutputS @ SV345 ) )
        = ( SV90 = SV345 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1207]) ).

thf(1477,plain,
    ! [SV346: pi,SV91: name] :
      ( ( ~ ( fresh_name_pi @ SV91 @ SV346 )
        | ! [SY1817: name,SY1818: name] :
            ( ( subs @ ( subs @ SV346 @ SY1817 @ SV91 ) @ SV91 @ SY1818 )
            = ( subs @ SV346 @ SY1817 @ SY1818 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1208]) ).

thf(1478,plain,
    ! [SV347: name,SV92: list_P227219501e_name] :
      ( ( ( perm_n1559866809ubject @ SV92 @ ( late_BoundOutputS @ SV347 ) )
        = ( late_BoundOutputS @ ( perm_name_name @ SV92 @ SV347 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1209]) ).

thf(1479,plain,
    ! [SV348: name,SV93: name] :
      ( ( ( fresh_717452603ubject @ SV93 @ ( late_BoundOutputS @ SV348 ) )
        = ( fresh_name_name @ SV93 @ SV348 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1210]) ).

thf(1480,plain,
    ! [SV349: late_residual,SV94: pi] :
      ( ( ~ ( late_transitions @ SV94 @ SV349 )
        | ! [SY1819: name] :
            ( ~ ( fresh_name_pi @ SY1819 @ SV94 )
            | ( fresh_81631222sidual @ SY1819 @ SV349 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1211]) ).

thf(1481,plain,
    ! [SV350: late_freeRes,SV95: pi] :
      ( ( ! [SY1820: pi] :
            ( ~ ( late_transitions @ SV95 @ ( late_FreeR @ SV350 @ SY1820 ) )
            | ! [SY1821: name] :
                ( ~ ( fresh_1641682979reeRes @ SY1821 @ SV350 )
                | ( late_transitions @ ( res @ SY1821 @ SV95 ) @ ( late_FreeR @ SV350 @ ( res @ SY1821 @ SY1820 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1212]) ).

thf(1482,plain,
    ! [SV351: late_subject,SV96: pi] :
      ( ( ! [SY1822: name,SY1823: pi] :
            ( ~ ( late_transitions @ SV96 @ ( late_BoundR @ SV351 @ SY1822 @ SY1823 ) )
            | ! [SY1824: name] :
                ( ~ ( fresh_717452603ubject @ SY1824 @ SV351 )
                | ( SY1824 = SY1822 )
                | ( late_transitions @ ( res @ SY1824 @ SV96 ) @ ( late_BoundR @ SV351 @ SY1822 @ ( res @ SY1824 @ SY1823 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1213]) ).

thf(1483,plain,
    ! [SV352: late_subject,SV97: pi] :
      ( ( ! [SY1825: name] :
            ( ! [SY1826: pi] :
                ~ ( late_transitions @ SV97 @ ( late_BoundR @ SV352 @ SY1825 @ SY1826 ) )
            | ! [SY1827: name] :
                ( ~ ( fresh_name_pi @ SY1827 @ SV97 )
                | ( fresh_717452603ubject @ SY1827 @ SV352 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1214]) ).

thf(1484,plain,
    ! [SV353: late_subject,SV98: pi] :
      ( ( ! [SY1828: name,SY1829: pi] :
            ( ~ ( late_transitions @ SV98 @ ( late_BoundR @ SV353 @ SY1828 @ SY1829 ) )
            | ! [SY1830: name] :
                ( ~ ( fresh_717452603ubject @ SY1830 @ SV353 )
                | ( SY1830 = SY1828 )
                | ~ ( fresh_name_pi @ SY1828 @ SV98 )
                | ~ ( fresh_717452603ubject @ SY1828 @ SV353 )
                | ( late_transitions @ ( res @ SY1830 @ SV98 ) @ ( late_BoundR @ SV353 @ SY1828 @ ( res @ SY1830 @ SY1829 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1215]) ).

thf(1485,plain,
    ! [SV354: late_subject,SV99: pi] :
      ( ( ! [SY1831: name,SY1832: pi] :
            ( ~ ( late_transitions @ SV99 @ ( late_BoundR @ SV354 @ SY1831 @ SY1832 ) )
            | ~ ( fresh_name_pi @ SY1831 @ SV99 )
            | ! [SY1833: pi] :
                ( ~ ( fresh_name_pi @ SY1831 @ SY1833 )
                | ~ ( fresh_717452603ubject @ SY1831 @ SV354 )
                | ( late_transitions @ ( par @ SV99 @ SY1833 ) @ ( late_BoundR @ SV354 @ SY1831 @ ( par @ SY1832 @ SY1833 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1216]) ).

thf(1486,plain,
    ! [SV355: late_subject,SV100: pi] :
      ( ( ! [SY1834: name,SY1835: pi] :
            ( ~ ( late_transitions @ SV100 @ ( late_BoundR @ SV355 @ SY1834 @ SY1835 ) )
            | ! [SY1836: pi] :
                ( ~ ( fresh_name_pi @ SY1834 @ SY1836 )
                | ~ ( fresh_name_pi @ SY1834 @ SV100 )
                | ~ ( fresh_717452603ubject @ SY1834 @ SV355 )
                | ( late_transitions @ ( par @ SY1836 @ SV100 ) @ ( late_BoundR @ SV355 @ SY1834 @ ( par @ SY1836 @ SY1835 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1217]) ).

thf(1487,plain,
    ! [SV356: name,SV101: late_subject] :
      ( ( ! [SY1837: pi,SY1838: late_freeRes,SY1839: pi] :
            ( ( late_BoundR @ SV101 @ SV356 @ SY1837 )
           != ( late_FreeR @ SY1838 @ SY1839 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1218]) ).

thf(1488,plain,
    ! [SV102: late_residual > $o] :
      ( ( ( ~ ( SV102 @ ( late_BoundR @ ( sK100_Subject2 @ SV102 ) @ ( sK101_SY1085 @ SV102 ) @ ( sK102_SY1087 @ SV102 ) ) ) )
        = $true )
      | ( ( ~ ( SV102 @ ( late_FreeR @ ( sK98_FreeRes2 @ SV102 ) @ ( sK99_SY1084 @ SV102 ) ) )
          | ! [SY1313: late_residual] : ( SV102 @ SY1313 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1219]) ).

thf(1489,plain,
    ! [SV357: late_residual,SV103: pi] :
      ( ( ~ ( late_transitions @ SV103 @ SV357 )
        | ! [SY1840: list_P227219501e_name] : ( late_transitions @ ( perm_name_pi @ SY1840 @ SV103 ) @ ( perm_n414416632sidual @ SY1840 @ SV357 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1220]) ).

thf(1490,plain,
    ! [SV358: name,SV104: name] :
      ( ( ( late_InputS @ SV104 )
       != ( late_BoundOutputS @ SV358 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1221]) ).

thf(1491,plain,
    ! [SV105: late_subject > $o] :
      ( ( ( ~ ( SV105 @ ( late_InputS @ ( sK97_Name3 @ SV105 ) ) ) )
        = $true )
      | ( ( ~ ( SV105 @ ( late_BoundOutputS @ ( sK96_Name3 @ SV105 ) ) )
          | ! [SY1317: late_subject] : ( SV105 @ SY1317 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1222]) ).

thf(1492,plain,
    ! [SV359: late_freeRes,SV106: pi] :
      ( ( ! [SY1841: pi] :
            ( ~ ( late_transitions @ SV106 @ ( late_FreeR @ SV359 @ SY1841 ) )
            | ! [SY1842: pi] : ( late_transitions @ ( par @ SV106 @ SY1842 ) @ ( late_FreeR @ SV359 @ ( par @ SY1841 @ SY1842 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1223]) ).

thf(1493,plain,
    ! [SV360: late_freeRes,SV107: pi] :
      ( ( ! [SY1843: pi] :
            ( ~ ( late_transitions @ SV107 @ ( late_FreeR @ SV360 @ SY1843 ) )
            | ! [SY1844: pi] : ( late_transitions @ ( par @ SY1844 @ SV107 ) @ ( late_FreeR @ SV360 @ ( par @ SY1844 @ SY1843 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1224]) ).

thf(1494,plain,
    ! [SV361: late_subject,SV108: pi] :
      ( ( ! [SY1845: name,SY1846: pi] :
            ( ~ ( late_transitions @ SV108 @ ( late_BoundR @ SV361 @ SY1845 @ SY1846 ) )
            | ! [SY1327: name] :
                ( ~ ( fresh_name_pi @ SY1327 @ SV108 )
                | ( SY1327 = SY1845 )
                | ( fresh_name_pi @ SY1327 @ SY1846 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1225]) ).

thf(1495,plain,
    ! [SV362: late_freeRes,SV109: pi] :
      ( ( ! [SY1848: pi] :
            ( ~ ( late_transitions @ SV109 @ ( late_FreeR @ SV362 @ SY1848 ) )
            | ! [SY1330: name] :
                ( ~ ( fresh_name_pi @ SY1330 @ SV109 )
                | ( fresh_name_pi @ SY1330 @ SY1848 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1226]) ).

thf(1496,plain,
    ! [SV363: late_subject,SV110: pi] :
      ( ( ! [SY1850: name,SY1851: pi] :
            ( ~ ( late_transitions @ SV110 @ ( late_BoundR @ SV363 @ SY1850 @ SY1851 ) )
            | ! [SY1852: pi] :
                ( ~ ( fresh_name_pi @ SY1850 @ SY1852 )
                | ( late_transitions @ ( par @ SV110 @ SY1852 ) @ ( late_BoundR @ SV363 @ SY1850 @ ( par @ SY1851 @ SY1852 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1227]) ).

thf(1497,plain,
    ! [SV364: late_subject,SV111: pi] :
      ( ( ! [SY1853: name,SY1854: pi] :
            ( ~ ( late_transitions @ SV111 @ ( late_BoundR @ SV364 @ SY1853 @ SY1854 ) )
            | ! [SY1855: pi] :
                ( ~ ( fresh_name_pi @ SY1853 @ SY1855 )
                | ( late_transitions @ ( par @ SY1855 @ SV111 ) @ ( late_BoundR @ SV364 @ SY1853 @ ( par @ SY1855 @ SY1854 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1228]) ).

thf(1498,plain,
    ! [SV365: name,SV112: pi] :
      ( ( ! [SY1856: name,SY1857: pi] :
            ( ~ ( late_transitions @ SV112 @ ( late_FreeR @ ( late_OutputR @ SV365 @ SY1856 ) @ SY1857 ) )
            | ( SV365 = SY1856 )
            | ( late_transitions @ ( res @ SY1856 @ SV112 ) @ ( late_BoundR @ ( late_BoundOutputS @ SV365 ) @ SY1856 @ SY1857 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1229]) ).

thf(1499,plain,
    ! [SV366: pi,SV113: pi] :
      ( ( ! [SY1858: late_subject,SY1859: name,SY1860: set_Pr1834926343_pi_pi] :
            ( ~ ( strong2129052853vative @ SV113 @ SV366 @ SY1858 @ SY1859 @ SY1860 )
            | ~ ( eqvt_pi @ SY1860 )
            | ! [SY1861: list_P227219501e_name] : ( strong2129052853vative @ ( perm_name_pi @ SY1861 @ SV113 ) @ ( perm_name_pi @ SY1861 @ SV366 ) @ SY1858 @ ( perm_name_name @ SY1861 @ SY1859 ) @ SY1860 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1230]) ).

thf(1500,plain,
    ! [SV114: list_P227219501e_name > $o] :
      ( ( ( ~ ( SV114 @ ( sK93_X_1 @ SV114 ) ) )
        = $true )
      | ( ( SV114 @ nil_Pr743626285e_name )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1231]) ).

thf(1501,plain,
    ! [SV367: pi,SV115: pi] :
      ( ( ( SV115 != SV367 )
        | ! [SY1862: list_P227219501e_name] :
            ( ( perm_name_pi @ SY1862 @ SV115 )
            = ( perm_name_pi @ SY1862 @ SV367 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1232]) ).

thf(1502,plain,
    ! [SV368: name,SV116: name] :
      ( ( ! [SY1863: name] :
            ( ~ ( fresh_441084397e_name @ SV116 @ ( produc1570949143e_name @ SV368 @ SY1863 ) )
            | ( fresh_name_name @ SV116 @ SY1863 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1233]) ).

thf(1503,plain,
    ! [SV369: name,SV117: name] :
      ( ( ! [SY1864: name] :
            ~ ( fresh_441084397e_name @ SV117 @ ( produc1570949143e_name @ SV369 @ SY1864 ) )
        | ( fresh_name_name @ SV117 @ SV369 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1234]) ).

thf(1504,plain,
    ! [SV370: pi,SV118: list_P227219501e_name] :
      ( ( ! [SY1865: list_pi] :
            ( ( perm_name_list_pi @ SV118 @ ( cons_pi @ SV370 @ SY1865 ) )
            = ( cons_pi @ ( perm_name_pi @ SV118 @ SV370 ) @ ( perm_name_list_pi @ SV118 @ SY1865 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1235]) ).

thf(1505,plain,
    ! [SV371: name,SV119: name] :
      ( ( ( ( late_BoundOutputS @ SV119 )
          = ( late_BoundOutputS @ SV371 ) )
        = ( SV119 = SV371 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1236]) ).

thf(1506,plain,
    ! [SV120: late_subject] :
      ( ( ( SV120
          = ( late_InputS @ ( sK91_X13 @ SV120 ) ) )
        = $true )
      | ( ( SV120
          = ( late_BoundOutputS @ ( sK90_X22 @ SV120 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1237]) ).

thf(1507,plain,
    ! [SV372: name,SV121: name] :
      ( ( ( late_InputS @ SV121 )
       != ( late_BoundOutputS @ SV372 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1238]) ).

thf(1508,plain,
    ! [SV373: name,SV122: list_P227219501e_name] :
      ( ( ! [SY1866: name,SY1867: pi] :
            ( ( perm_name_pi @ SV122 @ ( input @ SV373 @ SY1866 @ SY1867 ) )
            = ( input @ ( perm_name_name @ SV122 @ SV373 ) @ ( perm_name_name @ SV122 @ SY1866 ) @ ( perm_name_pi @ SV122 @ SY1867 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1239]) ).

thf(1509,plain,
    ! [SV374: name,SV123: name] :
      ( ( ! [SY1868: pi,SY1869: name,SY1870: pi] :
            ( ( input @ SV123 @ SV374 @ SY1868 )
           != ( res @ SY1869 @ SY1870 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1240]) ).

thf(1510,plain,
    ! [SV375: name,SV124: name] :
      ( ( ! [SY1871: pi,SY1872: pi,SY1873: pi] :
            ( ( input @ SV124 @ SV375 @ SY1871 )
           != ( par @ SY1872 @ SY1873 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1241]) ).

thf(1511,plain,
    ! [SV376: name,SV125: name] :
      ( ( ! [SY1874: pi,SY1875: late_residual] :
            ~ ( late_transitions @ ( res @ SV125 @ ( input @ SV125 @ SV376 @ SY1874 ) ) @ SY1875 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1242]) ).

thf(1512,plain,
    ! [SV377: name,SV126: name] :
      ( ( ! [SY1876: pi,SY1877: late_freeRes,SY1878: pi] :
            ~ ( late_transitions @ ( input @ SV126 @ SV377 @ SY1876 ) @ ( late_FreeR @ SY1877 @ SY1878 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1243]) ).

thf(1513,plain,
    ! [SV378: name,SV127: name] :
      ( ( ! [SY1879: name,SY1880: pi,SY1881: late_freeRes,SY1882: pi] :
            ~ ( late_transitions @ ( res @ SV127 @ ( input @ SV378 @ SY1879 @ SY1880 ) ) @ ( late_FreeR @ SY1881 @ SY1882 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1244]) ).

thf(1514,plain,
    ! [SV379: name,SV128: name] :
      ( ( ! [SY1883: pi,SY1884: name,SY1885: name,SY1886: pi] :
            ~ ( late_transitions @ ( input @ SV128 @ SV379 @ SY1883 ) @ ( late_BoundR @ ( late_BoundOutputS @ SY1884 ) @ SY1885 @ SY1886 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1245]) ).

thf(1515,plain,
    ! [SV380: name,SV129: name] :
      ( ( ! [SY1887: pi] : ( late_transitions @ ( input @ SV129 @ SV380 @ SY1887 ) @ ( late_BoundR @ ( late_InputS @ SV129 ) @ SV380 @ SY1887 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1246]) ).

thf(1516,plain,
    ! [SV381: name,SV130: name] :
      ( ( ( SV130 = SV381 )
        | ! [SY1888: pi] : ( late_transitions @ ( input @ SV381 @ SV130 @ SY1888 ) @ ( late_BoundR @ ( late_InputS @ SV381 ) @ SV130 @ SY1888 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1247]) ).

thf(1517,plain,
    ! [SV382: name,SV131: name] :
      ( ( ! [SY1889: pi,SY1890: late_subject] :
            ( ! [SY1891: name,SY1892: pi] :
                ~ ( late_transitions @ ( input @ SV131 @ SV382 @ SY1889 ) @ ( late_BoundR @ SY1890 @ SY1891 @ SY1892 ) )
            | ~ ( fresh_717452603ubject @ SV131 @ SY1890 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1248]) ).

thf(1518,plain,
    ! [SV383: name,SV132: name] :
      ( ( ! [SY1893: name,SY1894: pi,SY1895: name,SY1896: name,SY1897: pi] :
            ~ ( late_transitions @ ( res @ SV132 @ ( input @ SV383 @ SY1893 @ SY1894 ) ) @ ( late_BoundR @ ( late_BoundOutputS @ SY1895 ) @ SY1896 @ SY1897 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1249]) ).

thf(1519,plain,
    ! [SV384: pi,SV133: name] :
      ( ( ~ ( fresh_name_pi @ SV133 @ SV384 )
        | ! [SY1898: name,SY1899: name] :
            ( ( input @ SY1898 @ SY1899 @ SV384 )
            = ( input @ SY1898 @ SV133 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1899 @ SV133 ) @ nil_Pr743626285e_name ) @ SV384 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1250]) ).

thf(1520,plain,
    ! [SV385: name,SV134: name] :
      ( ( ! [SY1900: list_P227219501e_name,SY1901: name] :
            ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV134 @ SV385 ) @ SY1900 ) @ SY1901 )
            = ( swap_name2 @ ( produc1570949143e_name @ SV134 @ SV385 ) @ ( perm_name_name @ SY1900 @ SY1901 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1251]) ).

thf(1521,plain,
    ! [SV135: $o] :
      ( ( ( SV135 = $true )
        = $true )
      | ( ( SV135 = $false )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1252]) ).

thf(1522,plain,
    ( ( ( $true = $true )
      = $true )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1253]) ).

thf(1523,plain,
    ( ( ( $false = $true )
      = $true )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1254]) ).

thf(1524,plain,
    ! [SV386: list_P227219501e_name,SV136: name] :
      ( ( ~ ( fresh_922791155e_name @ SV136 @ SV386 )
        | ! [SY1902: late_subject] :
            ( ~ ( fresh_717452603ubject @ SV136 @ SY1902 )
            | ( fresh_717452603ubject @ SV136 @ ( perm_n1559866809ubject @ SV386 @ SY1902 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1255]) ).

thf(1525,plain,
    ! [SV387: list_P227219501e_name,SV137: name] :
      ( ( ~ ( fresh_922791155e_name @ SV137 @ SV387 )
        | ! [SY1903: late_freeRes] :
            ( ~ ( fresh_1641682979reeRes @ SV137 @ SY1903 )
            | ( fresh_1641682979reeRes @ SV137 @ ( perm_n336613537reeRes @ SV387 @ SY1903 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1256]) ).

thf(1526,plain,
    ! [SV388: list_P227219501e_name,SV138: name] :
      ( ( ~ ( fresh_922791155e_name @ SV138 @ SV388 )
        | ! [SY1904: pi_Rep] :
            ( ~ ( fresh_name_pi_Rep @ SV138 @ SY1904 )
            | ( fresh_name_pi_Rep @ SV138 @ ( perm_name_pi_Rep @ SV388 @ SY1904 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1257]) ).

thf(1527,plain,
    ! [SV389: list_P227219501e_name,SV139: name] :
      ( ( ~ ( fresh_922791155e_name @ SV139 @ SV389 )
        | ! [SY1905: product_unit] :
            ( ~ ( fresh_1143631827t_unit @ SV139 @ SY1905 )
            | ( fresh_1143631827t_unit @ SV139 @ ( perm_n1960409557t_unit @ SV389 @ SY1905 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1258]) ).

thf(1528,plain,
    ! [SV390: list_P227219501e_name,SV140: name] :
      ( ( ~ ( fresh_922791155e_name @ SV140 @ SV390 )
        | ! [SY1906: produc1141751126_pi_pi] :
            ( ~ ( fresh_1376661020_pi_pi @ SV140 @ SY1906 )
            | ( fresh_1376661020_pi_pi @ SV140 @ ( perm_n1255502110_pi_pi @ SV390 @ SY1906 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1259]) ).

thf(1529,plain,
    ! [SV391: list_P227219501e_name,SV141: name] :
      ( ( ~ ( fresh_922791155e_name @ SV141 @ SV391 )
        | ! [SY1907: name] :
            ( ~ ( fresh_name_name @ SV141 @ SY1907 )
            | ( fresh_name_name @ SV141 @ ( perm_name_name @ SV391 @ SY1907 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1260]) ).

thf(1530,plain,
    ! [SV392: list_P227219501e_name,SV142: name] :
      ( ( ~ ( fresh_922791155e_name @ SV142 @ SV392 )
        | ! [SY1908: name > noption_pi] :
            ( ~ ( fresh_543891186ion_pi @ SV142 @ SY1908 )
            | ( fresh_543891186ion_pi @ SV142 @ ( perm_n1667196784ion_pi @ SV392 @ SY1908 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1261]) ).

thf(1531,plain,
    ! [SV393: name,SV147: list_P227219501e_name] :
      ( ( ! [SY1909: late_subject] :
            ( ( perm_name_o @ SV147 @ ( fresh_717452603ubject @ SV393 @ SY1909 ) )
            = ( fresh_717452603ubject @ ( perm_name_name @ SV147 @ SV393 ) @ ( perm_n1559866809ubject @ SV147 @ SY1909 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1266]) ).

thf(1532,plain,
    ! [SV394: name,SV148: list_P227219501e_name] :
      ( ( ! [SY1910: late_freeRes] :
            ( ( perm_name_o @ SV148 @ ( fresh_1641682979reeRes @ SV394 @ SY1910 ) )
            = ( fresh_1641682979reeRes @ ( perm_name_name @ SV148 @ SV394 ) @ ( perm_n336613537reeRes @ SV148 @ SY1910 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1267]) ).

thf(1533,plain,
    ! [SV395: name,SV149: list_P227219501e_name] :
      ( ( ! [SY1911: pi_Rep] :
            ( ( perm_name_o @ SV149 @ ( fresh_name_pi_Rep @ SV395 @ SY1911 ) )
            = ( fresh_name_pi_Rep @ ( perm_name_name @ SV149 @ SV395 ) @ ( perm_name_pi_Rep @ SV149 @ SY1911 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1268]) ).

thf(1534,plain,
    ! [SV396: name,SV150: list_P227219501e_name] :
      ( ( ! [SY1912: product_unit] :
            ( ( perm_name_o @ SV150 @ ( fresh_1143631827t_unit @ SV396 @ SY1912 ) )
            = ( fresh_1143631827t_unit @ ( perm_name_name @ SV150 @ SV396 ) @ ( perm_n1960409557t_unit @ SV150 @ SY1912 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1269]) ).

thf(1535,plain,
    ! [SV397: name,SV151: list_P227219501e_name] :
      ( ( ! [SY1913: produc1141751126_pi_pi] :
            ( ( perm_name_o @ SV151 @ ( fresh_1376661020_pi_pi @ SV397 @ SY1913 ) )
            = ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV151 @ SV397 ) @ ( perm_n1255502110_pi_pi @ SV151 @ SY1913 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1270]) ).

thf(1536,plain,
    ! [SV398: name,SV152: list_P227219501e_name] :
      ( ( ! [SY1914: name] :
            ( ( perm_name_o @ SV152 @ ( fresh_name_name @ SV398 @ SY1914 ) )
            = ( fresh_name_name @ ( perm_name_name @ SV152 @ SV398 ) @ ( perm_name_name @ SV152 @ SY1914 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1271]) ).

thf(1537,plain,
    ! [SV399: name,SV153: list_P227219501e_name] :
      ( ( ! [SY1915: pi] :
            ( ( perm_name_o @ SV153 @ ( fresh_name_pi @ SV399 @ SY1915 ) )
            = ( fresh_name_pi @ ( perm_name_name @ SV153 @ SV399 ) @ ( perm_name_pi @ SV153 @ SY1915 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1272]) ).

thf(1538,plain,
    ! [SV400: name,SV154: list_P227219501e_name] :
      ( ( ! [SY1916: name > noption_pi] :
            ( ( perm_name_o @ SV154 @ ( fresh_543891186ion_pi @ SV400 @ SY1916 ) )
            = ( fresh_543891186ion_pi @ ( perm_name_name @ SV154 @ SV400 ) @ ( perm_n1667196784ion_pi @ SV154 @ SY1916 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1273]) ).

thf(1539,plain,
    ! [SV401: name,SV155: list_P227219501e_name] :
      ( ( ! [SY1917: late_subject] :
            ( ( fresh_717452603ubject @ ( perm_name_name @ SV155 @ SV401 ) @ ( perm_n1559866809ubject @ SV155 @ SY1917 ) )
            = ( fresh_717452603ubject @ SV401 @ SY1917 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1274]) ).

thf(1540,plain,
    ! [SV402: name,SV156: list_P227219501e_name] :
      ( ( ! [SY1918: late_freeRes] :
            ( ( fresh_1641682979reeRes @ ( perm_name_name @ SV156 @ SV402 ) @ ( perm_n336613537reeRes @ SV156 @ SY1918 ) )
            = ( fresh_1641682979reeRes @ SV402 @ SY1918 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1275]) ).

thf(1541,plain,
    ! [SV403: name,SV157: list_P227219501e_name] :
      ( ( ! [SY1919: pi_Rep] :
            ( ( fresh_name_pi_Rep @ ( perm_name_name @ SV157 @ SV403 ) @ ( perm_name_pi_Rep @ SV157 @ SY1919 ) )
            = ( fresh_name_pi_Rep @ SV403 @ SY1919 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1276]) ).

thf(1542,plain,
    ! [SV404: name,SV158: list_P227219501e_name] :
      ( ( ! [SY1920: product_unit] :
            ( ( fresh_1143631827t_unit @ ( perm_name_name @ SV158 @ SV404 ) @ ( perm_n1960409557t_unit @ SV158 @ SY1920 ) )
            = ( fresh_1143631827t_unit @ SV404 @ SY1920 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1277]) ).

thf(1543,plain,
    ! [SV405: name,SV159: list_P227219501e_name] :
      ( ( ! [SY1921: produc1141751126_pi_pi] :
            ( ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV159 @ SV405 ) @ ( perm_n1255502110_pi_pi @ SV159 @ SY1921 ) )
            = ( fresh_1376661020_pi_pi @ SV405 @ SY1921 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1278]) ).

thf(1544,plain,
    ! [SV406: name,SV160: list_P227219501e_name] :
      ( ( ! [SY1922: name] :
            ( ( fresh_name_name @ ( perm_name_name @ SV160 @ SV406 ) @ ( perm_name_name @ SV160 @ SY1922 ) )
            = ( fresh_name_name @ SV406 @ SY1922 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1279]) ).

thf(1545,plain,
    ! [SV407: name,SV161: list_P227219501e_name] :
      ( ( ! [SY1923: name > noption_pi] :
            ( ( fresh_543891186ion_pi @ ( perm_name_name @ SV161 @ SV407 ) @ ( perm_n1667196784ion_pi @ SV161 @ SY1923 ) )
            = ( fresh_543891186ion_pi @ SV407 @ SY1923 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1280]) ).

thf(1546,plain,
    ! [SV408: list_P227219501e_name,SV162: list_P227219501e_name] :
      ( ( ! [SY1924: late_subject] :
            ( ( perm_n1559866809ubject @ SV162 @ ( perm_n1559866809ubject @ SV408 @ SY1924 ) )
            = ( perm_n1559866809ubject @ ( perm_n1160739829e_name @ SV162 @ SV408 ) @ ( perm_n1559866809ubject @ SV162 @ SY1924 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1281]) ).

thf(1547,plain,
    ! [SV409: list_P227219501e_name,SV163: list_P227219501e_name] :
      ( ( ! [SY1925: late_freeRes] :
            ( ( perm_n336613537reeRes @ SV163 @ ( perm_n336613537reeRes @ SV409 @ SY1925 ) )
            = ( perm_n336613537reeRes @ ( perm_n1160739829e_name @ SV163 @ SV409 ) @ ( perm_n336613537reeRes @ SV163 @ SY1925 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1282]) ).

thf(1548,plain,
    ! [SV410: list_P227219501e_name,SV164: list_P227219501e_name] :
      ( ( ! [SY1926: pi_Rep] :
            ( ( perm_name_pi_Rep @ SV164 @ ( perm_name_pi_Rep @ SV410 @ SY1926 ) )
            = ( perm_name_pi_Rep @ ( perm_n1160739829e_name @ SV164 @ SV410 ) @ ( perm_name_pi_Rep @ SV164 @ SY1926 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1283]) ).

thf(1549,plain,
    ! [SV411: list_P227219501e_name,SV165: list_P227219501e_name] :
      ( ( ! [SY1927: name] :
            ( ( perm_name_name @ SV165 @ ( perm_name_name @ SV411 @ SY1927 ) )
            = ( perm_name_name @ ( perm_n1160739829e_name @ SV165 @ SV411 ) @ ( perm_name_name @ SV165 @ SY1927 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1284]) ).

thf(1550,plain,
    ! [SV412: list_P227219501e_name,SV166: list_P227219501e_name] :
      ( ( ! [SY1928: late_subject] :
            ( ( perm_n1559866809ubject @ SV166 @ ( perm_n1559866809ubject @ SV412 @ SY1928 ) )
            = ( perm_n1559866809ubject @ ( perm_n1160739829e_name @ SV166 @ SV412 ) @ ( perm_n1559866809ubject @ SV166 @ SY1928 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1285]) ).

thf(1551,plain,
    ! [SV413: list_P227219501e_name,SV167: list_P227219501e_name] :
      ( ( ! [SY1929: late_freeRes] :
            ( ( perm_n336613537reeRes @ SV167 @ ( perm_n336613537reeRes @ SV413 @ SY1929 ) )
            = ( perm_n336613537reeRes @ ( perm_n1160739829e_name @ SV167 @ SV413 ) @ ( perm_n336613537reeRes @ SV167 @ SY1929 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1286]) ).

thf(1552,plain,
    ! [SV414: list_P227219501e_name,SV168: list_P227219501e_name] :
      ( ( ! [SY1930: pi_Rep] :
            ( ( perm_name_pi_Rep @ SV168 @ ( perm_name_pi_Rep @ SV414 @ SY1930 ) )
            = ( perm_name_pi_Rep @ ( perm_n1160739829e_name @ SV168 @ SV414 ) @ ( perm_name_pi_Rep @ SV168 @ SY1930 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1287]) ).

thf(1553,plain,
    ! [SV415: list_P227219501e_name,SV169: list_P227219501e_name] :
      ( ( ! [SY1931: name] :
            ( ( perm_name_name @ SV169 @ ( perm_name_name @ SV415 @ SY1931 ) )
            = ( perm_name_name @ ( perm_n1160739829e_name @ SV169 @ SV415 ) @ ( perm_name_name @ SV169 @ SY1931 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1288]) ).

thf(1554,plain,
    ! [SV416: list_P227219501e_name,SV170: list_P227219501e_name] :
      ( ( ! [SY1932: late_subject] :
            ( ( perm_n1559866809ubject @ SV170 @ ( perm_n1559866809ubject @ SV416 @ SY1932 ) )
            = ( perm_n1559866809ubject @ ( perm_n1160739829e_name @ SV170 @ SV416 ) @ ( perm_n1559866809ubject @ SV170 @ SY1932 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1289]) ).

thf(1555,plain,
    ! [SV417: list_P227219501e_name,SV171: list_P227219501e_name] :
      ( ( ! [SY1933: late_freeRes] :
            ( ( perm_n336613537reeRes @ SV171 @ ( perm_n336613537reeRes @ SV417 @ SY1933 ) )
            = ( perm_n336613537reeRes @ ( perm_n1160739829e_name @ SV171 @ SV417 ) @ ( perm_n336613537reeRes @ SV171 @ SY1933 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1290]) ).

thf(1556,plain,
    ! [SV418: list_P227219501e_name,SV172: list_P227219501e_name] :
      ( ( ! [SY1934: pi_Rep] :
            ( ( perm_name_pi_Rep @ SV172 @ ( perm_name_pi_Rep @ SV418 @ SY1934 ) )
            = ( perm_name_pi_Rep @ ( perm_n1160739829e_name @ SV172 @ SV418 ) @ ( perm_name_pi_Rep @ SV172 @ SY1934 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1291]) ).

thf(1557,plain,
    ! [SV419: list_P227219501e_name,SV173: list_P227219501e_name] :
      ( ( ! [SY1935: name] :
            ( ( perm_name_name @ SV173 @ ( perm_name_name @ SV419 @ SY1935 ) )
            = ( perm_name_name @ ( perm_n1160739829e_name @ SV173 @ SV419 ) @ ( perm_name_name @ SV173 @ SY1935 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1292]) ).

thf(1558,plain,
    ! [SV420: late_subject,SV174: list_P227219501e_name] :
      ( ( ! [SY1936: late_subject] :
            ( ( ( perm_n1559866809ubject @ SV174 @ SV420 )
              = ( perm_n1559866809ubject @ SV174 @ SY1936 ) )
            = ( SV420 = SY1936 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1293]) ).

thf(1559,plain,
    ! [SV421: late_freeRes,SV175: list_P227219501e_name] :
      ( ( ! [SY1937: late_freeRes] :
            ( ( ( perm_n336613537reeRes @ SV175 @ SV421 )
              = ( perm_n336613537reeRes @ SV175 @ SY1937 ) )
            = ( SV421 = SY1937 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1294]) ).

thf(1560,plain,
    ! [SV422: pi_Rep,SV176: list_P227219501e_name] :
      ( ( ! [SY1938: pi_Rep] :
            ( ( ( perm_name_pi_Rep @ SV176 @ SV422 )
              = ( perm_name_pi_Rep @ SV176 @ SY1938 ) )
            = ( SV422 = SY1938 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1295]) ).

thf(1561,plain,
    ! [SV423: name,SV177: list_P227219501e_name] :
      ( ( ! [SY1939: name] :
            ( ( ( perm_name_name @ SV177 @ SV423 )
              = ( perm_name_name @ SV177 @ SY1939 ) )
            = ( SV423 = SY1939 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1296]) ).

thf(1562,plain,
    ! [SV424: late_subject > late_subject,SV178: list_P227219501e_name] :
      ( ( ! [SY1940: late_subject] :
            ( ( perm_n1559866809ubject @ SV178 @ ( SV424 @ SY1940 ) )
            = ( perm_n1447856217ubject @ SV178 @ SV424 @ ( perm_n1559866809ubject @ SV178 @ SY1940 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1297]) ).

thf(1563,plain,
    ! [SV425: late_freeRes > late_subject,SV179: list_P227219501e_name] :
      ( ( ! [SY1941: late_freeRes] :
            ( ( perm_n1559866809ubject @ SV179 @ ( SV425 @ SY1941 ) )
            = ( perm_n303101761ubject @ SV179 @ SV425 @ ( perm_n336613537reeRes @ SV179 @ SY1941 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1298]) ).

thf(1564,plain,
    ! [SV426: pi_Rep > late_subject,SV180: list_P227219501e_name] :
      ( ( ! [SY1942: pi_Rep] :
            ( ( perm_n1559866809ubject @ SV180 @ ( SV426 @ SY1942 ) )
            = ( perm_n698371375ubject @ SV180 @ SV426 @ ( perm_name_pi_Rep @ SV180 @ SY1942 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1299]) ).

thf(1565,plain,
    ! [SV427: name > late_subject,SV181: list_P227219501e_name] :
      ( ( ! [SY1943: name] :
            ( ( perm_n1559866809ubject @ SV181 @ ( SV427 @ SY1943 ) )
            = ( perm_n1387060402ubject @ SV181 @ SV427 @ ( perm_name_name @ SV181 @ SY1943 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1300]) ).

thf(1566,plain,
    ! [SV428: late_subject > late_freeRes,SV182: list_P227219501e_name] :
      ( ( ! [SY1944: late_subject] :
            ( ( perm_n336613537reeRes @ SV182 @ ( SV428 @ SY1944 ) )
            = ( perm_n443561793reeRes @ SV182 @ SV428 @ ( perm_n1559866809ubject @ SV182 @ SY1944 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1301]) ).

thf(1567,plain,
    ! [SV429: late_freeRes > late_freeRes,SV183: list_P227219501e_name] :
      ( ( ! [SY1945: late_freeRes] :
            ( ( perm_n336613537reeRes @ SV183 @ ( SV429 @ SY1945 ) )
            = ( perm_n1446290985reeRes @ SV183 @ SV429 @ ( perm_n336613537reeRes @ SV183 @ SY1945 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1302]) ).

thf(1568,plain,
    ! [SV430: pi_Rep > late_freeRes,SV184: list_P227219501e_name] :
      ( ( ! [SY1946: pi_Rep] :
            ( ( perm_n336613537reeRes @ SV184 @ ( SV430 @ SY1946 ) )
            = ( perm_n1841560599reeRes @ SV184 @ SV430 @ ( perm_name_pi_Rep @ SV184 @ SY1946 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1303]) ).

thf(1569,plain,
    ! [SV431: name > late_freeRes,SV185: list_P227219501e_name] :
      ( ( ! [SY1947: name] :
            ( ( perm_n336613537reeRes @ SV185 @ ( SV431 @ SY1947 ) )
            = ( perm_n382765978reeRes @ SV185 @ SV431 @ ( perm_name_name @ SV185 @ SY1947 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1304]) ).

thf(1570,plain,
    ! [SV432: late_subject,SV186: list_P227219501e_name] :
      ( ( ! [SY1948: late_subject] :
            ( ( perm_name_o @ SV186 @ ( SV432 = SY1948 ) )
            = ( ( perm_n1559866809ubject @ SV186 @ SV432 )
              = ( perm_n1559866809ubject @ SV186 @ SY1948 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1305]) ).

thf(1571,plain,
    ! [SV433: late_freeRes,SV187: list_P227219501e_name] :
      ( ( ! [SY1949: late_freeRes] :
            ( ( perm_name_o @ SV187 @ ( SV433 = SY1949 ) )
            = ( ( perm_n336613537reeRes @ SV187 @ SV433 )
              = ( perm_n336613537reeRes @ SV187 @ SY1949 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1306]) ).

thf(1572,plain,
    ! [SV434: pi_Rep,SV188: list_P227219501e_name] :
      ( ( ! [SY1950: pi_Rep] :
            ( ( perm_name_o @ SV188 @ ( SV434 = SY1950 ) )
            = ( ( perm_name_pi_Rep @ SV188 @ SV434 )
              = ( perm_name_pi_Rep @ SV188 @ SY1950 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1307]) ).

thf(1573,plain,
    ! [SV435: name,SV189: list_P227219501e_name] :
      ( ( ! [SY1951: name] :
            ( ( perm_name_o @ SV189 @ ( SV435 = SY1951 ) )
            = ( ( perm_name_name @ SV189 @ SV435 )
              = ( perm_name_name @ SV189 @ SY1951 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1308]) ).

thf(1574,plain,
    ! [SV436: name,SV190: pi] :
      ( ( ! [SY1952: name,SY1953: pi,SY1954: pi] :
            ( ~ ( late_transitions @ SV190 @ ( late_BoundR @ ( late_BoundOutputS @ SV436 ) @ SY1952 @ SY1953 ) )
            | ! [SY1955: name,SY1956: pi] :
                ( ~ ( late_transitions @ SY1954 @ ( late_BoundR @ ( late_InputS @ SV436 ) @ SY1955 @ SY1956 ) )
                | ~ ( fresh_name_pi @ SY1955 @ SV190 )
                | ~ ( fresh_name_pi @ SY1955 @ SY1954 )
                | ~ ( fresh_name_pi @ SY1952 @ SV190 )
                | ~ ( fresh_name_pi @ SY1952 @ SY1954 )
                | ( SY1955 = SV436 )
                | ~ ( fresh_name_pi @ SY1955 @ SY1953 )
                | ( SY1952 = SV436 )
                | ~ ( fresh_name_pi @ SY1952 @ SY1956 )
                | ( SY1955 = SY1952 )
                | ( late_transitions @ ( par @ SV190 @ SY1954 ) @ ( late_FreeR @ late_TauR @ ( res @ SY1952 @ ( par @ SY1953 @ ( subs @ SY1956 @ SY1955 @ SY1952 ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1309]) ).

thf(1575,plain,
    ! [SV437: name,SV191: pi] :
      ( ( ! [SY1957: name,SY1958: pi,SY1959: pi] :
            ( ~ ( late_transitions @ SV191 @ ( late_BoundR @ ( late_InputS @ SV437 ) @ SY1957 @ SY1958 ) )
            | ! [SY1960: name,SY1961: pi] :
                ( ~ ( late_transitions @ SY1959 @ ( late_BoundR @ ( late_BoundOutputS @ SV437 ) @ SY1960 @ SY1961 ) )
                | ~ ( fresh_name_pi @ SY1957 @ SV191 )
                | ~ ( fresh_name_pi @ SY1957 @ SY1959 )
                | ~ ( fresh_name_pi @ SY1960 @ SV191 )
                | ~ ( fresh_name_pi @ SY1960 @ SY1959 )
                | ( SY1957 = SV437 )
                | ~ ( fresh_name_pi @ SY1957 @ SY1961 )
                | ( SY1960 = SV437 )
                | ~ ( fresh_name_pi @ SY1960 @ SY1958 )
                | ( SY1957 = SY1960 )
                | ( late_transitions @ ( par @ SV191 @ SY1959 ) @ ( late_FreeR @ late_TauR @ ( res @ SY1960 @ ( par @ ( subs @ SY1958 @ SY1957 @ SY1960 ) @ SY1961 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1310]) ).

thf(1576,plain,
    ! [SV438: name,SV192: pi] :
      ( ( ! [SY1962: name,SY1963: pi,SY1964: pi] :
            ( ~ ( late_transitions @ SV192 @ ( late_BoundR @ ( late_BoundOutputS @ SV438 ) @ SY1962 @ SY1963 ) )
            | ! [SY1965: name,SY1966: pi] :
                ( ~ ( late_transitions @ SY1964 @ ( late_BoundR @ ( late_InputS @ SV438 ) @ SY1965 @ SY1966 ) )
                | ~ ( fresh_name_pi @ SY1962 @ SY1964 )
                | ( late_transitions @ ( par @ SV192 @ SY1964 ) @ ( late_FreeR @ late_TauR @ ( res @ SY1962 @ ( par @ SY1963 @ ( subs @ SY1966 @ SY1965 @ SY1962 ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1311]) ).

thf(1577,plain,
    ! [SV439: name,SV193: pi] :
      ( ( ! [SY1967: name,SY1968: pi,SY1969: pi] :
            ( ~ ( late_transitions @ SV193 @ ( late_BoundR @ ( late_InputS @ SV439 ) @ SY1967 @ SY1968 ) )
            | ! [SY1970: name,SY1971: pi] :
                ( ~ ( late_transitions @ SY1969 @ ( late_BoundR @ ( late_BoundOutputS @ SV439 ) @ SY1970 @ SY1971 ) )
                | ~ ( fresh_name_pi @ SY1970 @ SV193 )
                | ( late_transitions @ ( par @ SV193 @ SY1969 ) @ ( late_FreeR @ late_TauR @ ( res @ SY1970 @ ( par @ ( subs @ SY1968 @ SY1967 @ SY1970 ) @ SY1971 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1312]) ).

thf(1578,plain,
    ! [SV440: name,SV194: pi] :
      ( ( ! [SY1972: name,SY1973: pi,SY1974: pi] :
            ( ~ ( late_transitions @ SV194 @ ( late_FreeR @ ( late_OutputR @ SV440 @ SY1972 ) @ SY1973 ) )
            | ! [SY1975: name,SY1976: pi] :
                ( ~ ( late_transitions @ SY1974 @ ( late_BoundR @ ( late_InputS @ SV440 ) @ SY1975 @ SY1976 ) )
                | ~ ( fresh_name_pi @ SY1975 @ SV194 )
                | ~ ( fresh_name_pi @ SY1975 @ SY1974 )
                | ( SY1975 = SV440 )
                | ( SY1975 = SY1972 )
                | ~ ( fresh_name_pi @ SY1975 @ SY1973 )
                | ( late_transitions @ ( par @ SV194 @ SY1974 ) @ ( late_FreeR @ late_TauR @ ( par @ SY1973 @ ( subs @ SY1976 @ SY1975 @ SY1972 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1313]) ).

thf(1579,plain,
    ! [SV441: name,SV195: pi] :
      ( ( ! [SY1977: name,SY1978: pi,SY1979: pi] :
            ( ~ ( late_transitions @ SV195 @ ( late_BoundR @ ( late_InputS @ SV441 ) @ SY1977 @ SY1978 ) )
            | ! [SY1980: name,SY1981: pi] :
                ( ~ ( late_transitions @ SY1979 @ ( late_FreeR @ ( late_OutputR @ SV441 @ SY1980 ) @ SY1981 ) )
                | ~ ( fresh_name_pi @ SY1977 @ SV195 )
                | ~ ( fresh_name_pi @ SY1977 @ SY1979 )
                | ( SY1977 = SV441 )
                | ( SY1977 = SY1980 )
                | ~ ( fresh_name_pi @ SY1977 @ SY1981 )
                | ( late_transitions @ ( par @ SV195 @ SY1979 ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ SY1978 @ SY1977 @ SY1980 ) @ SY1981 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1314]) ).

thf(1580,plain,
    ! [SV442: name,SV196: pi] :
      ( ( ! [SY1982: name,SY1983: pi,SY1984: pi] :
            ( ~ ( late_transitions @ SV196 @ ( late_FreeR @ ( late_OutputR @ SV442 @ SY1982 ) @ SY1983 ) )
            | ! [SY1985: name,SY1986: pi] :
                ( ~ ( late_transitions @ SY1984 @ ( late_BoundR @ ( late_InputS @ SV442 ) @ SY1985 @ SY1986 ) )
                | ( late_transitions @ ( par @ SV196 @ SY1984 ) @ ( late_FreeR @ late_TauR @ ( par @ SY1983 @ ( subs @ SY1986 @ SY1985 @ SY1982 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1315]) ).

thf(1581,plain,
    ! [SV443: name,SV197: pi] :
      ( ( ! [SY1987: name,SY1988: pi,SY1989: pi] :
            ( ~ ( late_transitions @ SV197 @ ( late_BoundR @ ( late_InputS @ SV443 ) @ SY1987 @ SY1988 ) )
            | ! [SY1990: name,SY1991: pi] :
                ( ~ ( late_transitions @ SY1989 @ ( late_FreeR @ ( late_OutputR @ SV443 @ SY1990 ) @ SY1991 ) )
                | ( late_transitions @ ( par @ SV197 @ SY1989 ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ SY1988 @ SY1987 @ SY1990 ) @ SY1991 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1316]) ).

thf(1582,plain,
    ! [SV444: late_freeRes,SV200: list_P227219501e_name] :
      ( ( ! [SY1992: pi] :
            ( ( perm_n414416632sidual @ SV200 @ ( late_FreeR @ SV444 @ SY1992 ) )
            = ( late_FreeR @ ( perm_n336613537reeRes @ SV200 @ SV444 ) @ ( perm_name_pi @ SV200 @ SY1992 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1319]) ).

thf(1583,plain,
    ! [SV445: name,SV201: list_P227219501e_name] :
      ( ( ! [SY1993: name] :
            ( ( perm_n336613537reeRes @ SV201 @ ( late_OutputR @ SV445 @ SY1993 ) )
            = ( late_OutputR @ ( perm_name_name @ SV201 @ SV445 ) @ ( perm_name_name @ SV201 @ SY1993 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1320]) ).

thf(1584,plain,
    ! [SV446: name,SV202: list_P227219501e_name] :
      ( ( ( perm_n1559866809ubject @ SV202 @ ( late_InputS @ SV446 ) )
        = ( late_InputS @ ( perm_name_name @ SV202 @ SV446 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1321]) ).

thf(1585,plain,
    ! [SV447: name,SV203: name] :
      ( ( ( fresh_717452603ubject @ SV203 @ ( late_InputS @ SV447 ) )
        = ( fresh_name_name @ SV203 @ SV447 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1322]) ).

thf(1586,plain,
    ! [SV448: late_subject,SV204: list_P227219501e_name] :
      ( ( ! [SY1994: name,SY1995: pi] :
            ( ( perm_n414416632sidual @ SV204 @ ( late_BoundR @ SV448 @ SY1994 @ SY1995 ) )
            = ( late_BoundR @ ( perm_n1559866809ubject @ SV204 @ SV448 ) @ ( perm_name_name @ SV204 @ SY1994 ) @ ( perm_name_pi @ SV204 @ SY1995 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1323]) ).

thf(1587,plain,
    ! [SV449: name,SV205: list_P227219501e_name] :
      ( ( ! [SY1996: name] :
            ( ( ( perm_name_name @ SV205 @ SV449 )
              = ( perm_name_name @ SV205 @ SY1996 ) )
            = ( SV449 = SY1996 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1324]) ).

thf(1588,plain,
    ! [SV450: late_freeRes,SV206: pi] :
      ( ( ! [SY1997: pi] :
            ~ ( late_transitions @ SV206 @ ( late_FreeR @ SV450 @ SY1997 ) )
        | ! [SY1998: name] :
            ( ~ ( fresh_name_pi @ SY1998 @ SV206 )
            | ( fresh_1641682979reeRes @ SY1998 @ SV450 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1325]) ).

thf(1589,plain,
    ! [SV207: late_freeRes > $o] :
      ( ( ( ~ ( SV207 @ ( late_OutputR @ ( sK62_Name1 @ SV207 ) @ ( sK63_SY1045 @ SV207 ) ) ) )
        = $true )
      | ( ( ~ ( SV207 @ late_TauR )
          | ! [SY1568: late_freeRes] : ( SV207 @ SY1568 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1326]) ).

thf(1590,plain,
    ! [SV451: name,SV208: name] :
      ( ( ( late_OutputR @ SV208 @ SV451 )
       != late_TauR )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1327]) ).

thf(1591,plain,
    ! [SV452: pi,SV209: pi] :
      ( ( ! [SY1999: late_subject,SY2000: name,SY2001: set_Pr1834926343_pi_pi] :
            ( ~ ( strong2129052853vative @ SV209 @ SV452 @ SY1999 @ SY2000 @ SY2001 )
            | ~ ( eqvt_pi @ SY2001 )
            | ! [SY2002: list_P227219501e_name] : ( strong2129052853vative @ ( perm_name_pi @ SY2002 @ SV209 ) @ ( perm_name_pi @ SY2002 @ SV452 ) @ ( perm_n1559866809ubject @ SY2002 @ SY1999 ) @ ( perm_name_name @ SY2002 @ SY2000 ) @ SY2001 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1328]) ).

thf(1592,plain,
    ! [SV453: name] :
      ( ( ( fresh_name_name @ SV453 )
        = ( ^ [SY2003: name] : ( SV453 != SY2003 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1329]) ).

thf(1593,plain,
    ! [SV454: late_subject,SV213: late_subject] :
      ( ( ( SV213 != SV454 )
        | ! [SY2004: list_P227219501e_name] :
            ( ( perm_n1559866809ubject @ SY2004 @ SV213 )
            = ( perm_n1559866809ubject @ SY2004 @ SV454 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1333]) ).

thf(1594,plain,
    ! [SV455: late_freeRes,SV214: late_freeRes] :
      ( ( ( SV214 != SV455 )
        | ! [SY2005: list_P227219501e_name] :
            ( ( perm_n336613537reeRes @ SY2005 @ SV214 )
            = ( perm_n336613537reeRes @ SY2005 @ SV455 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1334]) ).

thf(1595,plain,
    ! [SV456: pi_Rep,SV215: pi_Rep] :
      ( ( ( SV215 != SV456 )
        | ! [SY2006: list_P227219501e_name] :
            ( ( perm_name_pi_Rep @ SY2006 @ SV215 )
            = ( perm_name_pi_Rep @ SY2006 @ SV456 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1335]) ).

thf(1596,plain,
    ! [SV457: name,SV216: name] :
      ( ( ( SV216 != SV457 )
        | ! [SY2007: list_P227219501e_name] :
            ( ( perm_name_name @ SY2007 @ SV216 )
            = ( perm_name_name @ SY2007 @ SV457 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1336]) ).

thf(1597,plain,
    ! [SV458: name,SV217: name] :
      ( ( ! [SY2008: product_prod_pi_pi] :
            ~ ( fresh_1376661020_pi_pi @ SV217 @ ( produc235456326_pi_pi @ SV458 @ SY2008 ) )
        | ( fresh_name_name @ SV217 @ SV458 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1337]) ).

thf(1598,plain,
    ! [SV459: name,SV218: name] :
      ( ( ( ( late_InputS @ SV218 )
          = ( late_InputS @ SV459 ) )
        = ( SV218 = SV459 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1338]) ).

thf(1599,plain,
    ! [SV460: name,SV219: name] :
      ( ( ( late_OutputR @ SV219 @ SV460 )
       != late_TauR )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1339]) ).

thf(1600,plain,
    ! [SV220: late_freeRes] :
      ( ( ( SV220
          = ( late_OutputR @ ( sK1_X112 @ SV220 ) @ ( sK2_SY971 @ SV220 ) ) )
        = $true )
      | ( ( SV220 = late_TauR )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1340]) ).

thf(1601,plain,
    ! [SV221: product_unit > $o] :
      ( ( ( ~ ( SV221 @ product_Unity ) )
        = $true )
      | ( ( ! [SY1588: product_unit] : ( SV221 @ SY1588 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1341]) ).

thf(1602,plain,
    ! [SV461: produc367475239e_name] :
      ( ( ( swap_name2 @ SV461 )
        = ( swap_name @ SV461 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1343]) ).

thf(1603,plain,
    ! [SV462: name,SV224: name] :
      ( ( ! [SY2009: pi] :
            ( ( fresh_name_pi @ SV224 @ ( res @ SV462 @ SY2009 ) )
            = ( fresh_543891186ion_pi @ SV224 @ ( abs_fun_name_pi @ SV462 @ SY2009 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1345]) ).

thf(1604,plain,
    ! [SV463: pi,SV225: pi] :
      ( ( ( if_pi @ $false @ SV225 @ SV463 )
        = SV463 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1346]) ).

thf(1605,plain,
    ! [SV464: pi,SV226: pi] :
      ( ( ( if_pi @ $true @ SV226 @ SV464 )
        = SV226 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1347]) ).

thf(1606,plain,
    ! [SV227: pi] :
      ( ( ( ~ ( late_transitions @ ( par @ p @ ( res @ x @ q ) ) @ ( late_BoundR @ ( late_BoundOutputS @ ab ) @ y @ SV227 ) ) )
        = $true )
      | ( ( ~ ( strong2129052853vative @ SV227 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ ( par @ ( subs @ p2 @ ya @ c ) @ q2 ) ) @ ( late_BoundOutputS @ ab ) @ y @ rel ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1348]) ).

thf(1607,plain,
    ! [SV228: pi > late_residual > $o] :
      ( ( ( ~ ( ~ ( fresh_name_pi @ ( sK35_SY1011 @ SV228 ) @ ( sK37_SY1016 @ SV228 ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK35_SY1011 @ SV228 ) @ ( sK34_Subject2 @ SV228 ) )
                    | ~ ~ ( SV228 @ ( sK37_SY1016 @ SV228 ) @ ( late_BoundR @ ( sK34_Subject2 @ SV228 ) @ ( sK35_SY1011 @ SV228 ) @ ( sK36_SY1014 @ SV228 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( SV228 @ ( sK33_SY1010 @ SV228 ) @ ( late_FreeR @ ( sK31_FreeRes2 @ SV228 ) @ ( sK32_SY1008 @ SV228 ) ) )
          | ! [SY1593: pi,SY1594: late_residual] : ( SV228 @ SY1593 @ SY1594 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1349]) ).

thf(1608,plain,
    ! [SV465: pi,SV229: pi] :
      ( ( ! [SY2010: late_subject,SY2011: name,SY2012: pi] :
            ( ~ ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SY2010 @ SY2011 @ SY2012 ) )
            | ~ ( ( ( par @ SV229 @ SV465 )
                 != ( par @ ( sK108_P5 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) ) )
                | ~ ~ ( ( ( late_BoundR @ SY2010 @ SY2011 @ SY2012 )
                       != ( late_BoundR @ ( sK109_SY1098 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) ) ) )
                      | ~ ~ ( ~ ( late_transitions @ ( sK108_P5 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) @ ( sK108_P5 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) )
                                  | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) )
                                        | ~ ( fresh_717452603ubject @ ( sK110_SY1102 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) ) ) ) ) ) )
            | ~ ( ( ( par @ SV229 @ SV465 )
                 != ( par @ ( sK107_SY1097 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) ) )
                | ~ ~ ( ( ( late_BoundR @ SY2010 @ SY2011 @ SY2012 )
                       != ( late_BoundR @ ( sK104_SY1088 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) ) ) )
                      | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) )
                                  | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) )
                                        | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SY2012 @ SY2011 @ SY2010 @ SV465 @ SV229 ) ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1350]) ).

thf(1609,plain,
    ! [SV466: pi,SV230: pi] :
      ( ( ! [SY2013: late_subject,SY2014: name,SY2015: pi] :
            ( ~ ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SY2013 @ SY2014 @ SY2015 ) )
            | ~ ( fresh_name_pi @ SY2014 @ SV230 )
            | ~ ( fresh_name_pi @ SY2014 @ SV466 )
            | ! [SY2016: pi > $o] :
                ( ~ ( ~ ( late_transitions @ SV230 @ ( late_BoundR @ SY2013 @ SY2014 @ ( sK95_P4 @ SY2016 @ SY2015 @ SY2014 @ SY2013 @ SV466 @ SV230 ) ) )
                    | ~ ~ ( SY2016 @ ( par @ ( sK95_P4 @ SY2016 @ SY2015 @ SY2014 @ SY2013 @ SV466 @ SV230 ) @ SV466 ) ) )
                | ~ ( ~ ( late_transitions @ SV466 @ ( late_BoundR @ SY2013 @ SY2014 @ ( sK94_Q4 @ SY2016 @ SY2015 @ SY2014 @ SY2013 @ SV466 @ SV230 ) ) )
                    | ~ ~ ( SY2016 @ ( par @ SV230 @ ( sK94_Q4 @ SY2016 @ SY2015 @ SY2014 @ SY2013 @ SV466 @ SV230 ) ) ) )
                | ( SY2016 @ SY2015 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1351]) ).

thf(1610,plain,
    ! [SV231: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( ~ ( ~ ( fresh_1376661020_pi_pi @ ( sK21_SY993 @ SV231 ) @ ( sK23_SY998 @ SV231 ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK21_SY993 @ SV231 ) @ ( sK20_Subject2 @ SV231 ) )
                    | ~ ~ ( SV231 @ ( sK23_SY998 @ SV231 ) @ ( late_BoundR @ ( sK20_Subject2 @ SV231 ) @ ( sK21_SY993 @ SV231 ) @ ( sK22_SY996 @ SV231 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( SV231 @ ( sK19_SY992 @ SV231 ) @ ( late_FreeR @ ( sK17_FreeRes2 @ SV231 ) @ ( sK18_SY990 @ SV231 ) ) )
          | ! [SY1604: produc1141751126_pi_pi,SY1605: late_residual] : ( SV231 @ SY1604 @ SY1605 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1352]) ).

thf(1611,plain,
    ! [SV467: pi,SV232: name] :
      ( ( ! [SY2017: late_subject,SY2018: name,SY2019: pi] :
            ( ~ ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SY2017 @ SY2018 @ SY2019 ) )
            | ~ ( ( ( res @ SV232 @ SV467 )
                 != ( res @ ( sK71_SY1059 @ SY2019 @ SY2018 @ SY2017 @ SV467 @ SV232 ) @ ( sK69_P5 @ SY2019 @ SY2018 @ SY2017 @ SV467 @ SV232 ) ) )
                | ~ ~ ( ( ( late_BoundR @ SY2017 @ SY2018 @ SY2019 )
                       != ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SY2019 @ SY2018 @ SY2017 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SY2019 @ SY2018 @ SY2017 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SY2019 @ SY2018 @ SY2017 @ SV467 @ SV232 ) ) )
                      | ~ ~ ( ~ ( late_transitions @ ( sK69_P5 @ SY2019 @ SY2018 @ SY2017 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SY2019 @ SY2018 @ SY2017 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SY2019 @ SY2018 @ SY2017 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SY2019 @ SY2018 @ SY2017 @ SV467 @ SV232 ) ) )
                            | ~ ( ( ( sK70_SY1056 @ SY2019 @ SY2018 @ SY2017 @ SV467 @ SV232 )
                                 != ( sK71_SY1059 @ SY2019 @ SY2018 @ SY2017 @ SV467 @ SV232 ) ) ) ) ) )
            | ~ ( ( ( res @ SV232 @ SV467 )
                 != ( res @ ( sK68_SY1055 @ SY2019 @ SY2018 @ SY2017 @ SV467 @ SV232 ) @ ( sK64_P5 @ SY2019 @ SY2018 @ SY2017 @ SV467 @ SV232 ) ) )
                | ~ ~ ( ( ( late_BoundR @ SY2017 @ SY2018 @ SY2019 )
                       != ( late_BoundR @ ( sK65_SY1046 @ SY2019 @ SY2018 @ SY2017 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SY2019 @ SY2018 @ SY2017 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SY2019 @ SY2018 @ SY2017 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SY2019 @ SY2018 @ SY2017 @ SV467 @ SV232 ) ) ) )
                      | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SY2019 @ SY2018 @ SY2017 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SY2019 @ SY2018 @ SY2017 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SY2019 @ SY2018 @ SY2017 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SY2019 @ SY2018 @ SY2017 @ SV467 @ SV232 ) ) )
                            | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SY2019 @ SY2018 @ SY2017 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SY2019 @ SY2018 @ SY2017 @ SV467 @ SV232 ) )
                                  | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SY2019 @ SY2018 @ SY2017 @ SV467 @ SV232 )
                                             != ( sK66_SY1050 @ SY2019 @ SY2018 @ SY2017 @ SV467 @ SV232 ) ) )
                                        | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SY2019 @ SY2018 @ SY2017 @ SV467 @ SV232 ) @ ( sK64_P5 @ SY2019 @ SY2018 @ SY2017 @ SV467 @ SV232 ) )
                                              | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SY2019 @ SY2018 @ SY2017 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SY2019 @ SY2018 @ SY2017 @ SV467 @ SV232 ) ) ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1353]) ).

thf(1612,plain,
    ! [SV468: list_P227219501e_name,SV233: $o] :
      ( ( ~ ( ~ ( ~ SV233
                | ! [SY2020: late_freeRes,SY2021: late_freeRes] :
                    ( ( perm_n336613537reeRes @ SV468 @ ( if_Late_freeRes @ SV233 @ SY2020 @ SY2021 ) )
                    = ( perm_n336613537reeRes @ SV468 @ SY2020 ) ) )
            | ~ ( SV233
                | ! [SY2022: late_freeRes,SY2023: late_freeRes] :
                    ( ( perm_n336613537reeRes @ SV468 @ ( if_Late_freeRes @ SV233 @ SY2022 @ SY2023 ) )
                    = ( perm_n336613537reeRes @ SV468 @ SY2023 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1354]) ).

thf(1613,plain,
    ! [SV469: list_P227219501e_name] :
      ( ( ~ ( ~ ( ~ $true
                | ! [SY2024: late_freeRes,SY2025: late_freeRes] :
                    ( ( perm_n336613537reeRes @ SV469 @ ( if_Late_freeRes @ $true @ SY2024 @ SY2025 ) )
                    = ( perm_n336613537reeRes @ SV469 @ SY2024 ) ) )
            | ~ ( $true
                | ! [SY2026: late_freeRes,SY2027: late_freeRes] :
                    ( ( perm_n336613537reeRes @ SV469 @ ( if_Late_freeRes @ $true @ SY2026 @ SY2027 ) )
                    = ( perm_n336613537reeRes @ SV469 @ SY2027 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1355]) ).

thf(1614,plain,
    ! [SV470: list_P227219501e_name] :
      ( ( ~ ( ~ ( ~ $false
                | ! [SY2028: late_freeRes,SY2029: late_freeRes] :
                    ( ( perm_n336613537reeRes @ SV470 @ ( if_Late_freeRes @ $false @ SY2028 @ SY2029 ) )
                    = ( perm_n336613537reeRes @ SV470 @ SY2028 ) ) )
            | ~ ( $false
                | ! [SY2030: late_freeRes,SY2031: late_freeRes] :
                    ( ( perm_n336613537reeRes @ SV470 @ ( if_Late_freeRes @ $false @ SY2030 @ SY2031 ) )
                    = ( perm_n336613537reeRes @ SV470 @ SY2031 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1356]) ).

thf(1615,plain,
    ! [SV471: late_freeRes,SV234: name] :
      ( ( ! [SY2032: pi] :
            ( ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SY2032 ) )
            = ( ~ ( ~ ( fresh_1641682979reeRes @ SV234 @ SV471 )
                  | ~ ( fresh_name_pi @ SV234 @ SY2032 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1357]) ).

thf(1616,plain,
    ! [SV472: list_P227219501e_name,SV235: $o] :
      ( ( ~ ( ~ ( ~ SV235
                | ! [SY2033: pi,SY2034: pi] :
                    ( ( perm_name_pi @ SV472 @ ( if_pi @ SV235 @ SY2033 @ SY2034 ) )
                    = ( perm_name_pi @ SV472 @ SY2033 ) ) )
            | ~ ( SV235
                | ! [SY2035: pi,SY2036: pi] :
                    ( ( perm_name_pi @ SV472 @ ( if_pi @ SV235 @ SY2035 @ SY2036 ) )
                    = ( perm_name_pi @ SV472 @ SY2036 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1358]) ).

thf(1617,plain,
    ! [SV473: list_P227219501e_name] :
      ( ( ~ ( ~ ( ~ $true
                | ! [SY2037: pi,SY2038: pi] :
                    ( ( perm_name_pi @ SV473 @ ( if_pi @ $true @ SY2037 @ SY2038 ) )
                    = ( perm_name_pi @ SV473 @ SY2037 ) ) )
            | ~ ( $true
                | ! [SY2039: pi,SY2040: pi] :
                    ( ( perm_name_pi @ SV473 @ ( if_pi @ $true @ SY2039 @ SY2040 ) )
                    = ( perm_name_pi @ SV473 @ SY2040 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1359]) ).

thf(1618,plain,
    ! [SV474: list_P227219501e_name] :
      ( ( ~ ( ~ ( ~ $false
                | ! [SY2041: pi,SY2042: pi] :
                    ( ( perm_name_pi @ SV474 @ ( if_pi @ $false @ SY2041 @ SY2042 ) )
                    = ( perm_name_pi @ SV474 @ SY2041 ) ) )
            | ~ ( $false
                | ! [SY2043: pi,SY2044: pi] :
                    ( ( perm_name_pi @ SV474 @ ( if_pi @ $false @ SY2043 @ SY2044 ) )
                    = ( perm_name_pi @ SV474 @ SY2044 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1360]) ).

thf(1619,plain,
    ! [SV475: pi,SV236: name] :
      ( ( ! [SY2045: late_residual] :
            ( ~ ( late_transitions @ ( res @ SV236 @ SV475 ) @ SY2045 )
            | ~ ( ( ( res @ SV236 @ SV475 )
                 != ( res @ ( sK84_SY1081 @ SY2045 @ SV475 @ SV236 ) @ ( sK82_P5 @ SY2045 @ SV475 @ SV236 ) ) )
                | ~ ~ ( ( SY2045
                       != ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SY2045 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SY2045 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SY2045 @ SV475 @ SV236 ) ) )
                      | ~ ~ ( ~ ( late_transitions @ ( sK82_P5 @ SY2045 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SY2045 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SY2045 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SY2045 @ SV475 @ SV236 ) ) )
                            | ~ ( ( ( sK83_SY1078 @ SY2045 @ SV475 @ SV236 )
                                 != ( sK84_SY1081 @ SY2045 @ SV475 @ SV236 ) ) ) ) ) )
            | ~ ( ( ( res @ SV236 @ SV475 )
                 != ( res @ ( sK81_SY1077 @ SY2045 @ SV475 @ SV236 ) @ ( sK77_P5 @ SY2045 @ SV475 @ SV236 ) ) )
                | ~ ~ ( ( SY2045
                       != ( late_BoundR @ ( sK78_SY1068 @ SY2045 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SY2045 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SY2045 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SY2045 @ SV475 @ SV236 ) ) ) )
                      | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SY2045 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SY2045 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SY2045 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SY2045 @ SV475 @ SV236 ) ) )
                            | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SY2045 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SY2045 @ SV475 @ SV236 ) )
                                  | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SY2045 @ SV475 @ SV236 )
                                             != ( sK79_SY1072 @ SY2045 @ SV475 @ SV236 ) ) )
                                        | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SY2045 @ SV475 @ SV236 ) @ ( sK77_P5 @ SY2045 @ SV475 @ SV236 ) )
                                              | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SY2045 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SY2045 @ SV475 @ SV236 ) ) ) ) ) ) ) )
            | ~ ( ( ( res @ SV236 @ SV475 )
                 != ( res @ ( sK76_SY1067 @ SY2045 @ SV475 @ SV236 ) @ ( sK73_P5 @ SY2045 @ SV475 @ SV236 ) ) )
                | ~ ~ ( ( SY2045
                       != ( late_FreeR @ ( sK74_SY1062 @ SY2045 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SY2045 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SY2045 @ SV475 @ SV236 ) ) ) )
                      | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SY2045 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SY2045 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SY2045 @ SV475 @ SV236 ) ) )
                            | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SY2045 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SY2045 @ SV475 @ SV236 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1361]) ).

thf(1620,plain,
    ! [SV476: $o,SV237: list_P227219501e_name] :
      ( ( ~ ( ~ ( ~ ( perm_name_o @ SV237 @ SV476 )
                | ! [SY2046: late_freeRes,SY2047: late_freeRes] :
                    ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ SV476 @ SY2046 @ SY2047 ) )
                    = ( perm_n336613537reeRes @ SV237 @ SY2046 ) ) )
            | ~ ( ( perm_name_o @ SV237 @ SV476 )
                | ! [SY2048: late_freeRes,SY2049: late_freeRes] :
                    ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ SV476 @ SY2048 @ SY2049 ) )
                    = ( perm_n336613537reeRes @ SV237 @ SY2049 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1362]) ).

thf(1621,plain,
    ! [SV237: list_P227219501e_name] :
      ( ( ~ ( ~ ( ~ ( perm_name_o @ SV237 @ $true )
                | ! [SX0: late_freeRes,SX1: late_freeRes] :
                    ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ $true @ SX0 @ SX1 ) )
                    = ( perm_n336613537reeRes @ SV237 @ SX0 ) ) )
            | ~ ( ( perm_name_o @ SV237 @ $true )
                | ! [SX0: late_freeRes,SX1: late_freeRes] :
                    ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ $true @ SX0 @ SX1 ) )
                    = ( perm_n336613537reeRes @ SV237 @ SX1 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1362]) ).

thf(1622,plain,
    ! [SV237: list_P227219501e_name] :
      ( ( ~ ( ~ ( ~ ( perm_name_o @ SV237 @ $false )
                | ! [SX0: late_freeRes,SX1: late_freeRes] :
                    ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ $false @ SX0 @ SX1 ) )
                    = ( perm_n336613537reeRes @ SV237 @ SX0 ) ) )
            | ~ ( ( perm_name_o @ SV237 @ $false )
                | ! [SX0: late_freeRes,SX1: late_freeRes] :
                    ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ $false @ SX0 @ SX1 ) )
                    = ( perm_n336613537reeRes @ SV237 @ SX1 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1362]) ).

thf(1623,plain,
    ! [SV477: name,SV238: name] :
      ( ( ! [SY2050: name] :
            ( ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SY2050 ) )
            = ( ~ ( ~ ( fresh_name_name @ SV238 @ SV477 )
                  | ~ ( fresh_name_name @ SV238 @ SY2050 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1363]) ).

thf(1624,plain,
    ! [SV478: $o,SV239: list_P227219501e_name] :
      ( ( ~ ( ~ ( ~ ( perm_name_o @ SV239 @ SV478 )
                | ! [SY2051: pi_Rep,SY2052: pi_Rep] :
                    ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ SV478 @ SY2051 @ SY2052 ) )
                    = ( perm_name_pi_Rep @ SV239 @ SY2051 ) ) )
            | ~ ( ( perm_name_o @ SV239 @ SV478 )
                | ! [SY2053: pi_Rep,SY2054: pi_Rep] :
                    ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ SV478 @ SY2053 @ SY2054 ) )
                    = ( perm_name_pi_Rep @ SV239 @ SY2054 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1364]) ).

thf(1625,plain,
    ! [SV239: list_P227219501e_name] :
      ( ( ~ ( ~ ( ~ ( perm_name_o @ SV239 @ $true )
                | ! [SX0: pi_Rep,SX1: pi_Rep] :
                    ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ $true @ SX0 @ SX1 ) )
                    = ( perm_name_pi_Rep @ SV239 @ SX0 ) ) )
            | ~ ( ( perm_name_o @ SV239 @ $true )
                | ! [SX0: pi_Rep,SX1: pi_Rep] :
                    ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ $true @ SX0 @ SX1 ) )
                    = ( perm_name_pi_Rep @ SV239 @ SX1 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1364]) ).

thf(1626,plain,
    ! [SV239: list_P227219501e_name] :
      ( ( ~ ( ~ ( ~ ( perm_name_o @ SV239 @ $false )
                | ! [SX0: pi_Rep,SX1: pi_Rep] :
                    ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ $false @ SX0 @ SX1 ) )
                    = ( perm_name_pi_Rep @ SV239 @ SX0 ) ) )
            | ~ ( ( perm_name_o @ SV239 @ $false )
                | ! [SX0: pi_Rep,SX1: pi_Rep] :
                    ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ $false @ SX0 @ SX1 ) )
                    = ( perm_name_pi_Rep @ SV239 @ SX1 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1364]) ).

thf(1627,plain,
    ! [SV479: list_P227219501e_name,SV240: produc367475239e_name] :
      ( ( ! [SY2055: produc367475239e_name,SY2056: list_P227219501e_name] :
            ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
              = ( cons_P1213805021e_name @ SY2055 @ SY2056 ) )
            = ( ~ ( ( SV240 != SY2055 )
                  | ( SV479 != SY2056 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1365]) ).

thf(1628,plain,
    ! [SV241: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( ~ ( ~ ( fresh_1376661020_pi_pi @ ( sK49_SY1029 @ SV241 ) @ ( sK51_SY1034 @ SV241 ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK49_SY1029 @ SV241 ) @ ( sK48_Subject2 @ SV241 ) )
                    | ~ ~ ( SV241 @ ( sK51_SY1034 @ SV241 ) @ ( late_BoundR @ ( sK48_Subject2 @ SV241 ) @ ( sK49_SY1029 @ SV241 ) @ ( sK50_SY1032 @ SV241 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( SV241 @ ( sK47_SY1028 @ SV241 ) @ ( late_FreeR @ ( sK45_FreeRes2 @ SV241 ) @ ( sK46_SY1026 @ SV241 ) ) )
          | ! [SY1639: produc1141751126_pi_pi,SY1640: late_residual] : ( SV241 @ SY1639 @ SY1640 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1366]) ).

thf(1629,plain,
    ! [SV480: pi,SV242: name] :
      ( ( ! [SY2057: pi] :
            ( ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SY2057 ) )
            = ( ~ ( ~ ( fresh_name_pi @ SV242 @ SV480 )
                  | ~ ( fresh_name_pi @ SV242 @ SY2057 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1367]) ).

thf(1630,plain,
    ! [SV481: name,SV243: name] :
      ( ( ! [SY2058: name,SY2059: name] :
            ( ( ( late_OutputR @ SV243 @ SV481 )
              = ( late_OutputR @ SY2058 @ SY2059 ) )
            = ( ~ ( ( SV243 != SY2058 )
                  | ( SV481 != SY2059 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1368]) ).

thf(1631,plain,
    ! [SV244: product_unit > late_residual > $o] :
      ( ( ( ~ ( ~ ( fresh_1143631827t_unit @ ( sK56_SY1038 @ SV244 ) @ ( sK58_SY1043 @ SV244 ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK56_SY1038 @ SV244 ) @ ( sK55_Subject2 @ SV244 ) )
                    | ~ ~ ( SV244 @ ( sK58_SY1043 @ SV244 ) @ ( late_BoundR @ ( sK55_Subject2 @ SV244 ) @ ( sK56_SY1038 @ SV244 ) @ ( sK57_SY1041 @ SV244 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( SV244 @ ( sK54_SY1037 @ SV244 ) @ ( late_FreeR @ ( sK52_FreeRes2 @ SV244 ) @ ( sK53_SY1035 @ SV244 ) ) )
          | ! [SY1646: product_unit,SY1647: late_residual] : ( SV244 @ SY1646 @ SY1647 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1369]) ).

thf(1632,plain,
    ! [SV245: name > late_residual > $o] :
      ( ( ( ~ ( ~ ( fresh_name_name @ ( sK14_SY984 @ SV245 ) @ ( sK16_SY989 @ SV245 ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK14_SY984 @ SV245 ) @ ( sK13_Subject2 @ SV245 ) )
                    | ~ ~ ( SV245 @ ( sK16_SY989 @ SV245 ) @ ( late_BoundR @ ( sK13_Subject2 @ SV245 ) @ ( sK14_SY984 @ SV245 ) @ ( sK15_SY987 @ SV245 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( SV245 @ ( sK12_SY983 @ SV245 ) @ ( late_FreeR @ ( sK10_FreeRes2 @ SV245 ) @ ( sK11_SY981 @ SV245 ) ) )
          | ! [SY1648: name,SY1649: late_residual] : ( SV245 @ SY1648 @ SY1649 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1370]) ).

thf(1633,plain,
    ! [SV482: pi,SV246: name] :
      ( ( ! [SY2060: list_pi] :
            ( ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SY2060 ) )
            = ( ~ ( ~ ( fresh_name_list_pi @ SV246 @ SY2060 )
                  | ~ ( fresh_name_pi @ SV246 @ SV482 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1371]) ).

thf(1634,plain,
    ! [SV483: list_P227219501e_name,SV247: $o] :
      ( ( ~ ( ~ ( ~ SV247
                | ! [SY2061: name,SY2062: name] :
                    ( ( perm_name_name @ SV483 @ ( if_name @ SV247 @ SY2061 @ SY2062 ) )
                    = ( perm_name_name @ SV483 @ SY2061 ) ) )
            | ~ ( SV247
                | ! [SY2063: name,SY2064: name] :
                    ( ( perm_name_name @ SV483 @ ( if_name @ SV247 @ SY2063 @ SY2064 ) )
                    = ( perm_name_name @ SV483 @ SY2064 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1372]) ).

thf(1635,plain,
    ! [SV484: list_P227219501e_name] :
      ( ( ~ ( ~ ( ~ $true
                | ! [SY2065: name,SY2066: name] :
                    ( ( perm_name_name @ SV484 @ ( if_name @ $true @ SY2065 @ SY2066 ) )
                    = ( perm_name_name @ SV484 @ SY2065 ) ) )
            | ~ ( $true
                | ! [SY2067: name,SY2068: name] :
                    ( ( perm_name_name @ SV484 @ ( if_name @ $true @ SY2067 @ SY2068 ) )
                    = ( perm_name_name @ SV484 @ SY2068 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1373]) ).

thf(1636,plain,
    ! [SV485: list_P227219501e_name] :
      ( ( ~ ( ~ ( ~ $false
                | ! [SY2069: name,SY2070: name] :
                    ( ( perm_name_name @ SV485 @ ( if_name @ $false @ SY2069 @ SY2070 ) )
                    = ( perm_name_name @ SV485 @ SY2069 ) ) )
            | ~ ( $false
                | ! [SY2071: name,SY2072: name] :
                    ( ( perm_name_name @ SV485 @ ( if_name @ $false @ SY2071 @ SY2072 ) )
                    = ( perm_name_name @ SV485 @ SY2072 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1374]) ).

thf(1637,plain,
    ! [SV486: $o,SV248: list_P227219501e_name] :
      ( ( ~ ( ~ ( ~ ( perm_name_o @ SV248 @ SV486 )
                | ! [SY2073: late_subject,SY2074: late_subject] :
                    ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ SV486 @ SY2073 @ SY2074 ) )
                    = ( perm_n1559866809ubject @ SV248 @ SY2073 ) ) )
            | ~ ( ( perm_name_o @ SV248 @ SV486 )
                | ! [SY2075: late_subject,SY2076: late_subject] :
                    ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ SV486 @ SY2075 @ SY2076 ) )
                    = ( perm_n1559866809ubject @ SV248 @ SY2076 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1375]) ).

thf(1638,plain,
    ! [SV248: list_P227219501e_name] :
      ( ( ~ ( ~ ( ~ ( perm_name_o @ SV248 @ $true )
                | ! [SX0: late_subject,SX1: late_subject] :
                    ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ $true @ SX0 @ SX1 ) )
                    = ( perm_n1559866809ubject @ SV248 @ SX0 ) ) )
            | ~ ( ( perm_name_o @ SV248 @ $true )
                | ! [SX0: late_subject,SX1: late_subject] :
                    ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ $true @ SX0 @ SX1 ) )
                    = ( perm_n1559866809ubject @ SV248 @ SX1 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1375]) ).

thf(1639,plain,
    ! [SV248: list_P227219501e_name] :
      ( ( ~ ( ~ ( ~ ( perm_name_o @ SV248 @ $false )
                | ! [SX0: late_subject,SX1: late_subject] :
                    ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ $false @ SX0 @ SX1 ) )
                    = ( perm_n1559866809ubject @ SV248 @ SX0 ) ) )
            | ~ ( ( perm_name_o @ SV248 @ $false )
                | ! [SX0: late_subject,SX1: late_subject] :
                    ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ $false @ SX0 @ SX1 ) )
                    = ( perm_n1559866809ubject @ SV248 @ SX1 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1375]) ).

thf(1640,plain,
    ! [SV487: $o,SV249: list_P227219501e_name] :
      ( ( ~ ( ~ ( ~ ( perm_name_o @ SV249 @ SV487 )
                | ! [SY2077: pi,SY2078: pi] :
                    ( ( perm_name_pi @ SV249 @ ( if_pi @ SV487 @ SY2077 @ SY2078 ) )
                    = ( perm_name_pi @ SV249 @ SY2077 ) ) )
            | ~ ( ( perm_name_o @ SV249 @ SV487 )
                | ! [SY2079: pi,SY2080: pi] :
                    ( ( perm_name_pi @ SV249 @ ( if_pi @ SV487 @ SY2079 @ SY2080 ) )
                    = ( perm_name_pi @ SV249 @ SY2080 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1376]) ).

thf(1641,plain,
    ! [SV249: list_P227219501e_name] :
      ( ( ~ ( ~ ( ~ ( perm_name_o @ SV249 @ $true )
                | ! [SX0: pi,SX1: pi] :
                    ( ( perm_name_pi @ SV249 @ ( if_pi @ $true @ SX0 @ SX1 ) )
                    = ( perm_name_pi @ SV249 @ SX0 ) ) )
            | ~ ( ( perm_name_o @ SV249 @ $true )
                | ! [SX0: pi,SX1: pi] :
                    ( ( perm_name_pi @ SV249 @ ( if_pi @ $true @ SX0 @ SX1 ) )
                    = ( perm_name_pi @ SV249 @ SX1 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1376]) ).

thf(1642,plain,
    ! [SV249: list_P227219501e_name] :
      ( ( ~ ( ~ ( ~ ( perm_name_o @ SV249 @ $false )
                | ! [SX0: pi,SX1: pi] :
                    ( ( perm_name_pi @ SV249 @ ( if_pi @ $false @ SX0 @ SX1 ) )
                    = ( perm_name_pi @ SV249 @ SX0 ) ) )
            | ~ ( ( perm_name_o @ SV249 @ $false )
                | ! [SX0: pi,SX1: pi] :
                    ( ( perm_name_pi @ SV249 @ ( if_pi @ $false @ SX0 @ SX1 ) )
                    = ( perm_name_pi @ SV249 @ SX1 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1376]) ).

thf(1643,plain,
    ! [SV488: name,SV250: name] :
      ( ( ! [SY2081: pi,SY2082: late_subject,SY2083: name] :
            ~ ( ~ ! [SY2084: pi] :
                    ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SY2081 ) @ ( late_BoundR @ SY2082 @ SY2083 @ SY2084 ) )
                    | ( SY2083 = SV250 )
                    | ( SY2083 = SV488 )
                    | ~ ( fresh_name_pi @ SY2083 @ SY2081 )
                    | ( SY2082
                      = ( late_InputS @ SV250 ) )
                    | ! [SX6: late_subject > name > pi > $o] : ( SX6 @ SY2082 @ SY2083 @ SY2084 ) )
              | ~ ~ ( ~ ! [SY2086: pi] :
                          ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SY2081 ) @ ( late_BoundR @ SY2082 @ SY2083 @ SY2086 ) )
                          | ( SY2083 = SV250 )
                          | ( SY2083 = SV488 )
                          | ~ ( fresh_name_pi @ SY2083 @ SY2081 )
                          | ( SY2086
                            = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SY2083 ) @ nil_Pr743626285e_name ) @ SY2081 ) )
                          | ! [SX6: late_subject > name > pi > $o] : ( SX6 @ SY2082 @ SY2083 @ SY2086 ) )
                    | ~ ! [SY2088: pi] :
                          ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SY2081 ) @ ( late_BoundR @ SY2082 @ SY2083 @ SY2088 ) )
                          | ( SY2083 = SV250 )
                          | ( SY2083 = SV488 )
                          | ~ ( fresh_name_pi @ SY2083 @ SY2081 )
                          | ! [SY2089: late_subject > name > pi > $o] :
                              ( ~ ( SY2089 @ ( late_InputS @ SV250 ) @ SY2083 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SY2083 ) @ nil_Pr743626285e_name ) @ SY2081 ) )
                              | ( SY2089 @ SY2082 @ SY2083 @ SY2088 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1377]) ).

thf(1644,plain,
    ! [SV489: name,SV251: name] :
      ( ( ! [SY2090: name] :
            ( ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SY2090 ) )
            = ( ~ ( ~ ( fresh_name_name @ SV251 @ SV489 )
                  | ~ ( fresh_name_name @ SV251 @ SY2090 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1378]) ).

thf(1645,plain,
    ! [SV490: pi,SV252: name] :
      ( ( ! [SY2091: late_freeRes,SY2092: pi] :
            ( ~ ( late_transitions @ ( res @ SV252 @ SV490 ) @ ( late_FreeR @ SY2091 @ SY2092 ) )
            | ! [SY2093: pi > $o] :
                ( ~ ( ~ ( late_transitions @ SV490 @ ( late_FreeR @ SY2091 @ ( sK117_P4 @ SY2093 @ SY2092 @ SY2091 @ SV490 @ SV252 ) ) )
                    | ~ ~ ( ~ ( fresh_1641682979reeRes @ SV252 @ SY2091 )
                          | ~ ~ ( SY2093 @ ( res @ SV252 @ ( sK117_P4 @ SY2093 @ SY2092 @ SY2091 @ SV490 @ SV252 ) ) ) ) )
                | ( SY2093 @ SY2092 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1379]) ).

thf(1646,plain,
    ! [SV491: pi,SV253: name] :
      ( ( ! [SY2094: late_subject,SY2095: name,SY2096: pi] :
            ( ~ ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SY2094 @ SY2095 @ SY2096 ) )
            | ( SY2095 = SV253 )
            | ~ ( fresh_name_pi @ SY2095 @ SV491 )
            | ! [SY2097: late_subject > pi > $o] :
                ( ~ ( ~ ( late_transitions @ SV491 @ ( late_FreeR @ ( late_OutputR @ ( sK60_B2 @ SY2097 @ SY2096 @ SY2095 @ SY2094 @ SV491 @ SV253 ) @ SV253 ) @ ( sK61_SY1044 @ SY2097 @ SY2096 @ SY2095 @ SY2094 @ SV491 @ SV253 ) ) )
                    | ~ ~ ( ~ ( ( ( sK60_B2 @ SY2097 @ SY2096 @ SY2095 @ SY2094 @ SV491 @ SV253 )
                               != SV253 ) )
                          | ~ ~ ( ( SY2094
                                 != ( late_BoundOutputS @ ( sK60_B2 @ SY2097 @ SY2096 @ SY2095 @ SY2094 @ SV491 @ SV253 ) ) )
                                | ~ ~ ( SY2097 @ ( late_BoundOutputS @ ( sK60_B2 @ SY2097 @ SY2096 @ SY2095 @ SY2094 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY2095 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SY2097 @ SY2096 @ SY2095 @ SY2094 @ SV491 @ SV253 ) ) ) ) ) )
                | ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SY2094 @ SY2095 @ ( sK59_P4 @ SY2097 @ SY2096 @ SY2095 @ SY2094 @ SV491 @ SV253 ) ) )
                    | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SY2094 )
                          | ~ ~ ( SY2097 @ SY2094 @ ( res @ SV253 @ ( sK59_P4 @ SY2097 @ SY2096 @ SY2095 @ SY2094 @ SV491 @ SV253 ) ) ) ) )
                | ( SY2097 @ SY2094 @ SY2096 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1380]) ).

thf(1647,plain,
    ! [SV492: list_P227219501e_name,SV254: $o] :
      ( ( ~ ( ~ ( ~ SV254
                | ! [SY2098: late_subject,SY2099: late_subject] :
                    ( ( perm_n1559866809ubject @ SV492 @ ( if_Late_subject @ SV254 @ SY2098 @ SY2099 ) )
                    = ( perm_n1559866809ubject @ SV492 @ SY2098 ) ) )
            | ~ ( SV254
                | ! [SY2100: late_subject,SY2101: late_subject] :
                    ( ( perm_n1559866809ubject @ SV492 @ ( if_Late_subject @ SV254 @ SY2100 @ SY2101 ) )
                    = ( perm_n1559866809ubject @ SV492 @ SY2101 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1381]) ).

thf(1648,plain,
    ! [SV493: list_P227219501e_name] :
      ( ( ~ ( ~ ( ~ $true
                | ! [SY2102: late_subject,SY2103: late_subject] :
                    ( ( perm_n1559866809ubject @ SV493 @ ( if_Late_subject @ $true @ SY2102 @ SY2103 ) )
                    = ( perm_n1559866809ubject @ SV493 @ SY2102 ) ) )
            | ~ ( $true
                | ! [SY2104: late_subject,SY2105: late_subject] :
                    ( ( perm_n1559866809ubject @ SV493 @ ( if_Late_subject @ $true @ SY2104 @ SY2105 ) )
                    = ( perm_n1559866809ubject @ SV493 @ SY2105 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1382]) ).

thf(1649,plain,
    ! [SV494: list_P227219501e_name] :
      ( ( ~ ( ~ ( ~ $false
                | ! [SY2106: late_subject,SY2107: late_subject] :
                    ( ( perm_n1559866809ubject @ SV494 @ ( if_Late_subject @ $false @ SY2106 @ SY2107 ) )
                    = ( perm_n1559866809ubject @ SV494 @ SY2106 ) ) )
            | ~ ( $false
                | ! [SY2108: late_subject,SY2109: late_subject] :
                    ( ( perm_n1559866809ubject @ SV494 @ ( if_Late_subject @ $false @ SY2108 @ SY2109 ) )
                    = ( perm_n1559866809ubject @ SV494 @ SY2109 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1383]) ).

thf(1650,plain,
    ! [SV495: pi,SV255: pi] :
      ( ( ! [SY2110: pi,SY2111: pi] :
            ( ( ( par @ SV255 @ SV495 )
              = ( par @ SY2110 @ SY2111 ) )
            = ( ~ ( ( SV255 != SY2110 )
                  | ( SV495 != SY2111 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1384]) ).

thf(1651,plain,
    ! [SV496: set_Pr1834926343_pi_pi,SV256: pi] :
      ( ( ! [SY2112: pi,SY2113: late_subject] :
            ( ~ ( strong743114133lation @ SV256 @ SV496 @ SY2112 )
            | ! [SY2114: name,SY2115: pi] :
                ( ~ ( late_transitions @ SY2112 @ ( late_BoundR @ SY2113 @ SY2114 @ SY2115 ) )
                | ~ ( fresh_name_pi @ SY2114 @ SV256 )
                | ~ ( ~ ( late_transitions @ SV256 @ ( late_BoundR @ SY2113 @ SY2114 @ ( sK92_P4 @ SY2115 @ SY2114 @ SY2113 @ SY2112 @ SV496 @ SV256 ) ) )
                    | ~ ( strong2129052853vative @ ( sK92_P4 @ SY2115 @ SY2114 @ SY2113 @ SY2112 @ SV496 @ SV256 ) @ SY2115 @ SY2113 @ SY2114 @ SV496 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1385]) ).

thf(1652,plain,
    ! [SV497: pi,SV257: late_freeRes] :
      ( ( ! [SY2116: late_freeRes,SY2117: pi] :
            ( ( ( late_FreeR @ SV257 @ SV497 )
              = ( late_FreeR @ SY2116 @ SY2117 ) )
            = ( ~ ( ( SV257 != SY2116 )
                  | ( SV497 != SY2117 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1386]) ).

thf(1653,plain,
    ! [SV498: pi,SV258: name] :
      ( ( ! [SY2118: late_freeRes,SY2119: pi] :
            ( ~ ( late_transitions @ ( res @ SV258 @ SV498 ) @ ( late_FreeR @ SY2118 @ SY2119 ) )
            | ~ ( ( ( res @ SV258 @ SV498 )
                 != ( res @ ( sK116_SY1113 @ SY2119 @ SY2118 @ SV498 @ SV258 ) @ ( sK113_P5 @ SY2119 @ SY2118 @ SV498 @ SV258 ) ) )
                | ~ ~ ( ( ( late_FreeR @ SY2118 @ SY2119 )
                       != ( late_FreeR @ ( sK114_SY1108 @ SY2119 @ SY2118 @ SV498 @ SV258 ) @ ( res @ ( sK116_SY1113 @ SY2119 @ SY2118 @ SV498 @ SV258 ) @ ( sK115_SY1111 @ SY2119 @ SY2118 @ SV498 @ SV258 ) ) ) )
                      | ~ ~ ( ~ ( late_transitions @ ( sK113_P5 @ SY2119 @ SY2118 @ SV498 @ SV258 ) @ ( late_FreeR @ ( sK114_SY1108 @ SY2119 @ SY2118 @ SV498 @ SV258 ) @ ( sK115_SY1111 @ SY2119 @ SY2118 @ SV498 @ SV258 ) ) )
                            | ~ ( fresh_1641682979reeRes @ ( sK116_SY1113 @ SY2119 @ SY2118 @ SV498 @ SV258 ) @ ( sK114_SY1108 @ SY2119 @ SY2118 @ SV498 @ SV258 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1387]) ).

thf(1654,plain,
    ! [SV259: product_unit > late_residual > $o] :
      ( ( ( ~ ( ~ ( fresh_1143631827t_unit @ ( sK28_SY1002 @ SV259 ) @ ( sK30_SY1007 @ SV259 ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK28_SY1002 @ SV259 ) @ ( sK27_Subject2 @ SV259 ) )
                    | ~ ~ ( SV259 @ ( sK30_SY1007 @ SV259 ) @ ( late_BoundR @ ( sK27_Subject2 @ SV259 ) @ ( sK28_SY1002 @ SV259 ) @ ( sK29_SY1005 @ SV259 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( SV259 @ ( sK26_SY1001 @ SV259 ) @ ( late_FreeR @ ( sK24_FreeRes2 @ SV259 ) @ ( sK25_SY999 @ SV259 ) ) )
          | ! [SY1707: product_unit,SY1708: late_residual] : ( SV259 @ SY1707 @ SY1708 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1388]) ).

thf(1655,plain,
    ! [SV260: pi > late_residual > $o] :
      ( ( ( ~ ( ~ ( fresh_name_pi @ ( sK7_SY975 @ SV260 ) @ ( sK9_SY980 @ SV260 ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK7_SY975 @ SV260 ) @ ( sK6_Subject2 @ SV260 ) )
                    | ~ ~ ( SV260 @ ( sK9_SY980 @ SV260 ) @ ( late_BoundR @ ( sK6_Subject2 @ SV260 ) @ ( sK7_SY975 @ SV260 ) @ ( sK8_SY978 @ SV260 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( SV260 @ ( sK5_SY974 @ SV260 ) @ ( late_FreeR @ ( sK3_FreeRes2 @ SV260 ) @ ( sK4_SY972 @ SV260 ) ) )
          | ! [SY1709: pi,SY1710: late_residual] : ( SV260 @ SY1709 @ SY1710 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1389]) ).

thf(1656,plain,
    ! [SV261: name] :
      ( ( ~ ! [SY1711: name] :
              ( ( SV261 != SY1711 )
              | ! [SY1712: name] :
                  ( ( swap_name2 @ ( produc1570949143e_name @ SV261 @ SY1712 ) @ SY1711 )
                  = SY1712 ) )
        | ~ ~ ( ~ ! [SY1713: name] :
                    ( ( SV261 = SY1713 )
                    | ! [SY1714: name] :
                        ( ( SY1714 != SY1713 )
                        | ( ( swap_name2 @ ( produc1570949143e_name @ SV261 @ SY1714 ) @ SY1713 )
                          = SV261 ) ) )
              | ~ ! [SY1715: name] :
                    ( ( SV261 = SY1715 )
                    | ! [SY1716: name] :
                        ( ( SY1716 = SY1715 )
                        | ( ( swap_name2 @ ( produc1570949143e_name @ SV261 @ SY1716 ) @ SY1715 )
                          = SY1715 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1390]) ).

thf(1657,plain,
    ! [SV499: $o,SV262: list_P227219501e_name] :
      ( ( ~ ( ~ ( ~ ( perm_name_o @ SV262 @ SV499 )
                | ! [SY2120: name,SY2121: name] :
                    ( ( perm_name_name @ SV262 @ ( if_name @ SV499 @ SY2120 @ SY2121 ) )
                    = ( perm_name_name @ SV262 @ SY2120 ) ) )
            | ~ ( ( perm_name_o @ SV262 @ SV499 )
                | ! [SY2122: name,SY2123: name] :
                    ( ( perm_name_name @ SV262 @ ( if_name @ SV499 @ SY2122 @ SY2123 ) )
                    = ( perm_name_name @ SV262 @ SY2123 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1391]) ).

thf(1658,plain,
    ! [SV262: list_P227219501e_name] :
      ( ( ~ ( ~ ( ~ ( perm_name_o @ SV262 @ $true )
                | ! [SX0: name,SX1: name] :
                    ( ( perm_name_name @ SV262 @ ( if_name @ $true @ SX0 @ SX1 ) )
                    = ( perm_name_name @ SV262 @ SX0 ) ) )
            | ~ ( ( perm_name_o @ SV262 @ $true )
                | ! [SX0: name,SX1: name] :
                    ( ( perm_name_name @ SV262 @ ( if_name @ $true @ SX0 @ SX1 ) )
                    = ( perm_name_name @ SV262 @ SX1 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1391]) ).

thf(1659,plain,
    ! [SV262: list_P227219501e_name] :
      ( ( ~ ( ~ ( ~ ( perm_name_o @ SV262 @ $false )
                | ! [SX0: name,SX1: name] :
                    ( ( perm_name_name @ SV262 @ ( if_name @ $false @ SX0 @ SX1 ) )
                    = ( perm_name_name @ SV262 @ SX0 ) ) )
            | ~ ( ( perm_name_o @ SV262 @ $false )
                | ! [SX0: name,SX1: name] :
                    ( ( perm_name_name @ SV262 @ ( if_name @ $false @ SX0 @ SX1 ) )
                    = ( perm_name_name @ SV262 @ SX1 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1391]) ).

thf(1660,plain,
    ! [SV500: list_P227219501e_name,SV263: $o] :
      ( ( ~ ( ~ ( ~ SV263
                | ! [SY2124: pi_Rep,SY2125: pi_Rep] :
                    ( ( perm_name_pi_Rep @ SV500 @ ( if_pi_Rep @ SV263 @ SY2124 @ SY2125 ) )
                    = ( perm_name_pi_Rep @ SV500 @ SY2124 ) ) )
            | ~ ( SV263
                | ! [SY2126: pi_Rep,SY2127: pi_Rep] :
                    ( ( perm_name_pi_Rep @ SV500 @ ( if_pi_Rep @ SV263 @ SY2126 @ SY2127 ) )
                    = ( perm_name_pi_Rep @ SV500 @ SY2127 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1392]) ).

thf(1661,plain,
    ! [SV501: list_P227219501e_name] :
      ( ( ~ ( ~ ( ~ $true
                | ! [SY2128: pi_Rep,SY2129: pi_Rep] :
                    ( ( perm_name_pi_Rep @ SV501 @ ( if_pi_Rep @ $true @ SY2128 @ SY2129 ) )
                    = ( perm_name_pi_Rep @ SV501 @ SY2128 ) ) )
            | ~ ( $true
                | ! [SY2130: pi_Rep,SY2131: pi_Rep] :
                    ( ( perm_name_pi_Rep @ SV501 @ ( if_pi_Rep @ $true @ SY2130 @ SY2131 ) )
                    = ( perm_name_pi_Rep @ SV501 @ SY2131 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1393]) ).

thf(1662,plain,
    ! [SV502: list_P227219501e_name] :
      ( ( ~ ( ~ ( ~ $false
                | ! [SY2132: pi_Rep,SY2133: pi_Rep] :
                    ( ( perm_name_pi_Rep @ SV502 @ ( if_pi_Rep @ $false @ SY2132 @ SY2133 ) )
                    = ( perm_name_pi_Rep @ SV502 @ SY2132 ) ) )
            | ~ ( $false
                | ! [SY2134: pi_Rep,SY2135: pi_Rep] :
                    ( ( perm_name_pi_Rep @ SV502 @ ( if_pi_Rep @ $false @ SY2134 @ SY2135 ) )
                    = ( perm_name_pi_Rep @ SV502 @ SY2135 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1394]) ).

thf(1663,plain,
    ! [SV503: name,SV264: name] :
      ( ( ! [SY2136: name,SY2137: name] :
            ( ( ( late_OutputR @ SV264 @ SV503 )
              = ( late_OutputR @ SY2136 @ SY2137 ) )
            = ( ~ ( ( SV264 != SY2136 )
                  | ( SV503 != SY2137 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1395]) ).

thf(1664,plain,
    ! [SV265: name > late_residual > $o] :
      ( ( ( ~ ( ~ ( fresh_name_name @ ( sK42_SY1020 @ SV265 ) @ ( sK44_SY1025 @ SV265 ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK42_SY1020 @ SV265 ) @ ( sK41_Subject2 @ SV265 ) )
                    | ~ ~ ( SV265 @ ( sK44_SY1025 @ SV265 ) @ ( late_BoundR @ ( sK41_Subject2 @ SV265 ) @ ( sK42_SY1020 @ SV265 ) @ ( sK43_SY1023 @ SV265 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( SV265 @ ( sK40_SY1019 @ SV265 ) @ ( late_FreeR @ ( sK38_FreeRes2 @ SV265 ) @ ( sK39_SY1017 @ SV265 ) ) )
          | ! [SY1730: name,SY1731: late_residual] : ( SV265 @ SY1730 @ SY1731 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1396]) ).

thf(1665,plain,
    ! [SV504: name,SV266: pi,SV1: name] :
      ( ( ( subs @ ( res @ SV1 @ SV266 ) @ SV504 @ SV1 )
        = ( res @ SV504 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV504 @ SV1 ) @ nil_Pr743626285e_name ) @ SV266 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1397]) ).

thf(1666,plain,
    ! [SV505: late_subject,SV267: name,SV2: name] :
      ( ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV2 @ SV267 ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV2 @ SV267 ) @ nil_Pr743626285e_name ) @ SV505 ) )
        = SV505 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1398]) ).

thf(1667,plain,
    ! [SV506: late_freeRes,SV268: name,SV3: name] :
      ( ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV3 @ SV268 ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV3 @ SV268 ) @ nil_Pr743626285e_name ) @ SV506 ) )
        = SV506 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1399]) ).

thf(1668,plain,
    ! [SV507: pi_Rep,SV269: name,SV4: name] :
      ( ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV4 @ SV269 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV4 @ SV269 ) @ nil_Pr743626285e_name ) @ SV507 ) )
        = SV507 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1400]) ).

thf(1669,plain,
    ! [SV508: name,SV270: name,SV5: name] :
      ( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV5 @ SV270 ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV5 @ SV270 ) @ nil_Pr743626285e_name ) @ SV508 ) )
        = SV508 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1401]) ).

thf(1670,plain,
    ! [SV509: pi,SV271: name,SV6: name] :
      ( ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV6 @ SV271 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV6 @ SV271 ) @ nil_Pr743626285e_name ) @ SV509 ) )
        = SV509 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1402]) ).

thf(1671,plain,
    ! [SV510: late_subject,SV277: name,SV12: name] :
      ( ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV12 @ SV277 ) @ nil_Pr743626285e_name ) @ SV510 )
        = ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV277 @ SV12 ) @ nil_Pr743626285e_name ) @ SV510 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1408]) ).

thf(1672,plain,
    ! [SV511: late_freeRes,SV278: name,SV13: name] :
      ( ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV13 @ SV278 ) @ nil_Pr743626285e_name ) @ SV511 )
        = ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV278 @ SV13 ) @ nil_Pr743626285e_name ) @ SV511 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1409]) ).

thf(1673,plain,
    ! [SV512: pi_Rep,SV279: name,SV14: name] :
      ( ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV14 @ SV279 ) @ nil_Pr743626285e_name ) @ SV512 )
        = ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV279 @ SV14 ) @ nil_Pr743626285e_name ) @ SV512 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1410]) ).

thf(1674,plain,
    ! [SV513: name,SV280: name,SV15: name] :
      ( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV15 @ SV280 ) @ nil_Pr743626285e_name ) @ SV513 )
        = ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV280 @ SV15 ) @ nil_Pr743626285e_name ) @ SV513 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1411]) ).

thf(1675,plain,
    ! [SV514: pi,SV281: name,SV16: name] :
      ( ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV16 @ SV281 ) @ nil_Pr743626285e_name ) @ SV514 )
        = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV281 @ SV16 ) @ nil_Pr743626285e_name ) @ SV514 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1412]) ).

thf(1676,plain,
    ! [SV515: late_subject,SV282: name,SV17: name] :
      ( ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV17 @ SV282 ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV17 @ SV282 ) @ nil_Pr743626285e_name ) @ SV515 ) )
        = SV515 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1413]) ).

thf(1677,plain,
    ! [SV516: late_freeRes,SV283: name,SV18: name] :
      ( ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV18 @ SV283 ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV18 @ SV283 ) @ nil_Pr743626285e_name ) @ SV516 ) )
        = SV516 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1414]) ).

thf(1678,plain,
    ! [SV517: pi_Rep,SV284: name,SV19: name] :
      ( ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV19 @ SV284 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV19 @ SV284 ) @ nil_Pr743626285e_name ) @ SV517 ) )
        = SV517 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1415]) ).

thf(1679,plain,
    ! [SV518: name,SV285: name,SV20: name] :
      ( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV20 @ SV285 ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV20 @ SV285 ) @ nil_Pr743626285e_name ) @ SV518 ) )
        = SV518 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1416]) ).

thf(1680,plain,
    ! [SV519: pi,SV286: name,SV21: name] :
      ( ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV21 @ SV286 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV21 @ SV286 ) @ nil_Pr743626285e_name ) @ SV519 ) )
        = SV519 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1417]) ).

thf(1681,plain,
    ! [SV520: pi,SV287: pi,SV22: list_P227219501e_name] :
      ( ( ( perm_name_pi @ SV22 @ ( par @ SV287 @ SV520 ) )
        = ( par @ ( perm_name_pi @ SV22 @ SV287 ) @ ( perm_name_pi @ SV22 @ SV520 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1418]) ).

thf(1682,plain,
    ! [SV521: name,SV288: pi,SV23: pi] :
      ( ( ! [SY2138: name] :
            ( ( subs @ ( par @ SV23 @ SV288 ) @ SV521 @ SY2138 )
            = ( par @ ( subs @ SV23 @ SV521 @ SY2138 ) @ ( subs @ SV288 @ SV521 @ SY2138 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1419]) ).

thf(1683,plain,
    ! [SV289: name,SV24: name] :
      ( ( ( SV24 = SV289 )
        = $true )
      | ( ( ! [SY1751: name] :
              ( ( SV24 = SY1751 )
              | ! [SY1752: pi] :
                  ( ( subs @ ( res @ SV24 @ SY1752 ) @ SV289 @ SY1751 )
                  = ( res @ SV24 @ ( subs @ SY1752 @ SV289 @ SY1751 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1420]) ).

thf(1684,plain,
    ! [SV522: pi,SV291: name,SV32: list_P227219501e_name] :
      ( ( ( perm_name_pi @ SV32 @ ( res @ SV291 @ SV522 ) )
        = ( res @ ( perm_name_name @ SV32 @ SV291 ) @ ( perm_name_pi @ SV32 @ SV522 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1422]) ).

thf(1685,plain,
    ! [SV292: late_subject,SV33: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV33 @ SV292 ) )
        = $true )
      | ( ( ! [SY1754: name] :
              ( ~ ( fresh_717452603ubject @ SY1754 @ SV292 )
              | ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV33 @ SY1754 ) @ nil_Pr743626285e_name ) @ SV292 )
                = SV292 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1423]) ).

thf(1686,plain,
    ! [SV293: late_freeRes,SV34: name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ SV34 @ SV293 ) )
        = $true )
      | ( ( ! [SY1755: name] :
              ( ~ ( fresh_1641682979reeRes @ SY1755 @ SV293 )
              | ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV34 @ SY1755 ) @ nil_Pr743626285e_name ) @ SV293 )
                = SV293 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1424]) ).

thf(1687,plain,
    ! [SV294: pi_Rep,SV35: name] :
      ( ( ( ~ ( fresh_name_pi_Rep @ SV35 @ SV294 ) )
        = $true )
      | ( ( ! [SY1756: name] :
              ( ~ ( fresh_name_pi_Rep @ SY1756 @ SV294 )
              | ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV35 @ SY1756 ) @ nil_Pr743626285e_name ) @ SV294 )
                = SV294 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1425]) ).

thf(1688,plain,
    ! [SV295: product_unit,SV36: name] :
      ( ( ( ~ ( fresh_1143631827t_unit @ SV36 @ SV295 ) )
        = $true )
      | ( ( ! [SY1757: name] :
              ( ~ ( fresh_1143631827t_unit @ SY1757 @ SV295 )
              | ( ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV36 @ SY1757 ) @ nil_Pr743626285e_name ) @ SV295 )
                = SV295 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1426]) ).

thf(1689,plain,
    ! [SV296: produc1141751126_pi_pi,SV37: name] :
      ( ( ( ~ ( fresh_1376661020_pi_pi @ SV37 @ SV296 ) )
        = $true )
      | ( ( ! [SY1758: name] :
              ( ~ ( fresh_1376661020_pi_pi @ SY1758 @ SV296 )
              | ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV37 @ SY1758 ) @ nil_Pr743626285e_name ) @ SV296 )
                = SV296 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1427]) ).

thf(1690,plain,
    ! [SV297: name,SV38: name] :
      ( ( ( ~ ( fresh_name_name @ SV38 @ SV297 ) )
        = $true )
      | ( ( ! [SY1759: name] :
              ( ~ ( fresh_name_name @ SY1759 @ SV297 )
              | ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV38 @ SY1759 ) @ nil_Pr743626285e_name ) @ SV297 )
                = SV297 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1428]) ).

thf(1691,plain,
    ! [SV298: pi,SV39: name] :
      ( ( ( ~ ( fresh_name_pi @ SV39 @ SV298 ) )
        = $true )
      | ( ( ! [SY1760: name] :
              ( ~ ( fresh_name_pi @ SY1760 @ SV298 )
              | ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV39 @ SY1760 ) @ nil_Pr743626285e_name ) @ SV298 )
                = SV298 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1429]) ).

thf(1692,plain,
    ! [SV299: name > noption_pi,SV40: name] :
      ( ( ( ~ ( fresh_543891186ion_pi @ SV40 @ SV299 ) )
        = $true )
      | ( ( ! [SY1761: name] :
              ( ~ ( fresh_543891186ion_pi @ SY1761 @ SV299 )
              | ( ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV40 @ SY1761 ) @ nil_Pr743626285e_name ) @ SV299 )
                = SV299 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1430]) ).

thf(1693,plain,
    ! [SV300: late_subject,SV41: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV41 @ SV300 ) )
        = $true )
      | ( ( ! [SY1762: name] :
              ( ~ ( fresh_717452603ubject @ SY1762 @ SV300 )
              | ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV41 @ SY1762 ) @ nil_Pr743626285e_name ) @ SV300 )
                = SV300 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1431]) ).

thf(1694,plain,
    ! [SV301: late_freeRes,SV42: name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ SV42 @ SV301 ) )
        = $true )
      | ( ( ! [SY1763: name] :
              ( ~ ( fresh_1641682979reeRes @ SY1763 @ SV301 )
              | ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV42 @ SY1763 ) @ nil_Pr743626285e_name ) @ SV301 )
                = SV301 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1432]) ).

thf(1695,plain,
    ! [SV302: pi_Rep,SV43: name] :
      ( ( ( ~ ( fresh_name_pi_Rep @ SV43 @ SV302 ) )
        = $true )
      | ( ( ! [SY1764: name] :
              ( ~ ( fresh_name_pi_Rep @ SY1764 @ SV302 )
              | ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV43 @ SY1764 ) @ nil_Pr743626285e_name ) @ SV302 )
                = SV302 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1433]) ).

thf(1696,plain,
    ! [SV303: product_unit,SV44: name] :
      ( ( ( ~ ( fresh_1143631827t_unit @ SV44 @ SV303 ) )
        = $true )
      | ( ( ! [SY1765: name] :
              ( ~ ( fresh_1143631827t_unit @ SY1765 @ SV303 )
              | ( ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV44 @ SY1765 ) @ nil_Pr743626285e_name ) @ SV303 )
                = SV303 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1434]) ).

thf(1697,plain,
    ! [SV304: produc1141751126_pi_pi,SV45: name] :
      ( ( ( ~ ( fresh_1376661020_pi_pi @ SV45 @ SV304 ) )
        = $true )
      | ( ( ! [SY1766: name] :
              ( ~ ( fresh_1376661020_pi_pi @ SY1766 @ SV304 )
              | ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV45 @ SY1766 ) @ nil_Pr743626285e_name ) @ SV304 )
                = SV304 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1435]) ).

thf(1698,plain,
    ! [SV305: name,SV46: name] :
      ( ( ( ~ ( fresh_name_name @ SV46 @ SV305 ) )
        = $true )
      | ( ( ! [SY1767: name] :
              ( ~ ( fresh_name_name @ SY1767 @ SV305 )
              | ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV46 @ SY1767 ) @ nil_Pr743626285e_name ) @ SV305 )
                = SV305 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1436]) ).

thf(1699,plain,
    ! [SV306: pi,SV47: name] :
      ( ( ( ~ ( fresh_name_pi @ SV47 @ SV306 ) )
        = $true )
      | ( ( ! [SY1768: name] :
              ( ~ ( fresh_name_pi @ SY1768 @ SV306 )
              | ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV47 @ SY1768 ) @ nil_Pr743626285e_name ) @ SV306 )
                = SV306 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1437]) ).

thf(1700,plain,
    ! [SV307: name > noption_pi,SV48: name] :
      ( ( ( ~ ( fresh_543891186ion_pi @ SV48 @ SV307 ) )
        = $true )
      | ( ( ! [SY1769: name] :
              ( ~ ( fresh_543891186ion_pi @ SY1769 @ SV307 )
              | ( ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV48 @ SY1769 ) @ nil_Pr743626285e_name ) @ SV307 )
                = SV307 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1438]) ).

thf(1701,plain,
    ! [SV308: list_P227219501e_name,SV49: name] :
      ( ( ( ~ ( fresh_922791155e_name @ SV49 @ SV308 ) )
        = $true )
      | ( ( ! [SY1770: pi] :
              ( ~ ( fresh_name_pi @ SV49 @ SY1770 )
              | ( fresh_name_pi @ SV49 @ ( perm_name_pi @ SV308 @ SY1770 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1439]) ).

thf(1702,plain,
    ! [SV523: pi,SV309: name,SV50: list_P227219501e_name] :
      ( ( ( fresh_name_pi @ ( perm_name_name @ SV50 @ SV309 ) @ ( perm_name_pi @ SV50 @ SV523 ) )
        = ( fresh_name_pi @ SV309 @ SV523 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1440]) ).

thf(1703,plain,
    ! [SV311: name,SV52: name] :
      ( ( ( SV52 = SV311 )
        = $true )
      | ( ( ! [SY1772: pi] : ( fresh_name_pi @ SV52 @ ( subs @ SY1772 @ SV52 @ SV311 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1442]) ).

thf(1704,plain,
    ! [SV312: pi,SV53: name] :
      ( ( ( ~ ( fresh_name_pi @ SV53 @ SV312 ) )
        = $true )
      | ( ( ! [SY1773: name] :
              ( ( SV53 = SY1773 )
              | ! [SY1774: name] : ( fresh_name_pi @ SV53 @ ( subs @ SV312 @ SY1774 @ SY1773 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1443]) ).

thf(1705,plain,
    ! [SV313: pi,SV54: name] :
      ( ( ( ~ ( fresh_name_pi @ SV54 @ SV313 ) )
        = $true )
      | ( ( ! [SY1775: name] :
              ( ( subs @ SV313 @ SV54 @ SY1775 )
              = SV313 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1444]) ).

thf(1706,plain,
    ! [SV314: pi,SV56: name] :
      ( ( ( ~ ( fresh_name_pi @ SV56 @ SV314 ) )
        = $true )
      | ( ( ! [SY1776: name] :
              ( ( subs @ ( res @ SY1776 @ SV314 ) @ SY1776 @ SV56 )
              = ( res @ SV56 @ ( subs @ SV314 @ SY1776 @ SV56 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1445]) ).

thf(1707,plain,
    ! [SV315: pi,SV57: name] :
      ( ( ( ~ ( fresh_name_pi @ SV57 @ SV315 ) )
        = $true )
      | ( ( ! [SY1777: name] :
              ( ( res @ SY1777 @ SV315 )
              = ( res @ SV57 @ ( subs @ SV315 @ SY1777 @ SV57 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1446]) ).

thf(1708,plain,
    ! [SV524: name,SV316: pi,SV58: list_P227219501e_name] :
      ( ( ! [SY2139: name] :
            ( ( perm_name_pi @ SV58 @ ( subs @ SV316 @ SV524 @ SY2139 ) )
            = ( subs @ ( perm_name_pi @ SV58 @ SV316 ) @ ( perm_name_name @ SV58 @ SV524 ) @ ( perm_name_name @ SV58 @ SY2139 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1447]) ).

thf(1709,plain,
    ! [SV319: name,SV61: name] :
      ( ( ( SV61 = SV319 )
        = $true )
      | ( ( ! [SY1780: name] :
              ( ( SY1780 = SV319 )
              | ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV61 @ SY1780 ) @ nil_Pr743626285e_name ) @ SV319 )
                = SV319 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1450]) ).

thf(1710,plain,
    ! [SV320: name,SV62: name] :
      ( ( ( SV62 = SV320 )
        = $true )
      | ( ( ! [SY1781: late_subject] :
              ( ~ ( fresh_717452603ubject @ SV320 @ SY1781 )
              | ~ ( fresh_717452603ubject @ SV62 @ SY1781 )
              | ! [SY1782: name] : ( fresh_717452603ubject @ SV62 @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV320 @ SY1782 ) @ nil_Pr743626285e_name ) @ SY1781 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1451]) ).

thf(1711,plain,
    ! [SV321: name,SV63: name] :
      ( ( ( SV63 = SV321 )
        = $true )
      | ( ( ! [SY1783: late_freeRes] :
              ( ~ ( fresh_1641682979reeRes @ SV321 @ SY1783 )
              | ~ ( fresh_1641682979reeRes @ SV63 @ SY1783 )
              | ! [SY1784: name] : ( fresh_1641682979reeRes @ SV63 @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV321 @ SY1784 ) @ nil_Pr743626285e_name ) @ SY1783 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1452]) ).

thf(1712,plain,
    ! [SV322: name,SV64: name] :
      ( ( ( SV64 = SV322 )
        = $true )
      | ( ( ! [SY1785: pi_Rep] :
              ( ~ ( fresh_name_pi_Rep @ SV322 @ SY1785 )
              | ~ ( fresh_name_pi_Rep @ SV64 @ SY1785 )
              | ! [SY1786: name] : ( fresh_name_pi_Rep @ SV64 @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV322 @ SY1786 ) @ nil_Pr743626285e_name ) @ SY1785 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1453]) ).

thf(1713,plain,
    ! [SV323: name,SV65: name] :
      ( ( ( SV65 = SV323 )
        = $true )
      | ( ( ! [SY1787: product_unit] :
              ( ~ ( fresh_1143631827t_unit @ SV323 @ SY1787 )
              | ~ ( fresh_1143631827t_unit @ SV65 @ SY1787 )
              | ! [SY1788: name] : ( fresh_1143631827t_unit @ SV65 @ ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV323 @ SY1788 ) @ nil_Pr743626285e_name ) @ SY1787 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1454]) ).

thf(1714,plain,
    ! [SV324: name,SV66: name] :
      ( ( ( SV66 = SV324 )
        = $true )
      | ( ( ! [SY1789: produc1141751126_pi_pi] :
              ( ~ ( fresh_1376661020_pi_pi @ SV324 @ SY1789 )
              | ~ ( fresh_1376661020_pi_pi @ SV66 @ SY1789 )
              | ! [SY1790: name] : ( fresh_1376661020_pi_pi @ SV66 @ ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV324 @ SY1790 ) @ nil_Pr743626285e_name ) @ SY1789 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1455]) ).

thf(1715,plain,
    ! [SV325: name,SV67: name] :
      ( ( ( SV67 = SV325 )
        = $true )
      | ( ( ! [SY1791: name] :
              ( ~ ( fresh_name_name @ SV325 @ SY1791 )
              | ~ ( fresh_name_name @ SV67 @ SY1791 )
              | ! [SY1792: name] : ( fresh_name_name @ SV67 @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV325 @ SY1792 ) @ nil_Pr743626285e_name ) @ SY1791 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1456]) ).

thf(1716,plain,
    ! [SV326: name,SV68: name] :
      ( ( ( SV68 = SV326 )
        = $true )
      | ( ( ! [SY1793: pi] :
              ( ~ ( fresh_name_pi @ SV326 @ SY1793 )
              | ~ ( fresh_name_pi @ SV68 @ SY1793 )
              | ! [SY1794: name] : ( fresh_name_pi @ SV68 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV326 @ SY1794 ) @ nil_Pr743626285e_name ) @ SY1793 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1457]) ).

thf(1717,plain,
    ! [SV327: name,SV69: name] :
      ( ( ( SV69 = SV327 )
        = $true )
      | ( ( ! [SY1795: name > noption_pi] :
              ( ~ ( fresh_543891186ion_pi @ SV327 @ SY1795 )
              | ~ ( fresh_543891186ion_pi @ SV69 @ SY1795 )
              | ! [SY1796: name] : ( fresh_543891186ion_pi @ SV69 @ ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV327 @ SY1796 ) @ nil_Pr743626285e_name ) @ SY1795 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1458]) ).

thf(1718,plain,
    ! [SV525: pi,SV328: list_P227219501e_name,SV70: list_P227219501e_name] :
      ( ( ( perm_name_pi @ SV70 @ ( perm_name_pi @ SV328 @ SV525 ) )
        = ( perm_name_pi @ ( perm_n1160739829e_name @ SV70 @ SV328 ) @ ( perm_name_pi @ SV70 @ SV525 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1459]) ).

thf(1719,plain,
    ! [SV526: pi,SV329: list_P227219501e_name,SV71: list_P227219501e_name] :
      ( ( ( perm_name_pi @ SV71 @ ( perm_name_pi @ SV329 @ SV526 ) )
        = ( perm_name_pi @ ( perm_n1160739829e_name @ SV71 @ SV329 ) @ ( perm_name_pi @ SV71 @ SV526 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1460]) ).

thf(1720,plain,
    ! [SV527: pi,SV330: list_P227219501e_name,SV72: list_P227219501e_name] :
      ( ( ( perm_name_pi @ SV72 @ ( perm_name_pi @ SV330 @ SV527 ) )
        = ( perm_name_pi @ ( perm_n1160739829e_name @ SV72 @ SV330 ) @ ( perm_name_pi @ SV72 @ SV527 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1461]) ).

thf(1721,plain,
    ! [SV528: pi,SV331: pi,SV73: list_P227219501e_name] :
      ( ( ( ( perm_name_pi @ SV73 @ SV331 )
          = ( perm_name_pi @ SV73 @ SV528 ) )
        = ( SV331 = SV528 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1462]) ).

thf(1722,plain,
    ! [SV529: pi,SV332: pi > late_subject,SV74: list_P227219501e_name] :
      ( ( ( perm_n1559866809ubject @ SV74 @ ( SV332 @ SV529 ) )
        = ( perm_n190055296ubject @ SV74 @ SV332 @ ( perm_name_pi @ SV74 @ SV529 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1463]) ).

thf(1723,plain,
    ! [SV530: pi,SV333: pi > late_freeRes,SV75: list_P227219501e_name] :
      ( ( ( perm_n336613537reeRes @ SV75 @ ( SV333 @ SV530 ) )
        = ( perm_n1333244520reeRes @ SV75 @ SV333 @ ( perm_name_pi @ SV75 @ SV530 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1464]) ).

thf(1724,plain,
    ! [SV531: pi,SV334: pi,SV76: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV76 @ ( SV334 = SV531 ) )
        = ( ( perm_name_pi @ SV76 @ SV334 )
          = ( perm_name_pi @ SV76 @ SV531 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1465]) ).

thf(1725,plain,
    ! [SV335: pi,SV77: name] :
      ( ( ( ~ ( fresh_name_pi @ SV77 @ SV335 ) )
        = $true )
      | ( ( ! [SY1804: name] :
              ( ( res @ SY1804 @ SV335 )
              = ( res @ SV77 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1804 @ SV77 ) @ nil_Pr743626285e_name ) @ SV335 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1466]) ).

thf(1726,plain,
    ! [SV336: pi,SV78: name] :
      ( ( ( ~ ( fresh_name_pi @ SV78 @ SV336 ) )
        = $true )
      | ( ( ! [SY1805: name] :
              ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1805 @ SV78 ) @ nil_Pr743626285e_name ) @ SV336 )
              = ( subs @ SV336 @ SY1805 @ SV78 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1467]) ).

thf(1727,plain,
    ! [SV337: pi,SV79: name] :
      ( ( ( ~ ( fresh_name_pi @ SV79 @ SV337 ) )
        = $true )
      | ( ( ! [SY1806: name,SY1807: name] :
              ( ( subs @ SV337 @ SY1806 @ SY1807 )
              = ( subs @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV79 @ SY1806 ) @ nil_Pr743626285e_name ) @ SV337 ) @ SV79 @ SY1807 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1468]) ).

thf(1728,plain,
    ! [SV532: name,SV338: pi,SV80: pi] :
      ( ( ! [SY2140: pi] :
            ( ( par @ SV80 @ SV338 )
           != ( res @ SV532 @ SY2140 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1469]) ).

thf(1729,plain,
    ! [SV533: late_subject,SV339: name,SV81: name] :
      ( ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV81 @ SV339 ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV339 @ SV81 ) @ nil_Pr743626285e_name ) @ SV533 ) )
        = SV533 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1470]) ).

thf(1730,plain,
    ! [SV534: late_freeRes,SV340: name,SV82: name] :
      ( ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV82 @ SV340 ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV340 @ SV82 ) @ nil_Pr743626285e_name ) @ SV534 ) )
        = SV534 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1471]) ).

thf(1731,plain,
    ! [SV535: pi_Rep,SV341: name,SV83: name] :
      ( ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV83 @ SV341 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV341 @ SV83 ) @ nil_Pr743626285e_name ) @ SV535 ) )
        = SV535 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1472]) ).

thf(1732,plain,
    ! [SV536: name,SV342: name,SV84: name] :
      ( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV84 @ SV342 ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV342 @ SV84 ) @ nil_Pr743626285e_name ) @ SV536 ) )
        = SV536 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1473]) ).

thf(1733,plain,
    ! [SV537: pi,SV343: name,SV85: name] :
      ( ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV85 @ SV343 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV343 @ SV85 ) @ nil_Pr743626285e_name ) @ SV537 ) )
        = SV537 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1474]) ).

thf(1734,plain,
    ! [SV344: pi,SV86: name] :
      ( ( ( ~ ( fresh_name_pi @ SV86 @ SV344 ) )
        = $true )
      | ( ( ! [SY1815: late_subject,SY1816: name] :
              ( ( late_BoundR @ SY1815 @ SY1816 @ SV344 )
              = ( late_BoundR @ SY1815 @ SV86 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1816 @ SV86 ) @ nil_Pr743626285e_name ) @ SV344 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1475]) ).

thf(1735,plain,
    ! [SV345: name,SV90: name] :
      ( ( ~ ( ( ( late_BoundOutputS @ SV90 )
              = ( late_BoundOutputS @ SV345 ) )
            | ( SV90 = SV345 ) )
        | ~ ( ( ( late_BoundOutputS @ SV90 )
             != ( late_BoundOutputS @ SV345 ) )
            | ( SV90 != SV345 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1476]) ).

thf(1736,plain,
    ! [SV345: name,SV90: name] :
      ( ( ( ( late_BoundOutputS @ SV90 )
          = ( late_BoundOutputS @ SV345 ) )
        = ( SV90 = SV345 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1476]) ).

thf(1737,plain,
    ! [SV346: pi,SV91: name] :
      ( ( ( ~ ( fresh_name_pi @ SV91 @ SV346 ) )
        = $true )
      | ( ( ! [SY1817: name,SY1818: name] :
              ( ( subs @ ( subs @ SV346 @ SY1817 @ SV91 ) @ SV91 @ SY1818 )
              = ( subs @ SV346 @ SY1817 @ SY1818 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1477]) ).

thf(1738,plain,
    ! [SV348: name,SV93: name] :
      ( ( ~ ( ( fresh_717452603ubject @ SV93 @ ( late_BoundOutputS @ SV348 ) )
            | ( fresh_name_name @ SV93 @ SV348 ) )
        | ~ ( ~ ( fresh_717452603ubject @ SV93 @ ( late_BoundOutputS @ SV348 ) )
            | ~ ( fresh_name_name @ SV93 @ SV348 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1479]) ).

thf(1739,plain,
    ! [SV348: name,SV93: name] :
      ( ( ( fresh_717452603ubject @ SV93 @ ( late_BoundOutputS @ SV348 ) )
        = ( fresh_name_name @ SV93 @ SV348 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1479]) ).

thf(1740,plain,
    ! [SV349: late_residual,SV94: pi] :
      ( ( ( ~ ( late_transitions @ SV94 @ SV349 ) )
        = $true )
      | ( ( ! [SY1819: name] :
              ( ~ ( fresh_name_pi @ SY1819 @ SV94 )
              | ( fresh_81631222sidual @ SY1819 @ SV349 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1480]) ).

thf(1741,plain,
    ! [SV538: pi,SV350: late_freeRes,SV95: pi] :
      ( ( ~ ( late_transitions @ SV95 @ ( late_FreeR @ SV350 @ SV538 ) )
        | ! [SY2141: name] :
            ( ~ ( fresh_1641682979reeRes @ SY2141 @ SV350 )
            | ( late_transitions @ ( res @ SY2141 @ SV95 ) @ ( late_FreeR @ SV350 @ ( res @ SY2141 @ SV538 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1481]) ).

thf(1742,plain,
    ! [SV539: name,SV351: late_subject,SV96: pi] :
      ( ( ! [SY2142: pi] :
            ( ~ ( late_transitions @ SV96 @ ( late_BoundR @ SV351 @ SV539 @ SY2142 ) )
            | ! [SY2143: name] :
                ( ~ ( fresh_717452603ubject @ SY2143 @ SV351 )
                | ( SY2143 = SV539 )
                | ( late_transitions @ ( res @ SY2143 @ SV96 ) @ ( late_BoundR @ SV351 @ SV539 @ ( res @ SY2143 @ SY2142 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1482]) ).

thf(1743,plain,
    ! [SV540: name,SV352: late_subject,SV97: pi] :
      ( ( ! [SY2144: pi] :
            ~ ( late_transitions @ SV97 @ ( late_BoundR @ SV352 @ SV540 @ SY2144 ) )
        | ! [SY1827: name] :
            ( ~ ( fresh_name_pi @ SY1827 @ SV97 )
            | ( fresh_717452603ubject @ SY1827 @ SV352 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1483]) ).

thf(1744,plain,
    ! [SV541: name,SV353: late_subject,SV98: pi] :
      ( ( ! [SY2146: pi] :
            ( ~ ( late_transitions @ SV98 @ ( late_BoundR @ SV353 @ SV541 @ SY2146 ) )
            | ! [SY2147: name] :
                ( ~ ( fresh_717452603ubject @ SY2147 @ SV353 )
                | ( SY2147 = SV541 )
                | ~ ( fresh_name_pi @ SV541 @ SV98 )
                | ~ ( fresh_717452603ubject @ SV541 @ SV353 )
                | ( late_transitions @ ( res @ SY2147 @ SV98 ) @ ( late_BoundR @ SV353 @ SV541 @ ( res @ SY2147 @ SY2146 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1484]) ).

thf(1745,plain,
    ! [SV542: name,SV354: late_subject,SV99: pi] :
      ( ( ! [SY2148: pi] :
            ( ~ ( late_transitions @ SV99 @ ( late_BoundR @ SV354 @ SV542 @ SY2148 ) )
            | ~ ( fresh_name_pi @ SV542 @ SV99 )
            | ! [SY2149: pi] :
                ( ~ ( fresh_name_pi @ SV542 @ SY2149 )
                | ~ ( fresh_717452603ubject @ SV542 @ SV354 )
                | ( late_transitions @ ( par @ SV99 @ SY2149 ) @ ( late_BoundR @ SV354 @ SV542 @ ( par @ SY2148 @ SY2149 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1485]) ).

thf(1746,plain,
    ! [SV543: name,SV355: late_subject,SV100: pi] :
      ( ( ! [SY2150: pi] :
            ( ~ ( late_transitions @ SV100 @ ( late_BoundR @ SV355 @ SV543 @ SY2150 ) )
            | ! [SY2151: pi] :
                ( ~ ( fresh_name_pi @ SV543 @ SY2151 )
                | ~ ( fresh_name_pi @ SV543 @ SV100 )
                | ~ ( fresh_717452603ubject @ SV543 @ SV355 )
                | ( late_transitions @ ( par @ SY2151 @ SV100 ) @ ( late_BoundR @ SV355 @ SV543 @ ( par @ SY2151 @ SY2150 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1486]) ).

thf(1747,plain,
    ! [SV544: pi,SV356: name,SV101: late_subject] :
      ( ( ! [SY2152: late_freeRes,SY2153: pi] :
            ( ( late_BoundR @ SV101 @ SV356 @ SV544 )
           != ( late_FreeR @ SY2152 @ SY2153 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1487]) ).

thf(1748,plain,
    ! [SV102: late_residual > $o] :
      ( ( ( SV102 @ ( late_BoundR @ ( sK100_Subject2 @ SV102 ) @ ( sK101_SY1085 @ SV102 ) @ ( sK102_SY1087 @ SV102 ) ) )
        = $false )
      | ( ( ~ ( SV102 @ ( late_FreeR @ ( sK98_FreeRes2 @ SV102 ) @ ( sK99_SY1084 @ SV102 ) ) )
          | ! [SY1313: late_residual] : ( SV102 @ SY1313 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1488]) ).

thf(1749,plain,
    ! [SV357: late_residual,SV103: pi] :
      ( ( ( ~ ( late_transitions @ SV103 @ SV357 ) )
        = $true )
      | ( ( ! [SY1840: list_P227219501e_name] : ( late_transitions @ ( perm_name_pi @ SY1840 @ SV103 ) @ ( perm_n414416632sidual @ SY1840 @ SV357 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1489]) ).

thf(1750,plain,
    ! [SV358: name,SV104: name] :
      ( ( ( late_InputS @ SV104 )
        = ( late_BoundOutputS @ SV358 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1490]) ).

thf(1751,plain,
    ! [SV105: late_subject > $o] :
      ( ( ( SV105 @ ( late_InputS @ ( sK97_Name3 @ SV105 ) ) )
        = $false )
      | ( ( ~ ( SV105 @ ( late_BoundOutputS @ ( sK96_Name3 @ SV105 ) ) )
          | ! [SY1317: late_subject] : ( SV105 @ SY1317 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1491]) ).

thf(1752,plain,
    ! [SV545: pi,SV359: late_freeRes,SV106: pi] :
      ( ( ~ ( late_transitions @ SV106 @ ( late_FreeR @ SV359 @ SV545 ) )
        | ! [SY2154: pi] : ( late_transitions @ ( par @ SV106 @ SY2154 ) @ ( late_FreeR @ SV359 @ ( par @ SV545 @ SY2154 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1492]) ).

thf(1753,plain,
    ! [SV546: pi,SV360: late_freeRes,SV107: pi] :
      ( ( ~ ( late_transitions @ SV107 @ ( late_FreeR @ SV360 @ SV546 ) )
        | ! [SY2155: pi] : ( late_transitions @ ( par @ SY2155 @ SV107 ) @ ( late_FreeR @ SV360 @ ( par @ SY2155 @ SV546 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1493]) ).

thf(1754,plain,
    ! [SV547: name,SV361: late_subject,SV108: pi] :
      ( ( ! [SY2156: pi] :
            ( ~ ( late_transitions @ SV108 @ ( late_BoundR @ SV361 @ SV547 @ SY2156 ) )
            | ! [SY2157: name] :
                ( ~ ( fresh_name_pi @ SY2157 @ SV108 )
                | ( SY2157 = SV547 )
                | ( fresh_name_pi @ SY2157 @ SY2156 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1494]) ).

thf(1755,plain,
    ! [SV548: pi,SV362: late_freeRes,SV109: pi] :
      ( ( ~ ( late_transitions @ SV109 @ ( late_FreeR @ SV362 @ SV548 ) )
        | ! [SY2158: name] :
            ( ~ ( fresh_name_pi @ SY2158 @ SV109 )
            | ( fresh_name_pi @ SY2158 @ SV548 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1495]) ).

thf(1756,plain,
    ! [SV549: name,SV363: late_subject,SV110: pi] :
      ( ( ! [SY2159: pi] :
            ( ~ ( late_transitions @ SV110 @ ( late_BoundR @ SV363 @ SV549 @ SY2159 ) )
            | ! [SY2160: pi] :
                ( ~ ( fresh_name_pi @ SV549 @ SY2160 )
                | ( late_transitions @ ( par @ SV110 @ SY2160 ) @ ( late_BoundR @ SV363 @ SV549 @ ( par @ SY2159 @ SY2160 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1496]) ).

thf(1757,plain,
    ! [SV550: name,SV364: late_subject,SV111: pi] :
      ( ( ! [SY2161: pi] :
            ( ~ ( late_transitions @ SV111 @ ( late_BoundR @ SV364 @ SV550 @ SY2161 ) )
            | ! [SY2162: pi] :
                ( ~ ( fresh_name_pi @ SV550 @ SY2162 )
                | ( late_transitions @ ( par @ SY2162 @ SV111 ) @ ( late_BoundR @ SV364 @ SV550 @ ( par @ SY2162 @ SY2161 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1497]) ).

thf(1758,plain,
    ! [SV551: name,SV365: name,SV112: pi] :
      ( ( ! [SY2163: pi] :
            ( ~ ( late_transitions @ SV112 @ ( late_FreeR @ ( late_OutputR @ SV365 @ SV551 ) @ SY2163 ) )
            | ( SV365 = SV551 )
            | ( late_transitions @ ( res @ SV551 @ SV112 ) @ ( late_BoundR @ ( late_BoundOutputS @ SV365 ) @ SV551 @ SY2163 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1498]) ).

thf(1759,plain,
    ! [SV552: late_subject,SV366: pi,SV113: pi] :
      ( ( ! [SY2164: name,SY2165: set_Pr1834926343_pi_pi] :
            ( ~ ( strong2129052853vative @ SV113 @ SV366 @ SV552 @ SY2164 @ SY2165 )
            | ~ ( eqvt_pi @ SY2165 )
            | ! [SY2166: list_P227219501e_name] : ( strong2129052853vative @ ( perm_name_pi @ SY2166 @ SV113 ) @ ( perm_name_pi @ SY2166 @ SV366 ) @ SV552 @ ( perm_name_name @ SY2166 @ SY2164 ) @ SY2165 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1499]) ).

thf(1760,plain,
    ! [SV114: list_P227219501e_name > $o] :
      ( ( ( SV114 @ ( sK93_X_1 @ SV114 ) )
        = $false )
      | ( ( SV114 @ nil_Pr743626285e_name )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1500]) ).

thf(1761,plain,
    ! [SV367: pi,SV115: pi] :
      ( ( ( SV115 != SV367 )
        = $true )
      | ( ( ! [SY1862: list_P227219501e_name] :
              ( ( perm_name_pi @ SY1862 @ SV115 )
              = ( perm_name_pi @ SY1862 @ SV367 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1501]) ).

thf(1762,plain,
    ! [SV553: name,SV368: name,SV116: name] :
      ( ( ~ ( fresh_441084397e_name @ SV116 @ ( produc1570949143e_name @ SV368 @ SV553 ) )
        | ( fresh_name_name @ SV116 @ SV553 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1502]) ).

thf(1763,plain,
    ! [SV369: name,SV117: name] :
      ( ( ( ! [SY1864: name] :
              ~ ( fresh_441084397e_name @ SV117 @ ( produc1570949143e_name @ SV369 @ SY1864 ) ) )
        = $true )
      | ( ( fresh_name_name @ SV117 @ SV369 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1503]) ).

thf(1764,plain,
    ! [SV554: list_pi,SV370: pi,SV118: list_P227219501e_name] :
      ( ( ( perm_name_list_pi @ SV118 @ ( cons_pi @ SV370 @ SV554 ) )
        = ( cons_pi @ ( perm_name_pi @ SV118 @ SV370 ) @ ( perm_name_list_pi @ SV118 @ SV554 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1504]) ).

thf(1765,plain,
    ! [SV371: name,SV119: name] :
      ( ( ~ ( ( ( late_BoundOutputS @ SV119 )
              = ( late_BoundOutputS @ SV371 ) )
            | ( SV119 = SV371 ) )
        | ~ ( ( ( late_BoundOutputS @ SV119 )
             != ( late_BoundOutputS @ SV371 ) )
            | ( SV119 != SV371 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1505]) ).

thf(1766,plain,
    ! [SV371: name,SV119: name] :
      ( ( ( ( late_BoundOutputS @ SV119 )
          = ( late_BoundOutputS @ SV371 ) )
        = ( SV119 = SV371 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1505]) ).

thf(1767,plain,
    ! [SV372: name,SV121: name] :
      ( ( ( late_InputS @ SV121 )
        = ( late_BoundOutputS @ SV372 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1507]) ).

thf(1768,plain,
    ! [SV555: name,SV373: name,SV122: list_P227219501e_name] :
      ( ( ! [SY2167: pi] :
            ( ( perm_name_pi @ SV122 @ ( input @ SV373 @ SV555 @ SY2167 ) )
            = ( input @ ( perm_name_name @ SV122 @ SV373 ) @ ( perm_name_name @ SV122 @ SV555 ) @ ( perm_name_pi @ SV122 @ SY2167 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1508]) ).

thf(1769,plain,
    ! [SV556: pi,SV374: name,SV123: name] :
      ( ( ! [SY2168: name,SY2169: pi] :
            ( ( input @ SV123 @ SV374 @ SV556 )
           != ( res @ SY2168 @ SY2169 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1509]) ).

thf(1770,plain,
    ! [SV557: pi,SV375: name,SV124: name] :
      ( ( ! [SY2170: pi,SY2171: pi] :
            ( ( input @ SV124 @ SV375 @ SV557 )
           != ( par @ SY2170 @ SY2171 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1510]) ).

thf(1771,plain,
    ! [SV558: pi,SV376: name,SV125: name] :
      ( ( ! [SY2172: late_residual] :
            ~ ( late_transitions @ ( res @ SV125 @ ( input @ SV125 @ SV376 @ SV558 ) ) @ SY2172 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1511]) ).

thf(1772,plain,
    ! [SV559: pi,SV377: name,SV126: name] :
      ( ( ! [SY2173: late_freeRes,SY2174: pi] :
            ~ ( late_transitions @ ( input @ SV126 @ SV377 @ SV559 ) @ ( late_FreeR @ SY2173 @ SY2174 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1512]) ).

thf(1773,plain,
    ! [SV560: name,SV378: name,SV127: name] :
      ( ( ! [SY2175: pi,SY2176: late_freeRes,SY2177: pi] :
            ~ ( late_transitions @ ( res @ SV127 @ ( input @ SV378 @ SV560 @ SY2175 ) ) @ ( late_FreeR @ SY2176 @ SY2177 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1513]) ).

thf(1774,plain,
    ! [SV561: pi,SV379: name,SV128: name] :
      ( ( ! [SY2178: name,SY2179: name,SY2180: pi] :
            ~ ( late_transitions @ ( input @ SV128 @ SV379 @ SV561 ) @ ( late_BoundR @ ( late_BoundOutputS @ SY2178 ) @ SY2179 @ SY2180 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1514]) ).

thf(1775,plain,
    ! [SV562: pi,SV380: name,SV129: name] :
      ( ( late_transitions @ ( input @ SV129 @ SV380 @ SV562 ) @ ( late_BoundR @ ( late_InputS @ SV129 ) @ SV380 @ SV562 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1515]) ).

thf(1776,plain,
    ! [SV381: name,SV130: name] :
      ( ( ( SV130 = SV381 )
        = $true )
      | ( ( ! [SY1888: pi] : ( late_transitions @ ( input @ SV381 @ SV130 @ SY1888 ) @ ( late_BoundR @ ( late_InputS @ SV381 ) @ SV130 @ SY1888 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1516]) ).

thf(1777,plain,
    ! [SV563: pi,SV382: name,SV131: name] :
      ( ( ! [SY2181: late_subject] :
            ( ! [SY2182: name,SY2183: pi] :
                ~ ( late_transitions @ ( input @ SV131 @ SV382 @ SV563 ) @ ( late_BoundR @ SY2181 @ SY2182 @ SY2183 ) )
            | ~ ( fresh_717452603ubject @ SV131 @ SY2181 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1517]) ).

thf(1778,plain,
    ! [SV564: name,SV383: name,SV132: name] :
      ( ( ! [SY2184: pi,SY2185: name,SY2186: name,SY2187: pi] :
            ~ ( late_transitions @ ( res @ SV132 @ ( input @ SV383 @ SV564 @ SY2184 ) ) @ ( late_BoundR @ ( late_BoundOutputS @ SY2185 ) @ SY2186 @ SY2187 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1518]) ).

thf(1779,plain,
    ! [SV384: pi,SV133: name] :
      ( ( ( ~ ( fresh_name_pi @ SV133 @ SV384 ) )
        = $true )
      | ( ( ! [SY1898: name,SY1899: name] :
              ( ( input @ SY1898 @ SY1899 @ SV384 )
              = ( input @ SY1898 @ SV133 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1899 @ SV133 ) @ nil_Pr743626285e_name ) @ SV384 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1519]) ).

thf(1780,plain,
    ! [SV565: list_P227219501e_name,SV385: name,SV134: name] :
      ( ( ! [SY2188: name] :
            ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV134 @ SV385 ) @ SV565 ) @ SY2188 )
            = ( swap_name2 @ ( produc1570949143e_name @ SV134 @ SV385 ) @ ( perm_name_name @ SV565 @ SY2188 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1520]) ).

thf(1781,plain,
    ! [SV135: $o] :
      ( ( ( ~ ( SV135
              | $true )
          | ~ ( ~ SV135
              | ~ $true ) )
        = $true )
      | ( ( SV135 = $false )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1521]) ).

thf(1782,plain,
    ! [SV135: $o] :
      ( ( ( SV135 = $true )
        = $true )
      | ( ( SV135 = $false )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1521]) ).

thf(1783,plain,
    ( ( ( ~ ( $true
            | $true )
        | ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1522]) ).

thf(1784,plain,
    ( ( ( $true = $true )
      = $true )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1522]) ).

thf(1785,plain,
    ( ( ( ~ ( $false
            | $true )
        | ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1523]) ).

thf(1786,plain,
    ( ( ( $false = $true )
      = $true )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1523]) ).

thf(1787,plain,
    ! [SV386: list_P227219501e_name,SV136: name] :
      ( ( ( ~ ( fresh_922791155e_name @ SV136 @ SV386 ) )
        = $true )
      | ( ( ! [SY1902: late_subject] :
              ( ~ ( fresh_717452603ubject @ SV136 @ SY1902 )
              | ( fresh_717452603ubject @ SV136 @ ( perm_n1559866809ubject @ SV386 @ SY1902 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1524]) ).

thf(1788,plain,
    ! [SV387: list_P227219501e_name,SV137: name] :
      ( ( ( ~ ( fresh_922791155e_name @ SV137 @ SV387 ) )
        = $true )
      | ( ( ! [SY1903: late_freeRes] :
              ( ~ ( fresh_1641682979reeRes @ SV137 @ SY1903 )
              | ( fresh_1641682979reeRes @ SV137 @ ( perm_n336613537reeRes @ SV387 @ SY1903 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1525]) ).

thf(1789,plain,
    ! [SV388: list_P227219501e_name,SV138: name] :
      ( ( ( ~ ( fresh_922791155e_name @ SV138 @ SV388 ) )
        = $true )
      | ( ( ! [SY1904: pi_Rep] :
              ( ~ ( fresh_name_pi_Rep @ SV138 @ SY1904 )
              | ( fresh_name_pi_Rep @ SV138 @ ( perm_name_pi_Rep @ SV388 @ SY1904 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1526]) ).

thf(1790,plain,
    ! [SV389: list_P227219501e_name,SV139: name] :
      ( ( ( ~ ( fresh_922791155e_name @ SV139 @ SV389 ) )
        = $true )
      | ( ( ! [SY1905: product_unit] :
              ( ~ ( fresh_1143631827t_unit @ SV139 @ SY1905 )
              | ( fresh_1143631827t_unit @ SV139 @ ( perm_n1960409557t_unit @ SV389 @ SY1905 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1527]) ).

thf(1791,plain,
    ! [SV390: list_P227219501e_name,SV140: name] :
      ( ( ( ~ ( fresh_922791155e_name @ SV140 @ SV390 ) )
        = $true )
      | ( ( ! [SY1906: produc1141751126_pi_pi] :
              ( ~ ( fresh_1376661020_pi_pi @ SV140 @ SY1906 )
              | ( fresh_1376661020_pi_pi @ SV140 @ ( perm_n1255502110_pi_pi @ SV390 @ SY1906 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1528]) ).

thf(1792,plain,
    ! [SV391: list_P227219501e_name,SV141: name] :
      ( ( ( ~ ( fresh_922791155e_name @ SV141 @ SV391 ) )
        = $true )
      | ( ( ! [SY1907: name] :
              ( ~ ( fresh_name_name @ SV141 @ SY1907 )
              | ( fresh_name_name @ SV141 @ ( perm_name_name @ SV391 @ SY1907 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1529]) ).

thf(1793,plain,
    ! [SV392: list_P227219501e_name,SV142: name] :
      ( ( ( ~ ( fresh_922791155e_name @ SV142 @ SV392 ) )
        = $true )
      | ( ( ! [SY1908: name > noption_pi] :
              ( ~ ( fresh_543891186ion_pi @ SV142 @ SY1908 )
              | ( fresh_543891186ion_pi @ SV142 @ ( perm_n1667196784ion_pi @ SV392 @ SY1908 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1530]) ).

thf(1794,plain,
    ! [SV566: late_subject,SV393: name,SV147: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV147 @ ( fresh_717452603ubject @ SV393 @ SV566 ) )
        = ( fresh_717452603ubject @ ( perm_name_name @ SV147 @ SV393 ) @ ( perm_n1559866809ubject @ SV147 @ SV566 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1531]) ).

thf(1795,plain,
    ! [SV567: late_freeRes,SV394: name,SV148: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV148 @ ( fresh_1641682979reeRes @ SV394 @ SV567 ) )
        = ( fresh_1641682979reeRes @ ( perm_name_name @ SV148 @ SV394 ) @ ( perm_n336613537reeRes @ SV148 @ SV567 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1532]) ).

thf(1796,plain,
    ! [SV568: pi_Rep,SV395: name,SV149: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV149 @ ( fresh_name_pi_Rep @ SV395 @ SV568 ) )
        = ( fresh_name_pi_Rep @ ( perm_name_name @ SV149 @ SV395 ) @ ( perm_name_pi_Rep @ SV149 @ SV568 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1533]) ).

thf(1797,plain,
    ! [SV569: product_unit,SV396: name,SV150: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV150 @ ( fresh_1143631827t_unit @ SV396 @ SV569 ) )
        = ( fresh_1143631827t_unit @ ( perm_name_name @ SV150 @ SV396 ) @ ( perm_n1960409557t_unit @ SV150 @ SV569 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1534]) ).

thf(1798,plain,
    ! [SV570: produc1141751126_pi_pi,SV397: name,SV151: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV151 @ ( fresh_1376661020_pi_pi @ SV397 @ SV570 ) )
        = ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV151 @ SV397 ) @ ( perm_n1255502110_pi_pi @ SV151 @ SV570 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1535]) ).

thf(1799,plain,
    ! [SV571: name,SV398: name,SV152: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV152 @ ( fresh_name_name @ SV398 @ SV571 ) )
        = ( fresh_name_name @ ( perm_name_name @ SV152 @ SV398 ) @ ( perm_name_name @ SV152 @ SV571 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1536]) ).

thf(1800,plain,
    ! [SV572: pi,SV399: name,SV153: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV153 @ ( fresh_name_pi @ SV399 @ SV572 ) )
        = ( fresh_name_pi @ ( perm_name_name @ SV153 @ SV399 ) @ ( perm_name_pi @ SV153 @ SV572 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1537]) ).

thf(1801,plain,
    ! [SV573: name > noption_pi,SV400: name,SV154: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV154 @ ( fresh_543891186ion_pi @ SV400 @ SV573 ) )
        = ( fresh_543891186ion_pi @ ( perm_name_name @ SV154 @ SV400 ) @ ( perm_n1667196784ion_pi @ SV154 @ SV573 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1538]) ).

thf(1802,plain,
    ! [SV574: late_subject,SV401: name,SV155: list_P227219501e_name] :
      ( ( ( fresh_717452603ubject @ ( perm_name_name @ SV155 @ SV401 ) @ ( perm_n1559866809ubject @ SV155 @ SV574 ) )
        = ( fresh_717452603ubject @ SV401 @ SV574 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1539]) ).

thf(1803,plain,
    ! [SV575: late_freeRes,SV402: name,SV156: list_P227219501e_name] :
      ( ( ( fresh_1641682979reeRes @ ( perm_name_name @ SV156 @ SV402 ) @ ( perm_n336613537reeRes @ SV156 @ SV575 ) )
        = ( fresh_1641682979reeRes @ SV402 @ SV575 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1540]) ).

thf(1804,plain,
    ! [SV576: pi_Rep,SV403: name,SV157: list_P227219501e_name] :
      ( ( ( fresh_name_pi_Rep @ ( perm_name_name @ SV157 @ SV403 ) @ ( perm_name_pi_Rep @ SV157 @ SV576 ) )
        = ( fresh_name_pi_Rep @ SV403 @ SV576 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1541]) ).

thf(1805,plain,
    ! [SV577: product_unit,SV404: name,SV158: list_P227219501e_name] :
      ( ( ( fresh_1143631827t_unit @ ( perm_name_name @ SV158 @ SV404 ) @ ( perm_n1960409557t_unit @ SV158 @ SV577 ) )
        = ( fresh_1143631827t_unit @ SV404 @ SV577 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1542]) ).

thf(1806,plain,
    ! [SV578: produc1141751126_pi_pi,SV405: name,SV159: list_P227219501e_name] :
      ( ( ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV159 @ SV405 ) @ ( perm_n1255502110_pi_pi @ SV159 @ SV578 ) )
        = ( fresh_1376661020_pi_pi @ SV405 @ SV578 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1543]) ).

thf(1807,plain,
    ! [SV579: name,SV406: name,SV160: list_P227219501e_name] :
      ( ( ( fresh_name_name @ ( perm_name_name @ SV160 @ SV406 ) @ ( perm_name_name @ SV160 @ SV579 ) )
        = ( fresh_name_name @ SV406 @ SV579 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1544]) ).

thf(1808,plain,
    ! [SV580: name > noption_pi,SV407: name,SV161: list_P227219501e_name] :
      ( ( ( fresh_543891186ion_pi @ ( perm_name_name @ SV161 @ SV407 ) @ ( perm_n1667196784ion_pi @ SV161 @ SV580 ) )
        = ( fresh_543891186ion_pi @ SV407 @ SV580 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1545]) ).

thf(1809,plain,
    ! [SV581: late_subject,SV408: list_P227219501e_name,SV162: list_P227219501e_name] :
      ( ( ( perm_n1559866809ubject @ SV162 @ ( perm_n1559866809ubject @ SV408 @ SV581 ) )
        = ( perm_n1559866809ubject @ ( perm_n1160739829e_name @ SV162 @ SV408 ) @ ( perm_n1559866809ubject @ SV162 @ SV581 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1546]) ).

thf(1810,plain,
    ! [SV582: late_freeRes,SV409: list_P227219501e_name,SV163: list_P227219501e_name] :
      ( ( ( perm_n336613537reeRes @ SV163 @ ( perm_n336613537reeRes @ SV409 @ SV582 ) )
        = ( perm_n336613537reeRes @ ( perm_n1160739829e_name @ SV163 @ SV409 ) @ ( perm_n336613537reeRes @ SV163 @ SV582 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1547]) ).

thf(1811,plain,
    ! [SV583: pi_Rep,SV410: list_P227219501e_name,SV164: list_P227219501e_name] :
      ( ( ( perm_name_pi_Rep @ SV164 @ ( perm_name_pi_Rep @ SV410 @ SV583 ) )
        = ( perm_name_pi_Rep @ ( perm_n1160739829e_name @ SV164 @ SV410 ) @ ( perm_name_pi_Rep @ SV164 @ SV583 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1548]) ).

thf(1812,plain,
    ! [SV584: name,SV411: list_P227219501e_name,SV165: list_P227219501e_name] :
      ( ( ( perm_name_name @ SV165 @ ( perm_name_name @ SV411 @ SV584 ) )
        = ( perm_name_name @ ( perm_n1160739829e_name @ SV165 @ SV411 ) @ ( perm_name_name @ SV165 @ SV584 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1549]) ).

thf(1813,plain,
    ! [SV585: late_subject,SV412: list_P227219501e_name,SV166: list_P227219501e_name] :
      ( ( ( perm_n1559866809ubject @ SV166 @ ( perm_n1559866809ubject @ SV412 @ SV585 ) )
        = ( perm_n1559866809ubject @ ( perm_n1160739829e_name @ SV166 @ SV412 ) @ ( perm_n1559866809ubject @ SV166 @ SV585 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1550]) ).

thf(1814,plain,
    ! [SV586: late_freeRes,SV413: list_P227219501e_name,SV167: list_P227219501e_name] :
      ( ( ( perm_n336613537reeRes @ SV167 @ ( perm_n336613537reeRes @ SV413 @ SV586 ) )
        = ( perm_n336613537reeRes @ ( perm_n1160739829e_name @ SV167 @ SV413 ) @ ( perm_n336613537reeRes @ SV167 @ SV586 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1551]) ).

thf(1815,plain,
    ! [SV587: pi_Rep,SV414: list_P227219501e_name,SV168: list_P227219501e_name] :
      ( ( ( perm_name_pi_Rep @ SV168 @ ( perm_name_pi_Rep @ SV414 @ SV587 ) )
        = ( perm_name_pi_Rep @ ( perm_n1160739829e_name @ SV168 @ SV414 ) @ ( perm_name_pi_Rep @ SV168 @ SV587 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1552]) ).

thf(1816,plain,
    ! [SV588: name,SV415: list_P227219501e_name,SV169: list_P227219501e_name] :
      ( ( ( perm_name_name @ SV169 @ ( perm_name_name @ SV415 @ SV588 ) )
        = ( perm_name_name @ ( perm_n1160739829e_name @ SV169 @ SV415 ) @ ( perm_name_name @ SV169 @ SV588 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1553]) ).

thf(1817,plain,
    ! [SV589: late_subject,SV416: list_P227219501e_name,SV170: list_P227219501e_name] :
      ( ( ( perm_n1559866809ubject @ SV170 @ ( perm_n1559866809ubject @ SV416 @ SV589 ) )
        = ( perm_n1559866809ubject @ ( perm_n1160739829e_name @ SV170 @ SV416 ) @ ( perm_n1559866809ubject @ SV170 @ SV589 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1554]) ).

thf(1818,plain,
    ! [SV590: late_freeRes,SV417: list_P227219501e_name,SV171: list_P227219501e_name] :
      ( ( ( perm_n336613537reeRes @ SV171 @ ( perm_n336613537reeRes @ SV417 @ SV590 ) )
        = ( perm_n336613537reeRes @ ( perm_n1160739829e_name @ SV171 @ SV417 ) @ ( perm_n336613537reeRes @ SV171 @ SV590 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1555]) ).

thf(1819,plain,
    ! [SV591: pi_Rep,SV418: list_P227219501e_name,SV172: list_P227219501e_name] :
      ( ( ( perm_name_pi_Rep @ SV172 @ ( perm_name_pi_Rep @ SV418 @ SV591 ) )
        = ( perm_name_pi_Rep @ ( perm_n1160739829e_name @ SV172 @ SV418 ) @ ( perm_name_pi_Rep @ SV172 @ SV591 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1556]) ).

thf(1820,plain,
    ! [SV592: name,SV419: list_P227219501e_name,SV173: list_P227219501e_name] :
      ( ( ( perm_name_name @ SV173 @ ( perm_name_name @ SV419 @ SV592 ) )
        = ( perm_name_name @ ( perm_n1160739829e_name @ SV173 @ SV419 ) @ ( perm_name_name @ SV173 @ SV592 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1557]) ).

thf(1821,plain,
    ! [SV593: late_subject,SV420: late_subject,SV174: list_P227219501e_name] :
      ( ( ( ( perm_n1559866809ubject @ SV174 @ SV420 )
          = ( perm_n1559866809ubject @ SV174 @ SV593 ) )
        = ( SV420 = SV593 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1558]) ).

thf(1822,plain,
    ! [SV594: late_freeRes,SV421: late_freeRes,SV175: list_P227219501e_name] :
      ( ( ( ( perm_n336613537reeRes @ SV175 @ SV421 )
          = ( perm_n336613537reeRes @ SV175 @ SV594 ) )
        = ( SV421 = SV594 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1559]) ).

thf(1823,plain,
    ! [SV595: pi_Rep,SV422: pi_Rep,SV176: list_P227219501e_name] :
      ( ( ( ( perm_name_pi_Rep @ SV176 @ SV422 )
          = ( perm_name_pi_Rep @ SV176 @ SV595 ) )
        = ( SV422 = SV595 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1560]) ).

thf(1824,plain,
    ! [SV596: name,SV423: name,SV177: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV177 @ SV423 )
          = ( perm_name_name @ SV177 @ SV596 ) )
        = ( SV423 = SV596 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1561]) ).

thf(1825,plain,
    ! [SV597: late_subject,SV424: late_subject > late_subject,SV178: list_P227219501e_name] :
      ( ( ( perm_n1559866809ubject @ SV178 @ ( SV424 @ SV597 ) )
        = ( perm_n1447856217ubject @ SV178 @ SV424 @ ( perm_n1559866809ubject @ SV178 @ SV597 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1562]) ).

thf(1826,plain,
    ! [SV598: late_freeRes,SV425: late_freeRes > late_subject,SV179: list_P227219501e_name] :
      ( ( ( perm_n1559866809ubject @ SV179 @ ( SV425 @ SV598 ) )
        = ( perm_n303101761ubject @ SV179 @ SV425 @ ( perm_n336613537reeRes @ SV179 @ SV598 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1563]) ).

thf(1827,plain,
    ! [SV599: pi_Rep,SV426: pi_Rep > late_subject,SV180: list_P227219501e_name] :
      ( ( ( perm_n1559866809ubject @ SV180 @ ( SV426 @ SV599 ) )
        = ( perm_n698371375ubject @ SV180 @ SV426 @ ( perm_name_pi_Rep @ SV180 @ SV599 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1564]) ).

thf(1828,plain,
    ! [SV600: name,SV427: name > late_subject,SV181: list_P227219501e_name] :
      ( ( ( perm_n1559866809ubject @ SV181 @ ( SV427 @ SV600 ) )
        = ( perm_n1387060402ubject @ SV181 @ SV427 @ ( perm_name_name @ SV181 @ SV600 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1565]) ).

thf(1829,plain,
    ! [SV601: late_subject,SV428: late_subject > late_freeRes,SV182: list_P227219501e_name] :
      ( ( ( perm_n336613537reeRes @ SV182 @ ( SV428 @ SV601 ) )
        = ( perm_n443561793reeRes @ SV182 @ SV428 @ ( perm_n1559866809ubject @ SV182 @ SV601 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1566]) ).

thf(1830,plain,
    ! [SV602: late_freeRes,SV429: late_freeRes > late_freeRes,SV183: list_P227219501e_name] :
      ( ( ( perm_n336613537reeRes @ SV183 @ ( SV429 @ SV602 ) )
        = ( perm_n1446290985reeRes @ SV183 @ SV429 @ ( perm_n336613537reeRes @ SV183 @ SV602 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1567]) ).

thf(1831,plain,
    ! [SV603: pi_Rep,SV430: pi_Rep > late_freeRes,SV184: list_P227219501e_name] :
      ( ( ( perm_n336613537reeRes @ SV184 @ ( SV430 @ SV603 ) )
        = ( perm_n1841560599reeRes @ SV184 @ SV430 @ ( perm_name_pi_Rep @ SV184 @ SV603 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1568]) ).

thf(1832,plain,
    ! [SV604: name,SV431: name > late_freeRes,SV185: list_P227219501e_name] :
      ( ( ( perm_n336613537reeRes @ SV185 @ ( SV431 @ SV604 ) )
        = ( perm_n382765978reeRes @ SV185 @ SV431 @ ( perm_name_name @ SV185 @ SV604 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1569]) ).

thf(1833,plain,
    ! [SV605: late_subject,SV432: late_subject,SV186: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV186 @ ( SV432 = SV605 ) )
        = ( ( perm_n1559866809ubject @ SV186 @ SV432 )
          = ( perm_n1559866809ubject @ SV186 @ SV605 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1570]) ).

thf(1834,plain,
    ! [SV606: late_freeRes,SV433: late_freeRes,SV187: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV187 @ ( SV433 = SV606 ) )
        = ( ( perm_n336613537reeRes @ SV187 @ SV433 )
          = ( perm_n336613537reeRes @ SV187 @ SV606 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1571]) ).

thf(1835,plain,
    ! [SV607: pi_Rep,SV434: pi_Rep,SV188: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV188 @ ( SV434 = SV607 ) )
        = ( ( perm_name_pi_Rep @ SV188 @ SV434 )
          = ( perm_name_pi_Rep @ SV188 @ SV607 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1572]) ).

thf(1836,plain,
    ! [SV608: name,SV435: name,SV189: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV189 @ ( SV435 = SV608 ) )
        = ( ( perm_name_name @ SV189 @ SV435 )
          = ( perm_name_name @ SV189 @ SV608 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1573]) ).

thf(1837,plain,
    ! [SV609: name,SV436: name,SV190: pi] :
      ( ( ! [SY2189: pi,SY2190: pi] :
            ( ~ ( late_transitions @ SV190 @ ( late_BoundR @ ( late_BoundOutputS @ SV436 ) @ SV609 @ SY2189 ) )
            | ! [SY2191: name,SY2192: pi] :
                ( ~ ( late_transitions @ SY2190 @ ( late_BoundR @ ( late_InputS @ SV436 ) @ SY2191 @ SY2192 ) )
                | ~ ( fresh_name_pi @ SY2191 @ SV190 )
                | ~ ( fresh_name_pi @ SY2191 @ SY2190 )
                | ~ ( fresh_name_pi @ SV609 @ SV190 )
                | ~ ( fresh_name_pi @ SV609 @ SY2190 )
                | ( SY2191 = SV436 )
                | ~ ( fresh_name_pi @ SY2191 @ SY2189 )
                | ( SV609 = SV436 )
                | ~ ( fresh_name_pi @ SV609 @ SY2192 )
                | ( SY2191 = SV609 )
                | ( late_transitions @ ( par @ SV190 @ SY2190 ) @ ( late_FreeR @ late_TauR @ ( res @ SV609 @ ( par @ SY2189 @ ( subs @ SY2192 @ SY2191 @ SV609 ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1574]) ).

thf(1838,plain,
    ! [SV610: name,SV437: name,SV191: pi] :
      ( ( ! [SY2193: pi,SY2194: pi] :
            ( ~ ( late_transitions @ SV191 @ ( late_BoundR @ ( late_InputS @ SV437 ) @ SV610 @ SY2193 ) )
            | ! [SY2195: name,SY2196: pi] :
                ( ~ ( late_transitions @ SY2194 @ ( late_BoundR @ ( late_BoundOutputS @ SV437 ) @ SY2195 @ SY2196 ) )
                | ~ ( fresh_name_pi @ SV610 @ SV191 )
                | ~ ( fresh_name_pi @ SV610 @ SY2194 )
                | ~ ( fresh_name_pi @ SY2195 @ SV191 )
                | ~ ( fresh_name_pi @ SY2195 @ SY2194 )
                | ( SV610 = SV437 )
                | ~ ( fresh_name_pi @ SV610 @ SY2196 )
                | ( SY2195 = SV437 )
                | ~ ( fresh_name_pi @ SY2195 @ SY2193 )
                | ( SV610 = SY2195 )
                | ( late_transitions @ ( par @ SV191 @ SY2194 ) @ ( late_FreeR @ late_TauR @ ( res @ SY2195 @ ( par @ ( subs @ SY2193 @ SV610 @ SY2195 ) @ SY2196 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1575]) ).

thf(1839,plain,
    ! [SV611: name,SV438: name,SV192: pi] :
      ( ( ! [SY2197: pi,SY2198: pi] :
            ( ~ ( late_transitions @ SV192 @ ( late_BoundR @ ( late_BoundOutputS @ SV438 ) @ SV611 @ SY2197 ) )
            | ! [SY2199: name,SY2200: pi] :
                ( ~ ( late_transitions @ SY2198 @ ( late_BoundR @ ( late_InputS @ SV438 ) @ SY2199 @ SY2200 ) )
                | ~ ( fresh_name_pi @ SV611 @ SY2198 )
                | ( late_transitions @ ( par @ SV192 @ SY2198 ) @ ( late_FreeR @ late_TauR @ ( res @ SV611 @ ( par @ SY2197 @ ( subs @ SY2200 @ SY2199 @ SV611 ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1576]) ).

thf(1840,plain,
    ! [SV612: name,SV439: name,SV193: pi] :
      ( ( ! [SY2201: pi,SY2202: pi] :
            ( ~ ( late_transitions @ SV193 @ ( late_BoundR @ ( late_InputS @ SV439 ) @ SV612 @ SY2201 ) )
            | ! [SY2203: name,SY2204: pi] :
                ( ~ ( late_transitions @ SY2202 @ ( late_BoundR @ ( late_BoundOutputS @ SV439 ) @ SY2203 @ SY2204 ) )
                | ~ ( fresh_name_pi @ SY2203 @ SV193 )
                | ( late_transitions @ ( par @ SV193 @ SY2202 ) @ ( late_FreeR @ late_TauR @ ( res @ SY2203 @ ( par @ ( subs @ SY2201 @ SV612 @ SY2203 ) @ SY2204 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1577]) ).

thf(1841,plain,
    ! [SV613: name,SV440: name,SV194: pi] :
      ( ( ! [SY2205: pi,SY2206: pi] :
            ( ~ ( late_transitions @ SV194 @ ( late_FreeR @ ( late_OutputR @ SV440 @ SV613 ) @ SY2205 ) )
            | ! [SY2207: name,SY2208: pi] :
                ( ~ ( late_transitions @ SY2206 @ ( late_BoundR @ ( late_InputS @ SV440 ) @ SY2207 @ SY2208 ) )
                | ~ ( fresh_name_pi @ SY2207 @ SV194 )
                | ~ ( fresh_name_pi @ SY2207 @ SY2206 )
                | ( SY2207 = SV440 )
                | ( SY2207 = SV613 )
                | ~ ( fresh_name_pi @ SY2207 @ SY2205 )
                | ( late_transitions @ ( par @ SV194 @ SY2206 ) @ ( late_FreeR @ late_TauR @ ( par @ SY2205 @ ( subs @ SY2208 @ SY2207 @ SV613 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1578]) ).

thf(1842,plain,
    ! [SV614: name,SV441: name,SV195: pi] :
      ( ( ! [SY2209: pi,SY2210: pi] :
            ( ~ ( late_transitions @ SV195 @ ( late_BoundR @ ( late_InputS @ SV441 ) @ SV614 @ SY2209 ) )
            | ! [SY2211: name,SY2212: pi] :
                ( ~ ( late_transitions @ SY2210 @ ( late_FreeR @ ( late_OutputR @ SV441 @ SY2211 ) @ SY2212 ) )
                | ~ ( fresh_name_pi @ SV614 @ SV195 )
                | ~ ( fresh_name_pi @ SV614 @ SY2210 )
                | ( SV614 = SV441 )
                | ( SV614 = SY2211 )
                | ~ ( fresh_name_pi @ SV614 @ SY2212 )
                | ( late_transitions @ ( par @ SV195 @ SY2210 ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ SY2209 @ SV614 @ SY2211 ) @ SY2212 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1579]) ).

thf(1843,plain,
    ! [SV615: name,SV442: name,SV196: pi] :
      ( ( ! [SY2213: pi,SY2214: pi] :
            ( ~ ( late_transitions @ SV196 @ ( late_FreeR @ ( late_OutputR @ SV442 @ SV615 ) @ SY2213 ) )
            | ! [SY2215: name,SY2216: pi] :
                ( ~ ( late_transitions @ SY2214 @ ( late_BoundR @ ( late_InputS @ SV442 ) @ SY2215 @ SY2216 ) )
                | ( late_transitions @ ( par @ SV196 @ SY2214 ) @ ( late_FreeR @ late_TauR @ ( par @ SY2213 @ ( subs @ SY2216 @ SY2215 @ SV615 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1580]) ).

thf(1844,plain,
    ! [SV616: name,SV443: name,SV197: pi] :
      ( ( ! [SY2217: pi,SY2218: pi] :
            ( ~ ( late_transitions @ SV197 @ ( late_BoundR @ ( late_InputS @ SV443 ) @ SV616 @ SY2217 ) )
            | ! [SY2219: name,SY2220: pi] :
                ( ~ ( late_transitions @ SY2218 @ ( late_FreeR @ ( late_OutputR @ SV443 @ SY2219 ) @ SY2220 ) )
                | ( late_transitions @ ( par @ SV197 @ SY2218 ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ SY2217 @ SV616 @ SY2219 ) @ SY2220 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1581]) ).

thf(1845,plain,
    ! [SV617: pi,SV444: late_freeRes,SV200: list_P227219501e_name] :
      ( ( ( perm_n414416632sidual @ SV200 @ ( late_FreeR @ SV444 @ SV617 ) )
        = ( late_FreeR @ ( perm_n336613537reeRes @ SV200 @ SV444 ) @ ( perm_name_pi @ SV200 @ SV617 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1582]) ).

thf(1846,plain,
    ! [SV618: name,SV445: name,SV201: list_P227219501e_name] :
      ( ( ( perm_n336613537reeRes @ SV201 @ ( late_OutputR @ SV445 @ SV618 ) )
        = ( late_OutputR @ ( perm_name_name @ SV201 @ SV445 ) @ ( perm_name_name @ SV201 @ SV618 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1583]) ).

thf(1847,plain,
    ! [SV447: name,SV203: name] :
      ( ( ~ ( ( fresh_717452603ubject @ SV203 @ ( late_InputS @ SV447 ) )
            | ( fresh_name_name @ SV203 @ SV447 ) )
        | ~ ( ~ ( fresh_717452603ubject @ SV203 @ ( late_InputS @ SV447 ) )
            | ~ ( fresh_name_name @ SV203 @ SV447 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1585]) ).

thf(1848,plain,
    ! [SV447: name,SV203: name] :
      ( ( ( fresh_717452603ubject @ SV203 @ ( late_InputS @ SV447 ) )
        = ( fresh_name_name @ SV203 @ SV447 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1585]) ).

thf(1849,plain,
    ! [SV619: name,SV448: late_subject,SV204: list_P227219501e_name] :
      ( ( ! [SY2221: pi] :
            ( ( perm_n414416632sidual @ SV204 @ ( late_BoundR @ SV448 @ SV619 @ SY2221 ) )
            = ( late_BoundR @ ( perm_n1559866809ubject @ SV204 @ SV448 ) @ ( perm_name_name @ SV204 @ SV619 ) @ ( perm_name_pi @ SV204 @ SY2221 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1586]) ).

thf(1850,plain,
    ! [SV620: name,SV449: name,SV205: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV205 @ SV449 )
          = ( perm_name_name @ SV205 @ SV620 ) )
        = ( SV449 = SV620 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1587]) ).

thf(1851,plain,
    ! [SV450: late_freeRes,SV206: pi] :
      ( ( ( ! [SY1997: pi] :
              ~ ( late_transitions @ SV206 @ ( late_FreeR @ SV450 @ SY1997 ) ) )
        = $true )
      | ( ( ! [SY1998: name] :
              ( ~ ( fresh_name_pi @ SY1998 @ SV206 )
              | ( fresh_1641682979reeRes @ SY1998 @ SV450 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1588]) ).

thf(1852,plain,
    ! [SV207: late_freeRes > $o] :
      ( ( ( SV207 @ ( late_OutputR @ ( sK62_Name1 @ SV207 ) @ ( sK63_SY1045 @ SV207 ) ) )
        = $false )
      | ( ( ~ ( SV207 @ late_TauR )
          | ! [SY1568: late_freeRes] : ( SV207 @ SY1568 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1589]) ).

thf(1853,plain,
    ! [SV451: name,SV208: name] :
      ( ( ( late_OutputR @ SV208 @ SV451 )
        = late_TauR )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1590]) ).

thf(1854,plain,
    ! [SV621: late_subject,SV452: pi,SV209: pi] :
      ( ( ! [SY2222: name,SY2223: set_Pr1834926343_pi_pi] :
            ( ~ ( strong2129052853vative @ SV209 @ SV452 @ SV621 @ SY2222 @ SY2223 )
            | ~ ( eqvt_pi @ SY2223 )
            | ! [SY2224: list_P227219501e_name] : ( strong2129052853vative @ ( perm_name_pi @ SY2224 @ SV209 ) @ ( perm_name_pi @ SY2224 @ SV452 ) @ ( perm_n1559866809ubject @ SY2224 @ SV621 ) @ ( perm_name_name @ SY2224 @ SY2222 ) @ SY2223 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1591]) ).

thf(1855,plain,
    ! [SV453: name] :
      ( ( ! [SV622: name] :
            ( ( fresh_name_name @ SV453 @ SV622 )
            = ( SV453 != SV622 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1592]) ).

thf(1856,plain,
    ! [SV453: name] :
      ( ( ( fresh_name_name @ SV453 )
        = ( ^ [SY2003: name] : ( SV453 != SY2003 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1592]) ).

thf(1857,plain,
    ! [SV454: late_subject,SV213: late_subject] :
      ( ( ( SV213 != SV454 )
        = $true )
      | ( ( ! [SY2004: list_P227219501e_name] :
              ( ( perm_n1559866809ubject @ SY2004 @ SV213 )
              = ( perm_n1559866809ubject @ SY2004 @ SV454 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1593]) ).

thf(1858,plain,
    ! [SV455: late_freeRes,SV214: late_freeRes] :
      ( ( ( SV214 != SV455 )
        = $true )
      | ( ( ! [SY2005: list_P227219501e_name] :
              ( ( perm_n336613537reeRes @ SY2005 @ SV214 )
              = ( perm_n336613537reeRes @ SY2005 @ SV455 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1594]) ).

thf(1859,plain,
    ! [SV456: pi_Rep,SV215: pi_Rep] :
      ( ( ( SV215 != SV456 )
        = $true )
      | ( ( ! [SY2006: list_P227219501e_name] :
              ( ( perm_name_pi_Rep @ SY2006 @ SV215 )
              = ( perm_name_pi_Rep @ SY2006 @ SV456 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1595]) ).

thf(1860,plain,
    ! [SV457: name,SV216: name] :
      ( ( ( SV216 != SV457 )
        = $true )
      | ( ( ! [SY2007: list_P227219501e_name] :
              ( ( perm_name_name @ SY2007 @ SV216 )
              = ( perm_name_name @ SY2007 @ SV457 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1596]) ).

thf(1861,plain,
    ! [SV458: name,SV217: name] :
      ( ( ( ! [SY2008: product_prod_pi_pi] :
              ~ ( fresh_1376661020_pi_pi @ SV217 @ ( produc235456326_pi_pi @ SV458 @ SY2008 ) ) )
        = $true )
      | ( ( fresh_name_name @ SV217 @ SV458 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1597]) ).

thf(1862,plain,
    ! [SV459: name,SV218: name] :
      ( ( ~ ( ( ( late_InputS @ SV218 )
              = ( late_InputS @ SV459 ) )
            | ( SV218 = SV459 ) )
        | ~ ( ( ( late_InputS @ SV218 )
             != ( late_InputS @ SV459 ) )
            | ( SV218 != SV459 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1598]) ).

thf(1863,plain,
    ! [SV459: name,SV218: name] :
      ( ( ( ( late_InputS @ SV218 )
          = ( late_InputS @ SV459 ) )
        = ( SV218 = SV459 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1598]) ).

thf(1864,plain,
    ! [SV460: name,SV219: name] :
      ( ( ( late_OutputR @ SV219 @ SV460 )
        = late_TauR )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1599]) ).

thf(1865,plain,
    ! [SV221: product_unit > $o] :
      ( ( ( SV221 @ product_Unity )
        = $false )
      | ( ( ! [SY1588: product_unit] : ( SV221 @ SY1588 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1601]) ).

thf(1866,plain,
    ! [SV461: produc367475239e_name] :
      ( ( ! [SV623: name] :
            ( ( swap_name2 @ SV461 @ SV623 )
            = ( swap_name @ SV461 @ SV623 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1602]) ).

thf(1867,plain,
    ! [SV461: produc367475239e_name] :
      ( ( ( swap_name2 @ SV461 )
        = ( swap_name @ SV461 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1602]) ).

thf(1868,plain,
    ! [SV624: pi,SV462: name,SV224: name] :
      ( ( ( fresh_name_pi @ SV224 @ ( res @ SV462 @ SV624 ) )
        = ( fresh_543891186ion_pi @ SV224 @ ( abs_fun_name_pi @ SV462 @ SV624 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1603]) ).

thf(1869,plain,
    ! [SV227: pi] :
      ( ( ( late_transitions @ ( par @ p @ ( res @ x @ q ) ) @ ( late_BoundR @ ( late_BoundOutputS @ ab ) @ y @ SV227 ) )
        = $false )
      | ( ( ~ ( strong2129052853vative @ SV227 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ ( par @ ( subs @ p2 @ ya @ c ) @ q2 ) ) @ ( late_BoundOutputS @ ab ) @ y @ rel ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1606]) ).

thf(1870,plain,
    ! [SV228: pi > late_residual > $o] :
      ( ( ( ~ ( fresh_name_pi @ ( sK35_SY1011 @ SV228 ) @ ( sK37_SY1016 @ SV228 ) )
          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK35_SY1011 @ SV228 ) @ ( sK34_Subject2 @ SV228 ) )
                | ~ ~ ( SV228 @ ( sK37_SY1016 @ SV228 ) @ ( late_BoundR @ ( sK34_Subject2 @ SV228 ) @ ( sK35_SY1011 @ SV228 ) @ ( sK36_SY1014 @ SV228 ) ) ) ) )
        = $false )
      | ( ( ~ ( SV228 @ ( sK33_SY1010 @ SV228 ) @ ( late_FreeR @ ( sK31_FreeRes2 @ SV228 ) @ ( sK32_SY1008 @ SV228 ) ) )
          | ! [SY1593: pi,SY1594: late_residual] : ( SV228 @ SY1593 @ SY1594 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1607]) ).

thf(1871,plain,
    ! [SV625: late_subject,SV465: pi,SV229: pi] :
      ( ( ! [SY2225: name,SY2226: pi] :
            ( ~ ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SY2225 @ SY2226 ) )
            | ~ ( ( ( par @ SV229 @ SV465 )
                 != ( par @ ( sK108_P5 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) ) )
                | ~ ~ ( ( ( late_BoundR @ SV625 @ SY2225 @ SY2226 )
                       != ( late_BoundR @ ( sK109_SY1098 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) ) ) )
                      | ~ ~ ( ~ ( late_transitions @ ( sK108_P5 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) )
                                  | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) )
                                        | ~ ( fresh_717452603ubject @ ( sK110_SY1102 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) )
            | ~ ( ( ( par @ SV229 @ SV465 )
                 != ( par @ ( sK107_SY1097 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) ) )
                | ~ ~ ( ( ( late_BoundR @ SV625 @ SY2225 @ SY2226 )
                       != ( late_BoundR @ ( sK104_SY1088 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) ) ) )
                      | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) )
                                  | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) )
                                        | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SY2226 @ SY2225 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1608]) ).

thf(1872,plain,
    ! [SV626: late_subject,SV466: pi,SV230: pi] :
      ( ( ! [SY2227: name,SY2228: pi] :
            ( ~ ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SV626 @ SY2227 @ SY2228 ) )
            | ~ ( fresh_name_pi @ SY2227 @ SV230 )
            | ~ ( fresh_name_pi @ SY2227 @ SV466 )
            | ! [SY2229: pi > $o] :
                ( ~ ( ~ ( late_transitions @ SV230 @ ( late_BoundR @ SV626 @ SY2227 @ ( sK95_P4 @ SY2229 @ SY2228 @ SY2227 @ SV626 @ SV466 @ SV230 ) ) )
                    | ~ ~ ( SY2229 @ ( par @ ( sK95_P4 @ SY2229 @ SY2228 @ SY2227 @ SV626 @ SV466 @ SV230 ) @ SV466 ) ) )
                | ~ ( ~ ( late_transitions @ SV466 @ ( late_BoundR @ SV626 @ SY2227 @ ( sK94_Q4 @ SY2229 @ SY2228 @ SY2227 @ SV626 @ SV466 @ SV230 ) ) )
                    | ~ ~ ( SY2229 @ ( par @ SV230 @ ( sK94_Q4 @ SY2229 @ SY2228 @ SY2227 @ SV626 @ SV466 @ SV230 ) ) ) )
                | ( SY2229 @ SY2228 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1609]) ).

thf(1873,plain,
    ! [SV231: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( ~ ( fresh_1376661020_pi_pi @ ( sK21_SY993 @ SV231 ) @ ( sK23_SY998 @ SV231 ) )
          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK21_SY993 @ SV231 ) @ ( sK20_Subject2 @ SV231 ) )
                | ~ ~ ( SV231 @ ( sK23_SY998 @ SV231 ) @ ( late_BoundR @ ( sK20_Subject2 @ SV231 ) @ ( sK21_SY993 @ SV231 ) @ ( sK22_SY996 @ SV231 ) ) ) ) )
        = $false )
      | ( ( ~ ( SV231 @ ( sK19_SY992 @ SV231 ) @ ( late_FreeR @ ( sK17_FreeRes2 @ SV231 ) @ ( sK18_SY990 @ SV231 ) ) )
          | ! [SY1604: produc1141751126_pi_pi,SY1605: late_residual] : ( SV231 @ SY1604 @ SY1605 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1610]) ).

thf(1874,plain,
    ! [SV627: late_subject,SV467: pi,SV232: name] :
      ( ( ! [SY2230: name,SY2231: pi] :
            ( ~ ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SY2230 @ SY2231 ) )
            | ~ ( ( ( res @ SV232 @ SV467 )
                 != ( res @ ( sK71_SY1059 @ SY2231 @ SY2230 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SY2231 @ SY2230 @ SV627 @ SV467 @ SV232 ) ) )
                | ~ ~ ( ( ( late_BoundR @ SV627 @ SY2230 @ SY2231 )
                       != ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SY2231 @ SY2230 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SY2231 @ SY2230 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SY2231 @ SY2230 @ SV627 @ SV467 @ SV232 ) ) )
                      | ~ ~ ( ~ ( late_transitions @ ( sK69_P5 @ SY2231 @ SY2230 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SY2231 @ SY2230 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SY2231 @ SY2230 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SY2231 @ SY2230 @ SV627 @ SV467 @ SV232 ) ) )
                            | ~ ( ( ( sK70_SY1056 @ SY2231 @ SY2230 @ SV627 @ SV467 @ SV232 )
                                 != ( sK71_SY1059 @ SY2231 @ SY2230 @ SV627 @ SV467 @ SV232 ) ) ) ) ) )
            | ~ ( ( ( res @ SV232 @ SV467 )
                 != ( res @ ( sK68_SY1055 @ SY2231 @ SY2230 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SY2231 @ SY2230 @ SV627 @ SV467 @ SV232 ) ) )
                | ~ ~ ( ( ( late_BoundR @ SV627 @ SY2230 @ SY2231 )
                       != ( late_BoundR @ ( sK65_SY1046 @ SY2231 @ SY2230 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SY2231 @ SY2230 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SY2231 @ SY2230 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SY2231 @ SY2230 @ SV627 @ SV467 @ SV232 ) ) ) )
                      | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SY2231 @ SY2230 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SY2231 @ SY2230 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SY2231 @ SY2230 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SY2231 @ SY2230 @ SV627 @ SV467 @ SV232 ) ) )
                            | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SY2231 @ SY2230 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SY2231 @ SY2230 @ SV627 @ SV467 @ SV232 ) )
                                  | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SY2231 @ SY2230 @ SV627 @ SV467 @ SV232 )
                                             != ( sK66_SY1050 @ SY2231 @ SY2230 @ SV627 @ SV467 @ SV232 ) ) )
                                        | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SY2231 @ SY2230 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SY2231 @ SY2230 @ SV627 @ SV467 @ SV232 ) )
                                              | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SY2231 @ SY2230 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SY2231 @ SY2230 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1611]) ).

thf(1875,plain,
    ! [SV468: list_P227219501e_name,SV233: $o] :
      ( ( ~ ( ~ SV233
            | ! [SY2020: late_freeRes,SY2021: late_freeRes] :
                ( ( perm_n336613537reeRes @ SV468 @ ( if_Late_freeRes @ SV233 @ SY2020 @ SY2021 ) )
                = ( perm_n336613537reeRes @ SV468 @ SY2020 ) ) )
        | ~ ( SV233
            | ! [SY2022: late_freeRes,SY2023: late_freeRes] :
                ( ( perm_n336613537reeRes @ SV468 @ ( if_Late_freeRes @ SV233 @ SY2022 @ SY2023 ) )
                = ( perm_n336613537reeRes @ SV468 @ SY2023 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1612]) ).

thf(1876,plain,
    ! [SV469: list_P227219501e_name] :
      ( ( ~ ( ~ $true
            | ! [SY2024: late_freeRes,SY2025: late_freeRes] :
                ( ( perm_n336613537reeRes @ SV469 @ ( if_Late_freeRes @ $true @ SY2024 @ SY2025 ) )
                = ( perm_n336613537reeRes @ SV469 @ SY2024 ) ) )
        | ~ ( $true
            | ! [SY2026: late_freeRes,SY2027: late_freeRes] :
                ( ( perm_n336613537reeRes @ SV469 @ ( if_Late_freeRes @ $true @ SY2026 @ SY2027 ) )
                = ( perm_n336613537reeRes @ SV469 @ SY2027 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1613]) ).

thf(1877,plain,
    ! [SV470: list_P227219501e_name] :
      ( ( ~ ( ~ $false
            | ! [SY2028: late_freeRes,SY2029: late_freeRes] :
                ( ( perm_n336613537reeRes @ SV470 @ ( if_Late_freeRes @ $false @ SY2028 @ SY2029 ) )
                = ( perm_n336613537reeRes @ SV470 @ SY2028 ) ) )
        | ~ ( $false
            | ! [SY2030: late_freeRes,SY2031: late_freeRes] :
                ( ( perm_n336613537reeRes @ SV470 @ ( if_Late_freeRes @ $false @ SY2030 @ SY2031 ) )
                = ( perm_n336613537reeRes @ SV470 @ SY2031 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1614]) ).

thf(1878,plain,
    ! [SV628: pi,SV471: late_freeRes,SV234: name] :
      ( ( ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SV628 ) )
        = ( ~ ( ~ ( fresh_1641682979reeRes @ SV234 @ SV471 )
              | ~ ( fresh_name_pi @ SV234 @ SV628 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1615]) ).

thf(1879,plain,
    ! [SV472: list_P227219501e_name,SV235: $o] :
      ( ( ~ ( ~ SV235
            | ! [SY2033: pi,SY2034: pi] :
                ( ( perm_name_pi @ SV472 @ ( if_pi @ SV235 @ SY2033 @ SY2034 ) )
                = ( perm_name_pi @ SV472 @ SY2033 ) ) )
        | ~ ( SV235
            | ! [SY2035: pi,SY2036: pi] :
                ( ( perm_name_pi @ SV472 @ ( if_pi @ SV235 @ SY2035 @ SY2036 ) )
                = ( perm_name_pi @ SV472 @ SY2036 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1616]) ).

thf(1880,plain,
    ! [SV473: list_P227219501e_name] :
      ( ( ~ ( ~ $true
            | ! [SY2037: pi,SY2038: pi] :
                ( ( perm_name_pi @ SV473 @ ( if_pi @ $true @ SY2037 @ SY2038 ) )
                = ( perm_name_pi @ SV473 @ SY2037 ) ) )
        | ~ ( $true
            | ! [SY2039: pi,SY2040: pi] :
                ( ( perm_name_pi @ SV473 @ ( if_pi @ $true @ SY2039 @ SY2040 ) )
                = ( perm_name_pi @ SV473 @ SY2040 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1617]) ).

thf(1881,plain,
    ! [SV474: list_P227219501e_name] :
      ( ( ~ ( ~ $false
            | ! [SY2041: pi,SY2042: pi] :
                ( ( perm_name_pi @ SV474 @ ( if_pi @ $false @ SY2041 @ SY2042 ) )
                = ( perm_name_pi @ SV474 @ SY2041 ) ) )
        | ~ ( $false
            | ! [SY2043: pi,SY2044: pi] :
                ( ( perm_name_pi @ SV474 @ ( if_pi @ $false @ SY2043 @ SY2044 ) )
                = ( perm_name_pi @ SV474 @ SY2044 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1618]) ).

thf(1882,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ~ ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        | ~ ( ( ( res @ SV236 @ SV475 )
             != ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
            | ~ ~ ( ( SV629
                   != ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
                  | ~ ~ ( ~ ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
                        | ~ ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
                             != ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        | ~ ( ( ( res @ SV236 @ SV475 )
             != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
            | ~ ~ ( ( SV629
                   != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                  | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                        | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                              | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                         != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                    | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                          | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
        | ~ ( ( ( res @ SV236 @ SV475 )
             != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
            | ~ ~ ( ( SV629
                   != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                  | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                        | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1619]) ).

thf(1883,plain,
    ! [SV476: $o,SV237: list_P227219501e_name] :
      ( ( ~ ( ~ ( perm_name_o @ SV237 @ SV476 )
            | ! [SY2046: late_freeRes,SY2047: late_freeRes] :
                ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ SV476 @ SY2046 @ SY2047 ) )
                = ( perm_n336613537reeRes @ SV237 @ SY2046 ) ) )
        | ~ ( ( perm_name_o @ SV237 @ SV476 )
            | ! [SY2048: late_freeRes,SY2049: late_freeRes] :
                ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ SV476 @ SY2048 @ SY2049 ) )
                = ( perm_n336613537reeRes @ SV237 @ SY2049 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1620]) ).

thf(1884,plain,
    ! [SV237: list_P227219501e_name] :
      ( ( ~ ( ~ ( perm_name_o @ SV237 @ $true )
            | ! [SX0: late_freeRes,SX1: late_freeRes] :
                ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ $true @ SX0 @ SX1 ) )
                = ( perm_n336613537reeRes @ SV237 @ SX0 ) ) )
        | ~ ( ( perm_name_o @ SV237 @ $true )
            | ! [SX0: late_freeRes,SX1: late_freeRes] :
                ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ $true @ SX0 @ SX1 ) )
                = ( perm_n336613537reeRes @ SV237 @ SX1 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1621]) ).

thf(1885,plain,
    ! [SV237: list_P227219501e_name] :
      ( ( ~ ( ~ ( perm_name_o @ SV237 @ $false )
            | ! [SX0: late_freeRes,SX1: late_freeRes] :
                ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ $false @ SX0 @ SX1 ) )
                = ( perm_n336613537reeRes @ SV237 @ SX0 ) ) )
        | ~ ( ( perm_name_o @ SV237 @ $false )
            | ! [SX0: late_freeRes,SX1: late_freeRes] :
                ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ $false @ SX0 @ SX1 ) )
                = ( perm_n336613537reeRes @ SV237 @ SX1 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1622]) ).

thf(1886,plain,
    ! [SV630: name,SV477: name,SV238: name] :
      ( ( ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SV630 ) )
        = ( ~ ( ~ ( fresh_name_name @ SV238 @ SV477 )
              | ~ ( fresh_name_name @ SV238 @ SV630 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1623]) ).

thf(1887,plain,
    ! [SV478: $o,SV239: list_P227219501e_name] :
      ( ( ~ ( ~ ( perm_name_o @ SV239 @ SV478 )
            | ! [SY2051: pi_Rep,SY2052: pi_Rep] :
                ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ SV478 @ SY2051 @ SY2052 ) )
                = ( perm_name_pi_Rep @ SV239 @ SY2051 ) ) )
        | ~ ( ( perm_name_o @ SV239 @ SV478 )
            | ! [SY2053: pi_Rep,SY2054: pi_Rep] :
                ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ SV478 @ SY2053 @ SY2054 ) )
                = ( perm_name_pi_Rep @ SV239 @ SY2054 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1624]) ).

thf(1888,plain,
    ! [SV239: list_P227219501e_name] :
      ( ( ~ ( ~ ( perm_name_o @ SV239 @ $true )
            | ! [SX0: pi_Rep,SX1: pi_Rep] :
                ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ $true @ SX0 @ SX1 ) )
                = ( perm_name_pi_Rep @ SV239 @ SX0 ) ) )
        | ~ ( ( perm_name_o @ SV239 @ $true )
            | ! [SX0: pi_Rep,SX1: pi_Rep] :
                ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ $true @ SX0 @ SX1 ) )
                = ( perm_name_pi_Rep @ SV239 @ SX1 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1625]) ).

thf(1889,plain,
    ! [SV239: list_P227219501e_name] :
      ( ( ~ ( ~ ( perm_name_o @ SV239 @ $false )
            | ! [SX0: pi_Rep,SX1: pi_Rep] :
                ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ $false @ SX0 @ SX1 ) )
                = ( perm_name_pi_Rep @ SV239 @ SX0 ) ) )
        | ~ ( ( perm_name_o @ SV239 @ $false )
            | ! [SX0: pi_Rep,SX1: pi_Rep] :
                ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ $false @ SX0 @ SX1 ) )
                = ( perm_name_pi_Rep @ SV239 @ SX1 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1626]) ).

thf(1890,plain,
    ! [SV631: produc367475239e_name,SV479: list_P227219501e_name,SV240: produc367475239e_name] :
      ( ( ! [SY2232: list_P227219501e_name] :
            ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
              = ( cons_P1213805021e_name @ SV631 @ SY2232 ) )
            = ( ~ ( ( SV240 != SV631 )
                  | ( SV479 != SY2232 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1627]) ).

thf(1891,plain,
    ! [SV241: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( ~ ( fresh_1376661020_pi_pi @ ( sK49_SY1029 @ SV241 ) @ ( sK51_SY1034 @ SV241 ) )
          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK49_SY1029 @ SV241 ) @ ( sK48_Subject2 @ SV241 ) )
                | ~ ~ ( SV241 @ ( sK51_SY1034 @ SV241 ) @ ( late_BoundR @ ( sK48_Subject2 @ SV241 ) @ ( sK49_SY1029 @ SV241 ) @ ( sK50_SY1032 @ SV241 ) ) ) ) )
        = $false )
      | ( ( ~ ( SV241 @ ( sK47_SY1028 @ SV241 ) @ ( late_FreeR @ ( sK45_FreeRes2 @ SV241 ) @ ( sK46_SY1026 @ SV241 ) ) )
          | ! [SY1639: produc1141751126_pi_pi,SY1640: late_residual] : ( SV241 @ SY1639 @ SY1640 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1628]) ).

thf(1892,plain,
    ! [SV632: pi,SV480: pi,SV242: name] :
      ( ( ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SV632 ) )
        = ( ~ ( ~ ( fresh_name_pi @ SV242 @ SV480 )
              | ~ ( fresh_name_pi @ SV242 @ SV632 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1629]) ).

thf(1893,plain,
    ! [SV633: name,SV481: name,SV243: name] :
      ( ( ! [SY2233: name] :
            ( ( ( late_OutputR @ SV243 @ SV481 )
              = ( late_OutputR @ SV633 @ SY2233 ) )
            = ( ~ ( ( SV243 != SV633 )
                  | ( SV481 != SY2233 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1630]) ).

thf(1894,plain,
    ! [SV244: product_unit > late_residual > $o] :
      ( ( ( ~ ( fresh_1143631827t_unit @ ( sK56_SY1038 @ SV244 ) @ ( sK58_SY1043 @ SV244 ) )
          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK56_SY1038 @ SV244 ) @ ( sK55_Subject2 @ SV244 ) )
                | ~ ~ ( SV244 @ ( sK58_SY1043 @ SV244 ) @ ( late_BoundR @ ( sK55_Subject2 @ SV244 ) @ ( sK56_SY1038 @ SV244 ) @ ( sK57_SY1041 @ SV244 ) ) ) ) )
        = $false )
      | ( ( ~ ( SV244 @ ( sK54_SY1037 @ SV244 ) @ ( late_FreeR @ ( sK52_FreeRes2 @ SV244 ) @ ( sK53_SY1035 @ SV244 ) ) )
          | ! [SY1646: product_unit,SY1647: late_residual] : ( SV244 @ SY1646 @ SY1647 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1631]) ).

thf(1895,plain,
    ! [SV245: name > late_residual > $o] :
      ( ( ( ~ ( fresh_name_name @ ( sK14_SY984 @ SV245 ) @ ( sK16_SY989 @ SV245 ) )
          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK14_SY984 @ SV245 ) @ ( sK13_Subject2 @ SV245 ) )
                | ~ ~ ( SV245 @ ( sK16_SY989 @ SV245 ) @ ( late_BoundR @ ( sK13_Subject2 @ SV245 ) @ ( sK14_SY984 @ SV245 ) @ ( sK15_SY987 @ SV245 ) ) ) ) )
        = $false )
      | ( ( ~ ( SV245 @ ( sK12_SY983 @ SV245 ) @ ( late_FreeR @ ( sK10_FreeRes2 @ SV245 ) @ ( sK11_SY981 @ SV245 ) ) )
          | ! [SY1648: name,SY1649: late_residual] : ( SV245 @ SY1648 @ SY1649 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1632]) ).

thf(1896,plain,
    ! [SV634: list_pi,SV482: pi,SV246: name] :
      ( ( ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SV634 ) )
        = ( ~ ( ~ ( fresh_name_list_pi @ SV246 @ SV634 )
              | ~ ( fresh_name_pi @ SV246 @ SV482 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1633]) ).

thf(1897,plain,
    ! [SV483: list_P227219501e_name,SV247: $o] :
      ( ( ~ ( ~ SV247
            | ! [SY2061: name,SY2062: name] :
                ( ( perm_name_name @ SV483 @ ( if_name @ SV247 @ SY2061 @ SY2062 ) )
                = ( perm_name_name @ SV483 @ SY2061 ) ) )
        | ~ ( SV247
            | ! [SY2063: name,SY2064: name] :
                ( ( perm_name_name @ SV483 @ ( if_name @ SV247 @ SY2063 @ SY2064 ) )
                = ( perm_name_name @ SV483 @ SY2064 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1634]) ).

thf(1898,plain,
    ! [SV484: list_P227219501e_name] :
      ( ( ~ ( ~ $true
            | ! [SY2065: name,SY2066: name] :
                ( ( perm_name_name @ SV484 @ ( if_name @ $true @ SY2065 @ SY2066 ) )
                = ( perm_name_name @ SV484 @ SY2065 ) ) )
        | ~ ( $true
            | ! [SY2067: name,SY2068: name] :
                ( ( perm_name_name @ SV484 @ ( if_name @ $true @ SY2067 @ SY2068 ) )
                = ( perm_name_name @ SV484 @ SY2068 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1635]) ).

thf(1899,plain,
    ! [SV485: list_P227219501e_name] :
      ( ( ~ ( ~ $false
            | ! [SY2069: name,SY2070: name] :
                ( ( perm_name_name @ SV485 @ ( if_name @ $false @ SY2069 @ SY2070 ) )
                = ( perm_name_name @ SV485 @ SY2069 ) ) )
        | ~ ( $false
            | ! [SY2071: name,SY2072: name] :
                ( ( perm_name_name @ SV485 @ ( if_name @ $false @ SY2071 @ SY2072 ) )
                = ( perm_name_name @ SV485 @ SY2072 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1636]) ).

thf(1900,plain,
    ! [SV486: $o,SV248: list_P227219501e_name] :
      ( ( ~ ( ~ ( perm_name_o @ SV248 @ SV486 )
            | ! [SY2073: late_subject,SY2074: late_subject] :
                ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ SV486 @ SY2073 @ SY2074 ) )
                = ( perm_n1559866809ubject @ SV248 @ SY2073 ) ) )
        | ~ ( ( perm_name_o @ SV248 @ SV486 )
            | ! [SY2075: late_subject,SY2076: late_subject] :
                ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ SV486 @ SY2075 @ SY2076 ) )
                = ( perm_n1559866809ubject @ SV248 @ SY2076 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1637]) ).

thf(1901,plain,
    ! [SV248: list_P227219501e_name] :
      ( ( ~ ( ~ ( perm_name_o @ SV248 @ $true )
            | ! [SX0: late_subject,SX1: late_subject] :
                ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ $true @ SX0 @ SX1 ) )
                = ( perm_n1559866809ubject @ SV248 @ SX0 ) ) )
        | ~ ( ( perm_name_o @ SV248 @ $true )
            | ! [SX0: late_subject,SX1: late_subject] :
                ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ $true @ SX0 @ SX1 ) )
                = ( perm_n1559866809ubject @ SV248 @ SX1 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1638]) ).

thf(1902,plain,
    ! [SV248: list_P227219501e_name] :
      ( ( ~ ( ~ ( perm_name_o @ SV248 @ $false )
            | ! [SX0: late_subject,SX1: late_subject] :
                ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ $false @ SX0 @ SX1 ) )
                = ( perm_n1559866809ubject @ SV248 @ SX0 ) ) )
        | ~ ( ( perm_name_o @ SV248 @ $false )
            | ! [SX0: late_subject,SX1: late_subject] :
                ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ $false @ SX0 @ SX1 ) )
                = ( perm_n1559866809ubject @ SV248 @ SX1 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1639]) ).

thf(1903,plain,
    ! [SV487: $o,SV249: list_P227219501e_name] :
      ( ( ~ ( ~ ( perm_name_o @ SV249 @ SV487 )
            | ! [SY2077: pi,SY2078: pi] :
                ( ( perm_name_pi @ SV249 @ ( if_pi @ SV487 @ SY2077 @ SY2078 ) )
                = ( perm_name_pi @ SV249 @ SY2077 ) ) )
        | ~ ( ( perm_name_o @ SV249 @ SV487 )
            | ! [SY2079: pi,SY2080: pi] :
                ( ( perm_name_pi @ SV249 @ ( if_pi @ SV487 @ SY2079 @ SY2080 ) )
                = ( perm_name_pi @ SV249 @ SY2080 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1640]) ).

thf(1904,plain,
    ! [SV249: list_P227219501e_name] :
      ( ( ~ ( ~ ( perm_name_o @ SV249 @ $true )
            | ! [SX0: pi,SX1: pi] :
                ( ( perm_name_pi @ SV249 @ ( if_pi @ $true @ SX0 @ SX1 ) )
                = ( perm_name_pi @ SV249 @ SX0 ) ) )
        | ~ ( ( perm_name_o @ SV249 @ $true )
            | ! [SX0: pi,SX1: pi] :
                ( ( perm_name_pi @ SV249 @ ( if_pi @ $true @ SX0 @ SX1 ) )
                = ( perm_name_pi @ SV249 @ SX1 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1641]) ).

thf(1905,plain,
    ! [SV249: list_P227219501e_name] :
      ( ( ~ ( ~ ( perm_name_o @ SV249 @ $false )
            | ! [SX0: pi,SX1: pi] :
                ( ( perm_name_pi @ SV249 @ ( if_pi @ $false @ SX0 @ SX1 ) )
                = ( perm_name_pi @ SV249 @ SX0 ) ) )
        | ~ ( ( perm_name_o @ SV249 @ $false )
            | ! [SX0: pi,SX1: pi] :
                ( ( perm_name_pi @ SV249 @ ( if_pi @ $false @ SX0 @ SX1 ) )
                = ( perm_name_pi @ SV249 @ SX1 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1642]) ).

thf(1906,plain,
    ! [SV635: pi,SV488: name,SV250: name] :
      ( ( ! [SY2234: late_subject,SY2235: name] :
            ~ ( ~ ! [SY2236: pi] :
                    ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SY2234 @ SY2235 @ SY2236 ) )
                    | ( SY2235 = SV250 )
                    | ( SY2235 = SV488 )
                    | ~ ( fresh_name_pi @ SY2235 @ SV635 )
                    | ( SY2234
                      = ( late_InputS @ SV250 ) )
                    | ! [SX6: late_subject > name > pi > $o] : ( SX6 @ SY2234 @ SY2235 @ SY2236 ) )
              | ~ ~ ( ~ ! [SY2238: pi] :
                          ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SY2234 @ SY2235 @ SY2238 ) )
                          | ( SY2235 = SV250 )
                          | ( SY2235 = SV488 )
                          | ~ ( fresh_name_pi @ SY2235 @ SV635 )
                          | ( SY2238
                            = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SY2235 ) @ nil_Pr743626285e_name ) @ SV635 ) )
                          | ! [SX6: late_subject > name > pi > $o] : ( SX6 @ SY2234 @ SY2235 @ SY2238 ) )
                    | ~ ! [SY2240: pi] :
                          ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SY2234 @ SY2235 @ SY2240 ) )
                          | ( SY2235 = SV250 )
                          | ( SY2235 = SV488 )
                          | ~ ( fresh_name_pi @ SY2235 @ SV635 )
                          | ! [SY2241: late_subject > name > pi > $o] :
                              ( ~ ( SY2241 @ ( late_InputS @ SV250 ) @ SY2235 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SY2235 ) @ nil_Pr743626285e_name ) @ SV635 ) )
                              | ( SY2241 @ SY2234 @ SY2235 @ SY2240 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1643]) ).

thf(1907,plain,
    ! [SV636: name,SV489: name,SV251: name] :
      ( ( ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SV636 ) )
        = ( ~ ( ~ ( fresh_name_name @ SV251 @ SV489 )
              | ~ ( fresh_name_name @ SV251 @ SV636 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1644]) ).

thf(1908,plain,
    ! [SV637: late_freeRes,SV490: pi,SV252: name] :
      ( ( ! [SY2242: pi] :
            ( ~ ( late_transitions @ ( res @ SV252 @ SV490 ) @ ( late_FreeR @ SV637 @ SY2242 ) )
            | ! [SY2243: pi > $o] :
                ( ~ ( ~ ( late_transitions @ SV490 @ ( late_FreeR @ SV637 @ ( sK117_P4 @ SY2243 @ SY2242 @ SV637 @ SV490 @ SV252 ) ) )
                    | ~ ~ ( ~ ( fresh_1641682979reeRes @ SV252 @ SV637 )
                          | ~ ~ ( SY2243 @ ( res @ SV252 @ ( sK117_P4 @ SY2243 @ SY2242 @ SV637 @ SV490 @ SV252 ) ) ) ) )
                | ( SY2243 @ SY2242 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1645]) ).

thf(1909,plain,
    ! [SV638: late_subject,SV491: pi,SV253: name] :
      ( ( ! [SY2244: name,SY2245: pi] :
            ( ~ ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SY2244 @ SY2245 ) )
            | ( SY2244 = SV253 )
            | ~ ( fresh_name_pi @ SY2244 @ SV491 )
            | ! [SY2246: late_subject > pi > $o] :
                ( ~ ( ~ ( late_transitions @ SV491 @ ( late_FreeR @ ( late_OutputR @ ( sK60_B2 @ SY2246 @ SY2245 @ SY2244 @ SV638 @ SV491 @ SV253 ) @ SV253 ) @ ( sK61_SY1044 @ SY2246 @ SY2245 @ SY2244 @ SV638 @ SV491 @ SV253 ) ) )
                    | ~ ~ ( ~ ( ( ( sK60_B2 @ SY2246 @ SY2245 @ SY2244 @ SV638 @ SV491 @ SV253 )
                               != SV253 ) )
                          | ~ ~ ( ( SV638
                                 != ( late_BoundOutputS @ ( sK60_B2 @ SY2246 @ SY2245 @ SY2244 @ SV638 @ SV491 @ SV253 ) ) )
                                | ~ ~ ( SY2246 @ ( late_BoundOutputS @ ( sK60_B2 @ SY2246 @ SY2245 @ SY2244 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY2244 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SY2246 @ SY2245 @ SY2244 @ SV638 @ SV491 @ SV253 ) ) ) ) ) )
                | ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SY2244 @ ( sK59_P4 @ SY2246 @ SY2245 @ SY2244 @ SV638 @ SV491 @ SV253 ) ) )
                    | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                          | ~ ~ ( SY2246 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SY2246 @ SY2245 @ SY2244 @ SV638 @ SV491 @ SV253 ) ) ) ) )
                | ( SY2246 @ SV638 @ SY2245 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1646]) ).

thf(1910,plain,
    ! [SV492: list_P227219501e_name,SV254: $o] :
      ( ( ~ ( ~ SV254
            | ! [SY2098: late_subject,SY2099: late_subject] :
                ( ( perm_n1559866809ubject @ SV492 @ ( if_Late_subject @ SV254 @ SY2098 @ SY2099 ) )
                = ( perm_n1559866809ubject @ SV492 @ SY2098 ) ) )
        | ~ ( SV254
            | ! [SY2100: late_subject,SY2101: late_subject] :
                ( ( perm_n1559866809ubject @ SV492 @ ( if_Late_subject @ SV254 @ SY2100 @ SY2101 ) )
                = ( perm_n1559866809ubject @ SV492 @ SY2101 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1647]) ).

thf(1911,plain,
    ! [SV493: list_P227219501e_name] :
      ( ( ~ ( ~ $true
            | ! [SY2102: late_subject,SY2103: late_subject] :
                ( ( perm_n1559866809ubject @ SV493 @ ( if_Late_subject @ $true @ SY2102 @ SY2103 ) )
                = ( perm_n1559866809ubject @ SV493 @ SY2102 ) ) )
        | ~ ( $true
            | ! [SY2104: late_subject,SY2105: late_subject] :
                ( ( perm_n1559866809ubject @ SV493 @ ( if_Late_subject @ $true @ SY2104 @ SY2105 ) )
                = ( perm_n1559866809ubject @ SV493 @ SY2105 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1648]) ).

thf(1912,plain,
    ! [SV494: list_P227219501e_name] :
      ( ( ~ ( ~ $false
            | ! [SY2106: late_subject,SY2107: late_subject] :
                ( ( perm_n1559866809ubject @ SV494 @ ( if_Late_subject @ $false @ SY2106 @ SY2107 ) )
                = ( perm_n1559866809ubject @ SV494 @ SY2106 ) ) )
        | ~ ( $false
            | ! [SY2108: late_subject,SY2109: late_subject] :
                ( ( perm_n1559866809ubject @ SV494 @ ( if_Late_subject @ $false @ SY2108 @ SY2109 ) )
                = ( perm_n1559866809ubject @ SV494 @ SY2109 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1649]) ).

thf(1913,plain,
    ! [SV639: pi,SV495: pi,SV255: pi] :
      ( ( ! [SY2247: pi] :
            ( ( ( par @ SV255 @ SV495 )
              = ( par @ SV639 @ SY2247 ) )
            = ( ~ ( ( SV255 != SV639 )
                  | ( SV495 != SY2247 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1650]) ).

thf(1914,plain,
    ! [SV640: pi,SV496: set_Pr1834926343_pi_pi,SV256: pi] :
      ( ( ! [SY2248: late_subject] :
            ( ~ ( strong743114133lation @ SV256 @ SV496 @ SV640 )
            | ! [SY2249: name,SY2250: pi] :
                ( ~ ( late_transitions @ SV640 @ ( late_BoundR @ SY2248 @ SY2249 @ SY2250 ) )
                | ~ ( fresh_name_pi @ SY2249 @ SV256 )
                | ~ ( ~ ( late_transitions @ SV256 @ ( late_BoundR @ SY2248 @ SY2249 @ ( sK92_P4 @ SY2250 @ SY2249 @ SY2248 @ SV640 @ SV496 @ SV256 ) ) )
                    | ~ ( strong2129052853vative @ ( sK92_P4 @ SY2250 @ SY2249 @ SY2248 @ SV640 @ SV496 @ SV256 ) @ SY2250 @ SY2248 @ SY2249 @ SV496 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1651]) ).

thf(1915,plain,
    ! [SV641: late_freeRes,SV497: pi,SV257: late_freeRes] :
      ( ( ! [SY2251: pi] :
            ( ( ( late_FreeR @ SV257 @ SV497 )
              = ( late_FreeR @ SV641 @ SY2251 ) )
            = ( ~ ( ( SV257 != SV641 )
                  | ( SV497 != SY2251 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1652]) ).

thf(1916,plain,
    ! [SV642: late_freeRes,SV498: pi,SV258: name] :
      ( ( ! [SY2252: pi] :
            ( ~ ( late_transitions @ ( res @ SV258 @ SV498 ) @ ( late_FreeR @ SV642 @ SY2252 ) )
            | ~ ( ( ( res @ SV258 @ SV498 )
                 != ( res @ ( sK116_SY1113 @ SY2252 @ SV642 @ SV498 @ SV258 ) @ ( sK113_P5 @ SY2252 @ SV642 @ SV498 @ SV258 ) ) )
                | ~ ~ ( ( ( late_FreeR @ SV642 @ SY2252 )
                       != ( late_FreeR @ ( sK114_SY1108 @ SY2252 @ SV642 @ SV498 @ SV258 ) @ ( res @ ( sK116_SY1113 @ SY2252 @ SV642 @ SV498 @ SV258 ) @ ( sK115_SY1111 @ SY2252 @ SV642 @ SV498 @ SV258 ) ) ) )
                      | ~ ~ ( ~ ( late_transitions @ ( sK113_P5 @ SY2252 @ SV642 @ SV498 @ SV258 ) @ ( late_FreeR @ ( sK114_SY1108 @ SY2252 @ SV642 @ SV498 @ SV258 ) @ ( sK115_SY1111 @ SY2252 @ SV642 @ SV498 @ SV258 ) ) )
                            | ~ ( fresh_1641682979reeRes @ ( sK116_SY1113 @ SY2252 @ SV642 @ SV498 @ SV258 ) @ ( sK114_SY1108 @ SY2252 @ SV642 @ SV498 @ SV258 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1653]) ).

thf(1917,plain,
    ! [SV259: product_unit > late_residual > $o] :
      ( ( ( ~ ( fresh_1143631827t_unit @ ( sK28_SY1002 @ SV259 ) @ ( sK30_SY1007 @ SV259 ) )
          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK28_SY1002 @ SV259 ) @ ( sK27_Subject2 @ SV259 ) )
                | ~ ~ ( SV259 @ ( sK30_SY1007 @ SV259 ) @ ( late_BoundR @ ( sK27_Subject2 @ SV259 ) @ ( sK28_SY1002 @ SV259 ) @ ( sK29_SY1005 @ SV259 ) ) ) ) )
        = $false )
      | ( ( ~ ( SV259 @ ( sK26_SY1001 @ SV259 ) @ ( late_FreeR @ ( sK24_FreeRes2 @ SV259 ) @ ( sK25_SY999 @ SV259 ) ) )
          | ! [SY1707: product_unit,SY1708: late_residual] : ( SV259 @ SY1707 @ SY1708 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1654]) ).

thf(1918,plain,
    ! [SV260: pi > late_residual > $o] :
      ( ( ( ~ ( fresh_name_pi @ ( sK7_SY975 @ SV260 ) @ ( sK9_SY980 @ SV260 ) )
          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK7_SY975 @ SV260 ) @ ( sK6_Subject2 @ SV260 ) )
                | ~ ~ ( SV260 @ ( sK9_SY980 @ SV260 ) @ ( late_BoundR @ ( sK6_Subject2 @ SV260 ) @ ( sK7_SY975 @ SV260 ) @ ( sK8_SY978 @ SV260 ) ) ) ) )
        = $false )
      | ( ( ~ ( SV260 @ ( sK5_SY974 @ SV260 ) @ ( late_FreeR @ ( sK3_FreeRes2 @ SV260 ) @ ( sK4_SY972 @ SV260 ) ) )
          | ! [SY1709: pi,SY1710: late_residual] : ( SV260 @ SY1709 @ SY1710 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1655]) ).

thf(1919,plain,
    ! [SV261: name] :
      ( ( ~ ! [SY1711: name] :
              ( ( SV261 != SY1711 )
              | ! [SY1712: name] :
                  ( ( swap_name2 @ ( produc1570949143e_name @ SV261 @ SY1712 ) @ SY1711 )
                  = SY1712 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1656]) ).

thf(1920,plain,
    ! [SV261: name] :
      ( ( ~ ~ ( ~ ! [SY1713: name] :
                    ( ( SV261 = SY1713 )
                    | ! [SY1714: name] :
                        ( ( SY1714 != SY1713 )
                        | ( ( swap_name2 @ ( produc1570949143e_name @ SV261 @ SY1714 ) @ SY1713 )
                          = SV261 ) ) )
              | ~ ! [SY1715: name] :
                    ( ( SV261 = SY1715 )
                    | ! [SY1716: name] :
                        ( ( SY1716 = SY1715 )
                        | ( ( swap_name2 @ ( produc1570949143e_name @ SV261 @ SY1716 ) @ SY1715 )
                          = SY1715 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1656]) ).

thf(1921,plain,
    ! [SV499: $o,SV262: list_P227219501e_name] :
      ( ( ~ ( ~ ( perm_name_o @ SV262 @ SV499 )
            | ! [SY2120: name,SY2121: name] :
                ( ( perm_name_name @ SV262 @ ( if_name @ SV499 @ SY2120 @ SY2121 ) )
                = ( perm_name_name @ SV262 @ SY2120 ) ) )
        | ~ ( ( perm_name_o @ SV262 @ SV499 )
            | ! [SY2122: name,SY2123: name] :
                ( ( perm_name_name @ SV262 @ ( if_name @ SV499 @ SY2122 @ SY2123 ) )
                = ( perm_name_name @ SV262 @ SY2123 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1657]) ).

thf(1922,plain,
    ! [SV262: list_P227219501e_name] :
      ( ( ~ ( ~ ( perm_name_o @ SV262 @ $true )
            | ! [SX0: name,SX1: name] :
                ( ( perm_name_name @ SV262 @ ( if_name @ $true @ SX0 @ SX1 ) )
                = ( perm_name_name @ SV262 @ SX0 ) ) )
        | ~ ( ( perm_name_o @ SV262 @ $true )
            | ! [SX0: name,SX1: name] :
                ( ( perm_name_name @ SV262 @ ( if_name @ $true @ SX0 @ SX1 ) )
                = ( perm_name_name @ SV262 @ SX1 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1658]) ).

thf(1923,plain,
    ! [SV262: list_P227219501e_name] :
      ( ( ~ ( ~ ( perm_name_o @ SV262 @ $false )
            | ! [SX0: name,SX1: name] :
                ( ( perm_name_name @ SV262 @ ( if_name @ $false @ SX0 @ SX1 ) )
                = ( perm_name_name @ SV262 @ SX0 ) ) )
        | ~ ( ( perm_name_o @ SV262 @ $false )
            | ! [SX0: name,SX1: name] :
                ( ( perm_name_name @ SV262 @ ( if_name @ $false @ SX0 @ SX1 ) )
                = ( perm_name_name @ SV262 @ SX1 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1659]) ).

thf(1924,plain,
    ! [SV500: list_P227219501e_name,SV263: $o] :
      ( ( ~ ( ~ SV263
            | ! [SY2124: pi_Rep,SY2125: pi_Rep] :
                ( ( perm_name_pi_Rep @ SV500 @ ( if_pi_Rep @ SV263 @ SY2124 @ SY2125 ) )
                = ( perm_name_pi_Rep @ SV500 @ SY2124 ) ) )
        | ~ ( SV263
            | ! [SY2126: pi_Rep,SY2127: pi_Rep] :
                ( ( perm_name_pi_Rep @ SV500 @ ( if_pi_Rep @ SV263 @ SY2126 @ SY2127 ) )
                = ( perm_name_pi_Rep @ SV500 @ SY2127 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1660]) ).

thf(1925,plain,
    ! [SV501: list_P227219501e_name] :
      ( ( ~ ( ~ $true
            | ! [SY2128: pi_Rep,SY2129: pi_Rep] :
                ( ( perm_name_pi_Rep @ SV501 @ ( if_pi_Rep @ $true @ SY2128 @ SY2129 ) )
                = ( perm_name_pi_Rep @ SV501 @ SY2128 ) ) )
        | ~ ( $true
            | ! [SY2130: pi_Rep,SY2131: pi_Rep] :
                ( ( perm_name_pi_Rep @ SV501 @ ( if_pi_Rep @ $true @ SY2130 @ SY2131 ) )
                = ( perm_name_pi_Rep @ SV501 @ SY2131 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1661]) ).

thf(1926,plain,
    ! [SV502: list_P227219501e_name] :
      ( ( ~ ( ~ $false
            | ! [SY2132: pi_Rep,SY2133: pi_Rep] :
                ( ( perm_name_pi_Rep @ SV502 @ ( if_pi_Rep @ $false @ SY2132 @ SY2133 ) )
                = ( perm_name_pi_Rep @ SV502 @ SY2132 ) ) )
        | ~ ( $false
            | ! [SY2134: pi_Rep,SY2135: pi_Rep] :
                ( ( perm_name_pi_Rep @ SV502 @ ( if_pi_Rep @ $false @ SY2134 @ SY2135 ) )
                = ( perm_name_pi_Rep @ SV502 @ SY2135 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1662]) ).

thf(1927,plain,
    ! [SV643: name,SV503: name,SV264: name] :
      ( ( ! [SY2253: name] :
            ( ( ( late_OutputR @ SV264 @ SV503 )
              = ( late_OutputR @ SV643 @ SY2253 ) )
            = ( ~ ( ( SV264 != SV643 )
                  | ( SV503 != SY2253 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1663]) ).

thf(1928,plain,
    ! [SV265: name > late_residual > $o] :
      ( ( ( ~ ( fresh_name_name @ ( sK42_SY1020 @ SV265 ) @ ( sK44_SY1025 @ SV265 ) )
          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK42_SY1020 @ SV265 ) @ ( sK41_Subject2 @ SV265 ) )
                | ~ ~ ( SV265 @ ( sK44_SY1025 @ SV265 ) @ ( late_BoundR @ ( sK41_Subject2 @ SV265 ) @ ( sK42_SY1020 @ SV265 ) @ ( sK43_SY1023 @ SV265 ) ) ) ) )
        = $false )
      | ( ( ~ ( SV265 @ ( sK40_SY1019 @ SV265 ) @ ( late_FreeR @ ( sK38_FreeRes2 @ SV265 ) @ ( sK39_SY1017 @ SV265 ) ) )
          | ! [SY1730: name,SY1731: late_residual] : ( SV265 @ SY1730 @ SY1731 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1664]) ).

thf(1929,plain,
    ! [SV644: name,SV521: name,SV288: pi,SV23: pi] :
      ( ( ( subs @ ( par @ SV23 @ SV288 ) @ SV521 @ SV644 )
        = ( par @ ( subs @ SV23 @ SV521 @ SV644 ) @ ( subs @ SV288 @ SV521 @ SV644 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1682]) ).

thf(1930,plain,
    ! [SV289: name,SV645: name,SV24: name] :
      ( ( ( ( SV24 = SV645 )
          | ! [SY2254: pi] :
              ( ( subs @ ( res @ SV24 @ SY2254 ) @ SV289 @ SV645 )
              = ( res @ SV24 @ ( subs @ SY2254 @ SV289 @ SV645 ) ) ) )
        = $true )
      | ( ( SV24 = SV289 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1683]) ).

thf(1931,plain,
    ! [SV292: late_subject,SV33: name] :
      ( ( ( fresh_717452603ubject @ SV33 @ SV292 )
        = $false )
      | ( ( ! [SY1754: name] :
              ( ~ ( fresh_717452603ubject @ SY1754 @ SV292 )
              | ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV33 @ SY1754 ) @ nil_Pr743626285e_name ) @ SV292 )
                = SV292 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1685]) ).

thf(1932,plain,
    ! [SV293: late_freeRes,SV34: name] :
      ( ( ( fresh_1641682979reeRes @ SV34 @ SV293 )
        = $false )
      | ( ( ! [SY1755: name] :
              ( ~ ( fresh_1641682979reeRes @ SY1755 @ SV293 )
              | ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV34 @ SY1755 ) @ nil_Pr743626285e_name ) @ SV293 )
                = SV293 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1686]) ).

thf(1933,plain,
    ! [SV294: pi_Rep,SV35: name] :
      ( ( ( fresh_name_pi_Rep @ SV35 @ SV294 )
        = $false )
      | ( ( ! [SY1756: name] :
              ( ~ ( fresh_name_pi_Rep @ SY1756 @ SV294 )
              | ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV35 @ SY1756 ) @ nil_Pr743626285e_name ) @ SV294 )
                = SV294 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1687]) ).

thf(1934,plain,
    ! [SV295: product_unit,SV36: name] :
      ( ( ( fresh_1143631827t_unit @ SV36 @ SV295 )
        = $false )
      | ( ( ! [SY1757: name] :
              ( ~ ( fresh_1143631827t_unit @ SY1757 @ SV295 )
              | ( ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV36 @ SY1757 ) @ nil_Pr743626285e_name ) @ SV295 )
                = SV295 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1688]) ).

thf(1935,plain,
    ! [SV296: produc1141751126_pi_pi,SV37: name] :
      ( ( ( fresh_1376661020_pi_pi @ SV37 @ SV296 )
        = $false )
      | ( ( ! [SY1758: name] :
              ( ~ ( fresh_1376661020_pi_pi @ SY1758 @ SV296 )
              | ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV37 @ SY1758 ) @ nil_Pr743626285e_name ) @ SV296 )
                = SV296 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1689]) ).

thf(1936,plain,
    ! [SV297: name,SV38: name] :
      ( ( ( fresh_name_name @ SV38 @ SV297 )
        = $false )
      | ( ( ! [SY1759: name] :
              ( ~ ( fresh_name_name @ SY1759 @ SV297 )
              | ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV38 @ SY1759 ) @ nil_Pr743626285e_name ) @ SV297 )
                = SV297 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1690]) ).

thf(1937,plain,
    ! [SV298: pi,SV39: name] :
      ( ( ( fresh_name_pi @ SV39 @ SV298 )
        = $false )
      | ( ( ! [SY1760: name] :
              ( ~ ( fresh_name_pi @ SY1760 @ SV298 )
              | ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV39 @ SY1760 ) @ nil_Pr743626285e_name ) @ SV298 )
                = SV298 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1691]) ).

thf(1938,plain,
    ! [SV299: name > noption_pi,SV40: name] :
      ( ( ( fresh_543891186ion_pi @ SV40 @ SV299 )
        = $false )
      | ( ( ! [SY1761: name] :
              ( ~ ( fresh_543891186ion_pi @ SY1761 @ SV299 )
              | ( ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV40 @ SY1761 ) @ nil_Pr743626285e_name ) @ SV299 )
                = SV299 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1692]) ).

thf(1939,plain,
    ! [SV300: late_subject,SV41: name] :
      ( ( ( fresh_717452603ubject @ SV41 @ SV300 )
        = $false )
      | ( ( ! [SY1762: name] :
              ( ~ ( fresh_717452603ubject @ SY1762 @ SV300 )
              | ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV41 @ SY1762 ) @ nil_Pr743626285e_name ) @ SV300 )
                = SV300 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1693]) ).

thf(1940,plain,
    ! [SV301: late_freeRes,SV42: name] :
      ( ( ( fresh_1641682979reeRes @ SV42 @ SV301 )
        = $false )
      | ( ( ! [SY1763: name] :
              ( ~ ( fresh_1641682979reeRes @ SY1763 @ SV301 )
              | ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV42 @ SY1763 ) @ nil_Pr743626285e_name ) @ SV301 )
                = SV301 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1694]) ).

thf(1941,plain,
    ! [SV302: pi_Rep,SV43: name] :
      ( ( ( fresh_name_pi_Rep @ SV43 @ SV302 )
        = $false )
      | ( ( ! [SY1764: name] :
              ( ~ ( fresh_name_pi_Rep @ SY1764 @ SV302 )
              | ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV43 @ SY1764 ) @ nil_Pr743626285e_name ) @ SV302 )
                = SV302 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1695]) ).

thf(1942,plain,
    ! [SV303: product_unit,SV44: name] :
      ( ( ( fresh_1143631827t_unit @ SV44 @ SV303 )
        = $false )
      | ( ( ! [SY1765: name] :
              ( ~ ( fresh_1143631827t_unit @ SY1765 @ SV303 )
              | ( ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV44 @ SY1765 ) @ nil_Pr743626285e_name ) @ SV303 )
                = SV303 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1696]) ).

thf(1943,plain,
    ! [SV304: produc1141751126_pi_pi,SV45: name] :
      ( ( ( fresh_1376661020_pi_pi @ SV45 @ SV304 )
        = $false )
      | ( ( ! [SY1766: name] :
              ( ~ ( fresh_1376661020_pi_pi @ SY1766 @ SV304 )
              | ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV45 @ SY1766 ) @ nil_Pr743626285e_name ) @ SV304 )
                = SV304 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1697]) ).

thf(1944,plain,
    ! [SV305: name,SV46: name] :
      ( ( ( fresh_name_name @ SV46 @ SV305 )
        = $false )
      | ( ( ! [SY1767: name] :
              ( ~ ( fresh_name_name @ SY1767 @ SV305 )
              | ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV46 @ SY1767 ) @ nil_Pr743626285e_name ) @ SV305 )
                = SV305 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1698]) ).

thf(1945,plain,
    ! [SV306: pi,SV47: name] :
      ( ( ( fresh_name_pi @ SV47 @ SV306 )
        = $false )
      | ( ( ! [SY1768: name] :
              ( ~ ( fresh_name_pi @ SY1768 @ SV306 )
              | ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV47 @ SY1768 ) @ nil_Pr743626285e_name ) @ SV306 )
                = SV306 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1699]) ).

thf(1946,plain,
    ! [SV307: name > noption_pi,SV48: name] :
      ( ( ( fresh_543891186ion_pi @ SV48 @ SV307 )
        = $false )
      | ( ( ! [SY1769: name] :
              ( ~ ( fresh_543891186ion_pi @ SY1769 @ SV307 )
              | ( ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV48 @ SY1769 ) @ nil_Pr743626285e_name ) @ SV307 )
                = SV307 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1700]) ).

thf(1947,plain,
    ! [SV308: list_P227219501e_name,SV49: name] :
      ( ( ( fresh_922791155e_name @ SV49 @ SV308 )
        = $false )
      | ( ( ! [SY1770: pi] :
              ( ~ ( fresh_name_pi @ SV49 @ SY1770 )
              | ( fresh_name_pi @ SV49 @ ( perm_name_pi @ SV308 @ SY1770 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1701]) ).

thf(1948,plain,
    ! [SV523: pi,SV309: name,SV50: list_P227219501e_name] :
      ( ( ~ ( ( fresh_name_pi @ ( perm_name_name @ SV50 @ SV309 ) @ ( perm_name_pi @ SV50 @ SV523 ) )
            | ( fresh_name_pi @ SV309 @ SV523 ) )
        | ~ ( ~ ( fresh_name_pi @ ( perm_name_name @ SV50 @ SV309 ) @ ( perm_name_pi @ SV50 @ SV523 ) )
            | ~ ( fresh_name_pi @ SV309 @ SV523 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1702]) ).

thf(1949,plain,
    ! [SV523: pi,SV309: name,SV50: list_P227219501e_name] :
      ( ( ( fresh_name_pi @ ( perm_name_name @ SV50 @ SV309 ) @ ( perm_name_pi @ SV50 @ SV523 ) )
        = ( fresh_name_pi @ SV309 @ SV523 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1702]) ).

thf(1950,plain,
    ! [SV311: name,SV646: pi,SV52: name] :
      ( ( ( fresh_name_pi @ SV52 @ ( subs @ SV646 @ SV52 @ SV311 ) )
        = $true )
      | ( ( SV52 = SV311 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1703]) ).

thf(1951,plain,
    ! [SV312: pi,SV53: name] :
      ( ( ( fresh_name_pi @ SV53 @ SV312 )
        = $false )
      | ( ( ! [SY1773: name] :
              ( ( SV53 = SY1773 )
              | ! [SY1774: name] : ( fresh_name_pi @ SV53 @ ( subs @ SV312 @ SY1774 @ SY1773 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1704]) ).

thf(1952,plain,
    ! [SV313: pi,SV54: name] :
      ( ( ( fresh_name_pi @ SV54 @ SV313 )
        = $false )
      | ( ( ! [SY1775: name] :
              ( ( subs @ SV313 @ SV54 @ SY1775 )
              = SV313 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1705]) ).

thf(1953,plain,
    ! [SV314: pi,SV56: name] :
      ( ( ( fresh_name_pi @ SV56 @ SV314 )
        = $false )
      | ( ( ! [SY1776: name] :
              ( ( subs @ ( res @ SY1776 @ SV314 ) @ SY1776 @ SV56 )
              = ( res @ SV56 @ ( subs @ SV314 @ SY1776 @ SV56 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1706]) ).

thf(1954,plain,
    ! [SV315: pi,SV57: name] :
      ( ( ( fresh_name_pi @ SV57 @ SV315 )
        = $false )
      | ( ( ! [SY1777: name] :
              ( ( res @ SY1777 @ SV315 )
              = ( res @ SV57 @ ( subs @ SV315 @ SY1777 @ SV57 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1707]) ).

thf(1955,plain,
    ! [SV647: name,SV524: name,SV316: pi,SV58: list_P227219501e_name] :
      ( ( ( perm_name_pi @ SV58 @ ( subs @ SV316 @ SV524 @ SV647 ) )
        = ( subs @ ( perm_name_pi @ SV58 @ SV316 ) @ ( perm_name_name @ SV58 @ SV524 ) @ ( perm_name_name @ SV58 @ SV647 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1708]) ).

thf(1956,plain,
    ! [SV61: name,SV319: name,SV648: name] :
      ( ( ( ( SV648 = SV319 )
          | ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV61 @ SV648 ) @ nil_Pr743626285e_name ) @ SV319 )
            = SV319 ) )
        = $true )
      | ( ( SV61 = SV319 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1709]) ).

thf(1957,plain,
    ! [SV62: name,SV649: late_subject,SV320: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV320 @ SV649 )
          | ~ ( fresh_717452603ubject @ SV62 @ SV649 )
          | ! [SY2255: name] : ( fresh_717452603ubject @ SV62 @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV320 @ SY2255 ) @ nil_Pr743626285e_name ) @ SV649 ) ) )
        = $true )
      | ( ( SV62 = SV320 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1710]) ).

thf(1958,plain,
    ! [SV63: name,SV650: late_freeRes,SV321: name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ SV321 @ SV650 )
          | ~ ( fresh_1641682979reeRes @ SV63 @ SV650 )
          | ! [SY2256: name] : ( fresh_1641682979reeRes @ SV63 @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV321 @ SY2256 ) @ nil_Pr743626285e_name ) @ SV650 ) ) )
        = $true )
      | ( ( SV63 = SV321 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1711]) ).

thf(1959,plain,
    ! [SV64: name,SV651: pi_Rep,SV322: name] :
      ( ( ( ~ ( fresh_name_pi_Rep @ SV322 @ SV651 )
          | ~ ( fresh_name_pi_Rep @ SV64 @ SV651 )
          | ! [SY2257: name] : ( fresh_name_pi_Rep @ SV64 @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV322 @ SY2257 ) @ nil_Pr743626285e_name ) @ SV651 ) ) )
        = $true )
      | ( ( SV64 = SV322 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1712]) ).

thf(1960,plain,
    ! [SV65: name,SV652: product_unit,SV323: name] :
      ( ( ( ~ ( fresh_1143631827t_unit @ SV323 @ SV652 )
          | ~ ( fresh_1143631827t_unit @ SV65 @ SV652 )
          | ! [SY2258: name] : ( fresh_1143631827t_unit @ SV65 @ ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV323 @ SY2258 ) @ nil_Pr743626285e_name ) @ SV652 ) ) )
        = $true )
      | ( ( SV65 = SV323 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1713]) ).

thf(1961,plain,
    ! [SV66: name,SV653: produc1141751126_pi_pi,SV324: name] :
      ( ( ( ~ ( fresh_1376661020_pi_pi @ SV324 @ SV653 )
          | ~ ( fresh_1376661020_pi_pi @ SV66 @ SV653 )
          | ! [SY2259: name] : ( fresh_1376661020_pi_pi @ SV66 @ ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV324 @ SY2259 ) @ nil_Pr743626285e_name ) @ SV653 ) ) )
        = $true )
      | ( ( SV66 = SV324 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1714]) ).

thf(1962,plain,
    ! [SV67: name,SV654: name,SV325: name] :
      ( ( ( ~ ( fresh_name_name @ SV325 @ SV654 )
          | ~ ( fresh_name_name @ SV67 @ SV654 )
          | ! [SY2260: name] : ( fresh_name_name @ SV67 @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV325 @ SY2260 ) @ nil_Pr743626285e_name ) @ SV654 ) ) )
        = $true )
      | ( ( SV67 = SV325 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1715]) ).

thf(1963,plain,
    ! [SV68: name,SV655: pi,SV326: name] :
      ( ( ( ~ ( fresh_name_pi @ SV326 @ SV655 )
          | ~ ( fresh_name_pi @ SV68 @ SV655 )
          | ! [SY2261: name] : ( fresh_name_pi @ SV68 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV326 @ SY2261 ) @ nil_Pr743626285e_name ) @ SV655 ) ) )
        = $true )
      | ( ( SV68 = SV326 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1716]) ).

thf(1964,plain,
    ! [SV69: name,SV656: name > noption_pi,SV327: name] :
      ( ( ( ~ ( fresh_543891186ion_pi @ SV327 @ SV656 )
          | ~ ( fresh_543891186ion_pi @ SV69 @ SV656 )
          | ! [SY2262: name] : ( fresh_543891186ion_pi @ SV69 @ ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV327 @ SY2262 ) @ nil_Pr743626285e_name ) @ SV656 ) ) )
        = $true )
      | ( ( SV69 = SV327 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1717]) ).

thf(1965,plain,
    ! [SV528: pi,SV331: pi,SV73: list_P227219501e_name] :
      ( ( ~ ( ( ( perm_name_pi @ SV73 @ SV331 )
              = ( perm_name_pi @ SV73 @ SV528 ) )
            | ( SV331 = SV528 ) )
        | ~ ( ( ( perm_name_pi @ SV73 @ SV331 )
             != ( perm_name_pi @ SV73 @ SV528 ) )
            | ( SV331 != SV528 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1721]) ).

thf(1966,plain,
    ! [SV528: pi,SV331: pi,SV73: list_P227219501e_name] :
      ( ( ( ( perm_name_pi @ SV73 @ SV331 )
          = ( perm_name_pi @ SV73 @ SV528 ) )
        = ( SV331 = SV528 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1721]) ).

thf(1967,plain,
    ! [SV531: pi,SV334: pi,SV76: list_P227219501e_name] :
      ( ( ~ ( ( perm_name_o @ SV76 @ ( SV334 = SV531 ) )
            | ( ( perm_name_pi @ SV76 @ SV334 )
              = ( perm_name_pi @ SV76 @ SV531 ) ) )
        | ~ ( ~ ( perm_name_o @ SV76 @ ( SV334 = SV531 ) )
            | ( ( perm_name_pi @ SV76 @ SV334 )
             != ( perm_name_pi @ SV76 @ SV531 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1724]) ).

thf(1968,plain,
    ! [SV531: pi,SV334: pi,SV76: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV76 @ ( SV334 = SV531 ) )
        = ( ( perm_name_pi @ SV76 @ SV334 )
          = ( perm_name_pi @ SV76 @ SV531 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1724]) ).

thf(1969,plain,
    ! [SV335: pi,SV77: name] :
      ( ( ( fresh_name_pi @ SV77 @ SV335 )
        = $false )
      | ( ( ! [SY1804: name] :
              ( ( res @ SY1804 @ SV335 )
              = ( res @ SV77 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1804 @ SV77 ) @ nil_Pr743626285e_name ) @ SV335 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1725]) ).

thf(1970,plain,
    ! [SV336: pi,SV78: name] :
      ( ( ( fresh_name_pi @ SV78 @ SV336 )
        = $false )
      | ( ( ! [SY1805: name] :
              ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1805 @ SV78 ) @ nil_Pr743626285e_name ) @ SV336 )
              = ( subs @ SV336 @ SY1805 @ SV78 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1726]) ).

thf(1971,plain,
    ! [SV337: pi,SV79: name] :
      ( ( ( fresh_name_pi @ SV79 @ SV337 )
        = $false )
      | ( ( ! [SY1806: name,SY1807: name] :
              ( ( subs @ SV337 @ SY1806 @ SY1807 )
              = ( subs @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV79 @ SY1806 ) @ nil_Pr743626285e_name ) @ SV337 ) @ SV79 @ SY1807 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1727]) ).

thf(1972,plain,
    ! [SV657: pi,SV532: name,SV338: pi,SV80: pi] :
      ( ( ( par @ SV80 @ SV338 )
       != ( res @ SV532 @ SV657 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1728]) ).

thf(1973,plain,
    ! [SV344: pi,SV86: name] :
      ( ( ( fresh_name_pi @ SV86 @ SV344 )
        = $false )
      | ( ( ! [SY1815: late_subject,SY1816: name] :
              ( ( late_BoundR @ SY1815 @ SY1816 @ SV344 )
              = ( late_BoundR @ SY1815 @ SV86 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1816 @ SV86 ) @ nil_Pr743626285e_name ) @ SV344 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1734]) ).

thf(1974,plain,
    ! [SV345: name,SV90: name] :
      ( ( ( ~ ( ( ( late_BoundOutputS @ SV90 )
                = ( late_BoundOutputS @ SV345 ) )
              | ( SV90 = SV345 ) ) )
        = $true )
      | ( ( ~ ( ( ( late_BoundOutputS @ SV90 )
               != ( late_BoundOutputS @ SV345 ) )
              | ( SV90 != SV345 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1735]) ).

thf(1975,plain,
    ! [SV346: pi,SV91: name] :
      ( ( ( fresh_name_pi @ SV91 @ SV346 )
        = $false )
      | ( ( ! [SY1817: name,SY1818: name] :
              ( ( subs @ ( subs @ SV346 @ SY1817 @ SV91 ) @ SV91 @ SY1818 )
              = ( subs @ SV346 @ SY1817 @ SY1818 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1737]) ).

thf(1976,plain,
    ! [SV348: name,SV93: name] :
      ( ( ( ~ ( ( fresh_717452603ubject @ SV93 @ ( late_BoundOutputS @ SV348 ) )
              | ( fresh_name_name @ SV93 @ SV348 ) ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_717452603ubject @ SV93 @ ( late_BoundOutputS @ SV348 ) )
              | ~ ( fresh_name_name @ SV93 @ SV348 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1738]) ).

thf(1977,plain,
    ! [SV349: late_residual,SV94: pi] :
      ( ( ( late_transitions @ SV94 @ SV349 )
        = $false )
      | ( ( ! [SY1819: name] :
              ( ~ ( fresh_name_pi @ SY1819 @ SV94 )
              | ( fresh_81631222sidual @ SY1819 @ SV349 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1740]) ).

thf(1978,plain,
    ! [SV538: pi,SV350: late_freeRes,SV95: pi] :
      ( ( ( ~ ( late_transitions @ SV95 @ ( late_FreeR @ SV350 @ SV538 ) ) )
        = $true )
      | ( ( ! [SY2141: name] :
              ( ~ ( fresh_1641682979reeRes @ SY2141 @ SV350 )
              | ( late_transitions @ ( res @ SY2141 @ SV95 ) @ ( late_FreeR @ SV350 @ ( res @ SY2141 @ SV538 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1741]) ).

thf(1979,plain,
    ! [SV658: pi,SV539: name,SV351: late_subject,SV96: pi] :
      ( ( ~ ( late_transitions @ SV96 @ ( late_BoundR @ SV351 @ SV539 @ SV658 ) )
        | ! [SY2263: name] :
            ( ~ ( fresh_717452603ubject @ SY2263 @ SV351 )
            | ( SY2263 = SV539 )
            | ( late_transitions @ ( res @ SY2263 @ SV96 ) @ ( late_BoundR @ SV351 @ SV539 @ ( res @ SY2263 @ SV658 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1742]) ).

thf(1980,plain,
    ! [SV540: name,SV352: late_subject,SV97: pi] :
      ( ( ( ! [SY2144: pi] :
              ~ ( late_transitions @ SV97 @ ( late_BoundR @ SV352 @ SV540 @ SY2144 ) ) )
        = $true )
      | ( ( ! [SY1827: name] :
              ( ~ ( fresh_name_pi @ SY1827 @ SV97 )
              | ( fresh_717452603ubject @ SY1827 @ SV352 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1743]) ).

thf(1981,plain,
    ! [SV659: pi,SV541: name,SV353: late_subject,SV98: pi] :
      ( ( ~ ( late_transitions @ SV98 @ ( late_BoundR @ SV353 @ SV541 @ SV659 ) )
        | ! [SY2264: name] :
            ( ~ ( fresh_717452603ubject @ SY2264 @ SV353 )
            | ( SY2264 = SV541 )
            | ~ ( fresh_name_pi @ SV541 @ SV98 )
            | ~ ( fresh_717452603ubject @ SV541 @ SV353 )
            | ( late_transitions @ ( res @ SY2264 @ SV98 ) @ ( late_BoundR @ SV353 @ SV541 @ ( res @ SY2264 @ SV659 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1744]) ).

thf(1982,plain,
    ! [SV660: pi,SV542: name,SV354: late_subject,SV99: pi] :
      ( ( ~ ( late_transitions @ SV99 @ ( late_BoundR @ SV354 @ SV542 @ SV660 ) )
        | ~ ( fresh_name_pi @ SV542 @ SV99 )
        | ! [SY2265: pi] :
            ( ~ ( fresh_name_pi @ SV542 @ SY2265 )
            | ~ ( fresh_717452603ubject @ SV542 @ SV354 )
            | ( late_transitions @ ( par @ SV99 @ SY2265 ) @ ( late_BoundR @ SV354 @ SV542 @ ( par @ SV660 @ SY2265 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1745]) ).

thf(1983,plain,
    ! [SV661: pi,SV543: name,SV355: late_subject,SV100: pi] :
      ( ( ~ ( late_transitions @ SV100 @ ( late_BoundR @ SV355 @ SV543 @ SV661 ) )
        | ! [SY2266: pi] :
            ( ~ ( fresh_name_pi @ SV543 @ SY2266 )
            | ~ ( fresh_name_pi @ SV543 @ SV100 )
            | ~ ( fresh_717452603ubject @ SV543 @ SV355 )
            | ( late_transitions @ ( par @ SY2266 @ SV100 ) @ ( late_BoundR @ SV355 @ SV543 @ ( par @ SY2266 @ SV661 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1746]) ).

thf(1984,plain,
    ! [SV662: late_freeRes,SV544: pi,SV356: name,SV101: late_subject] :
      ( ( ! [SY2267: pi] :
            ( ( late_BoundR @ SV101 @ SV356 @ SV544 )
           != ( late_FreeR @ SV662 @ SY2267 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1747]) ).

thf(1985,plain,
    ! [SV102: late_residual > $o] :
      ( ( ( ~ ( SV102 @ ( late_FreeR @ ( sK98_FreeRes2 @ SV102 ) @ ( sK99_SY1084 @ SV102 ) ) ) )
        = $true )
      | ( ( ! [SY1313: late_residual] : ( SV102 @ SY1313 ) )
        = $true )
      | ( ( SV102 @ ( late_BoundR @ ( sK100_Subject2 @ SV102 ) @ ( sK101_SY1085 @ SV102 ) @ ( sK102_SY1087 @ SV102 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1748]) ).

thf(1986,plain,
    ! [SV357: late_residual,SV103: pi] :
      ( ( ( late_transitions @ SV103 @ SV357 )
        = $false )
      | ( ( ! [SY1840: list_P227219501e_name] : ( late_transitions @ ( perm_name_pi @ SY1840 @ SV103 ) @ ( perm_n414416632sidual @ SY1840 @ SV357 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1749]) ).

thf(1987,plain,
    ! [SV105: late_subject > $o] :
      ( ( ( ~ ( SV105 @ ( late_BoundOutputS @ ( sK96_Name3 @ SV105 ) ) ) )
        = $true )
      | ( ( ! [SY1317: late_subject] : ( SV105 @ SY1317 ) )
        = $true )
      | ( ( SV105 @ ( late_InputS @ ( sK97_Name3 @ SV105 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1751]) ).

thf(1988,plain,
    ! [SV545: pi,SV359: late_freeRes,SV106: pi] :
      ( ( ( ~ ( late_transitions @ SV106 @ ( late_FreeR @ SV359 @ SV545 ) ) )
        = $true )
      | ( ( ! [SY2154: pi] : ( late_transitions @ ( par @ SV106 @ SY2154 ) @ ( late_FreeR @ SV359 @ ( par @ SV545 @ SY2154 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1752]) ).

thf(1989,plain,
    ! [SV546: pi,SV360: late_freeRes,SV107: pi] :
      ( ( ( ~ ( late_transitions @ SV107 @ ( late_FreeR @ SV360 @ SV546 ) ) )
        = $true )
      | ( ( ! [SY2155: pi] : ( late_transitions @ ( par @ SY2155 @ SV107 ) @ ( late_FreeR @ SV360 @ ( par @ SY2155 @ SV546 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1753]) ).

thf(1990,plain,
    ! [SV663: pi,SV547: name,SV361: late_subject,SV108: pi] :
      ( ( ~ ( late_transitions @ SV108 @ ( late_BoundR @ SV361 @ SV547 @ SV663 ) )
        | ! [SY2268: name] :
            ( ~ ( fresh_name_pi @ SY2268 @ SV108 )
            | ( SY2268 = SV547 )
            | ( fresh_name_pi @ SY2268 @ SV663 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1754]) ).

thf(1991,plain,
    ! [SV548: pi,SV362: late_freeRes,SV109: pi] :
      ( ( ( ~ ( late_transitions @ SV109 @ ( late_FreeR @ SV362 @ SV548 ) ) )
        = $true )
      | ( ( ! [SY2158: name] :
              ( ~ ( fresh_name_pi @ SY2158 @ SV109 )
              | ( fresh_name_pi @ SY2158 @ SV548 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1755]) ).

thf(1992,plain,
    ! [SV664: pi,SV549: name,SV363: late_subject,SV110: pi] :
      ( ( ~ ( late_transitions @ SV110 @ ( late_BoundR @ SV363 @ SV549 @ SV664 ) )
        | ! [SY2269: pi] :
            ( ~ ( fresh_name_pi @ SV549 @ SY2269 )
            | ( late_transitions @ ( par @ SV110 @ SY2269 ) @ ( late_BoundR @ SV363 @ SV549 @ ( par @ SV664 @ SY2269 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1756]) ).

thf(1993,plain,
    ! [SV665: pi,SV550: name,SV364: late_subject,SV111: pi] :
      ( ( ~ ( late_transitions @ SV111 @ ( late_BoundR @ SV364 @ SV550 @ SV665 ) )
        | ! [SY2270: pi] :
            ( ~ ( fresh_name_pi @ SV550 @ SY2270 )
            | ( late_transitions @ ( par @ SY2270 @ SV111 ) @ ( late_BoundR @ SV364 @ SV550 @ ( par @ SY2270 @ SV665 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1757]) ).

thf(1994,plain,
    ! [SV666: pi,SV551: name,SV365: name,SV112: pi] :
      ( ( ~ ( late_transitions @ SV112 @ ( late_FreeR @ ( late_OutputR @ SV365 @ SV551 ) @ SV666 ) )
        | ( SV365 = SV551 )
        | ( late_transitions @ ( res @ SV551 @ SV112 ) @ ( late_BoundR @ ( late_BoundOutputS @ SV365 ) @ SV551 @ SV666 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1758]) ).

thf(1995,plain,
    ! [SV667: name,SV552: late_subject,SV366: pi,SV113: pi] :
      ( ( ! [SY2271: set_Pr1834926343_pi_pi] :
            ( ~ ( strong2129052853vative @ SV113 @ SV366 @ SV552 @ SV667 @ SY2271 )
            | ~ ( eqvt_pi @ SY2271 )
            | ! [SY2272: list_P227219501e_name] : ( strong2129052853vative @ ( perm_name_pi @ SY2272 @ SV113 ) @ ( perm_name_pi @ SY2272 @ SV366 ) @ SV552 @ ( perm_name_name @ SY2272 @ SV667 ) @ SY2271 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1759]) ).

thf(1996,plain,
    ! [SV367: pi,SV115: pi] :
      ( ( ( SV115 = SV367 )
        = $false )
      | ( ( ! [SY1862: list_P227219501e_name] :
              ( ( perm_name_pi @ SY1862 @ SV115 )
              = ( perm_name_pi @ SY1862 @ SV367 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1761]) ).

thf(1997,plain,
    ! [SV553: name,SV368: name,SV116: name] :
      ( ( ( ~ ( fresh_441084397e_name @ SV116 @ ( produc1570949143e_name @ SV368 @ SV553 ) ) )
        = $true )
      | ( ( fresh_name_name @ SV116 @ SV553 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1762]) ).

thf(1998,plain,
    ! [SV668: name,SV369: name,SV117: name] :
      ( ( ( ~ ( fresh_441084397e_name @ SV117 @ ( produc1570949143e_name @ SV369 @ SV668 ) ) )
        = $true )
      | ( ( fresh_name_name @ SV117 @ SV369 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1763]) ).

thf(1999,plain,
    ! [SV371: name,SV119: name] :
      ( ( ( ~ ( ( ( late_BoundOutputS @ SV119 )
                = ( late_BoundOutputS @ SV371 ) )
              | ( SV119 = SV371 ) ) )
        = $true )
      | ( ( ~ ( ( ( late_BoundOutputS @ SV119 )
               != ( late_BoundOutputS @ SV371 ) )
              | ( SV119 != SV371 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1765]) ).

thf(2000,plain,
    ! [SV669: pi,SV555: name,SV373: name,SV122: list_P227219501e_name] :
      ( ( ( perm_name_pi @ SV122 @ ( input @ SV373 @ SV555 @ SV669 ) )
        = ( input @ ( perm_name_name @ SV122 @ SV373 ) @ ( perm_name_name @ SV122 @ SV555 ) @ ( perm_name_pi @ SV122 @ SV669 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1768]) ).

thf(2001,plain,
    ! [SV670: name,SV556: pi,SV374: name,SV123: name] :
      ( ( ! [SY2273: pi] :
            ( ( input @ SV123 @ SV374 @ SV556 )
           != ( res @ SV670 @ SY2273 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1769]) ).

thf(2002,plain,
    ! [SV671: pi,SV557: pi,SV375: name,SV124: name] :
      ( ( ! [SY2274: pi] :
            ( ( input @ SV124 @ SV375 @ SV557 )
           != ( par @ SV671 @ SY2274 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1770]) ).

thf(2003,plain,
    ! [SV672: late_residual,SV558: pi,SV376: name,SV125: name] :
      ( ( ~ ( late_transitions @ ( res @ SV125 @ ( input @ SV125 @ SV376 @ SV558 ) ) @ SV672 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1771]) ).

thf(2004,plain,
    ! [SV673: late_freeRes,SV559: pi,SV377: name,SV126: name] :
      ( ( ! [SY2275: pi] :
            ~ ( late_transitions @ ( input @ SV126 @ SV377 @ SV559 ) @ ( late_FreeR @ SV673 @ SY2275 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1772]) ).

thf(2005,plain,
    ! [SV674: pi,SV560: name,SV378: name,SV127: name] :
      ( ( ! [SY2276: late_freeRes,SY2277: pi] :
            ~ ( late_transitions @ ( res @ SV127 @ ( input @ SV378 @ SV560 @ SV674 ) ) @ ( late_FreeR @ SY2276 @ SY2277 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1773]) ).

thf(2006,plain,
    ! [SV675: name,SV561: pi,SV379: name,SV128: name] :
      ( ( ! [SY2278: name,SY2279: pi] :
            ~ ( late_transitions @ ( input @ SV128 @ SV379 @ SV561 ) @ ( late_BoundR @ ( late_BoundOutputS @ SV675 ) @ SY2278 @ SY2279 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1774]) ).

thf(2007,plain,
    ! [SV676: pi,SV130: name,SV381: name] :
      ( ( ( late_transitions @ ( input @ SV381 @ SV130 @ SV676 ) @ ( late_BoundR @ ( late_InputS @ SV381 ) @ SV130 @ SV676 ) )
        = $true )
      | ( ( SV130 = SV381 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1776]) ).

thf(2008,plain,
    ! [SV677: late_subject,SV563: pi,SV382: name,SV131: name] :
      ( ( ! [SY2280: name,SY2281: pi] :
            ~ ( late_transitions @ ( input @ SV131 @ SV382 @ SV563 ) @ ( late_BoundR @ SV677 @ SY2280 @ SY2281 ) )
        | ~ ( fresh_717452603ubject @ SV131 @ SV677 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1777]) ).

thf(2009,plain,
    ! [SV678: pi,SV564: name,SV383: name,SV132: name] :
      ( ( ! [SY2282: name,SY2283: name,SY2284: pi] :
            ~ ( late_transitions @ ( res @ SV132 @ ( input @ SV383 @ SV564 @ SV678 ) ) @ ( late_BoundR @ ( late_BoundOutputS @ SY2282 ) @ SY2283 @ SY2284 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1778]) ).

thf(2010,plain,
    ! [SV384: pi,SV133: name] :
      ( ( ( fresh_name_pi @ SV133 @ SV384 )
        = $false )
      | ( ( ! [SY1898: name,SY1899: name] :
              ( ( input @ SY1898 @ SY1899 @ SV384 )
              = ( input @ SY1898 @ SV133 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1899 @ SV133 ) @ nil_Pr743626285e_name ) @ SV384 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1779]) ).

thf(2011,plain,
    ! [SV679: name,SV565: list_P227219501e_name,SV385: name,SV134: name] :
      ( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV134 @ SV385 ) @ SV565 ) @ SV679 )
        = ( swap_name2 @ ( produc1570949143e_name @ SV134 @ SV385 ) @ ( perm_name_name @ SV565 @ SV679 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1780]) ).

thf(2012,plain,
    ! [SV135: $o] :
      ( ( ( ~ ( SV135
              | $true ) )
        = $true )
      | ( ( ~ ( ~ SV135
              | ~ $true ) )
        = $true )
      | ( ( SV135 = $false )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1781]) ).

thf(2013,plain,
    ! [SV135: $o] :
      ( ( ( ~ ( SV135
              | $false )
          | ~ ( ~ SV135
              | ~ $false ) )
        = $true )
      | ( ( SV135 = $true )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1782]) ).

thf(2014,plain,
    ! [SV135: $o] :
      ( ( ( SV135 = $false )
        = $true )
      | ( ( SV135 = $true )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1782]) ).

thf(2015,plain,
    ( ( ( ~ ( $true
            | $true ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1783]) ).

thf(2016,plain,
    ( ( ( ~ ( $true
            | $false )
        | ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1784]) ).

thf(2017,plain,
    ( ( ( $true = $false )
      = $true )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1784]) ).

thf(2018,plain,
    ( ( ( ~ ( $false
            | $true ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1785]) ).

thf(2019,plain,
    ( ( ( ~ ( $false
            | $false )
        | ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1786]) ).

thf(2020,plain,
    ( ( ( $false = $false )
      = $true )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1786]) ).

thf(2021,plain,
    ! [SV386: list_P227219501e_name,SV136: name] :
      ( ( ( fresh_922791155e_name @ SV136 @ SV386 )
        = $false )
      | ( ( ! [SY1902: late_subject] :
              ( ~ ( fresh_717452603ubject @ SV136 @ SY1902 )
              | ( fresh_717452603ubject @ SV136 @ ( perm_n1559866809ubject @ SV386 @ SY1902 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1787]) ).

thf(2022,plain,
    ! [SV387: list_P227219501e_name,SV137: name] :
      ( ( ( fresh_922791155e_name @ SV137 @ SV387 )
        = $false )
      | ( ( ! [SY1903: late_freeRes] :
              ( ~ ( fresh_1641682979reeRes @ SV137 @ SY1903 )
              | ( fresh_1641682979reeRes @ SV137 @ ( perm_n336613537reeRes @ SV387 @ SY1903 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1788]) ).

thf(2023,plain,
    ! [SV388: list_P227219501e_name,SV138: name] :
      ( ( ( fresh_922791155e_name @ SV138 @ SV388 )
        = $false )
      | ( ( ! [SY1904: pi_Rep] :
              ( ~ ( fresh_name_pi_Rep @ SV138 @ SY1904 )
              | ( fresh_name_pi_Rep @ SV138 @ ( perm_name_pi_Rep @ SV388 @ SY1904 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1789]) ).

thf(2024,plain,
    ! [SV389: list_P227219501e_name,SV139: name] :
      ( ( ( fresh_922791155e_name @ SV139 @ SV389 )
        = $false )
      | ( ( ! [SY1905: product_unit] :
              ( ~ ( fresh_1143631827t_unit @ SV139 @ SY1905 )
              | ( fresh_1143631827t_unit @ SV139 @ ( perm_n1960409557t_unit @ SV389 @ SY1905 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1790]) ).

thf(2025,plain,
    ! [SV390: list_P227219501e_name,SV140: name] :
      ( ( ( fresh_922791155e_name @ SV140 @ SV390 )
        = $false )
      | ( ( ! [SY1906: produc1141751126_pi_pi] :
              ( ~ ( fresh_1376661020_pi_pi @ SV140 @ SY1906 )
              | ( fresh_1376661020_pi_pi @ SV140 @ ( perm_n1255502110_pi_pi @ SV390 @ SY1906 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1791]) ).

thf(2026,plain,
    ! [SV391: list_P227219501e_name,SV141: name] :
      ( ( ( fresh_922791155e_name @ SV141 @ SV391 )
        = $false )
      | ( ( ! [SY1907: name] :
              ( ~ ( fresh_name_name @ SV141 @ SY1907 )
              | ( fresh_name_name @ SV141 @ ( perm_name_name @ SV391 @ SY1907 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1792]) ).

thf(2027,plain,
    ! [SV392: list_P227219501e_name,SV142: name] :
      ( ( ( fresh_922791155e_name @ SV142 @ SV392 )
        = $false )
      | ( ( ! [SY1908: name > noption_pi] :
              ( ~ ( fresh_543891186ion_pi @ SV142 @ SY1908 )
              | ( fresh_543891186ion_pi @ SV142 @ ( perm_n1667196784ion_pi @ SV392 @ SY1908 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1793]) ).

thf(2028,plain,
    ! [SV566: late_subject,SV393: name,SV147: list_P227219501e_name] :
      ( ( ~ ( ( perm_name_o @ SV147 @ ( fresh_717452603ubject @ SV393 @ SV566 ) )
            | ( fresh_717452603ubject @ ( perm_name_name @ SV147 @ SV393 ) @ ( perm_n1559866809ubject @ SV147 @ SV566 ) ) )
        | ~ ( ~ ( perm_name_o @ SV147 @ ( fresh_717452603ubject @ SV393 @ SV566 ) )
            | ~ ( fresh_717452603ubject @ ( perm_name_name @ SV147 @ SV393 ) @ ( perm_n1559866809ubject @ SV147 @ SV566 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1794]) ).

thf(2029,plain,
    ! [SV566: late_subject,SV393: name,SV147: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV147 @ ( fresh_717452603ubject @ SV393 @ SV566 ) )
        = ( fresh_717452603ubject @ ( perm_name_name @ SV147 @ SV393 ) @ ( perm_n1559866809ubject @ SV147 @ SV566 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1794]) ).

thf(2030,plain,
    ! [SV567: late_freeRes,SV394: name,SV148: list_P227219501e_name] :
      ( ( ~ ( ( perm_name_o @ SV148 @ ( fresh_1641682979reeRes @ SV394 @ SV567 ) )
            | ( fresh_1641682979reeRes @ ( perm_name_name @ SV148 @ SV394 ) @ ( perm_n336613537reeRes @ SV148 @ SV567 ) ) )
        | ~ ( ~ ( perm_name_o @ SV148 @ ( fresh_1641682979reeRes @ SV394 @ SV567 ) )
            | ~ ( fresh_1641682979reeRes @ ( perm_name_name @ SV148 @ SV394 ) @ ( perm_n336613537reeRes @ SV148 @ SV567 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1795]) ).

thf(2031,plain,
    ! [SV567: late_freeRes,SV394: name,SV148: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV148 @ ( fresh_1641682979reeRes @ SV394 @ SV567 ) )
        = ( fresh_1641682979reeRes @ ( perm_name_name @ SV148 @ SV394 ) @ ( perm_n336613537reeRes @ SV148 @ SV567 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1795]) ).

thf(2032,plain,
    ! [SV568: pi_Rep,SV395: name,SV149: list_P227219501e_name] :
      ( ( ~ ( ( perm_name_o @ SV149 @ ( fresh_name_pi_Rep @ SV395 @ SV568 ) )
            | ( fresh_name_pi_Rep @ ( perm_name_name @ SV149 @ SV395 ) @ ( perm_name_pi_Rep @ SV149 @ SV568 ) ) )
        | ~ ( ~ ( perm_name_o @ SV149 @ ( fresh_name_pi_Rep @ SV395 @ SV568 ) )
            | ~ ( fresh_name_pi_Rep @ ( perm_name_name @ SV149 @ SV395 ) @ ( perm_name_pi_Rep @ SV149 @ SV568 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1796]) ).

thf(2033,plain,
    ! [SV568: pi_Rep,SV395: name,SV149: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV149 @ ( fresh_name_pi_Rep @ SV395 @ SV568 ) )
        = ( fresh_name_pi_Rep @ ( perm_name_name @ SV149 @ SV395 ) @ ( perm_name_pi_Rep @ SV149 @ SV568 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1796]) ).

thf(2034,plain,
    ! [SV569: product_unit,SV396: name,SV150: list_P227219501e_name] :
      ( ( ~ ( ( perm_name_o @ SV150 @ ( fresh_1143631827t_unit @ SV396 @ SV569 ) )
            | ( fresh_1143631827t_unit @ ( perm_name_name @ SV150 @ SV396 ) @ ( perm_n1960409557t_unit @ SV150 @ SV569 ) ) )
        | ~ ( ~ ( perm_name_o @ SV150 @ ( fresh_1143631827t_unit @ SV396 @ SV569 ) )
            | ~ ( fresh_1143631827t_unit @ ( perm_name_name @ SV150 @ SV396 ) @ ( perm_n1960409557t_unit @ SV150 @ SV569 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1797]) ).

thf(2035,plain,
    ! [SV569: product_unit,SV396: name,SV150: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV150 @ ( fresh_1143631827t_unit @ SV396 @ SV569 ) )
        = ( fresh_1143631827t_unit @ ( perm_name_name @ SV150 @ SV396 ) @ ( perm_n1960409557t_unit @ SV150 @ SV569 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1797]) ).

thf(2036,plain,
    ! [SV570: produc1141751126_pi_pi,SV397: name,SV151: list_P227219501e_name] :
      ( ( ~ ( ( perm_name_o @ SV151 @ ( fresh_1376661020_pi_pi @ SV397 @ SV570 ) )
            | ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV151 @ SV397 ) @ ( perm_n1255502110_pi_pi @ SV151 @ SV570 ) ) )
        | ~ ( ~ ( perm_name_o @ SV151 @ ( fresh_1376661020_pi_pi @ SV397 @ SV570 ) )
            | ~ ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV151 @ SV397 ) @ ( perm_n1255502110_pi_pi @ SV151 @ SV570 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1798]) ).

thf(2037,plain,
    ! [SV570: produc1141751126_pi_pi,SV397: name,SV151: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV151 @ ( fresh_1376661020_pi_pi @ SV397 @ SV570 ) )
        = ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV151 @ SV397 ) @ ( perm_n1255502110_pi_pi @ SV151 @ SV570 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1798]) ).

thf(2038,plain,
    ! [SV571: name,SV398: name,SV152: list_P227219501e_name] :
      ( ( ~ ( ( perm_name_o @ SV152 @ ( fresh_name_name @ SV398 @ SV571 ) )
            | ( fresh_name_name @ ( perm_name_name @ SV152 @ SV398 ) @ ( perm_name_name @ SV152 @ SV571 ) ) )
        | ~ ( ~ ( perm_name_o @ SV152 @ ( fresh_name_name @ SV398 @ SV571 ) )
            | ~ ( fresh_name_name @ ( perm_name_name @ SV152 @ SV398 ) @ ( perm_name_name @ SV152 @ SV571 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1799]) ).

thf(2039,plain,
    ! [SV571: name,SV398: name,SV152: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV152 @ ( fresh_name_name @ SV398 @ SV571 ) )
        = ( fresh_name_name @ ( perm_name_name @ SV152 @ SV398 ) @ ( perm_name_name @ SV152 @ SV571 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1799]) ).

thf(2040,plain,
    ! [SV572: pi,SV399: name,SV153: list_P227219501e_name] :
      ( ( ~ ( ( perm_name_o @ SV153 @ ( fresh_name_pi @ SV399 @ SV572 ) )
            | ( fresh_name_pi @ ( perm_name_name @ SV153 @ SV399 ) @ ( perm_name_pi @ SV153 @ SV572 ) ) )
        | ~ ( ~ ( perm_name_o @ SV153 @ ( fresh_name_pi @ SV399 @ SV572 ) )
            | ~ ( fresh_name_pi @ ( perm_name_name @ SV153 @ SV399 ) @ ( perm_name_pi @ SV153 @ SV572 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1800]) ).

thf(2041,plain,
    ! [SV572: pi,SV399: name,SV153: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV153 @ ( fresh_name_pi @ SV399 @ SV572 ) )
        = ( fresh_name_pi @ ( perm_name_name @ SV153 @ SV399 ) @ ( perm_name_pi @ SV153 @ SV572 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1800]) ).

thf(2042,plain,
    ! [SV573: name > noption_pi,SV400: name,SV154: list_P227219501e_name] :
      ( ( ~ ( ( perm_name_o @ SV154 @ ( fresh_543891186ion_pi @ SV400 @ SV573 ) )
            | ( fresh_543891186ion_pi @ ( perm_name_name @ SV154 @ SV400 ) @ ( perm_n1667196784ion_pi @ SV154 @ SV573 ) ) )
        | ~ ( ~ ( perm_name_o @ SV154 @ ( fresh_543891186ion_pi @ SV400 @ SV573 ) )
            | ~ ( fresh_543891186ion_pi @ ( perm_name_name @ SV154 @ SV400 ) @ ( perm_n1667196784ion_pi @ SV154 @ SV573 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1801]) ).

thf(2043,plain,
    ! [SV573: name > noption_pi,SV400: name,SV154: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV154 @ ( fresh_543891186ion_pi @ SV400 @ SV573 ) )
        = ( fresh_543891186ion_pi @ ( perm_name_name @ SV154 @ SV400 ) @ ( perm_n1667196784ion_pi @ SV154 @ SV573 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1801]) ).

thf(2044,plain,
    ! [SV574: late_subject,SV401: name,SV155: list_P227219501e_name] :
      ( ( ~ ( ( fresh_717452603ubject @ ( perm_name_name @ SV155 @ SV401 ) @ ( perm_n1559866809ubject @ SV155 @ SV574 ) )
            | ( fresh_717452603ubject @ SV401 @ SV574 ) )
        | ~ ( ~ ( fresh_717452603ubject @ ( perm_name_name @ SV155 @ SV401 ) @ ( perm_n1559866809ubject @ SV155 @ SV574 ) )
            | ~ ( fresh_717452603ubject @ SV401 @ SV574 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1802]) ).

thf(2045,plain,
    ! [SV574: late_subject,SV401: name,SV155: list_P227219501e_name] :
      ( ( ( fresh_717452603ubject @ ( perm_name_name @ SV155 @ SV401 ) @ ( perm_n1559866809ubject @ SV155 @ SV574 ) )
        = ( fresh_717452603ubject @ SV401 @ SV574 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1802]) ).

thf(2046,plain,
    ! [SV575: late_freeRes,SV402: name,SV156: list_P227219501e_name] :
      ( ( ~ ( ( fresh_1641682979reeRes @ ( perm_name_name @ SV156 @ SV402 ) @ ( perm_n336613537reeRes @ SV156 @ SV575 ) )
            | ( fresh_1641682979reeRes @ SV402 @ SV575 ) )
        | ~ ( ~ ( fresh_1641682979reeRes @ ( perm_name_name @ SV156 @ SV402 ) @ ( perm_n336613537reeRes @ SV156 @ SV575 ) )
            | ~ ( fresh_1641682979reeRes @ SV402 @ SV575 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1803]) ).

thf(2047,plain,
    ! [SV575: late_freeRes,SV402: name,SV156: list_P227219501e_name] :
      ( ( ( fresh_1641682979reeRes @ ( perm_name_name @ SV156 @ SV402 ) @ ( perm_n336613537reeRes @ SV156 @ SV575 ) )
        = ( fresh_1641682979reeRes @ SV402 @ SV575 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1803]) ).

thf(2048,plain,
    ! [SV576: pi_Rep,SV403: name,SV157: list_P227219501e_name] :
      ( ( ~ ( ( fresh_name_pi_Rep @ ( perm_name_name @ SV157 @ SV403 ) @ ( perm_name_pi_Rep @ SV157 @ SV576 ) )
            | ( fresh_name_pi_Rep @ SV403 @ SV576 ) )
        | ~ ( ~ ( fresh_name_pi_Rep @ ( perm_name_name @ SV157 @ SV403 ) @ ( perm_name_pi_Rep @ SV157 @ SV576 ) )
            | ~ ( fresh_name_pi_Rep @ SV403 @ SV576 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1804]) ).

thf(2049,plain,
    ! [SV576: pi_Rep,SV403: name,SV157: list_P227219501e_name] :
      ( ( ( fresh_name_pi_Rep @ ( perm_name_name @ SV157 @ SV403 ) @ ( perm_name_pi_Rep @ SV157 @ SV576 ) )
        = ( fresh_name_pi_Rep @ SV403 @ SV576 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1804]) ).

thf(2050,plain,
    ! [SV577: product_unit,SV404: name,SV158: list_P227219501e_name] :
      ( ( ~ ( ( fresh_1143631827t_unit @ ( perm_name_name @ SV158 @ SV404 ) @ ( perm_n1960409557t_unit @ SV158 @ SV577 ) )
            | ( fresh_1143631827t_unit @ SV404 @ SV577 ) )
        | ~ ( ~ ( fresh_1143631827t_unit @ ( perm_name_name @ SV158 @ SV404 ) @ ( perm_n1960409557t_unit @ SV158 @ SV577 ) )
            | ~ ( fresh_1143631827t_unit @ SV404 @ SV577 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1805]) ).

thf(2051,plain,
    ! [SV577: product_unit,SV404: name,SV158: list_P227219501e_name] :
      ( ( ( fresh_1143631827t_unit @ ( perm_name_name @ SV158 @ SV404 ) @ ( perm_n1960409557t_unit @ SV158 @ SV577 ) )
        = ( fresh_1143631827t_unit @ SV404 @ SV577 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1805]) ).

thf(2052,plain,
    ! [SV578: produc1141751126_pi_pi,SV405: name,SV159: list_P227219501e_name] :
      ( ( ~ ( ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV159 @ SV405 ) @ ( perm_n1255502110_pi_pi @ SV159 @ SV578 ) )
            | ( fresh_1376661020_pi_pi @ SV405 @ SV578 ) )
        | ~ ( ~ ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV159 @ SV405 ) @ ( perm_n1255502110_pi_pi @ SV159 @ SV578 ) )
            | ~ ( fresh_1376661020_pi_pi @ SV405 @ SV578 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1806]) ).

thf(2053,plain,
    ! [SV578: produc1141751126_pi_pi,SV405: name,SV159: list_P227219501e_name] :
      ( ( ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV159 @ SV405 ) @ ( perm_n1255502110_pi_pi @ SV159 @ SV578 ) )
        = ( fresh_1376661020_pi_pi @ SV405 @ SV578 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1806]) ).

thf(2054,plain,
    ! [SV579: name,SV406: name,SV160: list_P227219501e_name] :
      ( ( ~ ( ( fresh_name_name @ ( perm_name_name @ SV160 @ SV406 ) @ ( perm_name_name @ SV160 @ SV579 ) )
            | ( fresh_name_name @ SV406 @ SV579 ) )
        | ~ ( ~ ( fresh_name_name @ ( perm_name_name @ SV160 @ SV406 ) @ ( perm_name_name @ SV160 @ SV579 ) )
            | ~ ( fresh_name_name @ SV406 @ SV579 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1807]) ).

thf(2055,plain,
    ! [SV579: name,SV406: name,SV160: list_P227219501e_name] :
      ( ( ( fresh_name_name @ ( perm_name_name @ SV160 @ SV406 ) @ ( perm_name_name @ SV160 @ SV579 ) )
        = ( fresh_name_name @ SV406 @ SV579 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1807]) ).

thf(2056,plain,
    ! [SV580: name > noption_pi,SV407: name,SV161: list_P227219501e_name] :
      ( ( ~ ( ( fresh_543891186ion_pi @ ( perm_name_name @ SV161 @ SV407 ) @ ( perm_n1667196784ion_pi @ SV161 @ SV580 ) )
            | ( fresh_543891186ion_pi @ SV407 @ SV580 ) )
        | ~ ( ~ ( fresh_543891186ion_pi @ ( perm_name_name @ SV161 @ SV407 ) @ ( perm_n1667196784ion_pi @ SV161 @ SV580 ) )
            | ~ ( fresh_543891186ion_pi @ SV407 @ SV580 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1808]) ).

thf(2057,plain,
    ! [SV580: name > noption_pi,SV407: name,SV161: list_P227219501e_name] :
      ( ( ( fresh_543891186ion_pi @ ( perm_name_name @ SV161 @ SV407 ) @ ( perm_n1667196784ion_pi @ SV161 @ SV580 ) )
        = ( fresh_543891186ion_pi @ SV407 @ SV580 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1808]) ).

thf(2058,plain,
    ! [SV593: late_subject,SV420: late_subject,SV174: list_P227219501e_name] :
      ( ( ~ ( ( ( perm_n1559866809ubject @ SV174 @ SV420 )
              = ( perm_n1559866809ubject @ SV174 @ SV593 ) )
            | ( SV420 = SV593 ) )
        | ~ ( ( ( perm_n1559866809ubject @ SV174 @ SV420 )
             != ( perm_n1559866809ubject @ SV174 @ SV593 ) )
            | ( SV420 != SV593 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1821]) ).

thf(2059,plain,
    ! [SV593: late_subject,SV420: late_subject,SV174: list_P227219501e_name] :
      ( ( ( ( perm_n1559866809ubject @ SV174 @ SV420 )
          = ( perm_n1559866809ubject @ SV174 @ SV593 ) )
        = ( SV420 = SV593 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1821]) ).

thf(2060,plain,
    ! [SV594: late_freeRes,SV421: late_freeRes,SV175: list_P227219501e_name] :
      ( ( ~ ( ( ( perm_n336613537reeRes @ SV175 @ SV421 )
              = ( perm_n336613537reeRes @ SV175 @ SV594 ) )
            | ( SV421 = SV594 ) )
        | ~ ( ( ( perm_n336613537reeRes @ SV175 @ SV421 )
             != ( perm_n336613537reeRes @ SV175 @ SV594 ) )
            | ( SV421 != SV594 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1822]) ).

thf(2061,plain,
    ! [SV594: late_freeRes,SV421: late_freeRes,SV175: list_P227219501e_name] :
      ( ( ( ( perm_n336613537reeRes @ SV175 @ SV421 )
          = ( perm_n336613537reeRes @ SV175 @ SV594 ) )
        = ( SV421 = SV594 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1822]) ).

thf(2062,plain,
    ! [SV595: pi_Rep,SV422: pi_Rep,SV176: list_P227219501e_name] :
      ( ( ~ ( ( ( perm_name_pi_Rep @ SV176 @ SV422 )
              = ( perm_name_pi_Rep @ SV176 @ SV595 ) )
            | ( SV422 = SV595 ) )
        | ~ ( ( ( perm_name_pi_Rep @ SV176 @ SV422 )
             != ( perm_name_pi_Rep @ SV176 @ SV595 ) )
            | ( SV422 != SV595 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1823]) ).

thf(2063,plain,
    ! [SV595: pi_Rep,SV422: pi_Rep,SV176: list_P227219501e_name] :
      ( ( ( ( perm_name_pi_Rep @ SV176 @ SV422 )
          = ( perm_name_pi_Rep @ SV176 @ SV595 ) )
        = ( SV422 = SV595 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1823]) ).

thf(2064,plain,
    ! [SV596: name,SV423: name,SV177: list_P227219501e_name] :
      ( ( ~ ( ( ( perm_name_name @ SV177 @ SV423 )
              = ( perm_name_name @ SV177 @ SV596 ) )
            | ( SV423 = SV596 ) )
        | ~ ( ( ( perm_name_name @ SV177 @ SV423 )
             != ( perm_name_name @ SV177 @ SV596 ) )
            | ( SV423 != SV596 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1824]) ).

thf(2065,plain,
    ! [SV596: name,SV423: name,SV177: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV177 @ SV423 )
          = ( perm_name_name @ SV177 @ SV596 ) )
        = ( SV423 = SV596 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1824]) ).

thf(2066,plain,
    ! [SV605: late_subject,SV432: late_subject,SV186: list_P227219501e_name] :
      ( ( ~ ( ( perm_name_o @ SV186 @ ( SV432 = SV605 ) )
            | ( ( perm_n1559866809ubject @ SV186 @ SV432 )
              = ( perm_n1559866809ubject @ SV186 @ SV605 ) ) )
        | ~ ( ~ ( perm_name_o @ SV186 @ ( SV432 = SV605 ) )
            | ( ( perm_n1559866809ubject @ SV186 @ SV432 )
             != ( perm_n1559866809ubject @ SV186 @ SV605 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1833]) ).

thf(2067,plain,
    ! [SV605: late_subject,SV432: late_subject,SV186: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV186 @ ( SV432 = SV605 ) )
        = ( ( perm_n1559866809ubject @ SV186 @ SV432 )
          = ( perm_n1559866809ubject @ SV186 @ SV605 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1833]) ).

thf(2068,plain,
    ! [SV606: late_freeRes,SV433: late_freeRes,SV187: list_P227219501e_name] :
      ( ( ~ ( ( perm_name_o @ SV187 @ ( SV433 = SV606 ) )
            | ( ( perm_n336613537reeRes @ SV187 @ SV433 )
              = ( perm_n336613537reeRes @ SV187 @ SV606 ) ) )
        | ~ ( ~ ( perm_name_o @ SV187 @ ( SV433 = SV606 ) )
            | ( ( perm_n336613537reeRes @ SV187 @ SV433 )
             != ( perm_n336613537reeRes @ SV187 @ SV606 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1834]) ).

thf(2069,plain,
    ! [SV606: late_freeRes,SV433: late_freeRes,SV187: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV187 @ ( SV433 = SV606 ) )
        = ( ( perm_n336613537reeRes @ SV187 @ SV433 )
          = ( perm_n336613537reeRes @ SV187 @ SV606 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1834]) ).

thf(2070,plain,
    ! [SV607: pi_Rep,SV434: pi_Rep,SV188: list_P227219501e_name] :
      ( ( ~ ( ( perm_name_o @ SV188 @ ( SV434 = SV607 ) )
            | ( ( perm_name_pi_Rep @ SV188 @ SV434 )
              = ( perm_name_pi_Rep @ SV188 @ SV607 ) ) )
        | ~ ( ~ ( perm_name_o @ SV188 @ ( SV434 = SV607 ) )
            | ( ( perm_name_pi_Rep @ SV188 @ SV434 )
             != ( perm_name_pi_Rep @ SV188 @ SV607 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1835]) ).

thf(2071,plain,
    ! [SV607: pi_Rep,SV434: pi_Rep,SV188: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV188 @ ( SV434 = SV607 ) )
        = ( ( perm_name_pi_Rep @ SV188 @ SV434 )
          = ( perm_name_pi_Rep @ SV188 @ SV607 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1835]) ).

thf(2072,plain,
    ! [SV608: name,SV435: name,SV189: list_P227219501e_name] :
      ( ( ~ ( ( perm_name_o @ SV189 @ ( SV435 = SV608 ) )
            | ( ( perm_name_name @ SV189 @ SV435 )
              = ( perm_name_name @ SV189 @ SV608 ) ) )
        | ~ ( ~ ( perm_name_o @ SV189 @ ( SV435 = SV608 ) )
            | ( ( perm_name_name @ SV189 @ SV435 )
             != ( perm_name_name @ SV189 @ SV608 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1836]) ).

thf(2073,plain,
    ! [SV608: name,SV435: name,SV189: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV189 @ ( SV435 = SV608 ) )
        = ( ( perm_name_name @ SV189 @ SV435 )
          = ( perm_name_name @ SV189 @ SV608 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1836]) ).

thf(2074,plain,
    ! [SV680: pi,SV609: name,SV436: name,SV190: pi] :
      ( ( ! [SY2285: pi] :
            ( ~ ( late_transitions @ SV190 @ ( late_BoundR @ ( late_BoundOutputS @ SV436 ) @ SV609 @ SV680 ) )
            | ! [SY2286: name,SY2287: pi] :
                ( ~ ( late_transitions @ SY2285 @ ( late_BoundR @ ( late_InputS @ SV436 ) @ SY2286 @ SY2287 ) )
                | ~ ( fresh_name_pi @ SY2286 @ SV190 )
                | ~ ( fresh_name_pi @ SY2286 @ SY2285 )
                | ~ ( fresh_name_pi @ SV609 @ SV190 )
                | ~ ( fresh_name_pi @ SV609 @ SY2285 )
                | ( SY2286 = SV436 )
                | ~ ( fresh_name_pi @ SY2286 @ SV680 )
                | ( SV609 = SV436 )
                | ~ ( fresh_name_pi @ SV609 @ SY2287 )
                | ( SY2286 = SV609 )
                | ( late_transitions @ ( par @ SV190 @ SY2285 ) @ ( late_FreeR @ late_TauR @ ( res @ SV609 @ ( par @ SV680 @ ( subs @ SY2287 @ SY2286 @ SV609 ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1837]) ).

thf(2075,plain,
    ! [SV681: pi,SV610: name,SV437: name,SV191: pi] :
      ( ( ! [SY2288: pi] :
            ( ~ ( late_transitions @ SV191 @ ( late_BoundR @ ( late_InputS @ SV437 ) @ SV610 @ SV681 ) )
            | ! [SY2289: name,SY2290: pi] :
                ( ~ ( late_transitions @ SY2288 @ ( late_BoundR @ ( late_BoundOutputS @ SV437 ) @ SY2289 @ SY2290 ) )
                | ~ ( fresh_name_pi @ SV610 @ SV191 )
                | ~ ( fresh_name_pi @ SV610 @ SY2288 )
                | ~ ( fresh_name_pi @ SY2289 @ SV191 )
                | ~ ( fresh_name_pi @ SY2289 @ SY2288 )
                | ( SV610 = SV437 )
                | ~ ( fresh_name_pi @ SV610 @ SY2290 )
                | ( SY2289 = SV437 )
                | ~ ( fresh_name_pi @ SY2289 @ SV681 )
                | ( SV610 = SY2289 )
                | ( late_transitions @ ( par @ SV191 @ SY2288 ) @ ( late_FreeR @ late_TauR @ ( res @ SY2289 @ ( par @ ( subs @ SV681 @ SV610 @ SY2289 ) @ SY2290 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1838]) ).

thf(2076,plain,
    ! [SV682: pi,SV611: name,SV438: name,SV192: pi] :
      ( ( ! [SY2291: pi] :
            ( ~ ( late_transitions @ SV192 @ ( late_BoundR @ ( late_BoundOutputS @ SV438 ) @ SV611 @ SV682 ) )
            | ! [SY2292: name,SY2293: pi] :
                ( ~ ( late_transitions @ SY2291 @ ( late_BoundR @ ( late_InputS @ SV438 ) @ SY2292 @ SY2293 ) )
                | ~ ( fresh_name_pi @ SV611 @ SY2291 )
                | ( late_transitions @ ( par @ SV192 @ SY2291 ) @ ( late_FreeR @ late_TauR @ ( res @ SV611 @ ( par @ SV682 @ ( subs @ SY2293 @ SY2292 @ SV611 ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1839]) ).

thf(2077,plain,
    ! [SV683: pi,SV612: name,SV439: name,SV193: pi] :
      ( ( ! [SY2294: pi] :
            ( ~ ( late_transitions @ SV193 @ ( late_BoundR @ ( late_InputS @ SV439 ) @ SV612 @ SV683 ) )
            | ! [SY2295: name,SY2296: pi] :
                ( ~ ( late_transitions @ SY2294 @ ( late_BoundR @ ( late_BoundOutputS @ SV439 ) @ SY2295 @ SY2296 ) )
                | ~ ( fresh_name_pi @ SY2295 @ SV193 )
                | ( late_transitions @ ( par @ SV193 @ SY2294 ) @ ( late_FreeR @ late_TauR @ ( res @ SY2295 @ ( par @ ( subs @ SV683 @ SV612 @ SY2295 ) @ SY2296 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1840]) ).

thf(2078,plain,
    ! [SV684: pi,SV613: name,SV440: name,SV194: pi] :
      ( ( ! [SY2297: pi] :
            ( ~ ( late_transitions @ SV194 @ ( late_FreeR @ ( late_OutputR @ SV440 @ SV613 ) @ SV684 ) )
            | ! [SY2298: name,SY2299: pi] :
                ( ~ ( late_transitions @ SY2297 @ ( late_BoundR @ ( late_InputS @ SV440 ) @ SY2298 @ SY2299 ) )
                | ~ ( fresh_name_pi @ SY2298 @ SV194 )
                | ~ ( fresh_name_pi @ SY2298 @ SY2297 )
                | ( SY2298 = SV440 )
                | ( SY2298 = SV613 )
                | ~ ( fresh_name_pi @ SY2298 @ SV684 )
                | ( late_transitions @ ( par @ SV194 @ SY2297 ) @ ( late_FreeR @ late_TauR @ ( par @ SV684 @ ( subs @ SY2299 @ SY2298 @ SV613 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1841]) ).

thf(2079,plain,
    ! [SV685: pi,SV614: name,SV441: name,SV195: pi] :
      ( ( ! [SY2300: pi] :
            ( ~ ( late_transitions @ SV195 @ ( late_BoundR @ ( late_InputS @ SV441 ) @ SV614 @ SV685 ) )
            | ! [SY2301: name,SY2302: pi] :
                ( ~ ( late_transitions @ SY2300 @ ( late_FreeR @ ( late_OutputR @ SV441 @ SY2301 ) @ SY2302 ) )
                | ~ ( fresh_name_pi @ SV614 @ SV195 )
                | ~ ( fresh_name_pi @ SV614 @ SY2300 )
                | ( SV614 = SV441 )
                | ( SV614 = SY2301 )
                | ~ ( fresh_name_pi @ SV614 @ SY2302 )
                | ( late_transitions @ ( par @ SV195 @ SY2300 ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ SV685 @ SV614 @ SY2301 ) @ SY2302 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1842]) ).

thf(2080,plain,
    ! [SV686: pi,SV615: name,SV442: name,SV196: pi] :
      ( ( ! [SY2303: pi] :
            ( ~ ( late_transitions @ SV196 @ ( late_FreeR @ ( late_OutputR @ SV442 @ SV615 ) @ SV686 ) )
            | ! [SY2304: name,SY2305: pi] :
                ( ~ ( late_transitions @ SY2303 @ ( late_BoundR @ ( late_InputS @ SV442 ) @ SY2304 @ SY2305 ) )
                | ( late_transitions @ ( par @ SV196 @ SY2303 ) @ ( late_FreeR @ late_TauR @ ( par @ SV686 @ ( subs @ SY2305 @ SY2304 @ SV615 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1843]) ).

thf(2081,plain,
    ! [SV687: pi,SV616: name,SV443: name,SV197: pi] :
      ( ( ! [SY2306: pi] :
            ( ~ ( late_transitions @ SV197 @ ( late_BoundR @ ( late_InputS @ SV443 ) @ SV616 @ SV687 ) )
            | ! [SY2307: name,SY2308: pi] :
                ( ~ ( late_transitions @ SY2306 @ ( late_FreeR @ ( late_OutputR @ SV443 @ SY2307 ) @ SY2308 ) )
                | ( late_transitions @ ( par @ SV197 @ SY2306 ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ SV687 @ SV616 @ SY2307 ) @ SY2308 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1844]) ).

thf(2082,plain,
    ! [SV447: name,SV203: name] :
      ( ( ( ~ ( ( fresh_717452603ubject @ SV203 @ ( late_InputS @ SV447 ) )
              | ( fresh_name_name @ SV203 @ SV447 ) ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_717452603ubject @ SV203 @ ( late_InputS @ SV447 ) )
              | ~ ( fresh_name_name @ SV203 @ SV447 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1847]) ).

thf(2083,plain,
    ! [SV688: pi,SV619: name,SV448: late_subject,SV204: list_P227219501e_name] :
      ( ( ( perm_n414416632sidual @ SV204 @ ( late_BoundR @ SV448 @ SV619 @ SV688 ) )
        = ( late_BoundR @ ( perm_n1559866809ubject @ SV204 @ SV448 ) @ ( perm_name_name @ SV204 @ SV619 ) @ ( perm_name_pi @ SV204 @ SV688 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1849]) ).

thf(2084,plain,
    ! [SV620: name,SV449: name,SV205: list_P227219501e_name] :
      ( ( ~ ( ( ( perm_name_name @ SV205 @ SV449 )
              = ( perm_name_name @ SV205 @ SV620 ) )
            | ( SV449 = SV620 ) )
        | ~ ( ( ( perm_name_name @ SV205 @ SV449 )
             != ( perm_name_name @ SV205 @ SV620 ) )
            | ( SV449 != SV620 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1850]) ).

thf(2085,plain,
    ! [SV620: name,SV449: name,SV205: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV205 @ SV449 )
          = ( perm_name_name @ SV205 @ SV620 ) )
        = ( SV449 = SV620 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1850]) ).

thf(2086,plain,
    ! [SV689: pi,SV450: late_freeRes,SV206: pi] :
      ( ( ( ~ ( late_transitions @ SV206 @ ( late_FreeR @ SV450 @ SV689 ) ) )
        = $true )
      | ( ( ! [SY1998: name] :
              ( ~ ( fresh_name_pi @ SY1998 @ SV206 )
              | ( fresh_1641682979reeRes @ SY1998 @ SV450 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1851]) ).

thf(2087,plain,
    ! [SV207: late_freeRes > $o] :
      ( ( ( ~ ( SV207 @ late_TauR ) )
        = $true )
      | ( ( ! [SY1568: late_freeRes] : ( SV207 @ SY1568 ) )
        = $true )
      | ( ( SV207 @ ( late_OutputR @ ( sK62_Name1 @ SV207 ) @ ( sK63_SY1045 @ SV207 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1852]) ).

thf(2088,plain,
    ! [SV690: name,SV621: late_subject,SV452: pi,SV209: pi] :
      ( ( ! [SY2309: set_Pr1834926343_pi_pi] :
            ( ~ ( strong2129052853vative @ SV209 @ SV452 @ SV621 @ SV690 @ SY2309 )
            | ~ ( eqvt_pi @ SY2309 )
            | ! [SY2310: list_P227219501e_name] : ( strong2129052853vative @ ( perm_name_pi @ SY2310 @ SV209 ) @ ( perm_name_pi @ SY2310 @ SV452 ) @ ( perm_n1559866809ubject @ SY2310 @ SV621 ) @ ( perm_name_name @ SY2310 @ SV690 ) @ SY2309 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1854]) ).

thf(2089,plain,
    ! [SV691: name,SV453: name] :
      ( ( ( fresh_name_name @ SV453 @ SV691 )
        = ( SV453 != SV691 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1855]) ).

thf(2090,plain,
    ! [SV454: late_subject,SV213: late_subject] :
      ( ( ( SV213 = SV454 )
        = $false )
      | ( ( ! [SY2004: list_P227219501e_name] :
              ( ( perm_n1559866809ubject @ SY2004 @ SV213 )
              = ( perm_n1559866809ubject @ SY2004 @ SV454 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1857]) ).

thf(2091,plain,
    ! [SV455: late_freeRes,SV214: late_freeRes] :
      ( ( ( SV214 = SV455 )
        = $false )
      | ( ( ! [SY2005: list_P227219501e_name] :
              ( ( perm_n336613537reeRes @ SY2005 @ SV214 )
              = ( perm_n336613537reeRes @ SY2005 @ SV455 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1858]) ).

thf(2092,plain,
    ! [SV456: pi_Rep,SV215: pi_Rep] :
      ( ( ( SV215 = SV456 )
        = $false )
      | ( ( ! [SY2006: list_P227219501e_name] :
              ( ( perm_name_pi_Rep @ SY2006 @ SV215 )
              = ( perm_name_pi_Rep @ SY2006 @ SV456 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1859]) ).

thf(2093,plain,
    ! [SV457: name,SV216: name] :
      ( ( ( SV216 = SV457 )
        = $false )
      | ( ( ! [SY2007: list_P227219501e_name] :
              ( ( perm_name_name @ SY2007 @ SV216 )
              = ( perm_name_name @ SY2007 @ SV457 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1860]) ).

thf(2094,plain,
    ! [SV692: product_prod_pi_pi,SV458: name,SV217: name] :
      ( ( ( ~ ( fresh_1376661020_pi_pi @ SV217 @ ( produc235456326_pi_pi @ SV458 @ SV692 ) ) )
        = $true )
      | ( ( fresh_name_name @ SV217 @ SV458 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1861]) ).

thf(2095,plain,
    ! [SV459: name,SV218: name] :
      ( ( ( ~ ( ( ( late_InputS @ SV218 )
                = ( late_InputS @ SV459 ) )
              | ( SV218 = SV459 ) ) )
        = $true )
      | ( ( ~ ( ( ( late_InputS @ SV218 )
               != ( late_InputS @ SV459 ) )
              | ( SV218 != SV459 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1862]) ).

thf(2096,plain,
    ! [SV693: product_unit,SV221: product_unit > $o] :
      ( ( ( SV221 @ SV693 )
        = $true )
      | ( ( SV221 @ product_Unity )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1865]) ).

thf(2097,plain,
    ! [SV694: name,SV461: produc367475239e_name] :
      ( ( ( swap_name2 @ SV461 @ SV694 )
        = ( swap_name @ SV461 @ SV694 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1866]) ).

thf(2098,plain,
    ! [SV624: pi,SV462: name,SV224: name] :
      ( ( ~ ( ( fresh_name_pi @ SV224 @ ( res @ SV462 @ SV624 ) )
            | ( fresh_543891186ion_pi @ SV224 @ ( abs_fun_name_pi @ SV462 @ SV624 ) ) )
        | ~ ( ~ ( fresh_name_pi @ SV224 @ ( res @ SV462 @ SV624 ) )
            | ~ ( fresh_543891186ion_pi @ SV224 @ ( abs_fun_name_pi @ SV462 @ SV624 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1868]) ).

thf(2099,plain,
    ! [SV624: pi,SV462: name,SV224: name] :
      ( ( ( fresh_name_pi @ SV224 @ ( res @ SV462 @ SV624 ) )
        = ( fresh_543891186ion_pi @ SV224 @ ( abs_fun_name_pi @ SV462 @ SV624 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1868]) ).

thf(2100,plain,
    ! [SV227: pi] :
      ( ( ( strong2129052853vative @ SV227 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ ( par @ ( subs @ p2 @ ya @ c ) @ q2 ) ) @ ( late_BoundOutputS @ ab ) @ y @ rel )
        = $false )
      | ( ( late_transitions @ ( par @ p @ ( res @ x @ q ) ) @ ( late_BoundR @ ( late_BoundOutputS @ ab ) @ y @ SV227 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1869]) ).

thf(2101,plain,
    ! [SV228: pi > late_residual > $o] :
      ( ( ( ~ ( fresh_name_pi @ ( sK35_SY1011 @ SV228 ) @ ( sK37_SY1016 @ SV228 ) ) )
        = $false )
      | ( ( ~ ( SV228 @ ( sK33_SY1010 @ SV228 ) @ ( late_FreeR @ ( sK31_FreeRes2 @ SV228 ) @ ( sK32_SY1008 @ SV228 ) ) )
          | ! [SY1593: pi,SY1594: late_residual] : ( SV228 @ SY1593 @ SY1594 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1870]) ).

thf(2102,plain,
    ! [SV228: pi > late_residual > $o] :
      ( ( ( ~ ~ ( ~ ( fresh_717452603ubject @ ( sK35_SY1011 @ SV228 ) @ ( sK34_Subject2 @ SV228 ) )
                | ~ ~ ( SV228 @ ( sK37_SY1016 @ SV228 ) @ ( late_BoundR @ ( sK34_Subject2 @ SV228 ) @ ( sK35_SY1011 @ SV228 ) @ ( sK36_SY1014 @ SV228 ) ) ) ) )
        = $false )
      | ( ( ~ ( SV228 @ ( sK33_SY1010 @ SV228 ) @ ( late_FreeR @ ( sK31_FreeRes2 @ SV228 ) @ ( sK32_SY1008 @ SV228 ) ) )
          | ! [SY1593: pi,SY1594: late_residual] : ( SV228 @ SY1593 @ SY1594 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1870]) ).

thf(2103,plain,
    ! [SV695: name,SV625: late_subject,SV465: pi,SV229: pi] :
      ( ( ! [SY2311: pi] :
            ( ~ ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SY2311 ) )
            | ~ ( ( ( par @ SV229 @ SV465 )
                 != ( par @ ( sK108_P5 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SY2311 )
                       != ( late_BoundR @ ( sK109_SY1098 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                      | ~ ~ ( ~ ( late_transitions @ ( sK108_P5 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                  | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                        | ~ ( fresh_717452603ubject @ ( sK110_SY1102 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) )
            | ~ ( ( ( par @ SV229 @ SV465 )
                 != ( par @ ( sK107_SY1097 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SY2311 )
                       != ( late_BoundR @ ( sK104_SY1088 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                      | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                  | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                        | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SY2311 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1871]) ).

thf(2104,plain,
    ! [SV696: name,SV626: late_subject,SV466: pi,SV230: pi] :
      ( ( ! [SY2312: pi] :
            ( ~ ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SV626 @ SV696 @ SY2312 ) )
            | ~ ( fresh_name_pi @ SV696 @ SV230 )
            | ~ ( fresh_name_pi @ SV696 @ SV466 )
            | ! [SY2313: pi > $o] :
                ( ~ ( ~ ( late_transitions @ SV230 @ ( late_BoundR @ SV626 @ SV696 @ ( sK95_P4 @ SY2313 @ SY2312 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
                    | ~ ~ ( SY2313 @ ( par @ ( sK95_P4 @ SY2313 @ SY2312 @ SV696 @ SV626 @ SV466 @ SV230 ) @ SV466 ) ) )
                | ~ ( ~ ( late_transitions @ SV466 @ ( late_BoundR @ SV626 @ SV696 @ ( sK94_Q4 @ SY2313 @ SY2312 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
                    | ~ ~ ( SY2313 @ ( par @ SV230 @ ( sK94_Q4 @ SY2313 @ SY2312 @ SV696 @ SV626 @ SV466 @ SV230 ) ) ) )
                | ( SY2313 @ SY2312 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1872]) ).

thf(2105,plain,
    ! [SV231: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( ~ ( fresh_1376661020_pi_pi @ ( sK21_SY993 @ SV231 ) @ ( sK23_SY998 @ SV231 ) ) )
        = $false )
      | ( ( ~ ( SV231 @ ( sK19_SY992 @ SV231 ) @ ( late_FreeR @ ( sK17_FreeRes2 @ SV231 ) @ ( sK18_SY990 @ SV231 ) ) )
          | ! [SY1604: produc1141751126_pi_pi,SY1605: late_residual] : ( SV231 @ SY1604 @ SY1605 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1873]) ).

thf(2106,plain,
    ! [SV231: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( ~ ~ ( ~ ( fresh_717452603ubject @ ( sK21_SY993 @ SV231 ) @ ( sK20_Subject2 @ SV231 ) )
                | ~ ~ ( SV231 @ ( sK23_SY998 @ SV231 ) @ ( late_BoundR @ ( sK20_Subject2 @ SV231 ) @ ( sK21_SY993 @ SV231 ) @ ( sK22_SY996 @ SV231 ) ) ) ) )
        = $false )
      | ( ( ~ ( SV231 @ ( sK19_SY992 @ SV231 ) @ ( late_FreeR @ ( sK17_FreeRes2 @ SV231 ) @ ( sK18_SY990 @ SV231 ) ) )
          | ! [SY1604: produc1141751126_pi_pi,SY1605: late_residual] : ( SV231 @ SY1604 @ SY1605 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1873]) ).

thf(2107,plain,
    ! [SV697: name,SV627: late_subject,SV467: pi,SV232: name] :
      ( ( ! [SY2314: pi] :
            ( ~ ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SY2314 ) )
            | ~ ( ( ( res @ SV232 @ SV467 )
                 != ( res @ ( sK71_SY1059 @ SY2314 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SY2314 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                | ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SY2314 )
                       != ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SY2314 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SY2314 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SY2314 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                      | ~ ~ ( ~ ( late_transitions @ ( sK69_P5 @ SY2314 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SY2314 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SY2314 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SY2314 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                            | ~ ( ( ( sK70_SY1056 @ SY2314 @ SV697 @ SV627 @ SV467 @ SV232 )
                                 != ( sK71_SY1059 @ SY2314 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) )
            | ~ ( ( ( res @ SV232 @ SV467 )
                 != ( res @ ( sK68_SY1055 @ SY2314 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SY2314 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                | ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SY2314 )
                       != ( late_BoundR @ ( sK65_SY1046 @ SY2314 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SY2314 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SY2314 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SY2314 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
                      | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SY2314 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SY2314 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SY2314 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SY2314 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                            | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SY2314 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SY2314 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                  | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SY2314 @ SV697 @ SV627 @ SV467 @ SV232 )
                                             != ( sK66_SY1050 @ SY2314 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                        | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SY2314 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SY2314 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                              | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SY2314 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SY2314 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1874]) ).

thf(2108,plain,
    ! [SV468: list_P227219501e_name,SV233: $o] :
      ( ( ~ ( ~ SV233
            | ! [SY2020: late_freeRes,SY2021: late_freeRes] :
                ( ( perm_n336613537reeRes @ SV468 @ ( if_Late_freeRes @ SV233 @ SY2020 @ SY2021 ) )
                = ( perm_n336613537reeRes @ SV468 @ SY2020 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1875]) ).

thf(2109,plain,
    ! [SV468: list_P227219501e_name,SV233: $o] :
      ( ( ~ ( SV233
            | ! [SY2022: late_freeRes,SY2023: late_freeRes] :
                ( ( perm_n336613537reeRes @ SV468 @ ( if_Late_freeRes @ SV233 @ SY2022 @ SY2023 ) )
                = ( perm_n336613537reeRes @ SV468 @ SY2023 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1875]) ).

thf(2110,plain,
    ! [SV469: list_P227219501e_name] :
      ( ( ~ ( ~ $true
            | ! [SY2024: late_freeRes,SY2025: late_freeRes] :
                ( ( perm_n336613537reeRes @ SV469 @ ( if_Late_freeRes @ $true @ SY2024 @ SY2025 ) )
                = ( perm_n336613537reeRes @ SV469 @ SY2024 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1876]) ).

thf(2111,plain,
    ! [SV469: list_P227219501e_name] :
      ( ( ~ ( $true
            | ! [SY2026: late_freeRes,SY2027: late_freeRes] :
                ( ( perm_n336613537reeRes @ SV469 @ ( if_Late_freeRes @ $true @ SY2026 @ SY2027 ) )
                = ( perm_n336613537reeRes @ SV469 @ SY2027 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1876]) ).

thf(2112,plain,
    ! [SV470: list_P227219501e_name] :
      ( ( ~ ( ~ $false
            | ! [SY2028: late_freeRes,SY2029: late_freeRes] :
                ( ( perm_n336613537reeRes @ SV470 @ ( if_Late_freeRes @ $false @ SY2028 @ SY2029 ) )
                = ( perm_n336613537reeRes @ SV470 @ SY2028 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1877]) ).

thf(2113,plain,
    ! [SV470: list_P227219501e_name] :
      ( ( ~ ( $false
            | ! [SY2030: late_freeRes,SY2031: late_freeRes] :
                ( ( perm_n336613537reeRes @ SV470 @ ( if_Late_freeRes @ $false @ SY2030 @ SY2031 ) )
                = ( perm_n336613537reeRes @ SV470 @ SY2031 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1877]) ).

thf(2114,plain,
    ! [SV628: pi,SV471: late_freeRes,SV234: name] :
      ( ( ~ ( ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SV628 ) )
            | ~ ( ~ ( fresh_1641682979reeRes @ SV234 @ SV471 )
                | ~ ( fresh_name_pi @ SV234 @ SV628 ) ) )
        | ~ ( ~ ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SV628 ) )
            | ~ ~ ( ~ ( fresh_1641682979reeRes @ SV234 @ SV471 )
                  | ~ ( fresh_name_pi @ SV234 @ SV628 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1878]) ).

thf(2115,plain,
    ! [SV628: pi,SV471: late_freeRes,SV234: name] :
      ( ( ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SV628 ) )
        = ( ~ ( ~ ( fresh_1641682979reeRes @ SV234 @ SV471 )
              | ~ ( fresh_name_pi @ SV234 @ SV628 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1878]) ).

thf(2116,plain,
    ! [SV472: list_P227219501e_name,SV235: $o] :
      ( ( ~ ( ~ SV235
            | ! [SY2033: pi,SY2034: pi] :
                ( ( perm_name_pi @ SV472 @ ( if_pi @ SV235 @ SY2033 @ SY2034 ) )
                = ( perm_name_pi @ SV472 @ SY2033 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1879]) ).

thf(2117,plain,
    ! [SV472: list_P227219501e_name,SV235: $o] :
      ( ( ~ ( SV235
            | ! [SY2035: pi,SY2036: pi] :
                ( ( perm_name_pi @ SV472 @ ( if_pi @ SV235 @ SY2035 @ SY2036 ) )
                = ( perm_name_pi @ SV472 @ SY2036 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1879]) ).

thf(2118,plain,
    ! [SV473: list_P227219501e_name] :
      ( ( ~ ( ~ $true
            | ! [SY2037: pi,SY2038: pi] :
                ( ( perm_name_pi @ SV473 @ ( if_pi @ $true @ SY2037 @ SY2038 ) )
                = ( perm_name_pi @ SV473 @ SY2037 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1880]) ).

thf(2119,plain,
    ! [SV473: list_P227219501e_name] :
      ( ( ~ ( $true
            | ! [SY2039: pi,SY2040: pi] :
                ( ( perm_name_pi @ SV473 @ ( if_pi @ $true @ SY2039 @ SY2040 ) )
                = ( perm_name_pi @ SV473 @ SY2040 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1880]) ).

thf(2120,plain,
    ! [SV474: list_P227219501e_name] :
      ( ( ~ ( ~ $false
            | ! [SY2041: pi,SY2042: pi] :
                ( ( perm_name_pi @ SV474 @ ( if_pi @ $false @ SY2041 @ SY2042 ) )
                = ( perm_name_pi @ SV474 @ SY2041 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1881]) ).

thf(2121,plain,
    ! [SV474: list_P227219501e_name] :
      ( ( ~ ( $false
            | ! [SY2043: pi,SY2044: pi] :
                ( ( perm_name_pi @ SV474 @ ( if_pi @ $false @ SY2043 @ SY2044 ) )
                = ( perm_name_pi @ SV474 @ SY2044 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1881]) ).

thf(2122,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ~ ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
                               != ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
          | ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                           != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
          | ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1882]) ).

thf(2123,plain,
    ! [SV476: $o,SV237: list_P227219501e_name] :
      ( ( ~ ( ~ ( perm_name_o @ SV237 @ SV476 )
            | ! [SY2046: late_freeRes,SY2047: late_freeRes] :
                ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ SV476 @ SY2046 @ SY2047 ) )
                = ( perm_n336613537reeRes @ SV237 @ SY2046 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1883]) ).

thf(2124,plain,
    ! [SV476: $o,SV237: list_P227219501e_name] :
      ( ( ~ ( ( perm_name_o @ SV237 @ SV476 )
            | ! [SY2048: late_freeRes,SY2049: late_freeRes] :
                ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ SV476 @ SY2048 @ SY2049 ) )
                = ( perm_n336613537reeRes @ SV237 @ SY2049 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1883]) ).

thf(2125,plain,
    ! [SV237: list_P227219501e_name] :
      ( ( ~ ( ~ ( perm_name_o @ SV237 @ $true )
            | ! [SX0: late_freeRes,SX1: late_freeRes] :
                ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ $true @ SX0 @ SX1 ) )
                = ( perm_n336613537reeRes @ SV237 @ SX0 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1884]) ).

thf(2126,plain,
    ! [SV237: list_P227219501e_name] :
      ( ( ~ ( ( perm_name_o @ SV237 @ $true )
            | ! [SX0: late_freeRes,SX1: late_freeRes] :
                ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ $true @ SX0 @ SX1 ) )
                = ( perm_n336613537reeRes @ SV237 @ SX1 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1884]) ).

thf(2127,plain,
    ! [SV237: list_P227219501e_name] :
      ( ( ~ ( ~ ( perm_name_o @ SV237 @ $false )
            | ! [SX0: late_freeRes,SX1: late_freeRes] :
                ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ $false @ SX0 @ SX1 ) )
                = ( perm_n336613537reeRes @ SV237 @ SX0 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1885]) ).

thf(2128,plain,
    ! [SV237: list_P227219501e_name] :
      ( ( ~ ( ( perm_name_o @ SV237 @ $false )
            | ! [SX0: late_freeRes,SX1: late_freeRes] :
                ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ $false @ SX0 @ SX1 ) )
                = ( perm_n336613537reeRes @ SV237 @ SX1 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1885]) ).

thf(2129,plain,
    ! [SV630: name,SV477: name,SV238: name] :
      ( ( ~ ( ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SV630 ) )
            | ~ ( ~ ( fresh_name_name @ SV238 @ SV477 )
                | ~ ( fresh_name_name @ SV238 @ SV630 ) ) )
        | ~ ( ~ ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SV630 ) )
            | ~ ~ ( ~ ( fresh_name_name @ SV238 @ SV477 )
                  | ~ ( fresh_name_name @ SV238 @ SV630 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1886]) ).

thf(2130,plain,
    ! [SV630: name,SV477: name,SV238: name] :
      ( ( ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SV630 ) )
        = ( ~ ( ~ ( fresh_name_name @ SV238 @ SV477 )
              | ~ ( fresh_name_name @ SV238 @ SV630 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1886]) ).

thf(2131,plain,
    ! [SV478: $o,SV239: list_P227219501e_name] :
      ( ( ~ ( ~ ( perm_name_o @ SV239 @ SV478 )
            | ! [SY2051: pi_Rep,SY2052: pi_Rep] :
                ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ SV478 @ SY2051 @ SY2052 ) )
                = ( perm_name_pi_Rep @ SV239 @ SY2051 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1887]) ).

thf(2132,plain,
    ! [SV478: $o,SV239: list_P227219501e_name] :
      ( ( ~ ( ( perm_name_o @ SV239 @ SV478 )
            | ! [SY2053: pi_Rep,SY2054: pi_Rep] :
                ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ SV478 @ SY2053 @ SY2054 ) )
                = ( perm_name_pi_Rep @ SV239 @ SY2054 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1887]) ).

thf(2133,plain,
    ! [SV239: list_P227219501e_name] :
      ( ( ~ ( ~ ( perm_name_o @ SV239 @ $true )
            | ! [SX0: pi_Rep,SX1: pi_Rep] :
                ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ $true @ SX0 @ SX1 ) )
                = ( perm_name_pi_Rep @ SV239 @ SX0 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1888]) ).

thf(2134,plain,
    ! [SV239: list_P227219501e_name] :
      ( ( ~ ( ( perm_name_o @ SV239 @ $true )
            | ! [SX0: pi_Rep,SX1: pi_Rep] :
                ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ $true @ SX0 @ SX1 ) )
                = ( perm_name_pi_Rep @ SV239 @ SX1 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1888]) ).

thf(2135,plain,
    ! [SV239: list_P227219501e_name] :
      ( ( ~ ( ~ ( perm_name_o @ SV239 @ $false )
            | ! [SX0: pi_Rep,SX1: pi_Rep] :
                ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ $false @ SX0 @ SX1 ) )
                = ( perm_name_pi_Rep @ SV239 @ SX0 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1889]) ).

thf(2136,plain,
    ! [SV239: list_P227219501e_name] :
      ( ( ~ ( ( perm_name_o @ SV239 @ $false )
            | ! [SX0: pi_Rep,SX1: pi_Rep] :
                ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ $false @ SX0 @ SX1 ) )
                = ( perm_name_pi_Rep @ SV239 @ SX1 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1889]) ).

thf(2137,plain,
    ! [SV698: list_P227219501e_name,SV631: produc367475239e_name,SV479: list_P227219501e_name,SV240: produc367475239e_name] :
      ( ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
          = ( cons_P1213805021e_name @ SV631 @ SV698 ) )
        = ( ~ ( ( SV240 != SV631 )
              | ( SV479 != SV698 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1890]) ).

thf(2138,plain,
    ! [SV241: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( ~ ( fresh_1376661020_pi_pi @ ( sK49_SY1029 @ SV241 ) @ ( sK51_SY1034 @ SV241 ) ) )
        = $false )
      | ( ( ~ ( SV241 @ ( sK47_SY1028 @ SV241 ) @ ( late_FreeR @ ( sK45_FreeRes2 @ SV241 ) @ ( sK46_SY1026 @ SV241 ) ) )
          | ! [SY1639: produc1141751126_pi_pi,SY1640: late_residual] : ( SV241 @ SY1639 @ SY1640 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1891]) ).

thf(2139,plain,
    ! [SV241: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( ~ ~ ( ~ ( fresh_717452603ubject @ ( sK49_SY1029 @ SV241 ) @ ( sK48_Subject2 @ SV241 ) )
                | ~ ~ ( SV241 @ ( sK51_SY1034 @ SV241 ) @ ( late_BoundR @ ( sK48_Subject2 @ SV241 ) @ ( sK49_SY1029 @ SV241 ) @ ( sK50_SY1032 @ SV241 ) ) ) ) )
        = $false )
      | ( ( ~ ( SV241 @ ( sK47_SY1028 @ SV241 ) @ ( late_FreeR @ ( sK45_FreeRes2 @ SV241 ) @ ( sK46_SY1026 @ SV241 ) ) )
          | ! [SY1639: produc1141751126_pi_pi,SY1640: late_residual] : ( SV241 @ SY1639 @ SY1640 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1891]) ).

thf(2140,plain,
    ! [SV632: pi,SV480: pi,SV242: name] :
      ( ( ~ ( ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SV632 ) )
            | ~ ( ~ ( fresh_name_pi @ SV242 @ SV480 )
                | ~ ( fresh_name_pi @ SV242 @ SV632 ) ) )
        | ~ ( ~ ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SV632 ) )
            | ~ ~ ( ~ ( fresh_name_pi @ SV242 @ SV480 )
                  | ~ ( fresh_name_pi @ SV242 @ SV632 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1892]) ).

thf(2141,plain,
    ! [SV632: pi,SV480: pi,SV242: name] :
      ( ( ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SV632 ) )
        = ( ~ ( ~ ( fresh_name_pi @ SV242 @ SV480 )
              | ~ ( fresh_name_pi @ SV242 @ SV632 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1892]) ).

thf(2142,plain,
    ! [SV699: name,SV633: name,SV481: name,SV243: name] :
      ( ( ( ( late_OutputR @ SV243 @ SV481 )
          = ( late_OutputR @ SV633 @ SV699 ) )
        = ( ~ ( ( SV243 != SV633 )
              | ( SV481 != SV699 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1893]) ).

thf(2143,plain,
    ! [SV244: product_unit > late_residual > $o] :
      ( ( ( ~ ( fresh_1143631827t_unit @ ( sK56_SY1038 @ SV244 ) @ ( sK58_SY1043 @ SV244 ) ) )
        = $false )
      | ( ( ~ ( SV244 @ ( sK54_SY1037 @ SV244 ) @ ( late_FreeR @ ( sK52_FreeRes2 @ SV244 ) @ ( sK53_SY1035 @ SV244 ) ) )
          | ! [SY1646: product_unit,SY1647: late_residual] : ( SV244 @ SY1646 @ SY1647 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1894]) ).

thf(2144,plain,
    ! [SV244: product_unit > late_residual > $o] :
      ( ( ( ~ ~ ( ~ ( fresh_717452603ubject @ ( sK56_SY1038 @ SV244 ) @ ( sK55_Subject2 @ SV244 ) )
                | ~ ~ ( SV244 @ ( sK58_SY1043 @ SV244 ) @ ( late_BoundR @ ( sK55_Subject2 @ SV244 ) @ ( sK56_SY1038 @ SV244 ) @ ( sK57_SY1041 @ SV244 ) ) ) ) )
        = $false )
      | ( ( ~ ( SV244 @ ( sK54_SY1037 @ SV244 ) @ ( late_FreeR @ ( sK52_FreeRes2 @ SV244 ) @ ( sK53_SY1035 @ SV244 ) ) )
          | ! [SY1646: product_unit,SY1647: late_residual] : ( SV244 @ SY1646 @ SY1647 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1894]) ).

thf(2145,plain,
    ! [SV245: name > late_residual > $o] :
      ( ( ( ~ ( fresh_name_name @ ( sK14_SY984 @ SV245 ) @ ( sK16_SY989 @ SV245 ) ) )
        = $false )
      | ( ( ~ ( SV245 @ ( sK12_SY983 @ SV245 ) @ ( late_FreeR @ ( sK10_FreeRes2 @ SV245 ) @ ( sK11_SY981 @ SV245 ) ) )
          | ! [SY1648: name,SY1649: late_residual] : ( SV245 @ SY1648 @ SY1649 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1895]) ).

thf(2146,plain,
    ! [SV245: name > late_residual > $o] :
      ( ( ( ~ ~ ( ~ ( fresh_717452603ubject @ ( sK14_SY984 @ SV245 ) @ ( sK13_Subject2 @ SV245 ) )
                | ~ ~ ( SV245 @ ( sK16_SY989 @ SV245 ) @ ( late_BoundR @ ( sK13_Subject2 @ SV245 ) @ ( sK14_SY984 @ SV245 ) @ ( sK15_SY987 @ SV245 ) ) ) ) )
        = $false )
      | ( ( ~ ( SV245 @ ( sK12_SY983 @ SV245 ) @ ( late_FreeR @ ( sK10_FreeRes2 @ SV245 ) @ ( sK11_SY981 @ SV245 ) ) )
          | ! [SY1648: name,SY1649: late_residual] : ( SV245 @ SY1648 @ SY1649 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1895]) ).

thf(2147,plain,
    ! [SV634: list_pi,SV482: pi,SV246: name] :
      ( ( ~ ( ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SV634 ) )
            | ~ ( ~ ( fresh_name_list_pi @ SV246 @ SV634 )
                | ~ ( fresh_name_pi @ SV246 @ SV482 ) ) )
        | ~ ( ~ ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SV634 ) )
            | ~ ~ ( ~ ( fresh_name_list_pi @ SV246 @ SV634 )
                  | ~ ( fresh_name_pi @ SV246 @ SV482 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1896]) ).

thf(2148,plain,
    ! [SV634: list_pi,SV482: pi,SV246: name] :
      ( ( ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SV634 ) )
        = ( ~ ( ~ ( fresh_name_list_pi @ SV246 @ SV634 )
              | ~ ( fresh_name_pi @ SV246 @ SV482 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1896]) ).

thf(2149,plain,
    ! [SV483: list_P227219501e_name,SV247: $o] :
      ( ( ~ ( ~ SV247
            | ! [SY2061: name,SY2062: name] :
                ( ( perm_name_name @ SV483 @ ( if_name @ SV247 @ SY2061 @ SY2062 ) )
                = ( perm_name_name @ SV483 @ SY2061 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1897]) ).

thf(2150,plain,
    ! [SV483: list_P227219501e_name,SV247: $o] :
      ( ( ~ ( SV247
            | ! [SY2063: name,SY2064: name] :
                ( ( perm_name_name @ SV483 @ ( if_name @ SV247 @ SY2063 @ SY2064 ) )
                = ( perm_name_name @ SV483 @ SY2064 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1897]) ).

thf(2151,plain,
    ! [SV484: list_P227219501e_name] :
      ( ( ~ ( ~ $true
            | ! [SY2065: name,SY2066: name] :
                ( ( perm_name_name @ SV484 @ ( if_name @ $true @ SY2065 @ SY2066 ) )
                = ( perm_name_name @ SV484 @ SY2065 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1898]) ).

thf(2152,plain,
    ! [SV484: list_P227219501e_name] :
      ( ( ~ ( $true
            | ! [SY2067: name,SY2068: name] :
                ( ( perm_name_name @ SV484 @ ( if_name @ $true @ SY2067 @ SY2068 ) )
                = ( perm_name_name @ SV484 @ SY2068 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1898]) ).

thf(2153,plain,
    ! [SV485: list_P227219501e_name] :
      ( ( ~ ( ~ $false
            | ! [SY2069: name,SY2070: name] :
                ( ( perm_name_name @ SV485 @ ( if_name @ $false @ SY2069 @ SY2070 ) )
                = ( perm_name_name @ SV485 @ SY2069 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1899]) ).

thf(2154,plain,
    ! [SV485: list_P227219501e_name] :
      ( ( ~ ( $false
            | ! [SY2071: name,SY2072: name] :
                ( ( perm_name_name @ SV485 @ ( if_name @ $false @ SY2071 @ SY2072 ) )
                = ( perm_name_name @ SV485 @ SY2072 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1899]) ).

thf(2155,plain,
    ! [SV486: $o,SV248: list_P227219501e_name] :
      ( ( ~ ( ~ ( perm_name_o @ SV248 @ SV486 )
            | ! [SY2073: late_subject,SY2074: late_subject] :
                ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ SV486 @ SY2073 @ SY2074 ) )
                = ( perm_n1559866809ubject @ SV248 @ SY2073 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1900]) ).

thf(2156,plain,
    ! [SV486: $o,SV248: list_P227219501e_name] :
      ( ( ~ ( ( perm_name_o @ SV248 @ SV486 )
            | ! [SY2075: late_subject,SY2076: late_subject] :
                ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ SV486 @ SY2075 @ SY2076 ) )
                = ( perm_n1559866809ubject @ SV248 @ SY2076 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1900]) ).

thf(2157,plain,
    ! [SV248: list_P227219501e_name] :
      ( ( ~ ( ~ ( perm_name_o @ SV248 @ $true )
            | ! [SX0: late_subject,SX1: late_subject] :
                ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ $true @ SX0 @ SX1 ) )
                = ( perm_n1559866809ubject @ SV248 @ SX0 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1901]) ).

thf(2158,plain,
    ! [SV248: list_P227219501e_name] :
      ( ( ~ ( ( perm_name_o @ SV248 @ $true )
            | ! [SX0: late_subject,SX1: late_subject] :
                ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ $true @ SX0 @ SX1 ) )
                = ( perm_n1559866809ubject @ SV248 @ SX1 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1901]) ).

thf(2159,plain,
    ! [SV248: list_P227219501e_name] :
      ( ( ~ ( ~ ( perm_name_o @ SV248 @ $false )
            | ! [SX0: late_subject,SX1: late_subject] :
                ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ $false @ SX0 @ SX1 ) )
                = ( perm_n1559866809ubject @ SV248 @ SX0 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1902]) ).

thf(2160,plain,
    ! [SV248: list_P227219501e_name] :
      ( ( ~ ( ( perm_name_o @ SV248 @ $false )
            | ! [SX0: late_subject,SX1: late_subject] :
                ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ $false @ SX0 @ SX1 ) )
                = ( perm_n1559866809ubject @ SV248 @ SX1 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1902]) ).

thf(2161,plain,
    ! [SV487: $o,SV249: list_P227219501e_name] :
      ( ( ~ ( ~ ( perm_name_o @ SV249 @ SV487 )
            | ! [SY2077: pi,SY2078: pi] :
                ( ( perm_name_pi @ SV249 @ ( if_pi @ SV487 @ SY2077 @ SY2078 ) )
                = ( perm_name_pi @ SV249 @ SY2077 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1903]) ).

thf(2162,plain,
    ! [SV487: $o,SV249: list_P227219501e_name] :
      ( ( ~ ( ( perm_name_o @ SV249 @ SV487 )
            | ! [SY2079: pi,SY2080: pi] :
                ( ( perm_name_pi @ SV249 @ ( if_pi @ SV487 @ SY2079 @ SY2080 ) )
                = ( perm_name_pi @ SV249 @ SY2080 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1903]) ).

thf(2163,plain,
    ! [SV249: list_P227219501e_name] :
      ( ( ~ ( ~ ( perm_name_o @ SV249 @ $true )
            | ! [SX0: pi,SX1: pi] :
                ( ( perm_name_pi @ SV249 @ ( if_pi @ $true @ SX0 @ SX1 ) )
                = ( perm_name_pi @ SV249 @ SX0 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1904]) ).

thf(2164,plain,
    ! [SV249: list_P227219501e_name] :
      ( ( ~ ( ( perm_name_o @ SV249 @ $true )
            | ! [SX0: pi,SX1: pi] :
                ( ( perm_name_pi @ SV249 @ ( if_pi @ $true @ SX0 @ SX1 ) )
                = ( perm_name_pi @ SV249 @ SX1 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1904]) ).

thf(2165,plain,
    ! [SV249: list_P227219501e_name] :
      ( ( ~ ( ~ ( perm_name_o @ SV249 @ $false )
            | ! [SX0: pi,SX1: pi] :
                ( ( perm_name_pi @ SV249 @ ( if_pi @ $false @ SX0 @ SX1 ) )
                = ( perm_name_pi @ SV249 @ SX0 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1905]) ).

thf(2166,plain,
    ! [SV249: list_P227219501e_name] :
      ( ( ~ ( ( perm_name_o @ SV249 @ $false )
            | ! [SX0: pi,SX1: pi] :
                ( ( perm_name_pi @ SV249 @ ( if_pi @ $false @ SX0 @ SX1 ) )
                = ( perm_name_pi @ SV249 @ SX1 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1905]) ).

thf(2167,plain,
    ! [SV700: late_subject,SV635: pi,SV488: name,SV250: name] :
      ( ( ! [SY2315: name] :
            ~ ( ~ ! [SY2316: pi] :
                    ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SY2315 @ SY2316 ) )
                    | ( SY2315 = SV250 )
                    | ( SY2315 = SV488 )
                    | ~ ( fresh_name_pi @ SY2315 @ SV635 )
                    | ( SV700
                      = ( late_InputS @ SV250 ) )
                    | ! [SY2317: late_subject > name > pi > $o] : ( SY2317 @ SV700 @ SY2315 @ SY2316 ) )
              | ~ ~ ( ~ ! [SY2318: pi] :
                          ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SY2315 @ SY2318 ) )
                          | ( SY2315 = SV250 )
                          | ( SY2315 = SV488 )
                          | ~ ( fresh_name_pi @ SY2315 @ SV635 )
                          | ( SY2318
                            = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SY2315 ) @ nil_Pr743626285e_name ) @ SV635 ) )
                          | ! [SY2319: late_subject > name > pi > $o] : ( SY2319 @ SV700 @ SY2315 @ SY2318 ) )
                    | ~ ! [SY2320: pi] :
                          ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SY2315 @ SY2320 ) )
                          | ( SY2315 = SV250 )
                          | ( SY2315 = SV488 )
                          | ~ ( fresh_name_pi @ SY2315 @ SV635 )
                          | ! [SY2321: late_subject > name > pi > $o] :
                              ( ~ ( SY2321 @ ( late_InputS @ SV250 ) @ SY2315 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SY2315 ) @ nil_Pr743626285e_name ) @ SV635 ) )
                              | ( SY2321 @ SV700 @ SY2315 @ SY2320 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1906]) ).

thf(2168,plain,
    ! [SV636: name,SV489: name,SV251: name] :
      ( ( ~ ( ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SV636 ) )
            | ~ ( ~ ( fresh_name_name @ SV251 @ SV489 )
                | ~ ( fresh_name_name @ SV251 @ SV636 ) ) )
        | ~ ( ~ ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SV636 ) )
            | ~ ~ ( ~ ( fresh_name_name @ SV251 @ SV489 )
                  | ~ ( fresh_name_name @ SV251 @ SV636 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1907]) ).

thf(2169,plain,
    ! [SV636: name,SV489: name,SV251: name] :
      ( ( ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SV636 ) )
        = ( ~ ( ~ ( fresh_name_name @ SV251 @ SV489 )
              | ~ ( fresh_name_name @ SV251 @ SV636 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1907]) ).

thf(2170,plain,
    ! [SV701: pi,SV637: late_freeRes,SV490: pi,SV252: name] :
      ( ( ~ ( late_transitions @ ( res @ SV252 @ SV490 ) @ ( late_FreeR @ SV637 @ SV701 ) )
        | ! [SY2322: pi > $o] :
            ( ~ ( ~ ( late_transitions @ SV490 @ ( late_FreeR @ SV637 @ ( sK117_P4 @ SY2322 @ SV701 @ SV637 @ SV490 @ SV252 ) ) )
                | ~ ~ ( ~ ( fresh_1641682979reeRes @ SV252 @ SV637 )
                      | ~ ~ ( SY2322 @ ( res @ SV252 @ ( sK117_P4 @ SY2322 @ SV701 @ SV637 @ SV490 @ SV252 ) ) ) ) )
            | ( SY2322 @ SV701 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1908]) ).

thf(2171,plain,
    ! [SV702: name,SV638: late_subject,SV491: pi,SV253: name] :
      ( ( ! [SY2323: pi] :
            ( ~ ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SY2323 ) )
            | ( SV702 = SV253 )
            | ~ ( fresh_name_pi @ SV702 @ SV491 )
            | ! [SY2324: late_subject > pi > $o] :
                ( ~ ( ~ ( late_transitions @ SV491 @ ( late_FreeR @ ( late_OutputR @ ( sK60_B2 @ SY2324 @ SY2323 @ SV702 @ SV638 @ SV491 @ SV253 ) @ SV253 ) @ ( sK61_SY1044 @ SY2324 @ SY2323 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
                    | ~ ~ ( ~ ( ( ( sK60_B2 @ SY2324 @ SY2323 @ SV702 @ SV638 @ SV491 @ SV253 )
                               != SV253 ) )
                          | ~ ~ ( ( SV638
                                 != ( late_BoundOutputS @ ( sK60_B2 @ SY2324 @ SY2323 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
                                | ~ ~ ( SY2324 @ ( late_BoundOutputS @ ( sK60_B2 @ SY2324 @ SY2323 @ SV702 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV702 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SY2324 @ SY2323 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) ) )
                | ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SY2324 @ SY2323 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
                    | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                          | ~ ~ ( SY2324 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SY2324 @ SY2323 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
                | ( SY2324 @ SV638 @ SY2323 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1909]) ).

thf(2172,plain,
    ! [SV492: list_P227219501e_name,SV254: $o] :
      ( ( ~ ( ~ SV254
            | ! [SY2098: late_subject,SY2099: late_subject] :
                ( ( perm_n1559866809ubject @ SV492 @ ( if_Late_subject @ SV254 @ SY2098 @ SY2099 ) )
                = ( perm_n1559866809ubject @ SV492 @ SY2098 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1910]) ).

thf(2173,plain,
    ! [SV492: list_P227219501e_name,SV254: $o] :
      ( ( ~ ( SV254
            | ! [SY2100: late_subject,SY2101: late_subject] :
                ( ( perm_n1559866809ubject @ SV492 @ ( if_Late_subject @ SV254 @ SY2100 @ SY2101 ) )
                = ( perm_n1559866809ubject @ SV492 @ SY2101 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1910]) ).

thf(2174,plain,
    ! [SV493: list_P227219501e_name] :
      ( ( ~ ( ~ $true
            | ! [SY2102: late_subject,SY2103: late_subject] :
                ( ( perm_n1559866809ubject @ SV493 @ ( if_Late_subject @ $true @ SY2102 @ SY2103 ) )
                = ( perm_n1559866809ubject @ SV493 @ SY2102 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1911]) ).

thf(2175,plain,
    ! [SV493: list_P227219501e_name] :
      ( ( ~ ( $true
            | ! [SY2104: late_subject,SY2105: late_subject] :
                ( ( perm_n1559866809ubject @ SV493 @ ( if_Late_subject @ $true @ SY2104 @ SY2105 ) )
                = ( perm_n1559866809ubject @ SV493 @ SY2105 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1911]) ).

thf(2176,plain,
    ! [SV494: list_P227219501e_name] :
      ( ( ~ ( ~ $false
            | ! [SY2106: late_subject,SY2107: late_subject] :
                ( ( perm_n1559866809ubject @ SV494 @ ( if_Late_subject @ $false @ SY2106 @ SY2107 ) )
                = ( perm_n1559866809ubject @ SV494 @ SY2106 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1912]) ).

thf(2177,plain,
    ! [SV494: list_P227219501e_name] :
      ( ( ~ ( $false
            | ! [SY2108: late_subject,SY2109: late_subject] :
                ( ( perm_n1559866809ubject @ SV494 @ ( if_Late_subject @ $false @ SY2108 @ SY2109 ) )
                = ( perm_n1559866809ubject @ SV494 @ SY2109 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1912]) ).

thf(2178,plain,
    ! [SV703: pi,SV639: pi,SV495: pi,SV255: pi] :
      ( ( ( ( par @ SV255 @ SV495 )
          = ( par @ SV639 @ SV703 ) )
        = ( ~ ( ( SV255 != SV639 )
              | ( SV495 != SV703 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1913]) ).

thf(2179,plain,
    ! [SV704: late_subject,SV640: pi,SV496: set_Pr1834926343_pi_pi,SV256: pi] :
      ( ( ~ ( strong743114133lation @ SV256 @ SV496 @ SV640 )
        | ! [SY2325: name,SY2326: pi] :
            ( ~ ( late_transitions @ SV640 @ ( late_BoundR @ SV704 @ SY2325 @ SY2326 ) )
            | ~ ( fresh_name_pi @ SY2325 @ SV256 )
            | ~ ( ~ ( late_transitions @ SV256 @ ( late_BoundR @ SV704 @ SY2325 @ ( sK92_P4 @ SY2326 @ SY2325 @ SV704 @ SV640 @ SV496 @ SV256 ) ) )
                | ~ ( strong2129052853vative @ ( sK92_P4 @ SY2326 @ SY2325 @ SV704 @ SV640 @ SV496 @ SV256 ) @ SY2326 @ SV704 @ SY2325 @ SV496 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1914]) ).

thf(2180,plain,
    ! [SV705: pi,SV641: late_freeRes,SV497: pi,SV257: late_freeRes] :
      ( ( ( ( late_FreeR @ SV257 @ SV497 )
          = ( late_FreeR @ SV641 @ SV705 ) )
        = ( ~ ( ( SV257 != SV641 )
              | ( SV497 != SV705 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1915]) ).

thf(2181,plain,
    ! [SV706: pi,SV642: late_freeRes,SV498: pi,SV258: name] :
      ( ( ~ ( late_transitions @ ( res @ SV258 @ SV498 ) @ ( late_FreeR @ SV642 @ SV706 ) )
        | ~ ( ( ( res @ SV258 @ SV498 )
             != ( res @ ( sK116_SY1113 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK113_P5 @ SV706 @ SV642 @ SV498 @ SV258 ) ) )
            | ~ ~ ( ( ( late_FreeR @ SV642 @ SV706 )
                   != ( late_FreeR @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( res @ ( sK116_SY1113 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK115_SY1111 @ SV706 @ SV642 @ SV498 @ SV258 ) ) ) )
                  | ~ ~ ( ~ ( late_transitions @ ( sK113_P5 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( late_FreeR @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK115_SY1111 @ SV706 @ SV642 @ SV498 @ SV258 ) ) )
                        | ~ ( fresh_1641682979reeRes @ ( sK116_SY1113 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1916]) ).

thf(2182,plain,
    ! [SV259: product_unit > late_residual > $o] :
      ( ( ( ~ ( fresh_1143631827t_unit @ ( sK28_SY1002 @ SV259 ) @ ( sK30_SY1007 @ SV259 ) ) )
        = $false )
      | ( ( ~ ( SV259 @ ( sK26_SY1001 @ SV259 ) @ ( late_FreeR @ ( sK24_FreeRes2 @ SV259 ) @ ( sK25_SY999 @ SV259 ) ) )
          | ! [SY1707: product_unit,SY1708: late_residual] : ( SV259 @ SY1707 @ SY1708 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1917]) ).

thf(2183,plain,
    ! [SV259: product_unit > late_residual > $o] :
      ( ( ( ~ ~ ( ~ ( fresh_717452603ubject @ ( sK28_SY1002 @ SV259 ) @ ( sK27_Subject2 @ SV259 ) )
                | ~ ~ ( SV259 @ ( sK30_SY1007 @ SV259 ) @ ( late_BoundR @ ( sK27_Subject2 @ SV259 ) @ ( sK28_SY1002 @ SV259 ) @ ( sK29_SY1005 @ SV259 ) ) ) ) )
        = $false )
      | ( ( ~ ( SV259 @ ( sK26_SY1001 @ SV259 ) @ ( late_FreeR @ ( sK24_FreeRes2 @ SV259 ) @ ( sK25_SY999 @ SV259 ) ) )
          | ! [SY1707: product_unit,SY1708: late_residual] : ( SV259 @ SY1707 @ SY1708 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1917]) ).

thf(2184,plain,
    ! [SV260: pi > late_residual > $o] :
      ( ( ( ~ ( fresh_name_pi @ ( sK7_SY975 @ SV260 ) @ ( sK9_SY980 @ SV260 ) ) )
        = $false )
      | ( ( ~ ( SV260 @ ( sK5_SY974 @ SV260 ) @ ( late_FreeR @ ( sK3_FreeRes2 @ SV260 ) @ ( sK4_SY972 @ SV260 ) ) )
          | ! [SY1709: pi,SY1710: late_residual] : ( SV260 @ SY1709 @ SY1710 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1918]) ).

thf(2185,plain,
    ! [SV260: pi > late_residual > $o] :
      ( ( ( ~ ~ ( ~ ( fresh_717452603ubject @ ( sK7_SY975 @ SV260 ) @ ( sK6_Subject2 @ SV260 ) )
                | ~ ~ ( SV260 @ ( sK9_SY980 @ SV260 ) @ ( late_BoundR @ ( sK6_Subject2 @ SV260 ) @ ( sK7_SY975 @ SV260 ) @ ( sK8_SY978 @ SV260 ) ) ) ) )
        = $false )
      | ( ( ~ ( SV260 @ ( sK5_SY974 @ SV260 ) @ ( late_FreeR @ ( sK3_FreeRes2 @ SV260 ) @ ( sK4_SY972 @ SV260 ) ) )
          | ! [SY1709: pi,SY1710: late_residual] : ( SV260 @ SY1709 @ SY1710 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1918]) ).

thf(2186,plain,
    ! [SV261: name] :
      ( ( ! [SY1711: name] :
            ( ( SV261 != SY1711 )
            | ! [SY1712: name] :
                ( ( swap_name2 @ ( produc1570949143e_name @ SV261 @ SY1712 ) @ SY1711 )
                = SY1712 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1919]) ).

thf(2187,plain,
    ! [SV261: name] :
      ( ( ~ ( ~ ! [SY1713: name] :
                  ( ( SV261 = SY1713 )
                  | ! [SY1714: name] :
                      ( ( SY1714 != SY1713 )
                      | ( ( swap_name2 @ ( produc1570949143e_name @ SV261 @ SY1714 ) @ SY1713 )
                        = SV261 ) ) )
            | ~ ! [SY1715: name] :
                  ( ( SV261 = SY1715 )
                  | ! [SY1716: name] :
                      ( ( SY1716 = SY1715 )
                      | ( ( swap_name2 @ ( produc1570949143e_name @ SV261 @ SY1716 ) @ SY1715 )
                        = SY1715 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1920]) ).

thf(2188,plain,
    ! [SV499: $o,SV262: list_P227219501e_name] :
      ( ( ~ ( ~ ( perm_name_o @ SV262 @ SV499 )
            | ! [SY2120: name,SY2121: name] :
                ( ( perm_name_name @ SV262 @ ( if_name @ SV499 @ SY2120 @ SY2121 ) )
                = ( perm_name_name @ SV262 @ SY2120 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1921]) ).

thf(2189,plain,
    ! [SV499: $o,SV262: list_P227219501e_name] :
      ( ( ~ ( ( perm_name_o @ SV262 @ SV499 )
            | ! [SY2122: name,SY2123: name] :
                ( ( perm_name_name @ SV262 @ ( if_name @ SV499 @ SY2122 @ SY2123 ) )
                = ( perm_name_name @ SV262 @ SY2123 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1921]) ).

thf(2190,plain,
    ! [SV262: list_P227219501e_name] :
      ( ( ~ ( ~ ( perm_name_o @ SV262 @ $true )
            | ! [SX0: name,SX1: name] :
                ( ( perm_name_name @ SV262 @ ( if_name @ $true @ SX0 @ SX1 ) )
                = ( perm_name_name @ SV262 @ SX0 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1922]) ).

thf(2191,plain,
    ! [SV262: list_P227219501e_name] :
      ( ( ~ ( ( perm_name_o @ SV262 @ $true )
            | ! [SX0: name,SX1: name] :
                ( ( perm_name_name @ SV262 @ ( if_name @ $true @ SX0 @ SX1 ) )
                = ( perm_name_name @ SV262 @ SX1 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1922]) ).

thf(2192,plain,
    ! [SV262: list_P227219501e_name] :
      ( ( ~ ( ~ ( perm_name_o @ SV262 @ $false )
            | ! [SX0: name,SX1: name] :
                ( ( perm_name_name @ SV262 @ ( if_name @ $false @ SX0 @ SX1 ) )
                = ( perm_name_name @ SV262 @ SX0 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1923]) ).

thf(2193,plain,
    ! [SV262: list_P227219501e_name] :
      ( ( ~ ( ( perm_name_o @ SV262 @ $false )
            | ! [SX0: name,SX1: name] :
                ( ( perm_name_name @ SV262 @ ( if_name @ $false @ SX0 @ SX1 ) )
                = ( perm_name_name @ SV262 @ SX1 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1923]) ).

thf(2194,plain,
    ! [SV500: list_P227219501e_name,SV263: $o] :
      ( ( ~ ( ~ SV263
            | ! [SY2124: pi_Rep,SY2125: pi_Rep] :
                ( ( perm_name_pi_Rep @ SV500 @ ( if_pi_Rep @ SV263 @ SY2124 @ SY2125 ) )
                = ( perm_name_pi_Rep @ SV500 @ SY2124 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1924]) ).

thf(2195,plain,
    ! [SV500: list_P227219501e_name,SV263: $o] :
      ( ( ~ ( SV263
            | ! [SY2126: pi_Rep,SY2127: pi_Rep] :
                ( ( perm_name_pi_Rep @ SV500 @ ( if_pi_Rep @ SV263 @ SY2126 @ SY2127 ) )
                = ( perm_name_pi_Rep @ SV500 @ SY2127 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1924]) ).

thf(2196,plain,
    ! [SV501: list_P227219501e_name] :
      ( ( ~ ( ~ $true
            | ! [SY2128: pi_Rep,SY2129: pi_Rep] :
                ( ( perm_name_pi_Rep @ SV501 @ ( if_pi_Rep @ $true @ SY2128 @ SY2129 ) )
                = ( perm_name_pi_Rep @ SV501 @ SY2128 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1925]) ).

thf(2197,plain,
    ! [SV501: list_P227219501e_name] :
      ( ( ~ ( $true
            | ! [SY2130: pi_Rep,SY2131: pi_Rep] :
                ( ( perm_name_pi_Rep @ SV501 @ ( if_pi_Rep @ $true @ SY2130 @ SY2131 ) )
                = ( perm_name_pi_Rep @ SV501 @ SY2131 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1925]) ).

thf(2198,plain,
    ! [SV502: list_P227219501e_name] :
      ( ( ~ ( ~ $false
            | ! [SY2132: pi_Rep,SY2133: pi_Rep] :
                ( ( perm_name_pi_Rep @ SV502 @ ( if_pi_Rep @ $false @ SY2132 @ SY2133 ) )
                = ( perm_name_pi_Rep @ SV502 @ SY2132 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1926]) ).

thf(2199,plain,
    ! [SV502: list_P227219501e_name] :
      ( ( ~ ( $false
            | ! [SY2134: pi_Rep,SY2135: pi_Rep] :
                ( ( perm_name_pi_Rep @ SV502 @ ( if_pi_Rep @ $false @ SY2134 @ SY2135 ) )
                = ( perm_name_pi_Rep @ SV502 @ SY2135 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1926]) ).

thf(2200,plain,
    ! [SV707: name,SV643: name,SV503: name,SV264: name] :
      ( ( ( ( late_OutputR @ SV264 @ SV503 )
          = ( late_OutputR @ SV643 @ SV707 ) )
        = ( ~ ( ( SV264 != SV643 )
              | ( SV503 != SV707 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1927]) ).

thf(2201,plain,
    ! [SV265: name > late_residual > $o] :
      ( ( ( ~ ( fresh_name_name @ ( sK42_SY1020 @ SV265 ) @ ( sK44_SY1025 @ SV265 ) ) )
        = $false )
      | ( ( ~ ( SV265 @ ( sK40_SY1019 @ SV265 ) @ ( late_FreeR @ ( sK38_FreeRes2 @ SV265 ) @ ( sK39_SY1017 @ SV265 ) ) )
          | ! [SY1730: name,SY1731: late_residual] : ( SV265 @ SY1730 @ SY1731 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1928]) ).

thf(2202,plain,
    ! [SV265: name > late_residual > $o] :
      ( ( ( ~ ~ ( ~ ( fresh_717452603ubject @ ( sK42_SY1020 @ SV265 ) @ ( sK41_Subject2 @ SV265 ) )
                | ~ ~ ( SV265 @ ( sK44_SY1025 @ SV265 ) @ ( late_BoundR @ ( sK41_Subject2 @ SV265 ) @ ( sK42_SY1020 @ SV265 ) @ ( sK43_SY1023 @ SV265 ) ) ) ) )
        = $false )
      | ( ( ~ ( SV265 @ ( sK40_SY1019 @ SV265 ) @ ( late_FreeR @ ( sK38_FreeRes2 @ SV265 ) @ ( sK39_SY1017 @ SV265 ) ) )
          | ! [SY1730: name,SY1731: late_residual] : ( SV265 @ SY1730 @ SY1731 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1928]) ).

thf(2203,plain,
    ! [SV289: name,SV645: name,SV24: name] :
      ( ( ( SV24 = SV645 )
        = $true )
      | ( ( ! [SY2254: pi] :
              ( ( subs @ ( res @ SV24 @ SY2254 ) @ SV289 @ SV645 )
              = ( res @ SV24 @ ( subs @ SY2254 @ SV289 @ SV645 ) ) ) )
        = $true )
      | ( ( SV24 = SV289 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1930]) ).

thf(2204,plain,
    ! [SV33: name,SV292: late_subject,SV708: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV708 @ SV292 )
          | ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV33 @ SV708 ) @ nil_Pr743626285e_name ) @ SV292 )
            = SV292 ) )
        = $true )
      | ( ( fresh_717452603ubject @ SV33 @ SV292 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1931]) ).

thf(2205,plain,
    ! [SV34: name,SV293: late_freeRes,SV709: name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ SV709 @ SV293 )
          | ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV34 @ SV709 ) @ nil_Pr743626285e_name ) @ SV293 )
            = SV293 ) )
        = $true )
      | ( ( fresh_1641682979reeRes @ SV34 @ SV293 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1932]) ).

thf(2206,plain,
    ! [SV35: name,SV294: pi_Rep,SV710: name] :
      ( ( ( ~ ( fresh_name_pi_Rep @ SV710 @ SV294 )
          | ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV35 @ SV710 ) @ nil_Pr743626285e_name ) @ SV294 )
            = SV294 ) )
        = $true )
      | ( ( fresh_name_pi_Rep @ SV35 @ SV294 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1933]) ).

thf(2207,plain,
    ! [SV36: name,SV295: product_unit,SV711: name] :
      ( ( ( ~ ( fresh_1143631827t_unit @ SV711 @ SV295 )
          | ( ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV36 @ SV711 ) @ nil_Pr743626285e_name ) @ SV295 )
            = SV295 ) )
        = $true )
      | ( ( fresh_1143631827t_unit @ SV36 @ SV295 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1934]) ).

thf(2208,plain,
    ! [SV37: name,SV296: produc1141751126_pi_pi,SV712: name] :
      ( ( ( ~ ( fresh_1376661020_pi_pi @ SV712 @ SV296 )
          | ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV37 @ SV712 ) @ nil_Pr743626285e_name ) @ SV296 )
            = SV296 ) )
        = $true )
      | ( ( fresh_1376661020_pi_pi @ SV37 @ SV296 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1935]) ).

thf(2209,plain,
    ! [SV38: name,SV297: name,SV713: name] :
      ( ( ( ~ ( fresh_name_name @ SV713 @ SV297 )
          | ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV38 @ SV713 ) @ nil_Pr743626285e_name ) @ SV297 )
            = SV297 ) )
        = $true )
      | ( ( fresh_name_name @ SV38 @ SV297 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1936]) ).

thf(2210,plain,
    ! [SV39: name,SV298: pi,SV714: name] :
      ( ( ( ~ ( fresh_name_pi @ SV714 @ SV298 )
          | ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV39 @ SV714 ) @ nil_Pr743626285e_name ) @ SV298 )
            = SV298 ) )
        = $true )
      | ( ( fresh_name_pi @ SV39 @ SV298 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1937]) ).

thf(2211,plain,
    ! [SV40: name,SV299: name > noption_pi,SV715: name] :
      ( ( ( ~ ( fresh_543891186ion_pi @ SV715 @ SV299 )
          | ( ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV40 @ SV715 ) @ nil_Pr743626285e_name ) @ SV299 )
            = SV299 ) )
        = $true )
      | ( ( fresh_543891186ion_pi @ SV40 @ SV299 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1938]) ).

thf(2212,plain,
    ! [SV41: name,SV300: late_subject,SV716: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV716 @ SV300 )
          | ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV41 @ SV716 ) @ nil_Pr743626285e_name ) @ SV300 )
            = SV300 ) )
        = $true )
      | ( ( fresh_717452603ubject @ SV41 @ SV300 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1939]) ).

thf(2213,plain,
    ! [SV42: name,SV301: late_freeRes,SV717: name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ SV717 @ SV301 )
          | ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV42 @ SV717 ) @ nil_Pr743626285e_name ) @ SV301 )
            = SV301 ) )
        = $true )
      | ( ( fresh_1641682979reeRes @ SV42 @ SV301 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1940]) ).

thf(2214,plain,
    ! [SV43: name,SV302: pi_Rep,SV718: name] :
      ( ( ( ~ ( fresh_name_pi_Rep @ SV718 @ SV302 )
          | ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV43 @ SV718 ) @ nil_Pr743626285e_name ) @ SV302 )
            = SV302 ) )
        = $true )
      | ( ( fresh_name_pi_Rep @ SV43 @ SV302 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1941]) ).

thf(2215,plain,
    ! [SV44: name,SV303: product_unit,SV719: name] :
      ( ( ( ~ ( fresh_1143631827t_unit @ SV719 @ SV303 )
          | ( ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV44 @ SV719 ) @ nil_Pr743626285e_name ) @ SV303 )
            = SV303 ) )
        = $true )
      | ( ( fresh_1143631827t_unit @ SV44 @ SV303 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1942]) ).

thf(2216,plain,
    ! [SV45: name,SV304: produc1141751126_pi_pi,SV720: name] :
      ( ( ( ~ ( fresh_1376661020_pi_pi @ SV720 @ SV304 )
          | ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV45 @ SV720 ) @ nil_Pr743626285e_name ) @ SV304 )
            = SV304 ) )
        = $true )
      | ( ( fresh_1376661020_pi_pi @ SV45 @ SV304 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1943]) ).

thf(2217,plain,
    ! [SV46: name,SV305: name,SV721: name] :
      ( ( ( ~ ( fresh_name_name @ SV721 @ SV305 )
          | ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV46 @ SV721 ) @ nil_Pr743626285e_name ) @ SV305 )
            = SV305 ) )
        = $true )
      | ( ( fresh_name_name @ SV46 @ SV305 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1944]) ).

thf(2218,plain,
    ! [SV47: name,SV306: pi,SV722: name] :
      ( ( ( ~ ( fresh_name_pi @ SV722 @ SV306 )
          | ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV47 @ SV722 ) @ nil_Pr743626285e_name ) @ SV306 )
            = SV306 ) )
        = $true )
      | ( ( fresh_name_pi @ SV47 @ SV306 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1945]) ).

thf(2219,plain,
    ! [SV48: name,SV307: name > noption_pi,SV723: name] :
      ( ( ( ~ ( fresh_543891186ion_pi @ SV723 @ SV307 )
          | ( ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV48 @ SV723 ) @ nil_Pr743626285e_name ) @ SV307 )
            = SV307 ) )
        = $true )
      | ( ( fresh_543891186ion_pi @ SV48 @ SV307 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1946]) ).

thf(2220,plain,
    ! [SV308: list_P227219501e_name,SV724: pi,SV49: name] :
      ( ( ( ~ ( fresh_name_pi @ SV49 @ SV724 )
          | ( fresh_name_pi @ SV49 @ ( perm_name_pi @ SV308 @ SV724 ) ) )
        = $true )
      | ( ( fresh_922791155e_name @ SV49 @ SV308 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1947]) ).

thf(2221,plain,
    ! [SV523: pi,SV309: name,SV50: list_P227219501e_name] :
      ( ( ( ~ ( ( fresh_name_pi @ ( perm_name_name @ SV50 @ SV309 ) @ ( perm_name_pi @ SV50 @ SV523 ) )
              | ( fresh_name_pi @ SV309 @ SV523 ) ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_name_pi @ ( perm_name_name @ SV50 @ SV309 ) @ ( perm_name_pi @ SV50 @ SV523 ) )
              | ~ ( fresh_name_pi @ SV309 @ SV523 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1948]) ).

thf(2222,plain,
    ! [SV312: pi,SV725: name,SV53: name] :
      ( ( ( ( SV53 = SV725 )
          | ! [SY2327: name] : ( fresh_name_pi @ SV53 @ ( subs @ SV312 @ SY2327 @ SV725 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV53 @ SV312 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1951]) ).

thf(2223,plain,
    ! [SV726: name,SV54: name,SV313: pi] :
      ( ( ( ( subs @ SV313 @ SV54 @ SV726 )
          = SV313 )
        = $true )
      | ( ( fresh_name_pi @ SV54 @ SV313 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1952]) ).

thf(2224,plain,
    ! [SV56: name,SV314: pi,SV727: name] :
      ( ( ( ( subs @ ( res @ SV727 @ SV314 ) @ SV727 @ SV56 )
          = ( res @ SV56 @ ( subs @ SV314 @ SV727 @ SV56 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV56 @ SV314 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1953]) ).

thf(2225,plain,
    ! [SV57: name,SV315: pi,SV728: name] :
      ( ( ( ( res @ SV728 @ SV315 )
          = ( res @ SV57 @ ( subs @ SV315 @ SV728 @ SV57 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV57 @ SV315 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1954]) ).

thf(2226,plain,
    ! [SV61: name,SV319: name,SV648: name] :
      ( ( ( SV648 = SV319 )
        = $true )
      | ( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV61 @ SV648 ) @ nil_Pr743626285e_name ) @ SV319 )
          = SV319 )
        = $true )
      | ( ( SV61 = SV319 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1956]) ).

thf(2227,plain,
    ! [SV62: name,SV649: late_subject,SV320: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV320 @ SV649 ) )
        = $true )
      | ( ( ~ ( fresh_717452603ubject @ SV62 @ SV649 )
          | ! [SY2255: name] : ( fresh_717452603ubject @ SV62 @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV320 @ SY2255 ) @ nil_Pr743626285e_name ) @ SV649 ) ) )
        = $true )
      | ( ( SV62 = SV320 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1957]) ).

thf(2228,plain,
    ! [SV63: name,SV650: late_freeRes,SV321: name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ SV321 @ SV650 ) )
        = $true )
      | ( ( ~ ( fresh_1641682979reeRes @ SV63 @ SV650 )
          | ! [SY2256: name] : ( fresh_1641682979reeRes @ SV63 @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV321 @ SY2256 ) @ nil_Pr743626285e_name ) @ SV650 ) ) )
        = $true )
      | ( ( SV63 = SV321 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1958]) ).

thf(2229,plain,
    ! [SV64: name,SV651: pi_Rep,SV322: name] :
      ( ( ( ~ ( fresh_name_pi_Rep @ SV322 @ SV651 ) )
        = $true )
      | ( ( ~ ( fresh_name_pi_Rep @ SV64 @ SV651 )
          | ! [SY2257: name] : ( fresh_name_pi_Rep @ SV64 @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV322 @ SY2257 ) @ nil_Pr743626285e_name ) @ SV651 ) ) )
        = $true )
      | ( ( SV64 = SV322 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1959]) ).

thf(2230,plain,
    ! [SV65: name,SV652: product_unit,SV323: name] :
      ( ( ( ~ ( fresh_1143631827t_unit @ SV323 @ SV652 ) )
        = $true )
      | ( ( ~ ( fresh_1143631827t_unit @ SV65 @ SV652 )
          | ! [SY2258: name] : ( fresh_1143631827t_unit @ SV65 @ ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV323 @ SY2258 ) @ nil_Pr743626285e_name ) @ SV652 ) ) )
        = $true )
      | ( ( SV65 = SV323 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1960]) ).

thf(2231,plain,
    ! [SV66: name,SV653: produc1141751126_pi_pi,SV324: name] :
      ( ( ( ~ ( fresh_1376661020_pi_pi @ SV324 @ SV653 ) )
        = $true )
      | ( ( ~ ( fresh_1376661020_pi_pi @ SV66 @ SV653 )
          | ! [SY2259: name] : ( fresh_1376661020_pi_pi @ SV66 @ ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV324 @ SY2259 ) @ nil_Pr743626285e_name ) @ SV653 ) ) )
        = $true )
      | ( ( SV66 = SV324 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1961]) ).

thf(2232,plain,
    ! [SV67: name,SV654: name,SV325: name] :
      ( ( ( ~ ( fresh_name_name @ SV325 @ SV654 ) )
        = $true )
      | ( ( ~ ( fresh_name_name @ SV67 @ SV654 )
          | ! [SY2260: name] : ( fresh_name_name @ SV67 @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV325 @ SY2260 ) @ nil_Pr743626285e_name ) @ SV654 ) ) )
        = $true )
      | ( ( SV67 = SV325 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1962]) ).

thf(2233,plain,
    ! [SV68: name,SV655: pi,SV326: name] :
      ( ( ( ~ ( fresh_name_pi @ SV326 @ SV655 ) )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV68 @ SV655 )
          | ! [SY2261: name] : ( fresh_name_pi @ SV68 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV326 @ SY2261 ) @ nil_Pr743626285e_name ) @ SV655 ) ) )
        = $true )
      | ( ( SV68 = SV326 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1963]) ).

thf(2234,plain,
    ! [SV69: name,SV656: name > noption_pi,SV327: name] :
      ( ( ( ~ ( fresh_543891186ion_pi @ SV327 @ SV656 ) )
        = $true )
      | ( ( ~ ( fresh_543891186ion_pi @ SV69 @ SV656 )
          | ! [SY2262: name] : ( fresh_543891186ion_pi @ SV69 @ ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV327 @ SY2262 ) @ nil_Pr743626285e_name ) @ SV656 ) ) )
        = $true )
      | ( ( SV69 = SV327 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1964]) ).

thf(2235,plain,
    ! [SV528: pi,SV331: pi,SV73: list_P227219501e_name] :
      ( ( ( ~ ( ( ( perm_name_pi @ SV73 @ SV331 )
                = ( perm_name_pi @ SV73 @ SV528 ) )
              | ( SV331 = SV528 ) ) )
        = $true )
      | ( ( ~ ( ( ( perm_name_pi @ SV73 @ SV331 )
               != ( perm_name_pi @ SV73 @ SV528 ) )
              | ( SV331 != SV528 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1965]) ).

thf(2236,plain,
    ! [SV531: pi,SV334: pi,SV76: list_P227219501e_name] :
      ( ( ( ~ ( ( perm_name_o @ SV76 @ ( SV334 = SV531 ) )
              | ( ( perm_name_pi @ SV76 @ SV334 )
                = ( perm_name_pi @ SV76 @ SV531 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( perm_name_o @ SV76 @ ( SV334 = SV531 ) )
              | ( ( perm_name_pi @ SV76 @ SV334 )
               != ( perm_name_pi @ SV76 @ SV531 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1967]) ).

thf(2237,plain,
    ! [SV77: name,SV335: pi,SV729: name] :
      ( ( ( ( res @ SV729 @ SV335 )
          = ( res @ SV77 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV729 @ SV77 ) @ nil_Pr743626285e_name ) @ SV335 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV77 @ SV335 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1969]) ).

thf(2238,plain,
    ! [SV336: pi,SV78: name,SV730: name] :
      ( ( ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV730 @ SV78 ) @ nil_Pr743626285e_name ) @ SV336 )
          = ( subs @ SV336 @ SV730 @ SV78 ) )
        = $true )
      | ( ( fresh_name_pi @ SV78 @ SV336 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1970]) ).

thf(2239,plain,
    ! [SV79: name,SV731: name,SV337: pi] :
      ( ( ( ! [SY2328: name] :
              ( ( subs @ SV337 @ SV731 @ SY2328 )
              = ( subs @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV79 @ SV731 ) @ nil_Pr743626285e_name ) @ SV337 ) @ SV79 @ SY2328 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV79 @ SV337 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1971]) ).

thf(2240,plain,
    ! [SV657: pi,SV532: name,SV338: pi,SV80: pi] :
      ( ( ( par @ SV80 @ SV338 )
        = ( res @ SV532 @ SV657 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1972]) ).

thf(2241,plain,
    ! [SV86: name,SV344: pi,SV732: late_subject] :
      ( ( ( ! [SY2329: name] :
              ( ( late_BoundR @ SV732 @ SY2329 @ SV344 )
              = ( late_BoundR @ SV732 @ SV86 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY2329 @ SV86 ) @ nil_Pr743626285e_name ) @ SV344 ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV86 @ SV344 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1973]) ).

thf(2242,plain,
    ! [SV345: name,SV90: name] :
      ( ( ( ( ( late_BoundOutputS @ SV90 )
            = ( late_BoundOutputS @ SV345 ) )
          | ( SV90 = SV345 ) )
        = $false )
      | ( ( ~ ( ( ( late_BoundOutputS @ SV90 )
               != ( late_BoundOutputS @ SV345 ) )
              | ( SV90 != SV345 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1974]) ).

thf(2243,plain,
    ! [SV91: name,SV733: name,SV346: pi] :
      ( ( ( ! [SY2330: name] :
              ( ( subs @ ( subs @ SV346 @ SV733 @ SV91 ) @ SV91 @ SY2330 )
              = ( subs @ SV346 @ SV733 @ SY2330 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV91 @ SV346 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1975]) ).

thf(2244,plain,
    ! [SV348: name,SV93: name] :
      ( ( ( ( fresh_717452603ubject @ SV93 @ ( late_BoundOutputS @ SV348 ) )
          | ( fresh_name_name @ SV93 @ SV348 ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_717452603ubject @ SV93 @ ( late_BoundOutputS @ SV348 ) )
              | ~ ( fresh_name_name @ SV93 @ SV348 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1976]) ).

thf(2245,plain,
    ! [SV349: late_residual,SV94: pi,SV734: name] :
      ( ( ( ~ ( fresh_name_pi @ SV734 @ SV94 )
          | ( fresh_81631222sidual @ SV734 @ SV349 ) )
        = $true )
      | ( ( late_transitions @ SV94 @ SV349 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1977]) ).

thf(2246,plain,
    ! [SV538: pi,SV350: late_freeRes,SV95: pi] :
      ( ( ( late_transitions @ SV95 @ ( late_FreeR @ SV350 @ SV538 ) )
        = $false )
      | ( ( ! [SY2141: name] :
              ( ~ ( fresh_1641682979reeRes @ SY2141 @ SV350 )
              | ( late_transitions @ ( res @ SY2141 @ SV95 ) @ ( late_FreeR @ SV350 @ ( res @ SY2141 @ SV538 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1978]) ).

thf(2247,plain,
    ! [SV658: pi,SV539: name,SV351: late_subject,SV96: pi] :
      ( ( ( ~ ( late_transitions @ SV96 @ ( late_BoundR @ SV351 @ SV539 @ SV658 ) ) )
        = $true )
      | ( ( ! [SY2263: name] :
              ( ~ ( fresh_717452603ubject @ SY2263 @ SV351 )
              | ( SY2263 = SV539 )
              | ( late_transitions @ ( res @ SY2263 @ SV96 ) @ ( late_BoundR @ SV351 @ SV539 @ ( res @ SY2263 @ SV658 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1979]) ).

thf(2248,plain,
    ! [SV735: pi,SV540: name,SV352: late_subject,SV97: pi] :
      ( ( ( ~ ( late_transitions @ SV97 @ ( late_BoundR @ SV352 @ SV540 @ SV735 ) ) )
        = $true )
      | ( ( ! [SY1827: name] :
              ( ~ ( fresh_name_pi @ SY1827 @ SV97 )
              | ( fresh_717452603ubject @ SY1827 @ SV352 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1980]) ).

thf(2249,plain,
    ! [SV659: pi,SV541: name,SV353: late_subject,SV98: pi] :
      ( ( ( ~ ( late_transitions @ SV98 @ ( late_BoundR @ SV353 @ SV541 @ SV659 ) ) )
        = $true )
      | ( ( ! [SY2264: name] :
              ( ~ ( fresh_717452603ubject @ SY2264 @ SV353 )
              | ( SY2264 = SV541 )
              | ~ ( fresh_name_pi @ SV541 @ SV98 )
              | ~ ( fresh_717452603ubject @ SV541 @ SV353 )
              | ( late_transitions @ ( res @ SY2264 @ SV98 ) @ ( late_BoundR @ SV353 @ SV541 @ ( res @ SY2264 @ SV659 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1981]) ).

thf(2250,plain,
    ! [SV660: pi,SV542: name,SV354: late_subject,SV99: pi] :
      ( ( ( ~ ( late_transitions @ SV99 @ ( late_BoundR @ SV354 @ SV542 @ SV660 ) ) )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV542 @ SV99 )
          | ! [SY2265: pi] :
              ( ~ ( fresh_name_pi @ SV542 @ SY2265 )
              | ~ ( fresh_717452603ubject @ SV542 @ SV354 )
              | ( late_transitions @ ( par @ SV99 @ SY2265 ) @ ( late_BoundR @ SV354 @ SV542 @ ( par @ SV660 @ SY2265 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1982]) ).

thf(2251,plain,
    ! [SV661: pi,SV543: name,SV355: late_subject,SV100: pi] :
      ( ( ( ~ ( late_transitions @ SV100 @ ( late_BoundR @ SV355 @ SV543 @ SV661 ) ) )
        = $true )
      | ( ( ! [SY2266: pi] :
              ( ~ ( fresh_name_pi @ SV543 @ SY2266 )
              | ~ ( fresh_name_pi @ SV543 @ SV100 )
              | ~ ( fresh_717452603ubject @ SV543 @ SV355 )
              | ( late_transitions @ ( par @ SY2266 @ SV100 ) @ ( late_BoundR @ SV355 @ SV543 @ ( par @ SY2266 @ SV661 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1983]) ).

thf(2252,plain,
    ! [SV736: pi,SV662: late_freeRes,SV544: pi,SV356: name,SV101: late_subject] :
      ( ( ( late_BoundR @ SV101 @ SV356 @ SV544 )
       != ( late_FreeR @ SV662 @ SV736 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1984]) ).

thf(2253,plain,
    ! [SV102: late_residual > $o] :
      ( ( ( SV102 @ ( late_FreeR @ ( sK98_FreeRes2 @ SV102 ) @ ( sK99_SY1084 @ SV102 ) ) )
        = $false )
      | ( ( ! [SY1313: late_residual] : ( SV102 @ SY1313 ) )
        = $true )
      | ( ( SV102 @ ( late_BoundR @ ( sK100_Subject2 @ SV102 ) @ ( sK101_SY1085 @ SV102 ) @ ( sK102_SY1087 @ SV102 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1985]) ).

thf(2254,plain,
    ! [SV357: late_residual,SV103: pi,SV737: list_P227219501e_name] :
      ( ( ( late_transitions @ ( perm_name_pi @ SV737 @ SV103 ) @ ( perm_n414416632sidual @ SV737 @ SV357 ) )
        = $true )
      | ( ( late_transitions @ SV103 @ SV357 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1986]) ).

thf(2255,plain,
    ! [SV105: late_subject > $o] :
      ( ( ( SV105 @ ( late_BoundOutputS @ ( sK96_Name3 @ SV105 ) ) )
        = $false )
      | ( ( ! [SY1317: late_subject] : ( SV105 @ SY1317 ) )
        = $true )
      | ( ( SV105 @ ( late_InputS @ ( sK97_Name3 @ SV105 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1987]) ).

thf(2256,plain,
    ! [SV545: pi,SV359: late_freeRes,SV106: pi] :
      ( ( ( late_transitions @ SV106 @ ( late_FreeR @ SV359 @ SV545 ) )
        = $false )
      | ( ( ! [SY2154: pi] : ( late_transitions @ ( par @ SV106 @ SY2154 ) @ ( late_FreeR @ SV359 @ ( par @ SV545 @ SY2154 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1988]) ).

thf(2257,plain,
    ! [SV546: pi,SV360: late_freeRes,SV107: pi] :
      ( ( ( late_transitions @ SV107 @ ( late_FreeR @ SV360 @ SV546 ) )
        = $false )
      | ( ( ! [SY2155: pi] : ( late_transitions @ ( par @ SY2155 @ SV107 ) @ ( late_FreeR @ SV360 @ ( par @ SY2155 @ SV546 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1989]) ).

thf(2258,plain,
    ! [SV663: pi,SV547: name,SV361: late_subject,SV108: pi] :
      ( ( ( ~ ( late_transitions @ SV108 @ ( late_BoundR @ SV361 @ SV547 @ SV663 ) ) )
        = $true )
      | ( ( ! [SY2268: name] :
              ( ~ ( fresh_name_pi @ SY2268 @ SV108 )
              | ( SY2268 = SV547 )
              | ( fresh_name_pi @ SY2268 @ SV663 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1990]) ).

thf(2259,plain,
    ! [SV548: pi,SV362: late_freeRes,SV109: pi] :
      ( ( ( late_transitions @ SV109 @ ( late_FreeR @ SV362 @ SV548 ) )
        = $false )
      | ( ( ! [SY2158: name] :
              ( ~ ( fresh_name_pi @ SY2158 @ SV109 )
              | ( fresh_name_pi @ SY2158 @ SV548 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1991]) ).

thf(2260,plain,
    ! [SV664: pi,SV549: name,SV363: late_subject,SV110: pi] :
      ( ( ( ~ ( late_transitions @ SV110 @ ( late_BoundR @ SV363 @ SV549 @ SV664 ) ) )
        = $true )
      | ( ( ! [SY2269: pi] :
              ( ~ ( fresh_name_pi @ SV549 @ SY2269 )
              | ( late_transitions @ ( par @ SV110 @ SY2269 ) @ ( late_BoundR @ SV363 @ SV549 @ ( par @ SV664 @ SY2269 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1992]) ).

thf(2261,plain,
    ! [SV665: pi,SV550: name,SV364: late_subject,SV111: pi] :
      ( ( ( ~ ( late_transitions @ SV111 @ ( late_BoundR @ SV364 @ SV550 @ SV665 ) ) )
        = $true )
      | ( ( ! [SY2270: pi] :
              ( ~ ( fresh_name_pi @ SV550 @ SY2270 )
              | ( late_transitions @ ( par @ SY2270 @ SV111 ) @ ( late_BoundR @ SV364 @ SV550 @ ( par @ SY2270 @ SV665 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1993]) ).

thf(2262,plain,
    ! [SV666: pi,SV551: name,SV365: name,SV112: pi] :
      ( ( ( ~ ( late_transitions @ SV112 @ ( late_FreeR @ ( late_OutputR @ SV365 @ SV551 ) @ SV666 ) ) )
        = $true )
      | ( ( ( SV365 = SV551 )
          | ( late_transitions @ ( res @ SV551 @ SV112 ) @ ( late_BoundR @ ( late_BoundOutputS @ SV365 ) @ SV551 @ SV666 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1994]) ).

thf(2263,plain,
    ! [SV738: set_Pr1834926343_pi_pi,SV667: name,SV552: late_subject,SV366: pi,SV113: pi] :
      ( ( ~ ( strong2129052853vative @ SV113 @ SV366 @ SV552 @ SV667 @ SV738 )
        | ~ ( eqvt_pi @ SV738 )
        | ! [SY2331: list_P227219501e_name] : ( strong2129052853vative @ ( perm_name_pi @ SY2331 @ SV113 ) @ ( perm_name_pi @ SY2331 @ SV366 ) @ SV552 @ ( perm_name_name @ SY2331 @ SV667 ) @ SV738 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1995]) ).

thf(2264,plain,
    ! [SV367: pi,SV115: pi,SV739: list_P227219501e_name] :
      ( ( ( ( perm_name_pi @ SV739 @ SV115 )
          = ( perm_name_pi @ SV739 @ SV367 ) )
        = $true )
      | ( ( SV115 = SV367 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1996]) ).

thf(2265,plain,
    ! [SV553: name,SV368: name,SV116: name] :
      ( ( ( fresh_441084397e_name @ SV116 @ ( produc1570949143e_name @ SV368 @ SV553 ) )
        = $false )
      | ( ( fresh_name_name @ SV116 @ SV553 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1997]) ).

thf(2266,plain,
    ! [SV668: name,SV369: name,SV117: name] :
      ( ( ( fresh_441084397e_name @ SV117 @ ( produc1570949143e_name @ SV369 @ SV668 ) )
        = $false )
      | ( ( fresh_name_name @ SV117 @ SV369 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1998]) ).

thf(2267,plain,
    ! [SV371: name,SV119: name] :
      ( ( ( ( ( late_BoundOutputS @ SV119 )
            = ( late_BoundOutputS @ SV371 ) )
          | ( SV119 = SV371 ) )
        = $false )
      | ( ( ~ ( ( ( late_BoundOutputS @ SV119 )
               != ( late_BoundOutputS @ SV371 ) )
              | ( SV119 != SV371 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1999]) ).

thf(2268,plain,
    ! [SV740: pi,SV670: name,SV556: pi,SV374: name,SV123: name] :
      ( ( ( input @ SV123 @ SV374 @ SV556 )
       != ( res @ SV670 @ SV740 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2001]) ).

thf(2269,plain,
    ! [SV741: pi,SV671: pi,SV557: pi,SV375: name,SV124: name] :
      ( ( ( input @ SV124 @ SV375 @ SV557 )
       != ( par @ SV671 @ SV741 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2002]) ).

thf(2270,plain,
    ! [SV672: late_residual,SV558: pi,SV376: name,SV125: name] :
      ( ( late_transitions @ ( res @ SV125 @ ( input @ SV125 @ SV376 @ SV558 ) ) @ SV672 )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2003]) ).

thf(2271,plain,
    ! [SV742: pi,SV673: late_freeRes,SV559: pi,SV377: name,SV126: name] :
      ( ( ~ ( late_transitions @ ( input @ SV126 @ SV377 @ SV559 ) @ ( late_FreeR @ SV673 @ SV742 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2004]) ).

thf(2272,plain,
    ! [SV743: late_freeRes,SV674: pi,SV560: name,SV378: name,SV127: name] :
      ( ( ! [SY2332: pi] :
            ~ ( late_transitions @ ( res @ SV127 @ ( input @ SV378 @ SV560 @ SV674 ) ) @ ( late_FreeR @ SV743 @ SY2332 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2005]) ).

thf(2273,plain,
    ! [SV744: name,SV675: name,SV561: pi,SV379: name,SV128: name] :
      ( ( ! [SY2333: pi] :
            ~ ( late_transitions @ ( input @ SV128 @ SV379 @ SV561 ) @ ( late_BoundR @ ( late_BoundOutputS @ SV675 ) @ SV744 @ SY2333 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2006]) ).

thf(2274,plain,
    ! [SV677: late_subject,SV563: pi,SV382: name,SV131: name] :
      ( ( ( ! [SY2280: name,SY2281: pi] :
              ~ ( late_transitions @ ( input @ SV131 @ SV382 @ SV563 ) @ ( late_BoundR @ SV677 @ SY2280 @ SY2281 ) ) )
        = $true )
      | ( ( ~ ( fresh_717452603ubject @ SV131 @ SV677 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2008]) ).

thf(2275,plain,
    ! [SV745: name,SV678: pi,SV564: name,SV383: name,SV132: name] :
      ( ( ! [SY2334: name,SY2335: pi] :
            ~ ( late_transitions @ ( res @ SV132 @ ( input @ SV383 @ SV564 @ SV678 ) ) @ ( late_BoundR @ ( late_BoundOutputS @ SV745 ) @ SY2334 @ SY2335 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2009]) ).

thf(2276,plain,
    ! [SV133: name,SV384: pi,SV746: name] :
      ( ( ( ! [SY2336: name] :
              ( ( input @ SV746 @ SY2336 @ SV384 )
              = ( input @ SV746 @ SV133 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY2336 @ SV133 ) @ nil_Pr743626285e_name ) @ SV384 ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV133 @ SV384 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2010]) ).

thf(2277,plain,
    ! [SV135: $o] :
      ( ( ( SV135
          | $true )
        = $false )
      | ( ( ~ ( ~ SV135
              | ~ $true ) )
        = $true )
      | ( ( SV135 = $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2012]) ).

thf(2278,plain,
    ! [SV135: $o] :
      ( ( ( ~ ( SV135
              | $false ) )
        = $true )
      | ( ( ~ ( ~ SV135
              | ~ $false ) )
        = $true )
      | ( ( SV135 = $true )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2013]) ).

thf(2279,plain,
    ( ( ( $true
        | $true )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2015]) ).

thf(2280,plain,
    ( ( ( ~ ( $true
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2016]) ).

thf(2281,plain,
    ( ( ( $false
        | $true )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2018]) ).

thf(2282,plain,
    ( ( ( ~ ( $false
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2019]) ).

thf(2283,plain,
    ! [SV386: list_P227219501e_name,SV747: late_subject,SV136: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV136 @ SV747 )
          | ( fresh_717452603ubject @ SV136 @ ( perm_n1559866809ubject @ SV386 @ SV747 ) ) )
        = $true )
      | ( ( fresh_922791155e_name @ SV136 @ SV386 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2021]) ).

thf(2284,plain,
    ! [SV387: list_P227219501e_name,SV748: late_freeRes,SV137: name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ SV137 @ SV748 )
          | ( fresh_1641682979reeRes @ SV137 @ ( perm_n336613537reeRes @ SV387 @ SV748 ) ) )
        = $true )
      | ( ( fresh_922791155e_name @ SV137 @ SV387 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2022]) ).

thf(2285,plain,
    ! [SV388: list_P227219501e_name,SV749: pi_Rep,SV138: name] :
      ( ( ( ~ ( fresh_name_pi_Rep @ SV138 @ SV749 )
          | ( fresh_name_pi_Rep @ SV138 @ ( perm_name_pi_Rep @ SV388 @ SV749 ) ) )
        = $true )
      | ( ( fresh_922791155e_name @ SV138 @ SV388 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2023]) ).

thf(2286,plain,
    ! [SV389: list_P227219501e_name,SV750: product_unit,SV139: name] :
      ( ( ( ~ ( fresh_1143631827t_unit @ SV139 @ SV750 )
          | ( fresh_1143631827t_unit @ SV139 @ ( perm_n1960409557t_unit @ SV389 @ SV750 ) ) )
        = $true )
      | ( ( fresh_922791155e_name @ SV139 @ SV389 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2024]) ).

thf(2287,plain,
    ! [SV390: list_P227219501e_name,SV751: produc1141751126_pi_pi,SV140: name] :
      ( ( ( ~ ( fresh_1376661020_pi_pi @ SV140 @ SV751 )
          | ( fresh_1376661020_pi_pi @ SV140 @ ( perm_n1255502110_pi_pi @ SV390 @ SV751 ) ) )
        = $true )
      | ( ( fresh_922791155e_name @ SV140 @ SV390 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2025]) ).

thf(2288,plain,
    ! [SV391: list_P227219501e_name,SV752: name,SV141: name] :
      ( ( ( ~ ( fresh_name_name @ SV141 @ SV752 )
          | ( fresh_name_name @ SV141 @ ( perm_name_name @ SV391 @ SV752 ) ) )
        = $true )
      | ( ( fresh_922791155e_name @ SV141 @ SV391 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2026]) ).

thf(2289,plain,
    ! [SV392: list_P227219501e_name,SV753: name > noption_pi,SV142: name] :
      ( ( ( ~ ( fresh_543891186ion_pi @ SV142 @ SV753 )
          | ( fresh_543891186ion_pi @ SV142 @ ( perm_n1667196784ion_pi @ SV392 @ SV753 ) ) )
        = $true )
      | ( ( fresh_922791155e_name @ SV142 @ SV392 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2027]) ).

thf(2290,plain,
    ! [SV566: late_subject,SV393: name,SV147: list_P227219501e_name] :
      ( ( ( ~ ( ( perm_name_o @ SV147 @ ( fresh_717452603ubject @ SV393 @ SV566 ) )
              | ( fresh_717452603ubject @ ( perm_name_name @ SV147 @ SV393 ) @ ( perm_n1559866809ubject @ SV147 @ SV566 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( perm_name_o @ SV147 @ ( fresh_717452603ubject @ SV393 @ SV566 ) )
              | ~ ( fresh_717452603ubject @ ( perm_name_name @ SV147 @ SV393 ) @ ( perm_n1559866809ubject @ SV147 @ SV566 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2028]) ).

thf(2291,plain,
    ! [SV567: late_freeRes,SV394: name,SV148: list_P227219501e_name] :
      ( ( ( ~ ( ( perm_name_o @ SV148 @ ( fresh_1641682979reeRes @ SV394 @ SV567 ) )
              | ( fresh_1641682979reeRes @ ( perm_name_name @ SV148 @ SV394 ) @ ( perm_n336613537reeRes @ SV148 @ SV567 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( perm_name_o @ SV148 @ ( fresh_1641682979reeRes @ SV394 @ SV567 ) )
              | ~ ( fresh_1641682979reeRes @ ( perm_name_name @ SV148 @ SV394 ) @ ( perm_n336613537reeRes @ SV148 @ SV567 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2030]) ).

thf(2292,plain,
    ! [SV568: pi_Rep,SV395: name,SV149: list_P227219501e_name] :
      ( ( ( ~ ( ( perm_name_o @ SV149 @ ( fresh_name_pi_Rep @ SV395 @ SV568 ) )
              | ( fresh_name_pi_Rep @ ( perm_name_name @ SV149 @ SV395 ) @ ( perm_name_pi_Rep @ SV149 @ SV568 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( perm_name_o @ SV149 @ ( fresh_name_pi_Rep @ SV395 @ SV568 ) )
              | ~ ( fresh_name_pi_Rep @ ( perm_name_name @ SV149 @ SV395 ) @ ( perm_name_pi_Rep @ SV149 @ SV568 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2032]) ).

thf(2293,plain,
    ! [SV569: product_unit,SV396: name,SV150: list_P227219501e_name] :
      ( ( ( ~ ( ( perm_name_o @ SV150 @ ( fresh_1143631827t_unit @ SV396 @ SV569 ) )
              | ( fresh_1143631827t_unit @ ( perm_name_name @ SV150 @ SV396 ) @ ( perm_n1960409557t_unit @ SV150 @ SV569 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( perm_name_o @ SV150 @ ( fresh_1143631827t_unit @ SV396 @ SV569 ) )
              | ~ ( fresh_1143631827t_unit @ ( perm_name_name @ SV150 @ SV396 ) @ ( perm_n1960409557t_unit @ SV150 @ SV569 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2034]) ).

thf(2294,plain,
    ! [SV570: produc1141751126_pi_pi,SV397: name,SV151: list_P227219501e_name] :
      ( ( ( ~ ( ( perm_name_o @ SV151 @ ( fresh_1376661020_pi_pi @ SV397 @ SV570 ) )
              | ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV151 @ SV397 ) @ ( perm_n1255502110_pi_pi @ SV151 @ SV570 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( perm_name_o @ SV151 @ ( fresh_1376661020_pi_pi @ SV397 @ SV570 ) )
              | ~ ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV151 @ SV397 ) @ ( perm_n1255502110_pi_pi @ SV151 @ SV570 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2036]) ).

thf(2295,plain,
    ! [SV571: name,SV398: name,SV152: list_P227219501e_name] :
      ( ( ( ~ ( ( perm_name_o @ SV152 @ ( fresh_name_name @ SV398 @ SV571 ) )
              | ( fresh_name_name @ ( perm_name_name @ SV152 @ SV398 ) @ ( perm_name_name @ SV152 @ SV571 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( perm_name_o @ SV152 @ ( fresh_name_name @ SV398 @ SV571 ) )
              | ~ ( fresh_name_name @ ( perm_name_name @ SV152 @ SV398 ) @ ( perm_name_name @ SV152 @ SV571 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2038]) ).

thf(2296,plain,
    ! [SV572: pi,SV399: name,SV153: list_P227219501e_name] :
      ( ( ( ~ ( ( perm_name_o @ SV153 @ ( fresh_name_pi @ SV399 @ SV572 ) )
              | ( fresh_name_pi @ ( perm_name_name @ SV153 @ SV399 ) @ ( perm_name_pi @ SV153 @ SV572 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( perm_name_o @ SV153 @ ( fresh_name_pi @ SV399 @ SV572 ) )
              | ~ ( fresh_name_pi @ ( perm_name_name @ SV153 @ SV399 ) @ ( perm_name_pi @ SV153 @ SV572 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2040]) ).

thf(2297,plain,
    ! [SV573: name > noption_pi,SV400: name,SV154: list_P227219501e_name] :
      ( ( ( ~ ( ( perm_name_o @ SV154 @ ( fresh_543891186ion_pi @ SV400 @ SV573 ) )
              | ( fresh_543891186ion_pi @ ( perm_name_name @ SV154 @ SV400 ) @ ( perm_n1667196784ion_pi @ SV154 @ SV573 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( perm_name_o @ SV154 @ ( fresh_543891186ion_pi @ SV400 @ SV573 ) )
              | ~ ( fresh_543891186ion_pi @ ( perm_name_name @ SV154 @ SV400 ) @ ( perm_n1667196784ion_pi @ SV154 @ SV573 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2042]) ).

thf(2298,plain,
    ! [SV574: late_subject,SV401: name,SV155: list_P227219501e_name] :
      ( ( ( ~ ( ( fresh_717452603ubject @ ( perm_name_name @ SV155 @ SV401 ) @ ( perm_n1559866809ubject @ SV155 @ SV574 ) )
              | ( fresh_717452603ubject @ SV401 @ SV574 ) ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_717452603ubject @ ( perm_name_name @ SV155 @ SV401 ) @ ( perm_n1559866809ubject @ SV155 @ SV574 ) )
              | ~ ( fresh_717452603ubject @ SV401 @ SV574 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2044]) ).

thf(2299,plain,
    ! [SV575: late_freeRes,SV402: name,SV156: list_P227219501e_name] :
      ( ( ( ~ ( ( fresh_1641682979reeRes @ ( perm_name_name @ SV156 @ SV402 ) @ ( perm_n336613537reeRes @ SV156 @ SV575 ) )
              | ( fresh_1641682979reeRes @ SV402 @ SV575 ) ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_1641682979reeRes @ ( perm_name_name @ SV156 @ SV402 ) @ ( perm_n336613537reeRes @ SV156 @ SV575 ) )
              | ~ ( fresh_1641682979reeRes @ SV402 @ SV575 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2046]) ).

thf(2300,plain,
    ! [SV576: pi_Rep,SV403: name,SV157: list_P227219501e_name] :
      ( ( ( ~ ( ( fresh_name_pi_Rep @ ( perm_name_name @ SV157 @ SV403 ) @ ( perm_name_pi_Rep @ SV157 @ SV576 ) )
              | ( fresh_name_pi_Rep @ SV403 @ SV576 ) ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_name_pi_Rep @ ( perm_name_name @ SV157 @ SV403 ) @ ( perm_name_pi_Rep @ SV157 @ SV576 ) )
              | ~ ( fresh_name_pi_Rep @ SV403 @ SV576 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2048]) ).

thf(2301,plain,
    ! [SV577: product_unit,SV404: name,SV158: list_P227219501e_name] :
      ( ( ( ~ ( ( fresh_1143631827t_unit @ ( perm_name_name @ SV158 @ SV404 ) @ ( perm_n1960409557t_unit @ SV158 @ SV577 ) )
              | ( fresh_1143631827t_unit @ SV404 @ SV577 ) ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_1143631827t_unit @ ( perm_name_name @ SV158 @ SV404 ) @ ( perm_n1960409557t_unit @ SV158 @ SV577 ) )
              | ~ ( fresh_1143631827t_unit @ SV404 @ SV577 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2050]) ).

thf(2302,plain,
    ! [SV578: produc1141751126_pi_pi,SV405: name,SV159: list_P227219501e_name] :
      ( ( ( ~ ( ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV159 @ SV405 ) @ ( perm_n1255502110_pi_pi @ SV159 @ SV578 ) )
              | ( fresh_1376661020_pi_pi @ SV405 @ SV578 ) ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV159 @ SV405 ) @ ( perm_n1255502110_pi_pi @ SV159 @ SV578 ) )
              | ~ ( fresh_1376661020_pi_pi @ SV405 @ SV578 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2052]) ).

thf(2303,plain,
    ! [SV579: name,SV406: name,SV160: list_P227219501e_name] :
      ( ( ( ~ ( ( fresh_name_name @ ( perm_name_name @ SV160 @ SV406 ) @ ( perm_name_name @ SV160 @ SV579 ) )
              | ( fresh_name_name @ SV406 @ SV579 ) ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_name_name @ ( perm_name_name @ SV160 @ SV406 ) @ ( perm_name_name @ SV160 @ SV579 ) )
              | ~ ( fresh_name_name @ SV406 @ SV579 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2054]) ).

thf(2304,plain,
    ! [SV580: name > noption_pi,SV407: name,SV161: list_P227219501e_name] :
      ( ( ( ~ ( ( fresh_543891186ion_pi @ ( perm_name_name @ SV161 @ SV407 ) @ ( perm_n1667196784ion_pi @ SV161 @ SV580 ) )
              | ( fresh_543891186ion_pi @ SV407 @ SV580 ) ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_543891186ion_pi @ ( perm_name_name @ SV161 @ SV407 ) @ ( perm_n1667196784ion_pi @ SV161 @ SV580 ) )
              | ~ ( fresh_543891186ion_pi @ SV407 @ SV580 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2056]) ).

thf(2305,plain,
    ! [SV593: late_subject,SV420: late_subject,SV174: list_P227219501e_name] :
      ( ( ( ~ ( ( ( perm_n1559866809ubject @ SV174 @ SV420 )
                = ( perm_n1559866809ubject @ SV174 @ SV593 ) )
              | ( SV420 = SV593 ) ) )
        = $true )
      | ( ( ~ ( ( ( perm_n1559866809ubject @ SV174 @ SV420 )
               != ( perm_n1559866809ubject @ SV174 @ SV593 ) )
              | ( SV420 != SV593 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2058]) ).

thf(2306,plain,
    ! [SV594: late_freeRes,SV421: late_freeRes,SV175: list_P227219501e_name] :
      ( ( ( ~ ( ( ( perm_n336613537reeRes @ SV175 @ SV421 )
                = ( perm_n336613537reeRes @ SV175 @ SV594 ) )
              | ( SV421 = SV594 ) ) )
        = $true )
      | ( ( ~ ( ( ( perm_n336613537reeRes @ SV175 @ SV421 )
               != ( perm_n336613537reeRes @ SV175 @ SV594 ) )
              | ( SV421 != SV594 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2060]) ).

thf(2307,plain,
    ! [SV595: pi_Rep,SV422: pi_Rep,SV176: list_P227219501e_name] :
      ( ( ( ~ ( ( ( perm_name_pi_Rep @ SV176 @ SV422 )
                = ( perm_name_pi_Rep @ SV176 @ SV595 ) )
              | ( SV422 = SV595 ) ) )
        = $true )
      | ( ( ~ ( ( ( perm_name_pi_Rep @ SV176 @ SV422 )
               != ( perm_name_pi_Rep @ SV176 @ SV595 ) )
              | ( SV422 != SV595 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2062]) ).

thf(2308,plain,
    ! [SV596: name,SV423: name,SV177: list_P227219501e_name] :
      ( ( ( ~ ( ( ( perm_name_name @ SV177 @ SV423 )
                = ( perm_name_name @ SV177 @ SV596 ) )
              | ( SV423 = SV596 ) ) )
        = $true )
      | ( ( ~ ( ( ( perm_name_name @ SV177 @ SV423 )
               != ( perm_name_name @ SV177 @ SV596 ) )
              | ( SV423 != SV596 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2064]) ).

thf(2309,plain,
    ! [SV605: late_subject,SV432: late_subject,SV186: list_P227219501e_name] :
      ( ( ( ~ ( ( perm_name_o @ SV186 @ ( SV432 = SV605 ) )
              | ( ( perm_n1559866809ubject @ SV186 @ SV432 )
                = ( perm_n1559866809ubject @ SV186 @ SV605 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( perm_name_o @ SV186 @ ( SV432 = SV605 ) )
              | ( ( perm_n1559866809ubject @ SV186 @ SV432 )
               != ( perm_n1559866809ubject @ SV186 @ SV605 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2066]) ).

thf(2310,plain,
    ! [SV606: late_freeRes,SV433: late_freeRes,SV187: list_P227219501e_name] :
      ( ( ( ~ ( ( perm_name_o @ SV187 @ ( SV433 = SV606 ) )
              | ( ( perm_n336613537reeRes @ SV187 @ SV433 )
                = ( perm_n336613537reeRes @ SV187 @ SV606 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( perm_name_o @ SV187 @ ( SV433 = SV606 ) )
              | ( ( perm_n336613537reeRes @ SV187 @ SV433 )
               != ( perm_n336613537reeRes @ SV187 @ SV606 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2068]) ).

thf(2311,plain,
    ! [SV607: pi_Rep,SV434: pi_Rep,SV188: list_P227219501e_name] :
      ( ( ( ~ ( ( perm_name_o @ SV188 @ ( SV434 = SV607 ) )
              | ( ( perm_name_pi_Rep @ SV188 @ SV434 )
                = ( perm_name_pi_Rep @ SV188 @ SV607 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( perm_name_o @ SV188 @ ( SV434 = SV607 ) )
              | ( ( perm_name_pi_Rep @ SV188 @ SV434 )
               != ( perm_name_pi_Rep @ SV188 @ SV607 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2070]) ).

thf(2312,plain,
    ! [SV608: name,SV435: name,SV189: list_P227219501e_name] :
      ( ( ( ~ ( ( perm_name_o @ SV189 @ ( SV435 = SV608 ) )
              | ( ( perm_name_name @ SV189 @ SV435 )
                = ( perm_name_name @ SV189 @ SV608 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( perm_name_o @ SV189 @ ( SV435 = SV608 ) )
              | ( ( perm_name_name @ SV189 @ SV435 )
               != ( perm_name_name @ SV189 @ SV608 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2072]) ).

thf(2313,plain,
    ! [SV754: pi,SV680: pi,SV609: name,SV436: name,SV190: pi] :
      ( ( ~ ( late_transitions @ SV190 @ ( late_BoundR @ ( late_BoundOutputS @ SV436 ) @ SV609 @ SV680 ) )
        | ! [SY2337: name,SY2338: pi] :
            ( ~ ( late_transitions @ SV754 @ ( late_BoundR @ ( late_InputS @ SV436 ) @ SY2337 @ SY2338 ) )
            | ~ ( fresh_name_pi @ SY2337 @ SV190 )
            | ~ ( fresh_name_pi @ SY2337 @ SV754 )
            | ~ ( fresh_name_pi @ SV609 @ SV190 )
            | ~ ( fresh_name_pi @ SV609 @ SV754 )
            | ( SY2337 = SV436 )
            | ~ ( fresh_name_pi @ SY2337 @ SV680 )
            | ( SV609 = SV436 )
            | ~ ( fresh_name_pi @ SV609 @ SY2338 )
            | ( SY2337 = SV609 )
            | ( late_transitions @ ( par @ SV190 @ SV754 ) @ ( late_FreeR @ late_TauR @ ( res @ SV609 @ ( par @ SV680 @ ( subs @ SY2338 @ SY2337 @ SV609 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2074]) ).

thf(2314,plain,
    ! [SV755: pi,SV681: pi,SV610: name,SV437: name,SV191: pi] :
      ( ( ~ ( late_transitions @ SV191 @ ( late_BoundR @ ( late_InputS @ SV437 ) @ SV610 @ SV681 ) )
        | ! [SY2339: name,SY2340: pi] :
            ( ~ ( late_transitions @ SV755 @ ( late_BoundR @ ( late_BoundOutputS @ SV437 ) @ SY2339 @ SY2340 ) )
            | ~ ( fresh_name_pi @ SV610 @ SV191 )
            | ~ ( fresh_name_pi @ SV610 @ SV755 )
            | ~ ( fresh_name_pi @ SY2339 @ SV191 )
            | ~ ( fresh_name_pi @ SY2339 @ SV755 )
            | ( SV610 = SV437 )
            | ~ ( fresh_name_pi @ SV610 @ SY2340 )
            | ( SY2339 = SV437 )
            | ~ ( fresh_name_pi @ SY2339 @ SV681 )
            | ( SV610 = SY2339 )
            | ( late_transitions @ ( par @ SV191 @ SV755 ) @ ( late_FreeR @ late_TauR @ ( res @ SY2339 @ ( par @ ( subs @ SV681 @ SV610 @ SY2339 ) @ SY2340 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2075]) ).

thf(2315,plain,
    ! [SV756: pi,SV682: pi,SV611: name,SV438: name,SV192: pi] :
      ( ( ~ ( late_transitions @ SV192 @ ( late_BoundR @ ( late_BoundOutputS @ SV438 ) @ SV611 @ SV682 ) )
        | ! [SY2341: name,SY2342: pi] :
            ( ~ ( late_transitions @ SV756 @ ( late_BoundR @ ( late_InputS @ SV438 ) @ SY2341 @ SY2342 ) )
            | ~ ( fresh_name_pi @ SV611 @ SV756 )
            | ( late_transitions @ ( par @ SV192 @ SV756 ) @ ( late_FreeR @ late_TauR @ ( res @ SV611 @ ( par @ SV682 @ ( subs @ SY2342 @ SY2341 @ SV611 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2076]) ).

thf(2316,plain,
    ! [SV757: pi,SV683: pi,SV612: name,SV439: name,SV193: pi] :
      ( ( ~ ( late_transitions @ SV193 @ ( late_BoundR @ ( late_InputS @ SV439 ) @ SV612 @ SV683 ) )
        | ! [SY2343: name,SY2344: pi] :
            ( ~ ( late_transitions @ SV757 @ ( late_BoundR @ ( late_BoundOutputS @ SV439 ) @ SY2343 @ SY2344 ) )
            | ~ ( fresh_name_pi @ SY2343 @ SV193 )
            | ( late_transitions @ ( par @ SV193 @ SV757 ) @ ( late_FreeR @ late_TauR @ ( res @ SY2343 @ ( par @ ( subs @ SV683 @ SV612 @ SY2343 ) @ SY2344 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2077]) ).

thf(2317,plain,
    ! [SV758: pi,SV684: pi,SV613: name,SV440: name,SV194: pi] :
      ( ( ~ ( late_transitions @ SV194 @ ( late_FreeR @ ( late_OutputR @ SV440 @ SV613 ) @ SV684 ) )
        | ! [SY2345: name,SY2346: pi] :
            ( ~ ( late_transitions @ SV758 @ ( late_BoundR @ ( late_InputS @ SV440 ) @ SY2345 @ SY2346 ) )
            | ~ ( fresh_name_pi @ SY2345 @ SV194 )
            | ~ ( fresh_name_pi @ SY2345 @ SV758 )
            | ( SY2345 = SV440 )
            | ( SY2345 = SV613 )
            | ~ ( fresh_name_pi @ SY2345 @ SV684 )
            | ( late_transitions @ ( par @ SV194 @ SV758 ) @ ( late_FreeR @ late_TauR @ ( par @ SV684 @ ( subs @ SY2346 @ SY2345 @ SV613 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2078]) ).

thf(2318,plain,
    ! [SV759: pi,SV685: pi,SV614: name,SV441: name,SV195: pi] :
      ( ( ~ ( late_transitions @ SV195 @ ( late_BoundR @ ( late_InputS @ SV441 ) @ SV614 @ SV685 ) )
        | ! [SY2347: name,SY2348: pi] :
            ( ~ ( late_transitions @ SV759 @ ( late_FreeR @ ( late_OutputR @ SV441 @ SY2347 ) @ SY2348 ) )
            | ~ ( fresh_name_pi @ SV614 @ SV195 )
            | ~ ( fresh_name_pi @ SV614 @ SV759 )
            | ( SV614 = SV441 )
            | ( SV614 = SY2347 )
            | ~ ( fresh_name_pi @ SV614 @ SY2348 )
            | ( late_transitions @ ( par @ SV195 @ SV759 ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ SV685 @ SV614 @ SY2347 ) @ SY2348 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2079]) ).

thf(2319,plain,
    ! [SV760: pi,SV686: pi,SV615: name,SV442: name,SV196: pi] :
      ( ( ~ ( late_transitions @ SV196 @ ( late_FreeR @ ( late_OutputR @ SV442 @ SV615 ) @ SV686 ) )
        | ! [SY2349: name,SY2350: pi] :
            ( ~ ( late_transitions @ SV760 @ ( late_BoundR @ ( late_InputS @ SV442 ) @ SY2349 @ SY2350 ) )
            | ( late_transitions @ ( par @ SV196 @ SV760 ) @ ( late_FreeR @ late_TauR @ ( par @ SV686 @ ( subs @ SY2350 @ SY2349 @ SV615 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2080]) ).

thf(2320,plain,
    ! [SV761: pi,SV687: pi,SV616: name,SV443: name,SV197: pi] :
      ( ( ~ ( late_transitions @ SV197 @ ( late_BoundR @ ( late_InputS @ SV443 ) @ SV616 @ SV687 ) )
        | ! [SY2351: name,SY2352: pi] :
            ( ~ ( late_transitions @ SV761 @ ( late_FreeR @ ( late_OutputR @ SV443 @ SY2351 ) @ SY2352 ) )
            | ( late_transitions @ ( par @ SV197 @ SV761 ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ SV687 @ SV616 @ SY2351 ) @ SY2352 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2081]) ).

thf(2321,plain,
    ! [SV447: name,SV203: name] :
      ( ( ( ( fresh_717452603ubject @ SV203 @ ( late_InputS @ SV447 ) )
          | ( fresh_name_name @ SV203 @ SV447 ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_717452603ubject @ SV203 @ ( late_InputS @ SV447 ) )
              | ~ ( fresh_name_name @ SV203 @ SV447 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2082]) ).

thf(2322,plain,
    ! [SV620: name,SV449: name,SV205: list_P227219501e_name] :
      ( ( ( ~ ( ( ( perm_name_name @ SV205 @ SV449 )
                = ( perm_name_name @ SV205 @ SV620 ) )
              | ( SV449 = SV620 ) ) )
        = $true )
      | ( ( ~ ( ( ( perm_name_name @ SV205 @ SV449 )
               != ( perm_name_name @ SV205 @ SV620 ) )
              | ( SV449 != SV620 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2084]) ).

thf(2323,plain,
    ! [SV689: pi,SV450: late_freeRes,SV206: pi] :
      ( ( ( late_transitions @ SV206 @ ( late_FreeR @ SV450 @ SV689 ) )
        = $false )
      | ( ( ! [SY1998: name] :
              ( ~ ( fresh_name_pi @ SY1998 @ SV206 )
              | ( fresh_1641682979reeRes @ SY1998 @ SV450 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2086]) ).

thf(2324,plain,
    ! [SV207: late_freeRes > $o] :
      ( ( ( SV207 @ late_TauR )
        = $false )
      | ( ( ! [SY1568: late_freeRes] : ( SV207 @ SY1568 ) )
        = $true )
      | ( ( SV207 @ ( late_OutputR @ ( sK62_Name1 @ SV207 ) @ ( sK63_SY1045 @ SV207 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2087]) ).

thf(2325,plain,
    ! [SV762: set_Pr1834926343_pi_pi,SV690: name,SV621: late_subject,SV452: pi,SV209: pi] :
      ( ( ~ ( strong2129052853vative @ SV209 @ SV452 @ SV621 @ SV690 @ SV762 )
        | ~ ( eqvt_pi @ SV762 )
        | ! [SY2353: list_P227219501e_name] : ( strong2129052853vative @ ( perm_name_pi @ SY2353 @ SV209 ) @ ( perm_name_pi @ SY2353 @ SV452 ) @ ( perm_n1559866809ubject @ SY2353 @ SV621 ) @ ( perm_name_name @ SY2353 @ SV690 ) @ SV762 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2088]) ).

thf(2326,plain,
    ! [SV691: name,SV453: name] :
      ( ( ~ ( ( fresh_name_name @ SV453 @ SV691 )
            | ( SV453 != SV691 ) )
        | ~ ( ~ ( fresh_name_name @ SV453 @ SV691 )
            | ~ ( ( SV453 != SV691 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2089]) ).

thf(2327,plain,
    ! [SV691: name,SV453: name] :
      ( ( ( fresh_name_name @ SV453 @ SV691 )
        = ( SV453 != SV691 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2089]) ).

thf(2328,plain,
    ! [SV454: late_subject,SV213: late_subject,SV763: list_P227219501e_name] :
      ( ( ( ( perm_n1559866809ubject @ SV763 @ SV213 )
          = ( perm_n1559866809ubject @ SV763 @ SV454 ) )
        = $true )
      | ( ( SV213 = SV454 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2090]) ).

thf(2329,plain,
    ! [SV455: late_freeRes,SV214: late_freeRes,SV764: list_P227219501e_name] :
      ( ( ( ( perm_n336613537reeRes @ SV764 @ SV214 )
          = ( perm_n336613537reeRes @ SV764 @ SV455 ) )
        = $true )
      | ( ( SV214 = SV455 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2091]) ).

thf(2330,plain,
    ! [SV456: pi_Rep,SV215: pi_Rep,SV765: list_P227219501e_name] :
      ( ( ( ( perm_name_pi_Rep @ SV765 @ SV215 )
          = ( perm_name_pi_Rep @ SV765 @ SV456 ) )
        = $true )
      | ( ( SV215 = SV456 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2092]) ).

thf(2331,plain,
    ! [SV457: name,SV216: name,SV766: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV766 @ SV216 )
          = ( perm_name_name @ SV766 @ SV457 ) )
        = $true )
      | ( ( SV216 = SV457 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2093]) ).

thf(2332,plain,
    ! [SV692: product_prod_pi_pi,SV458: name,SV217: name] :
      ( ( ( fresh_1376661020_pi_pi @ SV217 @ ( produc235456326_pi_pi @ SV458 @ SV692 ) )
        = $false )
      | ( ( fresh_name_name @ SV217 @ SV458 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2094]) ).

thf(2333,plain,
    ! [SV459: name,SV218: name] :
      ( ( ( ( ( late_InputS @ SV218 )
            = ( late_InputS @ SV459 ) )
          | ( SV218 = SV459 ) )
        = $false )
      | ( ( ~ ( ( ( late_InputS @ SV218 )
               != ( late_InputS @ SV459 ) )
              | ( SV218 != SV459 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2095]) ).

thf(2334,plain,
    ! [SV624: pi,SV462: name,SV224: name] :
      ( ( ( ~ ( ( fresh_name_pi @ SV224 @ ( res @ SV462 @ SV624 ) )
              | ( fresh_543891186ion_pi @ SV224 @ ( abs_fun_name_pi @ SV462 @ SV624 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_name_pi @ SV224 @ ( res @ SV462 @ SV624 ) )
              | ~ ( fresh_543891186ion_pi @ SV224 @ ( abs_fun_name_pi @ SV462 @ SV624 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2098]) ).

thf(2335,plain,
    ! [SV228: pi > late_residual > $o] :
      ( ( ( fresh_name_pi @ ( sK35_SY1011 @ SV228 ) @ ( sK37_SY1016 @ SV228 ) )
        = $true )
      | ( ( ~ ( SV228 @ ( sK33_SY1010 @ SV228 ) @ ( late_FreeR @ ( sK31_FreeRes2 @ SV228 ) @ ( sK32_SY1008 @ SV228 ) ) )
          | ! [SY1593: pi,SY1594: late_residual] : ( SV228 @ SY1593 @ SY1594 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2101]) ).

thf(2336,plain,
    ! [SV228: pi > late_residual > $o] :
      ( ( ( ~ ( ~ ( fresh_717452603ubject @ ( sK35_SY1011 @ SV228 ) @ ( sK34_Subject2 @ SV228 ) )
              | ~ ~ ( SV228 @ ( sK37_SY1016 @ SV228 ) @ ( late_BoundR @ ( sK34_Subject2 @ SV228 ) @ ( sK35_SY1011 @ SV228 ) @ ( sK36_SY1014 @ SV228 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV228 @ ( sK33_SY1010 @ SV228 ) @ ( late_FreeR @ ( sK31_FreeRes2 @ SV228 ) @ ( sK32_SY1008 @ SV228 ) ) )
          | ! [SY1593: pi,SY1594: late_residual] : ( SV228 @ SY1593 @ SY1594 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2102]) ).

thf(2337,plain,
    ! [SV767: pi,SV695: name,SV625: late_subject,SV465: pi,SV229: pi] :
      ( ( ~ ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        | ~ ( ( ( par @ SV229 @ SV465 )
             != ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
            | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                   != ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                  | ~ ~ ( ~ ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                        | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                              | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                    | ~ ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) )
        | ~ ( ( ( par @ SV229 @ SV465 )
             != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
            | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                   != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                  | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                        | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                              | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                    | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2103]) ).

thf(2338,plain,
    ! [SV768: pi,SV696: name,SV626: late_subject,SV466: pi,SV230: pi] :
      ( ( ~ ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SV626 @ SV696 @ SV768 ) )
        | ~ ( fresh_name_pi @ SV696 @ SV230 )
        | ~ ( fresh_name_pi @ SV696 @ SV466 )
        | ! [SY2354: pi > $o] :
            ( ~ ( ~ ( late_transitions @ SV230 @ ( late_BoundR @ SV626 @ SV696 @ ( sK95_P4 @ SY2354 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
                | ~ ~ ( SY2354 @ ( par @ ( sK95_P4 @ SY2354 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) @ SV466 ) ) )
            | ~ ( ~ ( late_transitions @ SV466 @ ( late_BoundR @ SV626 @ SV696 @ ( sK94_Q4 @ SY2354 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
                | ~ ~ ( SY2354 @ ( par @ SV230 @ ( sK94_Q4 @ SY2354 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) ) )
            | ( SY2354 @ SV768 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2104]) ).

thf(2339,plain,
    ! [SV231: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( fresh_1376661020_pi_pi @ ( sK21_SY993 @ SV231 ) @ ( sK23_SY998 @ SV231 ) )
        = $true )
      | ( ( ~ ( SV231 @ ( sK19_SY992 @ SV231 ) @ ( late_FreeR @ ( sK17_FreeRes2 @ SV231 ) @ ( sK18_SY990 @ SV231 ) ) )
          | ! [SY1604: produc1141751126_pi_pi,SY1605: late_residual] : ( SV231 @ SY1604 @ SY1605 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2105]) ).

thf(2340,plain,
    ! [SV231: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( ~ ( ~ ( fresh_717452603ubject @ ( sK21_SY993 @ SV231 ) @ ( sK20_Subject2 @ SV231 ) )
              | ~ ~ ( SV231 @ ( sK23_SY998 @ SV231 ) @ ( late_BoundR @ ( sK20_Subject2 @ SV231 ) @ ( sK21_SY993 @ SV231 ) @ ( sK22_SY996 @ SV231 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV231 @ ( sK19_SY992 @ SV231 ) @ ( late_FreeR @ ( sK17_FreeRes2 @ SV231 ) @ ( sK18_SY990 @ SV231 ) ) )
          | ! [SY1604: produc1141751126_pi_pi,SY1605: late_residual] : ( SV231 @ SY1604 @ SY1605 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2106]) ).

thf(2341,plain,
    ! [SV769: pi,SV697: name,SV627: late_subject,SV467: pi,SV232: name] :
      ( ( ~ ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        | ~ ( ( ( res @ SV232 @ SV467 )
             != ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
            | ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                   != ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                  | ~ ~ ( ~ ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                        | ~ ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                             != ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) )
        | ~ ( ( ( res @ SV232 @ SV467 )
             != ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
            | ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                   != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
                  | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                        | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                              | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                         != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                    | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                          | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2107]) ).

thf(2342,plain,
    ! [SV468: list_P227219501e_name,SV233: $o] :
      ( ( ~ SV233
        | ! [SY2020: late_freeRes,SY2021: late_freeRes] :
            ( ( perm_n336613537reeRes @ SV468 @ ( if_Late_freeRes @ SV233 @ SY2020 @ SY2021 ) )
            = ( perm_n336613537reeRes @ SV468 @ SY2020 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2108]) ).

thf(2343,plain,
    ! [SV468: list_P227219501e_name,SV233: $o] :
      ( ( SV233
        | ! [SY2022: late_freeRes,SY2023: late_freeRes] :
            ( ( perm_n336613537reeRes @ SV468 @ ( if_Late_freeRes @ SV233 @ SY2022 @ SY2023 ) )
            = ( perm_n336613537reeRes @ SV468 @ SY2023 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2109]) ).

thf(2344,plain,
    ! [SV469: list_P227219501e_name] :
      ( ( ~ $true
        | ! [SY2024: late_freeRes,SY2025: late_freeRes] :
            ( ( perm_n336613537reeRes @ SV469 @ ( if_Late_freeRes @ $true @ SY2024 @ SY2025 ) )
            = ( perm_n336613537reeRes @ SV469 @ SY2024 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2110]) ).

thf(2345,plain,
    ! [SV469: list_P227219501e_name] :
      ( ( $true
        | ! [SY2026: late_freeRes,SY2027: late_freeRes] :
            ( ( perm_n336613537reeRes @ SV469 @ ( if_Late_freeRes @ $true @ SY2026 @ SY2027 ) )
            = ( perm_n336613537reeRes @ SV469 @ SY2027 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2111]) ).

thf(2346,plain,
    ! [SV470: list_P227219501e_name] :
      ( ( ~ $false
        | ! [SY2028: late_freeRes,SY2029: late_freeRes] :
            ( ( perm_n336613537reeRes @ SV470 @ ( if_Late_freeRes @ $false @ SY2028 @ SY2029 ) )
            = ( perm_n336613537reeRes @ SV470 @ SY2028 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2112]) ).

thf(2347,plain,
    ! [SV470: list_P227219501e_name] :
      ( ( $false
        | ! [SY2030: late_freeRes,SY2031: late_freeRes] :
            ( ( perm_n336613537reeRes @ SV470 @ ( if_Late_freeRes @ $false @ SY2030 @ SY2031 ) )
            = ( perm_n336613537reeRes @ SV470 @ SY2031 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2113]) ).

thf(2348,plain,
    ! [SV628: pi,SV471: late_freeRes,SV234: name] :
      ( ( ( ~ ( ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SV628 ) )
              | ~ ( ~ ( fresh_1641682979reeRes @ SV234 @ SV471 )
                  | ~ ( fresh_name_pi @ SV234 @ SV628 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SV628 ) )
              | ~ ~ ( ~ ( fresh_1641682979reeRes @ SV234 @ SV471 )
                    | ~ ( fresh_name_pi @ SV234 @ SV628 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2114]) ).

thf(2349,plain,
    ! [SV472: list_P227219501e_name,SV235: $o] :
      ( ( ~ SV235
        | ! [SY2033: pi,SY2034: pi] :
            ( ( perm_name_pi @ SV472 @ ( if_pi @ SV235 @ SY2033 @ SY2034 ) )
            = ( perm_name_pi @ SV472 @ SY2033 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2116]) ).

thf(2350,plain,
    ! [SV472: list_P227219501e_name,SV235: $o] :
      ( ( SV235
        | ! [SY2035: pi,SY2036: pi] :
            ( ( perm_name_pi @ SV472 @ ( if_pi @ SV235 @ SY2035 @ SY2036 ) )
            = ( perm_name_pi @ SV472 @ SY2036 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2117]) ).

thf(2351,plain,
    ! [SV473: list_P227219501e_name] :
      ( ( ~ $true
        | ! [SY2037: pi,SY2038: pi] :
            ( ( perm_name_pi @ SV473 @ ( if_pi @ $true @ SY2037 @ SY2038 ) )
            = ( perm_name_pi @ SV473 @ SY2037 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2118]) ).

thf(2352,plain,
    ! [SV473: list_P227219501e_name] :
      ( ( $true
        | ! [SY2039: pi,SY2040: pi] :
            ( ( perm_name_pi @ SV473 @ ( if_pi @ $true @ SY2039 @ SY2040 ) )
            = ( perm_name_pi @ SV473 @ SY2040 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2119]) ).

thf(2353,plain,
    ! [SV474: list_P227219501e_name] :
      ( ( ~ $false
        | ! [SY2041: pi,SY2042: pi] :
            ( ( perm_name_pi @ SV474 @ ( if_pi @ $false @ SY2041 @ SY2042 ) )
            = ( perm_name_pi @ SV474 @ SY2041 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2120]) ).

thf(2354,plain,
    ! [SV474: list_P227219501e_name] :
      ( ( $false
        | ! [SY2043: pi,SY2044: pi] :
            ( ( perm_name_pi @ SV474 @ ( if_pi @ $false @ SY2043 @ SY2044 ) )
            = ( perm_name_pi @ SV474 @ SY2044 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2121]) ).

thf(2355,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
                               != ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
          | ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                           != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
          | ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2122]) ).

thf(2356,plain,
    ! [SV476: $o,SV237: list_P227219501e_name] :
      ( ( ~ ( perm_name_o @ SV237 @ SV476 )
        | ! [SY2046: late_freeRes,SY2047: late_freeRes] :
            ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ SV476 @ SY2046 @ SY2047 ) )
            = ( perm_n336613537reeRes @ SV237 @ SY2046 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2123]) ).

thf(2357,plain,
    ! [SV476: $o,SV237: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV237 @ SV476 )
        | ! [SY2048: late_freeRes,SY2049: late_freeRes] :
            ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ SV476 @ SY2048 @ SY2049 ) )
            = ( perm_n336613537reeRes @ SV237 @ SY2049 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2124]) ).

thf(2358,plain,
    ! [SV237: list_P227219501e_name] :
      ( ( ~ ( perm_name_o @ SV237 @ $true )
        | ! [SX0: late_freeRes,SX1: late_freeRes] :
            ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ $true @ SX0 @ SX1 ) )
            = ( perm_n336613537reeRes @ SV237 @ SX0 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2125]) ).

thf(2359,plain,
    ! [SV237: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV237 @ $true )
        | ! [SX0: late_freeRes,SX1: late_freeRes] :
            ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ $true @ SX0 @ SX1 ) )
            = ( perm_n336613537reeRes @ SV237 @ SX1 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2126]) ).

thf(2360,plain,
    ! [SV237: list_P227219501e_name] :
      ( ( ~ ( perm_name_o @ SV237 @ $false )
        | ! [SX0: late_freeRes,SX1: late_freeRes] :
            ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ $false @ SX0 @ SX1 ) )
            = ( perm_n336613537reeRes @ SV237 @ SX0 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2127]) ).

thf(2361,plain,
    ! [SV237: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV237 @ $false )
        | ! [SX0: late_freeRes,SX1: late_freeRes] :
            ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ $false @ SX0 @ SX1 ) )
            = ( perm_n336613537reeRes @ SV237 @ SX1 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2128]) ).

thf(2362,plain,
    ! [SV630: name,SV477: name,SV238: name] :
      ( ( ( ~ ( ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SV630 ) )
              | ~ ( ~ ( fresh_name_name @ SV238 @ SV477 )
                  | ~ ( fresh_name_name @ SV238 @ SV630 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SV630 ) )
              | ~ ~ ( ~ ( fresh_name_name @ SV238 @ SV477 )
                    | ~ ( fresh_name_name @ SV238 @ SV630 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2129]) ).

thf(2363,plain,
    ! [SV478: $o,SV239: list_P227219501e_name] :
      ( ( ~ ( perm_name_o @ SV239 @ SV478 )
        | ! [SY2051: pi_Rep,SY2052: pi_Rep] :
            ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ SV478 @ SY2051 @ SY2052 ) )
            = ( perm_name_pi_Rep @ SV239 @ SY2051 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2131]) ).

thf(2364,plain,
    ! [SV478: $o,SV239: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV239 @ SV478 )
        | ! [SY2053: pi_Rep,SY2054: pi_Rep] :
            ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ SV478 @ SY2053 @ SY2054 ) )
            = ( perm_name_pi_Rep @ SV239 @ SY2054 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2132]) ).

thf(2365,plain,
    ! [SV239: list_P227219501e_name] :
      ( ( ~ ( perm_name_o @ SV239 @ $true )
        | ! [SX0: pi_Rep,SX1: pi_Rep] :
            ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ $true @ SX0 @ SX1 ) )
            = ( perm_name_pi_Rep @ SV239 @ SX0 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2133]) ).

thf(2366,plain,
    ! [SV239: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV239 @ $true )
        | ! [SX0: pi_Rep,SX1: pi_Rep] :
            ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ $true @ SX0 @ SX1 ) )
            = ( perm_name_pi_Rep @ SV239 @ SX1 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2134]) ).

thf(2367,plain,
    ! [SV239: list_P227219501e_name] :
      ( ( ~ ( perm_name_o @ SV239 @ $false )
        | ! [SX0: pi_Rep,SX1: pi_Rep] :
            ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ $false @ SX0 @ SX1 ) )
            = ( perm_name_pi_Rep @ SV239 @ SX0 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2135]) ).

thf(2368,plain,
    ! [SV239: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV239 @ $false )
        | ! [SX0: pi_Rep,SX1: pi_Rep] :
            ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ $false @ SX0 @ SX1 ) )
            = ( perm_name_pi_Rep @ SV239 @ SX1 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2136]) ).

thf(2369,plain,
    ! [SV698: list_P227219501e_name,SV631: produc367475239e_name,SV479: list_P227219501e_name,SV240: produc367475239e_name] :
      ( ( ~ ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
              = ( cons_P1213805021e_name @ SV631 @ SV698 ) )
            | ~ ( ( SV240 != SV631 )
                | ( SV479 != SV698 ) ) )
        | ~ ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
             != ( cons_P1213805021e_name @ SV631 @ SV698 ) )
            | ~ ~ ( ( SV240 != SV631 )
                  | ( SV479 != SV698 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2137]) ).

thf(2370,plain,
    ! [SV698: list_P227219501e_name,SV631: produc367475239e_name,SV479: list_P227219501e_name,SV240: produc367475239e_name] :
      ( ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
          = ( cons_P1213805021e_name @ SV631 @ SV698 ) )
        = ( ~ ( ( SV240 != SV631 )
              | ( SV479 != SV698 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2137]) ).

thf(2371,plain,
    ! [SV241: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( fresh_1376661020_pi_pi @ ( sK49_SY1029 @ SV241 ) @ ( sK51_SY1034 @ SV241 ) )
        = $true )
      | ( ( ~ ( SV241 @ ( sK47_SY1028 @ SV241 ) @ ( late_FreeR @ ( sK45_FreeRes2 @ SV241 ) @ ( sK46_SY1026 @ SV241 ) ) )
          | ! [SY1639: produc1141751126_pi_pi,SY1640: late_residual] : ( SV241 @ SY1639 @ SY1640 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2138]) ).

thf(2372,plain,
    ! [SV241: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( ~ ( ~ ( fresh_717452603ubject @ ( sK49_SY1029 @ SV241 ) @ ( sK48_Subject2 @ SV241 ) )
              | ~ ~ ( SV241 @ ( sK51_SY1034 @ SV241 ) @ ( late_BoundR @ ( sK48_Subject2 @ SV241 ) @ ( sK49_SY1029 @ SV241 ) @ ( sK50_SY1032 @ SV241 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV241 @ ( sK47_SY1028 @ SV241 ) @ ( late_FreeR @ ( sK45_FreeRes2 @ SV241 ) @ ( sK46_SY1026 @ SV241 ) ) )
          | ! [SY1639: produc1141751126_pi_pi,SY1640: late_residual] : ( SV241 @ SY1639 @ SY1640 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2139]) ).

thf(2373,plain,
    ! [SV632: pi,SV480: pi,SV242: name] :
      ( ( ( ~ ( ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SV632 ) )
              | ~ ( ~ ( fresh_name_pi @ SV242 @ SV480 )
                  | ~ ( fresh_name_pi @ SV242 @ SV632 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SV632 ) )
              | ~ ~ ( ~ ( fresh_name_pi @ SV242 @ SV480 )
                    | ~ ( fresh_name_pi @ SV242 @ SV632 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2140]) ).

thf(2374,plain,
    ! [SV699: name,SV633: name,SV481: name,SV243: name] :
      ( ( ~ ( ( ( late_OutputR @ SV243 @ SV481 )
              = ( late_OutputR @ SV633 @ SV699 ) )
            | ~ ( ( SV243 != SV633 )
                | ( SV481 != SV699 ) ) )
        | ~ ( ( ( late_OutputR @ SV243 @ SV481 )
             != ( late_OutputR @ SV633 @ SV699 ) )
            | ~ ~ ( ( SV243 != SV633 )
                  | ( SV481 != SV699 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2142]) ).

thf(2375,plain,
    ! [SV699: name,SV633: name,SV481: name,SV243: name] :
      ( ( ( ( late_OutputR @ SV243 @ SV481 )
          = ( late_OutputR @ SV633 @ SV699 ) )
        = ( ~ ( ( SV243 != SV633 )
              | ( SV481 != SV699 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2142]) ).

thf(2376,plain,
    ! [SV244: product_unit > late_residual > $o] :
      ( ( ( fresh_1143631827t_unit @ ( sK56_SY1038 @ SV244 ) @ ( sK58_SY1043 @ SV244 ) )
        = $true )
      | ( ( ~ ( SV244 @ ( sK54_SY1037 @ SV244 ) @ ( late_FreeR @ ( sK52_FreeRes2 @ SV244 ) @ ( sK53_SY1035 @ SV244 ) ) )
          | ! [SY1646: product_unit,SY1647: late_residual] : ( SV244 @ SY1646 @ SY1647 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2143]) ).

thf(2377,plain,
    ! [SV244: product_unit > late_residual > $o] :
      ( ( ( ~ ( ~ ( fresh_717452603ubject @ ( sK56_SY1038 @ SV244 ) @ ( sK55_Subject2 @ SV244 ) )
              | ~ ~ ( SV244 @ ( sK58_SY1043 @ SV244 ) @ ( late_BoundR @ ( sK55_Subject2 @ SV244 ) @ ( sK56_SY1038 @ SV244 ) @ ( sK57_SY1041 @ SV244 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV244 @ ( sK54_SY1037 @ SV244 ) @ ( late_FreeR @ ( sK52_FreeRes2 @ SV244 ) @ ( sK53_SY1035 @ SV244 ) ) )
          | ! [SY1646: product_unit,SY1647: late_residual] : ( SV244 @ SY1646 @ SY1647 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2144]) ).

thf(2378,plain,
    ! [SV245: name > late_residual > $o] :
      ( ( ( fresh_name_name @ ( sK14_SY984 @ SV245 ) @ ( sK16_SY989 @ SV245 ) )
        = $true )
      | ( ( ~ ( SV245 @ ( sK12_SY983 @ SV245 ) @ ( late_FreeR @ ( sK10_FreeRes2 @ SV245 ) @ ( sK11_SY981 @ SV245 ) ) )
          | ! [SY1648: name,SY1649: late_residual] : ( SV245 @ SY1648 @ SY1649 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2145]) ).

thf(2379,plain,
    ! [SV245: name > late_residual > $o] :
      ( ( ( ~ ( ~ ( fresh_717452603ubject @ ( sK14_SY984 @ SV245 ) @ ( sK13_Subject2 @ SV245 ) )
              | ~ ~ ( SV245 @ ( sK16_SY989 @ SV245 ) @ ( late_BoundR @ ( sK13_Subject2 @ SV245 ) @ ( sK14_SY984 @ SV245 ) @ ( sK15_SY987 @ SV245 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV245 @ ( sK12_SY983 @ SV245 ) @ ( late_FreeR @ ( sK10_FreeRes2 @ SV245 ) @ ( sK11_SY981 @ SV245 ) ) )
          | ! [SY1648: name,SY1649: late_residual] : ( SV245 @ SY1648 @ SY1649 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2146]) ).

thf(2380,plain,
    ! [SV634: list_pi,SV482: pi,SV246: name] :
      ( ( ( ~ ( ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SV634 ) )
              | ~ ( ~ ( fresh_name_list_pi @ SV246 @ SV634 )
                  | ~ ( fresh_name_pi @ SV246 @ SV482 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SV634 ) )
              | ~ ~ ( ~ ( fresh_name_list_pi @ SV246 @ SV634 )
                    | ~ ( fresh_name_pi @ SV246 @ SV482 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2147]) ).

thf(2381,plain,
    ! [SV483: list_P227219501e_name,SV247: $o] :
      ( ( ~ SV247
        | ! [SY2061: name,SY2062: name] :
            ( ( perm_name_name @ SV483 @ ( if_name @ SV247 @ SY2061 @ SY2062 ) )
            = ( perm_name_name @ SV483 @ SY2061 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2149]) ).

thf(2382,plain,
    ! [SV483: list_P227219501e_name,SV247: $o] :
      ( ( SV247
        | ! [SY2063: name,SY2064: name] :
            ( ( perm_name_name @ SV483 @ ( if_name @ SV247 @ SY2063 @ SY2064 ) )
            = ( perm_name_name @ SV483 @ SY2064 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2150]) ).

thf(2383,plain,
    ! [SV484: list_P227219501e_name] :
      ( ( ~ $true
        | ! [SY2065: name,SY2066: name] :
            ( ( perm_name_name @ SV484 @ ( if_name @ $true @ SY2065 @ SY2066 ) )
            = ( perm_name_name @ SV484 @ SY2065 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2151]) ).

thf(2384,plain,
    ! [SV484: list_P227219501e_name] :
      ( ( $true
        | ! [SY2067: name,SY2068: name] :
            ( ( perm_name_name @ SV484 @ ( if_name @ $true @ SY2067 @ SY2068 ) )
            = ( perm_name_name @ SV484 @ SY2068 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2152]) ).

thf(2385,plain,
    ! [SV485: list_P227219501e_name] :
      ( ( ~ $false
        | ! [SY2069: name,SY2070: name] :
            ( ( perm_name_name @ SV485 @ ( if_name @ $false @ SY2069 @ SY2070 ) )
            = ( perm_name_name @ SV485 @ SY2069 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2153]) ).

thf(2386,plain,
    ! [SV485: list_P227219501e_name] :
      ( ( $false
        | ! [SY2071: name,SY2072: name] :
            ( ( perm_name_name @ SV485 @ ( if_name @ $false @ SY2071 @ SY2072 ) )
            = ( perm_name_name @ SV485 @ SY2072 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2154]) ).

thf(2387,plain,
    ! [SV486: $o,SV248: list_P227219501e_name] :
      ( ( ~ ( perm_name_o @ SV248 @ SV486 )
        | ! [SY2073: late_subject,SY2074: late_subject] :
            ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ SV486 @ SY2073 @ SY2074 ) )
            = ( perm_n1559866809ubject @ SV248 @ SY2073 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2155]) ).

thf(2388,plain,
    ! [SV486: $o,SV248: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV248 @ SV486 )
        | ! [SY2075: late_subject,SY2076: late_subject] :
            ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ SV486 @ SY2075 @ SY2076 ) )
            = ( perm_n1559866809ubject @ SV248 @ SY2076 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2156]) ).

thf(2389,plain,
    ! [SV248: list_P227219501e_name] :
      ( ( ~ ( perm_name_o @ SV248 @ $true )
        | ! [SX0: late_subject,SX1: late_subject] :
            ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ $true @ SX0 @ SX1 ) )
            = ( perm_n1559866809ubject @ SV248 @ SX0 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2157]) ).

thf(2390,plain,
    ! [SV248: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV248 @ $true )
        | ! [SX0: late_subject,SX1: late_subject] :
            ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ $true @ SX0 @ SX1 ) )
            = ( perm_n1559866809ubject @ SV248 @ SX1 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2158]) ).

thf(2391,plain,
    ! [SV248: list_P227219501e_name] :
      ( ( ~ ( perm_name_o @ SV248 @ $false )
        | ! [SX0: late_subject,SX1: late_subject] :
            ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ $false @ SX0 @ SX1 ) )
            = ( perm_n1559866809ubject @ SV248 @ SX0 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2159]) ).

thf(2392,plain,
    ! [SV248: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV248 @ $false )
        | ! [SX0: late_subject,SX1: late_subject] :
            ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ $false @ SX0 @ SX1 ) )
            = ( perm_n1559866809ubject @ SV248 @ SX1 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2160]) ).

thf(2393,plain,
    ! [SV487: $o,SV249: list_P227219501e_name] :
      ( ( ~ ( perm_name_o @ SV249 @ SV487 )
        | ! [SY2077: pi,SY2078: pi] :
            ( ( perm_name_pi @ SV249 @ ( if_pi @ SV487 @ SY2077 @ SY2078 ) )
            = ( perm_name_pi @ SV249 @ SY2077 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2161]) ).

thf(2394,plain,
    ! [SV487: $o,SV249: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV249 @ SV487 )
        | ! [SY2079: pi,SY2080: pi] :
            ( ( perm_name_pi @ SV249 @ ( if_pi @ SV487 @ SY2079 @ SY2080 ) )
            = ( perm_name_pi @ SV249 @ SY2080 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2162]) ).

thf(2395,plain,
    ! [SV249: list_P227219501e_name] :
      ( ( ~ ( perm_name_o @ SV249 @ $true )
        | ! [SX0: pi,SX1: pi] :
            ( ( perm_name_pi @ SV249 @ ( if_pi @ $true @ SX0 @ SX1 ) )
            = ( perm_name_pi @ SV249 @ SX0 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2163]) ).

thf(2396,plain,
    ! [SV249: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV249 @ $true )
        | ! [SX0: pi,SX1: pi] :
            ( ( perm_name_pi @ SV249 @ ( if_pi @ $true @ SX0 @ SX1 ) )
            = ( perm_name_pi @ SV249 @ SX1 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2164]) ).

thf(2397,plain,
    ! [SV249: list_P227219501e_name] :
      ( ( ~ ( perm_name_o @ SV249 @ $false )
        | ! [SX0: pi,SX1: pi] :
            ( ( perm_name_pi @ SV249 @ ( if_pi @ $false @ SX0 @ SX1 ) )
            = ( perm_name_pi @ SV249 @ SX0 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2165]) ).

thf(2398,plain,
    ! [SV249: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV249 @ $false )
        | ! [SX0: pi,SX1: pi] :
            ( ( perm_name_pi @ SV249 @ ( if_pi @ $false @ SX0 @ SX1 ) )
            = ( perm_name_pi @ SV249 @ SX1 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2166]) ).

thf(2399,plain,
    ! [SV770: name,SV700: late_subject,SV635: pi,SV488: name,SV250: name] :
      ( ( ~ ( ~ ! [SY2355: pi] :
                  ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SY2355 ) )
                  | ( SV770 = SV250 )
                  | ( SV770 = SV488 )
                  | ~ ( fresh_name_pi @ SV770 @ SV635 )
                  | ( SV700
                    = ( late_InputS @ SV250 ) )
                  | ! [SY2356: late_subject > name > pi > $o] : ( SY2356 @ SV700 @ SV770 @ SY2355 ) )
            | ~ ~ ( ~ ! [SY2357: pi] :
                        ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SY2357 ) )
                        | ( SV770 = SV250 )
                        | ( SV770 = SV488 )
                        | ~ ( fresh_name_pi @ SV770 @ SV635 )
                        | ( SY2357
                          = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
                        | ! [SY2358: late_subject > name > pi > $o] : ( SY2358 @ SV700 @ SV770 @ SY2357 ) )
                  | ~ ! [SY2359: pi] :
                        ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SY2359 ) )
                        | ( SV770 = SV250 )
                        | ( SV770 = SV488 )
                        | ~ ( fresh_name_pi @ SV770 @ SV635 )
                        | ! [SY2360: late_subject > name > pi > $o] :
                            ( ~ ( SY2360 @ ( late_InputS @ SV250 ) @ SV770 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
                            | ( SY2360 @ SV700 @ SV770 @ SY2359 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2167]) ).

thf(2400,plain,
    ! [SV636: name,SV489: name,SV251: name] :
      ( ( ( ~ ( ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SV636 ) )
              | ~ ( ~ ( fresh_name_name @ SV251 @ SV489 )
                  | ~ ( fresh_name_name @ SV251 @ SV636 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SV636 ) )
              | ~ ~ ( ~ ( fresh_name_name @ SV251 @ SV489 )
                    | ~ ( fresh_name_name @ SV251 @ SV636 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2168]) ).

thf(2401,plain,
    ! [SV701: pi,SV637: late_freeRes,SV490: pi,SV252: name] :
      ( ( ( ~ ( late_transitions @ ( res @ SV252 @ SV490 ) @ ( late_FreeR @ SV637 @ SV701 ) ) )
        = $true )
      | ( ( ! [SY2322: pi > $o] :
              ( ~ ( ~ ( late_transitions @ SV490 @ ( late_FreeR @ SV637 @ ( sK117_P4 @ SY2322 @ SV701 @ SV637 @ SV490 @ SV252 ) ) )
                  | ~ ~ ( ~ ( fresh_1641682979reeRes @ SV252 @ SV637 )
                        | ~ ~ ( SY2322 @ ( res @ SV252 @ ( sK117_P4 @ SY2322 @ SV701 @ SV637 @ SV490 @ SV252 ) ) ) ) )
              | ( SY2322 @ SV701 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2170]) ).

thf(2402,plain,
    ! [SV771: pi,SV702: name,SV638: late_subject,SV491: pi,SV253: name] :
      ( ( ~ ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        | ( SV702 = SV253 )
        | ~ ( fresh_name_pi @ SV702 @ SV491 )
        | ! [SY2361: late_subject > pi > $o] :
            ( ~ ( ~ ( late_transitions @ SV491 @ ( late_FreeR @ ( late_OutputR @ ( sK60_B2 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) @ SV253 ) @ ( sK61_SY1044 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
                | ~ ~ ( ~ ( ( ( sK60_B2 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 )
                           != SV253 ) )
                      | ~ ~ ( ( SV638
                             != ( late_BoundOutputS @ ( sK60_B2 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
                            | ~ ~ ( SY2361 @ ( late_BoundOutputS @ ( sK60_B2 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV702 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) ) )
            | ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
                | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                      | ~ ~ ( SY2361 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
            | ( SY2361 @ SV638 @ SV771 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2171]) ).

thf(2403,plain,
    ! [SV492: list_P227219501e_name,SV254: $o] :
      ( ( ~ SV254
        | ! [SY2098: late_subject,SY2099: late_subject] :
            ( ( perm_n1559866809ubject @ SV492 @ ( if_Late_subject @ SV254 @ SY2098 @ SY2099 ) )
            = ( perm_n1559866809ubject @ SV492 @ SY2098 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2172]) ).

thf(2404,plain,
    ! [SV492: list_P227219501e_name,SV254: $o] :
      ( ( SV254
        | ! [SY2100: late_subject,SY2101: late_subject] :
            ( ( perm_n1559866809ubject @ SV492 @ ( if_Late_subject @ SV254 @ SY2100 @ SY2101 ) )
            = ( perm_n1559866809ubject @ SV492 @ SY2101 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2173]) ).

thf(2405,plain,
    ! [SV493: list_P227219501e_name] :
      ( ( ~ $true
        | ! [SY2102: late_subject,SY2103: late_subject] :
            ( ( perm_n1559866809ubject @ SV493 @ ( if_Late_subject @ $true @ SY2102 @ SY2103 ) )
            = ( perm_n1559866809ubject @ SV493 @ SY2102 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2174]) ).

thf(2406,plain,
    ! [SV493: list_P227219501e_name] :
      ( ( $true
        | ! [SY2104: late_subject,SY2105: late_subject] :
            ( ( perm_n1559866809ubject @ SV493 @ ( if_Late_subject @ $true @ SY2104 @ SY2105 ) )
            = ( perm_n1559866809ubject @ SV493 @ SY2105 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2175]) ).

thf(2407,plain,
    ! [SV494: list_P227219501e_name] :
      ( ( ~ $false
        | ! [SY2106: late_subject,SY2107: late_subject] :
            ( ( perm_n1559866809ubject @ SV494 @ ( if_Late_subject @ $false @ SY2106 @ SY2107 ) )
            = ( perm_n1559866809ubject @ SV494 @ SY2106 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2176]) ).

thf(2408,plain,
    ! [SV494: list_P227219501e_name] :
      ( ( $false
        | ! [SY2108: late_subject,SY2109: late_subject] :
            ( ( perm_n1559866809ubject @ SV494 @ ( if_Late_subject @ $false @ SY2108 @ SY2109 ) )
            = ( perm_n1559866809ubject @ SV494 @ SY2109 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2177]) ).

thf(2409,plain,
    ! [SV703: pi,SV639: pi,SV495: pi,SV255: pi] :
      ( ( ~ ( ( ( par @ SV255 @ SV495 )
              = ( par @ SV639 @ SV703 ) )
            | ~ ( ( SV255 != SV639 )
                | ( SV495 != SV703 ) ) )
        | ~ ( ( ( par @ SV255 @ SV495 )
             != ( par @ SV639 @ SV703 ) )
            | ~ ~ ( ( SV255 != SV639 )
                  | ( SV495 != SV703 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2178]) ).

thf(2410,plain,
    ! [SV703: pi,SV639: pi,SV495: pi,SV255: pi] :
      ( ( ( ( par @ SV255 @ SV495 )
          = ( par @ SV639 @ SV703 ) )
        = ( ~ ( ( SV255 != SV639 )
              | ( SV495 != SV703 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2178]) ).

thf(2411,plain,
    ! [SV704: late_subject,SV640: pi,SV496: set_Pr1834926343_pi_pi,SV256: pi] :
      ( ( ( ~ ( strong743114133lation @ SV256 @ SV496 @ SV640 ) )
        = $true )
      | ( ( ! [SY2325: name,SY2326: pi] :
              ( ~ ( late_transitions @ SV640 @ ( late_BoundR @ SV704 @ SY2325 @ SY2326 ) )
              | ~ ( fresh_name_pi @ SY2325 @ SV256 )
              | ~ ( ~ ( late_transitions @ SV256 @ ( late_BoundR @ SV704 @ SY2325 @ ( sK92_P4 @ SY2326 @ SY2325 @ SV704 @ SV640 @ SV496 @ SV256 ) ) )
                  | ~ ( strong2129052853vative @ ( sK92_P4 @ SY2326 @ SY2325 @ SV704 @ SV640 @ SV496 @ SV256 ) @ SY2326 @ SV704 @ SY2325 @ SV496 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2179]) ).

thf(2412,plain,
    ! [SV705: pi,SV641: late_freeRes,SV497: pi,SV257: late_freeRes] :
      ( ( ~ ( ( ( late_FreeR @ SV257 @ SV497 )
              = ( late_FreeR @ SV641 @ SV705 ) )
            | ~ ( ( SV257 != SV641 )
                | ( SV497 != SV705 ) ) )
        | ~ ( ( ( late_FreeR @ SV257 @ SV497 )
             != ( late_FreeR @ SV641 @ SV705 ) )
            | ~ ~ ( ( SV257 != SV641 )
                  | ( SV497 != SV705 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2180]) ).

thf(2413,plain,
    ! [SV705: pi,SV641: late_freeRes,SV497: pi,SV257: late_freeRes] :
      ( ( ( ( late_FreeR @ SV257 @ SV497 )
          = ( late_FreeR @ SV641 @ SV705 ) )
        = ( ~ ( ( SV257 != SV641 )
              | ( SV497 != SV705 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2180]) ).

thf(2414,plain,
    ! [SV706: pi,SV642: late_freeRes,SV498: pi,SV258: name] :
      ( ( ( ~ ( late_transitions @ ( res @ SV258 @ SV498 ) @ ( late_FreeR @ SV642 @ SV706 ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV258 @ SV498 )
               != ( res @ ( sK116_SY1113 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK113_P5 @ SV706 @ SV642 @ SV498 @ SV258 ) ) )
              | ~ ~ ( ( ( late_FreeR @ SV642 @ SV706 )
                     != ( late_FreeR @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( res @ ( sK116_SY1113 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK115_SY1111 @ SV706 @ SV642 @ SV498 @ SV258 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK113_P5 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( late_FreeR @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK115_SY1111 @ SV706 @ SV642 @ SV498 @ SV258 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK116_SY1113 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2181]) ).

thf(2415,plain,
    ! [SV259: product_unit > late_residual > $o] :
      ( ( ( fresh_1143631827t_unit @ ( sK28_SY1002 @ SV259 ) @ ( sK30_SY1007 @ SV259 ) )
        = $true )
      | ( ( ~ ( SV259 @ ( sK26_SY1001 @ SV259 ) @ ( late_FreeR @ ( sK24_FreeRes2 @ SV259 ) @ ( sK25_SY999 @ SV259 ) ) )
          | ! [SY1707: product_unit,SY1708: late_residual] : ( SV259 @ SY1707 @ SY1708 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2182]) ).

thf(2416,plain,
    ! [SV259: product_unit > late_residual > $o] :
      ( ( ( ~ ( ~ ( fresh_717452603ubject @ ( sK28_SY1002 @ SV259 ) @ ( sK27_Subject2 @ SV259 ) )
              | ~ ~ ( SV259 @ ( sK30_SY1007 @ SV259 ) @ ( late_BoundR @ ( sK27_Subject2 @ SV259 ) @ ( sK28_SY1002 @ SV259 ) @ ( sK29_SY1005 @ SV259 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV259 @ ( sK26_SY1001 @ SV259 ) @ ( late_FreeR @ ( sK24_FreeRes2 @ SV259 ) @ ( sK25_SY999 @ SV259 ) ) )
          | ! [SY1707: product_unit,SY1708: late_residual] : ( SV259 @ SY1707 @ SY1708 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2183]) ).

thf(2417,plain,
    ! [SV260: pi > late_residual > $o] :
      ( ( ( fresh_name_pi @ ( sK7_SY975 @ SV260 ) @ ( sK9_SY980 @ SV260 ) )
        = $true )
      | ( ( ~ ( SV260 @ ( sK5_SY974 @ SV260 ) @ ( late_FreeR @ ( sK3_FreeRes2 @ SV260 ) @ ( sK4_SY972 @ SV260 ) ) )
          | ! [SY1709: pi,SY1710: late_residual] : ( SV260 @ SY1709 @ SY1710 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2184]) ).

thf(2418,plain,
    ! [SV260: pi > late_residual > $o] :
      ( ( ( ~ ( ~ ( fresh_717452603ubject @ ( sK7_SY975 @ SV260 ) @ ( sK6_Subject2 @ SV260 ) )
              | ~ ~ ( SV260 @ ( sK9_SY980 @ SV260 ) @ ( late_BoundR @ ( sK6_Subject2 @ SV260 ) @ ( sK7_SY975 @ SV260 ) @ ( sK8_SY978 @ SV260 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV260 @ ( sK5_SY974 @ SV260 ) @ ( late_FreeR @ ( sK3_FreeRes2 @ SV260 ) @ ( sK4_SY972 @ SV260 ) ) )
          | ! [SY1709: pi,SY1710: late_residual] : ( SV260 @ SY1709 @ SY1710 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2185]) ).

thf(2419,plain,
    ! [SV772: name,SV261: name] :
      ( ( ( SV261 != SV772 )
        | ! [SY2362: name] :
            ( ( swap_name2 @ ( produc1570949143e_name @ SV261 @ SY2362 ) @ SV772 )
            = SY2362 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2186]) ).

thf(2420,plain,
    ! [SV261: name] :
      ( ( ~ ! [SY1713: name] :
              ( ( SV261 = SY1713 )
              | ! [SY1714: name] :
                  ( ( SY1714 != SY1713 )
                  | ( ( swap_name2 @ ( produc1570949143e_name @ SV261 @ SY1714 ) @ SY1713 )
                    = SV261 ) ) )
        | ~ ! [SY1715: name] :
              ( ( SV261 = SY1715 )
              | ! [SY1716: name] :
                  ( ( SY1716 = SY1715 )
                  | ( ( swap_name2 @ ( produc1570949143e_name @ SV261 @ SY1716 ) @ SY1715 )
                    = SY1715 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2187]) ).

thf(2421,plain,
    ! [SV499: $o,SV262: list_P227219501e_name] :
      ( ( ~ ( perm_name_o @ SV262 @ SV499 )
        | ! [SY2120: name,SY2121: name] :
            ( ( perm_name_name @ SV262 @ ( if_name @ SV499 @ SY2120 @ SY2121 ) )
            = ( perm_name_name @ SV262 @ SY2120 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2188]) ).

thf(2422,plain,
    ! [SV499: $o,SV262: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV262 @ SV499 )
        | ! [SY2122: name,SY2123: name] :
            ( ( perm_name_name @ SV262 @ ( if_name @ SV499 @ SY2122 @ SY2123 ) )
            = ( perm_name_name @ SV262 @ SY2123 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2189]) ).

thf(2423,plain,
    ! [SV262: list_P227219501e_name] :
      ( ( ~ ( perm_name_o @ SV262 @ $true )
        | ! [SX0: name,SX1: name] :
            ( ( perm_name_name @ SV262 @ ( if_name @ $true @ SX0 @ SX1 ) )
            = ( perm_name_name @ SV262 @ SX0 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2190]) ).

thf(2424,plain,
    ! [SV262: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV262 @ $true )
        | ! [SX0: name,SX1: name] :
            ( ( perm_name_name @ SV262 @ ( if_name @ $true @ SX0 @ SX1 ) )
            = ( perm_name_name @ SV262 @ SX1 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2191]) ).

thf(2425,plain,
    ! [SV262: list_P227219501e_name] :
      ( ( ~ ( perm_name_o @ SV262 @ $false )
        | ! [SX0: name,SX1: name] :
            ( ( perm_name_name @ SV262 @ ( if_name @ $false @ SX0 @ SX1 ) )
            = ( perm_name_name @ SV262 @ SX0 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2192]) ).

thf(2426,plain,
    ! [SV262: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV262 @ $false )
        | ! [SX0: name,SX1: name] :
            ( ( perm_name_name @ SV262 @ ( if_name @ $false @ SX0 @ SX1 ) )
            = ( perm_name_name @ SV262 @ SX1 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2193]) ).

thf(2427,plain,
    ! [SV500: list_P227219501e_name,SV263: $o] :
      ( ( ~ SV263
        | ! [SY2124: pi_Rep,SY2125: pi_Rep] :
            ( ( perm_name_pi_Rep @ SV500 @ ( if_pi_Rep @ SV263 @ SY2124 @ SY2125 ) )
            = ( perm_name_pi_Rep @ SV500 @ SY2124 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2194]) ).

thf(2428,plain,
    ! [SV500: list_P227219501e_name,SV263: $o] :
      ( ( SV263
        | ! [SY2126: pi_Rep,SY2127: pi_Rep] :
            ( ( perm_name_pi_Rep @ SV500 @ ( if_pi_Rep @ SV263 @ SY2126 @ SY2127 ) )
            = ( perm_name_pi_Rep @ SV500 @ SY2127 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2195]) ).

thf(2429,plain,
    ! [SV501: list_P227219501e_name] :
      ( ( ~ $true
        | ! [SY2128: pi_Rep,SY2129: pi_Rep] :
            ( ( perm_name_pi_Rep @ SV501 @ ( if_pi_Rep @ $true @ SY2128 @ SY2129 ) )
            = ( perm_name_pi_Rep @ SV501 @ SY2128 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2196]) ).

thf(2430,plain,
    ! [SV501: list_P227219501e_name] :
      ( ( $true
        | ! [SY2130: pi_Rep,SY2131: pi_Rep] :
            ( ( perm_name_pi_Rep @ SV501 @ ( if_pi_Rep @ $true @ SY2130 @ SY2131 ) )
            = ( perm_name_pi_Rep @ SV501 @ SY2131 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2197]) ).

thf(2431,plain,
    ! [SV502: list_P227219501e_name] :
      ( ( ~ $false
        | ! [SY2132: pi_Rep,SY2133: pi_Rep] :
            ( ( perm_name_pi_Rep @ SV502 @ ( if_pi_Rep @ $false @ SY2132 @ SY2133 ) )
            = ( perm_name_pi_Rep @ SV502 @ SY2132 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2198]) ).

thf(2432,plain,
    ! [SV502: list_P227219501e_name] :
      ( ( $false
        | ! [SY2134: pi_Rep,SY2135: pi_Rep] :
            ( ( perm_name_pi_Rep @ SV502 @ ( if_pi_Rep @ $false @ SY2134 @ SY2135 ) )
            = ( perm_name_pi_Rep @ SV502 @ SY2135 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2199]) ).

thf(2433,plain,
    ! [SV707: name,SV643: name,SV503: name,SV264: name] :
      ( ( ~ ( ( ( late_OutputR @ SV264 @ SV503 )
              = ( late_OutputR @ SV643 @ SV707 ) )
            | ~ ( ( SV264 != SV643 )
                | ( SV503 != SV707 ) ) )
        | ~ ( ( ( late_OutputR @ SV264 @ SV503 )
             != ( late_OutputR @ SV643 @ SV707 ) )
            | ~ ~ ( ( SV264 != SV643 )
                  | ( SV503 != SV707 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2200]) ).

thf(2434,plain,
    ! [SV707: name,SV643: name,SV503: name,SV264: name] :
      ( ( ( ( late_OutputR @ SV264 @ SV503 )
          = ( late_OutputR @ SV643 @ SV707 ) )
        = ( ~ ( ( SV264 != SV643 )
              | ( SV503 != SV707 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2200]) ).

thf(2435,plain,
    ! [SV265: name > late_residual > $o] :
      ( ( ( fresh_name_name @ ( sK42_SY1020 @ SV265 ) @ ( sK44_SY1025 @ SV265 ) )
        = $true )
      | ( ( ~ ( SV265 @ ( sK40_SY1019 @ SV265 ) @ ( late_FreeR @ ( sK38_FreeRes2 @ SV265 ) @ ( sK39_SY1017 @ SV265 ) ) )
          | ! [SY1730: name,SY1731: late_residual] : ( SV265 @ SY1730 @ SY1731 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2201]) ).

thf(2436,plain,
    ! [SV265: name > late_residual > $o] :
      ( ( ( ~ ( ~ ( fresh_717452603ubject @ ( sK42_SY1020 @ SV265 ) @ ( sK41_Subject2 @ SV265 ) )
              | ~ ~ ( SV265 @ ( sK44_SY1025 @ SV265 ) @ ( late_BoundR @ ( sK41_Subject2 @ SV265 ) @ ( sK42_SY1020 @ SV265 ) @ ( sK43_SY1023 @ SV265 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV265 @ ( sK40_SY1019 @ SV265 ) @ ( late_FreeR @ ( sK38_FreeRes2 @ SV265 ) @ ( sK39_SY1017 @ SV265 ) ) )
          | ! [SY1730: name,SY1731: late_residual] : ( SV265 @ SY1730 @ SY1731 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2202]) ).

thf(2437,plain,
    ! [SV645: name,SV289: name,SV773: pi,SV24: name] :
      ( ( ( ( subs @ ( res @ SV24 @ SV773 ) @ SV289 @ SV645 )
          = ( res @ SV24 @ ( subs @ SV773 @ SV289 @ SV645 ) ) )
        = $true )
      | ( ( SV24 = SV645 )
        = $true )
      | ( ( SV24 = SV289 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2203]) ).

thf(2438,plain,
    ! [SV33: name,SV292: late_subject,SV708: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV708 @ SV292 ) )
        = $true )
      | ( ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV33 @ SV708 ) @ nil_Pr743626285e_name ) @ SV292 )
          = SV292 )
        = $true )
      | ( ( fresh_717452603ubject @ SV33 @ SV292 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2204]) ).

thf(2439,plain,
    ! [SV34: name,SV293: late_freeRes,SV709: name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ SV709 @ SV293 ) )
        = $true )
      | ( ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV34 @ SV709 ) @ nil_Pr743626285e_name ) @ SV293 )
          = SV293 )
        = $true )
      | ( ( fresh_1641682979reeRes @ SV34 @ SV293 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2205]) ).

thf(2440,plain,
    ! [SV35: name,SV294: pi_Rep,SV710: name] :
      ( ( ( ~ ( fresh_name_pi_Rep @ SV710 @ SV294 ) )
        = $true )
      | ( ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV35 @ SV710 ) @ nil_Pr743626285e_name ) @ SV294 )
          = SV294 )
        = $true )
      | ( ( fresh_name_pi_Rep @ SV35 @ SV294 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2206]) ).

thf(2441,plain,
    ! [SV36: name,SV295: product_unit,SV711: name] :
      ( ( ( ~ ( fresh_1143631827t_unit @ SV711 @ SV295 ) )
        = $true )
      | ( ( ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV36 @ SV711 ) @ nil_Pr743626285e_name ) @ SV295 )
          = SV295 )
        = $true )
      | ( ( fresh_1143631827t_unit @ SV36 @ SV295 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2207]) ).

thf(2442,plain,
    ! [SV37: name,SV296: produc1141751126_pi_pi,SV712: name] :
      ( ( ( ~ ( fresh_1376661020_pi_pi @ SV712 @ SV296 ) )
        = $true )
      | ( ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV37 @ SV712 ) @ nil_Pr743626285e_name ) @ SV296 )
          = SV296 )
        = $true )
      | ( ( fresh_1376661020_pi_pi @ SV37 @ SV296 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2208]) ).

thf(2443,plain,
    ! [SV38: name,SV297: name,SV713: name] :
      ( ( ( ~ ( fresh_name_name @ SV713 @ SV297 ) )
        = $true )
      | ( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV38 @ SV713 ) @ nil_Pr743626285e_name ) @ SV297 )
          = SV297 )
        = $true )
      | ( ( fresh_name_name @ SV38 @ SV297 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2209]) ).

thf(2444,plain,
    ! [SV39: name,SV298: pi,SV714: name] :
      ( ( ( ~ ( fresh_name_pi @ SV714 @ SV298 ) )
        = $true )
      | ( ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV39 @ SV714 ) @ nil_Pr743626285e_name ) @ SV298 )
          = SV298 )
        = $true )
      | ( ( fresh_name_pi @ SV39 @ SV298 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2210]) ).

thf(2445,plain,
    ! [SV40: name,SV299: name > noption_pi,SV715: name] :
      ( ( ( ~ ( fresh_543891186ion_pi @ SV715 @ SV299 ) )
        = $true )
      | ( ( ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV40 @ SV715 ) @ nil_Pr743626285e_name ) @ SV299 )
          = SV299 )
        = $true )
      | ( ( fresh_543891186ion_pi @ SV40 @ SV299 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2211]) ).

thf(2446,plain,
    ! [SV41: name,SV300: late_subject,SV716: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV716 @ SV300 ) )
        = $true )
      | ( ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV41 @ SV716 ) @ nil_Pr743626285e_name ) @ SV300 )
          = SV300 )
        = $true )
      | ( ( fresh_717452603ubject @ SV41 @ SV300 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2212]) ).

thf(2447,plain,
    ! [SV42: name,SV301: late_freeRes,SV717: name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ SV717 @ SV301 ) )
        = $true )
      | ( ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV42 @ SV717 ) @ nil_Pr743626285e_name ) @ SV301 )
          = SV301 )
        = $true )
      | ( ( fresh_1641682979reeRes @ SV42 @ SV301 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2213]) ).

thf(2448,plain,
    ! [SV43: name,SV302: pi_Rep,SV718: name] :
      ( ( ( ~ ( fresh_name_pi_Rep @ SV718 @ SV302 ) )
        = $true )
      | ( ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV43 @ SV718 ) @ nil_Pr743626285e_name ) @ SV302 )
          = SV302 )
        = $true )
      | ( ( fresh_name_pi_Rep @ SV43 @ SV302 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2214]) ).

thf(2449,plain,
    ! [SV44: name,SV303: product_unit,SV719: name] :
      ( ( ( ~ ( fresh_1143631827t_unit @ SV719 @ SV303 ) )
        = $true )
      | ( ( ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV44 @ SV719 ) @ nil_Pr743626285e_name ) @ SV303 )
          = SV303 )
        = $true )
      | ( ( fresh_1143631827t_unit @ SV44 @ SV303 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2215]) ).

thf(2450,plain,
    ! [SV45: name,SV304: produc1141751126_pi_pi,SV720: name] :
      ( ( ( ~ ( fresh_1376661020_pi_pi @ SV720 @ SV304 ) )
        = $true )
      | ( ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV45 @ SV720 ) @ nil_Pr743626285e_name ) @ SV304 )
          = SV304 )
        = $true )
      | ( ( fresh_1376661020_pi_pi @ SV45 @ SV304 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2216]) ).

thf(2451,plain,
    ! [SV46: name,SV305: name,SV721: name] :
      ( ( ( ~ ( fresh_name_name @ SV721 @ SV305 ) )
        = $true )
      | ( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV46 @ SV721 ) @ nil_Pr743626285e_name ) @ SV305 )
          = SV305 )
        = $true )
      | ( ( fresh_name_name @ SV46 @ SV305 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2217]) ).

thf(2452,plain,
    ! [SV47: name,SV306: pi,SV722: name] :
      ( ( ( ~ ( fresh_name_pi @ SV722 @ SV306 ) )
        = $true )
      | ( ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV47 @ SV722 ) @ nil_Pr743626285e_name ) @ SV306 )
          = SV306 )
        = $true )
      | ( ( fresh_name_pi @ SV47 @ SV306 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2218]) ).

thf(2453,plain,
    ! [SV48: name,SV307: name > noption_pi,SV723: name] :
      ( ( ( ~ ( fresh_543891186ion_pi @ SV723 @ SV307 ) )
        = $true )
      | ( ( ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV48 @ SV723 ) @ nil_Pr743626285e_name ) @ SV307 )
          = SV307 )
        = $true )
      | ( ( fresh_543891186ion_pi @ SV48 @ SV307 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2219]) ).

thf(2454,plain,
    ! [SV308: list_P227219501e_name,SV724: pi,SV49: name] :
      ( ( ( ~ ( fresh_name_pi @ SV49 @ SV724 ) )
        = $true )
      | ( ( fresh_name_pi @ SV49 @ ( perm_name_pi @ SV308 @ SV724 ) )
        = $true )
      | ( ( fresh_922791155e_name @ SV49 @ SV308 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2220]) ).

thf(2455,plain,
    ! [SV523: pi,SV309: name,SV50: list_P227219501e_name] :
      ( ( ( ( fresh_name_pi @ ( perm_name_name @ SV50 @ SV309 ) @ ( perm_name_pi @ SV50 @ SV523 ) )
          | ( fresh_name_pi @ SV309 @ SV523 ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_name_pi @ ( perm_name_name @ SV50 @ SV309 ) @ ( perm_name_pi @ SV50 @ SV523 ) )
              | ~ ( fresh_name_pi @ SV309 @ SV523 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2221]) ).

thf(2456,plain,
    ! [SV312: pi,SV725: name,SV53: name] :
      ( ( ( SV53 = SV725 )
        = $true )
      | ( ( ! [SY2327: name] : ( fresh_name_pi @ SV53 @ ( subs @ SV312 @ SY2327 @ SV725 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV53 @ SV312 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2222]) ).

thf(2457,plain,
    ! [SV62: name,SV649: late_subject,SV320: name] :
      ( ( ( fresh_717452603ubject @ SV320 @ SV649 )
        = $false )
      | ( ( ~ ( fresh_717452603ubject @ SV62 @ SV649 )
          | ! [SY2255: name] : ( fresh_717452603ubject @ SV62 @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV320 @ SY2255 ) @ nil_Pr743626285e_name ) @ SV649 ) ) )
        = $true )
      | ( ( SV62 = SV320 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2227]) ).

thf(2458,plain,
    ! [SV63: name,SV650: late_freeRes,SV321: name] :
      ( ( ( fresh_1641682979reeRes @ SV321 @ SV650 )
        = $false )
      | ( ( ~ ( fresh_1641682979reeRes @ SV63 @ SV650 )
          | ! [SY2256: name] : ( fresh_1641682979reeRes @ SV63 @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV321 @ SY2256 ) @ nil_Pr743626285e_name ) @ SV650 ) ) )
        = $true )
      | ( ( SV63 = SV321 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2228]) ).

thf(2459,plain,
    ! [SV64: name,SV651: pi_Rep,SV322: name] :
      ( ( ( fresh_name_pi_Rep @ SV322 @ SV651 )
        = $false )
      | ( ( ~ ( fresh_name_pi_Rep @ SV64 @ SV651 )
          | ! [SY2257: name] : ( fresh_name_pi_Rep @ SV64 @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV322 @ SY2257 ) @ nil_Pr743626285e_name ) @ SV651 ) ) )
        = $true )
      | ( ( SV64 = SV322 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2229]) ).

thf(2460,plain,
    ! [SV65: name,SV652: product_unit,SV323: name] :
      ( ( ( fresh_1143631827t_unit @ SV323 @ SV652 )
        = $false )
      | ( ( ~ ( fresh_1143631827t_unit @ SV65 @ SV652 )
          | ! [SY2258: name] : ( fresh_1143631827t_unit @ SV65 @ ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV323 @ SY2258 ) @ nil_Pr743626285e_name ) @ SV652 ) ) )
        = $true )
      | ( ( SV65 = SV323 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2230]) ).

thf(2461,plain,
    ! [SV66: name,SV653: produc1141751126_pi_pi,SV324: name] :
      ( ( ( fresh_1376661020_pi_pi @ SV324 @ SV653 )
        = $false )
      | ( ( ~ ( fresh_1376661020_pi_pi @ SV66 @ SV653 )
          | ! [SY2259: name] : ( fresh_1376661020_pi_pi @ SV66 @ ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV324 @ SY2259 ) @ nil_Pr743626285e_name ) @ SV653 ) ) )
        = $true )
      | ( ( SV66 = SV324 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2231]) ).

thf(2462,plain,
    ! [SV67: name,SV654: name,SV325: name] :
      ( ( ( fresh_name_name @ SV325 @ SV654 )
        = $false )
      | ( ( ~ ( fresh_name_name @ SV67 @ SV654 )
          | ! [SY2260: name] : ( fresh_name_name @ SV67 @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV325 @ SY2260 ) @ nil_Pr743626285e_name ) @ SV654 ) ) )
        = $true )
      | ( ( SV67 = SV325 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2232]) ).

thf(2463,plain,
    ! [SV68: name,SV655: pi,SV326: name] :
      ( ( ( fresh_name_pi @ SV326 @ SV655 )
        = $false )
      | ( ( ~ ( fresh_name_pi @ SV68 @ SV655 )
          | ! [SY2261: name] : ( fresh_name_pi @ SV68 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV326 @ SY2261 ) @ nil_Pr743626285e_name ) @ SV655 ) ) )
        = $true )
      | ( ( SV68 = SV326 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2233]) ).

thf(2464,plain,
    ! [SV69: name,SV656: name > noption_pi,SV327: name] :
      ( ( ( fresh_543891186ion_pi @ SV327 @ SV656 )
        = $false )
      | ( ( ~ ( fresh_543891186ion_pi @ SV69 @ SV656 )
          | ! [SY2262: name] : ( fresh_543891186ion_pi @ SV69 @ ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV327 @ SY2262 ) @ nil_Pr743626285e_name ) @ SV656 ) ) )
        = $true )
      | ( ( SV69 = SV327 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2234]) ).

thf(2465,plain,
    ! [SV528: pi,SV331: pi,SV73: list_P227219501e_name] :
      ( ( ( ( ( perm_name_pi @ SV73 @ SV331 )
            = ( perm_name_pi @ SV73 @ SV528 ) )
          | ( SV331 = SV528 ) )
        = $false )
      | ( ( ~ ( ( ( perm_name_pi @ SV73 @ SV331 )
               != ( perm_name_pi @ SV73 @ SV528 ) )
              | ( SV331 != SV528 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2235]) ).

thf(2466,plain,
    ! [SV531: pi,SV334: pi,SV76: list_P227219501e_name] :
      ( ( ( ( perm_name_o @ SV76 @ ( SV334 = SV531 ) )
          | ( ( perm_name_pi @ SV76 @ SV334 )
            = ( perm_name_pi @ SV76 @ SV531 ) ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV76 @ ( SV334 = SV531 ) )
              | ( ( perm_name_pi @ SV76 @ SV334 )
               != ( perm_name_pi @ SV76 @ SV531 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2236]) ).

thf(2467,plain,
    ! [SV79: name,SV774: name,SV731: name,SV337: pi] :
      ( ( ( ( subs @ SV337 @ SV731 @ SV774 )
          = ( subs @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV79 @ SV731 ) @ nil_Pr743626285e_name ) @ SV337 ) @ SV79 @ SV774 ) )
        = $true )
      | ( ( fresh_name_pi @ SV79 @ SV337 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2239]) ).

thf(2468,plain,
    ! [SV86: name,SV344: pi,SV775: name,SV732: late_subject] :
      ( ( ( ( late_BoundR @ SV732 @ SV775 @ SV344 )
          = ( late_BoundR @ SV732 @ SV86 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV775 @ SV86 ) @ nil_Pr743626285e_name ) @ SV344 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV86 @ SV344 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2241]) ).

thf(2469,plain,
    ! [SV345: name,SV90: name] :
      ( ( ( ( late_BoundOutputS @ SV90 )
          = ( late_BoundOutputS @ SV345 ) )
        = $false )
      | ( ( ~ ( ( ( late_BoundOutputS @ SV90 )
               != ( late_BoundOutputS @ SV345 ) )
              | ( SV90 != SV345 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2242]) ).

thf(2470,plain,
    ! [SV345: name,SV90: name] :
      ( ( ( SV90 = SV345 )
        = $false )
      | ( ( ~ ( ( ( late_BoundOutputS @ SV90 )
               != ( late_BoundOutputS @ SV345 ) )
              | ( SV90 != SV345 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2242]) ).

thf(2471,plain,
    ! [SV776: name,SV91: name,SV733: name,SV346: pi] :
      ( ( ( ( subs @ ( subs @ SV346 @ SV733 @ SV91 ) @ SV91 @ SV776 )
          = ( subs @ SV346 @ SV733 @ SV776 ) )
        = $true )
      | ( ( fresh_name_pi @ SV91 @ SV346 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2243]) ).

thf(2472,plain,
    ! [SV348: name,SV93: name] :
      ( ( ( fresh_717452603ubject @ SV93 @ ( late_BoundOutputS @ SV348 ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_717452603ubject @ SV93 @ ( late_BoundOutputS @ SV348 ) )
              | ~ ( fresh_name_name @ SV93 @ SV348 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2244]) ).

thf(2473,plain,
    ! [SV348: name,SV93: name] :
      ( ( ( fresh_name_name @ SV93 @ SV348 )
        = $false )
      | ( ( ~ ( ~ ( fresh_717452603ubject @ SV93 @ ( late_BoundOutputS @ SV348 ) )
              | ~ ( fresh_name_name @ SV93 @ SV348 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2244]) ).

thf(2474,plain,
    ! [SV349: late_residual,SV94: pi,SV734: name] :
      ( ( ( ~ ( fresh_name_pi @ SV734 @ SV94 ) )
        = $true )
      | ( ( fresh_81631222sidual @ SV734 @ SV349 )
        = $true )
      | ( ( late_transitions @ SV94 @ SV349 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2245]) ).

thf(2475,plain,
    ! [SV538: pi,SV95: pi,SV350: late_freeRes,SV777: name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ SV777 @ SV350 )
          | ( late_transitions @ ( res @ SV777 @ SV95 ) @ ( late_FreeR @ SV350 @ ( res @ SV777 @ SV538 ) ) ) )
        = $true )
      | ( ( late_transitions @ SV95 @ ( late_FreeR @ SV350 @ SV538 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2246]) ).

thf(2476,plain,
    ! [SV658: pi,SV539: name,SV351: late_subject,SV96: pi] :
      ( ( ( late_transitions @ SV96 @ ( late_BoundR @ SV351 @ SV539 @ SV658 ) )
        = $false )
      | ( ( ! [SY2263: name] :
              ( ~ ( fresh_717452603ubject @ SY2263 @ SV351 )
              | ( SY2263 = SV539 )
              | ( late_transitions @ ( res @ SY2263 @ SV96 ) @ ( late_BoundR @ SV351 @ SV539 @ ( res @ SY2263 @ SV658 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2247]) ).

thf(2477,plain,
    ! [SV735: pi,SV540: name,SV352: late_subject,SV97: pi] :
      ( ( ( late_transitions @ SV97 @ ( late_BoundR @ SV352 @ SV540 @ SV735 ) )
        = $false )
      | ( ( ! [SY1827: name] :
              ( ~ ( fresh_name_pi @ SY1827 @ SV97 )
              | ( fresh_717452603ubject @ SY1827 @ SV352 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2248]) ).

thf(2478,plain,
    ! [SV659: pi,SV541: name,SV353: late_subject,SV98: pi] :
      ( ( ( late_transitions @ SV98 @ ( late_BoundR @ SV353 @ SV541 @ SV659 ) )
        = $false )
      | ( ( ! [SY2264: name] :
              ( ~ ( fresh_717452603ubject @ SY2264 @ SV353 )
              | ( SY2264 = SV541 )
              | ~ ( fresh_name_pi @ SV541 @ SV98 )
              | ~ ( fresh_717452603ubject @ SV541 @ SV353 )
              | ( late_transitions @ ( res @ SY2264 @ SV98 ) @ ( late_BoundR @ SV353 @ SV541 @ ( res @ SY2264 @ SV659 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2249]) ).

thf(2479,plain,
    ! [SV660: pi,SV542: name,SV354: late_subject,SV99: pi] :
      ( ( ( late_transitions @ SV99 @ ( late_BoundR @ SV354 @ SV542 @ SV660 ) )
        = $false )
      | ( ( ~ ( fresh_name_pi @ SV542 @ SV99 )
          | ! [SY2265: pi] :
              ( ~ ( fresh_name_pi @ SV542 @ SY2265 )
              | ~ ( fresh_717452603ubject @ SV542 @ SV354 )
              | ( late_transitions @ ( par @ SV99 @ SY2265 ) @ ( late_BoundR @ SV354 @ SV542 @ ( par @ SV660 @ SY2265 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2250]) ).

thf(2480,plain,
    ! [SV661: pi,SV543: name,SV355: late_subject,SV100: pi] :
      ( ( ( late_transitions @ SV100 @ ( late_BoundR @ SV355 @ SV543 @ SV661 ) )
        = $false )
      | ( ( ! [SY2266: pi] :
              ( ~ ( fresh_name_pi @ SV543 @ SY2266 )
              | ~ ( fresh_name_pi @ SV543 @ SV100 )
              | ~ ( fresh_717452603ubject @ SV543 @ SV355 )
              | ( late_transitions @ ( par @ SY2266 @ SV100 ) @ ( late_BoundR @ SV355 @ SV543 @ ( par @ SY2266 @ SV661 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2251]) ).

thf(2481,plain,
    ! [SV736: pi,SV662: late_freeRes,SV544: pi,SV356: name,SV101: late_subject] :
      ( ( ( late_BoundR @ SV101 @ SV356 @ SV544 )
        = ( late_FreeR @ SV662 @ SV736 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2252]) ).

thf(2482,plain,
    ! [SV778: late_residual,SV102: late_residual > $o] :
      ( ( ( SV102 @ SV778 )
        = $true )
      | ( ( SV102 @ ( late_FreeR @ ( sK98_FreeRes2 @ SV102 ) @ ( sK99_SY1084 @ SV102 ) ) )
        = $false )
      | ( ( SV102 @ ( late_BoundR @ ( sK100_Subject2 @ SV102 ) @ ( sK101_SY1085 @ SV102 ) @ ( sK102_SY1087 @ SV102 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2253]) ).

thf(2483,plain,
    ! [SV779: late_subject,SV105: late_subject > $o] :
      ( ( ( SV105 @ SV779 )
        = $true )
      | ( ( SV105 @ ( late_BoundOutputS @ ( sK96_Name3 @ SV105 ) ) )
        = $false )
      | ( ( SV105 @ ( late_InputS @ ( sK97_Name3 @ SV105 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2255]) ).

thf(2484,plain,
    ! [SV545: pi,SV359: late_freeRes,SV780: pi,SV106: pi] :
      ( ( ( late_transitions @ ( par @ SV106 @ SV780 ) @ ( late_FreeR @ SV359 @ ( par @ SV545 @ SV780 ) ) )
        = $true )
      | ( ( late_transitions @ SV106 @ ( late_FreeR @ SV359 @ SV545 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2256]) ).

thf(2485,plain,
    ! [SV546: pi,SV360: late_freeRes,SV107: pi,SV781: pi] :
      ( ( ( late_transitions @ ( par @ SV781 @ SV107 ) @ ( late_FreeR @ SV360 @ ( par @ SV781 @ SV546 ) ) )
        = $true )
      | ( ( late_transitions @ SV107 @ ( late_FreeR @ SV360 @ SV546 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2257]) ).

thf(2486,plain,
    ! [SV663: pi,SV547: name,SV361: late_subject,SV108: pi] :
      ( ( ( late_transitions @ SV108 @ ( late_BoundR @ SV361 @ SV547 @ SV663 ) )
        = $false )
      | ( ( ! [SY2268: name] :
              ( ~ ( fresh_name_pi @ SY2268 @ SV108 )
              | ( SY2268 = SV547 )
              | ( fresh_name_pi @ SY2268 @ SV663 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2258]) ).

thf(2487,plain,
    ! [SV362: late_freeRes,SV548: pi,SV109: pi,SV782: name] :
      ( ( ( ~ ( fresh_name_pi @ SV782 @ SV109 )
          | ( fresh_name_pi @ SV782 @ SV548 ) )
        = $true )
      | ( ( late_transitions @ SV109 @ ( late_FreeR @ SV362 @ SV548 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2259]) ).

thf(2488,plain,
    ! [SV664: pi,SV549: name,SV363: late_subject,SV110: pi] :
      ( ( ( late_transitions @ SV110 @ ( late_BoundR @ SV363 @ SV549 @ SV664 ) )
        = $false )
      | ( ( ! [SY2269: pi] :
              ( ~ ( fresh_name_pi @ SV549 @ SY2269 )
              | ( late_transitions @ ( par @ SV110 @ SY2269 ) @ ( late_BoundR @ SV363 @ SV549 @ ( par @ SV664 @ SY2269 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2260]) ).

thf(2489,plain,
    ! [SV665: pi,SV550: name,SV364: late_subject,SV111: pi] :
      ( ( ( late_transitions @ SV111 @ ( late_BoundR @ SV364 @ SV550 @ SV665 ) )
        = $false )
      | ( ( ! [SY2270: pi] :
              ( ~ ( fresh_name_pi @ SV550 @ SY2270 )
              | ( late_transitions @ ( par @ SY2270 @ SV111 ) @ ( late_BoundR @ SV364 @ SV550 @ ( par @ SY2270 @ SV665 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2261]) ).

thf(2490,plain,
    ! [SV666: pi,SV551: name,SV365: name,SV112: pi] :
      ( ( ( late_transitions @ SV112 @ ( late_FreeR @ ( late_OutputR @ SV365 @ SV551 ) @ SV666 ) )
        = $false )
      | ( ( ( SV365 = SV551 )
          | ( late_transitions @ ( res @ SV551 @ SV112 ) @ ( late_BoundR @ ( late_BoundOutputS @ SV365 ) @ SV551 @ SV666 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2262]) ).

thf(2491,plain,
    ! [SV738: set_Pr1834926343_pi_pi,SV667: name,SV552: late_subject,SV366: pi,SV113: pi] :
      ( ( ( ~ ( strong2129052853vative @ SV113 @ SV366 @ SV552 @ SV667 @ SV738 ) )
        = $true )
      | ( ( ~ ( eqvt_pi @ SV738 )
          | ! [SY2331: list_P227219501e_name] : ( strong2129052853vative @ ( perm_name_pi @ SY2331 @ SV113 ) @ ( perm_name_pi @ SY2331 @ SV366 ) @ SV552 @ ( perm_name_name @ SY2331 @ SV667 ) @ SV738 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2263]) ).

thf(2492,plain,
    ! [SV371: name,SV119: name] :
      ( ( ( ( late_BoundOutputS @ SV119 )
          = ( late_BoundOutputS @ SV371 ) )
        = $false )
      | ( ( ~ ( ( ( late_BoundOutputS @ SV119 )
               != ( late_BoundOutputS @ SV371 ) )
              | ( SV119 != SV371 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2267]) ).

thf(2493,plain,
    ! [SV371: name,SV119: name] :
      ( ( ( SV119 = SV371 )
        = $false )
      | ( ( ~ ( ( ( late_BoundOutputS @ SV119 )
               != ( late_BoundOutputS @ SV371 ) )
              | ( SV119 != SV371 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2267]) ).

thf(2494,plain,
    ! [SV740: pi,SV670: name,SV556: pi,SV374: name,SV123: name] :
      ( ( ( input @ SV123 @ SV374 @ SV556 )
        = ( res @ SV670 @ SV740 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2268]) ).

thf(2495,plain,
    ! [SV741: pi,SV671: pi,SV557: pi,SV375: name,SV124: name] :
      ( ( ( input @ SV124 @ SV375 @ SV557 )
        = ( par @ SV671 @ SV741 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2269]) ).

thf(2496,plain,
    ! [SV742: pi,SV673: late_freeRes,SV559: pi,SV377: name,SV126: name] :
      ( ( late_transitions @ ( input @ SV126 @ SV377 @ SV559 ) @ ( late_FreeR @ SV673 @ SV742 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2271]) ).

thf(2497,plain,
    ! [SV783: pi,SV743: late_freeRes,SV674: pi,SV560: name,SV378: name,SV127: name] :
      ( ( ~ ( late_transitions @ ( res @ SV127 @ ( input @ SV378 @ SV560 @ SV674 ) ) @ ( late_FreeR @ SV743 @ SV783 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2272]) ).

thf(2498,plain,
    ! [SV784: pi,SV744: name,SV675: name,SV561: pi,SV379: name,SV128: name] :
      ( ( ~ ( late_transitions @ ( input @ SV128 @ SV379 @ SV561 ) @ ( late_BoundR @ ( late_BoundOutputS @ SV675 ) @ SV744 @ SV784 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2273]) ).

thf(2499,plain,
    ! [SV785: name,SV677: late_subject,SV563: pi,SV382: name,SV131: name] :
      ( ( ( ! [SY2363: pi] :
              ~ ( late_transitions @ ( input @ SV131 @ SV382 @ SV563 ) @ ( late_BoundR @ SV677 @ SV785 @ SY2363 ) ) )
        = $true )
      | ( ( ~ ( fresh_717452603ubject @ SV131 @ SV677 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2274]) ).

thf(2500,plain,
    ! [SV786: name,SV745: name,SV678: pi,SV564: name,SV383: name,SV132: name] :
      ( ( ! [SY2364: pi] :
            ~ ( late_transitions @ ( res @ SV132 @ ( input @ SV383 @ SV564 @ SV678 ) ) @ ( late_BoundR @ ( late_BoundOutputS @ SV745 ) @ SV786 @ SY2364 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2275]) ).

thf(2501,plain,
    ! [SV133: name,SV384: pi,SV787: name,SV746: name] :
      ( ( ( ( input @ SV746 @ SV787 @ SV384 )
          = ( input @ SV746 @ SV133 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV787 @ SV133 ) @ nil_Pr743626285e_name ) @ SV384 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV133 @ SV384 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2276]) ).

thf(2502,plain,
    ! [SV135: $o] :
      ( ( SV135 = $false )
      | ( ( ~ ( ~ SV135
              | ~ $true ) )
        = $true )
      | ( ( SV135 = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2277]) ).

thf(2503,plain,
    ! [SV135: $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ SV135
              | ~ $true ) )
        = $true )
      | ( ( SV135 = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2277]) ).

thf(2504,plain,
    ! [SV135: $o] :
      ( ( ( SV135
          | $false )
        = $false )
      | ( ( ~ ( ~ SV135
              | ~ $false ) )
        = $true )
      | ( ( SV135 = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2278]) ).

thf(2505,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2279]) ).

thf(2506,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2279]) ).

thf(2507,plain,
    ( ( ( $true
        | $false )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2280]) ).

thf(2508,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2281]) ).

thf(2509,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2281]) ).

thf(2510,plain,
    ( ( ( $false
        | $false )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2282]) ).

thf(2511,plain,
    ! [SV386: list_P227219501e_name,SV747: late_subject,SV136: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV136 @ SV747 ) )
        = $true )
      | ( ( fresh_717452603ubject @ SV136 @ ( perm_n1559866809ubject @ SV386 @ SV747 ) )
        = $true )
      | ( ( fresh_922791155e_name @ SV136 @ SV386 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2283]) ).

thf(2512,plain,
    ! [SV387: list_P227219501e_name,SV748: late_freeRes,SV137: name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ SV137 @ SV748 ) )
        = $true )
      | ( ( fresh_1641682979reeRes @ SV137 @ ( perm_n336613537reeRes @ SV387 @ SV748 ) )
        = $true )
      | ( ( fresh_922791155e_name @ SV137 @ SV387 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2284]) ).

thf(2513,plain,
    ! [SV388: list_P227219501e_name,SV749: pi_Rep,SV138: name] :
      ( ( ( ~ ( fresh_name_pi_Rep @ SV138 @ SV749 ) )
        = $true )
      | ( ( fresh_name_pi_Rep @ SV138 @ ( perm_name_pi_Rep @ SV388 @ SV749 ) )
        = $true )
      | ( ( fresh_922791155e_name @ SV138 @ SV388 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2285]) ).

thf(2514,plain,
    ! [SV389: list_P227219501e_name,SV750: product_unit,SV139: name] :
      ( ( ( ~ ( fresh_1143631827t_unit @ SV139 @ SV750 ) )
        = $true )
      | ( ( fresh_1143631827t_unit @ SV139 @ ( perm_n1960409557t_unit @ SV389 @ SV750 ) )
        = $true )
      | ( ( fresh_922791155e_name @ SV139 @ SV389 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2286]) ).

thf(2515,plain,
    ! [SV390: list_P227219501e_name,SV751: produc1141751126_pi_pi,SV140: name] :
      ( ( ( ~ ( fresh_1376661020_pi_pi @ SV140 @ SV751 ) )
        = $true )
      | ( ( fresh_1376661020_pi_pi @ SV140 @ ( perm_n1255502110_pi_pi @ SV390 @ SV751 ) )
        = $true )
      | ( ( fresh_922791155e_name @ SV140 @ SV390 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2287]) ).

thf(2516,plain,
    ! [SV391: list_P227219501e_name,SV752: name,SV141: name] :
      ( ( ( ~ ( fresh_name_name @ SV141 @ SV752 ) )
        = $true )
      | ( ( fresh_name_name @ SV141 @ ( perm_name_name @ SV391 @ SV752 ) )
        = $true )
      | ( ( fresh_922791155e_name @ SV141 @ SV391 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2288]) ).

thf(2517,plain,
    ! [SV392: list_P227219501e_name,SV753: name > noption_pi,SV142: name] :
      ( ( ( ~ ( fresh_543891186ion_pi @ SV142 @ SV753 ) )
        = $true )
      | ( ( fresh_543891186ion_pi @ SV142 @ ( perm_n1667196784ion_pi @ SV392 @ SV753 ) )
        = $true )
      | ( ( fresh_922791155e_name @ SV142 @ SV392 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2289]) ).

thf(2518,plain,
    ! [SV566: late_subject,SV393: name,SV147: list_P227219501e_name] :
      ( ( ( ( perm_name_o @ SV147 @ ( fresh_717452603ubject @ SV393 @ SV566 ) )
          | ( fresh_717452603ubject @ ( perm_name_name @ SV147 @ SV393 ) @ ( perm_n1559866809ubject @ SV147 @ SV566 ) ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV147 @ ( fresh_717452603ubject @ SV393 @ SV566 ) )
              | ~ ( fresh_717452603ubject @ ( perm_name_name @ SV147 @ SV393 ) @ ( perm_n1559866809ubject @ SV147 @ SV566 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2290]) ).

thf(2519,plain,
    ! [SV567: late_freeRes,SV394: name,SV148: list_P227219501e_name] :
      ( ( ( ( perm_name_o @ SV148 @ ( fresh_1641682979reeRes @ SV394 @ SV567 ) )
          | ( fresh_1641682979reeRes @ ( perm_name_name @ SV148 @ SV394 ) @ ( perm_n336613537reeRes @ SV148 @ SV567 ) ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV148 @ ( fresh_1641682979reeRes @ SV394 @ SV567 ) )
              | ~ ( fresh_1641682979reeRes @ ( perm_name_name @ SV148 @ SV394 ) @ ( perm_n336613537reeRes @ SV148 @ SV567 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2291]) ).

thf(2520,plain,
    ! [SV568: pi_Rep,SV395: name,SV149: list_P227219501e_name] :
      ( ( ( ( perm_name_o @ SV149 @ ( fresh_name_pi_Rep @ SV395 @ SV568 ) )
          | ( fresh_name_pi_Rep @ ( perm_name_name @ SV149 @ SV395 ) @ ( perm_name_pi_Rep @ SV149 @ SV568 ) ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV149 @ ( fresh_name_pi_Rep @ SV395 @ SV568 ) )
              | ~ ( fresh_name_pi_Rep @ ( perm_name_name @ SV149 @ SV395 ) @ ( perm_name_pi_Rep @ SV149 @ SV568 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2292]) ).

thf(2521,plain,
    ! [SV569: product_unit,SV396: name,SV150: list_P227219501e_name] :
      ( ( ( ( perm_name_o @ SV150 @ ( fresh_1143631827t_unit @ SV396 @ SV569 ) )
          | ( fresh_1143631827t_unit @ ( perm_name_name @ SV150 @ SV396 ) @ ( perm_n1960409557t_unit @ SV150 @ SV569 ) ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV150 @ ( fresh_1143631827t_unit @ SV396 @ SV569 ) )
              | ~ ( fresh_1143631827t_unit @ ( perm_name_name @ SV150 @ SV396 ) @ ( perm_n1960409557t_unit @ SV150 @ SV569 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2293]) ).

thf(2522,plain,
    ! [SV570: produc1141751126_pi_pi,SV397: name,SV151: list_P227219501e_name] :
      ( ( ( ( perm_name_o @ SV151 @ ( fresh_1376661020_pi_pi @ SV397 @ SV570 ) )
          | ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV151 @ SV397 ) @ ( perm_n1255502110_pi_pi @ SV151 @ SV570 ) ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV151 @ ( fresh_1376661020_pi_pi @ SV397 @ SV570 ) )
              | ~ ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV151 @ SV397 ) @ ( perm_n1255502110_pi_pi @ SV151 @ SV570 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2294]) ).

thf(2523,plain,
    ! [SV571: name,SV398: name,SV152: list_P227219501e_name] :
      ( ( ( ( perm_name_o @ SV152 @ ( fresh_name_name @ SV398 @ SV571 ) )
          | ( fresh_name_name @ ( perm_name_name @ SV152 @ SV398 ) @ ( perm_name_name @ SV152 @ SV571 ) ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV152 @ ( fresh_name_name @ SV398 @ SV571 ) )
              | ~ ( fresh_name_name @ ( perm_name_name @ SV152 @ SV398 ) @ ( perm_name_name @ SV152 @ SV571 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2295]) ).

thf(2524,plain,
    ! [SV572: pi,SV399: name,SV153: list_P227219501e_name] :
      ( ( ( ( perm_name_o @ SV153 @ ( fresh_name_pi @ SV399 @ SV572 ) )
          | ( fresh_name_pi @ ( perm_name_name @ SV153 @ SV399 ) @ ( perm_name_pi @ SV153 @ SV572 ) ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV153 @ ( fresh_name_pi @ SV399 @ SV572 ) )
              | ~ ( fresh_name_pi @ ( perm_name_name @ SV153 @ SV399 ) @ ( perm_name_pi @ SV153 @ SV572 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2296]) ).

thf(2525,plain,
    ! [SV573: name > noption_pi,SV400: name,SV154: list_P227219501e_name] :
      ( ( ( ( perm_name_o @ SV154 @ ( fresh_543891186ion_pi @ SV400 @ SV573 ) )
          | ( fresh_543891186ion_pi @ ( perm_name_name @ SV154 @ SV400 ) @ ( perm_n1667196784ion_pi @ SV154 @ SV573 ) ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV154 @ ( fresh_543891186ion_pi @ SV400 @ SV573 ) )
              | ~ ( fresh_543891186ion_pi @ ( perm_name_name @ SV154 @ SV400 ) @ ( perm_n1667196784ion_pi @ SV154 @ SV573 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2297]) ).

thf(2526,plain,
    ! [SV574: late_subject,SV401: name,SV155: list_P227219501e_name] :
      ( ( ( ( fresh_717452603ubject @ ( perm_name_name @ SV155 @ SV401 ) @ ( perm_n1559866809ubject @ SV155 @ SV574 ) )
          | ( fresh_717452603ubject @ SV401 @ SV574 ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_717452603ubject @ ( perm_name_name @ SV155 @ SV401 ) @ ( perm_n1559866809ubject @ SV155 @ SV574 ) )
              | ~ ( fresh_717452603ubject @ SV401 @ SV574 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2298]) ).

thf(2527,plain,
    ! [SV575: late_freeRes,SV402: name,SV156: list_P227219501e_name] :
      ( ( ( ( fresh_1641682979reeRes @ ( perm_name_name @ SV156 @ SV402 ) @ ( perm_n336613537reeRes @ SV156 @ SV575 ) )
          | ( fresh_1641682979reeRes @ SV402 @ SV575 ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_1641682979reeRes @ ( perm_name_name @ SV156 @ SV402 ) @ ( perm_n336613537reeRes @ SV156 @ SV575 ) )
              | ~ ( fresh_1641682979reeRes @ SV402 @ SV575 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2299]) ).

thf(2528,plain,
    ! [SV576: pi_Rep,SV403: name,SV157: list_P227219501e_name] :
      ( ( ( ( fresh_name_pi_Rep @ ( perm_name_name @ SV157 @ SV403 ) @ ( perm_name_pi_Rep @ SV157 @ SV576 ) )
          | ( fresh_name_pi_Rep @ SV403 @ SV576 ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_name_pi_Rep @ ( perm_name_name @ SV157 @ SV403 ) @ ( perm_name_pi_Rep @ SV157 @ SV576 ) )
              | ~ ( fresh_name_pi_Rep @ SV403 @ SV576 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2300]) ).

thf(2529,plain,
    ! [SV577: product_unit,SV404: name,SV158: list_P227219501e_name] :
      ( ( ( ( fresh_1143631827t_unit @ ( perm_name_name @ SV158 @ SV404 ) @ ( perm_n1960409557t_unit @ SV158 @ SV577 ) )
          | ( fresh_1143631827t_unit @ SV404 @ SV577 ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_1143631827t_unit @ ( perm_name_name @ SV158 @ SV404 ) @ ( perm_n1960409557t_unit @ SV158 @ SV577 ) )
              | ~ ( fresh_1143631827t_unit @ SV404 @ SV577 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2301]) ).

thf(2530,plain,
    ! [SV578: produc1141751126_pi_pi,SV405: name,SV159: list_P227219501e_name] :
      ( ( ( ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV159 @ SV405 ) @ ( perm_n1255502110_pi_pi @ SV159 @ SV578 ) )
          | ( fresh_1376661020_pi_pi @ SV405 @ SV578 ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV159 @ SV405 ) @ ( perm_n1255502110_pi_pi @ SV159 @ SV578 ) )
              | ~ ( fresh_1376661020_pi_pi @ SV405 @ SV578 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2302]) ).

thf(2531,plain,
    ! [SV579: name,SV406: name,SV160: list_P227219501e_name] :
      ( ( ( ( fresh_name_name @ ( perm_name_name @ SV160 @ SV406 ) @ ( perm_name_name @ SV160 @ SV579 ) )
          | ( fresh_name_name @ SV406 @ SV579 ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_name_name @ ( perm_name_name @ SV160 @ SV406 ) @ ( perm_name_name @ SV160 @ SV579 ) )
              | ~ ( fresh_name_name @ SV406 @ SV579 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2303]) ).

thf(2532,plain,
    ! [SV580: name > noption_pi,SV407: name,SV161: list_P227219501e_name] :
      ( ( ( ( fresh_543891186ion_pi @ ( perm_name_name @ SV161 @ SV407 ) @ ( perm_n1667196784ion_pi @ SV161 @ SV580 ) )
          | ( fresh_543891186ion_pi @ SV407 @ SV580 ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_543891186ion_pi @ ( perm_name_name @ SV161 @ SV407 ) @ ( perm_n1667196784ion_pi @ SV161 @ SV580 ) )
              | ~ ( fresh_543891186ion_pi @ SV407 @ SV580 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2304]) ).

thf(2533,plain,
    ! [SV593: late_subject,SV420: late_subject,SV174: list_P227219501e_name] :
      ( ( ( ( ( perm_n1559866809ubject @ SV174 @ SV420 )
            = ( perm_n1559866809ubject @ SV174 @ SV593 ) )
          | ( SV420 = SV593 ) )
        = $false )
      | ( ( ~ ( ( ( perm_n1559866809ubject @ SV174 @ SV420 )
               != ( perm_n1559866809ubject @ SV174 @ SV593 ) )
              | ( SV420 != SV593 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2305]) ).

thf(2534,plain,
    ! [SV594: late_freeRes,SV421: late_freeRes,SV175: list_P227219501e_name] :
      ( ( ( ( ( perm_n336613537reeRes @ SV175 @ SV421 )
            = ( perm_n336613537reeRes @ SV175 @ SV594 ) )
          | ( SV421 = SV594 ) )
        = $false )
      | ( ( ~ ( ( ( perm_n336613537reeRes @ SV175 @ SV421 )
               != ( perm_n336613537reeRes @ SV175 @ SV594 ) )
              | ( SV421 != SV594 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2306]) ).

thf(2535,plain,
    ! [SV595: pi_Rep,SV422: pi_Rep,SV176: list_P227219501e_name] :
      ( ( ( ( ( perm_name_pi_Rep @ SV176 @ SV422 )
            = ( perm_name_pi_Rep @ SV176 @ SV595 ) )
          | ( SV422 = SV595 ) )
        = $false )
      | ( ( ~ ( ( ( perm_name_pi_Rep @ SV176 @ SV422 )
               != ( perm_name_pi_Rep @ SV176 @ SV595 ) )
              | ( SV422 != SV595 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2307]) ).

thf(2536,plain,
    ! [SV596: name,SV423: name,SV177: list_P227219501e_name] :
      ( ( ( ( ( perm_name_name @ SV177 @ SV423 )
            = ( perm_name_name @ SV177 @ SV596 ) )
          | ( SV423 = SV596 ) )
        = $false )
      | ( ( ~ ( ( ( perm_name_name @ SV177 @ SV423 )
               != ( perm_name_name @ SV177 @ SV596 ) )
              | ( SV423 != SV596 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2308]) ).

thf(2537,plain,
    ! [SV605: late_subject,SV432: late_subject,SV186: list_P227219501e_name] :
      ( ( ( ( perm_name_o @ SV186 @ ( SV432 = SV605 ) )
          | ( ( perm_n1559866809ubject @ SV186 @ SV432 )
            = ( perm_n1559866809ubject @ SV186 @ SV605 ) ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV186 @ ( SV432 = SV605 ) )
              | ( ( perm_n1559866809ubject @ SV186 @ SV432 )
               != ( perm_n1559866809ubject @ SV186 @ SV605 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2309]) ).

thf(2538,plain,
    ! [SV606: late_freeRes,SV433: late_freeRes,SV187: list_P227219501e_name] :
      ( ( ( ( perm_name_o @ SV187 @ ( SV433 = SV606 ) )
          | ( ( perm_n336613537reeRes @ SV187 @ SV433 )
            = ( perm_n336613537reeRes @ SV187 @ SV606 ) ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV187 @ ( SV433 = SV606 ) )
              | ( ( perm_n336613537reeRes @ SV187 @ SV433 )
               != ( perm_n336613537reeRes @ SV187 @ SV606 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2310]) ).

thf(2539,plain,
    ! [SV607: pi_Rep,SV434: pi_Rep,SV188: list_P227219501e_name] :
      ( ( ( ( perm_name_o @ SV188 @ ( SV434 = SV607 ) )
          | ( ( perm_name_pi_Rep @ SV188 @ SV434 )
            = ( perm_name_pi_Rep @ SV188 @ SV607 ) ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV188 @ ( SV434 = SV607 ) )
              | ( ( perm_name_pi_Rep @ SV188 @ SV434 )
               != ( perm_name_pi_Rep @ SV188 @ SV607 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2311]) ).

thf(2540,plain,
    ! [SV608: name,SV435: name,SV189: list_P227219501e_name] :
      ( ( ( ( perm_name_o @ SV189 @ ( SV435 = SV608 ) )
          | ( ( perm_name_name @ SV189 @ SV435 )
            = ( perm_name_name @ SV189 @ SV608 ) ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV189 @ ( SV435 = SV608 ) )
              | ( ( perm_name_name @ SV189 @ SV435 )
               != ( perm_name_name @ SV189 @ SV608 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2312]) ).

thf(2541,plain,
    ! [SV754: pi,SV680: pi,SV609: name,SV436: name,SV190: pi] :
      ( ( ( ~ ( late_transitions @ SV190 @ ( late_BoundR @ ( late_BoundOutputS @ SV436 ) @ SV609 @ SV680 ) ) )
        = $true )
      | ( ( ! [SY2337: name,SY2338: pi] :
              ( ~ ( late_transitions @ SV754 @ ( late_BoundR @ ( late_InputS @ SV436 ) @ SY2337 @ SY2338 ) )
              | ~ ( fresh_name_pi @ SY2337 @ SV190 )
              | ~ ( fresh_name_pi @ SY2337 @ SV754 )
              | ~ ( fresh_name_pi @ SV609 @ SV190 )
              | ~ ( fresh_name_pi @ SV609 @ SV754 )
              | ( SY2337 = SV436 )
              | ~ ( fresh_name_pi @ SY2337 @ SV680 )
              | ( SV609 = SV436 )
              | ~ ( fresh_name_pi @ SV609 @ SY2338 )
              | ( SY2337 = SV609 )
              | ( late_transitions @ ( par @ SV190 @ SV754 ) @ ( late_FreeR @ late_TauR @ ( res @ SV609 @ ( par @ SV680 @ ( subs @ SY2338 @ SY2337 @ SV609 ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2313]) ).

thf(2542,plain,
    ! [SV755: pi,SV681: pi,SV610: name,SV437: name,SV191: pi] :
      ( ( ( ~ ( late_transitions @ SV191 @ ( late_BoundR @ ( late_InputS @ SV437 ) @ SV610 @ SV681 ) ) )
        = $true )
      | ( ( ! [SY2339: name,SY2340: pi] :
              ( ~ ( late_transitions @ SV755 @ ( late_BoundR @ ( late_BoundOutputS @ SV437 ) @ SY2339 @ SY2340 ) )
              | ~ ( fresh_name_pi @ SV610 @ SV191 )
              | ~ ( fresh_name_pi @ SV610 @ SV755 )
              | ~ ( fresh_name_pi @ SY2339 @ SV191 )
              | ~ ( fresh_name_pi @ SY2339 @ SV755 )
              | ( SV610 = SV437 )
              | ~ ( fresh_name_pi @ SV610 @ SY2340 )
              | ( SY2339 = SV437 )
              | ~ ( fresh_name_pi @ SY2339 @ SV681 )
              | ( SV610 = SY2339 )
              | ( late_transitions @ ( par @ SV191 @ SV755 ) @ ( late_FreeR @ late_TauR @ ( res @ SY2339 @ ( par @ ( subs @ SV681 @ SV610 @ SY2339 ) @ SY2340 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2314]) ).

thf(2543,plain,
    ! [SV756: pi,SV682: pi,SV611: name,SV438: name,SV192: pi] :
      ( ( ( ~ ( late_transitions @ SV192 @ ( late_BoundR @ ( late_BoundOutputS @ SV438 ) @ SV611 @ SV682 ) ) )
        = $true )
      | ( ( ! [SY2341: name,SY2342: pi] :
              ( ~ ( late_transitions @ SV756 @ ( late_BoundR @ ( late_InputS @ SV438 ) @ SY2341 @ SY2342 ) )
              | ~ ( fresh_name_pi @ SV611 @ SV756 )
              | ( late_transitions @ ( par @ SV192 @ SV756 ) @ ( late_FreeR @ late_TauR @ ( res @ SV611 @ ( par @ SV682 @ ( subs @ SY2342 @ SY2341 @ SV611 ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2315]) ).

thf(2544,plain,
    ! [SV757: pi,SV683: pi,SV612: name,SV439: name,SV193: pi] :
      ( ( ( ~ ( late_transitions @ SV193 @ ( late_BoundR @ ( late_InputS @ SV439 ) @ SV612 @ SV683 ) ) )
        = $true )
      | ( ( ! [SY2343: name,SY2344: pi] :
              ( ~ ( late_transitions @ SV757 @ ( late_BoundR @ ( late_BoundOutputS @ SV439 ) @ SY2343 @ SY2344 ) )
              | ~ ( fresh_name_pi @ SY2343 @ SV193 )
              | ( late_transitions @ ( par @ SV193 @ SV757 ) @ ( late_FreeR @ late_TauR @ ( res @ SY2343 @ ( par @ ( subs @ SV683 @ SV612 @ SY2343 ) @ SY2344 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2316]) ).

thf(2545,plain,
    ! [SV758: pi,SV684: pi,SV613: name,SV440: name,SV194: pi] :
      ( ( ( ~ ( late_transitions @ SV194 @ ( late_FreeR @ ( late_OutputR @ SV440 @ SV613 ) @ SV684 ) ) )
        = $true )
      | ( ( ! [SY2345: name,SY2346: pi] :
              ( ~ ( late_transitions @ SV758 @ ( late_BoundR @ ( late_InputS @ SV440 ) @ SY2345 @ SY2346 ) )
              | ~ ( fresh_name_pi @ SY2345 @ SV194 )
              | ~ ( fresh_name_pi @ SY2345 @ SV758 )
              | ( SY2345 = SV440 )
              | ( SY2345 = SV613 )
              | ~ ( fresh_name_pi @ SY2345 @ SV684 )
              | ( late_transitions @ ( par @ SV194 @ SV758 ) @ ( late_FreeR @ late_TauR @ ( par @ SV684 @ ( subs @ SY2346 @ SY2345 @ SV613 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2317]) ).

thf(2546,plain,
    ! [SV759: pi,SV685: pi,SV614: name,SV441: name,SV195: pi] :
      ( ( ( ~ ( late_transitions @ SV195 @ ( late_BoundR @ ( late_InputS @ SV441 ) @ SV614 @ SV685 ) ) )
        = $true )
      | ( ( ! [SY2347: name,SY2348: pi] :
              ( ~ ( late_transitions @ SV759 @ ( late_FreeR @ ( late_OutputR @ SV441 @ SY2347 ) @ SY2348 ) )
              | ~ ( fresh_name_pi @ SV614 @ SV195 )
              | ~ ( fresh_name_pi @ SV614 @ SV759 )
              | ( SV614 = SV441 )
              | ( SV614 = SY2347 )
              | ~ ( fresh_name_pi @ SV614 @ SY2348 )
              | ( late_transitions @ ( par @ SV195 @ SV759 ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ SV685 @ SV614 @ SY2347 ) @ SY2348 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2318]) ).

thf(2547,plain,
    ! [SV760: pi,SV686: pi,SV615: name,SV442: name,SV196: pi] :
      ( ( ( ~ ( late_transitions @ SV196 @ ( late_FreeR @ ( late_OutputR @ SV442 @ SV615 ) @ SV686 ) ) )
        = $true )
      | ( ( ! [SY2349: name,SY2350: pi] :
              ( ~ ( late_transitions @ SV760 @ ( late_BoundR @ ( late_InputS @ SV442 ) @ SY2349 @ SY2350 ) )
              | ( late_transitions @ ( par @ SV196 @ SV760 ) @ ( late_FreeR @ late_TauR @ ( par @ SV686 @ ( subs @ SY2350 @ SY2349 @ SV615 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2319]) ).

thf(2548,plain,
    ! [SV761: pi,SV687: pi,SV616: name,SV443: name,SV197: pi] :
      ( ( ( ~ ( late_transitions @ SV197 @ ( late_BoundR @ ( late_InputS @ SV443 ) @ SV616 @ SV687 ) ) )
        = $true )
      | ( ( ! [SY2351: name,SY2352: pi] :
              ( ~ ( late_transitions @ SV761 @ ( late_FreeR @ ( late_OutputR @ SV443 @ SY2351 ) @ SY2352 ) )
              | ( late_transitions @ ( par @ SV197 @ SV761 ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ SV687 @ SV616 @ SY2351 ) @ SY2352 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2320]) ).

thf(2549,plain,
    ! [SV447: name,SV203: name] :
      ( ( ( fresh_717452603ubject @ SV203 @ ( late_InputS @ SV447 ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_717452603ubject @ SV203 @ ( late_InputS @ SV447 ) )
              | ~ ( fresh_name_name @ SV203 @ SV447 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2321]) ).

thf(2550,plain,
    ! [SV447: name,SV203: name] :
      ( ( ( fresh_name_name @ SV203 @ SV447 )
        = $false )
      | ( ( ~ ( ~ ( fresh_717452603ubject @ SV203 @ ( late_InputS @ SV447 ) )
              | ~ ( fresh_name_name @ SV203 @ SV447 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2321]) ).

thf(2551,plain,
    ! [SV620: name,SV449: name,SV205: list_P227219501e_name] :
      ( ( ( ( ( perm_name_name @ SV205 @ SV449 )
            = ( perm_name_name @ SV205 @ SV620 ) )
          | ( SV449 = SV620 ) )
        = $false )
      | ( ( ~ ( ( ( perm_name_name @ SV205 @ SV449 )
               != ( perm_name_name @ SV205 @ SV620 ) )
              | ( SV449 != SV620 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2322]) ).

thf(2552,plain,
    ! [SV689: pi,SV450: late_freeRes,SV206: pi,SV788: name] :
      ( ( ( ~ ( fresh_name_pi @ SV788 @ SV206 )
          | ( fresh_1641682979reeRes @ SV788 @ SV450 ) )
        = $true )
      | ( ( late_transitions @ SV206 @ ( late_FreeR @ SV450 @ SV689 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2323]) ).

thf(2553,plain,
    ! [SV789: late_freeRes,SV207: late_freeRes > $o] :
      ( ( ( SV207 @ SV789 )
        = $true )
      | ( ( SV207 @ late_TauR )
        = $false )
      | ( ( SV207 @ ( late_OutputR @ ( sK62_Name1 @ SV207 ) @ ( sK63_SY1045 @ SV207 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2324]) ).

thf(2554,plain,
    ! [SV762: set_Pr1834926343_pi_pi,SV690: name,SV621: late_subject,SV452: pi,SV209: pi] :
      ( ( ( ~ ( strong2129052853vative @ SV209 @ SV452 @ SV621 @ SV690 @ SV762 ) )
        = $true )
      | ( ( ~ ( eqvt_pi @ SV762 )
          | ! [SY2353: list_P227219501e_name] : ( strong2129052853vative @ ( perm_name_pi @ SY2353 @ SV209 ) @ ( perm_name_pi @ SY2353 @ SV452 ) @ ( perm_n1559866809ubject @ SY2353 @ SV621 ) @ ( perm_name_name @ SY2353 @ SV690 ) @ SV762 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2325]) ).

thf(2555,plain,
    ! [SV691: name,SV453: name] :
      ( ( ( ~ ( ( fresh_name_name @ SV453 @ SV691 )
              | ( SV453 != SV691 ) ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_name_name @ SV453 @ SV691 )
              | ~ ( ( SV453 != SV691 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2326]) ).

thf(2556,plain,
    ! [SV459: name,SV218: name] :
      ( ( ( ( late_InputS @ SV218 )
          = ( late_InputS @ SV459 ) )
        = $false )
      | ( ( ~ ( ( ( late_InputS @ SV218 )
               != ( late_InputS @ SV459 ) )
              | ( SV218 != SV459 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2333]) ).

thf(2557,plain,
    ! [SV459: name,SV218: name] :
      ( ( ( SV218 = SV459 )
        = $false )
      | ( ( ~ ( ( ( late_InputS @ SV218 )
               != ( late_InputS @ SV459 ) )
              | ( SV218 != SV459 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2333]) ).

thf(2558,plain,
    ! [SV624: pi,SV462: name,SV224: name] :
      ( ( ( ( fresh_name_pi @ SV224 @ ( res @ SV462 @ SV624 ) )
          | ( fresh_543891186ion_pi @ SV224 @ ( abs_fun_name_pi @ SV462 @ SV624 ) ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_name_pi @ SV224 @ ( res @ SV462 @ SV624 ) )
              | ~ ( fresh_543891186ion_pi @ SV224 @ ( abs_fun_name_pi @ SV462 @ SV624 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2334]) ).

thf(2559,plain,
    ! [SV228: pi > late_residual > $o] :
      ( ( ( ~ ( SV228 @ ( sK33_SY1010 @ SV228 ) @ ( late_FreeR @ ( sK31_FreeRes2 @ SV228 ) @ ( sK32_SY1008 @ SV228 ) ) ) )
        = $true )
      | ( ( ! [SY1593: pi,SY1594: late_residual] : ( SV228 @ SY1593 @ SY1594 ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK35_SY1011 @ SV228 ) @ ( sK37_SY1016 @ SV228 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2335]) ).

thf(2560,plain,
    ! [SV228: pi > late_residual > $o] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK35_SY1011 @ SV228 ) @ ( sK34_Subject2 @ SV228 ) )
          | ~ ~ ( SV228 @ ( sK37_SY1016 @ SV228 ) @ ( late_BoundR @ ( sK34_Subject2 @ SV228 ) @ ( sK35_SY1011 @ SV228 ) @ ( sK36_SY1014 @ SV228 ) ) ) )
        = $false )
      | ( ( ~ ( SV228 @ ( sK33_SY1010 @ SV228 ) @ ( late_FreeR @ ( sK31_FreeRes2 @ SV228 ) @ ( sK32_SY1008 @ SV228 ) ) )
          | ! [SY1593: pi,SY1594: late_residual] : ( SV228 @ SY1593 @ SY1594 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2336]) ).

thf(2561,plain,
    ! [SV767: pi,SV695: name,SV625: late_subject,SV465: pi,SV229: pi] :
      ( ( ( ~ ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) ) )
        = $true )
      | ( ( ~ ( ( ( par @ SV229 @ SV465 )
               != ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                     != ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) )
          | ~ ( ( ( par @ SV229 @ SV465 )
               != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                     != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2337]) ).

thf(2562,plain,
    ! [SV768: pi,SV696: name,SV626: late_subject,SV466: pi,SV230: pi] :
      ( ( ( ~ ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SV626 @ SV696 @ SV768 ) ) )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV696 @ SV230 )
          | ~ ( fresh_name_pi @ SV696 @ SV466 )
          | ! [SY2354: pi > $o] :
              ( ~ ( ~ ( late_transitions @ SV230 @ ( late_BoundR @ SV626 @ SV696 @ ( sK95_P4 @ SY2354 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
                  | ~ ~ ( SY2354 @ ( par @ ( sK95_P4 @ SY2354 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) @ SV466 ) ) )
              | ~ ( ~ ( late_transitions @ SV466 @ ( late_BoundR @ SV626 @ SV696 @ ( sK94_Q4 @ SY2354 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
                  | ~ ~ ( SY2354 @ ( par @ SV230 @ ( sK94_Q4 @ SY2354 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) ) )
              | ( SY2354 @ SV768 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2338]) ).

thf(2563,plain,
    ! [SV231: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( ~ ( SV231 @ ( sK19_SY992 @ SV231 ) @ ( late_FreeR @ ( sK17_FreeRes2 @ SV231 ) @ ( sK18_SY990 @ SV231 ) ) ) )
        = $true )
      | ( ( ! [SY1604: produc1141751126_pi_pi,SY1605: late_residual] : ( SV231 @ SY1604 @ SY1605 ) )
        = $true )
      | ( ( fresh_1376661020_pi_pi @ ( sK21_SY993 @ SV231 ) @ ( sK23_SY998 @ SV231 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2339]) ).

thf(2564,plain,
    ! [SV231: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK21_SY993 @ SV231 ) @ ( sK20_Subject2 @ SV231 ) )
          | ~ ~ ( SV231 @ ( sK23_SY998 @ SV231 ) @ ( late_BoundR @ ( sK20_Subject2 @ SV231 ) @ ( sK21_SY993 @ SV231 ) @ ( sK22_SY996 @ SV231 ) ) ) )
        = $false )
      | ( ( ~ ( SV231 @ ( sK19_SY992 @ SV231 ) @ ( late_FreeR @ ( sK17_FreeRes2 @ SV231 ) @ ( sK18_SY990 @ SV231 ) ) )
          | ! [SY1604: produc1141751126_pi_pi,SY1605: late_residual] : ( SV231 @ SY1604 @ SY1605 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2340]) ).

thf(2565,plain,
    ! [SV769: pi,SV697: name,SV627: late_subject,SV467: pi,SV232: name] :
      ( ( ( ~ ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV232 @ SV467 )
               != ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                     != ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                          | ~ ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                               != ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) )
          | ~ ( ( ( res @ SV232 @ SV467 )
               != ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                     != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                           != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2341]) ).

thf(2566,plain,
    ! [SV468: list_P227219501e_name,SV233: $o] :
      ( ( ( ~ SV233 ) = $true )
      | ( ( ! [SY2020: late_freeRes,SY2021: late_freeRes] :
              ( ( perm_n336613537reeRes @ SV468 @ ( if_Late_freeRes @ SV233 @ SY2020 @ SY2021 ) )
              = ( perm_n336613537reeRes @ SV468 @ SY2020 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2342]) ).

thf(2567,plain,
    ! [SV468: list_P227219501e_name,SV233: $o] :
      ( ( SV233 = $true )
      | ( ( ! [SY2022: late_freeRes,SY2023: late_freeRes] :
              ( ( perm_n336613537reeRes @ SV468 @ ( if_Late_freeRes @ SV233 @ SY2022 @ SY2023 ) )
              = ( perm_n336613537reeRes @ SV468 @ SY2023 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2343]) ).

thf(2568,plain,
    ! [SV469: list_P227219501e_name] :
      ( ( ( ~ $true ) = $true )
      | ( ( ! [SY2024: late_freeRes,SY2025: late_freeRes] :
              ( ( perm_n336613537reeRes @ SV469 @ ( if_Late_freeRes @ $true @ SY2024 @ SY2025 ) )
              = ( perm_n336613537reeRes @ SV469 @ SY2024 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2344]) ).

thf(2569,plain,
    ! [SV469: list_P227219501e_name] :
      ( ( $true = $true )
      | ( ( ! [SY2026: late_freeRes,SY2027: late_freeRes] :
              ( ( perm_n336613537reeRes @ SV469 @ ( if_Late_freeRes @ $true @ SY2026 @ SY2027 ) )
              = ( perm_n336613537reeRes @ SV469 @ SY2027 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2345]) ).

thf(2570,plain,
    ! [SV470: list_P227219501e_name] :
      ( ( ( ~ $false ) = $true )
      | ( ( ! [SY2028: late_freeRes,SY2029: late_freeRes] :
              ( ( perm_n336613537reeRes @ SV470 @ ( if_Late_freeRes @ $false @ SY2028 @ SY2029 ) )
              = ( perm_n336613537reeRes @ SV470 @ SY2028 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2346]) ).

thf(2571,plain,
    ! [SV470: list_P227219501e_name] :
      ( ( $false = $true )
      | ( ( ! [SY2030: late_freeRes,SY2031: late_freeRes] :
              ( ( perm_n336613537reeRes @ SV470 @ ( if_Late_freeRes @ $false @ SY2030 @ SY2031 ) )
              = ( perm_n336613537reeRes @ SV470 @ SY2031 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2347]) ).

thf(2572,plain,
    ! [SV628: pi,SV471: late_freeRes,SV234: name] :
      ( ( ( ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SV628 ) )
          | ~ ( ~ ( fresh_1641682979reeRes @ SV234 @ SV471 )
              | ~ ( fresh_name_pi @ SV234 @ SV628 ) ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SV628 ) )
              | ~ ~ ( ~ ( fresh_1641682979reeRes @ SV234 @ SV471 )
                    | ~ ( fresh_name_pi @ SV234 @ SV628 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2348]) ).

thf(2573,plain,
    ! [SV472: list_P227219501e_name,SV235: $o] :
      ( ( ( ~ SV235 ) = $true )
      | ( ( ! [SY2033: pi,SY2034: pi] :
              ( ( perm_name_pi @ SV472 @ ( if_pi @ SV235 @ SY2033 @ SY2034 ) )
              = ( perm_name_pi @ SV472 @ SY2033 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2349]) ).

thf(2574,plain,
    ! [SV472: list_P227219501e_name,SV235: $o] :
      ( ( SV235 = $true )
      | ( ( ! [SY2035: pi,SY2036: pi] :
              ( ( perm_name_pi @ SV472 @ ( if_pi @ SV235 @ SY2035 @ SY2036 ) )
              = ( perm_name_pi @ SV472 @ SY2036 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2350]) ).

thf(2575,plain,
    ! [SV473: list_P227219501e_name] :
      ( ( ( ~ $true ) = $true )
      | ( ( ! [SY2037: pi,SY2038: pi] :
              ( ( perm_name_pi @ SV473 @ ( if_pi @ $true @ SY2037 @ SY2038 ) )
              = ( perm_name_pi @ SV473 @ SY2037 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2351]) ).

thf(2576,plain,
    ! [SV473: list_P227219501e_name] :
      ( ( $true = $true )
      | ( ( ! [SY2039: pi,SY2040: pi] :
              ( ( perm_name_pi @ SV473 @ ( if_pi @ $true @ SY2039 @ SY2040 ) )
              = ( perm_name_pi @ SV473 @ SY2040 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2352]) ).

thf(2577,plain,
    ! [SV474: list_P227219501e_name] :
      ( ( ( ~ $false ) = $true )
      | ( ( ! [SY2041: pi,SY2042: pi] :
              ( ( perm_name_pi @ SV474 @ ( if_pi @ $false @ SY2041 @ SY2042 ) )
              = ( perm_name_pi @ SV474 @ SY2041 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2353]) ).

thf(2578,plain,
    ! [SV474: list_P227219501e_name] :
      ( ( $false = $true )
      | ( ( ! [SY2043: pi,SY2044: pi] :
              ( ( perm_name_pi @ SV474 @ ( if_pi @ $false @ SY2043 @ SY2044 ) )
              = ( perm_name_pi @ SV474 @ SY2044 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2354]) ).

thf(2579,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
                               != ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                           != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
          | ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2355]) ).

thf(2580,plain,
    ! [SV476: $o,SV237: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV237 @ SV476 ) )
        = $true )
      | ( ( ! [SY2046: late_freeRes,SY2047: late_freeRes] :
              ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ SV476 @ SY2046 @ SY2047 ) )
              = ( perm_n336613537reeRes @ SV237 @ SY2046 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2356]) ).

thf(2581,plain,
    ! [SV476: $o,SV237: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV237 @ SV476 )
        = $true )
      | ( ( ! [SY2048: late_freeRes,SY2049: late_freeRes] :
              ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ SV476 @ SY2048 @ SY2049 ) )
              = ( perm_n336613537reeRes @ SV237 @ SY2049 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2357]) ).

thf(2582,plain,
    ! [SV237: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV237 @ $true ) )
        = $true )
      | ( ( ! [SX0: late_freeRes,SX1: late_freeRes] :
              ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ $true @ SX0 @ SX1 ) )
              = ( perm_n336613537reeRes @ SV237 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2358]) ).

thf(2583,plain,
    ! [SV237: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV237 @ $true )
        = $true )
      | ( ( ! [SX0: late_freeRes,SX1: late_freeRes] :
              ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ $true @ SX0 @ SX1 ) )
              = ( perm_n336613537reeRes @ SV237 @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2359]) ).

thf(2584,plain,
    ! [SV237: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV237 @ $false ) )
        = $true )
      | ( ( ! [SX0: late_freeRes,SX1: late_freeRes] :
              ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ $false @ SX0 @ SX1 ) )
              = ( perm_n336613537reeRes @ SV237 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2360]) ).

thf(2585,plain,
    ! [SV237: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV237 @ $false )
        = $true )
      | ( ( ! [SX0: late_freeRes,SX1: late_freeRes] :
              ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ $false @ SX0 @ SX1 ) )
              = ( perm_n336613537reeRes @ SV237 @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2361]) ).

thf(2586,plain,
    ! [SV630: name,SV477: name,SV238: name] :
      ( ( ( ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SV630 ) )
          | ~ ( ~ ( fresh_name_name @ SV238 @ SV477 )
              | ~ ( fresh_name_name @ SV238 @ SV630 ) ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SV630 ) )
              | ~ ~ ( ~ ( fresh_name_name @ SV238 @ SV477 )
                    | ~ ( fresh_name_name @ SV238 @ SV630 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2362]) ).

thf(2587,plain,
    ! [SV478: $o,SV239: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV239 @ SV478 ) )
        = $true )
      | ( ( ! [SY2051: pi_Rep,SY2052: pi_Rep] :
              ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ SV478 @ SY2051 @ SY2052 ) )
              = ( perm_name_pi_Rep @ SV239 @ SY2051 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2363]) ).

thf(2588,plain,
    ! [SV478: $o,SV239: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV239 @ SV478 )
        = $true )
      | ( ( ! [SY2053: pi_Rep,SY2054: pi_Rep] :
              ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ SV478 @ SY2053 @ SY2054 ) )
              = ( perm_name_pi_Rep @ SV239 @ SY2054 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2364]) ).

thf(2589,plain,
    ! [SV239: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV239 @ $true ) )
        = $true )
      | ( ( ! [SX0: pi_Rep,SX1: pi_Rep] :
              ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ $true @ SX0 @ SX1 ) )
              = ( perm_name_pi_Rep @ SV239 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2365]) ).

thf(2590,plain,
    ! [SV239: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV239 @ $true )
        = $true )
      | ( ( ! [SX0: pi_Rep,SX1: pi_Rep] :
              ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ $true @ SX0 @ SX1 ) )
              = ( perm_name_pi_Rep @ SV239 @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2366]) ).

thf(2591,plain,
    ! [SV239: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV239 @ $false ) )
        = $true )
      | ( ( ! [SX0: pi_Rep,SX1: pi_Rep] :
              ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ $false @ SX0 @ SX1 ) )
              = ( perm_name_pi_Rep @ SV239 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2367]) ).

thf(2592,plain,
    ! [SV239: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV239 @ $false )
        = $true )
      | ( ( ! [SX0: pi_Rep,SX1: pi_Rep] :
              ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ $false @ SX0 @ SX1 ) )
              = ( perm_name_pi_Rep @ SV239 @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2368]) ).

thf(2593,plain,
    ! [SV698: list_P227219501e_name,SV631: produc367475239e_name,SV479: list_P227219501e_name,SV240: produc367475239e_name] :
      ( ( ( ~ ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
                = ( cons_P1213805021e_name @ SV631 @ SV698 ) )
              | ~ ( ( SV240 != SV631 )
                  | ( SV479 != SV698 ) ) ) )
        = $true )
      | ( ( ~ ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
               != ( cons_P1213805021e_name @ SV631 @ SV698 ) )
              | ~ ~ ( ( SV240 != SV631 )
                    | ( SV479 != SV698 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2369]) ).

thf(2594,plain,
    ! [SV241: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( ~ ( SV241 @ ( sK47_SY1028 @ SV241 ) @ ( late_FreeR @ ( sK45_FreeRes2 @ SV241 ) @ ( sK46_SY1026 @ SV241 ) ) ) )
        = $true )
      | ( ( ! [SY1639: produc1141751126_pi_pi,SY1640: late_residual] : ( SV241 @ SY1639 @ SY1640 ) )
        = $true )
      | ( ( fresh_1376661020_pi_pi @ ( sK49_SY1029 @ SV241 ) @ ( sK51_SY1034 @ SV241 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2371]) ).

thf(2595,plain,
    ! [SV241: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK49_SY1029 @ SV241 ) @ ( sK48_Subject2 @ SV241 ) )
          | ~ ~ ( SV241 @ ( sK51_SY1034 @ SV241 ) @ ( late_BoundR @ ( sK48_Subject2 @ SV241 ) @ ( sK49_SY1029 @ SV241 ) @ ( sK50_SY1032 @ SV241 ) ) ) )
        = $false )
      | ( ( ~ ( SV241 @ ( sK47_SY1028 @ SV241 ) @ ( late_FreeR @ ( sK45_FreeRes2 @ SV241 ) @ ( sK46_SY1026 @ SV241 ) ) )
          | ! [SY1639: produc1141751126_pi_pi,SY1640: late_residual] : ( SV241 @ SY1639 @ SY1640 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2372]) ).

thf(2596,plain,
    ! [SV632: pi,SV480: pi,SV242: name] :
      ( ( ( ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SV632 ) )
          | ~ ( ~ ( fresh_name_pi @ SV242 @ SV480 )
              | ~ ( fresh_name_pi @ SV242 @ SV632 ) ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SV632 ) )
              | ~ ~ ( ~ ( fresh_name_pi @ SV242 @ SV480 )
                    | ~ ( fresh_name_pi @ SV242 @ SV632 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2373]) ).

thf(2597,plain,
    ! [SV699: name,SV633: name,SV481: name,SV243: name] :
      ( ( ( ~ ( ( ( late_OutputR @ SV243 @ SV481 )
                = ( late_OutputR @ SV633 @ SV699 ) )
              | ~ ( ( SV243 != SV633 )
                  | ( SV481 != SV699 ) ) ) )
        = $true )
      | ( ( ~ ( ( ( late_OutputR @ SV243 @ SV481 )
               != ( late_OutputR @ SV633 @ SV699 ) )
              | ~ ~ ( ( SV243 != SV633 )
                    | ( SV481 != SV699 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2374]) ).

thf(2598,plain,
    ! [SV244: product_unit > late_residual > $o] :
      ( ( ( ~ ( SV244 @ ( sK54_SY1037 @ SV244 ) @ ( late_FreeR @ ( sK52_FreeRes2 @ SV244 ) @ ( sK53_SY1035 @ SV244 ) ) ) )
        = $true )
      | ( ( ! [SY1646: product_unit,SY1647: late_residual] : ( SV244 @ SY1646 @ SY1647 ) )
        = $true )
      | ( ( fresh_1143631827t_unit @ ( sK56_SY1038 @ SV244 ) @ ( sK58_SY1043 @ SV244 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2376]) ).

thf(2599,plain,
    ! [SV244: product_unit > late_residual > $o] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK56_SY1038 @ SV244 ) @ ( sK55_Subject2 @ SV244 ) )
          | ~ ~ ( SV244 @ ( sK58_SY1043 @ SV244 ) @ ( late_BoundR @ ( sK55_Subject2 @ SV244 ) @ ( sK56_SY1038 @ SV244 ) @ ( sK57_SY1041 @ SV244 ) ) ) )
        = $false )
      | ( ( ~ ( SV244 @ ( sK54_SY1037 @ SV244 ) @ ( late_FreeR @ ( sK52_FreeRes2 @ SV244 ) @ ( sK53_SY1035 @ SV244 ) ) )
          | ! [SY1646: product_unit,SY1647: late_residual] : ( SV244 @ SY1646 @ SY1647 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2377]) ).

thf(2600,plain,
    ! [SV245: name > late_residual > $o] :
      ( ( ( ~ ( SV245 @ ( sK12_SY983 @ SV245 ) @ ( late_FreeR @ ( sK10_FreeRes2 @ SV245 ) @ ( sK11_SY981 @ SV245 ) ) ) )
        = $true )
      | ( ( ! [SY1648: name,SY1649: late_residual] : ( SV245 @ SY1648 @ SY1649 ) )
        = $true )
      | ( ( fresh_name_name @ ( sK14_SY984 @ SV245 ) @ ( sK16_SY989 @ SV245 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2378]) ).

thf(2601,plain,
    ! [SV245: name > late_residual > $o] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK14_SY984 @ SV245 ) @ ( sK13_Subject2 @ SV245 ) )
          | ~ ~ ( SV245 @ ( sK16_SY989 @ SV245 ) @ ( late_BoundR @ ( sK13_Subject2 @ SV245 ) @ ( sK14_SY984 @ SV245 ) @ ( sK15_SY987 @ SV245 ) ) ) )
        = $false )
      | ( ( ~ ( SV245 @ ( sK12_SY983 @ SV245 ) @ ( late_FreeR @ ( sK10_FreeRes2 @ SV245 ) @ ( sK11_SY981 @ SV245 ) ) )
          | ! [SY1648: name,SY1649: late_residual] : ( SV245 @ SY1648 @ SY1649 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2379]) ).

thf(2602,plain,
    ! [SV634: list_pi,SV482: pi,SV246: name] :
      ( ( ( ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SV634 ) )
          | ~ ( ~ ( fresh_name_list_pi @ SV246 @ SV634 )
              | ~ ( fresh_name_pi @ SV246 @ SV482 ) ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SV634 ) )
              | ~ ~ ( ~ ( fresh_name_list_pi @ SV246 @ SV634 )
                    | ~ ( fresh_name_pi @ SV246 @ SV482 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2380]) ).

thf(2603,plain,
    ! [SV483: list_P227219501e_name,SV247: $o] :
      ( ( ( ~ SV247 ) = $true )
      | ( ( ! [SY2061: name,SY2062: name] :
              ( ( perm_name_name @ SV483 @ ( if_name @ SV247 @ SY2061 @ SY2062 ) )
              = ( perm_name_name @ SV483 @ SY2061 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2381]) ).

thf(2604,plain,
    ! [SV483: list_P227219501e_name,SV247: $o] :
      ( ( SV247 = $true )
      | ( ( ! [SY2063: name,SY2064: name] :
              ( ( perm_name_name @ SV483 @ ( if_name @ SV247 @ SY2063 @ SY2064 ) )
              = ( perm_name_name @ SV483 @ SY2064 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2382]) ).

thf(2605,plain,
    ! [SV484: list_P227219501e_name] :
      ( ( ( ~ $true ) = $true )
      | ( ( ! [SY2065: name,SY2066: name] :
              ( ( perm_name_name @ SV484 @ ( if_name @ $true @ SY2065 @ SY2066 ) )
              = ( perm_name_name @ SV484 @ SY2065 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2383]) ).

thf(2606,plain,
    ! [SV484: list_P227219501e_name] :
      ( ( $true = $true )
      | ( ( ! [SY2067: name,SY2068: name] :
              ( ( perm_name_name @ SV484 @ ( if_name @ $true @ SY2067 @ SY2068 ) )
              = ( perm_name_name @ SV484 @ SY2068 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2384]) ).

thf(2607,plain,
    ! [SV485: list_P227219501e_name] :
      ( ( ( ~ $false ) = $true )
      | ( ( ! [SY2069: name,SY2070: name] :
              ( ( perm_name_name @ SV485 @ ( if_name @ $false @ SY2069 @ SY2070 ) )
              = ( perm_name_name @ SV485 @ SY2069 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2385]) ).

thf(2608,plain,
    ! [SV485: list_P227219501e_name] :
      ( ( $false = $true )
      | ( ( ! [SY2071: name,SY2072: name] :
              ( ( perm_name_name @ SV485 @ ( if_name @ $false @ SY2071 @ SY2072 ) )
              = ( perm_name_name @ SV485 @ SY2072 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2386]) ).

thf(2609,plain,
    ! [SV486: $o,SV248: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV248 @ SV486 ) )
        = $true )
      | ( ( ! [SY2073: late_subject,SY2074: late_subject] :
              ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ SV486 @ SY2073 @ SY2074 ) )
              = ( perm_n1559866809ubject @ SV248 @ SY2073 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2387]) ).

thf(2610,plain,
    ! [SV486: $o,SV248: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV248 @ SV486 )
        = $true )
      | ( ( ! [SY2075: late_subject,SY2076: late_subject] :
              ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ SV486 @ SY2075 @ SY2076 ) )
              = ( perm_n1559866809ubject @ SV248 @ SY2076 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2388]) ).

thf(2611,plain,
    ! [SV248: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV248 @ $true ) )
        = $true )
      | ( ( ! [SX0: late_subject,SX1: late_subject] :
              ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ $true @ SX0 @ SX1 ) )
              = ( perm_n1559866809ubject @ SV248 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2389]) ).

thf(2612,plain,
    ! [SV248: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV248 @ $true )
        = $true )
      | ( ( ! [SX0: late_subject,SX1: late_subject] :
              ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ $true @ SX0 @ SX1 ) )
              = ( perm_n1559866809ubject @ SV248 @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2390]) ).

thf(2613,plain,
    ! [SV248: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV248 @ $false ) )
        = $true )
      | ( ( ! [SX0: late_subject,SX1: late_subject] :
              ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ $false @ SX0 @ SX1 ) )
              = ( perm_n1559866809ubject @ SV248 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2391]) ).

thf(2614,plain,
    ! [SV248: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV248 @ $false )
        = $true )
      | ( ( ! [SX0: late_subject,SX1: late_subject] :
              ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ $false @ SX0 @ SX1 ) )
              = ( perm_n1559866809ubject @ SV248 @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2392]) ).

thf(2615,plain,
    ! [SV487: $o,SV249: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV249 @ SV487 ) )
        = $true )
      | ( ( ! [SY2077: pi,SY2078: pi] :
              ( ( perm_name_pi @ SV249 @ ( if_pi @ SV487 @ SY2077 @ SY2078 ) )
              = ( perm_name_pi @ SV249 @ SY2077 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2393]) ).

thf(2616,plain,
    ! [SV487: $o,SV249: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV249 @ SV487 )
        = $true )
      | ( ( ! [SY2079: pi,SY2080: pi] :
              ( ( perm_name_pi @ SV249 @ ( if_pi @ SV487 @ SY2079 @ SY2080 ) )
              = ( perm_name_pi @ SV249 @ SY2080 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2394]) ).

thf(2617,plain,
    ! [SV249: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV249 @ $true ) )
        = $true )
      | ( ( ! [SX0: pi,SX1: pi] :
              ( ( perm_name_pi @ SV249 @ ( if_pi @ $true @ SX0 @ SX1 ) )
              = ( perm_name_pi @ SV249 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2395]) ).

thf(2618,plain,
    ! [SV249: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV249 @ $true )
        = $true )
      | ( ( ! [SX0: pi,SX1: pi] :
              ( ( perm_name_pi @ SV249 @ ( if_pi @ $true @ SX0 @ SX1 ) )
              = ( perm_name_pi @ SV249 @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2396]) ).

thf(2619,plain,
    ! [SV249: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV249 @ $false ) )
        = $true )
      | ( ( ! [SX0: pi,SX1: pi] :
              ( ( perm_name_pi @ SV249 @ ( if_pi @ $false @ SX0 @ SX1 ) )
              = ( perm_name_pi @ SV249 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2397]) ).

thf(2620,plain,
    ! [SV249: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV249 @ $false )
        = $true )
      | ( ( ! [SX0: pi,SX1: pi] :
              ( ( perm_name_pi @ SV249 @ ( if_pi @ $false @ SX0 @ SX1 ) )
              = ( perm_name_pi @ SV249 @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2398]) ).

thf(2621,plain,
    ! [SV770: name,SV700: late_subject,SV635: pi,SV488: name,SV250: name] :
      ( ( ~ ! [SY2355: pi] :
              ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SY2355 ) )
              | ( SV770 = SV250 )
              | ( SV770 = SV488 )
              | ~ ( fresh_name_pi @ SV770 @ SV635 )
              | ( SV700
                = ( late_InputS @ SV250 ) )
              | ! [SY2356: late_subject > name > pi > $o] : ( SY2356 @ SV700 @ SV770 @ SY2355 ) )
        | ~ ~ ( ~ ! [SY2357: pi] :
                    ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SY2357 ) )
                    | ( SV770 = SV250 )
                    | ( SV770 = SV488 )
                    | ~ ( fresh_name_pi @ SV770 @ SV635 )
                    | ( SY2357
                      = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
                    | ! [SY2358: late_subject > name > pi > $o] : ( SY2358 @ SV700 @ SV770 @ SY2357 ) )
              | ~ ! [SY2359: pi] :
                    ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SY2359 ) )
                    | ( SV770 = SV250 )
                    | ( SV770 = SV488 )
                    | ~ ( fresh_name_pi @ SV770 @ SV635 )
                    | ! [SY2360: late_subject > name > pi > $o] :
                        ( ~ ( SY2360 @ ( late_InputS @ SV250 ) @ SV770 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
                        | ( SY2360 @ SV700 @ SV770 @ SY2359 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2399]) ).

thf(2622,plain,
    ! [SV636: name,SV489: name,SV251: name] :
      ( ( ( ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SV636 ) )
          | ~ ( ~ ( fresh_name_name @ SV251 @ SV489 )
              | ~ ( fresh_name_name @ SV251 @ SV636 ) ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SV636 ) )
              | ~ ~ ( ~ ( fresh_name_name @ SV251 @ SV489 )
                    | ~ ( fresh_name_name @ SV251 @ SV636 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2400]) ).

thf(2623,plain,
    ! [SV701: pi,SV637: late_freeRes,SV490: pi,SV252: name] :
      ( ( ( late_transitions @ ( res @ SV252 @ SV490 ) @ ( late_FreeR @ SV637 @ SV701 ) )
        = $false )
      | ( ( ! [SY2322: pi > $o] :
              ( ~ ( ~ ( late_transitions @ SV490 @ ( late_FreeR @ SV637 @ ( sK117_P4 @ SY2322 @ SV701 @ SV637 @ SV490 @ SV252 ) ) )
                  | ~ ~ ( ~ ( fresh_1641682979reeRes @ SV252 @ SV637 )
                        | ~ ~ ( SY2322 @ ( res @ SV252 @ ( sK117_P4 @ SY2322 @ SV701 @ SV637 @ SV490 @ SV252 ) ) ) ) )
              | ( SY2322 @ SV701 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2401]) ).

thf(2624,plain,
    ! [SV771: pi,SV702: name,SV638: late_subject,SV491: pi,SV253: name] :
      ( ( ( ~ ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) ) )
        = $true )
      | ( ( ( SV702 = SV253 )
          | ~ ( fresh_name_pi @ SV702 @ SV491 )
          | ! [SY2361: late_subject > pi > $o] :
              ( ~ ( ~ ( late_transitions @ SV491 @ ( late_FreeR @ ( late_OutputR @ ( sK60_B2 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) @ SV253 ) @ ( sK61_SY1044 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
                  | ~ ~ ( ~ ( ( ( sK60_B2 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 )
                             != SV253 ) )
                        | ~ ~ ( ( SV638
                               != ( late_BoundOutputS @ ( sK60_B2 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
                              | ~ ~ ( SY2361 @ ( late_BoundOutputS @ ( sK60_B2 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV702 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) ) )
              | ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
                  | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                        | ~ ~ ( SY2361 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
              | ( SY2361 @ SV638 @ SV771 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2402]) ).

thf(2625,plain,
    ! [SV492: list_P227219501e_name,SV254: $o] :
      ( ( ( ~ SV254 ) = $true )
      | ( ( ! [SY2098: late_subject,SY2099: late_subject] :
              ( ( perm_n1559866809ubject @ SV492 @ ( if_Late_subject @ SV254 @ SY2098 @ SY2099 ) )
              = ( perm_n1559866809ubject @ SV492 @ SY2098 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2403]) ).

thf(2626,plain,
    ! [SV492: list_P227219501e_name,SV254: $o] :
      ( ( SV254 = $true )
      | ( ( ! [SY2100: late_subject,SY2101: late_subject] :
              ( ( perm_n1559866809ubject @ SV492 @ ( if_Late_subject @ SV254 @ SY2100 @ SY2101 ) )
              = ( perm_n1559866809ubject @ SV492 @ SY2101 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2404]) ).

thf(2627,plain,
    ! [SV493: list_P227219501e_name] :
      ( ( ( ~ $true ) = $true )
      | ( ( ! [SY2102: late_subject,SY2103: late_subject] :
              ( ( perm_n1559866809ubject @ SV493 @ ( if_Late_subject @ $true @ SY2102 @ SY2103 ) )
              = ( perm_n1559866809ubject @ SV493 @ SY2102 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2405]) ).

thf(2628,plain,
    ! [SV493: list_P227219501e_name] :
      ( ( $true = $true )
      | ( ( ! [SY2104: late_subject,SY2105: late_subject] :
              ( ( perm_n1559866809ubject @ SV493 @ ( if_Late_subject @ $true @ SY2104 @ SY2105 ) )
              = ( perm_n1559866809ubject @ SV493 @ SY2105 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2406]) ).

thf(2629,plain,
    ! [SV494: list_P227219501e_name] :
      ( ( ( ~ $false ) = $true )
      | ( ( ! [SY2106: late_subject,SY2107: late_subject] :
              ( ( perm_n1559866809ubject @ SV494 @ ( if_Late_subject @ $false @ SY2106 @ SY2107 ) )
              = ( perm_n1559866809ubject @ SV494 @ SY2106 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2407]) ).

thf(2630,plain,
    ! [SV494: list_P227219501e_name] :
      ( ( $false = $true )
      | ( ( ! [SY2108: late_subject,SY2109: late_subject] :
              ( ( perm_n1559866809ubject @ SV494 @ ( if_Late_subject @ $false @ SY2108 @ SY2109 ) )
              = ( perm_n1559866809ubject @ SV494 @ SY2109 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2408]) ).

thf(2631,plain,
    ! [SV703: pi,SV639: pi,SV495: pi,SV255: pi] :
      ( ( ( ~ ( ( ( par @ SV255 @ SV495 )
                = ( par @ SV639 @ SV703 ) )
              | ~ ( ( SV255 != SV639 )
                  | ( SV495 != SV703 ) ) ) )
        = $true )
      | ( ( ~ ( ( ( par @ SV255 @ SV495 )
               != ( par @ SV639 @ SV703 ) )
              | ~ ~ ( ( SV255 != SV639 )
                    | ( SV495 != SV703 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2409]) ).

thf(2632,plain,
    ! [SV704: late_subject,SV640: pi,SV496: set_Pr1834926343_pi_pi,SV256: pi] :
      ( ( ( strong743114133lation @ SV256 @ SV496 @ SV640 )
        = $false )
      | ( ( ! [SY2325: name,SY2326: pi] :
              ( ~ ( late_transitions @ SV640 @ ( late_BoundR @ SV704 @ SY2325 @ SY2326 ) )
              | ~ ( fresh_name_pi @ SY2325 @ SV256 )
              | ~ ( ~ ( late_transitions @ SV256 @ ( late_BoundR @ SV704 @ SY2325 @ ( sK92_P4 @ SY2326 @ SY2325 @ SV704 @ SV640 @ SV496 @ SV256 ) ) )
                  | ~ ( strong2129052853vative @ ( sK92_P4 @ SY2326 @ SY2325 @ SV704 @ SV640 @ SV496 @ SV256 ) @ SY2326 @ SV704 @ SY2325 @ SV496 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2411]) ).

thf(2633,plain,
    ! [SV705: pi,SV641: late_freeRes,SV497: pi,SV257: late_freeRes] :
      ( ( ( ~ ( ( ( late_FreeR @ SV257 @ SV497 )
                = ( late_FreeR @ SV641 @ SV705 ) )
              | ~ ( ( SV257 != SV641 )
                  | ( SV497 != SV705 ) ) ) )
        = $true )
      | ( ( ~ ( ( ( late_FreeR @ SV257 @ SV497 )
               != ( late_FreeR @ SV641 @ SV705 ) )
              | ~ ~ ( ( SV257 != SV641 )
                    | ( SV497 != SV705 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2412]) ).

thf(2634,plain,
    ! [SV706: pi,SV642: late_freeRes,SV498: pi,SV258: name] :
      ( ( ( late_transitions @ ( res @ SV258 @ SV498 ) @ ( late_FreeR @ SV642 @ SV706 ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV258 @ SV498 )
               != ( res @ ( sK116_SY1113 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK113_P5 @ SV706 @ SV642 @ SV498 @ SV258 ) ) )
              | ~ ~ ( ( ( late_FreeR @ SV642 @ SV706 )
                     != ( late_FreeR @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( res @ ( sK116_SY1113 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK115_SY1111 @ SV706 @ SV642 @ SV498 @ SV258 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK113_P5 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( late_FreeR @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK115_SY1111 @ SV706 @ SV642 @ SV498 @ SV258 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK116_SY1113 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2414]) ).

thf(2635,plain,
    ! [SV259: product_unit > late_residual > $o] :
      ( ( ( ~ ( SV259 @ ( sK26_SY1001 @ SV259 ) @ ( late_FreeR @ ( sK24_FreeRes2 @ SV259 ) @ ( sK25_SY999 @ SV259 ) ) ) )
        = $true )
      | ( ( ! [SY1707: product_unit,SY1708: late_residual] : ( SV259 @ SY1707 @ SY1708 ) )
        = $true )
      | ( ( fresh_1143631827t_unit @ ( sK28_SY1002 @ SV259 ) @ ( sK30_SY1007 @ SV259 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2415]) ).

thf(2636,plain,
    ! [SV259: product_unit > late_residual > $o] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK28_SY1002 @ SV259 ) @ ( sK27_Subject2 @ SV259 ) )
          | ~ ~ ( SV259 @ ( sK30_SY1007 @ SV259 ) @ ( late_BoundR @ ( sK27_Subject2 @ SV259 ) @ ( sK28_SY1002 @ SV259 ) @ ( sK29_SY1005 @ SV259 ) ) ) )
        = $false )
      | ( ( ~ ( SV259 @ ( sK26_SY1001 @ SV259 ) @ ( late_FreeR @ ( sK24_FreeRes2 @ SV259 ) @ ( sK25_SY999 @ SV259 ) ) )
          | ! [SY1707: product_unit,SY1708: late_residual] : ( SV259 @ SY1707 @ SY1708 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2416]) ).

thf(2637,plain,
    ! [SV260: pi > late_residual > $o] :
      ( ( ( ~ ( SV260 @ ( sK5_SY974 @ SV260 ) @ ( late_FreeR @ ( sK3_FreeRes2 @ SV260 ) @ ( sK4_SY972 @ SV260 ) ) ) )
        = $true )
      | ( ( ! [SY1709: pi,SY1710: late_residual] : ( SV260 @ SY1709 @ SY1710 ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK7_SY975 @ SV260 ) @ ( sK9_SY980 @ SV260 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2417]) ).

thf(2638,plain,
    ! [SV260: pi > late_residual > $o] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK7_SY975 @ SV260 ) @ ( sK6_Subject2 @ SV260 ) )
          | ~ ~ ( SV260 @ ( sK9_SY980 @ SV260 ) @ ( late_BoundR @ ( sK6_Subject2 @ SV260 ) @ ( sK7_SY975 @ SV260 ) @ ( sK8_SY978 @ SV260 ) ) ) )
        = $false )
      | ( ( ~ ( SV260 @ ( sK5_SY974 @ SV260 ) @ ( late_FreeR @ ( sK3_FreeRes2 @ SV260 ) @ ( sK4_SY972 @ SV260 ) ) )
          | ! [SY1709: pi,SY1710: late_residual] : ( SV260 @ SY1709 @ SY1710 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2418]) ).

thf(2639,plain,
    ! [SV772: name,SV261: name] :
      ( ( ( SV261 != SV772 )
        = $true )
      | ( ( ! [SY2362: name] :
              ( ( swap_name2 @ ( produc1570949143e_name @ SV261 @ SY2362 ) @ SV772 )
              = SY2362 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2419]) ).

thf(2640,plain,
    ! [SV261: name] :
      ( ( ~ ! [SY1713: name] :
              ( ( SV261 = SY1713 )
              | ! [SY1714: name] :
                  ( ( SY1714 != SY1713 )
                  | ( ( swap_name2 @ ( produc1570949143e_name @ SV261 @ SY1714 ) @ SY1713 )
                    = SV261 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2420]) ).

thf(2641,plain,
    ! [SV261: name] :
      ( ( ~ ! [SY1715: name] :
              ( ( SV261 = SY1715 )
              | ! [SY1716: name] :
                  ( ( SY1716 = SY1715 )
                  | ( ( swap_name2 @ ( produc1570949143e_name @ SV261 @ SY1716 ) @ SY1715 )
                    = SY1715 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2420]) ).

thf(2642,plain,
    ! [SV499: $o,SV262: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV262 @ SV499 ) )
        = $true )
      | ( ( ! [SY2120: name,SY2121: name] :
              ( ( perm_name_name @ SV262 @ ( if_name @ SV499 @ SY2120 @ SY2121 ) )
              = ( perm_name_name @ SV262 @ SY2120 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2421]) ).

thf(2643,plain,
    ! [SV499: $o,SV262: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV262 @ SV499 )
        = $true )
      | ( ( ! [SY2122: name,SY2123: name] :
              ( ( perm_name_name @ SV262 @ ( if_name @ SV499 @ SY2122 @ SY2123 ) )
              = ( perm_name_name @ SV262 @ SY2123 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2422]) ).

thf(2644,plain,
    ! [SV262: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV262 @ $true ) )
        = $true )
      | ( ( ! [SX0: name,SX1: name] :
              ( ( perm_name_name @ SV262 @ ( if_name @ $true @ SX0 @ SX1 ) )
              = ( perm_name_name @ SV262 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2423]) ).

thf(2645,plain,
    ! [SV262: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV262 @ $true )
        = $true )
      | ( ( ! [SX0: name,SX1: name] :
              ( ( perm_name_name @ SV262 @ ( if_name @ $true @ SX0 @ SX1 ) )
              = ( perm_name_name @ SV262 @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2424]) ).

thf(2646,plain,
    ! [SV262: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV262 @ $false ) )
        = $true )
      | ( ( ! [SX0: name,SX1: name] :
              ( ( perm_name_name @ SV262 @ ( if_name @ $false @ SX0 @ SX1 ) )
              = ( perm_name_name @ SV262 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2425]) ).

thf(2647,plain,
    ! [SV262: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV262 @ $false )
        = $true )
      | ( ( ! [SX0: name,SX1: name] :
              ( ( perm_name_name @ SV262 @ ( if_name @ $false @ SX0 @ SX1 ) )
              = ( perm_name_name @ SV262 @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2426]) ).

thf(2648,plain,
    ! [SV500: list_P227219501e_name,SV263: $o] :
      ( ( ( ~ SV263 ) = $true )
      | ( ( ! [SY2124: pi_Rep,SY2125: pi_Rep] :
              ( ( perm_name_pi_Rep @ SV500 @ ( if_pi_Rep @ SV263 @ SY2124 @ SY2125 ) )
              = ( perm_name_pi_Rep @ SV500 @ SY2124 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2427]) ).

thf(2649,plain,
    ! [SV500: list_P227219501e_name,SV263: $o] :
      ( ( SV263 = $true )
      | ( ( ! [SY2126: pi_Rep,SY2127: pi_Rep] :
              ( ( perm_name_pi_Rep @ SV500 @ ( if_pi_Rep @ SV263 @ SY2126 @ SY2127 ) )
              = ( perm_name_pi_Rep @ SV500 @ SY2127 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2428]) ).

thf(2650,plain,
    ! [SV501: list_P227219501e_name] :
      ( ( ( ~ $true ) = $true )
      | ( ( ! [SY2128: pi_Rep,SY2129: pi_Rep] :
              ( ( perm_name_pi_Rep @ SV501 @ ( if_pi_Rep @ $true @ SY2128 @ SY2129 ) )
              = ( perm_name_pi_Rep @ SV501 @ SY2128 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2429]) ).

thf(2651,plain,
    ! [SV501: list_P227219501e_name] :
      ( ( $true = $true )
      | ( ( ! [SY2130: pi_Rep,SY2131: pi_Rep] :
              ( ( perm_name_pi_Rep @ SV501 @ ( if_pi_Rep @ $true @ SY2130 @ SY2131 ) )
              = ( perm_name_pi_Rep @ SV501 @ SY2131 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2430]) ).

thf(2652,plain,
    ! [SV502: list_P227219501e_name] :
      ( ( ( ~ $false ) = $true )
      | ( ( ! [SY2132: pi_Rep,SY2133: pi_Rep] :
              ( ( perm_name_pi_Rep @ SV502 @ ( if_pi_Rep @ $false @ SY2132 @ SY2133 ) )
              = ( perm_name_pi_Rep @ SV502 @ SY2132 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2431]) ).

thf(2653,plain,
    ! [SV502: list_P227219501e_name] :
      ( ( $false = $true )
      | ( ( ! [SY2134: pi_Rep,SY2135: pi_Rep] :
              ( ( perm_name_pi_Rep @ SV502 @ ( if_pi_Rep @ $false @ SY2134 @ SY2135 ) )
              = ( perm_name_pi_Rep @ SV502 @ SY2135 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2432]) ).

thf(2654,plain,
    ! [SV707: name,SV643: name,SV503: name,SV264: name] :
      ( ( ( ~ ( ( ( late_OutputR @ SV264 @ SV503 )
                = ( late_OutputR @ SV643 @ SV707 ) )
              | ~ ( ( SV264 != SV643 )
                  | ( SV503 != SV707 ) ) ) )
        = $true )
      | ( ( ~ ( ( ( late_OutputR @ SV264 @ SV503 )
               != ( late_OutputR @ SV643 @ SV707 ) )
              | ~ ~ ( ( SV264 != SV643 )
                    | ( SV503 != SV707 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2433]) ).

thf(2655,plain,
    ! [SV265: name > late_residual > $o] :
      ( ( ( ~ ( SV265 @ ( sK40_SY1019 @ SV265 ) @ ( late_FreeR @ ( sK38_FreeRes2 @ SV265 ) @ ( sK39_SY1017 @ SV265 ) ) ) )
        = $true )
      | ( ( ! [SY1730: name,SY1731: late_residual] : ( SV265 @ SY1730 @ SY1731 ) )
        = $true )
      | ( ( fresh_name_name @ ( sK42_SY1020 @ SV265 ) @ ( sK44_SY1025 @ SV265 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2435]) ).

thf(2656,plain,
    ! [SV265: name > late_residual > $o] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK42_SY1020 @ SV265 ) @ ( sK41_Subject2 @ SV265 ) )
          | ~ ~ ( SV265 @ ( sK44_SY1025 @ SV265 ) @ ( late_BoundR @ ( sK41_Subject2 @ SV265 ) @ ( sK42_SY1020 @ SV265 ) @ ( sK43_SY1023 @ SV265 ) ) ) )
        = $false )
      | ( ( ~ ( SV265 @ ( sK40_SY1019 @ SV265 ) @ ( late_FreeR @ ( sK38_FreeRes2 @ SV265 ) @ ( sK39_SY1017 @ SV265 ) ) )
          | ! [SY1730: name,SY1731: late_residual] : ( SV265 @ SY1730 @ SY1731 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2436]) ).

thf(2657,plain,
    ! [SV33: name,SV292: late_subject,SV708: name] :
      ( ( ( fresh_717452603ubject @ SV708 @ SV292 )
        = $false )
      | ( ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV33 @ SV708 ) @ nil_Pr743626285e_name ) @ SV292 )
          = SV292 )
        = $true )
      | ( ( fresh_717452603ubject @ SV33 @ SV292 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2438]) ).

thf(2658,plain,
    ! [SV34: name,SV293: late_freeRes,SV709: name] :
      ( ( ( fresh_1641682979reeRes @ SV709 @ SV293 )
        = $false )
      | ( ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV34 @ SV709 ) @ nil_Pr743626285e_name ) @ SV293 )
          = SV293 )
        = $true )
      | ( ( fresh_1641682979reeRes @ SV34 @ SV293 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2439]) ).

thf(2659,plain,
    ! [SV35: name,SV294: pi_Rep,SV710: name] :
      ( ( ( fresh_name_pi_Rep @ SV710 @ SV294 )
        = $false )
      | ( ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV35 @ SV710 ) @ nil_Pr743626285e_name ) @ SV294 )
          = SV294 )
        = $true )
      | ( ( fresh_name_pi_Rep @ SV35 @ SV294 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2440]) ).

thf(2660,plain,
    ! [SV36: name,SV295: product_unit,SV711: name] :
      ( ( ( fresh_1143631827t_unit @ SV711 @ SV295 )
        = $false )
      | ( ( ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV36 @ SV711 ) @ nil_Pr743626285e_name ) @ SV295 )
          = SV295 )
        = $true )
      | ( ( fresh_1143631827t_unit @ SV36 @ SV295 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2441]) ).

thf(2661,plain,
    ! [SV37: name,SV296: produc1141751126_pi_pi,SV712: name] :
      ( ( ( fresh_1376661020_pi_pi @ SV712 @ SV296 )
        = $false )
      | ( ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV37 @ SV712 ) @ nil_Pr743626285e_name ) @ SV296 )
          = SV296 )
        = $true )
      | ( ( fresh_1376661020_pi_pi @ SV37 @ SV296 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2442]) ).

thf(2662,plain,
    ! [SV38: name,SV297: name,SV713: name] :
      ( ( ( fresh_name_name @ SV713 @ SV297 )
        = $false )
      | ( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV38 @ SV713 ) @ nil_Pr743626285e_name ) @ SV297 )
          = SV297 )
        = $true )
      | ( ( fresh_name_name @ SV38 @ SV297 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2443]) ).

thf(2663,plain,
    ! [SV39: name,SV298: pi,SV714: name] :
      ( ( ( fresh_name_pi @ SV714 @ SV298 )
        = $false )
      | ( ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV39 @ SV714 ) @ nil_Pr743626285e_name ) @ SV298 )
          = SV298 )
        = $true )
      | ( ( fresh_name_pi @ SV39 @ SV298 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2444]) ).

thf(2664,plain,
    ! [SV40: name,SV299: name > noption_pi,SV715: name] :
      ( ( ( fresh_543891186ion_pi @ SV715 @ SV299 )
        = $false )
      | ( ( ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV40 @ SV715 ) @ nil_Pr743626285e_name ) @ SV299 )
          = SV299 )
        = $true )
      | ( ( fresh_543891186ion_pi @ SV40 @ SV299 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2445]) ).

thf(2665,plain,
    ! [SV41: name,SV300: late_subject,SV716: name] :
      ( ( ( fresh_717452603ubject @ SV716 @ SV300 )
        = $false )
      | ( ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV41 @ SV716 ) @ nil_Pr743626285e_name ) @ SV300 )
          = SV300 )
        = $true )
      | ( ( fresh_717452603ubject @ SV41 @ SV300 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2446]) ).

thf(2666,plain,
    ! [SV42: name,SV301: late_freeRes,SV717: name] :
      ( ( ( fresh_1641682979reeRes @ SV717 @ SV301 )
        = $false )
      | ( ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV42 @ SV717 ) @ nil_Pr743626285e_name ) @ SV301 )
          = SV301 )
        = $true )
      | ( ( fresh_1641682979reeRes @ SV42 @ SV301 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2447]) ).

thf(2667,plain,
    ! [SV43: name,SV302: pi_Rep,SV718: name] :
      ( ( ( fresh_name_pi_Rep @ SV718 @ SV302 )
        = $false )
      | ( ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV43 @ SV718 ) @ nil_Pr743626285e_name ) @ SV302 )
          = SV302 )
        = $true )
      | ( ( fresh_name_pi_Rep @ SV43 @ SV302 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2448]) ).

thf(2668,plain,
    ! [SV44: name,SV303: product_unit,SV719: name] :
      ( ( ( fresh_1143631827t_unit @ SV719 @ SV303 )
        = $false )
      | ( ( ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV44 @ SV719 ) @ nil_Pr743626285e_name ) @ SV303 )
          = SV303 )
        = $true )
      | ( ( fresh_1143631827t_unit @ SV44 @ SV303 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2449]) ).

thf(2669,plain,
    ! [SV45: name,SV304: produc1141751126_pi_pi,SV720: name] :
      ( ( ( fresh_1376661020_pi_pi @ SV720 @ SV304 )
        = $false )
      | ( ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV45 @ SV720 ) @ nil_Pr743626285e_name ) @ SV304 )
          = SV304 )
        = $true )
      | ( ( fresh_1376661020_pi_pi @ SV45 @ SV304 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2450]) ).

thf(2670,plain,
    ! [SV46: name,SV305: name,SV721: name] :
      ( ( ( fresh_name_name @ SV721 @ SV305 )
        = $false )
      | ( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV46 @ SV721 ) @ nil_Pr743626285e_name ) @ SV305 )
          = SV305 )
        = $true )
      | ( ( fresh_name_name @ SV46 @ SV305 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2451]) ).

thf(2671,plain,
    ! [SV47: name,SV306: pi,SV722: name] :
      ( ( ( fresh_name_pi @ SV722 @ SV306 )
        = $false )
      | ( ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV47 @ SV722 ) @ nil_Pr743626285e_name ) @ SV306 )
          = SV306 )
        = $true )
      | ( ( fresh_name_pi @ SV47 @ SV306 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2452]) ).

thf(2672,plain,
    ! [SV48: name,SV307: name > noption_pi,SV723: name] :
      ( ( ( fresh_543891186ion_pi @ SV723 @ SV307 )
        = $false )
      | ( ( ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV48 @ SV723 ) @ nil_Pr743626285e_name ) @ SV307 )
          = SV307 )
        = $true )
      | ( ( fresh_543891186ion_pi @ SV48 @ SV307 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2453]) ).

thf(2673,plain,
    ! [SV308: list_P227219501e_name,SV724: pi,SV49: name] :
      ( ( ( fresh_name_pi @ SV49 @ SV724 )
        = $false )
      | ( ( fresh_name_pi @ SV49 @ ( perm_name_pi @ SV308 @ SV724 ) )
        = $true )
      | ( ( fresh_922791155e_name @ SV49 @ SV308 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2454]) ).

thf(2674,plain,
    ! [SV523: pi,SV309: name,SV50: list_P227219501e_name] :
      ( ( ( fresh_name_pi @ ( perm_name_name @ SV50 @ SV309 ) @ ( perm_name_pi @ SV50 @ SV523 ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_name_pi @ ( perm_name_name @ SV50 @ SV309 ) @ ( perm_name_pi @ SV50 @ SV523 ) )
              | ~ ( fresh_name_pi @ SV309 @ SV523 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2455]) ).

thf(2675,plain,
    ! [SV50: list_P227219501e_name,SV523: pi,SV309: name] :
      ( ( ( fresh_name_pi @ SV309 @ SV523 )
        = $false )
      | ( ( ~ ( ~ ( fresh_name_pi @ ( perm_name_name @ SV50 @ SV309 ) @ ( perm_name_pi @ SV50 @ SV523 ) )
              | ~ ( fresh_name_pi @ SV309 @ SV523 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2455]) ).

thf(2676,plain,
    ! [SV725: name,SV790: name,SV312: pi,SV53: name] :
      ( ( ( fresh_name_pi @ SV53 @ ( subs @ SV312 @ SV790 @ SV725 ) )
        = $true )
      | ( ( SV53 = SV725 )
        = $true )
      | ( ( fresh_name_pi @ SV53 @ SV312 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2456]) ).

thf(2677,plain,
    ! [SV320: name,SV649: late_subject,SV62: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV62 @ SV649 ) )
        = $true )
      | ( ( ! [SY2255: name] : ( fresh_717452603ubject @ SV62 @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV320 @ SY2255 ) @ nil_Pr743626285e_name ) @ SV649 ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ SV320 @ SV649 )
        = $false )
      | ( ( SV62 = SV320 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2457]) ).

thf(2678,plain,
    ! [SV321: name,SV650: late_freeRes,SV63: name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ SV63 @ SV650 ) )
        = $true )
      | ( ( ! [SY2256: name] : ( fresh_1641682979reeRes @ SV63 @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV321 @ SY2256 ) @ nil_Pr743626285e_name ) @ SV650 ) ) )
        = $true )
      | ( ( fresh_1641682979reeRes @ SV321 @ SV650 )
        = $false )
      | ( ( SV63 = SV321 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2458]) ).

thf(2679,plain,
    ! [SV322: name,SV651: pi_Rep,SV64: name] :
      ( ( ( ~ ( fresh_name_pi_Rep @ SV64 @ SV651 ) )
        = $true )
      | ( ( ! [SY2257: name] : ( fresh_name_pi_Rep @ SV64 @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV322 @ SY2257 ) @ nil_Pr743626285e_name ) @ SV651 ) ) )
        = $true )
      | ( ( fresh_name_pi_Rep @ SV322 @ SV651 )
        = $false )
      | ( ( SV64 = SV322 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2459]) ).

thf(2680,plain,
    ! [SV323: name,SV652: product_unit,SV65: name] :
      ( ( ( ~ ( fresh_1143631827t_unit @ SV65 @ SV652 ) )
        = $true )
      | ( ( ! [SY2258: name] : ( fresh_1143631827t_unit @ SV65 @ ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV323 @ SY2258 ) @ nil_Pr743626285e_name ) @ SV652 ) ) )
        = $true )
      | ( ( fresh_1143631827t_unit @ SV323 @ SV652 )
        = $false )
      | ( ( SV65 = SV323 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2460]) ).

thf(2681,plain,
    ! [SV324: name,SV653: produc1141751126_pi_pi,SV66: name] :
      ( ( ( ~ ( fresh_1376661020_pi_pi @ SV66 @ SV653 ) )
        = $true )
      | ( ( ! [SY2259: name] : ( fresh_1376661020_pi_pi @ SV66 @ ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV324 @ SY2259 ) @ nil_Pr743626285e_name ) @ SV653 ) ) )
        = $true )
      | ( ( fresh_1376661020_pi_pi @ SV324 @ SV653 )
        = $false )
      | ( ( SV66 = SV324 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2461]) ).

thf(2682,plain,
    ! [SV325: name,SV654: name,SV67: name] :
      ( ( ( ~ ( fresh_name_name @ SV67 @ SV654 ) )
        = $true )
      | ( ( ! [SY2260: name] : ( fresh_name_name @ SV67 @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV325 @ SY2260 ) @ nil_Pr743626285e_name ) @ SV654 ) ) )
        = $true )
      | ( ( fresh_name_name @ SV325 @ SV654 )
        = $false )
      | ( ( SV67 = SV325 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2462]) ).

thf(2683,plain,
    ! [SV326: name,SV655: pi,SV68: name] :
      ( ( ( ~ ( fresh_name_pi @ SV68 @ SV655 ) )
        = $true )
      | ( ( ! [SY2261: name] : ( fresh_name_pi @ SV68 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV326 @ SY2261 ) @ nil_Pr743626285e_name ) @ SV655 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV326 @ SV655 )
        = $false )
      | ( ( SV68 = SV326 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2463]) ).

thf(2684,plain,
    ! [SV327: name,SV656: name > noption_pi,SV69: name] :
      ( ( ( ~ ( fresh_543891186ion_pi @ SV69 @ SV656 ) )
        = $true )
      | ( ( ! [SY2262: name] : ( fresh_543891186ion_pi @ SV69 @ ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV327 @ SY2262 ) @ nil_Pr743626285e_name ) @ SV656 ) ) )
        = $true )
      | ( ( fresh_543891186ion_pi @ SV327 @ SV656 )
        = $false )
      | ( ( SV69 = SV327 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2464]) ).

thf(2685,plain,
    ! [SV528: pi,SV331: pi,SV73: list_P227219501e_name] :
      ( ( ( ( perm_name_pi @ SV73 @ SV331 )
          = ( perm_name_pi @ SV73 @ SV528 ) )
        = $false )
      | ( ( ~ ( ( ( perm_name_pi @ SV73 @ SV331 )
               != ( perm_name_pi @ SV73 @ SV528 ) )
              | ( SV331 != SV528 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2465]) ).

thf(2686,plain,
    ! [SV73: list_P227219501e_name,SV528: pi,SV331: pi] :
      ( ( ( SV331 = SV528 )
        = $false )
      | ( ( ~ ( ( ( perm_name_pi @ SV73 @ SV331 )
               != ( perm_name_pi @ SV73 @ SV528 ) )
              | ( SV331 != SV528 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2465]) ).

thf(2687,plain,
    ! [SV531: pi,SV334: pi,SV76: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV76 @ ( SV334 = SV531 ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV76 @ ( SV334 = SV531 ) )
              | ( ( perm_name_pi @ SV76 @ SV334 )
               != ( perm_name_pi @ SV76 @ SV531 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2466]) ).

thf(2688,plain,
    ! [SV531: pi,SV334: pi,SV76: list_P227219501e_name] :
      ( ( ( ( perm_name_pi @ SV76 @ SV334 )
          = ( perm_name_pi @ SV76 @ SV531 ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV76 @ ( SV334 = SV531 ) )
              | ( ( perm_name_pi @ SV76 @ SV334 )
               != ( perm_name_pi @ SV76 @ SV531 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2466]) ).

thf(2689,plain,
    ! [SV345: name,SV90: name] :
      ( ( ( ( ( late_BoundOutputS @ SV90 )
           != ( late_BoundOutputS @ SV345 ) )
          | ( SV90 != SV345 ) )
        = $false )
      | ( ( ( late_BoundOutputS @ SV90 )
          = ( late_BoundOutputS @ SV345 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2469]) ).

thf(2690,plain,
    ! [SV345: name,SV90: name] :
      ( ( ( ( ( late_BoundOutputS @ SV90 )
           != ( late_BoundOutputS @ SV345 ) )
          | ( SV90 != SV345 ) )
        = $false )
      | ( ( SV90 = SV345 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2470]) ).

thf(2691,plain,
    ! [SV348: name,SV93: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV93 @ ( late_BoundOutputS @ SV348 ) )
          | ~ ( fresh_name_name @ SV93 @ SV348 ) )
        = $false )
      | ( ( fresh_717452603ubject @ SV93 @ ( late_BoundOutputS @ SV348 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2472]) ).

thf(2692,plain,
    ! [SV348: name,SV93: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV93 @ ( late_BoundOutputS @ SV348 ) )
          | ~ ( fresh_name_name @ SV93 @ SV348 ) )
        = $false )
      | ( ( fresh_name_name @ SV93 @ SV348 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2473]) ).

thf(2693,plain,
    ! [SV349: late_residual,SV94: pi,SV734: name] :
      ( ( ( fresh_name_pi @ SV734 @ SV94 )
        = $false )
      | ( ( fresh_81631222sidual @ SV734 @ SV349 )
        = $true )
      | ( ( late_transitions @ SV94 @ SV349 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2474]) ).

thf(2694,plain,
    ! [SV538: pi,SV95: pi,SV350: late_freeRes,SV777: name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ SV777 @ SV350 ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV777 @ SV95 ) @ ( late_FreeR @ SV350 @ ( res @ SV777 @ SV538 ) ) )
        = $true )
      | ( ( late_transitions @ SV95 @ ( late_FreeR @ SV350 @ SV538 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2475]) ).

thf(2695,plain,
    ! [SV658: pi,SV96: pi,SV539: name,SV351: late_subject,SV791: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV791 @ SV351 )
          | ( SV791 = SV539 )
          | ( late_transitions @ ( res @ SV791 @ SV96 ) @ ( late_BoundR @ SV351 @ SV539 @ ( res @ SV791 @ SV658 ) ) ) )
        = $true )
      | ( ( late_transitions @ SV96 @ ( late_BoundR @ SV351 @ SV539 @ SV658 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2476]) ).

thf(2696,plain,
    ! [SV735: pi,SV540: name,SV352: late_subject,SV97: pi,SV792: name] :
      ( ( ( ~ ( fresh_name_pi @ SV792 @ SV97 )
          | ( fresh_717452603ubject @ SV792 @ SV352 ) )
        = $true )
      | ( ( late_transitions @ SV97 @ ( late_BoundR @ SV352 @ SV540 @ SV735 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2477]) ).

thf(2697,plain,
    ! [SV659: pi,SV98: pi,SV541: name,SV353: late_subject,SV793: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV793 @ SV353 )
          | ( SV793 = SV541 )
          | ~ ( fresh_name_pi @ SV541 @ SV98 )
          | ~ ( fresh_717452603ubject @ SV541 @ SV353 )
          | ( late_transitions @ ( res @ SV793 @ SV98 ) @ ( late_BoundR @ SV353 @ SV541 @ ( res @ SV793 @ SV659 ) ) ) )
        = $true )
      | ( ( late_transitions @ SV98 @ ( late_BoundR @ SV353 @ SV541 @ SV659 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2478]) ).

thf(2698,plain,
    ! [SV660: pi,SV354: late_subject,SV99: pi,SV542: name] :
      ( ( ( ~ ( fresh_name_pi @ SV542 @ SV99 ) )
        = $true )
      | ( ( ! [SY2265: pi] :
              ( ~ ( fresh_name_pi @ SV542 @ SY2265 )
              | ~ ( fresh_717452603ubject @ SV542 @ SV354 )
              | ( late_transitions @ ( par @ SV99 @ SY2265 ) @ ( late_BoundR @ SV354 @ SV542 @ ( par @ SV660 @ SY2265 ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV99 @ ( late_BoundR @ SV354 @ SV542 @ SV660 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2479]) ).

thf(2699,plain,
    ! [SV661: pi,SV355: late_subject,SV100: pi,SV794: pi,SV543: name] :
      ( ( ( ~ ( fresh_name_pi @ SV543 @ SV794 )
          | ~ ( fresh_name_pi @ SV543 @ SV100 )
          | ~ ( fresh_717452603ubject @ SV543 @ SV355 )
          | ( late_transitions @ ( par @ SV794 @ SV100 ) @ ( late_BoundR @ SV355 @ SV543 @ ( par @ SV794 @ SV661 ) ) ) )
        = $true )
      | ( ( late_transitions @ SV100 @ ( late_BoundR @ SV355 @ SV543 @ SV661 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2480]) ).

thf(2700,plain,
    ! [SV361: late_subject,SV663: pi,SV547: name,SV108: pi,SV795: name] :
      ( ( ( ~ ( fresh_name_pi @ SV795 @ SV108 )
          | ( SV795 = SV547 )
          | ( fresh_name_pi @ SV795 @ SV663 ) )
        = $true )
      | ( ( late_transitions @ SV108 @ ( late_BoundR @ SV361 @ SV547 @ SV663 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2486]) ).

thf(2701,plain,
    ! [SV362: late_freeRes,SV548: pi,SV109: pi,SV782: name] :
      ( ( ( ~ ( fresh_name_pi @ SV782 @ SV109 ) )
        = $true )
      | ( ( fresh_name_pi @ SV782 @ SV548 )
        = $true )
      | ( ( late_transitions @ SV109 @ ( late_FreeR @ SV362 @ SV548 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2487]) ).

thf(2702,plain,
    ! [SV664: pi,SV363: late_subject,SV110: pi,SV796: pi,SV549: name] :
      ( ( ( ~ ( fresh_name_pi @ SV549 @ SV796 )
          | ( late_transitions @ ( par @ SV110 @ SV796 ) @ ( late_BoundR @ SV363 @ SV549 @ ( par @ SV664 @ SV796 ) ) ) )
        = $true )
      | ( ( late_transitions @ SV110 @ ( late_BoundR @ SV363 @ SV549 @ SV664 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2488]) ).

thf(2703,plain,
    ! [SV665: pi,SV364: late_subject,SV111: pi,SV797: pi,SV550: name] :
      ( ( ( ~ ( fresh_name_pi @ SV550 @ SV797 )
          | ( late_transitions @ ( par @ SV797 @ SV111 ) @ ( late_BoundR @ SV364 @ SV550 @ ( par @ SV797 @ SV665 ) ) ) )
        = $true )
      | ( ( late_transitions @ SV111 @ ( late_BoundR @ SV364 @ SV550 @ SV665 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2489]) ).

thf(2704,plain,
    ! [SV666: pi,SV112: pi,SV551: name,SV365: name] :
      ( ( ( SV365 = SV551 )
        = $true )
      | ( ( late_transitions @ ( res @ SV551 @ SV112 ) @ ( late_BoundR @ ( late_BoundOutputS @ SV365 ) @ SV551 @ SV666 ) )
        = $true )
      | ( ( late_transitions @ SV112 @ ( late_FreeR @ ( late_OutputR @ SV365 @ SV551 ) @ SV666 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2490]) ).

thf(2705,plain,
    ! [SV738: set_Pr1834926343_pi_pi,SV667: name,SV552: late_subject,SV366: pi,SV113: pi] :
      ( ( ( strong2129052853vative @ SV113 @ SV366 @ SV552 @ SV667 @ SV738 )
        = $false )
      | ( ( ~ ( eqvt_pi @ SV738 )
          | ! [SY2331: list_P227219501e_name] : ( strong2129052853vative @ ( perm_name_pi @ SY2331 @ SV113 ) @ ( perm_name_pi @ SY2331 @ SV366 ) @ SV552 @ ( perm_name_name @ SY2331 @ SV667 ) @ SV738 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2491]) ).

thf(2706,plain,
    ! [SV371: name,SV119: name] :
      ( ( ( ( ( late_BoundOutputS @ SV119 )
           != ( late_BoundOutputS @ SV371 ) )
          | ( SV119 != SV371 ) )
        = $false )
      | ( ( ( late_BoundOutputS @ SV119 )
          = ( late_BoundOutputS @ SV371 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2492]) ).

thf(2707,plain,
    ! [SV371: name,SV119: name] :
      ( ( ( ( ( late_BoundOutputS @ SV119 )
           != ( late_BoundOutputS @ SV371 ) )
          | ( SV119 != SV371 ) )
        = $false )
      | ( ( SV119 = SV371 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2493]) ).

thf(2708,plain,
    ! [SV783: pi,SV743: late_freeRes,SV674: pi,SV560: name,SV378: name,SV127: name] :
      ( ( late_transitions @ ( res @ SV127 @ ( input @ SV378 @ SV560 @ SV674 ) ) @ ( late_FreeR @ SV743 @ SV783 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2497]) ).

thf(2709,plain,
    ! [SV784: pi,SV744: name,SV675: name,SV561: pi,SV379: name,SV128: name] :
      ( ( late_transitions @ ( input @ SV128 @ SV379 @ SV561 ) @ ( late_BoundR @ ( late_BoundOutputS @ SV675 ) @ SV744 @ SV784 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2498]) ).

thf(2710,plain,
    ! [SV798: pi,SV785: name,SV677: late_subject,SV563: pi,SV382: name,SV131: name] :
      ( ( ( ~ ( late_transitions @ ( input @ SV131 @ SV382 @ SV563 ) @ ( late_BoundR @ SV677 @ SV785 @ SV798 ) ) )
        = $true )
      | ( ( ~ ( fresh_717452603ubject @ SV131 @ SV677 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2499]) ).

thf(2711,plain,
    ! [SV799: pi,SV786: name,SV745: name,SV678: pi,SV564: name,SV383: name,SV132: name] :
      ( ( ~ ( late_transitions @ ( res @ SV132 @ ( input @ SV383 @ SV564 @ SV678 ) ) @ ( late_BoundR @ ( late_BoundOutputS @ SV745 ) @ SV786 @ SV799 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2500]) ).

thf(2712,plain,
    ! [SV135: $o] :
      ( ( ( ~ SV135
          | ~ $true )
        = $false )
      | ( SV135 = $false )
      | ( ( SV135 = $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2502]) ).

thf(2713,plain,
    ! [SV135: $o] :
      ( ( ( ~ SV135
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV135 = $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2503]) ).

thf(2714,plain,
    ! [SV135: $o] :
      ( ( SV135 = $false )
      | ( ( ~ ( ~ SV135
              | ~ $false ) )
        = $true )
      | ( ( SV135 = $true )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2504]) ).

thf(2715,plain,
    ! [SV135: $o] :
      ( ( $false = $false )
      | ( ( ~ ( ~ SV135
              | ~ $false ) )
        = $true )
      | ( ( SV135 = $true )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2504]) ).

thf(2716,plain,
    ( ( ( ~ $true
        | ~ $true )
      = $false )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2505]) ).

thf(2717,plain,
    ( ( ( ~ $true
        | ~ $true )
      = $false )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2506]) ).

thf(2718,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2507]) ).

thf(2719,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2507]) ).

thf(2720,plain,
    ( ( ( ~ $false
        | ~ $true )
      = $false )
    | ( $false = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2508]) ).

thf(2721,plain,
    ( ( ( ~ $false
        | ~ $true )
      = $false )
    | ( $true = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2509]) ).

thf(2722,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2510]) ).

thf(2723,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2510]) ).

thf(2724,plain,
    ! [SV386: list_P227219501e_name,SV747: late_subject,SV136: name] :
      ( ( ( fresh_717452603ubject @ SV136 @ SV747 )
        = $false )
      | ( ( fresh_717452603ubject @ SV136 @ ( perm_n1559866809ubject @ SV386 @ SV747 ) )
        = $true )
      | ( ( fresh_922791155e_name @ SV136 @ SV386 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2511]) ).

thf(2725,plain,
    ! [SV387: list_P227219501e_name,SV748: late_freeRes,SV137: name] :
      ( ( ( fresh_1641682979reeRes @ SV137 @ SV748 )
        = $false )
      | ( ( fresh_1641682979reeRes @ SV137 @ ( perm_n336613537reeRes @ SV387 @ SV748 ) )
        = $true )
      | ( ( fresh_922791155e_name @ SV137 @ SV387 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2512]) ).

thf(2726,plain,
    ! [SV388: list_P227219501e_name,SV749: pi_Rep,SV138: name] :
      ( ( ( fresh_name_pi_Rep @ SV138 @ SV749 )
        = $false )
      | ( ( fresh_name_pi_Rep @ SV138 @ ( perm_name_pi_Rep @ SV388 @ SV749 ) )
        = $true )
      | ( ( fresh_922791155e_name @ SV138 @ SV388 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2513]) ).

thf(2727,plain,
    ! [SV389: list_P227219501e_name,SV750: product_unit,SV139: name] :
      ( ( ( fresh_1143631827t_unit @ SV139 @ SV750 )
        = $false )
      | ( ( fresh_1143631827t_unit @ SV139 @ ( perm_n1960409557t_unit @ SV389 @ SV750 ) )
        = $true )
      | ( ( fresh_922791155e_name @ SV139 @ SV389 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2514]) ).

thf(2728,plain,
    ! [SV390: list_P227219501e_name,SV751: produc1141751126_pi_pi,SV140: name] :
      ( ( ( fresh_1376661020_pi_pi @ SV140 @ SV751 )
        = $false )
      | ( ( fresh_1376661020_pi_pi @ SV140 @ ( perm_n1255502110_pi_pi @ SV390 @ SV751 ) )
        = $true )
      | ( ( fresh_922791155e_name @ SV140 @ SV390 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2515]) ).

thf(2729,plain,
    ! [SV391: list_P227219501e_name,SV752: name,SV141: name] :
      ( ( ( fresh_name_name @ SV141 @ SV752 )
        = $false )
      | ( ( fresh_name_name @ SV141 @ ( perm_name_name @ SV391 @ SV752 ) )
        = $true )
      | ( ( fresh_922791155e_name @ SV141 @ SV391 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2516]) ).

thf(2730,plain,
    ! [SV392: list_P227219501e_name,SV753: name > noption_pi,SV142: name] :
      ( ( ( fresh_543891186ion_pi @ SV142 @ SV753 )
        = $false )
      | ( ( fresh_543891186ion_pi @ SV142 @ ( perm_n1667196784ion_pi @ SV392 @ SV753 ) )
        = $true )
      | ( ( fresh_922791155e_name @ SV142 @ SV392 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2517]) ).

thf(2731,plain,
    ! [SV566: late_subject,SV393: name,SV147: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV147 @ ( fresh_717452603ubject @ SV393 @ SV566 ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV147 @ ( fresh_717452603ubject @ SV393 @ SV566 ) )
              | ~ ( fresh_717452603ubject @ ( perm_name_name @ SV147 @ SV393 ) @ ( perm_n1559866809ubject @ SV147 @ SV566 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2518]) ).

thf(2732,plain,
    ! [SV566: late_subject,SV393: name,SV147: list_P227219501e_name] :
      ( ( ( fresh_717452603ubject @ ( perm_name_name @ SV147 @ SV393 ) @ ( perm_n1559866809ubject @ SV147 @ SV566 ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV147 @ ( fresh_717452603ubject @ SV393 @ SV566 ) )
              | ~ ( fresh_717452603ubject @ ( perm_name_name @ SV147 @ SV393 ) @ ( perm_n1559866809ubject @ SV147 @ SV566 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2518]) ).

thf(2733,plain,
    ! [SV567: late_freeRes,SV394: name,SV148: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV148 @ ( fresh_1641682979reeRes @ SV394 @ SV567 ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV148 @ ( fresh_1641682979reeRes @ SV394 @ SV567 ) )
              | ~ ( fresh_1641682979reeRes @ ( perm_name_name @ SV148 @ SV394 ) @ ( perm_n336613537reeRes @ SV148 @ SV567 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2519]) ).

thf(2734,plain,
    ! [SV567: late_freeRes,SV394: name,SV148: list_P227219501e_name] :
      ( ( ( fresh_1641682979reeRes @ ( perm_name_name @ SV148 @ SV394 ) @ ( perm_n336613537reeRes @ SV148 @ SV567 ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV148 @ ( fresh_1641682979reeRes @ SV394 @ SV567 ) )
              | ~ ( fresh_1641682979reeRes @ ( perm_name_name @ SV148 @ SV394 ) @ ( perm_n336613537reeRes @ SV148 @ SV567 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2519]) ).

thf(2735,plain,
    ! [SV568: pi_Rep,SV395: name,SV149: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV149 @ ( fresh_name_pi_Rep @ SV395 @ SV568 ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV149 @ ( fresh_name_pi_Rep @ SV395 @ SV568 ) )
              | ~ ( fresh_name_pi_Rep @ ( perm_name_name @ SV149 @ SV395 ) @ ( perm_name_pi_Rep @ SV149 @ SV568 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2520]) ).

thf(2736,plain,
    ! [SV568: pi_Rep,SV395: name,SV149: list_P227219501e_name] :
      ( ( ( fresh_name_pi_Rep @ ( perm_name_name @ SV149 @ SV395 ) @ ( perm_name_pi_Rep @ SV149 @ SV568 ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV149 @ ( fresh_name_pi_Rep @ SV395 @ SV568 ) )
              | ~ ( fresh_name_pi_Rep @ ( perm_name_name @ SV149 @ SV395 ) @ ( perm_name_pi_Rep @ SV149 @ SV568 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2520]) ).

thf(2737,plain,
    ! [SV569: product_unit,SV396: name,SV150: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV150 @ ( fresh_1143631827t_unit @ SV396 @ SV569 ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV150 @ ( fresh_1143631827t_unit @ SV396 @ SV569 ) )
              | ~ ( fresh_1143631827t_unit @ ( perm_name_name @ SV150 @ SV396 ) @ ( perm_n1960409557t_unit @ SV150 @ SV569 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2521]) ).

thf(2738,plain,
    ! [SV569: product_unit,SV396: name,SV150: list_P227219501e_name] :
      ( ( ( fresh_1143631827t_unit @ ( perm_name_name @ SV150 @ SV396 ) @ ( perm_n1960409557t_unit @ SV150 @ SV569 ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV150 @ ( fresh_1143631827t_unit @ SV396 @ SV569 ) )
              | ~ ( fresh_1143631827t_unit @ ( perm_name_name @ SV150 @ SV396 ) @ ( perm_n1960409557t_unit @ SV150 @ SV569 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2521]) ).

thf(2739,plain,
    ! [SV570: produc1141751126_pi_pi,SV397: name,SV151: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV151 @ ( fresh_1376661020_pi_pi @ SV397 @ SV570 ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV151 @ ( fresh_1376661020_pi_pi @ SV397 @ SV570 ) )
              | ~ ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV151 @ SV397 ) @ ( perm_n1255502110_pi_pi @ SV151 @ SV570 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2522]) ).

thf(2740,plain,
    ! [SV570: produc1141751126_pi_pi,SV397: name,SV151: list_P227219501e_name] :
      ( ( ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV151 @ SV397 ) @ ( perm_n1255502110_pi_pi @ SV151 @ SV570 ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV151 @ ( fresh_1376661020_pi_pi @ SV397 @ SV570 ) )
              | ~ ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV151 @ SV397 ) @ ( perm_n1255502110_pi_pi @ SV151 @ SV570 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2522]) ).

thf(2741,plain,
    ! [SV571: name,SV398: name,SV152: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV152 @ ( fresh_name_name @ SV398 @ SV571 ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV152 @ ( fresh_name_name @ SV398 @ SV571 ) )
              | ~ ( fresh_name_name @ ( perm_name_name @ SV152 @ SV398 ) @ ( perm_name_name @ SV152 @ SV571 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2523]) ).

thf(2742,plain,
    ! [SV571: name,SV398: name,SV152: list_P227219501e_name] :
      ( ( ( fresh_name_name @ ( perm_name_name @ SV152 @ SV398 ) @ ( perm_name_name @ SV152 @ SV571 ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV152 @ ( fresh_name_name @ SV398 @ SV571 ) )
              | ~ ( fresh_name_name @ ( perm_name_name @ SV152 @ SV398 ) @ ( perm_name_name @ SV152 @ SV571 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2523]) ).

thf(2743,plain,
    ! [SV572: pi,SV399: name,SV153: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV153 @ ( fresh_name_pi @ SV399 @ SV572 ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV153 @ ( fresh_name_pi @ SV399 @ SV572 ) )
              | ~ ( fresh_name_pi @ ( perm_name_name @ SV153 @ SV399 ) @ ( perm_name_pi @ SV153 @ SV572 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2524]) ).

thf(2744,plain,
    ! [SV572: pi,SV399: name,SV153: list_P227219501e_name] :
      ( ( ( fresh_name_pi @ ( perm_name_name @ SV153 @ SV399 ) @ ( perm_name_pi @ SV153 @ SV572 ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV153 @ ( fresh_name_pi @ SV399 @ SV572 ) )
              | ~ ( fresh_name_pi @ ( perm_name_name @ SV153 @ SV399 ) @ ( perm_name_pi @ SV153 @ SV572 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2524]) ).

thf(2745,plain,
    ! [SV573: name > noption_pi,SV400: name,SV154: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV154 @ ( fresh_543891186ion_pi @ SV400 @ SV573 ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV154 @ ( fresh_543891186ion_pi @ SV400 @ SV573 ) )
              | ~ ( fresh_543891186ion_pi @ ( perm_name_name @ SV154 @ SV400 ) @ ( perm_n1667196784ion_pi @ SV154 @ SV573 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2525]) ).

thf(2746,plain,
    ! [SV573: name > noption_pi,SV400: name,SV154: list_P227219501e_name] :
      ( ( ( fresh_543891186ion_pi @ ( perm_name_name @ SV154 @ SV400 ) @ ( perm_n1667196784ion_pi @ SV154 @ SV573 ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV154 @ ( fresh_543891186ion_pi @ SV400 @ SV573 ) )
              | ~ ( fresh_543891186ion_pi @ ( perm_name_name @ SV154 @ SV400 ) @ ( perm_n1667196784ion_pi @ SV154 @ SV573 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2525]) ).

thf(2747,plain,
    ! [SV574: late_subject,SV401: name,SV155: list_P227219501e_name] :
      ( ( ( fresh_717452603ubject @ ( perm_name_name @ SV155 @ SV401 ) @ ( perm_n1559866809ubject @ SV155 @ SV574 ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_717452603ubject @ ( perm_name_name @ SV155 @ SV401 ) @ ( perm_n1559866809ubject @ SV155 @ SV574 ) )
              | ~ ( fresh_717452603ubject @ SV401 @ SV574 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2526]) ).

thf(2748,plain,
    ! [SV155: list_P227219501e_name,SV574: late_subject,SV401: name] :
      ( ( ( fresh_717452603ubject @ SV401 @ SV574 )
        = $false )
      | ( ( ~ ( ~ ( fresh_717452603ubject @ ( perm_name_name @ SV155 @ SV401 ) @ ( perm_n1559866809ubject @ SV155 @ SV574 ) )
              | ~ ( fresh_717452603ubject @ SV401 @ SV574 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2526]) ).

thf(2749,plain,
    ! [SV575: late_freeRes,SV402: name,SV156: list_P227219501e_name] :
      ( ( ( fresh_1641682979reeRes @ ( perm_name_name @ SV156 @ SV402 ) @ ( perm_n336613537reeRes @ SV156 @ SV575 ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_1641682979reeRes @ ( perm_name_name @ SV156 @ SV402 ) @ ( perm_n336613537reeRes @ SV156 @ SV575 ) )
              | ~ ( fresh_1641682979reeRes @ SV402 @ SV575 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2527]) ).

thf(2750,plain,
    ! [SV156: list_P227219501e_name,SV575: late_freeRes,SV402: name] :
      ( ( ( fresh_1641682979reeRes @ SV402 @ SV575 )
        = $false )
      | ( ( ~ ( ~ ( fresh_1641682979reeRes @ ( perm_name_name @ SV156 @ SV402 ) @ ( perm_n336613537reeRes @ SV156 @ SV575 ) )
              | ~ ( fresh_1641682979reeRes @ SV402 @ SV575 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2527]) ).

thf(2751,plain,
    ! [SV576: pi_Rep,SV403: name,SV157: list_P227219501e_name] :
      ( ( ( fresh_name_pi_Rep @ ( perm_name_name @ SV157 @ SV403 ) @ ( perm_name_pi_Rep @ SV157 @ SV576 ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_name_pi_Rep @ ( perm_name_name @ SV157 @ SV403 ) @ ( perm_name_pi_Rep @ SV157 @ SV576 ) )
              | ~ ( fresh_name_pi_Rep @ SV403 @ SV576 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2528]) ).

thf(2752,plain,
    ! [SV157: list_P227219501e_name,SV576: pi_Rep,SV403: name] :
      ( ( ( fresh_name_pi_Rep @ SV403 @ SV576 )
        = $false )
      | ( ( ~ ( ~ ( fresh_name_pi_Rep @ ( perm_name_name @ SV157 @ SV403 ) @ ( perm_name_pi_Rep @ SV157 @ SV576 ) )
              | ~ ( fresh_name_pi_Rep @ SV403 @ SV576 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2528]) ).

thf(2753,plain,
    ! [SV577: product_unit,SV404: name,SV158: list_P227219501e_name] :
      ( ( ( fresh_1143631827t_unit @ ( perm_name_name @ SV158 @ SV404 ) @ ( perm_n1960409557t_unit @ SV158 @ SV577 ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_1143631827t_unit @ ( perm_name_name @ SV158 @ SV404 ) @ ( perm_n1960409557t_unit @ SV158 @ SV577 ) )
              | ~ ( fresh_1143631827t_unit @ SV404 @ SV577 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2529]) ).

thf(2754,plain,
    ! [SV158: list_P227219501e_name,SV577: product_unit,SV404: name] :
      ( ( ( fresh_1143631827t_unit @ SV404 @ SV577 )
        = $false )
      | ( ( ~ ( ~ ( fresh_1143631827t_unit @ ( perm_name_name @ SV158 @ SV404 ) @ ( perm_n1960409557t_unit @ SV158 @ SV577 ) )
              | ~ ( fresh_1143631827t_unit @ SV404 @ SV577 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2529]) ).

thf(2755,plain,
    ! [SV578: produc1141751126_pi_pi,SV405: name,SV159: list_P227219501e_name] :
      ( ( ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV159 @ SV405 ) @ ( perm_n1255502110_pi_pi @ SV159 @ SV578 ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV159 @ SV405 ) @ ( perm_n1255502110_pi_pi @ SV159 @ SV578 ) )
              | ~ ( fresh_1376661020_pi_pi @ SV405 @ SV578 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2530]) ).

thf(2756,plain,
    ! [SV159: list_P227219501e_name,SV578: produc1141751126_pi_pi,SV405: name] :
      ( ( ( fresh_1376661020_pi_pi @ SV405 @ SV578 )
        = $false )
      | ( ( ~ ( ~ ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV159 @ SV405 ) @ ( perm_n1255502110_pi_pi @ SV159 @ SV578 ) )
              | ~ ( fresh_1376661020_pi_pi @ SV405 @ SV578 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2530]) ).

thf(2757,plain,
    ! [SV579: name,SV406: name,SV160: list_P227219501e_name] :
      ( ( ( fresh_name_name @ ( perm_name_name @ SV160 @ SV406 ) @ ( perm_name_name @ SV160 @ SV579 ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_name_name @ ( perm_name_name @ SV160 @ SV406 ) @ ( perm_name_name @ SV160 @ SV579 ) )
              | ~ ( fresh_name_name @ SV406 @ SV579 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2531]) ).

thf(2758,plain,
    ! [SV160: list_P227219501e_name,SV579: name,SV406: name] :
      ( ( ( fresh_name_name @ SV406 @ SV579 )
        = $false )
      | ( ( ~ ( ~ ( fresh_name_name @ ( perm_name_name @ SV160 @ SV406 ) @ ( perm_name_name @ SV160 @ SV579 ) )
              | ~ ( fresh_name_name @ SV406 @ SV579 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2531]) ).

thf(2759,plain,
    ! [SV580: name > noption_pi,SV407: name,SV161: list_P227219501e_name] :
      ( ( ( fresh_543891186ion_pi @ ( perm_name_name @ SV161 @ SV407 ) @ ( perm_n1667196784ion_pi @ SV161 @ SV580 ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_543891186ion_pi @ ( perm_name_name @ SV161 @ SV407 ) @ ( perm_n1667196784ion_pi @ SV161 @ SV580 ) )
              | ~ ( fresh_543891186ion_pi @ SV407 @ SV580 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2532]) ).

thf(2760,plain,
    ! [SV161: list_P227219501e_name,SV580: name > noption_pi,SV407: name] :
      ( ( ( fresh_543891186ion_pi @ SV407 @ SV580 )
        = $false )
      | ( ( ~ ( ~ ( fresh_543891186ion_pi @ ( perm_name_name @ SV161 @ SV407 ) @ ( perm_n1667196784ion_pi @ SV161 @ SV580 ) )
              | ~ ( fresh_543891186ion_pi @ SV407 @ SV580 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2532]) ).

thf(2761,plain,
    ! [SV593: late_subject,SV420: late_subject,SV174: list_P227219501e_name] :
      ( ( ( ( perm_n1559866809ubject @ SV174 @ SV420 )
          = ( perm_n1559866809ubject @ SV174 @ SV593 ) )
        = $false )
      | ( ( ~ ( ( ( perm_n1559866809ubject @ SV174 @ SV420 )
               != ( perm_n1559866809ubject @ SV174 @ SV593 ) )
              | ( SV420 != SV593 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2533]) ).

thf(2762,plain,
    ! [SV174: list_P227219501e_name,SV593: late_subject,SV420: late_subject] :
      ( ( ( SV420 = SV593 )
        = $false )
      | ( ( ~ ( ( ( perm_n1559866809ubject @ SV174 @ SV420 )
               != ( perm_n1559866809ubject @ SV174 @ SV593 ) )
              | ( SV420 != SV593 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2533]) ).

thf(2763,plain,
    ! [SV594: late_freeRes,SV421: late_freeRes,SV175: list_P227219501e_name] :
      ( ( ( ( perm_n336613537reeRes @ SV175 @ SV421 )
          = ( perm_n336613537reeRes @ SV175 @ SV594 ) )
        = $false )
      | ( ( ~ ( ( ( perm_n336613537reeRes @ SV175 @ SV421 )
               != ( perm_n336613537reeRes @ SV175 @ SV594 ) )
              | ( SV421 != SV594 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2534]) ).

thf(2764,plain,
    ! [SV175: list_P227219501e_name,SV594: late_freeRes,SV421: late_freeRes] :
      ( ( ( SV421 = SV594 )
        = $false )
      | ( ( ~ ( ( ( perm_n336613537reeRes @ SV175 @ SV421 )
               != ( perm_n336613537reeRes @ SV175 @ SV594 ) )
              | ( SV421 != SV594 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2534]) ).

thf(2765,plain,
    ! [SV595: pi_Rep,SV422: pi_Rep,SV176: list_P227219501e_name] :
      ( ( ( ( perm_name_pi_Rep @ SV176 @ SV422 )
          = ( perm_name_pi_Rep @ SV176 @ SV595 ) )
        = $false )
      | ( ( ~ ( ( ( perm_name_pi_Rep @ SV176 @ SV422 )
               != ( perm_name_pi_Rep @ SV176 @ SV595 ) )
              | ( SV422 != SV595 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2535]) ).

thf(2766,plain,
    ! [SV176: list_P227219501e_name,SV595: pi_Rep,SV422: pi_Rep] :
      ( ( ( SV422 = SV595 )
        = $false )
      | ( ( ~ ( ( ( perm_name_pi_Rep @ SV176 @ SV422 )
               != ( perm_name_pi_Rep @ SV176 @ SV595 ) )
              | ( SV422 != SV595 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2535]) ).

thf(2767,plain,
    ! [SV596: name,SV423: name,SV177: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV177 @ SV423 )
          = ( perm_name_name @ SV177 @ SV596 ) )
        = $false )
      | ( ( ~ ( ( ( perm_name_name @ SV177 @ SV423 )
               != ( perm_name_name @ SV177 @ SV596 ) )
              | ( SV423 != SV596 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2536]) ).

thf(2768,plain,
    ! [SV177: list_P227219501e_name,SV596: name,SV423: name] :
      ( ( ( SV423 = SV596 )
        = $false )
      | ( ( ~ ( ( ( perm_name_name @ SV177 @ SV423 )
               != ( perm_name_name @ SV177 @ SV596 ) )
              | ( SV423 != SV596 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2536]) ).

thf(2769,plain,
    ! [SV605: late_subject,SV432: late_subject,SV186: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV186 @ ( SV432 = SV605 ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV186 @ ( SV432 = SV605 ) )
              | ( ( perm_n1559866809ubject @ SV186 @ SV432 )
               != ( perm_n1559866809ubject @ SV186 @ SV605 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2537]) ).

thf(2770,plain,
    ! [SV605: late_subject,SV432: late_subject,SV186: list_P227219501e_name] :
      ( ( ( ( perm_n1559866809ubject @ SV186 @ SV432 )
          = ( perm_n1559866809ubject @ SV186 @ SV605 ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV186 @ ( SV432 = SV605 ) )
              | ( ( perm_n1559866809ubject @ SV186 @ SV432 )
               != ( perm_n1559866809ubject @ SV186 @ SV605 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2537]) ).

thf(2771,plain,
    ! [SV606: late_freeRes,SV433: late_freeRes,SV187: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV187 @ ( SV433 = SV606 ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV187 @ ( SV433 = SV606 ) )
              | ( ( perm_n336613537reeRes @ SV187 @ SV433 )
               != ( perm_n336613537reeRes @ SV187 @ SV606 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2538]) ).

thf(2772,plain,
    ! [SV606: late_freeRes,SV433: late_freeRes,SV187: list_P227219501e_name] :
      ( ( ( ( perm_n336613537reeRes @ SV187 @ SV433 )
          = ( perm_n336613537reeRes @ SV187 @ SV606 ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV187 @ ( SV433 = SV606 ) )
              | ( ( perm_n336613537reeRes @ SV187 @ SV433 )
               != ( perm_n336613537reeRes @ SV187 @ SV606 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2538]) ).

thf(2773,plain,
    ! [SV607: pi_Rep,SV434: pi_Rep,SV188: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV188 @ ( SV434 = SV607 ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV188 @ ( SV434 = SV607 ) )
              | ( ( perm_name_pi_Rep @ SV188 @ SV434 )
               != ( perm_name_pi_Rep @ SV188 @ SV607 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2539]) ).

thf(2774,plain,
    ! [SV607: pi_Rep,SV434: pi_Rep,SV188: list_P227219501e_name] :
      ( ( ( ( perm_name_pi_Rep @ SV188 @ SV434 )
          = ( perm_name_pi_Rep @ SV188 @ SV607 ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV188 @ ( SV434 = SV607 ) )
              | ( ( perm_name_pi_Rep @ SV188 @ SV434 )
               != ( perm_name_pi_Rep @ SV188 @ SV607 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2539]) ).

thf(2775,plain,
    ! [SV608: name,SV435: name,SV189: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV189 @ ( SV435 = SV608 ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV189 @ ( SV435 = SV608 ) )
              | ( ( perm_name_name @ SV189 @ SV435 )
               != ( perm_name_name @ SV189 @ SV608 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2540]) ).

thf(2776,plain,
    ! [SV608: name,SV435: name,SV189: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV189 @ SV435 )
          = ( perm_name_name @ SV189 @ SV608 ) )
        = $false )
      | ( ( ~ ( ~ ( perm_name_o @ SV189 @ ( SV435 = SV608 ) )
              | ( ( perm_name_name @ SV189 @ SV435 )
               != ( perm_name_name @ SV189 @ SV608 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2540]) ).

thf(2777,plain,
    ! [SV754: pi,SV680: pi,SV609: name,SV436: name,SV190: pi] :
      ( ( ( late_transitions @ SV190 @ ( late_BoundR @ ( late_BoundOutputS @ SV436 ) @ SV609 @ SV680 ) )
        = $false )
      | ( ( ! [SY2337: name,SY2338: pi] :
              ( ~ ( late_transitions @ SV754 @ ( late_BoundR @ ( late_InputS @ SV436 ) @ SY2337 @ SY2338 ) )
              | ~ ( fresh_name_pi @ SY2337 @ SV190 )
              | ~ ( fresh_name_pi @ SY2337 @ SV754 )
              | ~ ( fresh_name_pi @ SV609 @ SV190 )
              | ~ ( fresh_name_pi @ SV609 @ SV754 )
              | ( SY2337 = SV436 )
              | ~ ( fresh_name_pi @ SY2337 @ SV680 )
              | ( SV609 = SV436 )
              | ~ ( fresh_name_pi @ SV609 @ SY2338 )
              | ( SY2337 = SV609 )
              | ( late_transitions @ ( par @ SV190 @ SV754 ) @ ( late_FreeR @ late_TauR @ ( res @ SV609 @ ( par @ SV680 @ ( subs @ SY2338 @ SY2337 @ SV609 ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2541]) ).

thf(2778,plain,
    ! [SV755: pi,SV681: pi,SV610: name,SV437: name,SV191: pi] :
      ( ( ( late_transitions @ SV191 @ ( late_BoundR @ ( late_InputS @ SV437 ) @ SV610 @ SV681 ) )
        = $false )
      | ( ( ! [SY2339: name,SY2340: pi] :
              ( ~ ( late_transitions @ SV755 @ ( late_BoundR @ ( late_BoundOutputS @ SV437 ) @ SY2339 @ SY2340 ) )
              | ~ ( fresh_name_pi @ SV610 @ SV191 )
              | ~ ( fresh_name_pi @ SV610 @ SV755 )
              | ~ ( fresh_name_pi @ SY2339 @ SV191 )
              | ~ ( fresh_name_pi @ SY2339 @ SV755 )
              | ( SV610 = SV437 )
              | ~ ( fresh_name_pi @ SV610 @ SY2340 )
              | ( SY2339 = SV437 )
              | ~ ( fresh_name_pi @ SY2339 @ SV681 )
              | ( SV610 = SY2339 )
              | ( late_transitions @ ( par @ SV191 @ SV755 ) @ ( late_FreeR @ late_TauR @ ( res @ SY2339 @ ( par @ ( subs @ SV681 @ SV610 @ SY2339 ) @ SY2340 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2542]) ).

thf(2779,plain,
    ! [SV756: pi,SV682: pi,SV611: name,SV438: name,SV192: pi] :
      ( ( ( late_transitions @ SV192 @ ( late_BoundR @ ( late_BoundOutputS @ SV438 ) @ SV611 @ SV682 ) )
        = $false )
      | ( ( ! [SY2341: name,SY2342: pi] :
              ( ~ ( late_transitions @ SV756 @ ( late_BoundR @ ( late_InputS @ SV438 ) @ SY2341 @ SY2342 ) )
              | ~ ( fresh_name_pi @ SV611 @ SV756 )
              | ( late_transitions @ ( par @ SV192 @ SV756 ) @ ( late_FreeR @ late_TauR @ ( res @ SV611 @ ( par @ SV682 @ ( subs @ SY2342 @ SY2341 @ SV611 ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2543]) ).

thf(2780,plain,
    ! [SV757: pi,SV683: pi,SV612: name,SV439: name,SV193: pi] :
      ( ( ( late_transitions @ SV193 @ ( late_BoundR @ ( late_InputS @ SV439 ) @ SV612 @ SV683 ) )
        = $false )
      | ( ( ! [SY2343: name,SY2344: pi] :
              ( ~ ( late_transitions @ SV757 @ ( late_BoundR @ ( late_BoundOutputS @ SV439 ) @ SY2343 @ SY2344 ) )
              | ~ ( fresh_name_pi @ SY2343 @ SV193 )
              | ( late_transitions @ ( par @ SV193 @ SV757 ) @ ( late_FreeR @ late_TauR @ ( res @ SY2343 @ ( par @ ( subs @ SV683 @ SV612 @ SY2343 ) @ SY2344 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2544]) ).

thf(2781,plain,
    ! [SV758: pi,SV684: pi,SV613: name,SV440: name,SV194: pi] :
      ( ( ( late_transitions @ SV194 @ ( late_FreeR @ ( late_OutputR @ SV440 @ SV613 ) @ SV684 ) )
        = $false )
      | ( ( ! [SY2345: name,SY2346: pi] :
              ( ~ ( late_transitions @ SV758 @ ( late_BoundR @ ( late_InputS @ SV440 ) @ SY2345 @ SY2346 ) )
              | ~ ( fresh_name_pi @ SY2345 @ SV194 )
              | ~ ( fresh_name_pi @ SY2345 @ SV758 )
              | ( SY2345 = SV440 )
              | ( SY2345 = SV613 )
              | ~ ( fresh_name_pi @ SY2345 @ SV684 )
              | ( late_transitions @ ( par @ SV194 @ SV758 ) @ ( late_FreeR @ late_TauR @ ( par @ SV684 @ ( subs @ SY2346 @ SY2345 @ SV613 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2545]) ).

thf(2782,plain,
    ! [SV759: pi,SV685: pi,SV614: name,SV441: name,SV195: pi] :
      ( ( ( late_transitions @ SV195 @ ( late_BoundR @ ( late_InputS @ SV441 ) @ SV614 @ SV685 ) )
        = $false )
      | ( ( ! [SY2347: name,SY2348: pi] :
              ( ~ ( late_transitions @ SV759 @ ( late_FreeR @ ( late_OutputR @ SV441 @ SY2347 ) @ SY2348 ) )
              | ~ ( fresh_name_pi @ SV614 @ SV195 )
              | ~ ( fresh_name_pi @ SV614 @ SV759 )
              | ( SV614 = SV441 )
              | ( SV614 = SY2347 )
              | ~ ( fresh_name_pi @ SV614 @ SY2348 )
              | ( late_transitions @ ( par @ SV195 @ SV759 ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ SV685 @ SV614 @ SY2347 ) @ SY2348 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2546]) ).

thf(2783,plain,
    ! [SV760: pi,SV686: pi,SV615: name,SV442: name,SV196: pi] :
      ( ( ( late_transitions @ SV196 @ ( late_FreeR @ ( late_OutputR @ SV442 @ SV615 ) @ SV686 ) )
        = $false )
      | ( ( ! [SY2349: name,SY2350: pi] :
              ( ~ ( late_transitions @ SV760 @ ( late_BoundR @ ( late_InputS @ SV442 ) @ SY2349 @ SY2350 ) )
              | ( late_transitions @ ( par @ SV196 @ SV760 ) @ ( late_FreeR @ late_TauR @ ( par @ SV686 @ ( subs @ SY2350 @ SY2349 @ SV615 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2547]) ).

thf(2784,plain,
    ! [SV761: pi,SV687: pi,SV616: name,SV443: name,SV197: pi] :
      ( ( ( late_transitions @ SV197 @ ( late_BoundR @ ( late_InputS @ SV443 ) @ SV616 @ SV687 ) )
        = $false )
      | ( ( ! [SY2351: name,SY2352: pi] :
              ( ~ ( late_transitions @ SV761 @ ( late_FreeR @ ( late_OutputR @ SV443 @ SY2351 ) @ SY2352 ) )
              | ( late_transitions @ ( par @ SV197 @ SV761 ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ SV687 @ SV616 @ SY2351 ) @ SY2352 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2548]) ).

thf(2785,plain,
    ! [SV447: name,SV203: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV203 @ ( late_InputS @ SV447 ) )
          | ~ ( fresh_name_name @ SV203 @ SV447 ) )
        = $false )
      | ( ( fresh_717452603ubject @ SV203 @ ( late_InputS @ SV447 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2549]) ).

thf(2786,plain,
    ! [SV447: name,SV203: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV203 @ ( late_InputS @ SV447 ) )
          | ~ ( fresh_name_name @ SV203 @ SV447 ) )
        = $false )
      | ( ( fresh_name_name @ SV203 @ SV447 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2550]) ).

thf(2787,plain,
    ! [SV620: name,SV449: name,SV205: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV205 @ SV449 )
          = ( perm_name_name @ SV205 @ SV620 ) )
        = $false )
      | ( ( ~ ( ( ( perm_name_name @ SV205 @ SV449 )
               != ( perm_name_name @ SV205 @ SV620 ) )
              | ( SV449 != SV620 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2551]) ).

thf(2788,plain,
    ! [SV205: list_P227219501e_name,SV620: name,SV449: name] :
      ( ( ( SV449 = SV620 )
        = $false )
      | ( ( ~ ( ( ( perm_name_name @ SV205 @ SV449 )
               != ( perm_name_name @ SV205 @ SV620 ) )
              | ( SV449 != SV620 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2551]) ).

thf(2789,plain,
    ! [SV689: pi,SV450: late_freeRes,SV206: pi,SV788: name] :
      ( ( ( ~ ( fresh_name_pi @ SV788 @ SV206 ) )
        = $true )
      | ( ( fresh_1641682979reeRes @ SV788 @ SV450 )
        = $true )
      | ( ( late_transitions @ SV206 @ ( late_FreeR @ SV450 @ SV689 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2552]) ).

thf(2790,plain,
    ! [SV762: set_Pr1834926343_pi_pi,SV690: name,SV621: late_subject,SV452: pi,SV209: pi] :
      ( ( ( strong2129052853vative @ SV209 @ SV452 @ SV621 @ SV690 @ SV762 )
        = $false )
      | ( ( ~ ( eqvt_pi @ SV762 )
          | ! [SY2353: list_P227219501e_name] : ( strong2129052853vative @ ( perm_name_pi @ SY2353 @ SV209 ) @ ( perm_name_pi @ SY2353 @ SV452 ) @ ( perm_n1559866809ubject @ SY2353 @ SV621 ) @ ( perm_name_name @ SY2353 @ SV690 ) @ SV762 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2554]) ).

thf(2791,plain,
    ! [SV691: name,SV453: name] :
      ( ( ( ( fresh_name_name @ SV453 @ SV691 )
          | ( SV453 != SV691 ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_name_name @ SV453 @ SV691 )
              | ~ ( ( SV453 != SV691 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2555]) ).

thf(2792,plain,
    ! [SV459: name,SV218: name] :
      ( ( ( ( ( late_InputS @ SV218 )
           != ( late_InputS @ SV459 ) )
          | ( SV218 != SV459 ) )
        = $false )
      | ( ( ( late_InputS @ SV218 )
          = ( late_InputS @ SV459 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2556]) ).

thf(2793,plain,
    ! [SV459: name,SV218: name] :
      ( ( ( ( ( late_InputS @ SV218 )
           != ( late_InputS @ SV459 ) )
          | ( SV218 != SV459 ) )
        = $false )
      | ( ( SV218 = SV459 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2557]) ).

thf(2794,plain,
    ! [SV624: pi,SV462: name,SV224: name] :
      ( ( ( fresh_name_pi @ SV224 @ ( res @ SV462 @ SV624 ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_name_pi @ SV224 @ ( res @ SV462 @ SV624 ) )
              | ~ ( fresh_543891186ion_pi @ SV224 @ ( abs_fun_name_pi @ SV462 @ SV624 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2558]) ).

thf(2795,plain,
    ! [SV624: pi,SV462: name,SV224: name] :
      ( ( ( fresh_543891186ion_pi @ SV224 @ ( abs_fun_name_pi @ SV462 @ SV624 ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_name_pi @ SV224 @ ( res @ SV462 @ SV624 ) )
              | ~ ( fresh_543891186ion_pi @ SV224 @ ( abs_fun_name_pi @ SV462 @ SV624 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2558]) ).

thf(2796,plain,
    ! [SV228: pi > late_residual > $o] :
      ( ( ( SV228 @ ( sK33_SY1010 @ SV228 ) @ ( late_FreeR @ ( sK31_FreeRes2 @ SV228 ) @ ( sK32_SY1008 @ SV228 ) ) )
        = $false )
      | ( ( ! [SY1593: pi,SY1594: late_residual] : ( SV228 @ SY1593 @ SY1594 ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK35_SY1011 @ SV228 ) @ ( sK37_SY1016 @ SV228 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2559]) ).

thf(2797,plain,
    ! [SV228: pi > late_residual > $o] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK35_SY1011 @ SV228 ) @ ( sK34_Subject2 @ SV228 ) ) )
        = $false )
      | ( ( ~ ( SV228 @ ( sK33_SY1010 @ SV228 ) @ ( late_FreeR @ ( sK31_FreeRes2 @ SV228 ) @ ( sK32_SY1008 @ SV228 ) ) )
          | ! [SY1593: pi,SY1594: late_residual] : ( SV228 @ SY1593 @ SY1594 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2560]) ).

thf(2798,plain,
    ! [SV228: pi > late_residual > $o] :
      ( ( ( ~ ~ ( SV228 @ ( sK37_SY1016 @ SV228 ) @ ( late_BoundR @ ( sK34_Subject2 @ SV228 ) @ ( sK35_SY1011 @ SV228 ) @ ( sK36_SY1014 @ SV228 ) ) ) )
        = $false )
      | ( ( ~ ( SV228 @ ( sK33_SY1010 @ SV228 ) @ ( late_FreeR @ ( sK31_FreeRes2 @ SV228 ) @ ( sK32_SY1008 @ SV228 ) ) )
          | ! [SY1593: pi,SY1594: late_residual] : ( SV228 @ SY1593 @ SY1594 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2560]) ).

thf(2799,plain,
    ! [SV767: pi,SV695: name,SV625: late_subject,SV465: pi,SV229: pi] :
      ( ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false )
      | ( ( ~ ( ( ( par @ SV229 @ SV465 )
               != ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                     != ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) )
          | ~ ( ( ( par @ SV229 @ SV465 )
               != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                     != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2561]) ).

thf(2800,plain,
    ! [SV768: pi,SV696: name,SV626: late_subject,SV466: pi,SV230: pi] :
      ( ( ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SV626 @ SV696 @ SV768 ) )
        = $false )
      | ( ( ~ ( fresh_name_pi @ SV696 @ SV230 )
          | ~ ( fresh_name_pi @ SV696 @ SV466 )
          | ! [SY2354: pi > $o] :
              ( ~ ( ~ ( late_transitions @ SV230 @ ( late_BoundR @ SV626 @ SV696 @ ( sK95_P4 @ SY2354 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
                  | ~ ~ ( SY2354 @ ( par @ ( sK95_P4 @ SY2354 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) @ SV466 ) ) )
              | ~ ( ~ ( late_transitions @ SV466 @ ( late_BoundR @ SV626 @ SV696 @ ( sK94_Q4 @ SY2354 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
                  | ~ ~ ( SY2354 @ ( par @ SV230 @ ( sK94_Q4 @ SY2354 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) ) )
              | ( SY2354 @ SV768 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2562]) ).

thf(2801,plain,
    ! [SV231: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( SV231 @ ( sK19_SY992 @ SV231 ) @ ( late_FreeR @ ( sK17_FreeRes2 @ SV231 ) @ ( sK18_SY990 @ SV231 ) ) )
        = $false )
      | ( ( ! [SY1604: produc1141751126_pi_pi,SY1605: late_residual] : ( SV231 @ SY1604 @ SY1605 ) )
        = $true )
      | ( ( fresh_1376661020_pi_pi @ ( sK21_SY993 @ SV231 ) @ ( sK23_SY998 @ SV231 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2563]) ).

thf(2802,plain,
    ! [SV231: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK21_SY993 @ SV231 ) @ ( sK20_Subject2 @ SV231 ) ) )
        = $false )
      | ( ( ~ ( SV231 @ ( sK19_SY992 @ SV231 ) @ ( late_FreeR @ ( sK17_FreeRes2 @ SV231 ) @ ( sK18_SY990 @ SV231 ) ) )
          | ! [SY1604: produc1141751126_pi_pi,SY1605: late_residual] : ( SV231 @ SY1604 @ SY1605 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2564]) ).

thf(2803,plain,
    ! [SV231: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( ~ ~ ( SV231 @ ( sK23_SY998 @ SV231 ) @ ( late_BoundR @ ( sK20_Subject2 @ SV231 ) @ ( sK21_SY993 @ SV231 ) @ ( sK22_SY996 @ SV231 ) ) ) )
        = $false )
      | ( ( ~ ( SV231 @ ( sK19_SY992 @ SV231 ) @ ( late_FreeR @ ( sK17_FreeRes2 @ SV231 ) @ ( sK18_SY990 @ SV231 ) ) )
          | ! [SY1604: produc1141751126_pi_pi,SY1605: late_residual] : ( SV231 @ SY1604 @ SY1605 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2564]) ).

thf(2804,plain,
    ! [SV769: pi,SV697: name,SV627: late_subject,SV467: pi,SV232: name] :
      ( ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV232 @ SV467 )
               != ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                     != ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                          | ~ ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                               != ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) )
          | ~ ( ( ( res @ SV232 @ SV467 )
               != ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                     != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                           != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2565]) ).

thf(2805,plain,
    ! [SV468: list_P227219501e_name,SV233: $o] :
      ( ( SV233 = $false )
      | ( ( ! [SY2020: late_freeRes,SY2021: late_freeRes] :
              ( ( perm_n336613537reeRes @ SV468 @ ( if_Late_freeRes @ SV233 @ SY2020 @ SY2021 ) )
              = ( perm_n336613537reeRes @ SV468 @ SY2020 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2566]) ).

thf(2806,plain,
    ! [SV800: late_freeRes,SV233: $o,SV468: list_P227219501e_name] :
      ( ( ( ! [SY2365: late_freeRes] :
              ( ( perm_n336613537reeRes @ SV468 @ ( if_Late_freeRes @ SV233 @ SV800 @ SY2365 ) )
              = ( perm_n336613537reeRes @ SV468 @ SY2365 ) ) )
        = $true )
      | ( SV233 = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2567]) ).

thf(2807,plain,
    ! [SV469: list_P227219501e_name] :
      ( ( $true = $false )
      | ( ( ! [SY2024: late_freeRes,SY2025: late_freeRes] :
              ( ( perm_n336613537reeRes @ SV469 @ ( if_Late_freeRes @ $true @ SY2024 @ SY2025 ) )
              = ( perm_n336613537reeRes @ SV469 @ SY2024 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2568]) ).

thf(2808,plain,
    ! [SV801: late_freeRes,SV469: list_P227219501e_name] :
      ( ( ( ! [SY2366: late_freeRes] :
              ( ( perm_n336613537reeRes @ SV469 @ ( if_Late_freeRes @ $true @ SV801 @ SY2366 ) )
              = ( perm_n336613537reeRes @ SV469 @ SY2366 ) ) )
        = $true )
      | ( $true = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2569]) ).

thf(2809,plain,
    ! [SV470: list_P227219501e_name] :
      ( ( $false = $false )
      | ( ( ! [SY2028: late_freeRes,SY2029: late_freeRes] :
              ( ( perm_n336613537reeRes @ SV470 @ ( if_Late_freeRes @ $false @ SY2028 @ SY2029 ) )
              = ( perm_n336613537reeRes @ SV470 @ SY2028 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2570]) ).

thf(2810,plain,
    ! [SV802: late_freeRes,SV470: list_P227219501e_name] :
      ( ( ( ! [SY2367: late_freeRes] :
              ( ( perm_n336613537reeRes @ SV470 @ ( if_Late_freeRes @ $false @ SV802 @ SY2367 ) )
              = ( perm_n336613537reeRes @ SV470 @ SY2367 ) ) )
        = $true )
      | ( $false = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2571]) ).

thf(2811,plain,
    ! [SV628: pi,SV471: late_freeRes,SV234: name] :
      ( ( ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SV628 ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SV628 ) )
              | ~ ~ ( ~ ( fresh_1641682979reeRes @ SV234 @ SV471 )
                    | ~ ( fresh_name_pi @ SV234 @ SV628 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2572]) ).

thf(2812,plain,
    ! [SV628: pi,SV471: late_freeRes,SV234: name] :
      ( ( ( ~ ( ~ ( fresh_1641682979reeRes @ SV234 @ SV471 )
              | ~ ( fresh_name_pi @ SV234 @ SV628 ) ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SV628 ) )
              | ~ ~ ( ~ ( fresh_1641682979reeRes @ SV234 @ SV471 )
                    | ~ ( fresh_name_pi @ SV234 @ SV628 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2572]) ).

thf(2813,plain,
    ! [SV472: list_P227219501e_name,SV235: $o] :
      ( ( SV235 = $false )
      | ( ( ! [SY2033: pi,SY2034: pi] :
              ( ( perm_name_pi @ SV472 @ ( if_pi @ SV235 @ SY2033 @ SY2034 ) )
              = ( perm_name_pi @ SV472 @ SY2033 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2573]) ).

thf(2814,plain,
    ! [SV803: pi,SV235: $o,SV472: list_P227219501e_name] :
      ( ( ( ! [SY2368: pi] :
              ( ( perm_name_pi @ SV472 @ ( if_pi @ SV235 @ SV803 @ SY2368 ) )
              = ( perm_name_pi @ SV472 @ SY2368 ) ) )
        = $true )
      | ( SV235 = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2574]) ).

thf(2815,plain,
    ! [SV473: list_P227219501e_name] :
      ( ( $true = $false )
      | ( ( ! [SY2037: pi,SY2038: pi] :
              ( ( perm_name_pi @ SV473 @ ( if_pi @ $true @ SY2037 @ SY2038 ) )
              = ( perm_name_pi @ SV473 @ SY2037 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2575]) ).

thf(2816,plain,
    ! [SV804: pi,SV473: list_P227219501e_name] :
      ( ( ( ! [SY2369: pi] :
              ( ( perm_name_pi @ SV473 @ ( if_pi @ $true @ SV804 @ SY2369 ) )
              = ( perm_name_pi @ SV473 @ SY2369 ) ) )
        = $true )
      | ( $true = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2576]) ).

thf(2817,plain,
    ! [SV474: list_P227219501e_name] :
      ( ( $false = $false )
      | ( ( ! [SY2041: pi,SY2042: pi] :
              ( ( perm_name_pi @ SV474 @ ( if_pi @ $false @ SY2041 @ SY2042 ) )
              = ( perm_name_pi @ SV474 @ SY2041 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2577]) ).

thf(2818,plain,
    ! [SV805: pi,SV474: list_P227219501e_name] :
      ( ( ( ! [SY2370: pi] :
              ( ( perm_name_pi @ SV474 @ ( if_pi @ $false @ SV805 @ SY2370 ) )
              = ( perm_name_pi @ SV474 @ SY2370 ) ) )
        = $true )
      | ( $false = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2578]) ).

thf(2819,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
                           != ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                           != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
          | ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2579]) ).

thf(2820,plain,
    ! [SV476: $o,SV237: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV237 @ SV476 )
        = $false )
      | ( ( ! [SY2046: late_freeRes,SY2047: late_freeRes] :
              ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ SV476 @ SY2046 @ SY2047 ) )
              = ( perm_n336613537reeRes @ SV237 @ SY2046 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2580]) ).

thf(2821,plain,
    ! [SV806: late_freeRes,SV476: $o,SV237: list_P227219501e_name] :
      ( ( ( ! [SY2371: late_freeRes] :
              ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ SV476 @ SV806 @ SY2371 ) )
              = ( perm_n336613537reeRes @ SV237 @ SY2371 ) ) )
        = $true )
      | ( ( perm_name_o @ SV237 @ SV476 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2581]) ).

thf(2822,plain,
    ! [SV237: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV237 @ $true )
        = $false )
      | ( ( ! [SX0: late_freeRes,SX1: late_freeRes] :
              ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ $true @ SX0 @ SX1 ) )
              = ( perm_n336613537reeRes @ SV237 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2582]) ).

thf(2823,plain,
    ! [SV807: late_freeRes,SV237: list_P227219501e_name] :
      ( ( ( ! [SY2372: late_freeRes] :
              ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ $true @ SV807 @ SY2372 ) )
              = ( perm_n336613537reeRes @ SV237 @ SY2372 ) ) )
        = $true )
      | ( ( perm_name_o @ SV237 @ $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2583]) ).

thf(2824,plain,
    ! [SV237: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV237 @ $false )
        = $false )
      | ( ( ! [SX0: late_freeRes,SX1: late_freeRes] :
              ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ $false @ SX0 @ SX1 ) )
              = ( perm_n336613537reeRes @ SV237 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2584]) ).

thf(2825,plain,
    ! [SV808: late_freeRes,SV237: list_P227219501e_name] :
      ( ( ( ! [SY2373: late_freeRes] :
              ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ $false @ SV808 @ SY2373 ) )
              = ( perm_n336613537reeRes @ SV237 @ SY2373 ) ) )
        = $true )
      | ( ( perm_name_o @ SV237 @ $false )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2585]) ).

thf(2826,plain,
    ! [SV630: name,SV477: name,SV238: name] :
      ( ( ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SV630 ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SV630 ) )
              | ~ ~ ( ~ ( fresh_name_name @ SV238 @ SV477 )
                    | ~ ( fresh_name_name @ SV238 @ SV630 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2586]) ).

thf(2827,plain,
    ! [SV630: name,SV477: name,SV238: name] :
      ( ( ( ~ ( ~ ( fresh_name_name @ SV238 @ SV477 )
              | ~ ( fresh_name_name @ SV238 @ SV630 ) ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SV630 ) )
              | ~ ~ ( ~ ( fresh_name_name @ SV238 @ SV477 )
                    | ~ ( fresh_name_name @ SV238 @ SV630 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2586]) ).

thf(2828,plain,
    ! [SV478: $o,SV239: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV239 @ SV478 )
        = $false )
      | ( ( ! [SY2051: pi_Rep,SY2052: pi_Rep] :
              ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ SV478 @ SY2051 @ SY2052 ) )
              = ( perm_name_pi_Rep @ SV239 @ SY2051 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2587]) ).

thf(2829,plain,
    ! [SV809: pi_Rep,SV478: $o,SV239: list_P227219501e_name] :
      ( ( ( ! [SY2374: pi_Rep] :
              ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ SV478 @ SV809 @ SY2374 ) )
              = ( perm_name_pi_Rep @ SV239 @ SY2374 ) ) )
        = $true )
      | ( ( perm_name_o @ SV239 @ SV478 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2588]) ).

thf(2830,plain,
    ! [SV239: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV239 @ $true )
        = $false )
      | ( ( ! [SX0: pi_Rep,SX1: pi_Rep] :
              ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ $true @ SX0 @ SX1 ) )
              = ( perm_name_pi_Rep @ SV239 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2589]) ).

thf(2831,plain,
    ! [SV810: pi_Rep,SV239: list_P227219501e_name] :
      ( ( ( ! [SY2375: pi_Rep] :
              ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ $true @ SV810 @ SY2375 ) )
              = ( perm_name_pi_Rep @ SV239 @ SY2375 ) ) )
        = $true )
      | ( ( perm_name_o @ SV239 @ $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2590]) ).

thf(2832,plain,
    ! [SV239: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV239 @ $false )
        = $false )
      | ( ( ! [SX0: pi_Rep,SX1: pi_Rep] :
              ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ $false @ SX0 @ SX1 ) )
              = ( perm_name_pi_Rep @ SV239 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2591]) ).

thf(2833,plain,
    ! [SV811: pi_Rep,SV239: list_P227219501e_name] :
      ( ( ( ! [SY2376: pi_Rep] :
              ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ $false @ SV811 @ SY2376 ) )
              = ( perm_name_pi_Rep @ SV239 @ SY2376 ) ) )
        = $true )
      | ( ( perm_name_o @ SV239 @ $false )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2592]) ).

thf(2834,plain,
    ! [SV698: list_P227219501e_name,SV631: produc367475239e_name,SV479: list_P227219501e_name,SV240: produc367475239e_name] :
      ( ( ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
            = ( cons_P1213805021e_name @ SV631 @ SV698 ) )
          | ~ ( ( SV240 != SV631 )
              | ( SV479 != SV698 ) ) )
        = $false )
      | ( ( ~ ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
               != ( cons_P1213805021e_name @ SV631 @ SV698 ) )
              | ~ ~ ( ( SV240 != SV631 )
                    | ( SV479 != SV698 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2593]) ).

thf(2835,plain,
    ! [SV241: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( SV241 @ ( sK47_SY1028 @ SV241 ) @ ( late_FreeR @ ( sK45_FreeRes2 @ SV241 ) @ ( sK46_SY1026 @ SV241 ) ) )
        = $false )
      | ( ( ! [SY1639: produc1141751126_pi_pi,SY1640: late_residual] : ( SV241 @ SY1639 @ SY1640 ) )
        = $true )
      | ( ( fresh_1376661020_pi_pi @ ( sK49_SY1029 @ SV241 ) @ ( sK51_SY1034 @ SV241 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2594]) ).

thf(2836,plain,
    ! [SV241: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK49_SY1029 @ SV241 ) @ ( sK48_Subject2 @ SV241 ) ) )
        = $false )
      | ( ( ~ ( SV241 @ ( sK47_SY1028 @ SV241 ) @ ( late_FreeR @ ( sK45_FreeRes2 @ SV241 ) @ ( sK46_SY1026 @ SV241 ) ) )
          | ! [SY1639: produc1141751126_pi_pi,SY1640: late_residual] : ( SV241 @ SY1639 @ SY1640 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2595]) ).

thf(2837,plain,
    ! [SV241: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( ~ ~ ( SV241 @ ( sK51_SY1034 @ SV241 ) @ ( late_BoundR @ ( sK48_Subject2 @ SV241 ) @ ( sK49_SY1029 @ SV241 ) @ ( sK50_SY1032 @ SV241 ) ) ) )
        = $false )
      | ( ( ~ ( SV241 @ ( sK47_SY1028 @ SV241 ) @ ( late_FreeR @ ( sK45_FreeRes2 @ SV241 ) @ ( sK46_SY1026 @ SV241 ) ) )
          | ! [SY1639: produc1141751126_pi_pi,SY1640: late_residual] : ( SV241 @ SY1639 @ SY1640 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2595]) ).

thf(2838,plain,
    ! [SV632: pi,SV480: pi,SV242: name] :
      ( ( ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SV632 ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SV632 ) )
              | ~ ~ ( ~ ( fresh_name_pi @ SV242 @ SV480 )
                    | ~ ( fresh_name_pi @ SV242 @ SV632 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2596]) ).

thf(2839,plain,
    ! [SV632: pi,SV480: pi,SV242: name] :
      ( ( ( ~ ( ~ ( fresh_name_pi @ SV242 @ SV480 )
              | ~ ( fresh_name_pi @ SV242 @ SV632 ) ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SV632 ) )
              | ~ ~ ( ~ ( fresh_name_pi @ SV242 @ SV480 )
                    | ~ ( fresh_name_pi @ SV242 @ SV632 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2596]) ).

thf(2840,plain,
    ! [SV699: name,SV633: name,SV481: name,SV243: name] :
      ( ( ( ( ( late_OutputR @ SV243 @ SV481 )
            = ( late_OutputR @ SV633 @ SV699 ) )
          | ~ ( ( SV243 != SV633 )
              | ( SV481 != SV699 ) ) )
        = $false )
      | ( ( ~ ( ( ( late_OutputR @ SV243 @ SV481 )
               != ( late_OutputR @ SV633 @ SV699 ) )
              | ~ ~ ( ( SV243 != SV633 )
                    | ( SV481 != SV699 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2597]) ).

thf(2841,plain,
    ! [SV244: product_unit > late_residual > $o] :
      ( ( ( SV244 @ ( sK54_SY1037 @ SV244 ) @ ( late_FreeR @ ( sK52_FreeRes2 @ SV244 ) @ ( sK53_SY1035 @ SV244 ) ) )
        = $false )
      | ( ( ! [SY1646: product_unit,SY1647: late_residual] : ( SV244 @ SY1646 @ SY1647 ) )
        = $true )
      | ( ( fresh_1143631827t_unit @ ( sK56_SY1038 @ SV244 ) @ ( sK58_SY1043 @ SV244 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2598]) ).

thf(2842,plain,
    ! [SV244: product_unit > late_residual > $o] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK56_SY1038 @ SV244 ) @ ( sK55_Subject2 @ SV244 ) ) )
        = $false )
      | ( ( ~ ( SV244 @ ( sK54_SY1037 @ SV244 ) @ ( late_FreeR @ ( sK52_FreeRes2 @ SV244 ) @ ( sK53_SY1035 @ SV244 ) ) )
          | ! [SY1646: product_unit,SY1647: late_residual] : ( SV244 @ SY1646 @ SY1647 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2599]) ).

thf(2843,plain,
    ! [SV244: product_unit > late_residual > $o] :
      ( ( ( ~ ~ ( SV244 @ ( sK58_SY1043 @ SV244 ) @ ( late_BoundR @ ( sK55_Subject2 @ SV244 ) @ ( sK56_SY1038 @ SV244 ) @ ( sK57_SY1041 @ SV244 ) ) ) )
        = $false )
      | ( ( ~ ( SV244 @ ( sK54_SY1037 @ SV244 ) @ ( late_FreeR @ ( sK52_FreeRes2 @ SV244 ) @ ( sK53_SY1035 @ SV244 ) ) )
          | ! [SY1646: product_unit,SY1647: late_residual] : ( SV244 @ SY1646 @ SY1647 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2599]) ).

thf(2844,plain,
    ! [SV245: name > late_residual > $o] :
      ( ( ( SV245 @ ( sK12_SY983 @ SV245 ) @ ( late_FreeR @ ( sK10_FreeRes2 @ SV245 ) @ ( sK11_SY981 @ SV245 ) ) )
        = $false )
      | ( ( ! [SY1648: name,SY1649: late_residual] : ( SV245 @ SY1648 @ SY1649 ) )
        = $true )
      | ( ( fresh_name_name @ ( sK14_SY984 @ SV245 ) @ ( sK16_SY989 @ SV245 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2600]) ).

thf(2845,plain,
    ! [SV245: name > late_residual > $o] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK14_SY984 @ SV245 ) @ ( sK13_Subject2 @ SV245 ) ) )
        = $false )
      | ( ( ~ ( SV245 @ ( sK12_SY983 @ SV245 ) @ ( late_FreeR @ ( sK10_FreeRes2 @ SV245 ) @ ( sK11_SY981 @ SV245 ) ) )
          | ! [SY1648: name,SY1649: late_residual] : ( SV245 @ SY1648 @ SY1649 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2601]) ).

thf(2846,plain,
    ! [SV245: name > late_residual > $o] :
      ( ( ( ~ ~ ( SV245 @ ( sK16_SY989 @ SV245 ) @ ( late_BoundR @ ( sK13_Subject2 @ SV245 ) @ ( sK14_SY984 @ SV245 ) @ ( sK15_SY987 @ SV245 ) ) ) )
        = $false )
      | ( ( ~ ( SV245 @ ( sK12_SY983 @ SV245 ) @ ( late_FreeR @ ( sK10_FreeRes2 @ SV245 ) @ ( sK11_SY981 @ SV245 ) ) )
          | ! [SY1648: name,SY1649: late_residual] : ( SV245 @ SY1648 @ SY1649 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2601]) ).

thf(2847,plain,
    ! [SV634: list_pi,SV482: pi,SV246: name] :
      ( ( ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SV634 ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SV634 ) )
              | ~ ~ ( ~ ( fresh_name_list_pi @ SV246 @ SV634 )
                    | ~ ( fresh_name_pi @ SV246 @ SV482 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2602]) ).

thf(2848,plain,
    ! [SV482: pi,SV634: list_pi,SV246: name] :
      ( ( ( ~ ( ~ ( fresh_name_list_pi @ SV246 @ SV634 )
              | ~ ( fresh_name_pi @ SV246 @ SV482 ) ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SV634 ) )
              | ~ ~ ( ~ ( fresh_name_list_pi @ SV246 @ SV634 )
                    | ~ ( fresh_name_pi @ SV246 @ SV482 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2602]) ).

thf(2849,plain,
    ! [SV483: list_P227219501e_name,SV247: $o] :
      ( ( SV247 = $false )
      | ( ( ! [SY2061: name,SY2062: name] :
              ( ( perm_name_name @ SV483 @ ( if_name @ SV247 @ SY2061 @ SY2062 ) )
              = ( perm_name_name @ SV483 @ SY2061 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2603]) ).

thf(2850,plain,
    ! [SV812: name,SV247: $o,SV483: list_P227219501e_name] :
      ( ( ( ! [SY2377: name] :
              ( ( perm_name_name @ SV483 @ ( if_name @ SV247 @ SV812 @ SY2377 ) )
              = ( perm_name_name @ SV483 @ SY2377 ) ) )
        = $true )
      | ( SV247 = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2604]) ).

thf(2851,plain,
    ! [SV484: list_P227219501e_name] :
      ( ( $true = $false )
      | ( ( ! [SY2065: name,SY2066: name] :
              ( ( perm_name_name @ SV484 @ ( if_name @ $true @ SY2065 @ SY2066 ) )
              = ( perm_name_name @ SV484 @ SY2065 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2605]) ).

thf(2852,plain,
    ! [SV813: name,SV484: list_P227219501e_name] :
      ( ( ( ! [SY2378: name] :
              ( ( perm_name_name @ SV484 @ ( if_name @ $true @ SV813 @ SY2378 ) )
              = ( perm_name_name @ SV484 @ SY2378 ) ) )
        = $true )
      | ( $true = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2606]) ).

thf(2853,plain,
    ! [SV485: list_P227219501e_name] :
      ( ( $false = $false )
      | ( ( ! [SY2069: name,SY2070: name] :
              ( ( perm_name_name @ SV485 @ ( if_name @ $false @ SY2069 @ SY2070 ) )
              = ( perm_name_name @ SV485 @ SY2069 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2607]) ).

thf(2854,plain,
    ! [SV814: name,SV485: list_P227219501e_name] :
      ( ( ( ! [SY2379: name] :
              ( ( perm_name_name @ SV485 @ ( if_name @ $false @ SV814 @ SY2379 ) )
              = ( perm_name_name @ SV485 @ SY2379 ) ) )
        = $true )
      | ( $false = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2608]) ).

thf(2855,plain,
    ! [SV486: $o,SV248: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV248 @ SV486 )
        = $false )
      | ( ( ! [SY2073: late_subject,SY2074: late_subject] :
              ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ SV486 @ SY2073 @ SY2074 ) )
              = ( perm_n1559866809ubject @ SV248 @ SY2073 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2609]) ).

thf(2856,plain,
    ! [SV815: late_subject,SV486: $o,SV248: list_P227219501e_name] :
      ( ( ( ! [SY2380: late_subject] :
              ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ SV486 @ SV815 @ SY2380 ) )
              = ( perm_n1559866809ubject @ SV248 @ SY2380 ) ) )
        = $true )
      | ( ( perm_name_o @ SV248 @ SV486 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2610]) ).

thf(2857,plain,
    ! [SV248: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV248 @ $true )
        = $false )
      | ( ( ! [SX0: late_subject,SX1: late_subject] :
              ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ $true @ SX0 @ SX1 ) )
              = ( perm_n1559866809ubject @ SV248 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2611]) ).

thf(2858,plain,
    ! [SV816: late_subject,SV248: list_P227219501e_name] :
      ( ( ( ! [SY2381: late_subject] :
              ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ $true @ SV816 @ SY2381 ) )
              = ( perm_n1559866809ubject @ SV248 @ SY2381 ) ) )
        = $true )
      | ( ( perm_name_o @ SV248 @ $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2612]) ).

thf(2859,plain,
    ! [SV248: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV248 @ $false )
        = $false )
      | ( ( ! [SX0: late_subject,SX1: late_subject] :
              ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ $false @ SX0 @ SX1 ) )
              = ( perm_n1559866809ubject @ SV248 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2613]) ).

thf(2860,plain,
    ! [SV817: late_subject,SV248: list_P227219501e_name] :
      ( ( ( ! [SY2382: late_subject] :
              ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ $false @ SV817 @ SY2382 ) )
              = ( perm_n1559866809ubject @ SV248 @ SY2382 ) ) )
        = $true )
      | ( ( perm_name_o @ SV248 @ $false )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2614]) ).

thf(2861,plain,
    ! [SV487: $o,SV249: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV249 @ SV487 )
        = $false )
      | ( ( ! [SY2077: pi,SY2078: pi] :
              ( ( perm_name_pi @ SV249 @ ( if_pi @ SV487 @ SY2077 @ SY2078 ) )
              = ( perm_name_pi @ SV249 @ SY2077 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2615]) ).

thf(2862,plain,
    ! [SV818: pi,SV487: $o,SV249: list_P227219501e_name] :
      ( ( ( ! [SY2383: pi] :
              ( ( perm_name_pi @ SV249 @ ( if_pi @ SV487 @ SV818 @ SY2383 ) )
              = ( perm_name_pi @ SV249 @ SY2383 ) ) )
        = $true )
      | ( ( perm_name_o @ SV249 @ SV487 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2616]) ).

thf(2863,plain,
    ! [SV249: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV249 @ $true )
        = $false )
      | ( ( ! [SX0: pi,SX1: pi] :
              ( ( perm_name_pi @ SV249 @ ( if_pi @ $true @ SX0 @ SX1 ) )
              = ( perm_name_pi @ SV249 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2617]) ).

thf(2864,plain,
    ! [SV819: pi,SV249: list_P227219501e_name] :
      ( ( ( ! [SY2384: pi] :
              ( ( perm_name_pi @ SV249 @ ( if_pi @ $true @ SV819 @ SY2384 ) )
              = ( perm_name_pi @ SV249 @ SY2384 ) ) )
        = $true )
      | ( ( perm_name_o @ SV249 @ $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2618]) ).

thf(2865,plain,
    ! [SV249: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV249 @ $false )
        = $false )
      | ( ( ! [SX0: pi,SX1: pi] :
              ( ( perm_name_pi @ SV249 @ ( if_pi @ $false @ SX0 @ SX1 ) )
              = ( perm_name_pi @ SV249 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2619]) ).

thf(2866,plain,
    ! [SV820: pi,SV249: list_P227219501e_name] :
      ( ( ( ! [SY2385: pi] :
              ( ( perm_name_pi @ SV249 @ ( if_pi @ $false @ SV820 @ SY2385 ) )
              = ( perm_name_pi @ SV249 @ SY2385 ) ) )
        = $true )
      | ( ( perm_name_o @ SV249 @ $false )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2620]) ).

thf(2867,plain,
    ! [SV770: name,SV700: late_subject,SV635: pi,SV488: name,SV250: name] :
      ( ( ~ ! [SY2355: pi] :
              ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SY2355 ) )
              | ( SV770 = SV250 )
              | ( SV770 = SV488 )
              | ~ ( fresh_name_pi @ SV770 @ SV635 )
              | ( SV700
                = ( late_InputS @ SV250 ) )
              | ! [SY2356: late_subject > name > pi > $o] : ( SY2356 @ SV700 @ SV770 @ SY2355 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2621]) ).

thf(2868,plain,
    ! [SV770: name,SV700: late_subject,SV635: pi,SV488: name,SV250: name] :
      ( ( ~ ~ ( ~ ! [SY2357: pi] :
                    ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SY2357 ) )
                    | ( SV770 = SV250 )
                    | ( SV770 = SV488 )
                    | ~ ( fresh_name_pi @ SV770 @ SV635 )
                    | ( SY2357
                      = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
                    | ! [SY2358: late_subject > name > pi > $o] : ( SY2358 @ SV700 @ SV770 @ SY2357 ) )
              | ~ ! [SY2359: pi] :
                    ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SY2359 ) )
                    | ( SV770 = SV250 )
                    | ( SV770 = SV488 )
                    | ~ ( fresh_name_pi @ SV770 @ SV635 )
                    | ! [SY2360: late_subject > name > pi > $o] :
                        ( ~ ( SY2360 @ ( late_InputS @ SV250 ) @ SV770 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
                        | ( SY2360 @ SV700 @ SV770 @ SY2359 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2621]) ).

thf(2869,plain,
    ! [SV636: name,SV489: name,SV251: name] :
      ( ( ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SV636 ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SV636 ) )
              | ~ ~ ( ~ ( fresh_name_name @ SV251 @ SV489 )
                    | ~ ( fresh_name_name @ SV251 @ SV636 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2622]) ).

thf(2870,plain,
    ! [SV636: name,SV489: name,SV251: name] :
      ( ( ( ~ ( ~ ( fresh_name_name @ SV251 @ SV489 )
              | ~ ( fresh_name_name @ SV251 @ SV636 ) ) )
        = $false )
      | ( ( ~ ( ~ ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SV636 ) )
              | ~ ~ ( ~ ( fresh_name_name @ SV251 @ SV489 )
                    | ~ ( fresh_name_name @ SV251 @ SV636 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2622]) ).

thf(2871,plain,
    ! [SV252: name,SV701: pi,SV821: pi > $o,SV637: late_freeRes,SV490: pi] :
      ( ( ( ~ ( ~ ( late_transitions @ SV490 @ ( late_FreeR @ SV637 @ ( sK117_P4 @ SV821 @ SV701 @ SV637 @ SV490 @ SV252 ) ) )
              | ~ ~ ( ~ ( fresh_1641682979reeRes @ SV252 @ SV637 )
                    | ~ ~ ( SV821 @ ( res @ SV252 @ ( sK117_P4 @ SV821 @ SV701 @ SV637 @ SV490 @ SV252 ) ) ) ) )
          | ( SV821 @ SV701 ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV252 @ SV490 ) @ ( late_FreeR @ SV637 @ SV701 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2623]) ).

thf(2872,plain,
    ! [SV771: pi,SV702: name,SV638: late_subject,SV491: pi,SV253: name] :
      ( ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false )
      | ( ( ( SV702 = SV253 )
          | ~ ( fresh_name_pi @ SV702 @ SV491 )
          | ! [SY2361: late_subject > pi > $o] :
              ( ~ ( ~ ( late_transitions @ SV491 @ ( late_FreeR @ ( late_OutputR @ ( sK60_B2 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) @ SV253 ) @ ( sK61_SY1044 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
                  | ~ ~ ( ~ ( ( ( sK60_B2 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 )
                             != SV253 ) )
                        | ~ ~ ( ( SV638
                               != ( late_BoundOutputS @ ( sK60_B2 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
                              | ~ ~ ( SY2361 @ ( late_BoundOutputS @ ( sK60_B2 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV702 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) ) )
              | ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
                  | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                        | ~ ~ ( SY2361 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
              | ( SY2361 @ SV638 @ SV771 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2624]) ).

thf(2873,plain,
    ! [SV492: list_P227219501e_name,SV254: $o] :
      ( ( SV254 = $false )
      | ( ( ! [SY2098: late_subject,SY2099: late_subject] :
              ( ( perm_n1559866809ubject @ SV492 @ ( if_Late_subject @ SV254 @ SY2098 @ SY2099 ) )
              = ( perm_n1559866809ubject @ SV492 @ SY2098 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2625]) ).

thf(2874,plain,
    ! [SV822: late_subject,SV254: $o,SV492: list_P227219501e_name] :
      ( ( ( ! [SY2386: late_subject] :
              ( ( perm_n1559866809ubject @ SV492 @ ( if_Late_subject @ SV254 @ SV822 @ SY2386 ) )
              = ( perm_n1559866809ubject @ SV492 @ SY2386 ) ) )
        = $true )
      | ( SV254 = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2626]) ).

thf(2875,plain,
    ! [SV493: list_P227219501e_name] :
      ( ( $true = $false )
      | ( ( ! [SY2102: late_subject,SY2103: late_subject] :
              ( ( perm_n1559866809ubject @ SV493 @ ( if_Late_subject @ $true @ SY2102 @ SY2103 ) )
              = ( perm_n1559866809ubject @ SV493 @ SY2102 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2627]) ).

thf(2876,plain,
    ! [SV823: late_subject,SV493: list_P227219501e_name] :
      ( ( ( ! [SY2387: late_subject] :
              ( ( perm_n1559866809ubject @ SV493 @ ( if_Late_subject @ $true @ SV823 @ SY2387 ) )
              = ( perm_n1559866809ubject @ SV493 @ SY2387 ) ) )
        = $true )
      | ( $true = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2628]) ).

thf(2877,plain,
    ! [SV494: list_P227219501e_name] :
      ( ( $false = $false )
      | ( ( ! [SY2106: late_subject,SY2107: late_subject] :
              ( ( perm_n1559866809ubject @ SV494 @ ( if_Late_subject @ $false @ SY2106 @ SY2107 ) )
              = ( perm_n1559866809ubject @ SV494 @ SY2106 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2629]) ).

thf(2878,plain,
    ! [SV824: late_subject,SV494: list_P227219501e_name] :
      ( ( ( ! [SY2388: late_subject] :
              ( ( perm_n1559866809ubject @ SV494 @ ( if_Late_subject @ $false @ SV824 @ SY2388 ) )
              = ( perm_n1559866809ubject @ SV494 @ SY2388 ) ) )
        = $true )
      | ( $false = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2630]) ).

thf(2879,plain,
    ! [SV703: pi,SV639: pi,SV495: pi,SV255: pi] :
      ( ( ( ( ( par @ SV255 @ SV495 )
            = ( par @ SV639 @ SV703 ) )
          | ~ ( ( SV255 != SV639 )
              | ( SV495 != SV703 ) ) )
        = $false )
      | ( ( ~ ( ( ( par @ SV255 @ SV495 )
               != ( par @ SV639 @ SV703 ) )
              | ~ ~ ( ( SV255 != SV639 )
                    | ( SV495 != SV703 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2631]) ).

thf(2880,plain,
    ! [SV496: set_Pr1834926343_pi_pi,SV256: pi,SV825: name,SV704: late_subject,SV640: pi] :
      ( ( ( ! [SY2389: pi] :
              ( ~ ( late_transitions @ SV640 @ ( late_BoundR @ SV704 @ SV825 @ SY2389 ) )
              | ~ ( fresh_name_pi @ SV825 @ SV256 )
              | ~ ( ~ ( late_transitions @ SV256 @ ( late_BoundR @ SV704 @ SV825 @ ( sK92_P4 @ SY2389 @ SV825 @ SV704 @ SV640 @ SV496 @ SV256 ) ) )
                  | ~ ( strong2129052853vative @ ( sK92_P4 @ SY2389 @ SV825 @ SV704 @ SV640 @ SV496 @ SV256 ) @ SY2389 @ SV704 @ SV825 @ SV496 ) ) ) )
        = $true )
      | ( ( strong743114133lation @ SV256 @ SV496 @ SV640 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2632]) ).

thf(2881,plain,
    ! [SV705: pi,SV641: late_freeRes,SV497: pi,SV257: late_freeRes] :
      ( ( ( ( ( late_FreeR @ SV257 @ SV497 )
            = ( late_FreeR @ SV641 @ SV705 ) )
          | ~ ( ( SV257 != SV641 )
              | ( SV497 != SV705 ) ) )
        = $false )
      | ( ( ~ ( ( ( late_FreeR @ SV257 @ SV497 )
               != ( late_FreeR @ SV641 @ SV705 ) )
              | ~ ~ ( ( SV257 != SV641 )
                    | ( SV497 != SV705 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2633]) ).

thf(2882,plain,
    ! [SV642: late_freeRes,SV706: pi,SV498: pi,SV258: name] :
      ( ( ( ( ( res @ SV258 @ SV498 )
           != ( res @ ( sK116_SY1113 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK113_P5 @ SV706 @ SV642 @ SV498 @ SV258 ) ) )
          | ~ ~ ( ( ( late_FreeR @ SV642 @ SV706 )
                 != ( late_FreeR @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( res @ ( sK116_SY1113 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK115_SY1111 @ SV706 @ SV642 @ SV498 @ SV258 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK113_P5 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( late_FreeR @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK115_SY1111 @ SV706 @ SV642 @ SV498 @ SV258 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK116_SY1113 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) ) ) ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV258 @ SV498 ) @ ( late_FreeR @ SV642 @ SV706 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2634]) ).

thf(2883,plain,
    ! [SV259: product_unit > late_residual > $o] :
      ( ( ( SV259 @ ( sK26_SY1001 @ SV259 ) @ ( late_FreeR @ ( sK24_FreeRes2 @ SV259 ) @ ( sK25_SY999 @ SV259 ) ) )
        = $false )
      | ( ( ! [SY1707: product_unit,SY1708: late_residual] : ( SV259 @ SY1707 @ SY1708 ) )
        = $true )
      | ( ( fresh_1143631827t_unit @ ( sK28_SY1002 @ SV259 ) @ ( sK30_SY1007 @ SV259 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2635]) ).

thf(2884,plain,
    ! [SV259: product_unit > late_residual > $o] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK28_SY1002 @ SV259 ) @ ( sK27_Subject2 @ SV259 ) ) )
        = $false )
      | ( ( ~ ( SV259 @ ( sK26_SY1001 @ SV259 ) @ ( late_FreeR @ ( sK24_FreeRes2 @ SV259 ) @ ( sK25_SY999 @ SV259 ) ) )
          | ! [SY1707: product_unit,SY1708: late_residual] : ( SV259 @ SY1707 @ SY1708 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2636]) ).

thf(2885,plain,
    ! [SV259: product_unit > late_residual > $o] :
      ( ( ( ~ ~ ( SV259 @ ( sK30_SY1007 @ SV259 ) @ ( late_BoundR @ ( sK27_Subject2 @ SV259 ) @ ( sK28_SY1002 @ SV259 ) @ ( sK29_SY1005 @ SV259 ) ) ) )
        = $false )
      | ( ( ~ ( SV259 @ ( sK26_SY1001 @ SV259 ) @ ( late_FreeR @ ( sK24_FreeRes2 @ SV259 ) @ ( sK25_SY999 @ SV259 ) ) )
          | ! [SY1707: product_unit,SY1708: late_residual] : ( SV259 @ SY1707 @ SY1708 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2636]) ).

thf(2886,plain,
    ! [SV260: pi > late_residual > $o] :
      ( ( ( SV260 @ ( sK5_SY974 @ SV260 ) @ ( late_FreeR @ ( sK3_FreeRes2 @ SV260 ) @ ( sK4_SY972 @ SV260 ) ) )
        = $false )
      | ( ( ! [SY1709: pi,SY1710: late_residual] : ( SV260 @ SY1709 @ SY1710 ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK7_SY975 @ SV260 ) @ ( sK9_SY980 @ SV260 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2637]) ).

thf(2887,plain,
    ! [SV260: pi > late_residual > $o] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK7_SY975 @ SV260 ) @ ( sK6_Subject2 @ SV260 ) ) )
        = $false )
      | ( ( ~ ( SV260 @ ( sK5_SY974 @ SV260 ) @ ( late_FreeR @ ( sK3_FreeRes2 @ SV260 ) @ ( sK4_SY972 @ SV260 ) ) )
          | ! [SY1709: pi,SY1710: late_residual] : ( SV260 @ SY1709 @ SY1710 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2638]) ).

thf(2888,plain,
    ! [SV260: pi > late_residual > $o] :
      ( ( ( ~ ~ ( SV260 @ ( sK9_SY980 @ SV260 ) @ ( late_BoundR @ ( sK6_Subject2 @ SV260 ) @ ( sK7_SY975 @ SV260 ) @ ( sK8_SY978 @ SV260 ) ) ) )
        = $false )
      | ( ( ~ ( SV260 @ ( sK5_SY974 @ SV260 ) @ ( late_FreeR @ ( sK3_FreeRes2 @ SV260 ) @ ( sK4_SY972 @ SV260 ) ) )
          | ! [SY1709: pi,SY1710: late_residual] : ( SV260 @ SY1709 @ SY1710 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2638]) ).

thf(2889,plain,
    ! [SV772: name,SV261: name] :
      ( ( ( SV261 = SV772 )
        = $false )
      | ( ( ! [SY2362: name] :
              ( ( swap_name2 @ ( produc1570949143e_name @ SV261 @ SY2362 ) @ SV772 )
              = SY2362 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2639]) ).

thf(2890,plain,
    ! [SV261: name] :
      ( ( ! [SY1713: name] :
            ( ( SV261 = SY1713 )
            | ! [SY1714: name] :
                ( ( SY1714 != SY1713 )
                | ( ( swap_name2 @ ( produc1570949143e_name @ SV261 @ SY1714 ) @ SY1713 )
                  = SV261 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2640]) ).

thf(2891,plain,
    ! [SV261: name] :
      ( ( ! [SY1715: name] :
            ( ( SV261 = SY1715 )
            | ! [SY1716: name] :
                ( ( SY1716 = SY1715 )
                | ( ( swap_name2 @ ( produc1570949143e_name @ SV261 @ SY1716 ) @ SY1715 )
                  = SY1715 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2641]) ).

thf(2892,plain,
    ! [SV499: $o,SV262: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV262 @ SV499 )
        = $false )
      | ( ( ! [SY2120: name,SY2121: name] :
              ( ( perm_name_name @ SV262 @ ( if_name @ SV499 @ SY2120 @ SY2121 ) )
              = ( perm_name_name @ SV262 @ SY2120 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2642]) ).

thf(2893,plain,
    ! [SV826: name,SV499: $o,SV262: list_P227219501e_name] :
      ( ( ( ! [SY2390: name] :
              ( ( perm_name_name @ SV262 @ ( if_name @ SV499 @ SV826 @ SY2390 ) )
              = ( perm_name_name @ SV262 @ SY2390 ) ) )
        = $true )
      | ( ( perm_name_o @ SV262 @ SV499 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2643]) ).

thf(2894,plain,
    ! [SV262: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV262 @ $true )
        = $false )
      | ( ( ! [SX0: name,SX1: name] :
              ( ( perm_name_name @ SV262 @ ( if_name @ $true @ SX0 @ SX1 ) )
              = ( perm_name_name @ SV262 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2644]) ).

thf(2895,plain,
    ! [SV827: name,SV262: list_P227219501e_name] :
      ( ( ( ! [SY2391: name] :
              ( ( perm_name_name @ SV262 @ ( if_name @ $true @ SV827 @ SY2391 ) )
              = ( perm_name_name @ SV262 @ SY2391 ) ) )
        = $true )
      | ( ( perm_name_o @ SV262 @ $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2645]) ).

thf(2896,plain,
    ! [SV262: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV262 @ $false )
        = $false )
      | ( ( ! [SX0: name,SX1: name] :
              ( ( perm_name_name @ SV262 @ ( if_name @ $false @ SX0 @ SX1 ) )
              = ( perm_name_name @ SV262 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2646]) ).

thf(2897,plain,
    ! [SV828: name,SV262: list_P227219501e_name] :
      ( ( ( ! [SY2392: name] :
              ( ( perm_name_name @ SV262 @ ( if_name @ $false @ SV828 @ SY2392 ) )
              = ( perm_name_name @ SV262 @ SY2392 ) ) )
        = $true )
      | ( ( perm_name_o @ SV262 @ $false )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2647]) ).

thf(2898,plain,
    ! [SV500: list_P227219501e_name,SV263: $o] :
      ( ( SV263 = $false )
      | ( ( ! [SY2124: pi_Rep,SY2125: pi_Rep] :
              ( ( perm_name_pi_Rep @ SV500 @ ( if_pi_Rep @ SV263 @ SY2124 @ SY2125 ) )
              = ( perm_name_pi_Rep @ SV500 @ SY2124 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2648]) ).

thf(2899,plain,
    ! [SV829: pi_Rep,SV263: $o,SV500: list_P227219501e_name] :
      ( ( ( ! [SY2393: pi_Rep] :
              ( ( perm_name_pi_Rep @ SV500 @ ( if_pi_Rep @ SV263 @ SV829 @ SY2393 ) )
              = ( perm_name_pi_Rep @ SV500 @ SY2393 ) ) )
        = $true )
      | ( SV263 = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2649]) ).

thf(2900,plain,
    ! [SV501: list_P227219501e_name] :
      ( ( $true = $false )
      | ( ( ! [SY2128: pi_Rep,SY2129: pi_Rep] :
              ( ( perm_name_pi_Rep @ SV501 @ ( if_pi_Rep @ $true @ SY2128 @ SY2129 ) )
              = ( perm_name_pi_Rep @ SV501 @ SY2128 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2650]) ).

thf(2901,plain,
    ! [SV830: pi_Rep,SV501: list_P227219501e_name] :
      ( ( ( ! [SY2394: pi_Rep] :
              ( ( perm_name_pi_Rep @ SV501 @ ( if_pi_Rep @ $true @ SV830 @ SY2394 ) )
              = ( perm_name_pi_Rep @ SV501 @ SY2394 ) ) )
        = $true )
      | ( $true = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2651]) ).

thf(2902,plain,
    ! [SV502: list_P227219501e_name] :
      ( ( $false = $false )
      | ( ( ! [SY2132: pi_Rep,SY2133: pi_Rep] :
              ( ( perm_name_pi_Rep @ SV502 @ ( if_pi_Rep @ $false @ SY2132 @ SY2133 ) )
              = ( perm_name_pi_Rep @ SV502 @ SY2132 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2652]) ).

thf(2903,plain,
    ! [SV831: pi_Rep,SV502: list_P227219501e_name] :
      ( ( ( ! [SY2395: pi_Rep] :
              ( ( perm_name_pi_Rep @ SV502 @ ( if_pi_Rep @ $false @ SV831 @ SY2395 ) )
              = ( perm_name_pi_Rep @ SV502 @ SY2395 ) ) )
        = $true )
      | ( $false = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2653]) ).

thf(2904,plain,
    ! [SV707: name,SV643: name,SV503: name,SV264: name] :
      ( ( ( ( ( late_OutputR @ SV264 @ SV503 )
            = ( late_OutputR @ SV643 @ SV707 ) )
          | ~ ( ( SV264 != SV643 )
              | ( SV503 != SV707 ) ) )
        = $false )
      | ( ( ~ ( ( ( late_OutputR @ SV264 @ SV503 )
               != ( late_OutputR @ SV643 @ SV707 ) )
              | ~ ~ ( ( SV264 != SV643 )
                    | ( SV503 != SV707 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2654]) ).

thf(2905,plain,
    ! [SV265: name > late_residual > $o] :
      ( ( ( SV265 @ ( sK40_SY1019 @ SV265 ) @ ( late_FreeR @ ( sK38_FreeRes2 @ SV265 ) @ ( sK39_SY1017 @ SV265 ) ) )
        = $false )
      | ( ( ! [SY1730: name,SY1731: late_residual] : ( SV265 @ SY1730 @ SY1731 ) )
        = $true )
      | ( ( fresh_name_name @ ( sK42_SY1020 @ SV265 ) @ ( sK44_SY1025 @ SV265 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2655]) ).

thf(2906,plain,
    ! [SV265: name > late_residual > $o] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK42_SY1020 @ SV265 ) @ ( sK41_Subject2 @ SV265 ) ) )
        = $false )
      | ( ( ~ ( SV265 @ ( sK40_SY1019 @ SV265 ) @ ( late_FreeR @ ( sK38_FreeRes2 @ SV265 ) @ ( sK39_SY1017 @ SV265 ) ) )
          | ! [SY1730: name,SY1731: late_residual] : ( SV265 @ SY1730 @ SY1731 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2656]) ).

thf(2907,plain,
    ! [SV265: name > late_residual > $o] :
      ( ( ( ~ ~ ( SV265 @ ( sK44_SY1025 @ SV265 ) @ ( late_BoundR @ ( sK41_Subject2 @ SV265 ) @ ( sK42_SY1020 @ SV265 ) @ ( sK43_SY1023 @ SV265 ) ) ) )
        = $false )
      | ( ( ~ ( SV265 @ ( sK40_SY1019 @ SV265 ) @ ( late_FreeR @ ( sK38_FreeRes2 @ SV265 ) @ ( sK39_SY1017 @ SV265 ) ) )
          | ! [SY1730: name,SY1731: late_residual] : ( SV265 @ SY1730 @ SY1731 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2656]) ).

thf(2908,plain,
    ! [SV299: name > noption_pi,SV715: name,SV40: name] :
      ( ( ( ! [SV832: name] :
              ( ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV40 @ SV715 ) @ nil_Pr743626285e_name ) @ SV299 @ SV832 )
              = ( SV299 @ SV832 ) ) )
        = $true )
      | ( ( fresh_543891186ion_pi @ SV715 @ SV299 )
        = $false )
      | ( ( fresh_543891186ion_pi @ SV40 @ SV299 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2664]) ).

thf(2909,plain,
    ! [SV299: name > noption_pi,SV715: name,SV40: name] :
      ( ( ( ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV40 @ SV715 ) @ nil_Pr743626285e_name ) @ SV299 )
          = SV299 )
        = $true )
      | ( ( fresh_543891186ion_pi @ SV715 @ SV299 )
        = $false )
      | ( ( fresh_543891186ion_pi @ SV40 @ SV299 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2664]) ).

thf(2910,plain,
    ! [SV307: name > noption_pi,SV723: name,SV48: name] :
      ( ( ( ! [SV833: name] :
              ( ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV48 @ SV723 ) @ nil_Pr743626285e_name ) @ SV307 @ SV833 )
              = ( SV307 @ SV833 ) ) )
        = $true )
      | ( ( fresh_543891186ion_pi @ SV723 @ SV307 )
        = $false )
      | ( ( fresh_543891186ion_pi @ SV48 @ SV307 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2672]) ).

thf(2911,plain,
    ! [SV307: name > noption_pi,SV723: name,SV48: name] :
      ( ( ( ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV48 @ SV723 ) @ nil_Pr743626285e_name ) @ SV307 )
          = SV307 )
        = $true )
      | ( ( fresh_543891186ion_pi @ SV723 @ SV307 )
        = $false )
      | ( ( fresh_543891186ion_pi @ SV48 @ SV307 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2672]) ).

thf(2912,plain,
    ! [SV523: pi,SV309: name,SV50: list_P227219501e_name] :
      ( ( ( ~ ( fresh_name_pi @ ( perm_name_name @ SV50 @ SV309 ) @ ( perm_name_pi @ SV50 @ SV523 ) )
          | ~ ( fresh_name_pi @ SV309 @ SV523 ) )
        = $false )
      | ( ( fresh_name_pi @ ( perm_name_name @ SV50 @ SV309 ) @ ( perm_name_pi @ SV50 @ SV523 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2674]) ).

thf(2913,plain,
    ! [SV523: pi,SV309: name,SV50: list_P227219501e_name] :
      ( ( ( ~ ( fresh_name_pi @ ( perm_name_name @ SV50 @ SV309 ) @ ( perm_name_pi @ SV50 @ SV523 ) )
          | ~ ( fresh_name_pi @ SV309 @ SV523 ) )
        = $false )
      | ( ( fresh_name_pi @ SV309 @ SV523 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2675]) ).

thf(2914,plain,
    ! [SV320: name,SV649: late_subject,SV62: name] :
      ( ( ( fresh_717452603ubject @ SV62 @ SV649 )
        = $false )
      | ( ( ! [SY2255: name] : ( fresh_717452603ubject @ SV62 @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV320 @ SY2255 ) @ nil_Pr743626285e_name ) @ SV649 ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ SV320 @ SV649 )
        = $false )
      | ( ( SV62 = SV320 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2677]) ).

thf(2915,plain,
    ! [SV321: name,SV650: late_freeRes,SV63: name] :
      ( ( ( fresh_1641682979reeRes @ SV63 @ SV650 )
        = $false )
      | ( ( ! [SY2256: name] : ( fresh_1641682979reeRes @ SV63 @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV321 @ SY2256 ) @ nil_Pr743626285e_name ) @ SV650 ) ) )
        = $true )
      | ( ( fresh_1641682979reeRes @ SV321 @ SV650 )
        = $false )
      | ( ( SV63 = SV321 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2678]) ).

thf(2916,plain,
    ! [SV322: name,SV651: pi_Rep,SV64: name] :
      ( ( ( fresh_name_pi_Rep @ SV64 @ SV651 )
        = $false )
      | ( ( ! [SY2257: name] : ( fresh_name_pi_Rep @ SV64 @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV322 @ SY2257 ) @ nil_Pr743626285e_name ) @ SV651 ) ) )
        = $true )
      | ( ( fresh_name_pi_Rep @ SV322 @ SV651 )
        = $false )
      | ( ( SV64 = SV322 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2679]) ).

thf(2917,plain,
    ! [SV323: name,SV652: product_unit,SV65: name] :
      ( ( ( fresh_1143631827t_unit @ SV65 @ SV652 )
        = $false )
      | ( ( ! [SY2258: name] : ( fresh_1143631827t_unit @ SV65 @ ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV323 @ SY2258 ) @ nil_Pr743626285e_name ) @ SV652 ) ) )
        = $true )
      | ( ( fresh_1143631827t_unit @ SV323 @ SV652 )
        = $false )
      | ( ( SV65 = SV323 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2680]) ).

thf(2918,plain,
    ! [SV324: name,SV653: produc1141751126_pi_pi,SV66: name] :
      ( ( ( fresh_1376661020_pi_pi @ SV66 @ SV653 )
        = $false )
      | ( ( ! [SY2259: name] : ( fresh_1376661020_pi_pi @ SV66 @ ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV324 @ SY2259 ) @ nil_Pr743626285e_name ) @ SV653 ) ) )
        = $true )
      | ( ( fresh_1376661020_pi_pi @ SV324 @ SV653 )
        = $false )
      | ( ( SV66 = SV324 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2681]) ).

thf(2919,plain,
    ! [SV325: name,SV654: name,SV67: name] :
      ( ( ( fresh_name_name @ SV67 @ SV654 )
        = $false )
      | ( ( ! [SY2260: name] : ( fresh_name_name @ SV67 @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV325 @ SY2260 ) @ nil_Pr743626285e_name ) @ SV654 ) ) )
        = $true )
      | ( ( fresh_name_name @ SV325 @ SV654 )
        = $false )
      | ( ( SV67 = SV325 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2682]) ).

thf(2920,plain,
    ! [SV326: name,SV655: pi,SV68: name] :
      ( ( ( fresh_name_pi @ SV68 @ SV655 )
        = $false )
      | ( ( ! [SY2261: name] : ( fresh_name_pi @ SV68 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV326 @ SY2261 ) @ nil_Pr743626285e_name ) @ SV655 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV326 @ SV655 )
        = $false )
      | ( ( SV68 = SV326 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2683]) ).

thf(2921,plain,
    ! [SV327: name,SV656: name > noption_pi,SV69: name] :
      ( ( ( fresh_543891186ion_pi @ SV69 @ SV656 )
        = $false )
      | ( ( ! [SY2262: name] : ( fresh_543891186ion_pi @ SV69 @ ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV327 @ SY2262 ) @ nil_Pr743626285e_name ) @ SV656 ) ) )
        = $true )
      | ( ( fresh_543891186ion_pi @ SV327 @ SV656 )
        = $false )
      | ( ( SV69 = SV327 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2684]) ).

thf(2922,plain,
    ! [SV528: pi,SV331: pi,SV73: list_P227219501e_name] :
      ( ( ( ( ( perm_name_pi @ SV73 @ SV331 )
           != ( perm_name_pi @ SV73 @ SV528 ) )
          | ( SV331 != SV528 ) )
        = $false )
      | ( ( ( perm_name_pi @ SV73 @ SV331 )
          = ( perm_name_pi @ SV73 @ SV528 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2685]) ).

thf(2923,plain,
    ! [SV528: pi,SV331: pi,SV73: list_P227219501e_name] :
      ( ( ( ( ( perm_name_pi @ SV73 @ SV331 )
           != ( perm_name_pi @ SV73 @ SV528 ) )
          | ( SV331 != SV528 ) )
        = $false )
      | ( ( SV331 = SV528 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2686]) ).

thf(2924,plain,
    ! [SV531: pi,SV334: pi,SV76: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV76 @ ( SV334 = SV531 ) )
          | ( ( perm_name_pi @ SV76 @ SV334 )
           != ( perm_name_pi @ SV76 @ SV531 ) ) )
        = $false )
      | ( ( perm_name_o @ SV76 @ ( SV334 = SV531 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2687]) ).

thf(2925,plain,
    ! [SV531: pi,SV334: pi,SV76: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV76 @ ( SV334 = SV531 ) )
          | ( ( perm_name_pi @ SV76 @ SV334 )
           != ( perm_name_pi @ SV76 @ SV531 ) ) )
        = $false )
      | ( ( ( perm_name_pi @ SV76 @ SV334 )
          = ( perm_name_pi @ SV76 @ SV531 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2688]) ).

thf(2926,plain,
    ! [SV345: name,SV90: name] :
      ( ( ( ( late_BoundOutputS @ SV90 )
         != ( late_BoundOutputS @ SV345 ) )
        = $false )
      | ( ( ( late_BoundOutputS @ SV90 )
          = ( late_BoundOutputS @ SV345 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2689]) ).

thf(2927,plain,
    ! [SV345: name,SV90: name] :
      ( ( ( SV90 != SV345 )
        = $false )
      | ( ( ( late_BoundOutputS @ SV90 )
          = ( late_BoundOutputS @ SV345 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2689]) ).

thf(2928,plain,
    ! [SV345: name,SV90: name] :
      ( ( ( ( late_BoundOutputS @ SV90 )
         != ( late_BoundOutputS @ SV345 ) )
        = $false )
      | ( ( SV90 = SV345 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2690]) ).

thf(2929,plain,
    ! [SV345: name,SV90: name] :
      ( ( ( SV90 != SV345 )
        = $false )
      | ( ( SV90 = SV345 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2690]) ).

thf(2930,plain,
    ! [SV348: name,SV93: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV93 @ ( late_BoundOutputS @ SV348 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ SV93 @ ( late_BoundOutputS @ SV348 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2691]) ).

thf(2931,plain,
    ! [SV348: name,SV93: name] :
      ( ( ( ~ ( fresh_name_name @ SV93 @ SV348 ) )
        = $false )
      | ( ( fresh_717452603ubject @ SV93 @ ( late_BoundOutputS @ SV348 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2691]) ).

thf(2932,plain,
    ! [SV348: name,SV93: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV93 @ ( late_BoundOutputS @ SV348 ) ) )
        = $false )
      | ( ( fresh_name_name @ SV93 @ SV348 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2692]) ).

thf(2933,plain,
    ! [SV348: name,SV93: name] :
      ( ( ( ~ ( fresh_name_name @ SV93 @ SV348 ) )
        = $false )
      | ( ( fresh_name_name @ SV93 @ SV348 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2692]) ).

thf(2934,plain,
    ! [SV538: pi,SV95: pi,SV350: late_freeRes,SV777: name] :
      ( ( ( fresh_1641682979reeRes @ SV777 @ SV350 )
        = $false )
      | ( ( late_transitions @ ( res @ SV777 @ SV95 ) @ ( late_FreeR @ SV350 @ ( res @ SV777 @ SV538 ) ) )
        = $true )
      | ( ( late_transitions @ SV95 @ ( late_FreeR @ SV350 @ SV538 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2694]) ).

thf(2935,plain,
    ! [SV658: pi,SV96: pi,SV539: name,SV351: late_subject,SV791: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV791 @ SV351 ) )
        = $true )
      | ( ( ( SV791 = SV539 )
          | ( late_transitions @ ( res @ SV791 @ SV96 ) @ ( late_BoundR @ SV351 @ SV539 @ ( res @ SV791 @ SV658 ) ) ) )
        = $true )
      | ( ( late_transitions @ SV96 @ ( late_BoundR @ SV351 @ SV539 @ SV658 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2695]) ).

thf(2936,plain,
    ! [SV735: pi,SV540: name,SV352: late_subject,SV97: pi,SV792: name] :
      ( ( ( ~ ( fresh_name_pi @ SV792 @ SV97 ) )
        = $true )
      | ( ( fresh_717452603ubject @ SV792 @ SV352 )
        = $true )
      | ( ( late_transitions @ SV97 @ ( late_BoundR @ SV352 @ SV540 @ SV735 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2696]) ).

thf(2937,plain,
    ! [SV659: pi,SV98: pi,SV541: name,SV353: late_subject,SV793: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV793 @ SV353 ) )
        = $true )
      | ( ( ( SV793 = SV541 )
          | ~ ( fresh_name_pi @ SV541 @ SV98 )
          | ~ ( fresh_717452603ubject @ SV541 @ SV353 )
          | ( late_transitions @ ( res @ SV793 @ SV98 ) @ ( late_BoundR @ SV353 @ SV541 @ ( res @ SV793 @ SV659 ) ) ) )
        = $true )
      | ( ( late_transitions @ SV98 @ ( late_BoundR @ SV353 @ SV541 @ SV659 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2697]) ).

thf(2938,plain,
    ! [SV660: pi,SV354: late_subject,SV99: pi,SV542: name] :
      ( ( ( fresh_name_pi @ SV542 @ SV99 )
        = $false )
      | ( ( ! [SY2265: pi] :
              ( ~ ( fresh_name_pi @ SV542 @ SY2265 )
              | ~ ( fresh_717452603ubject @ SV542 @ SV354 )
              | ( late_transitions @ ( par @ SV99 @ SY2265 ) @ ( late_BoundR @ SV354 @ SV542 @ ( par @ SV660 @ SY2265 ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV99 @ ( late_BoundR @ SV354 @ SV542 @ SV660 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2698]) ).

thf(2939,plain,
    ! [SV661: pi,SV355: late_subject,SV100: pi,SV794: pi,SV543: name] :
      ( ( ( ~ ( fresh_name_pi @ SV543 @ SV794 ) )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV543 @ SV100 )
          | ~ ( fresh_717452603ubject @ SV543 @ SV355 )
          | ( late_transitions @ ( par @ SV794 @ SV100 ) @ ( late_BoundR @ SV355 @ SV543 @ ( par @ SV794 @ SV661 ) ) ) )
        = $true )
      | ( ( late_transitions @ SV100 @ ( late_BoundR @ SV355 @ SV543 @ SV661 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2699]) ).

thf(2940,plain,
    ! [SV361: late_subject,SV663: pi,SV547: name,SV108: pi,SV795: name] :
      ( ( ( ~ ( fresh_name_pi @ SV795 @ SV108 ) )
        = $true )
      | ( ( ( SV795 = SV547 )
          | ( fresh_name_pi @ SV795 @ SV663 ) )
        = $true )
      | ( ( late_transitions @ SV108 @ ( late_BoundR @ SV361 @ SV547 @ SV663 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2700]) ).

thf(2941,plain,
    ! [SV362: late_freeRes,SV548: pi,SV109: pi,SV782: name] :
      ( ( ( fresh_name_pi @ SV782 @ SV109 )
        = $false )
      | ( ( fresh_name_pi @ SV782 @ SV548 )
        = $true )
      | ( ( late_transitions @ SV109 @ ( late_FreeR @ SV362 @ SV548 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2701]) ).

thf(2942,plain,
    ! [SV664: pi,SV363: late_subject,SV110: pi,SV796: pi,SV549: name] :
      ( ( ( ~ ( fresh_name_pi @ SV549 @ SV796 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV110 @ SV796 ) @ ( late_BoundR @ SV363 @ SV549 @ ( par @ SV664 @ SV796 ) ) )
        = $true )
      | ( ( late_transitions @ SV110 @ ( late_BoundR @ SV363 @ SV549 @ SV664 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2702]) ).

thf(2943,plain,
    ! [SV665: pi,SV364: late_subject,SV111: pi,SV797: pi,SV550: name] :
      ( ( ( ~ ( fresh_name_pi @ SV550 @ SV797 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV797 @ SV111 ) @ ( late_BoundR @ SV364 @ SV550 @ ( par @ SV797 @ SV665 ) ) )
        = $true )
      | ( ( late_transitions @ SV111 @ ( late_BoundR @ SV364 @ SV550 @ SV665 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2703]) ).

thf(2944,plain,
    ! [SV667: name,SV552: late_subject,SV366: pi,SV113: pi,SV738: set_Pr1834926343_pi_pi] :
      ( ( ( ~ ( eqvt_pi @ SV738 ) )
        = $true )
      | ( ( ! [SY2331: list_P227219501e_name] : ( strong2129052853vative @ ( perm_name_pi @ SY2331 @ SV113 ) @ ( perm_name_pi @ SY2331 @ SV366 ) @ SV552 @ ( perm_name_name @ SY2331 @ SV667 ) @ SV738 ) )
        = $true )
      | ( ( strong2129052853vative @ SV113 @ SV366 @ SV552 @ SV667 @ SV738 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2705]) ).

thf(2945,plain,
    ! [SV371: name,SV119: name] :
      ( ( ( ( late_BoundOutputS @ SV119 )
         != ( late_BoundOutputS @ SV371 ) )
        = $false )
      | ( ( ( late_BoundOutputS @ SV119 )
          = ( late_BoundOutputS @ SV371 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2706]) ).

thf(2946,plain,
    ! [SV371: name,SV119: name] :
      ( ( ( SV119 != SV371 )
        = $false )
      | ( ( ( late_BoundOutputS @ SV119 )
          = ( late_BoundOutputS @ SV371 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2706]) ).

thf(2947,plain,
    ! [SV371: name,SV119: name] :
      ( ( ( ( late_BoundOutputS @ SV119 )
         != ( late_BoundOutputS @ SV371 ) )
        = $false )
      | ( ( SV119 = SV371 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2707]) ).

thf(2948,plain,
    ! [SV371: name,SV119: name] :
      ( ( ( SV119 != SV371 )
        = $false )
      | ( ( SV119 = SV371 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2707]) ).

thf(2949,plain,
    ! [SV798: pi,SV785: name,SV677: late_subject,SV563: pi,SV382: name,SV131: name] :
      ( ( ( late_transitions @ ( input @ SV131 @ SV382 @ SV563 ) @ ( late_BoundR @ SV677 @ SV785 @ SV798 ) )
        = $false )
      | ( ( ~ ( fresh_717452603ubject @ SV131 @ SV677 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2710]) ).

thf(2950,plain,
    ! [SV799: pi,SV786: name,SV745: name,SV678: pi,SV564: name,SV383: name,SV132: name] :
      ( ( late_transitions @ ( res @ SV132 @ ( input @ SV383 @ SV564 @ SV678 ) ) @ ( late_BoundR @ ( late_BoundOutputS @ SV745 ) @ SV786 @ SV799 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2711]) ).

thf(2951,plain,
    ! [SV135: $o] :
      ( ( ( ~ SV135 ) = $false )
      | ( SV135 = $false )
      | ( ( SV135 = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2712]) ).

thf(2952,plain,
    ! [SV135: $o] :
      ( ( ( ~ $true ) = $false )
      | ( SV135 = $false )
      | ( ( SV135 = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2712]) ).

thf(2953,plain,
    ! [SV135: $o] :
      ( ( ( ~ SV135 ) = $false )
      | ( $true = $false )
      | ( ( SV135 = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2713]) ).

thf(2954,plain,
    ! [SV135: $o] :
      ( ( ( ~ $true ) = $false )
      | ( $true = $false )
      | ( ( SV135 = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2713]) ).

thf(2955,plain,
    ! [SV135: $o] :
      ( ( ( ~ SV135
          | ~ $false )
        = $false )
      | ( SV135 = $false )
      | ( ( SV135 = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2714]) ).

thf(2956,plain,
    ! [SV135: $o] :
      ( ( ( ~ SV135
          | ~ $false )
        = $false )
      | ( $false = $false )
      | ( ( SV135 = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2715]) ).

thf(2957,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2716]) ).

thf(2958,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2716]) ).

thf(2959,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2717]) ).

thf(2960,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2717]) ).

thf(2961,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $true = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2718]) ).

thf(2962,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2719]) ).

thf(2963,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2720]) ).

thf(2964,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2720]) ).

thf(2965,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2721]) ).

thf(2966,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2721]) ).

thf(2967,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2722]) ).

thf(2968,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2723]) ).

thf(2969,plain,
    ! [SV566: late_subject,SV393: name,SV147: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV147 @ ( fresh_717452603ubject @ SV393 @ SV566 ) )
          | ~ ( fresh_717452603ubject @ ( perm_name_name @ SV147 @ SV393 ) @ ( perm_n1559866809ubject @ SV147 @ SV566 ) ) )
        = $false )
      | ( ( perm_name_o @ SV147 @ ( fresh_717452603ubject @ SV393 @ SV566 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2731]) ).

thf(2970,plain,
    ! [SV566: late_subject,SV393: name,SV147: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV147 @ ( fresh_717452603ubject @ SV393 @ SV566 ) )
          | ~ ( fresh_717452603ubject @ ( perm_name_name @ SV147 @ SV393 ) @ ( perm_n1559866809ubject @ SV147 @ SV566 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( perm_name_name @ SV147 @ SV393 ) @ ( perm_n1559866809ubject @ SV147 @ SV566 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2732]) ).

thf(2971,plain,
    ! [SV567: late_freeRes,SV394: name,SV148: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV148 @ ( fresh_1641682979reeRes @ SV394 @ SV567 ) )
          | ~ ( fresh_1641682979reeRes @ ( perm_name_name @ SV148 @ SV394 ) @ ( perm_n336613537reeRes @ SV148 @ SV567 ) ) )
        = $false )
      | ( ( perm_name_o @ SV148 @ ( fresh_1641682979reeRes @ SV394 @ SV567 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2733]) ).

thf(2972,plain,
    ! [SV567: late_freeRes,SV394: name,SV148: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV148 @ ( fresh_1641682979reeRes @ SV394 @ SV567 ) )
          | ~ ( fresh_1641682979reeRes @ ( perm_name_name @ SV148 @ SV394 ) @ ( perm_n336613537reeRes @ SV148 @ SV567 ) ) )
        = $false )
      | ( ( fresh_1641682979reeRes @ ( perm_name_name @ SV148 @ SV394 ) @ ( perm_n336613537reeRes @ SV148 @ SV567 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2734]) ).

thf(2973,plain,
    ! [SV568: pi_Rep,SV395: name,SV149: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV149 @ ( fresh_name_pi_Rep @ SV395 @ SV568 ) )
          | ~ ( fresh_name_pi_Rep @ ( perm_name_name @ SV149 @ SV395 ) @ ( perm_name_pi_Rep @ SV149 @ SV568 ) ) )
        = $false )
      | ( ( perm_name_o @ SV149 @ ( fresh_name_pi_Rep @ SV395 @ SV568 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2735]) ).

thf(2974,plain,
    ! [SV568: pi_Rep,SV395: name,SV149: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV149 @ ( fresh_name_pi_Rep @ SV395 @ SV568 ) )
          | ~ ( fresh_name_pi_Rep @ ( perm_name_name @ SV149 @ SV395 ) @ ( perm_name_pi_Rep @ SV149 @ SV568 ) ) )
        = $false )
      | ( ( fresh_name_pi_Rep @ ( perm_name_name @ SV149 @ SV395 ) @ ( perm_name_pi_Rep @ SV149 @ SV568 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2736]) ).

thf(2975,plain,
    ! [SV569: product_unit,SV396: name,SV150: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV150 @ ( fresh_1143631827t_unit @ SV396 @ SV569 ) )
          | ~ ( fresh_1143631827t_unit @ ( perm_name_name @ SV150 @ SV396 ) @ ( perm_n1960409557t_unit @ SV150 @ SV569 ) ) )
        = $false )
      | ( ( perm_name_o @ SV150 @ ( fresh_1143631827t_unit @ SV396 @ SV569 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2737]) ).

thf(2976,plain,
    ! [SV569: product_unit,SV396: name,SV150: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV150 @ ( fresh_1143631827t_unit @ SV396 @ SV569 ) )
          | ~ ( fresh_1143631827t_unit @ ( perm_name_name @ SV150 @ SV396 ) @ ( perm_n1960409557t_unit @ SV150 @ SV569 ) ) )
        = $false )
      | ( ( fresh_1143631827t_unit @ ( perm_name_name @ SV150 @ SV396 ) @ ( perm_n1960409557t_unit @ SV150 @ SV569 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2738]) ).

thf(2977,plain,
    ! [SV570: produc1141751126_pi_pi,SV397: name,SV151: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV151 @ ( fresh_1376661020_pi_pi @ SV397 @ SV570 ) )
          | ~ ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV151 @ SV397 ) @ ( perm_n1255502110_pi_pi @ SV151 @ SV570 ) ) )
        = $false )
      | ( ( perm_name_o @ SV151 @ ( fresh_1376661020_pi_pi @ SV397 @ SV570 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2739]) ).

thf(2978,plain,
    ! [SV570: produc1141751126_pi_pi,SV397: name,SV151: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV151 @ ( fresh_1376661020_pi_pi @ SV397 @ SV570 ) )
          | ~ ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV151 @ SV397 ) @ ( perm_n1255502110_pi_pi @ SV151 @ SV570 ) ) )
        = $false )
      | ( ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV151 @ SV397 ) @ ( perm_n1255502110_pi_pi @ SV151 @ SV570 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2740]) ).

thf(2979,plain,
    ! [SV571: name,SV398: name,SV152: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV152 @ ( fresh_name_name @ SV398 @ SV571 ) )
          | ~ ( fresh_name_name @ ( perm_name_name @ SV152 @ SV398 ) @ ( perm_name_name @ SV152 @ SV571 ) ) )
        = $false )
      | ( ( perm_name_o @ SV152 @ ( fresh_name_name @ SV398 @ SV571 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2741]) ).

thf(2980,plain,
    ! [SV571: name,SV398: name,SV152: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV152 @ ( fresh_name_name @ SV398 @ SV571 ) )
          | ~ ( fresh_name_name @ ( perm_name_name @ SV152 @ SV398 ) @ ( perm_name_name @ SV152 @ SV571 ) ) )
        = $false )
      | ( ( fresh_name_name @ ( perm_name_name @ SV152 @ SV398 ) @ ( perm_name_name @ SV152 @ SV571 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2742]) ).

thf(2981,plain,
    ! [SV572: pi,SV399: name,SV153: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV153 @ ( fresh_name_pi @ SV399 @ SV572 ) )
          | ~ ( fresh_name_pi @ ( perm_name_name @ SV153 @ SV399 ) @ ( perm_name_pi @ SV153 @ SV572 ) ) )
        = $false )
      | ( ( perm_name_o @ SV153 @ ( fresh_name_pi @ SV399 @ SV572 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2743]) ).

thf(2982,plain,
    ! [SV572: pi,SV399: name,SV153: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV153 @ ( fresh_name_pi @ SV399 @ SV572 ) )
          | ~ ( fresh_name_pi @ ( perm_name_name @ SV153 @ SV399 ) @ ( perm_name_pi @ SV153 @ SV572 ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( perm_name_name @ SV153 @ SV399 ) @ ( perm_name_pi @ SV153 @ SV572 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2744]) ).

thf(2983,plain,
    ! [SV573: name > noption_pi,SV400: name,SV154: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV154 @ ( fresh_543891186ion_pi @ SV400 @ SV573 ) )
          | ~ ( fresh_543891186ion_pi @ ( perm_name_name @ SV154 @ SV400 ) @ ( perm_n1667196784ion_pi @ SV154 @ SV573 ) ) )
        = $false )
      | ( ( perm_name_o @ SV154 @ ( fresh_543891186ion_pi @ SV400 @ SV573 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2745]) ).

thf(2984,plain,
    ! [SV573: name > noption_pi,SV400: name,SV154: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV154 @ ( fresh_543891186ion_pi @ SV400 @ SV573 ) )
          | ~ ( fresh_543891186ion_pi @ ( perm_name_name @ SV154 @ SV400 ) @ ( perm_n1667196784ion_pi @ SV154 @ SV573 ) ) )
        = $false )
      | ( ( fresh_543891186ion_pi @ ( perm_name_name @ SV154 @ SV400 ) @ ( perm_n1667196784ion_pi @ SV154 @ SV573 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2746]) ).

thf(2985,plain,
    ! [SV574: late_subject,SV401: name,SV155: list_P227219501e_name] :
      ( ( ( ~ ( fresh_717452603ubject @ ( perm_name_name @ SV155 @ SV401 ) @ ( perm_n1559866809ubject @ SV155 @ SV574 ) )
          | ~ ( fresh_717452603ubject @ SV401 @ SV574 ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( perm_name_name @ SV155 @ SV401 ) @ ( perm_n1559866809ubject @ SV155 @ SV574 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2747]) ).

thf(2986,plain,
    ! [SV574: late_subject,SV401: name,SV155: list_P227219501e_name] :
      ( ( ( ~ ( fresh_717452603ubject @ ( perm_name_name @ SV155 @ SV401 ) @ ( perm_n1559866809ubject @ SV155 @ SV574 ) )
          | ~ ( fresh_717452603ubject @ SV401 @ SV574 ) )
        = $false )
      | ( ( fresh_717452603ubject @ SV401 @ SV574 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2748]) ).

thf(2987,plain,
    ! [SV575: late_freeRes,SV402: name,SV156: list_P227219501e_name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( perm_name_name @ SV156 @ SV402 ) @ ( perm_n336613537reeRes @ SV156 @ SV575 ) )
          | ~ ( fresh_1641682979reeRes @ SV402 @ SV575 ) )
        = $false )
      | ( ( fresh_1641682979reeRes @ ( perm_name_name @ SV156 @ SV402 ) @ ( perm_n336613537reeRes @ SV156 @ SV575 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2749]) ).

thf(2988,plain,
    ! [SV575: late_freeRes,SV402: name,SV156: list_P227219501e_name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( perm_name_name @ SV156 @ SV402 ) @ ( perm_n336613537reeRes @ SV156 @ SV575 ) )
          | ~ ( fresh_1641682979reeRes @ SV402 @ SV575 ) )
        = $false )
      | ( ( fresh_1641682979reeRes @ SV402 @ SV575 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2750]) ).

thf(2989,plain,
    ! [SV576: pi_Rep,SV403: name,SV157: list_P227219501e_name] :
      ( ( ( ~ ( fresh_name_pi_Rep @ ( perm_name_name @ SV157 @ SV403 ) @ ( perm_name_pi_Rep @ SV157 @ SV576 ) )
          | ~ ( fresh_name_pi_Rep @ SV403 @ SV576 ) )
        = $false )
      | ( ( fresh_name_pi_Rep @ ( perm_name_name @ SV157 @ SV403 ) @ ( perm_name_pi_Rep @ SV157 @ SV576 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2751]) ).

thf(2990,plain,
    ! [SV576: pi_Rep,SV403: name,SV157: list_P227219501e_name] :
      ( ( ( ~ ( fresh_name_pi_Rep @ ( perm_name_name @ SV157 @ SV403 ) @ ( perm_name_pi_Rep @ SV157 @ SV576 ) )
          | ~ ( fresh_name_pi_Rep @ SV403 @ SV576 ) )
        = $false )
      | ( ( fresh_name_pi_Rep @ SV403 @ SV576 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2752]) ).

thf(2991,plain,
    ! [SV577: product_unit,SV404: name,SV158: list_P227219501e_name] :
      ( ( ( ~ ( fresh_1143631827t_unit @ ( perm_name_name @ SV158 @ SV404 ) @ ( perm_n1960409557t_unit @ SV158 @ SV577 ) )
          | ~ ( fresh_1143631827t_unit @ SV404 @ SV577 ) )
        = $false )
      | ( ( fresh_1143631827t_unit @ ( perm_name_name @ SV158 @ SV404 ) @ ( perm_n1960409557t_unit @ SV158 @ SV577 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2753]) ).

thf(2992,plain,
    ! [SV577: product_unit,SV404: name,SV158: list_P227219501e_name] :
      ( ( ( ~ ( fresh_1143631827t_unit @ ( perm_name_name @ SV158 @ SV404 ) @ ( perm_n1960409557t_unit @ SV158 @ SV577 ) )
          | ~ ( fresh_1143631827t_unit @ SV404 @ SV577 ) )
        = $false )
      | ( ( fresh_1143631827t_unit @ SV404 @ SV577 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2754]) ).

thf(2993,plain,
    ! [SV578: produc1141751126_pi_pi,SV405: name,SV159: list_P227219501e_name] :
      ( ( ( ~ ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV159 @ SV405 ) @ ( perm_n1255502110_pi_pi @ SV159 @ SV578 ) )
          | ~ ( fresh_1376661020_pi_pi @ SV405 @ SV578 ) )
        = $false )
      | ( ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV159 @ SV405 ) @ ( perm_n1255502110_pi_pi @ SV159 @ SV578 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2755]) ).

thf(2994,plain,
    ! [SV578: produc1141751126_pi_pi,SV405: name,SV159: list_P227219501e_name] :
      ( ( ( ~ ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV159 @ SV405 ) @ ( perm_n1255502110_pi_pi @ SV159 @ SV578 ) )
          | ~ ( fresh_1376661020_pi_pi @ SV405 @ SV578 ) )
        = $false )
      | ( ( fresh_1376661020_pi_pi @ SV405 @ SV578 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2756]) ).

thf(2995,plain,
    ! [SV579: name,SV406: name,SV160: list_P227219501e_name] :
      ( ( ( ~ ( fresh_name_name @ ( perm_name_name @ SV160 @ SV406 ) @ ( perm_name_name @ SV160 @ SV579 ) )
          | ~ ( fresh_name_name @ SV406 @ SV579 ) )
        = $false )
      | ( ( fresh_name_name @ ( perm_name_name @ SV160 @ SV406 ) @ ( perm_name_name @ SV160 @ SV579 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2757]) ).

thf(2996,plain,
    ! [SV579: name,SV406: name,SV160: list_P227219501e_name] :
      ( ( ( ~ ( fresh_name_name @ ( perm_name_name @ SV160 @ SV406 ) @ ( perm_name_name @ SV160 @ SV579 ) )
          | ~ ( fresh_name_name @ SV406 @ SV579 ) )
        = $false )
      | ( ( fresh_name_name @ SV406 @ SV579 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2758]) ).

thf(2997,plain,
    ! [SV580: name > noption_pi,SV407: name,SV161: list_P227219501e_name] :
      ( ( ( ~ ( fresh_543891186ion_pi @ ( perm_name_name @ SV161 @ SV407 ) @ ( perm_n1667196784ion_pi @ SV161 @ SV580 ) )
          | ~ ( fresh_543891186ion_pi @ SV407 @ SV580 ) )
        = $false )
      | ( ( fresh_543891186ion_pi @ ( perm_name_name @ SV161 @ SV407 ) @ ( perm_n1667196784ion_pi @ SV161 @ SV580 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2759]) ).

thf(2998,plain,
    ! [SV580: name > noption_pi,SV407: name,SV161: list_P227219501e_name] :
      ( ( ( ~ ( fresh_543891186ion_pi @ ( perm_name_name @ SV161 @ SV407 ) @ ( perm_n1667196784ion_pi @ SV161 @ SV580 ) )
          | ~ ( fresh_543891186ion_pi @ SV407 @ SV580 ) )
        = $false )
      | ( ( fresh_543891186ion_pi @ SV407 @ SV580 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2760]) ).

thf(2999,plain,
    ! [SV593: late_subject,SV420: late_subject,SV174: list_P227219501e_name] :
      ( ( ( ( ( perm_n1559866809ubject @ SV174 @ SV420 )
           != ( perm_n1559866809ubject @ SV174 @ SV593 ) )
          | ( SV420 != SV593 ) )
        = $false )
      | ( ( ( perm_n1559866809ubject @ SV174 @ SV420 )
          = ( perm_n1559866809ubject @ SV174 @ SV593 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2761]) ).

thf(3000,plain,
    ! [SV593: late_subject,SV420: late_subject,SV174: list_P227219501e_name] :
      ( ( ( ( ( perm_n1559866809ubject @ SV174 @ SV420 )
           != ( perm_n1559866809ubject @ SV174 @ SV593 ) )
          | ( SV420 != SV593 ) )
        = $false )
      | ( ( SV420 = SV593 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2762]) ).

thf(3001,plain,
    ! [SV594: late_freeRes,SV421: late_freeRes,SV175: list_P227219501e_name] :
      ( ( ( ( ( perm_n336613537reeRes @ SV175 @ SV421 )
           != ( perm_n336613537reeRes @ SV175 @ SV594 ) )
          | ( SV421 != SV594 ) )
        = $false )
      | ( ( ( perm_n336613537reeRes @ SV175 @ SV421 )
          = ( perm_n336613537reeRes @ SV175 @ SV594 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2763]) ).

thf(3002,plain,
    ! [SV594: late_freeRes,SV421: late_freeRes,SV175: list_P227219501e_name] :
      ( ( ( ( ( perm_n336613537reeRes @ SV175 @ SV421 )
           != ( perm_n336613537reeRes @ SV175 @ SV594 ) )
          | ( SV421 != SV594 ) )
        = $false )
      | ( ( SV421 = SV594 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2764]) ).

thf(3003,plain,
    ! [SV595: pi_Rep,SV422: pi_Rep,SV176: list_P227219501e_name] :
      ( ( ( ( ( perm_name_pi_Rep @ SV176 @ SV422 )
           != ( perm_name_pi_Rep @ SV176 @ SV595 ) )
          | ( SV422 != SV595 ) )
        = $false )
      | ( ( ( perm_name_pi_Rep @ SV176 @ SV422 )
          = ( perm_name_pi_Rep @ SV176 @ SV595 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2765]) ).

thf(3004,plain,
    ! [SV595: pi_Rep,SV422: pi_Rep,SV176: list_P227219501e_name] :
      ( ( ( ( ( perm_name_pi_Rep @ SV176 @ SV422 )
           != ( perm_name_pi_Rep @ SV176 @ SV595 ) )
          | ( SV422 != SV595 ) )
        = $false )
      | ( ( SV422 = SV595 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2766]) ).

thf(3005,plain,
    ! [SV596: name,SV423: name,SV177: list_P227219501e_name] :
      ( ( ( ( ( perm_name_name @ SV177 @ SV423 )
           != ( perm_name_name @ SV177 @ SV596 ) )
          | ( SV423 != SV596 ) )
        = $false )
      | ( ( ( perm_name_name @ SV177 @ SV423 )
          = ( perm_name_name @ SV177 @ SV596 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2767]) ).

thf(3006,plain,
    ! [SV596: name,SV423: name,SV177: list_P227219501e_name] :
      ( ( ( ( ( perm_name_name @ SV177 @ SV423 )
           != ( perm_name_name @ SV177 @ SV596 ) )
          | ( SV423 != SV596 ) )
        = $false )
      | ( ( SV423 = SV596 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2768]) ).

thf(3007,plain,
    ! [SV605: late_subject,SV432: late_subject,SV186: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV186 @ ( SV432 = SV605 ) )
          | ( ( perm_n1559866809ubject @ SV186 @ SV432 )
           != ( perm_n1559866809ubject @ SV186 @ SV605 ) ) )
        = $false )
      | ( ( perm_name_o @ SV186 @ ( SV432 = SV605 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2769]) ).

thf(3008,plain,
    ! [SV605: late_subject,SV432: late_subject,SV186: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV186 @ ( SV432 = SV605 ) )
          | ( ( perm_n1559866809ubject @ SV186 @ SV432 )
           != ( perm_n1559866809ubject @ SV186 @ SV605 ) ) )
        = $false )
      | ( ( ( perm_n1559866809ubject @ SV186 @ SV432 )
          = ( perm_n1559866809ubject @ SV186 @ SV605 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2770]) ).

thf(3009,plain,
    ! [SV606: late_freeRes,SV433: late_freeRes,SV187: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV187 @ ( SV433 = SV606 ) )
          | ( ( perm_n336613537reeRes @ SV187 @ SV433 )
           != ( perm_n336613537reeRes @ SV187 @ SV606 ) ) )
        = $false )
      | ( ( perm_name_o @ SV187 @ ( SV433 = SV606 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2771]) ).

thf(3010,plain,
    ! [SV606: late_freeRes,SV433: late_freeRes,SV187: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV187 @ ( SV433 = SV606 ) )
          | ( ( perm_n336613537reeRes @ SV187 @ SV433 )
           != ( perm_n336613537reeRes @ SV187 @ SV606 ) ) )
        = $false )
      | ( ( ( perm_n336613537reeRes @ SV187 @ SV433 )
          = ( perm_n336613537reeRes @ SV187 @ SV606 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2772]) ).

thf(3011,plain,
    ! [SV607: pi_Rep,SV434: pi_Rep,SV188: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV188 @ ( SV434 = SV607 ) )
          | ( ( perm_name_pi_Rep @ SV188 @ SV434 )
           != ( perm_name_pi_Rep @ SV188 @ SV607 ) ) )
        = $false )
      | ( ( perm_name_o @ SV188 @ ( SV434 = SV607 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2773]) ).

thf(3012,plain,
    ! [SV607: pi_Rep,SV434: pi_Rep,SV188: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV188 @ ( SV434 = SV607 ) )
          | ( ( perm_name_pi_Rep @ SV188 @ SV434 )
           != ( perm_name_pi_Rep @ SV188 @ SV607 ) ) )
        = $false )
      | ( ( ( perm_name_pi_Rep @ SV188 @ SV434 )
          = ( perm_name_pi_Rep @ SV188 @ SV607 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2774]) ).

thf(3013,plain,
    ! [SV608: name,SV435: name,SV189: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV189 @ ( SV435 = SV608 ) )
          | ( ( perm_name_name @ SV189 @ SV435 )
           != ( perm_name_name @ SV189 @ SV608 ) ) )
        = $false )
      | ( ( perm_name_o @ SV189 @ ( SV435 = SV608 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2775]) ).

thf(3014,plain,
    ! [SV608: name,SV435: name,SV189: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV189 @ ( SV435 = SV608 ) )
          | ( ( perm_name_name @ SV189 @ SV435 )
           != ( perm_name_name @ SV189 @ SV608 ) ) )
        = $false )
      | ( ( ( perm_name_name @ SV189 @ SV435 )
          = ( perm_name_name @ SV189 @ SV608 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2776]) ).

thf(3015,plain,
    ! [SV680: pi,SV609: name,SV190: pi,SV834: name,SV436: name,SV754: pi] :
      ( ( ( ! [SY2396: pi] :
              ( ~ ( late_transitions @ SV754 @ ( late_BoundR @ ( late_InputS @ SV436 ) @ SV834 @ SY2396 ) )
              | ~ ( fresh_name_pi @ SV834 @ SV190 )
              | ~ ( fresh_name_pi @ SV834 @ SV754 )
              | ~ ( fresh_name_pi @ SV609 @ SV190 )
              | ~ ( fresh_name_pi @ SV609 @ SV754 )
              | ( SV834 = SV436 )
              | ~ ( fresh_name_pi @ SV834 @ SV680 )
              | ( SV609 = SV436 )
              | ~ ( fresh_name_pi @ SV609 @ SY2396 )
              | ( SV834 = SV609 )
              | ( late_transitions @ ( par @ SV190 @ SV754 ) @ ( late_FreeR @ late_TauR @ ( res @ SV609 @ ( par @ SV680 @ ( subs @ SY2396 @ SV834 @ SV609 ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV190 @ ( late_BoundR @ ( late_BoundOutputS @ SV436 ) @ SV609 @ SV680 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2777]) ).

thf(3016,plain,
    ! [SV681: pi,SV191: pi,SV610: name,SV835: name,SV437: name,SV755: pi] :
      ( ( ( ! [SY2397: pi] :
              ( ~ ( late_transitions @ SV755 @ ( late_BoundR @ ( late_BoundOutputS @ SV437 ) @ SV835 @ SY2397 ) )
              | ~ ( fresh_name_pi @ SV610 @ SV191 )
              | ~ ( fresh_name_pi @ SV610 @ SV755 )
              | ~ ( fresh_name_pi @ SV835 @ SV191 )
              | ~ ( fresh_name_pi @ SV835 @ SV755 )
              | ( SV610 = SV437 )
              | ~ ( fresh_name_pi @ SV610 @ SY2397 )
              | ( SV835 = SV437 )
              | ~ ( fresh_name_pi @ SV835 @ SV681 )
              | ( SV610 = SV835 )
              | ( late_transitions @ ( par @ SV191 @ SV755 ) @ ( late_FreeR @ late_TauR @ ( res @ SV835 @ ( par @ ( subs @ SV681 @ SV610 @ SV835 ) @ SY2397 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV191 @ ( late_BoundR @ ( late_InputS @ SV437 ) @ SV610 @ SV681 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2778]) ).

thf(3017,plain,
    ! [SV682: pi,SV192: pi,SV611: name,SV836: name,SV438: name,SV756: pi] :
      ( ( ( ! [SY2398: pi] :
              ( ~ ( late_transitions @ SV756 @ ( late_BoundR @ ( late_InputS @ SV438 ) @ SV836 @ SY2398 ) )
              | ~ ( fresh_name_pi @ SV611 @ SV756 )
              | ( late_transitions @ ( par @ SV192 @ SV756 ) @ ( late_FreeR @ late_TauR @ ( res @ SV611 @ ( par @ SV682 @ ( subs @ SY2398 @ SV836 @ SV611 ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV192 @ ( late_BoundR @ ( late_BoundOutputS @ SV438 ) @ SV611 @ SV682 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2779]) ).

thf(3018,plain,
    ! [SV612: name,SV683: pi,SV193: pi,SV837: name,SV439: name,SV757: pi] :
      ( ( ( ! [SY2399: pi] :
              ( ~ ( late_transitions @ SV757 @ ( late_BoundR @ ( late_BoundOutputS @ SV439 ) @ SV837 @ SY2399 ) )
              | ~ ( fresh_name_pi @ SV837 @ SV193 )
              | ( late_transitions @ ( par @ SV193 @ SV757 ) @ ( late_FreeR @ late_TauR @ ( res @ SV837 @ ( par @ ( subs @ SV683 @ SV612 @ SV837 ) @ SY2399 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV193 @ ( late_BoundR @ ( late_InputS @ SV439 ) @ SV612 @ SV683 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2780]) ).

thf(3019,plain,
    ! [SV684: pi,SV613: name,SV194: pi,SV838: name,SV440: name,SV758: pi] :
      ( ( ( ! [SY2400: pi] :
              ( ~ ( late_transitions @ SV758 @ ( late_BoundR @ ( late_InputS @ SV440 ) @ SV838 @ SY2400 ) )
              | ~ ( fresh_name_pi @ SV838 @ SV194 )
              | ~ ( fresh_name_pi @ SV838 @ SV758 )
              | ( SV838 = SV440 )
              | ( SV838 = SV613 )
              | ~ ( fresh_name_pi @ SV838 @ SV684 )
              | ( late_transitions @ ( par @ SV194 @ SV758 ) @ ( late_FreeR @ late_TauR @ ( par @ SV684 @ ( subs @ SY2400 @ SV838 @ SV613 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV194 @ ( late_FreeR @ ( late_OutputR @ SV440 @ SV613 ) @ SV684 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2781]) ).

thf(3020,plain,
    ! [SV685: pi,SV195: pi,SV614: name,SV839: name,SV441: name,SV759: pi] :
      ( ( ( ! [SY2401: pi] :
              ( ~ ( late_transitions @ SV759 @ ( late_FreeR @ ( late_OutputR @ SV441 @ SV839 ) @ SY2401 ) )
              | ~ ( fresh_name_pi @ SV614 @ SV195 )
              | ~ ( fresh_name_pi @ SV614 @ SV759 )
              | ( SV614 = SV441 )
              | ( SV614 = SV839 )
              | ~ ( fresh_name_pi @ SV614 @ SY2401 )
              | ( late_transitions @ ( par @ SV195 @ SV759 ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ SV685 @ SV614 @ SV839 ) @ SY2401 ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV195 @ ( late_BoundR @ ( late_InputS @ SV441 ) @ SV614 @ SV685 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2782]) ).

thf(3021,plain,
    ! [SV615: name,SV686: pi,SV196: pi,SV840: name,SV442: name,SV760: pi] :
      ( ( ( ! [SY2402: pi] :
              ( ~ ( late_transitions @ SV760 @ ( late_BoundR @ ( late_InputS @ SV442 ) @ SV840 @ SY2402 ) )
              | ( late_transitions @ ( par @ SV196 @ SV760 ) @ ( late_FreeR @ late_TauR @ ( par @ SV686 @ ( subs @ SY2402 @ SV840 @ SV615 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV196 @ ( late_FreeR @ ( late_OutputR @ SV442 @ SV615 ) @ SV686 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2783]) ).

thf(3022,plain,
    ! [SV616: name,SV687: pi,SV197: pi,SV841: name,SV443: name,SV761: pi] :
      ( ( ( ! [SY2403: pi] :
              ( ~ ( late_transitions @ SV761 @ ( late_FreeR @ ( late_OutputR @ SV443 @ SV841 ) @ SY2403 ) )
              | ( late_transitions @ ( par @ SV197 @ SV761 ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ SV687 @ SV616 @ SV841 ) @ SY2403 ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV197 @ ( late_BoundR @ ( late_InputS @ SV443 ) @ SV616 @ SV687 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2784]) ).

thf(3023,plain,
    ! [SV447: name,SV203: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV203 @ ( late_InputS @ SV447 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ SV203 @ ( late_InputS @ SV447 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2785]) ).

thf(3024,plain,
    ! [SV447: name,SV203: name] :
      ( ( ( ~ ( fresh_name_name @ SV203 @ SV447 ) )
        = $false )
      | ( ( fresh_717452603ubject @ SV203 @ ( late_InputS @ SV447 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2785]) ).

thf(3025,plain,
    ! [SV447: name,SV203: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV203 @ ( late_InputS @ SV447 ) ) )
        = $false )
      | ( ( fresh_name_name @ SV203 @ SV447 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2786]) ).

thf(3026,plain,
    ! [SV447: name,SV203: name] :
      ( ( ( ~ ( fresh_name_name @ SV203 @ SV447 ) )
        = $false )
      | ( ( fresh_name_name @ SV203 @ SV447 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2786]) ).

thf(3027,plain,
    ! [SV620: name,SV449: name,SV205: list_P227219501e_name] :
      ( ( ( ( ( perm_name_name @ SV205 @ SV449 )
           != ( perm_name_name @ SV205 @ SV620 ) )
          | ( SV449 != SV620 ) )
        = $false )
      | ( ( ( perm_name_name @ SV205 @ SV449 )
          = ( perm_name_name @ SV205 @ SV620 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2787]) ).

thf(3028,plain,
    ! [SV620: name,SV449: name,SV205: list_P227219501e_name] :
      ( ( ( ( ( perm_name_name @ SV205 @ SV449 )
           != ( perm_name_name @ SV205 @ SV620 ) )
          | ( SV449 != SV620 ) )
        = $false )
      | ( ( SV449 = SV620 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2788]) ).

thf(3029,plain,
    ! [SV689: pi,SV450: late_freeRes,SV206: pi,SV788: name] :
      ( ( ( fresh_name_pi @ SV788 @ SV206 )
        = $false )
      | ( ( fresh_1641682979reeRes @ SV788 @ SV450 )
        = $true )
      | ( ( late_transitions @ SV206 @ ( late_FreeR @ SV450 @ SV689 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2789]) ).

thf(3030,plain,
    ! [SV690: name,SV621: late_subject,SV452: pi,SV209: pi,SV762: set_Pr1834926343_pi_pi] :
      ( ( ( ~ ( eqvt_pi @ SV762 ) )
        = $true )
      | ( ( ! [SY2353: list_P227219501e_name] : ( strong2129052853vative @ ( perm_name_pi @ SY2353 @ SV209 ) @ ( perm_name_pi @ SY2353 @ SV452 ) @ ( perm_n1559866809ubject @ SY2353 @ SV621 ) @ ( perm_name_name @ SY2353 @ SV690 ) @ SV762 ) )
        = $true )
      | ( ( strong2129052853vative @ SV209 @ SV452 @ SV621 @ SV690 @ SV762 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2790]) ).

thf(3031,plain,
    ! [SV691: name,SV453: name] :
      ( ( ( fresh_name_name @ SV453 @ SV691 )
        = $false )
      | ( ( ~ ( ~ ( fresh_name_name @ SV453 @ SV691 )
              | ~ ( ( SV453 != SV691 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2791]) ).

thf(3032,plain,
    ! [SV691: name,SV453: name] :
      ( ( ( SV453 != SV691 )
        = $false )
      | ( ( ~ ( ~ ( fresh_name_name @ SV453 @ SV691 )
              | ~ ( ( SV453 != SV691 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2791]) ).

thf(3033,plain,
    ! [SV459: name,SV218: name] :
      ( ( ( ( late_InputS @ SV218 )
         != ( late_InputS @ SV459 ) )
        = $false )
      | ( ( ( late_InputS @ SV218 )
          = ( late_InputS @ SV459 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2792]) ).

thf(3034,plain,
    ! [SV459: name,SV218: name] :
      ( ( ( SV218 != SV459 )
        = $false )
      | ( ( ( late_InputS @ SV218 )
          = ( late_InputS @ SV459 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2792]) ).

thf(3035,plain,
    ! [SV459: name,SV218: name] :
      ( ( ( ( late_InputS @ SV218 )
         != ( late_InputS @ SV459 ) )
        = $false )
      | ( ( SV218 = SV459 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2793]) ).

thf(3036,plain,
    ! [SV459: name,SV218: name] :
      ( ( ( SV218 != SV459 )
        = $false )
      | ( ( SV218 = SV459 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2793]) ).

thf(3037,plain,
    ! [SV624: pi,SV462: name,SV224: name] :
      ( ( ( ~ ( fresh_name_pi @ SV224 @ ( res @ SV462 @ SV624 ) )
          | ~ ( fresh_543891186ion_pi @ SV224 @ ( abs_fun_name_pi @ SV462 @ SV624 ) ) )
        = $false )
      | ( ( fresh_name_pi @ SV224 @ ( res @ SV462 @ SV624 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2794]) ).

thf(3038,plain,
    ! [SV624: pi,SV462: name,SV224: name] :
      ( ( ( ~ ( fresh_name_pi @ SV224 @ ( res @ SV462 @ SV624 ) )
          | ~ ( fresh_543891186ion_pi @ SV224 @ ( abs_fun_name_pi @ SV462 @ SV624 ) ) )
        = $false )
      | ( ( fresh_543891186ion_pi @ SV224 @ ( abs_fun_name_pi @ SV462 @ SV624 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2795]) ).

thf(3039,plain,
    ! [SV842: pi,SV228: pi > late_residual > $o] :
      ( ( ( ! [SY2404: late_residual] : ( SV228 @ SV842 @ SY2404 ) )
        = $true )
      | ( ( SV228 @ ( sK33_SY1010 @ SV228 ) @ ( late_FreeR @ ( sK31_FreeRes2 @ SV228 ) @ ( sK32_SY1008 @ SV228 ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK35_SY1011 @ SV228 ) @ ( sK37_SY1016 @ SV228 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2796]) ).

thf(3040,plain,
    ! [SV228: pi > late_residual > $o] :
      ( ( ( fresh_717452603ubject @ ( sK35_SY1011 @ SV228 ) @ ( sK34_Subject2 @ SV228 ) )
        = $true )
      | ( ( ~ ( SV228 @ ( sK33_SY1010 @ SV228 ) @ ( late_FreeR @ ( sK31_FreeRes2 @ SV228 ) @ ( sK32_SY1008 @ SV228 ) ) )
          | ! [SY1593: pi,SY1594: late_residual] : ( SV228 @ SY1593 @ SY1594 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2797]) ).

thf(3041,plain,
    ! [SV228: pi > late_residual > $o] :
      ( ( ( ~ ( SV228 @ ( sK37_SY1016 @ SV228 ) @ ( late_BoundR @ ( sK34_Subject2 @ SV228 ) @ ( sK35_SY1011 @ SV228 ) @ ( sK36_SY1014 @ SV228 ) ) ) )
        = $true )
      | ( ( ~ ( SV228 @ ( sK33_SY1010 @ SV228 ) @ ( late_FreeR @ ( sK31_FreeRes2 @ SV228 ) @ ( sK32_SY1008 @ SV228 ) ) )
          | ! [SY1593: pi,SY1594: late_residual] : ( SV228 @ SY1593 @ SY1594 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2798]) ).

thf(3042,plain,
    ! [SV625: late_subject,SV695: name,SV767: pi,SV465: pi,SV229: pi] :
      ( ( ( ~ ( ( ( par @ SV229 @ SV465 )
               != ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                     != ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( par @ SV229 @ SV465 )
               != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                     != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2799]) ).

thf(3043,plain,
    ! [SV768: pi,SV626: late_subject,SV466: pi,SV230: pi,SV696: name] :
      ( ( ( ~ ( fresh_name_pi @ SV696 @ SV230 ) )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV696 @ SV466 )
          | ! [SY2354: pi > $o] :
              ( ~ ( ~ ( late_transitions @ SV230 @ ( late_BoundR @ SV626 @ SV696 @ ( sK95_P4 @ SY2354 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
                  | ~ ~ ( SY2354 @ ( par @ ( sK95_P4 @ SY2354 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) @ SV466 ) ) )
              | ~ ( ~ ( late_transitions @ SV466 @ ( late_BoundR @ SV626 @ SV696 @ ( sK94_Q4 @ SY2354 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
                  | ~ ~ ( SY2354 @ ( par @ SV230 @ ( sK94_Q4 @ SY2354 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) ) )
              | ( SY2354 @ SV768 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SV626 @ SV696 @ SV768 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2800]) ).

thf(3044,plain,
    ! [SV843: produc1141751126_pi_pi,SV231: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( ! [SY2405: late_residual] : ( SV231 @ SV843 @ SY2405 ) )
        = $true )
      | ( ( SV231 @ ( sK19_SY992 @ SV231 ) @ ( late_FreeR @ ( sK17_FreeRes2 @ SV231 ) @ ( sK18_SY990 @ SV231 ) ) )
        = $false )
      | ( ( fresh_1376661020_pi_pi @ ( sK21_SY993 @ SV231 ) @ ( sK23_SY998 @ SV231 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2801]) ).

thf(3045,plain,
    ! [SV231: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( fresh_717452603ubject @ ( sK21_SY993 @ SV231 ) @ ( sK20_Subject2 @ SV231 ) )
        = $true )
      | ( ( ~ ( SV231 @ ( sK19_SY992 @ SV231 ) @ ( late_FreeR @ ( sK17_FreeRes2 @ SV231 ) @ ( sK18_SY990 @ SV231 ) ) )
          | ! [SY1604: produc1141751126_pi_pi,SY1605: late_residual] : ( SV231 @ SY1604 @ SY1605 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2802]) ).

thf(3046,plain,
    ! [SV231: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( ~ ( SV231 @ ( sK23_SY998 @ SV231 ) @ ( late_BoundR @ ( sK20_Subject2 @ SV231 ) @ ( sK21_SY993 @ SV231 ) @ ( sK22_SY996 @ SV231 ) ) ) )
        = $true )
      | ( ( ~ ( SV231 @ ( sK19_SY992 @ SV231 ) @ ( late_FreeR @ ( sK17_FreeRes2 @ SV231 ) @ ( sK18_SY990 @ SV231 ) ) )
          | ! [SY1604: produc1141751126_pi_pi,SY1605: late_residual] : ( SV231 @ SY1604 @ SY1605 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2803]) ).

thf(3047,plain,
    ! [SV627: late_subject,SV697: name,SV769: pi,SV467: pi,SV232: name] :
      ( ( ( ~ ( ( ( res @ SV232 @ SV467 )
               != ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                     != ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                          | ~ ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                               != ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV232 @ SV467 )
               != ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                     != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                           != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2804]) ).

thf(3048,plain,
    ! [SV844: late_freeRes,SV233: $o,SV468: list_P227219501e_name] :
      ( ( ( ! [SY2406: late_freeRes] :
              ( ( perm_n336613537reeRes @ SV468 @ ( if_Late_freeRes @ SV233 @ SV844 @ SY2406 ) )
              = ( perm_n336613537reeRes @ SV468 @ SV844 ) ) )
        = $true )
      | ( SV233 = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2805]) ).

thf(3049,plain,
    ! [SV845: late_freeRes,SV800: late_freeRes,SV233: $o,SV468: list_P227219501e_name] :
      ( ( ( ( perm_n336613537reeRes @ SV468 @ ( if_Late_freeRes @ SV233 @ SV800 @ SV845 ) )
          = ( perm_n336613537reeRes @ SV468 @ SV845 ) )
        = $true )
      | ( SV233 = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2806]) ).

thf(3050,plain,
    ! [SV846: late_freeRes,SV469: list_P227219501e_name] :
      ( ( ( ! [SY2407: late_freeRes] :
              ( ( perm_n336613537reeRes @ SV469 @ ( if_Late_freeRes @ $true @ SV846 @ SY2407 ) )
              = ( perm_n336613537reeRes @ SV469 @ SV846 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2807]) ).

thf(3051,plain,
    ! [SV847: late_freeRes,SV801: late_freeRes,SV469: list_P227219501e_name] :
      ( ( ( ( perm_n336613537reeRes @ SV469 @ ( if_Late_freeRes @ $true @ SV801 @ SV847 ) )
          = ( perm_n336613537reeRes @ SV469 @ SV847 ) )
        = $true )
      | ( $true = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2808]) ).

thf(3052,plain,
    ! [SV848: late_freeRes,SV470: list_P227219501e_name] :
      ( ( ( ! [SY2408: late_freeRes] :
              ( ( perm_n336613537reeRes @ SV470 @ ( if_Late_freeRes @ $false @ SV848 @ SY2408 ) )
              = ( perm_n336613537reeRes @ SV470 @ SV848 ) ) )
        = $true )
      | ( $false = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2809]) ).

thf(3053,plain,
    ! [SV849: late_freeRes,SV802: late_freeRes,SV470: list_P227219501e_name] :
      ( ( ( ( perm_n336613537reeRes @ SV470 @ ( if_Late_freeRes @ $false @ SV802 @ SV849 ) )
          = ( perm_n336613537reeRes @ SV470 @ SV849 ) )
        = $true )
      | ( $false = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2810]) ).

thf(3054,plain,
    ! [SV628: pi,SV471: late_freeRes,SV234: name] :
      ( ( ( ~ ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SV628 ) )
          | ~ ~ ( ~ ( fresh_1641682979reeRes @ SV234 @ SV471 )
                | ~ ( fresh_name_pi @ SV234 @ SV628 ) ) )
        = $false )
      | ( ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SV628 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2811]) ).

thf(3055,plain,
    ! [SV628: pi,SV471: late_freeRes,SV234: name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ SV234 @ SV471 )
          | ~ ( fresh_name_pi @ SV234 @ SV628 ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SV628 ) )
              | ~ ~ ( ~ ( fresh_1641682979reeRes @ SV234 @ SV471 )
                    | ~ ( fresh_name_pi @ SV234 @ SV628 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2812]) ).

thf(3056,plain,
    ! [SV850: pi,SV235: $o,SV472: list_P227219501e_name] :
      ( ( ( ! [SY2409: pi] :
              ( ( perm_name_pi @ SV472 @ ( if_pi @ SV235 @ SV850 @ SY2409 ) )
              = ( perm_name_pi @ SV472 @ SV850 ) ) )
        = $true )
      | ( SV235 = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2813]) ).

thf(3057,plain,
    ! [SV851: pi,SV803: pi,SV235: $o,SV472: list_P227219501e_name] :
      ( ( ( ( perm_name_pi @ SV472 @ ( if_pi @ SV235 @ SV803 @ SV851 ) )
          = ( perm_name_pi @ SV472 @ SV851 ) )
        = $true )
      | ( SV235 = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2814]) ).

thf(3058,plain,
    ! [SV852: pi,SV473: list_P227219501e_name] :
      ( ( ( ! [SY2410: pi] :
              ( ( perm_name_pi @ SV473 @ ( if_pi @ $true @ SV852 @ SY2410 ) )
              = ( perm_name_pi @ SV473 @ SV852 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2815]) ).

thf(3059,plain,
    ! [SV853: pi,SV804: pi,SV473: list_P227219501e_name] :
      ( ( ( ( perm_name_pi @ SV473 @ ( if_pi @ $true @ SV804 @ SV853 ) )
          = ( perm_name_pi @ SV473 @ SV853 ) )
        = $true )
      | ( $true = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2816]) ).

thf(3060,plain,
    ! [SV854: pi,SV474: list_P227219501e_name] :
      ( ( ( ! [SY2411: pi] :
              ( ( perm_name_pi @ SV474 @ ( if_pi @ $false @ SV854 @ SY2411 ) )
              = ( perm_name_pi @ SV474 @ SV854 ) ) )
        = $true )
      | ( $false = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2817]) ).

thf(3061,plain,
    ! [SV855: pi,SV805: pi,SV474: list_P227219501e_name] :
      ( ( ( ( perm_name_pi @ SV474 @ ( if_pi @ $false @ SV805 @ SV855 ) )
          = ( perm_name_pi @ SV474 @ SV855 ) )
        = $true )
      | ( $false = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2818]) ).

thf(3062,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                           != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
          | ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2819]) ).

thf(3063,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
                           != ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                           != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
          | ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2819]) ).

thf(3064,plain,
    ! [SV856: late_freeRes,SV476: $o,SV237: list_P227219501e_name] :
      ( ( ( ! [SY2412: late_freeRes] :
              ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ SV476 @ SV856 @ SY2412 ) )
              = ( perm_n336613537reeRes @ SV237 @ SV856 ) ) )
        = $true )
      | ( ( perm_name_o @ SV237 @ SV476 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2820]) ).

thf(3065,plain,
    ! [SV857: late_freeRes,SV806: late_freeRes,SV476: $o,SV237: list_P227219501e_name] :
      ( ( ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ SV476 @ SV806 @ SV857 ) )
          = ( perm_n336613537reeRes @ SV237 @ SV857 ) )
        = $true )
      | ( ( perm_name_o @ SV237 @ SV476 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2821]) ).

thf(3066,plain,
    ! [SV858: late_freeRes,SV237: list_P227219501e_name] :
      ( ( ( ! [SY2413: late_freeRes] :
              ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ $true @ SV858 @ SY2413 ) )
              = ( perm_n336613537reeRes @ SV237 @ SV858 ) ) )
        = $true )
      | ( ( perm_name_o @ SV237 @ $true )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2822]) ).

thf(3067,plain,
    ! [SV859: late_freeRes,SV807: late_freeRes,SV237: list_P227219501e_name] :
      ( ( ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ $true @ SV807 @ SV859 ) )
          = ( perm_n336613537reeRes @ SV237 @ SV859 ) )
        = $true )
      | ( ( perm_name_o @ SV237 @ $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2823]) ).

thf(3068,plain,
    ! [SV860: late_freeRes,SV237: list_P227219501e_name] :
      ( ( ( ! [SY2414: late_freeRes] :
              ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ $false @ SV860 @ SY2414 ) )
              = ( perm_n336613537reeRes @ SV237 @ SV860 ) ) )
        = $true )
      | ( ( perm_name_o @ SV237 @ $false )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2824]) ).

thf(3069,plain,
    ! [SV861: late_freeRes,SV808: late_freeRes,SV237: list_P227219501e_name] :
      ( ( ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ $false @ SV808 @ SV861 ) )
          = ( perm_n336613537reeRes @ SV237 @ SV861 ) )
        = $true )
      | ( ( perm_name_o @ SV237 @ $false )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2825]) ).

thf(3070,plain,
    ! [SV630: name,SV477: name,SV238: name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SV630 ) )
          | ~ ~ ( ~ ( fresh_name_name @ SV238 @ SV477 )
                | ~ ( fresh_name_name @ SV238 @ SV630 ) ) )
        = $false )
      | ( ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SV630 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2826]) ).

thf(3071,plain,
    ! [SV630: name,SV477: name,SV238: name] :
      ( ( ( ~ ( fresh_name_name @ SV238 @ SV477 )
          | ~ ( fresh_name_name @ SV238 @ SV630 ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SV630 ) )
              | ~ ~ ( ~ ( fresh_name_name @ SV238 @ SV477 )
                    | ~ ( fresh_name_name @ SV238 @ SV630 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2827]) ).

thf(3072,plain,
    ! [SV862: pi_Rep,SV478: $o,SV239: list_P227219501e_name] :
      ( ( ( ! [SY2415: pi_Rep] :
              ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ SV478 @ SV862 @ SY2415 ) )
              = ( perm_name_pi_Rep @ SV239 @ SV862 ) ) )
        = $true )
      | ( ( perm_name_o @ SV239 @ SV478 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2828]) ).

thf(3073,plain,
    ! [SV863: pi_Rep,SV809: pi_Rep,SV478: $o,SV239: list_P227219501e_name] :
      ( ( ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ SV478 @ SV809 @ SV863 ) )
          = ( perm_name_pi_Rep @ SV239 @ SV863 ) )
        = $true )
      | ( ( perm_name_o @ SV239 @ SV478 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2829]) ).

thf(3074,plain,
    ! [SV864: pi_Rep,SV239: list_P227219501e_name] :
      ( ( ( ! [SY2416: pi_Rep] :
              ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ $true @ SV864 @ SY2416 ) )
              = ( perm_name_pi_Rep @ SV239 @ SV864 ) ) )
        = $true )
      | ( ( perm_name_o @ SV239 @ $true )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2830]) ).

thf(3075,plain,
    ! [SV865: pi_Rep,SV810: pi_Rep,SV239: list_P227219501e_name] :
      ( ( ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ $true @ SV810 @ SV865 ) )
          = ( perm_name_pi_Rep @ SV239 @ SV865 ) )
        = $true )
      | ( ( perm_name_o @ SV239 @ $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2831]) ).

thf(3076,plain,
    ! [SV866: pi_Rep,SV239: list_P227219501e_name] :
      ( ( ( ! [SY2417: pi_Rep] :
              ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ $false @ SV866 @ SY2417 ) )
              = ( perm_name_pi_Rep @ SV239 @ SV866 ) ) )
        = $true )
      | ( ( perm_name_o @ SV239 @ $false )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2832]) ).

thf(3077,plain,
    ! [SV867: pi_Rep,SV811: pi_Rep,SV239: list_P227219501e_name] :
      ( ( ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ $false @ SV811 @ SV867 ) )
          = ( perm_name_pi_Rep @ SV239 @ SV867 ) )
        = $true )
      | ( ( perm_name_o @ SV239 @ $false )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2833]) ).

thf(3078,plain,
    ! [SV698: list_P227219501e_name,SV631: produc367475239e_name,SV479: list_P227219501e_name,SV240: produc367475239e_name] :
      ( ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
          = ( cons_P1213805021e_name @ SV631 @ SV698 ) )
        = $false )
      | ( ( ~ ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
               != ( cons_P1213805021e_name @ SV631 @ SV698 ) )
              | ~ ~ ( ( SV240 != SV631 )
                    | ( SV479 != SV698 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2834]) ).

thf(3079,plain,
    ! [SV698: list_P227219501e_name,SV479: list_P227219501e_name,SV631: produc367475239e_name,SV240: produc367475239e_name] :
      ( ( ( ~ ( ( SV240 != SV631 )
              | ( SV479 != SV698 ) ) )
        = $false )
      | ( ( ~ ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
               != ( cons_P1213805021e_name @ SV631 @ SV698 ) )
              | ~ ~ ( ( SV240 != SV631 )
                    | ( SV479 != SV698 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2834]) ).

thf(3080,plain,
    ! [SV868: produc1141751126_pi_pi,SV241: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( ! [SY2418: late_residual] : ( SV241 @ SV868 @ SY2418 ) )
        = $true )
      | ( ( SV241 @ ( sK47_SY1028 @ SV241 ) @ ( late_FreeR @ ( sK45_FreeRes2 @ SV241 ) @ ( sK46_SY1026 @ SV241 ) ) )
        = $false )
      | ( ( fresh_1376661020_pi_pi @ ( sK49_SY1029 @ SV241 ) @ ( sK51_SY1034 @ SV241 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2835]) ).

thf(3081,plain,
    ! [SV241: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( fresh_717452603ubject @ ( sK49_SY1029 @ SV241 ) @ ( sK48_Subject2 @ SV241 ) )
        = $true )
      | ( ( ~ ( SV241 @ ( sK47_SY1028 @ SV241 ) @ ( late_FreeR @ ( sK45_FreeRes2 @ SV241 ) @ ( sK46_SY1026 @ SV241 ) ) )
          | ! [SY1639: produc1141751126_pi_pi,SY1640: late_residual] : ( SV241 @ SY1639 @ SY1640 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2836]) ).

thf(3082,plain,
    ! [SV241: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( ~ ( SV241 @ ( sK51_SY1034 @ SV241 ) @ ( late_BoundR @ ( sK48_Subject2 @ SV241 ) @ ( sK49_SY1029 @ SV241 ) @ ( sK50_SY1032 @ SV241 ) ) ) )
        = $true )
      | ( ( ~ ( SV241 @ ( sK47_SY1028 @ SV241 ) @ ( late_FreeR @ ( sK45_FreeRes2 @ SV241 ) @ ( sK46_SY1026 @ SV241 ) ) )
          | ! [SY1639: produc1141751126_pi_pi,SY1640: late_residual] : ( SV241 @ SY1639 @ SY1640 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2837]) ).

thf(3083,plain,
    ! [SV632: pi,SV480: pi,SV242: name] :
      ( ( ( ~ ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SV632 ) )
          | ~ ~ ( ~ ( fresh_name_pi @ SV242 @ SV480 )
                | ~ ( fresh_name_pi @ SV242 @ SV632 ) ) )
        = $false )
      | ( ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SV632 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2838]) ).

thf(3084,plain,
    ! [SV632: pi,SV480: pi,SV242: name] :
      ( ( ( ~ ( fresh_name_pi @ SV242 @ SV480 )
          | ~ ( fresh_name_pi @ SV242 @ SV632 ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SV632 ) )
              | ~ ~ ( ~ ( fresh_name_pi @ SV242 @ SV480 )
                    | ~ ( fresh_name_pi @ SV242 @ SV632 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2839]) ).

thf(3085,plain,
    ! [SV699: name,SV633: name,SV481: name,SV243: name] :
      ( ( ( ( late_OutputR @ SV243 @ SV481 )
          = ( late_OutputR @ SV633 @ SV699 ) )
        = $false )
      | ( ( ~ ( ( ( late_OutputR @ SV243 @ SV481 )
               != ( late_OutputR @ SV633 @ SV699 ) )
              | ~ ~ ( ( SV243 != SV633 )
                    | ( SV481 != SV699 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2840]) ).

thf(3086,plain,
    ! [SV699: name,SV481: name,SV633: name,SV243: name] :
      ( ( ( ~ ( ( SV243 != SV633 )
              | ( SV481 != SV699 ) ) )
        = $false )
      | ( ( ~ ( ( ( late_OutputR @ SV243 @ SV481 )
               != ( late_OutputR @ SV633 @ SV699 ) )
              | ~ ~ ( ( SV243 != SV633 )
                    | ( SV481 != SV699 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2840]) ).

thf(3087,plain,
    ! [SV869: product_unit,SV244: product_unit > late_residual > $o] :
      ( ( ( ! [SY2419: late_residual] : ( SV244 @ SV869 @ SY2419 ) )
        = $true )
      | ( ( SV244 @ ( sK54_SY1037 @ SV244 ) @ ( late_FreeR @ ( sK52_FreeRes2 @ SV244 ) @ ( sK53_SY1035 @ SV244 ) ) )
        = $false )
      | ( ( fresh_1143631827t_unit @ ( sK56_SY1038 @ SV244 ) @ ( sK58_SY1043 @ SV244 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2841]) ).

thf(3088,plain,
    ! [SV244: product_unit > late_residual > $o] :
      ( ( ( fresh_717452603ubject @ ( sK56_SY1038 @ SV244 ) @ ( sK55_Subject2 @ SV244 ) )
        = $true )
      | ( ( ~ ( SV244 @ ( sK54_SY1037 @ SV244 ) @ ( late_FreeR @ ( sK52_FreeRes2 @ SV244 ) @ ( sK53_SY1035 @ SV244 ) ) )
          | ! [SY1646: product_unit,SY1647: late_residual] : ( SV244 @ SY1646 @ SY1647 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2842]) ).

thf(3089,plain,
    ! [SV244: product_unit > late_residual > $o] :
      ( ( ( ~ ( SV244 @ ( sK58_SY1043 @ SV244 ) @ ( late_BoundR @ ( sK55_Subject2 @ SV244 ) @ ( sK56_SY1038 @ SV244 ) @ ( sK57_SY1041 @ SV244 ) ) ) )
        = $true )
      | ( ( ~ ( SV244 @ ( sK54_SY1037 @ SV244 ) @ ( late_FreeR @ ( sK52_FreeRes2 @ SV244 ) @ ( sK53_SY1035 @ SV244 ) ) )
          | ! [SY1646: product_unit,SY1647: late_residual] : ( SV244 @ SY1646 @ SY1647 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2843]) ).

thf(3090,plain,
    ! [SV870: name,SV245: name > late_residual > $o] :
      ( ( ( ! [SY2420: late_residual] : ( SV245 @ SV870 @ SY2420 ) )
        = $true )
      | ( ( SV245 @ ( sK12_SY983 @ SV245 ) @ ( late_FreeR @ ( sK10_FreeRes2 @ SV245 ) @ ( sK11_SY981 @ SV245 ) ) )
        = $false )
      | ( ( fresh_name_name @ ( sK14_SY984 @ SV245 ) @ ( sK16_SY989 @ SV245 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2844]) ).

thf(3091,plain,
    ! [SV245: name > late_residual > $o] :
      ( ( ( fresh_717452603ubject @ ( sK14_SY984 @ SV245 ) @ ( sK13_Subject2 @ SV245 ) )
        = $true )
      | ( ( ~ ( SV245 @ ( sK12_SY983 @ SV245 ) @ ( late_FreeR @ ( sK10_FreeRes2 @ SV245 ) @ ( sK11_SY981 @ SV245 ) ) )
          | ! [SY1648: name,SY1649: late_residual] : ( SV245 @ SY1648 @ SY1649 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2845]) ).

thf(3092,plain,
    ! [SV245: name > late_residual > $o] :
      ( ( ( ~ ( SV245 @ ( sK16_SY989 @ SV245 ) @ ( late_BoundR @ ( sK13_Subject2 @ SV245 ) @ ( sK14_SY984 @ SV245 ) @ ( sK15_SY987 @ SV245 ) ) ) )
        = $true )
      | ( ( ~ ( SV245 @ ( sK12_SY983 @ SV245 ) @ ( late_FreeR @ ( sK10_FreeRes2 @ SV245 ) @ ( sK11_SY981 @ SV245 ) ) )
          | ! [SY1648: name,SY1649: late_residual] : ( SV245 @ SY1648 @ SY1649 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2846]) ).

thf(3093,plain,
    ! [SV634: list_pi,SV482: pi,SV246: name] :
      ( ( ( ~ ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SV634 ) )
          | ~ ~ ( ~ ( fresh_name_list_pi @ SV246 @ SV634 )
                | ~ ( fresh_name_pi @ SV246 @ SV482 ) ) )
        = $false )
      | ( ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SV634 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2847]) ).

thf(3094,plain,
    ! [SV482: pi,SV634: list_pi,SV246: name] :
      ( ( ( ~ ( fresh_name_list_pi @ SV246 @ SV634 )
          | ~ ( fresh_name_pi @ SV246 @ SV482 ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SV634 ) )
              | ~ ~ ( ~ ( fresh_name_list_pi @ SV246 @ SV634 )
                    | ~ ( fresh_name_pi @ SV246 @ SV482 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2848]) ).

thf(3095,plain,
    ! [SV871: name,SV247: $o,SV483: list_P227219501e_name] :
      ( ( ( ! [SY2421: name] :
              ( ( perm_name_name @ SV483 @ ( if_name @ SV247 @ SV871 @ SY2421 ) )
              = ( perm_name_name @ SV483 @ SV871 ) ) )
        = $true )
      | ( SV247 = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2849]) ).

thf(3096,plain,
    ! [SV872: name,SV812: name,SV247: $o,SV483: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV483 @ ( if_name @ SV247 @ SV812 @ SV872 ) )
          = ( perm_name_name @ SV483 @ SV872 ) )
        = $true )
      | ( SV247 = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2850]) ).

thf(3097,plain,
    ! [SV873: name,SV484: list_P227219501e_name] :
      ( ( ( ! [SY2422: name] :
              ( ( perm_name_name @ SV484 @ ( if_name @ $true @ SV873 @ SY2422 ) )
              = ( perm_name_name @ SV484 @ SV873 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2851]) ).

thf(3098,plain,
    ! [SV874: name,SV813: name,SV484: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV484 @ ( if_name @ $true @ SV813 @ SV874 ) )
          = ( perm_name_name @ SV484 @ SV874 ) )
        = $true )
      | ( $true = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2852]) ).

thf(3099,plain,
    ! [SV875: name,SV485: list_P227219501e_name] :
      ( ( ( ! [SY2423: name] :
              ( ( perm_name_name @ SV485 @ ( if_name @ $false @ SV875 @ SY2423 ) )
              = ( perm_name_name @ SV485 @ SV875 ) ) )
        = $true )
      | ( $false = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2853]) ).

thf(3100,plain,
    ! [SV876: name,SV814: name,SV485: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV485 @ ( if_name @ $false @ SV814 @ SV876 ) )
          = ( perm_name_name @ SV485 @ SV876 ) )
        = $true )
      | ( $false = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2854]) ).

thf(3101,plain,
    ! [SV877: late_subject,SV486: $o,SV248: list_P227219501e_name] :
      ( ( ( ! [SY2424: late_subject] :
              ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ SV486 @ SV877 @ SY2424 ) )
              = ( perm_n1559866809ubject @ SV248 @ SV877 ) ) )
        = $true )
      | ( ( perm_name_o @ SV248 @ SV486 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2855]) ).

thf(3102,plain,
    ! [SV878: late_subject,SV815: late_subject,SV486: $o,SV248: list_P227219501e_name] :
      ( ( ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ SV486 @ SV815 @ SV878 ) )
          = ( perm_n1559866809ubject @ SV248 @ SV878 ) )
        = $true )
      | ( ( perm_name_o @ SV248 @ SV486 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2856]) ).

thf(3103,plain,
    ! [SV879: late_subject,SV248: list_P227219501e_name] :
      ( ( ( ! [SY2425: late_subject] :
              ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ $true @ SV879 @ SY2425 ) )
              = ( perm_n1559866809ubject @ SV248 @ SV879 ) ) )
        = $true )
      | ( ( perm_name_o @ SV248 @ $true )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2857]) ).

thf(3104,plain,
    ! [SV880: late_subject,SV816: late_subject,SV248: list_P227219501e_name] :
      ( ( ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ $true @ SV816 @ SV880 ) )
          = ( perm_n1559866809ubject @ SV248 @ SV880 ) )
        = $true )
      | ( ( perm_name_o @ SV248 @ $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2858]) ).

thf(3105,plain,
    ! [SV881: late_subject,SV248: list_P227219501e_name] :
      ( ( ( ! [SY2426: late_subject] :
              ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ $false @ SV881 @ SY2426 ) )
              = ( perm_n1559866809ubject @ SV248 @ SV881 ) ) )
        = $true )
      | ( ( perm_name_o @ SV248 @ $false )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2859]) ).

thf(3106,plain,
    ! [SV882: late_subject,SV817: late_subject,SV248: list_P227219501e_name] :
      ( ( ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ $false @ SV817 @ SV882 ) )
          = ( perm_n1559866809ubject @ SV248 @ SV882 ) )
        = $true )
      | ( ( perm_name_o @ SV248 @ $false )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2860]) ).

thf(3107,plain,
    ! [SV883: pi,SV487: $o,SV249: list_P227219501e_name] :
      ( ( ( ! [SY2427: pi] :
              ( ( perm_name_pi @ SV249 @ ( if_pi @ SV487 @ SV883 @ SY2427 ) )
              = ( perm_name_pi @ SV249 @ SV883 ) ) )
        = $true )
      | ( ( perm_name_o @ SV249 @ SV487 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2861]) ).

thf(3108,plain,
    ! [SV884: pi,SV818: pi,SV487: $o,SV249: list_P227219501e_name] :
      ( ( ( ( perm_name_pi @ SV249 @ ( if_pi @ SV487 @ SV818 @ SV884 ) )
          = ( perm_name_pi @ SV249 @ SV884 ) )
        = $true )
      | ( ( perm_name_o @ SV249 @ SV487 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2862]) ).

thf(3109,plain,
    ! [SV885: pi,SV249: list_P227219501e_name] :
      ( ( ( ! [SY2428: pi] :
              ( ( perm_name_pi @ SV249 @ ( if_pi @ $true @ SV885 @ SY2428 ) )
              = ( perm_name_pi @ SV249 @ SV885 ) ) )
        = $true )
      | ( ( perm_name_o @ SV249 @ $true )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2863]) ).

thf(3110,plain,
    ! [SV886: pi,SV819: pi,SV249: list_P227219501e_name] :
      ( ( ( ( perm_name_pi @ SV249 @ ( if_pi @ $true @ SV819 @ SV886 ) )
          = ( perm_name_pi @ SV249 @ SV886 ) )
        = $true )
      | ( ( perm_name_o @ SV249 @ $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2864]) ).

thf(3111,plain,
    ! [SV887: pi,SV249: list_P227219501e_name] :
      ( ( ( ! [SY2429: pi] :
              ( ( perm_name_pi @ SV249 @ ( if_pi @ $false @ SV887 @ SY2429 ) )
              = ( perm_name_pi @ SV249 @ SV887 ) ) )
        = $true )
      | ( ( perm_name_o @ SV249 @ $false )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2865]) ).

thf(3112,plain,
    ! [SV888: pi,SV820: pi,SV249: list_P227219501e_name] :
      ( ( ( ( perm_name_pi @ SV249 @ ( if_pi @ $false @ SV820 @ SV888 ) )
          = ( perm_name_pi @ SV249 @ SV888 ) )
        = $true )
      | ( ( perm_name_o @ SV249 @ $false )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2866]) ).

thf(3113,plain,
    ! [SV770: name,SV700: late_subject,SV635: pi,SV488: name,SV250: name] :
      ( ( ! [SY2355: pi] :
            ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SY2355 ) )
            | ( SV770 = SV250 )
            | ( SV770 = SV488 )
            | ~ ( fresh_name_pi @ SV770 @ SV635 )
            | ( SV700
              = ( late_InputS @ SV250 ) )
            | ! [SY2356: late_subject > name > pi > $o] : ( SY2356 @ SV700 @ SV770 @ SY2355 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2867]) ).

thf(3114,plain,
    ! [SV770: name,SV700: late_subject,SV635: pi,SV488: name,SV250: name] :
      ( ( ~ ( ~ ! [SY2357: pi] :
                  ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SY2357 ) )
                  | ( SV770 = SV250 )
                  | ( SV770 = SV488 )
                  | ~ ( fresh_name_pi @ SV770 @ SV635 )
                  | ( SY2357
                    = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
                  | ! [SY2358: late_subject > name > pi > $o] : ( SY2358 @ SV700 @ SV770 @ SY2357 ) )
            | ~ ! [SY2359: pi] :
                  ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SY2359 ) )
                  | ( SV770 = SV250 )
                  | ( SV770 = SV488 )
                  | ~ ( fresh_name_pi @ SV770 @ SV635 )
                  | ! [SY2360: late_subject > name > pi > $o] :
                      ( ~ ( SY2360 @ ( late_InputS @ SV250 ) @ SV770 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
                      | ( SY2360 @ SV700 @ SV770 @ SY2359 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2868]) ).

thf(3115,plain,
    ! [SV636: name,SV489: name,SV251: name] :
      ( ( ( ~ ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SV636 ) )
          | ~ ~ ( ~ ( fresh_name_name @ SV251 @ SV489 )
                | ~ ( fresh_name_name @ SV251 @ SV636 ) ) )
        = $false )
      | ( ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SV636 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2869]) ).

thf(3116,plain,
    ! [SV636: name,SV489: name,SV251: name] :
      ( ( ( ~ ( fresh_name_name @ SV251 @ SV489 )
          | ~ ( fresh_name_name @ SV251 @ SV636 ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SV636 ) )
              | ~ ~ ( ~ ( fresh_name_name @ SV251 @ SV489 )
                    | ~ ( fresh_name_name @ SV251 @ SV636 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2870]) ).

thf(3117,plain,
    ! [SV252: name,SV701: pi,SV821: pi > $o,SV637: late_freeRes,SV490: pi] :
      ( ( ( ~ ( ~ ( late_transitions @ SV490 @ ( late_FreeR @ SV637 @ ( sK117_P4 @ SV821 @ SV701 @ SV637 @ SV490 @ SV252 ) ) )
              | ~ ~ ( ~ ( fresh_1641682979reeRes @ SV252 @ SV637 )
                    | ~ ~ ( SV821 @ ( res @ SV252 @ ( sK117_P4 @ SV821 @ SV701 @ SV637 @ SV490 @ SV252 ) ) ) ) ) )
        = $true )
      | ( ( SV821 @ SV701 )
        = $true )
      | ( ( late_transitions @ ( res @ SV252 @ SV490 ) @ ( late_FreeR @ SV637 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2871]) ).

thf(3118,plain,
    ! [SV638: late_subject,SV771: pi,SV491: pi,SV253: name,SV702: name] :
      ( ( ( SV702 = SV253 )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV702 @ SV491 )
          | ! [SY2361: late_subject > pi > $o] :
              ( ~ ( ~ ( late_transitions @ SV491 @ ( late_FreeR @ ( late_OutputR @ ( sK60_B2 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) @ SV253 ) @ ( sK61_SY1044 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
                  | ~ ~ ( ~ ( ( ( sK60_B2 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 )
                             != SV253 ) )
                        | ~ ~ ( ( SV638
                               != ( late_BoundOutputS @ ( sK60_B2 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
                              | ~ ~ ( SY2361 @ ( late_BoundOutputS @ ( sK60_B2 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV702 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) ) )
              | ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
                  | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                        | ~ ~ ( SY2361 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
              | ( SY2361 @ SV638 @ SV771 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2872]) ).

thf(3119,plain,
    ! [SV889: late_subject,SV254: $o,SV492: list_P227219501e_name] :
      ( ( ( ! [SY2430: late_subject] :
              ( ( perm_n1559866809ubject @ SV492 @ ( if_Late_subject @ SV254 @ SV889 @ SY2430 ) )
              = ( perm_n1559866809ubject @ SV492 @ SV889 ) ) )
        = $true )
      | ( SV254 = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2873]) ).

thf(3120,plain,
    ! [SV890: late_subject,SV822: late_subject,SV254: $o,SV492: list_P227219501e_name] :
      ( ( ( ( perm_n1559866809ubject @ SV492 @ ( if_Late_subject @ SV254 @ SV822 @ SV890 ) )
          = ( perm_n1559866809ubject @ SV492 @ SV890 ) )
        = $true )
      | ( SV254 = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2874]) ).

thf(3121,plain,
    ! [SV891: late_subject,SV493: list_P227219501e_name] :
      ( ( ( ! [SY2431: late_subject] :
              ( ( perm_n1559866809ubject @ SV493 @ ( if_Late_subject @ $true @ SV891 @ SY2431 ) )
              = ( perm_n1559866809ubject @ SV493 @ SV891 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2875]) ).

thf(3122,plain,
    ! [SV892: late_subject,SV823: late_subject,SV493: list_P227219501e_name] :
      ( ( ( ( perm_n1559866809ubject @ SV493 @ ( if_Late_subject @ $true @ SV823 @ SV892 ) )
          = ( perm_n1559866809ubject @ SV493 @ SV892 ) )
        = $true )
      | ( $true = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2876]) ).

thf(3123,plain,
    ! [SV893: late_subject,SV494: list_P227219501e_name] :
      ( ( ( ! [SY2432: late_subject] :
              ( ( perm_n1559866809ubject @ SV494 @ ( if_Late_subject @ $false @ SV893 @ SY2432 ) )
              = ( perm_n1559866809ubject @ SV494 @ SV893 ) ) )
        = $true )
      | ( $false = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2877]) ).

thf(3124,plain,
    ! [SV894: late_subject,SV824: late_subject,SV494: list_P227219501e_name] :
      ( ( ( ( perm_n1559866809ubject @ SV494 @ ( if_Late_subject @ $false @ SV824 @ SV894 ) )
          = ( perm_n1559866809ubject @ SV494 @ SV894 ) )
        = $true )
      | ( $false = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2878]) ).

thf(3125,plain,
    ! [SV703: pi,SV639: pi,SV495: pi,SV255: pi] :
      ( ( ( ( par @ SV255 @ SV495 )
          = ( par @ SV639 @ SV703 ) )
        = $false )
      | ( ( ~ ( ( ( par @ SV255 @ SV495 )
               != ( par @ SV639 @ SV703 ) )
              | ~ ~ ( ( SV255 != SV639 )
                    | ( SV495 != SV703 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2879]) ).

thf(3126,plain,
    ! [SV703: pi,SV495: pi,SV639: pi,SV255: pi] :
      ( ( ( ~ ( ( SV255 != SV639 )
              | ( SV495 != SV703 ) ) )
        = $false )
      | ( ( ~ ( ( ( par @ SV255 @ SV495 )
               != ( par @ SV639 @ SV703 ) )
              | ~ ~ ( ( SV255 != SV639 )
                    | ( SV495 != SV703 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2879]) ).

thf(3127,plain,
    ! [SV496: set_Pr1834926343_pi_pi,SV256: pi,SV895: pi,SV825: name,SV704: late_subject,SV640: pi] :
      ( ( ( ~ ( late_transitions @ SV640 @ ( late_BoundR @ SV704 @ SV825 @ SV895 ) )
          | ~ ( fresh_name_pi @ SV825 @ SV256 )
          | ~ ( ~ ( late_transitions @ SV256 @ ( late_BoundR @ SV704 @ SV825 @ ( sK92_P4 @ SV895 @ SV825 @ SV704 @ SV640 @ SV496 @ SV256 ) ) )
              | ~ ( strong2129052853vative @ ( sK92_P4 @ SV895 @ SV825 @ SV704 @ SV640 @ SV496 @ SV256 ) @ SV895 @ SV704 @ SV825 @ SV496 ) ) )
        = $true )
      | ( ( strong743114133lation @ SV256 @ SV496 @ SV640 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2880]) ).

thf(3128,plain,
    ! [SV705: pi,SV641: late_freeRes,SV497: pi,SV257: late_freeRes] :
      ( ( ( ( late_FreeR @ SV257 @ SV497 )
          = ( late_FreeR @ SV641 @ SV705 ) )
        = $false )
      | ( ( ~ ( ( ( late_FreeR @ SV257 @ SV497 )
               != ( late_FreeR @ SV641 @ SV705 ) )
              | ~ ~ ( ( SV257 != SV641 )
                    | ( SV497 != SV705 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2881]) ).

thf(3129,plain,
    ! [SV705: pi,SV497: pi,SV641: late_freeRes,SV257: late_freeRes] :
      ( ( ( ~ ( ( SV257 != SV641 )
              | ( SV497 != SV705 ) ) )
        = $false )
      | ( ( ~ ( ( ( late_FreeR @ SV257 @ SV497 )
               != ( late_FreeR @ SV641 @ SV705 ) )
              | ~ ~ ( ( SV257 != SV641 )
                    | ( SV497 != SV705 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2881]) ).

thf(3130,plain,
    ! [SV642: late_freeRes,SV706: pi,SV498: pi,SV258: name] :
      ( ( ( ( res @ SV258 @ SV498 )
         != ( res @ ( sK116_SY1113 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK113_P5 @ SV706 @ SV642 @ SV498 @ SV258 ) ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV258 @ SV498 ) @ ( late_FreeR @ SV642 @ SV706 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2882]) ).

thf(3131,plain,
    ! [SV258: name,SV498: pi,SV706: pi,SV642: late_freeRes] :
      ( ( ( ~ ~ ( ( ( late_FreeR @ SV642 @ SV706 )
                 != ( late_FreeR @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( res @ ( sK116_SY1113 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK115_SY1111 @ SV706 @ SV642 @ SV498 @ SV258 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK113_P5 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( late_FreeR @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK115_SY1111 @ SV706 @ SV642 @ SV498 @ SV258 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK116_SY1113 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) ) ) ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV258 @ SV498 ) @ ( late_FreeR @ SV642 @ SV706 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2882]) ).

thf(3132,plain,
    ! [SV896: product_unit,SV259: product_unit > late_residual > $o] :
      ( ( ( ! [SY2433: late_residual] : ( SV259 @ SV896 @ SY2433 ) )
        = $true )
      | ( ( SV259 @ ( sK26_SY1001 @ SV259 ) @ ( late_FreeR @ ( sK24_FreeRes2 @ SV259 ) @ ( sK25_SY999 @ SV259 ) ) )
        = $false )
      | ( ( fresh_1143631827t_unit @ ( sK28_SY1002 @ SV259 ) @ ( sK30_SY1007 @ SV259 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2883]) ).

thf(3133,plain,
    ! [SV259: product_unit > late_residual > $o] :
      ( ( ( fresh_717452603ubject @ ( sK28_SY1002 @ SV259 ) @ ( sK27_Subject2 @ SV259 ) )
        = $true )
      | ( ( ~ ( SV259 @ ( sK26_SY1001 @ SV259 ) @ ( late_FreeR @ ( sK24_FreeRes2 @ SV259 ) @ ( sK25_SY999 @ SV259 ) ) )
          | ! [SY1707: product_unit,SY1708: late_residual] : ( SV259 @ SY1707 @ SY1708 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2884]) ).

thf(3134,plain,
    ! [SV259: product_unit > late_residual > $o] :
      ( ( ( ~ ( SV259 @ ( sK30_SY1007 @ SV259 ) @ ( late_BoundR @ ( sK27_Subject2 @ SV259 ) @ ( sK28_SY1002 @ SV259 ) @ ( sK29_SY1005 @ SV259 ) ) ) )
        = $true )
      | ( ( ~ ( SV259 @ ( sK26_SY1001 @ SV259 ) @ ( late_FreeR @ ( sK24_FreeRes2 @ SV259 ) @ ( sK25_SY999 @ SV259 ) ) )
          | ! [SY1707: product_unit,SY1708: late_residual] : ( SV259 @ SY1707 @ SY1708 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2885]) ).

thf(3135,plain,
    ! [SV897: pi,SV260: pi > late_residual > $o] :
      ( ( ( ! [SY2434: late_residual] : ( SV260 @ SV897 @ SY2434 ) )
        = $true )
      | ( ( SV260 @ ( sK5_SY974 @ SV260 ) @ ( late_FreeR @ ( sK3_FreeRes2 @ SV260 ) @ ( sK4_SY972 @ SV260 ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK7_SY975 @ SV260 ) @ ( sK9_SY980 @ SV260 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2886]) ).

thf(3136,plain,
    ! [SV260: pi > late_residual > $o] :
      ( ( ( fresh_717452603ubject @ ( sK7_SY975 @ SV260 ) @ ( sK6_Subject2 @ SV260 ) )
        = $true )
      | ( ( ~ ( SV260 @ ( sK5_SY974 @ SV260 ) @ ( late_FreeR @ ( sK3_FreeRes2 @ SV260 ) @ ( sK4_SY972 @ SV260 ) ) )
          | ! [SY1709: pi,SY1710: late_residual] : ( SV260 @ SY1709 @ SY1710 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2887]) ).

thf(3137,plain,
    ! [SV260: pi > late_residual > $o] :
      ( ( ( ~ ( SV260 @ ( sK9_SY980 @ SV260 ) @ ( late_BoundR @ ( sK6_Subject2 @ SV260 ) @ ( sK7_SY975 @ SV260 ) @ ( sK8_SY978 @ SV260 ) ) ) )
        = $true )
      | ( ( ~ ( SV260 @ ( sK5_SY974 @ SV260 ) @ ( late_FreeR @ ( sK3_FreeRes2 @ SV260 ) @ ( sK4_SY972 @ SV260 ) ) )
          | ! [SY1709: pi,SY1710: late_residual] : ( SV260 @ SY1709 @ SY1710 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2888]) ).

thf(3138,plain,
    ! [SV772: name,SV898: name,SV261: name] :
      ( ( ( ( swap_name2 @ ( produc1570949143e_name @ SV261 @ SV898 ) @ SV772 )
          = SV898 )
        = $true )
      | ( ( SV261 = SV772 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2889]) ).

thf(3139,plain,
    ! [SV899: name,SV261: name] :
      ( ( ( SV261 = SV899 )
        | ! [SY2435: name] :
            ( ( SY2435 != SV899 )
            | ( ( swap_name2 @ ( produc1570949143e_name @ SV261 @ SY2435 ) @ SV899 )
              = SV261 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2890]) ).

thf(3140,plain,
    ! [SV900: name,SV261: name] :
      ( ( ( SV261 = SV900 )
        | ! [SY2436: name] :
            ( ( SY2436 = SV900 )
            | ( ( swap_name2 @ ( produc1570949143e_name @ SV261 @ SY2436 ) @ SV900 )
              = SV900 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2891]) ).

thf(3141,plain,
    ! [SV901: name,SV499: $o,SV262: list_P227219501e_name] :
      ( ( ( ! [SY2437: name] :
              ( ( perm_name_name @ SV262 @ ( if_name @ SV499 @ SV901 @ SY2437 ) )
              = ( perm_name_name @ SV262 @ SV901 ) ) )
        = $true )
      | ( ( perm_name_o @ SV262 @ SV499 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2892]) ).

thf(3142,plain,
    ! [SV902: name,SV826: name,SV499: $o,SV262: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV262 @ ( if_name @ SV499 @ SV826 @ SV902 ) )
          = ( perm_name_name @ SV262 @ SV902 ) )
        = $true )
      | ( ( perm_name_o @ SV262 @ SV499 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2893]) ).

thf(3143,plain,
    ! [SV903: name,SV262: list_P227219501e_name] :
      ( ( ( ! [SY2438: name] :
              ( ( perm_name_name @ SV262 @ ( if_name @ $true @ SV903 @ SY2438 ) )
              = ( perm_name_name @ SV262 @ SV903 ) ) )
        = $true )
      | ( ( perm_name_o @ SV262 @ $true )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2894]) ).

thf(3144,plain,
    ! [SV904: name,SV827: name,SV262: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV262 @ ( if_name @ $true @ SV827 @ SV904 ) )
          = ( perm_name_name @ SV262 @ SV904 ) )
        = $true )
      | ( ( perm_name_o @ SV262 @ $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2895]) ).

thf(3145,plain,
    ! [SV905: name,SV262: list_P227219501e_name] :
      ( ( ( ! [SY2439: name] :
              ( ( perm_name_name @ SV262 @ ( if_name @ $false @ SV905 @ SY2439 ) )
              = ( perm_name_name @ SV262 @ SV905 ) ) )
        = $true )
      | ( ( perm_name_o @ SV262 @ $false )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2896]) ).

thf(3146,plain,
    ! [SV906: name,SV828: name,SV262: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV262 @ ( if_name @ $false @ SV828 @ SV906 ) )
          = ( perm_name_name @ SV262 @ SV906 ) )
        = $true )
      | ( ( perm_name_o @ SV262 @ $false )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2897]) ).

thf(3147,plain,
    ! [SV907: pi_Rep,SV263: $o,SV500: list_P227219501e_name] :
      ( ( ( ! [SY2440: pi_Rep] :
              ( ( perm_name_pi_Rep @ SV500 @ ( if_pi_Rep @ SV263 @ SV907 @ SY2440 ) )
              = ( perm_name_pi_Rep @ SV500 @ SV907 ) ) )
        = $true )
      | ( SV263 = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2898]) ).

thf(3148,plain,
    ! [SV908: pi_Rep,SV829: pi_Rep,SV263: $o,SV500: list_P227219501e_name] :
      ( ( ( ( perm_name_pi_Rep @ SV500 @ ( if_pi_Rep @ SV263 @ SV829 @ SV908 ) )
          = ( perm_name_pi_Rep @ SV500 @ SV908 ) )
        = $true )
      | ( SV263 = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2899]) ).

thf(3149,plain,
    ! [SV909: pi_Rep,SV501: list_P227219501e_name] :
      ( ( ( ! [SY2441: pi_Rep] :
              ( ( perm_name_pi_Rep @ SV501 @ ( if_pi_Rep @ $true @ SV909 @ SY2441 ) )
              = ( perm_name_pi_Rep @ SV501 @ SV909 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2900]) ).

thf(3150,plain,
    ! [SV910: pi_Rep,SV830: pi_Rep,SV501: list_P227219501e_name] :
      ( ( ( ( perm_name_pi_Rep @ SV501 @ ( if_pi_Rep @ $true @ SV830 @ SV910 ) )
          = ( perm_name_pi_Rep @ SV501 @ SV910 ) )
        = $true )
      | ( $true = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2901]) ).

thf(3151,plain,
    ! [SV911: pi_Rep,SV502: list_P227219501e_name] :
      ( ( ( ! [SY2442: pi_Rep] :
              ( ( perm_name_pi_Rep @ SV502 @ ( if_pi_Rep @ $false @ SV911 @ SY2442 ) )
              = ( perm_name_pi_Rep @ SV502 @ SV911 ) ) )
        = $true )
      | ( $false = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2902]) ).

thf(3152,plain,
    ! [SV912: pi_Rep,SV831: pi_Rep,SV502: list_P227219501e_name] :
      ( ( ( ( perm_name_pi_Rep @ SV502 @ ( if_pi_Rep @ $false @ SV831 @ SV912 ) )
          = ( perm_name_pi_Rep @ SV502 @ SV912 ) )
        = $true )
      | ( $false = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2903]) ).

thf(3153,plain,
    ! [SV707: name,SV643: name,SV503: name,SV264: name] :
      ( ( ( ( late_OutputR @ SV264 @ SV503 )
          = ( late_OutputR @ SV643 @ SV707 ) )
        = $false )
      | ( ( ~ ( ( ( late_OutputR @ SV264 @ SV503 )
               != ( late_OutputR @ SV643 @ SV707 ) )
              | ~ ~ ( ( SV264 != SV643 )
                    | ( SV503 != SV707 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2904]) ).

thf(3154,plain,
    ! [SV707: name,SV503: name,SV643: name,SV264: name] :
      ( ( ( ~ ( ( SV264 != SV643 )
              | ( SV503 != SV707 ) ) )
        = $false )
      | ( ( ~ ( ( ( late_OutputR @ SV264 @ SV503 )
               != ( late_OutputR @ SV643 @ SV707 ) )
              | ~ ~ ( ( SV264 != SV643 )
                    | ( SV503 != SV707 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2904]) ).

thf(3155,plain,
    ! [SV913: name,SV265: name > late_residual > $o] :
      ( ( ( ! [SY2443: late_residual] : ( SV265 @ SV913 @ SY2443 ) )
        = $true )
      | ( ( SV265 @ ( sK40_SY1019 @ SV265 ) @ ( late_FreeR @ ( sK38_FreeRes2 @ SV265 ) @ ( sK39_SY1017 @ SV265 ) ) )
        = $false )
      | ( ( fresh_name_name @ ( sK42_SY1020 @ SV265 ) @ ( sK44_SY1025 @ SV265 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2905]) ).

thf(3156,plain,
    ! [SV265: name > late_residual > $o] :
      ( ( ( fresh_717452603ubject @ ( sK42_SY1020 @ SV265 ) @ ( sK41_Subject2 @ SV265 ) )
        = $true )
      | ( ( ~ ( SV265 @ ( sK40_SY1019 @ SV265 ) @ ( late_FreeR @ ( sK38_FreeRes2 @ SV265 ) @ ( sK39_SY1017 @ SV265 ) ) )
          | ! [SY1730: name,SY1731: late_residual] : ( SV265 @ SY1730 @ SY1731 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2906]) ).

thf(3157,plain,
    ! [SV265: name > late_residual > $o] :
      ( ( ( ~ ( SV265 @ ( sK44_SY1025 @ SV265 ) @ ( late_BoundR @ ( sK41_Subject2 @ SV265 ) @ ( sK42_SY1020 @ SV265 ) @ ( sK43_SY1023 @ SV265 ) ) ) )
        = $true )
      | ( ( ~ ( SV265 @ ( sK40_SY1019 @ SV265 ) @ ( late_FreeR @ ( sK38_FreeRes2 @ SV265 ) @ ( sK39_SY1017 @ SV265 ) ) )
          | ! [SY1730: name,SY1731: late_residual] : ( SV265 @ SY1730 @ SY1731 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2907]) ).

thf(3158,plain,
    ! [SV914: name,SV299: name > noption_pi,SV715: name,SV40: name] :
      ( ( ( ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV40 @ SV715 ) @ nil_Pr743626285e_name ) @ SV299 @ SV914 )
          = ( SV299 @ SV914 ) )
        = $true )
      | ( ( fresh_543891186ion_pi @ SV715 @ SV299 )
        = $false )
      | ( ( fresh_543891186ion_pi @ SV40 @ SV299 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2908]) ).

thf(3159,plain,
    ! [SV915: name,SV307: name > noption_pi,SV723: name,SV48: name] :
      ( ( ( ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV48 @ SV723 ) @ nil_Pr743626285e_name ) @ SV307 @ SV915 )
          = ( SV307 @ SV915 ) )
        = $true )
      | ( ( fresh_543891186ion_pi @ SV723 @ SV307 )
        = $false )
      | ( ( fresh_543891186ion_pi @ SV48 @ SV307 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2910]) ).

thf(3160,plain,
    ! [SV523: pi,SV309: name,SV50: list_P227219501e_name] :
      ( ( ( ~ ( fresh_name_pi @ ( perm_name_name @ SV50 @ SV309 ) @ ( perm_name_pi @ SV50 @ SV523 ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( perm_name_name @ SV50 @ SV309 ) @ ( perm_name_pi @ SV50 @ SV523 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2912]) ).

thf(3161,plain,
    ! [SV50: list_P227219501e_name,SV523: pi,SV309: name] :
      ( ( ( ~ ( fresh_name_pi @ SV309 @ SV523 ) )
        = $false )
      | ( ( fresh_name_pi @ ( perm_name_name @ SV50 @ SV309 ) @ ( perm_name_pi @ SV50 @ SV523 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2912]) ).

thf(3162,plain,
    ! [SV523: pi,SV309: name,SV50: list_P227219501e_name] :
      ( ( ( ~ ( fresh_name_pi @ ( perm_name_name @ SV50 @ SV309 ) @ ( perm_name_pi @ SV50 @ SV523 ) ) )
        = $false )
      | ( ( fresh_name_pi @ SV309 @ SV523 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2913]) ).

thf(3163,plain,
    ! [SV523: pi,SV309: name] :
      ( ( ( ~ ( fresh_name_pi @ SV309 @ SV523 ) )
        = $false )
      | ( ( fresh_name_pi @ SV309 @ SV523 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2913]) ).

thf(3164,plain,
    ! [SV649: late_subject,SV916: name,SV320: name,SV62: name] :
      ( ( ( fresh_717452603ubject @ SV62 @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV320 @ SV916 ) @ nil_Pr743626285e_name ) @ SV649 ) )
        = $true )
      | ( ( fresh_717452603ubject @ SV62 @ SV649 )
        = $false )
      | ( ( fresh_717452603ubject @ SV320 @ SV649 )
        = $false )
      | ( ( SV62 = SV320 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2914]) ).

thf(3165,plain,
    ! [SV650: late_freeRes,SV917: name,SV321: name,SV63: name] :
      ( ( ( fresh_1641682979reeRes @ SV63 @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV321 @ SV917 ) @ nil_Pr743626285e_name ) @ SV650 ) )
        = $true )
      | ( ( fresh_1641682979reeRes @ SV63 @ SV650 )
        = $false )
      | ( ( fresh_1641682979reeRes @ SV321 @ SV650 )
        = $false )
      | ( ( SV63 = SV321 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2915]) ).

thf(3166,plain,
    ! [SV651: pi_Rep,SV918: name,SV322: name,SV64: name] :
      ( ( ( fresh_name_pi_Rep @ SV64 @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV322 @ SV918 ) @ nil_Pr743626285e_name ) @ SV651 ) )
        = $true )
      | ( ( fresh_name_pi_Rep @ SV64 @ SV651 )
        = $false )
      | ( ( fresh_name_pi_Rep @ SV322 @ SV651 )
        = $false )
      | ( ( SV64 = SV322 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2916]) ).

thf(3167,plain,
    ! [SV652: product_unit,SV919: name,SV323: name,SV65: name] :
      ( ( ( fresh_1143631827t_unit @ SV65 @ ( perm_n1960409557t_unit @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV323 @ SV919 ) @ nil_Pr743626285e_name ) @ SV652 ) )
        = $true )
      | ( ( fresh_1143631827t_unit @ SV65 @ SV652 )
        = $false )
      | ( ( fresh_1143631827t_unit @ SV323 @ SV652 )
        = $false )
      | ( ( SV65 = SV323 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2917]) ).

thf(3168,plain,
    ! [SV653: produc1141751126_pi_pi,SV920: name,SV324: name,SV66: name] :
      ( ( ( fresh_1376661020_pi_pi @ SV66 @ ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV324 @ SV920 ) @ nil_Pr743626285e_name ) @ SV653 ) )
        = $true )
      | ( ( fresh_1376661020_pi_pi @ SV66 @ SV653 )
        = $false )
      | ( ( fresh_1376661020_pi_pi @ SV324 @ SV653 )
        = $false )
      | ( ( SV66 = SV324 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2918]) ).

thf(3169,plain,
    ! [SV654: name,SV921: name,SV325: name,SV67: name] :
      ( ( ( fresh_name_name @ SV67 @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV325 @ SV921 ) @ nil_Pr743626285e_name ) @ SV654 ) )
        = $true )
      | ( ( fresh_name_name @ SV67 @ SV654 )
        = $false )
      | ( ( fresh_name_name @ SV325 @ SV654 )
        = $false )
      | ( ( SV67 = SV325 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2919]) ).

thf(3170,plain,
    ! [SV655: pi,SV922: name,SV326: name,SV68: name] :
      ( ( ( fresh_name_pi @ SV68 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV326 @ SV922 ) @ nil_Pr743626285e_name ) @ SV655 ) )
        = $true )
      | ( ( fresh_name_pi @ SV68 @ SV655 )
        = $false )
      | ( ( fresh_name_pi @ SV326 @ SV655 )
        = $false )
      | ( ( SV68 = SV326 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2920]) ).

thf(3171,plain,
    ! [SV656: name > noption_pi,SV923: name,SV327: name,SV69: name] :
      ( ( ( fresh_543891186ion_pi @ SV69 @ ( perm_n1667196784ion_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV327 @ SV923 ) @ nil_Pr743626285e_name ) @ SV656 ) )
        = $true )
      | ( ( fresh_543891186ion_pi @ SV69 @ SV656 )
        = $false )
      | ( ( fresh_543891186ion_pi @ SV327 @ SV656 )
        = $false )
      | ( ( SV69 = SV327 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2921]) ).

thf(3172,plain,
    ! [SV528: pi,SV331: pi,SV73: list_P227219501e_name] :
      ( ( ( ( perm_name_pi @ SV73 @ SV331 )
         != ( perm_name_pi @ SV73 @ SV528 ) )
        = $false )
      | ( ( ( perm_name_pi @ SV73 @ SV331 )
          = ( perm_name_pi @ SV73 @ SV528 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2922]) ).

thf(3173,plain,
    ! [SV73: list_P227219501e_name,SV528: pi,SV331: pi] :
      ( ( ( SV331 != SV528 )
        = $false )
      | ( ( ( perm_name_pi @ SV73 @ SV331 )
          = ( perm_name_pi @ SV73 @ SV528 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2922]) ).

thf(3174,plain,
    ! [SV528: pi,SV331: pi,SV73: list_P227219501e_name] :
      ( ( ( ( perm_name_pi @ SV73 @ SV331 )
         != ( perm_name_pi @ SV73 @ SV528 ) )
        = $false )
      | ( ( SV331 = SV528 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2923]) ).

thf(3175,plain,
    ! [SV528: pi,SV331: pi] :
      ( ( ( SV331 != SV528 )
        = $false )
      | ( ( SV331 = SV528 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2923]) ).

thf(3176,plain,
    ! [SV531: pi,SV334: pi,SV76: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV76 @ ( SV334 = SV531 ) ) )
        = $false )
      | ( ( perm_name_o @ SV76 @ ( SV334 = SV531 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2924]) ).

thf(3177,plain,
    ! [SV531: pi,SV334: pi,SV76: list_P227219501e_name] :
      ( ( ( ( perm_name_pi @ SV76 @ SV334 )
         != ( perm_name_pi @ SV76 @ SV531 ) )
        = $false )
      | ( ( perm_name_o @ SV76 @ ( SV334 = SV531 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2924]) ).

thf(3178,plain,
    ! [SV531: pi,SV334: pi,SV76: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV76 @ ( SV334 = SV531 ) ) )
        = $false )
      | ( ( ( perm_name_pi @ SV76 @ SV334 )
          = ( perm_name_pi @ SV76 @ SV531 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2925]) ).

thf(3179,plain,
    ! [SV531: pi,SV334: pi,SV76: list_P227219501e_name] :
      ( ( ( ( perm_name_pi @ SV76 @ SV334 )
         != ( perm_name_pi @ SV76 @ SV531 ) )
        = $false )
      | ( ( ( perm_name_pi @ SV76 @ SV334 )
          = ( perm_name_pi @ SV76 @ SV531 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2925]) ).

thf(3180,plain,
    ! [SV345: name,SV90: name] :
      ( ( ( ( late_BoundOutputS @ SV90 )
          = ( late_BoundOutputS @ SV345 ) )
        = $true )
      | ( ( ( late_BoundOutputS @ SV90 )
          = ( late_BoundOutputS @ SV345 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2926]) ).

thf(3181,plain,
    ! [SV345: name,SV90: name] :
      ( ( ( SV90 = SV345 )
        = $true )
      | ( ( ( late_BoundOutputS @ SV90 )
          = ( late_BoundOutputS @ SV345 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2927]) ).

thf(3182,plain,
    ! [SV345: name,SV90: name] :
      ( ( ( ( late_BoundOutputS @ SV90 )
          = ( late_BoundOutputS @ SV345 ) )
        = $true )
      | ( ( SV90 = SV345 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2928]) ).

thf(3183,plain,
    ! [SV345: name,SV90: name] :
      ( ( ( SV90 = SV345 )
        = $true )
      | ( ( SV90 = SV345 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2929]) ).

thf(3184,plain,
    ! [SV348: name,SV93: name] :
      ( ( ( fresh_717452603ubject @ SV93 @ ( late_BoundOutputS @ SV348 ) )
        = $true )
      | ( ( fresh_717452603ubject @ SV93 @ ( late_BoundOutputS @ SV348 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2930]) ).

thf(3185,plain,
    ! [SV348: name,SV93: name] :
      ( ( ( fresh_name_name @ SV93 @ SV348 )
        = $true )
      | ( ( fresh_717452603ubject @ SV93 @ ( late_BoundOutputS @ SV348 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2931]) ).

thf(3186,plain,
    ! [SV348: name,SV93: name] :
      ( ( ( fresh_717452603ubject @ SV93 @ ( late_BoundOutputS @ SV348 ) )
        = $true )
      | ( ( fresh_name_name @ SV93 @ SV348 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2932]) ).

thf(3187,plain,
    ! [SV348: name,SV93: name] :
      ( ( ( fresh_name_name @ SV93 @ SV348 )
        = $true )
      | ( ( fresh_name_name @ SV93 @ SV348 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2933]) ).

thf(3188,plain,
    ! [SV658: pi,SV96: pi,SV539: name,SV351: late_subject,SV791: name] :
      ( ( ( fresh_717452603ubject @ SV791 @ SV351 )
        = $false )
      | ( ( ( SV791 = SV539 )
          | ( late_transitions @ ( res @ SV791 @ SV96 ) @ ( late_BoundR @ SV351 @ SV539 @ ( res @ SV791 @ SV658 ) ) ) )
        = $true )
      | ( ( late_transitions @ SV96 @ ( late_BoundR @ SV351 @ SV539 @ SV658 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2935]) ).

thf(3189,plain,
    ! [SV735: pi,SV540: name,SV352: late_subject,SV97: pi,SV792: name] :
      ( ( ( fresh_name_pi @ SV792 @ SV97 )
        = $false )
      | ( ( fresh_717452603ubject @ SV792 @ SV352 )
        = $true )
      | ( ( late_transitions @ SV97 @ ( late_BoundR @ SV352 @ SV540 @ SV735 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2936]) ).

thf(3190,plain,
    ! [SV659: pi,SV98: pi,SV541: name,SV353: late_subject,SV793: name] :
      ( ( ( fresh_717452603ubject @ SV793 @ SV353 )
        = $false )
      | ( ( ( SV793 = SV541 )
          | ~ ( fresh_name_pi @ SV541 @ SV98 )
          | ~ ( fresh_717452603ubject @ SV541 @ SV353 )
          | ( late_transitions @ ( res @ SV793 @ SV98 ) @ ( late_BoundR @ SV353 @ SV541 @ ( res @ SV793 @ SV659 ) ) ) )
        = $true )
      | ( ( late_transitions @ SV98 @ ( late_BoundR @ SV353 @ SV541 @ SV659 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2937]) ).

thf(3191,plain,
    ! [SV660: pi,SV99: pi,SV354: late_subject,SV924: pi,SV542: name] :
      ( ( ( ~ ( fresh_name_pi @ SV542 @ SV924 )
          | ~ ( fresh_717452603ubject @ SV542 @ SV354 )
          | ( late_transitions @ ( par @ SV99 @ SV924 ) @ ( late_BoundR @ SV354 @ SV542 @ ( par @ SV660 @ SV924 ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV542 @ SV99 )
        = $false )
      | ( ( late_transitions @ SV99 @ ( late_BoundR @ SV354 @ SV542 @ SV660 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2938]) ).

thf(3192,plain,
    ! [SV661: pi,SV355: late_subject,SV100: pi,SV794: pi,SV543: name] :
      ( ( ( fresh_name_pi @ SV543 @ SV794 )
        = $false )
      | ( ( ~ ( fresh_name_pi @ SV543 @ SV100 )
          | ~ ( fresh_717452603ubject @ SV543 @ SV355 )
          | ( late_transitions @ ( par @ SV794 @ SV100 ) @ ( late_BoundR @ SV355 @ SV543 @ ( par @ SV794 @ SV661 ) ) ) )
        = $true )
      | ( ( late_transitions @ SV100 @ ( late_BoundR @ SV355 @ SV543 @ SV661 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2939]) ).

thf(3193,plain,
    ! [SV361: late_subject,SV663: pi,SV547: name,SV108: pi,SV795: name] :
      ( ( ( fresh_name_pi @ SV795 @ SV108 )
        = $false )
      | ( ( ( SV795 = SV547 )
          | ( fresh_name_pi @ SV795 @ SV663 ) )
        = $true )
      | ( ( late_transitions @ SV108 @ ( late_BoundR @ SV361 @ SV547 @ SV663 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2940]) ).

thf(3194,plain,
    ! [SV664: pi,SV363: late_subject,SV110: pi,SV796: pi,SV549: name] :
      ( ( ( fresh_name_pi @ SV549 @ SV796 )
        = $false )
      | ( ( late_transitions @ ( par @ SV110 @ SV796 ) @ ( late_BoundR @ SV363 @ SV549 @ ( par @ SV664 @ SV796 ) ) )
        = $true )
      | ( ( late_transitions @ SV110 @ ( late_BoundR @ SV363 @ SV549 @ SV664 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2942]) ).

thf(3195,plain,
    ! [SV665: pi,SV364: late_subject,SV111: pi,SV797: pi,SV550: name] :
      ( ( ( fresh_name_pi @ SV550 @ SV797 )
        = $false )
      | ( ( late_transitions @ ( par @ SV797 @ SV111 ) @ ( late_BoundR @ SV364 @ SV550 @ ( par @ SV797 @ SV665 ) ) )
        = $true )
      | ( ( late_transitions @ SV111 @ ( late_BoundR @ SV364 @ SV550 @ SV665 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2943]) ).

thf(3196,plain,
    ! [SV667: name,SV552: late_subject,SV366: pi,SV113: pi,SV738: set_Pr1834926343_pi_pi] :
      ( ( ( eqvt_pi @ SV738 )
        = $false )
      | ( ( ! [SY2331: list_P227219501e_name] : ( strong2129052853vative @ ( perm_name_pi @ SY2331 @ SV113 ) @ ( perm_name_pi @ SY2331 @ SV366 ) @ SV552 @ ( perm_name_name @ SY2331 @ SV667 ) @ SV738 ) )
        = $true )
      | ( ( strong2129052853vative @ SV113 @ SV366 @ SV552 @ SV667 @ SV738 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2944]) ).

thf(3197,plain,
    ! [SV371: name,SV119: name] :
      ( ( ( ( late_BoundOutputS @ SV119 )
          = ( late_BoundOutputS @ SV371 ) )
        = $true )
      | ( ( ( late_BoundOutputS @ SV119 )
          = ( late_BoundOutputS @ SV371 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2945]) ).

thf(3198,plain,
    ! [SV371: name,SV119: name] :
      ( ( ( SV119 = SV371 )
        = $true )
      | ( ( ( late_BoundOutputS @ SV119 )
          = ( late_BoundOutputS @ SV371 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2946]) ).

thf(3199,plain,
    ! [SV371: name,SV119: name] :
      ( ( ( ( late_BoundOutputS @ SV119 )
          = ( late_BoundOutputS @ SV371 ) )
        = $true )
      | ( ( SV119 = SV371 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2947]) ).

thf(3200,plain,
    ! [SV371: name,SV119: name] :
      ( ( ( SV119 = SV371 )
        = $true )
      | ( ( SV119 = SV371 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2948]) ).

thf(3201,plain,
    ! [SV798: pi,SV785: name,SV563: pi,SV382: name,SV677: late_subject,SV131: name] :
      ( ( ( fresh_717452603ubject @ SV131 @ SV677 )
        = $false )
      | ( ( late_transitions @ ( input @ SV131 @ SV382 @ SV563 ) @ ( late_BoundR @ SV677 @ SV785 @ SV798 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2949]) ).

thf(3202,plain,
    ! [SV135: $o] :
      ( ( SV135 = $true )
      | ( SV135 = $false )
      | ( ( SV135 = $false )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2951]) ).

thf(3203,plain,
    ! [SV135: $o] :
      ( ( $true = $true )
      | ( SV135 = $false )
      | ( ( SV135 = $false )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2952]) ).

thf(3204,plain,
    ! [SV135: $o] :
      ( ( SV135 = $true )
      | ( $true = $false )
      | ( ( SV135 = $false )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2953]) ).

thf(3205,plain,
    ! [SV135: $o] :
      ( ( $true = $true )
      | ( $true = $false )
      | ( ( SV135 = $false )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2954]) ).

thf(3206,plain,
    ! [SV135: $o] :
      ( ( ( ~ SV135 ) = $false )
      | ( SV135 = $false )
      | ( ( SV135 = $true )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2955]) ).

thf(3207,plain,
    ! [SV135: $o] :
      ( ( ( ~ $false ) = $false )
      | ( SV135 = $false )
      | ( ( SV135 = $true )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2955]) ).

thf(3208,plain,
    ! [SV135: $o] :
      ( ( ( ~ SV135 ) = $false )
      | ( $false = $false )
      | ( ( SV135 = $true )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2956]) ).

thf(3209,plain,
    ! [SV135: $o] :
      ( ( ( ~ $false ) = $false )
      | ( $false = $false )
      | ( ( SV135 = $true )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2956]) ).

thf(3210,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2957]) ).

thf(3211,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2958]) ).

thf(3212,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2959]) ).

thf(3213,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2960]) ).

thf(3214,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2961]) ).

thf(3215,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2961]) ).

thf(3216,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2962]) ).

thf(3217,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2962]) ).

thf(3218,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2963]) ).

thf(3219,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2964]) ).

thf(3220,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2965]) ).

thf(3221,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2966]) ).

thf(3222,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2967]) ).

thf(3223,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2967]) ).

thf(3224,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2968]) ).

thf(3225,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2968]) ).

thf(3226,plain,
    ! [SV566: late_subject,SV393: name,SV147: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV147 @ ( fresh_717452603ubject @ SV393 @ SV566 ) ) )
        = $false )
      | ( ( perm_name_o @ SV147 @ ( fresh_717452603ubject @ SV393 @ SV566 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2969]) ).

thf(3227,plain,
    ! [SV566: late_subject,SV393: name,SV147: list_P227219501e_name] :
      ( ( ( ~ ( fresh_717452603ubject @ ( perm_name_name @ SV147 @ SV393 ) @ ( perm_n1559866809ubject @ SV147 @ SV566 ) ) )
        = $false )
      | ( ( perm_name_o @ SV147 @ ( fresh_717452603ubject @ SV393 @ SV566 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2969]) ).

thf(3228,plain,
    ! [SV566: late_subject,SV393: name,SV147: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV147 @ ( fresh_717452603ubject @ SV393 @ SV566 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( perm_name_name @ SV147 @ SV393 ) @ ( perm_n1559866809ubject @ SV147 @ SV566 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2970]) ).

thf(3229,plain,
    ! [SV566: late_subject,SV393: name,SV147: list_P227219501e_name] :
      ( ( ( ~ ( fresh_717452603ubject @ ( perm_name_name @ SV147 @ SV393 ) @ ( perm_n1559866809ubject @ SV147 @ SV566 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( perm_name_name @ SV147 @ SV393 ) @ ( perm_n1559866809ubject @ SV147 @ SV566 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2970]) ).

thf(3230,plain,
    ! [SV567: late_freeRes,SV394: name,SV148: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV148 @ ( fresh_1641682979reeRes @ SV394 @ SV567 ) ) )
        = $false )
      | ( ( perm_name_o @ SV148 @ ( fresh_1641682979reeRes @ SV394 @ SV567 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2971]) ).

thf(3231,plain,
    ! [SV567: late_freeRes,SV394: name,SV148: list_P227219501e_name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( perm_name_name @ SV148 @ SV394 ) @ ( perm_n336613537reeRes @ SV148 @ SV567 ) ) )
        = $false )
      | ( ( perm_name_o @ SV148 @ ( fresh_1641682979reeRes @ SV394 @ SV567 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2971]) ).

thf(3232,plain,
    ! [SV567: late_freeRes,SV394: name,SV148: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV148 @ ( fresh_1641682979reeRes @ SV394 @ SV567 ) ) )
        = $false )
      | ( ( fresh_1641682979reeRes @ ( perm_name_name @ SV148 @ SV394 ) @ ( perm_n336613537reeRes @ SV148 @ SV567 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2972]) ).

thf(3233,plain,
    ! [SV567: late_freeRes,SV394: name,SV148: list_P227219501e_name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( perm_name_name @ SV148 @ SV394 ) @ ( perm_n336613537reeRes @ SV148 @ SV567 ) ) )
        = $false )
      | ( ( fresh_1641682979reeRes @ ( perm_name_name @ SV148 @ SV394 ) @ ( perm_n336613537reeRes @ SV148 @ SV567 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2972]) ).

thf(3234,plain,
    ! [SV568: pi_Rep,SV395: name,SV149: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV149 @ ( fresh_name_pi_Rep @ SV395 @ SV568 ) ) )
        = $false )
      | ( ( perm_name_o @ SV149 @ ( fresh_name_pi_Rep @ SV395 @ SV568 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2973]) ).

thf(3235,plain,
    ! [SV568: pi_Rep,SV395: name,SV149: list_P227219501e_name] :
      ( ( ( ~ ( fresh_name_pi_Rep @ ( perm_name_name @ SV149 @ SV395 ) @ ( perm_name_pi_Rep @ SV149 @ SV568 ) ) )
        = $false )
      | ( ( perm_name_o @ SV149 @ ( fresh_name_pi_Rep @ SV395 @ SV568 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2973]) ).

thf(3236,plain,
    ! [SV568: pi_Rep,SV395: name,SV149: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV149 @ ( fresh_name_pi_Rep @ SV395 @ SV568 ) ) )
        = $false )
      | ( ( fresh_name_pi_Rep @ ( perm_name_name @ SV149 @ SV395 ) @ ( perm_name_pi_Rep @ SV149 @ SV568 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2974]) ).

thf(3237,plain,
    ! [SV568: pi_Rep,SV395: name,SV149: list_P227219501e_name] :
      ( ( ( ~ ( fresh_name_pi_Rep @ ( perm_name_name @ SV149 @ SV395 ) @ ( perm_name_pi_Rep @ SV149 @ SV568 ) ) )
        = $false )
      | ( ( fresh_name_pi_Rep @ ( perm_name_name @ SV149 @ SV395 ) @ ( perm_name_pi_Rep @ SV149 @ SV568 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2974]) ).

thf(3238,plain,
    ! [SV569: product_unit,SV396: name,SV150: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV150 @ ( fresh_1143631827t_unit @ SV396 @ SV569 ) ) )
        = $false )
      | ( ( perm_name_o @ SV150 @ ( fresh_1143631827t_unit @ SV396 @ SV569 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2975]) ).

thf(3239,plain,
    ! [SV569: product_unit,SV396: name,SV150: list_P227219501e_name] :
      ( ( ( ~ ( fresh_1143631827t_unit @ ( perm_name_name @ SV150 @ SV396 ) @ ( perm_n1960409557t_unit @ SV150 @ SV569 ) ) )
        = $false )
      | ( ( perm_name_o @ SV150 @ ( fresh_1143631827t_unit @ SV396 @ SV569 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2975]) ).

thf(3240,plain,
    ! [SV569: product_unit,SV396: name,SV150: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV150 @ ( fresh_1143631827t_unit @ SV396 @ SV569 ) ) )
        = $false )
      | ( ( fresh_1143631827t_unit @ ( perm_name_name @ SV150 @ SV396 ) @ ( perm_n1960409557t_unit @ SV150 @ SV569 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2976]) ).

thf(3241,plain,
    ! [SV569: product_unit,SV396: name,SV150: list_P227219501e_name] :
      ( ( ( ~ ( fresh_1143631827t_unit @ ( perm_name_name @ SV150 @ SV396 ) @ ( perm_n1960409557t_unit @ SV150 @ SV569 ) ) )
        = $false )
      | ( ( fresh_1143631827t_unit @ ( perm_name_name @ SV150 @ SV396 ) @ ( perm_n1960409557t_unit @ SV150 @ SV569 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2976]) ).

thf(3242,plain,
    ! [SV570: produc1141751126_pi_pi,SV397: name,SV151: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV151 @ ( fresh_1376661020_pi_pi @ SV397 @ SV570 ) ) )
        = $false )
      | ( ( perm_name_o @ SV151 @ ( fresh_1376661020_pi_pi @ SV397 @ SV570 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2977]) ).

thf(3243,plain,
    ! [SV570: produc1141751126_pi_pi,SV397: name,SV151: list_P227219501e_name] :
      ( ( ( ~ ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV151 @ SV397 ) @ ( perm_n1255502110_pi_pi @ SV151 @ SV570 ) ) )
        = $false )
      | ( ( perm_name_o @ SV151 @ ( fresh_1376661020_pi_pi @ SV397 @ SV570 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2977]) ).

thf(3244,plain,
    ! [SV570: produc1141751126_pi_pi,SV397: name,SV151: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV151 @ ( fresh_1376661020_pi_pi @ SV397 @ SV570 ) ) )
        = $false )
      | ( ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV151 @ SV397 ) @ ( perm_n1255502110_pi_pi @ SV151 @ SV570 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2978]) ).

thf(3245,plain,
    ! [SV570: produc1141751126_pi_pi,SV397: name,SV151: list_P227219501e_name] :
      ( ( ( ~ ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV151 @ SV397 ) @ ( perm_n1255502110_pi_pi @ SV151 @ SV570 ) ) )
        = $false )
      | ( ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV151 @ SV397 ) @ ( perm_n1255502110_pi_pi @ SV151 @ SV570 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2978]) ).

thf(3246,plain,
    ! [SV571: name,SV398: name,SV152: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV152 @ ( fresh_name_name @ SV398 @ SV571 ) ) )
        = $false )
      | ( ( perm_name_o @ SV152 @ ( fresh_name_name @ SV398 @ SV571 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2979]) ).

thf(3247,plain,
    ! [SV571: name,SV398: name,SV152: list_P227219501e_name] :
      ( ( ( ~ ( fresh_name_name @ ( perm_name_name @ SV152 @ SV398 ) @ ( perm_name_name @ SV152 @ SV571 ) ) )
        = $false )
      | ( ( perm_name_o @ SV152 @ ( fresh_name_name @ SV398 @ SV571 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2979]) ).

thf(3248,plain,
    ! [SV571: name,SV398: name,SV152: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV152 @ ( fresh_name_name @ SV398 @ SV571 ) ) )
        = $false )
      | ( ( fresh_name_name @ ( perm_name_name @ SV152 @ SV398 ) @ ( perm_name_name @ SV152 @ SV571 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2980]) ).

thf(3249,plain,
    ! [SV571: name,SV398: name,SV152: list_P227219501e_name] :
      ( ( ( ~ ( fresh_name_name @ ( perm_name_name @ SV152 @ SV398 ) @ ( perm_name_name @ SV152 @ SV571 ) ) )
        = $false )
      | ( ( fresh_name_name @ ( perm_name_name @ SV152 @ SV398 ) @ ( perm_name_name @ SV152 @ SV571 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2980]) ).

thf(3250,plain,
    ! [SV572: pi,SV399: name,SV153: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV153 @ ( fresh_name_pi @ SV399 @ SV572 ) ) )
        = $false )
      | ( ( perm_name_o @ SV153 @ ( fresh_name_pi @ SV399 @ SV572 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2981]) ).

thf(3251,plain,
    ! [SV572: pi,SV399: name,SV153: list_P227219501e_name] :
      ( ( ( ~ ( fresh_name_pi @ ( perm_name_name @ SV153 @ SV399 ) @ ( perm_name_pi @ SV153 @ SV572 ) ) )
        = $false )
      | ( ( perm_name_o @ SV153 @ ( fresh_name_pi @ SV399 @ SV572 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2981]) ).

thf(3252,plain,
    ! [SV572: pi,SV399: name,SV153: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV153 @ ( fresh_name_pi @ SV399 @ SV572 ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( perm_name_name @ SV153 @ SV399 ) @ ( perm_name_pi @ SV153 @ SV572 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2982]) ).

thf(3253,plain,
    ! [SV572: pi,SV399: name,SV153: list_P227219501e_name] :
      ( ( ( ~ ( fresh_name_pi @ ( perm_name_name @ SV153 @ SV399 ) @ ( perm_name_pi @ SV153 @ SV572 ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( perm_name_name @ SV153 @ SV399 ) @ ( perm_name_pi @ SV153 @ SV572 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2982]) ).

thf(3254,plain,
    ! [SV573: name > noption_pi,SV400: name,SV154: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV154 @ ( fresh_543891186ion_pi @ SV400 @ SV573 ) ) )
        = $false )
      | ( ( perm_name_o @ SV154 @ ( fresh_543891186ion_pi @ SV400 @ SV573 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2983]) ).

thf(3255,plain,
    ! [SV573: name > noption_pi,SV400: name,SV154: list_P227219501e_name] :
      ( ( ( ~ ( fresh_543891186ion_pi @ ( perm_name_name @ SV154 @ SV400 ) @ ( perm_n1667196784ion_pi @ SV154 @ SV573 ) ) )
        = $false )
      | ( ( perm_name_o @ SV154 @ ( fresh_543891186ion_pi @ SV400 @ SV573 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2983]) ).

thf(3256,plain,
    ! [SV573: name > noption_pi,SV400: name,SV154: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV154 @ ( fresh_543891186ion_pi @ SV400 @ SV573 ) ) )
        = $false )
      | ( ( fresh_543891186ion_pi @ ( perm_name_name @ SV154 @ SV400 ) @ ( perm_n1667196784ion_pi @ SV154 @ SV573 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2984]) ).

thf(3257,plain,
    ! [SV573: name > noption_pi,SV400: name,SV154: list_P227219501e_name] :
      ( ( ( ~ ( fresh_543891186ion_pi @ ( perm_name_name @ SV154 @ SV400 ) @ ( perm_n1667196784ion_pi @ SV154 @ SV573 ) ) )
        = $false )
      | ( ( fresh_543891186ion_pi @ ( perm_name_name @ SV154 @ SV400 ) @ ( perm_n1667196784ion_pi @ SV154 @ SV573 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2984]) ).

thf(3258,plain,
    ! [SV574: late_subject,SV401: name,SV155: list_P227219501e_name] :
      ( ( ( ~ ( fresh_717452603ubject @ ( perm_name_name @ SV155 @ SV401 ) @ ( perm_n1559866809ubject @ SV155 @ SV574 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( perm_name_name @ SV155 @ SV401 ) @ ( perm_n1559866809ubject @ SV155 @ SV574 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2985]) ).

thf(3259,plain,
    ! [SV155: list_P227219501e_name,SV574: late_subject,SV401: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV401 @ SV574 ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( perm_name_name @ SV155 @ SV401 ) @ ( perm_n1559866809ubject @ SV155 @ SV574 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2985]) ).

thf(3260,plain,
    ! [SV574: late_subject,SV401: name,SV155: list_P227219501e_name] :
      ( ( ( ~ ( fresh_717452603ubject @ ( perm_name_name @ SV155 @ SV401 ) @ ( perm_n1559866809ubject @ SV155 @ SV574 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ SV401 @ SV574 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2986]) ).

thf(3261,plain,
    ! [SV574: late_subject,SV401: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV401 @ SV574 ) )
        = $false )
      | ( ( fresh_717452603ubject @ SV401 @ SV574 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2986]) ).

thf(3262,plain,
    ! [SV575: late_freeRes,SV402: name,SV156: list_P227219501e_name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( perm_name_name @ SV156 @ SV402 ) @ ( perm_n336613537reeRes @ SV156 @ SV575 ) ) )
        = $false )
      | ( ( fresh_1641682979reeRes @ ( perm_name_name @ SV156 @ SV402 ) @ ( perm_n336613537reeRes @ SV156 @ SV575 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2987]) ).

thf(3263,plain,
    ! [SV156: list_P227219501e_name,SV575: late_freeRes,SV402: name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ SV402 @ SV575 ) )
        = $false )
      | ( ( fresh_1641682979reeRes @ ( perm_name_name @ SV156 @ SV402 ) @ ( perm_n336613537reeRes @ SV156 @ SV575 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2987]) ).

thf(3264,plain,
    ! [SV575: late_freeRes,SV402: name,SV156: list_P227219501e_name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( perm_name_name @ SV156 @ SV402 ) @ ( perm_n336613537reeRes @ SV156 @ SV575 ) ) )
        = $false )
      | ( ( fresh_1641682979reeRes @ SV402 @ SV575 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2988]) ).

thf(3265,plain,
    ! [SV575: late_freeRes,SV402: name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ SV402 @ SV575 ) )
        = $false )
      | ( ( fresh_1641682979reeRes @ SV402 @ SV575 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2988]) ).

thf(3266,plain,
    ! [SV576: pi_Rep,SV403: name,SV157: list_P227219501e_name] :
      ( ( ( ~ ( fresh_name_pi_Rep @ ( perm_name_name @ SV157 @ SV403 ) @ ( perm_name_pi_Rep @ SV157 @ SV576 ) ) )
        = $false )
      | ( ( fresh_name_pi_Rep @ ( perm_name_name @ SV157 @ SV403 ) @ ( perm_name_pi_Rep @ SV157 @ SV576 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2989]) ).

thf(3267,plain,
    ! [SV157: list_P227219501e_name,SV576: pi_Rep,SV403: name] :
      ( ( ( ~ ( fresh_name_pi_Rep @ SV403 @ SV576 ) )
        = $false )
      | ( ( fresh_name_pi_Rep @ ( perm_name_name @ SV157 @ SV403 ) @ ( perm_name_pi_Rep @ SV157 @ SV576 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2989]) ).

thf(3268,plain,
    ! [SV576: pi_Rep,SV403: name,SV157: list_P227219501e_name] :
      ( ( ( ~ ( fresh_name_pi_Rep @ ( perm_name_name @ SV157 @ SV403 ) @ ( perm_name_pi_Rep @ SV157 @ SV576 ) ) )
        = $false )
      | ( ( fresh_name_pi_Rep @ SV403 @ SV576 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2990]) ).

thf(3269,plain,
    ! [SV576: pi_Rep,SV403: name] :
      ( ( ( ~ ( fresh_name_pi_Rep @ SV403 @ SV576 ) )
        = $false )
      | ( ( fresh_name_pi_Rep @ SV403 @ SV576 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2990]) ).

thf(3270,plain,
    ! [SV577: product_unit,SV404: name,SV158: list_P227219501e_name] :
      ( ( ( ~ ( fresh_1143631827t_unit @ ( perm_name_name @ SV158 @ SV404 ) @ ( perm_n1960409557t_unit @ SV158 @ SV577 ) ) )
        = $false )
      | ( ( fresh_1143631827t_unit @ ( perm_name_name @ SV158 @ SV404 ) @ ( perm_n1960409557t_unit @ SV158 @ SV577 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2991]) ).

thf(3271,plain,
    ! [SV158: list_P227219501e_name,SV577: product_unit,SV404: name] :
      ( ( ( ~ ( fresh_1143631827t_unit @ SV404 @ SV577 ) )
        = $false )
      | ( ( fresh_1143631827t_unit @ ( perm_name_name @ SV158 @ SV404 ) @ ( perm_n1960409557t_unit @ SV158 @ SV577 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2991]) ).

thf(3272,plain,
    ! [SV577: product_unit,SV404: name,SV158: list_P227219501e_name] :
      ( ( ( ~ ( fresh_1143631827t_unit @ ( perm_name_name @ SV158 @ SV404 ) @ ( perm_n1960409557t_unit @ SV158 @ SV577 ) ) )
        = $false )
      | ( ( fresh_1143631827t_unit @ SV404 @ SV577 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2992]) ).

thf(3273,plain,
    ! [SV577: product_unit,SV404: name] :
      ( ( ( ~ ( fresh_1143631827t_unit @ SV404 @ SV577 ) )
        = $false )
      | ( ( fresh_1143631827t_unit @ SV404 @ SV577 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2992]) ).

thf(3274,plain,
    ! [SV578: produc1141751126_pi_pi,SV405: name,SV159: list_P227219501e_name] :
      ( ( ( ~ ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV159 @ SV405 ) @ ( perm_n1255502110_pi_pi @ SV159 @ SV578 ) ) )
        = $false )
      | ( ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV159 @ SV405 ) @ ( perm_n1255502110_pi_pi @ SV159 @ SV578 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2993]) ).

thf(3275,plain,
    ! [SV159: list_P227219501e_name,SV578: produc1141751126_pi_pi,SV405: name] :
      ( ( ( ~ ( fresh_1376661020_pi_pi @ SV405 @ SV578 ) )
        = $false )
      | ( ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV159 @ SV405 ) @ ( perm_n1255502110_pi_pi @ SV159 @ SV578 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2993]) ).

thf(3276,plain,
    ! [SV578: produc1141751126_pi_pi,SV405: name,SV159: list_P227219501e_name] :
      ( ( ( ~ ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV159 @ SV405 ) @ ( perm_n1255502110_pi_pi @ SV159 @ SV578 ) ) )
        = $false )
      | ( ( fresh_1376661020_pi_pi @ SV405 @ SV578 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2994]) ).

thf(3277,plain,
    ! [SV578: produc1141751126_pi_pi,SV405: name] :
      ( ( ( ~ ( fresh_1376661020_pi_pi @ SV405 @ SV578 ) )
        = $false )
      | ( ( fresh_1376661020_pi_pi @ SV405 @ SV578 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2994]) ).

thf(3278,plain,
    ! [SV579: name,SV406: name,SV160: list_P227219501e_name] :
      ( ( ( ~ ( fresh_name_name @ ( perm_name_name @ SV160 @ SV406 ) @ ( perm_name_name @ SV160 @ SV579 ) ) )
        = $false )
      | ( ( fresh_name_name @ ( perm_name_name @ SV160 @ SV406 ) @ ( perm_name_name @ SV160 @ SV579 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2995]) ).

thf(3279,plain,
    ! [SV160: list_P227219501e_name,SV579: name,SV406: name] :
      ( ( ( ~ ( fresh_name_name @ SV406 @ SV579 ) )
        = $false )
      | ( ( fresh_name_name @ ( perm_name_name @ SV160 @ SV406 ) @ ( perm_name_name @ SV160 @ SV579 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2995]) ).

thf(3280,plain,
    ! [SV579: name,SV406: name,SV160: list_P227219501e_name] :
      ( ( ( ~ ( fresh_name_name @ ( perm_name_name @ SV160 @ SV406 ) @ ( perm_name_name @ SV160 @ SV579 ) ) )
        = $false )
      | ( ( fresh_name_name @ SV406 @ SV579 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2996]) ).

thf(3281,plain,
    ! [SV579: name,SV406: name] :
      ( ( ( ~ ( fresh_name_name @ SV406 @ SV579 ) )
        = $false )
      | ( ( fresh_name_name @ SV406 @ SV579 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2996]) ).

thf(3282,plain,
    ! [SV580: name > noption_pi,SV407: name,SV161: list_P227219501e_name] :
      ( ( ( ~ ( fresh_543891186ion_pi @ ( perm_name_name @ SV161 @ SV407 ) @ ( perm_n1667196784ion_pi @ SV161 @ SV580 ) ) )
        = $false )
      | ( ( fresh_543891186ion_pi @ ( perm_name_name @ SV161 @ SV407 ) @ ( perm_n1667196784ion_pi @ SV161 @ SV580 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2997]) ).

thf(3283,plain,
    ! [SV161: list_P227219501e_name,SV580: name > noption_pi,SV407: name] :
      ( ( ( ~ ( fresh_543891186ion_pi @ SV407 @ SV580 ) )
        = $false )
      | ( ( fresh_543891186ion_pi @ ( perm_name_name @ SV161 @ SV407 ) @ ( perm_n1667196784ion_pi @ SV161 @ SV580 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2997]) ).

thf(3284,plain,
    ! [SV580: name > noption_pi,SV407: name,SV161: list_P227219501e_name] :
      ( ( ( ~ ( fresh_543891186ion_pi @ ( perm_name_name @ SV161 @ SV407 ) @ ( perm_n1667196784ion_pi @ SV161 @ SV580 ) ) )
        = $false )
      | ( ( fresh_543891186ion_pi @ SV407 @ SV580 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2998]) ).

thf(3285,plain,
    ! [SV580: name > noption_pi,SV407: name] :
      ( ( ( ~ ( fresh_543891186ion_pi @ SV407 @ SV580 ) )
        = $false )
      | ( ( fresh_543891186ion_pi @ SV407 @ SV580 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2998]) ).

thf(3286,plain,
    ! [SV593: late_subject,SV420: late_subject,SV174: list_P227219501e_name] :
      ( ( ( ( perm_n1559866809ubject @ SV174 @ SV420 )
         != ( perm_n1559866809ubject @ SV174 @ SV593 ) )
        = $false )
      | ( ( ( perm_n1559866809ubject @ SV174 @ SV420 )
          = ( perm_n1559866809ubject @ SV174 @ SV593 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2999]) ).

thf(3287,plain,
    ! [SV174: list_P227219501e_name,SV593: late_subject,SV420: late_subject] :
      ( ( ( SV420 != SV593 )
        = $false )
      | ( ( ( perm_n1559866809ubject @ SV174 @ SV420 )
          = ( perm_n1559866809ubject @ SV174 @ SV593 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2999]) ).

thf(3288,plain,
    ! [SV593: late_subject,SV420: late_subject,SV174: list_P227219501e_name] :
      ( ( ( ( perm_n1559866809ubject @ SV174 @ SV420 )
         != ( perm_n1559866809ubject @ SV174 @ SV593 ) )
        = $false )
      | ( ( SV420 = SV593 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3000]) ).

thf(3289,plain,
    ! [SV593: late_subject,SV420: late_subject] :
      ( ( ( SV420 != SV593 )
        = $false )
      | ( ( SV420 = SV593 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3000]) ).

thf(3290,plain,
    ! [SV594: late_freeRes,SV421: late_freeRes,SV175: list_P227219501e_name] :
      ( ( ( ( perm_n336613537reeRes @ SV175 @ SV421 )
         != ( perm_n336613537reeRes @ SV175 @ SV594 ) )
        = $false )
      | ( ( ( perm_n336613537reeRes @ SV175 @ SV421 )
          = ( perm_n336613537reeRes @ SV175 @ SV594 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3001]) ).

thf(3291,plain,
    ! [SV175: list_P227219501e_name,SV594: late_freeRes,SV421: late_freeRes] :
      ( ( ( SV421 != SV594 )
        = $false )
      | ( ( ( perm_n336613537reeRes @ SV175 @ SV421 )
          = ( perm_n336613537reeRes @ SV175 @ SV594 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3001]) ).

thf(3292,plain,
    ! [SV594: late_freeRes,SV421: late_freeRes,SV175: list_P227219501e_name] :
      ( ( ( ( perm_n336613537reeRes @ SV175 @ SV421 )
         != ( perm_n336613537reeRes @ SV175 @ SV594 ) )
        = $false )
      | ( ( SV421 = SV594 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3002]) ).

thf(3293,plain,
    ! [SV594: late_freeRes,SV421: late_freeRes] :
      ( ( ( SV421 != SV594 )
        = $false )
      | ( ( SV421 = SV594 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3002]) ).

thf(3294,plain,
    ! [SV595: pi_Rep,SV422: pi_Rep,SV176: list_P227219501e_name] :
      ( ( ( ( perm_name_pi_Rep @ SV176 @ SV422 )
         != ( perm_name_pi_Rep @ SV176 @ SV595 ) )
        = $false )
      | ( ( ( perm_name_pi_Rep @ SV176 @ SV422 )
          = ( perm_name_pi_Rep @ SV176 @ SV595 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3003]) ).

thf(3295,plain,
    ! [SV176: list_P227219501e_name,SV595: pi_Rep,SV422: pi_Rep] :
      ( ( ( SV422 != SV595 )
        = $false )
      | ( ( ( perm_name_pi_Rep @ SV176 @ SV422 )
          = ( perm_name_pi_Rep @ SV176 @ SV595 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3003]) ).

thf(3296,plain,
    ! [SV595: pi_Rep,SV422: pi_Rep,SV176: list_P227219501e_name] :
      ( ( ( ( perm_name_pi_Rep @ SV176 @ SV422 )
         != ( perm_name_pi_Rep @ SV176 @ SV595 ) )
        = $false )
      | ( ( SV422 = SV595 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3004]) ).

thf(3297,plain,
    ! [SV595: pi_Rep,SV422: pi_Rep] :
      ( ( ( SV422 != SV595 )
        = $false )
      | ( ( SV422 = SV595 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3004]) ).

thf(3298,plain,
    ! [SV596: name,SV423: name,SV177: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV177 @ SV423 )
         != ( perm_name_name @ SV177 @ SV596 ) )
        = $false )
      | ( ( ( perm_name_name @ SV177 @ SV423 )
          = ( perm_name_name @ SV177 @ SV596 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3005]) ).

thf(3299,plain,
    ! [SV177: list_P227219501e_name,SV596: name,SV423: name] :
      ( ( ( SV423 != SV596 )
        = $false )
      | ( ( ( perm_name_name @ SV177 @ SV423 )
          = ( perm_name_name @ SV177 @ SV596 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3005]) ).

thf(3300,plain,
    ! [SV596: name,SV423: name,SV177: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV177 @ SV423 )
         != ( perm_name_name @ SV177 @ SV596 ) )
        = $false )
      | ( ( SV423 = SV596 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3006]) ).

thf(3301,plain,
    ! [SV596: name,SV423: name] :
      ( ( ( SV423 != SV596 )
        = $false )
      | ( ( SV423 = SV596 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3006]) ).

thf(3302,plain,
    ! [SV605: late_subject,SV432: late_subject,SV186: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV186 @ ( SV432 = SV605 ) ) )
        = $false )
      | ( ( perm_name_o @ SV186 @ ( SV432 = SV605 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3007]) ).

thf(3303,plain,
    ! [SV605: late_subject,SV432: late_subject,SV186: list_P227219501e_name] :
      ( ( ( ( perm_n1559866809ubject @ SV186 @ SV432 )
         != ( perm_n1559866809ubject @ SV186 @ SV605 ) )
        = $false )
      | ( ( perm_name_o @ SV186 @ ( SV432 = SV605 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3007]) ).

thf(3304,plain,
    ! [SV605: late_subject,SV432: late_subject,SV186: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV186 @ ( SV432 = SV605 ) ) )
        = $false )
      | ( ( ( perm_n1559866809ubject @ SV186 @ SV432 )
          = ( perm_n1559866809ubject @ SV186 @ SV605 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3008]) ).

thf(3305,plain,
    ! [SV605: late_subject,SV432: late_subject,SV186: list_P227219501e_name] :
      ( ( ( ( perm_n1559866809ubject @ SV186 @ SV432 )
         != ( perm_n1559866809ubject @ SV186 @ SV605 ) )
        = $false )
      | ( ( ( perm_n1559866809ubject @ SV186 @ SV432 )
          = ( perm_n1559866809ubject @ SV186 @ SV605 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3008]) ).

thf(3306,plain,
    ! [SV606: late_freeRes,SV433: late_freeRes,SV187: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV187 @ ( SV433 = SV606 ) ) )
        = $false )
      | ( ( perm_name_o @ SV187 @ ( SV433 = SV606 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3009]) ).

thf(3307,plain,
    ! [SV606: late_freeRes,SV433: late_freeRes,SV187: list_P227219501e_name] :
      ( ( ( ( perm_n336613537reeRes @ SV187 @ SV433 )
         != ( perm_n336613537reeRes @ SV187 @ SV606 ) )
        = $false )
      | ( ( perm_name_o @ SV187 @ ( SV433 = SV606 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3009]) ).

thf(3308,plain,
    ! [SV606: late_freeRes,SV433: late_freeRes,SV187: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV187 @ ( SV433 = SV606 ) ) )
        = $false )
      | ( ( ( perm_n336613537reeRes @ SV187 @ SV433 )
          = ( perm_n336613537reeRes @ SV187 @ SV606 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3010]) ).

thf(3309,plain,
    ! [SV606: late_freeRes,SV433: late_freeRes,SV187: list_P227219501e_name] :
      ( ( ( ( perm_n336613537reeRes @ SV187 @ SV433 )
         != ( perm_n336613537reeRes @ SV187 @ SV606 ) )
        = $false )
      | ( ( ( perm_n336613537reeRes @ SV187 @ SV433 )
          = ( perm_n336613537reeRes @ SV187 @ SV606 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3010]) ).

thf(3310,plain,
    ! [SV607: pi_Rep,SV434: pi_Rep,SV188: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV188 @ ( SV434 = SV607 ) ) )
        = $false )
      | ( ( perm_name_o @ SV188 @ ( SV434 = SV607 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3011]) ).

thf(3311,plain,
    ! [SV607: pi_Rep,SV434: pi_Rep,SV188: list_P227219501e_name] :
      ( ( ( ( perm_name_pi_Rep @ SV188 @ SV434 )
         != ( perm_name_pi_Rep @ SV188 @ SV607 ) )
        = $false )
      | ( ( perm_name_o @ SV188 @ ( SV434 = SV607 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3011]) ).

thf(3312,plain,
    ! [SV607: pi_Rep,SV434: pi_Rep,SV188: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV188 @ ( SV434 = SV607 ) ) )
        = $false )
      | ( ( ( perm_name_pi_Rep @ SV188 @ SV434 )
          = ( perm_name_pi_Rep @ SV188 @ SV607 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3012]) ).

thf(3313,plain,
    ! [SV607: pi_Rep,SV434: pi_Rep,SV188: list_P227219501e_name] :
      ( ( ( ( perm_name_pi_Rep @ SV188 @ SV434 )
         != ( perm_name_pi_Rep @ SV188 @ SV607 ) )
        = $false )
      | ( ( ( perm_name_pi_Rep @ SV188 @ SV434 )
          = ( perm_name_pi_Rep @ SV188 @ SV607 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3012]) ).

thf(3314,plain,
    ! [SV608: name,SV435: name,SV189: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV189 @ ( SV435 = SV608 ) ) )
        = $false )
      | ( ( perm_name_o @ SV189 @ ( SV435 = SV608 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3013]) ).

thf(3315,plain,
    ! [SV608: name,SV435: name,SV189: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV189 @ SV435 )
         != ( perm_name_name @ SV189 @ SV608 ) )
        = $false )
      | ( ( perm_name_o @ SV189 @ ( SV435 = SV608 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3013]) ).

thf(3316,plain,
    ! [SV608: name,SV435: name,SV189: list_P227219501e_name] :
      ( ( ( ~ ( perm_name_o @ SV189 @ ( SV435 = SV608 ) ) )
        = $false )
      | ( ( ( perm_name_name @ SV189 @ SV435 )
          = ( perm_name_name @ SV189 @ SV608 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3014]) ).

thf(3317,plain,
    ! [SV608: name,SV435: name,SV189: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV189 @ SV435 )
         != ( perm_name_name @ SV189 @ SV608 ) )
        = $false )
      | ( ( ( perm_name_name @ SV189 @ SV435 )
          = ( perm_name_name @ SV189 @ SV608 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3014]) ).

thf(3318,plain,
    ! [SV680: pi,SV609: name,SV190: pi,SV925: pi,SV834: name,SV436: name,SV754: pi] :
      ( ( ( ~ ( late_transitions @ SV754 @ ( late_BoundR @ ( late_InputS @ SV436 ) @ SV834 @ SV925 ) )
          | ~ ( fresh_name_pi @ SV834 @ SV190 )
          | ~ ( fresh_name_pi @ SV834 @ SV754 )
          | ~ ( fresh_name_pi @ SV609 @ SV190 )
          | ~ ( fresh_name_pi @ SV609 @ SV754 )
          | ( SV834 = SV436 )
          | ~ ( fresh_name_pi @ SV834 @ SV680 )
          | ( SV609 = SV436 )
          | ~ ( fresh_name_pi @ SV609 @ SV925 )
          | ( SV834 = SV609 )
          | ( late_transitions @ ( par @ SV190 @ SV754 ) @ ( late_FreeR @ late_TauR @ ( res @ SV609 @ ( par @ SV680 @ ( subs @ SV925 @ SV834 @ SV609 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV190 @ ( late_BoundR @ ( late_BoundOutputS @ SV436 ) @ SV609 @ SV680 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3015]) ).

thf(3319,plain,
    ! [SV681: pi,SV191: pi,SV610: name,SV926: pi,SV835: name,SV437: name,SV755: pi] :
      ( ( ( ~ ( late_transitions @ SV755 @ ( late_BoundR @ ( late_BoundOutputS @ SV437 ) @ SV835 @ SV926 ) )
          | ~ ( fresh_name_pi @ SV610 @ SV191 )
          | ~ ( fresh_name_pi @ SV610 @ SV755 )
          | ~ ( fresh_name_pi @ SV835 @ SV191 )
          | ~ ( fresh_name_pi @ SV835 @ SV755 )
          | ( SV610 = SV437 )
          | ~ ( fresh_name_pi @ SV610 @ SV926 )
          | ( SV835 = SV437 )
          | ~ ( fresh_name_pi @ SV835 @ SV681 )
          | ( SV610 = SV835 )
          | ( late_transitions @ ( par @ SV191 @ SV755 ) @ ( late_FreeR @ late_TauR @ ( res @ SV835 @ ( par @ ( subs @ SV681 @ SV610 @ SV835 ) @ SV926 ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV191 @ ( late_BoundR @ ( late_InputS @ SV437 ) @ SV610 @ SV681 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3016]) ).

thf(3320,plain,
    ! [SV682: pi,SV192: pi,SV611: name,SV927: pi,SV836: name,SV438: name,SV756: pi] :
      ( ( ( ~ ( late_transitions @ SV756 @ ( late_BoundR @ ( late_InputS @ SV438 ) @ SV836 @ SV927 ) )
          | ~ ( fresh_name_pi @ SV611 @ SV756 )
          | ( late_transitions @ ( par @ SV192 @ SV756 ) @ ( late_FreeR @ late_TauR @ ( res @ SV611 @ ( par @ SV682 @ ( subs @ SV927 @ SV836 @ SV611 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV192 @ ( late_BoundR @ ( late_BoundOutputS @ SV438 ) @ SV611 @ SV682 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3017]) ).

thf(3321,plain,
    ! [SV612: name,SV683: pi,SV193: pi,SV928: pi,SV837: name,SV439: name,SV757: pi] :
      ( ( ( ~ ( late_transitions @ SV757 @ ( late_BoundR @ ( late_BoundOutputS @ SV439 ) @ SV837 @ SV928 ) )
          | ~ ( fresh_name_pi @ SV837 @ SV193 )
          | ( late_transitions @ ( par @ SV193 @ SV757 ) @ ( late_FreeR @ late_TauR @ ( res @ SV837 @ ( par @ ( subs @ SV683 @ SV612 @ SV837 ) @ SV928 ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV193 @ ( late_BoundR @ ( late_InputS @ SV439 ) @ SV612 @ SV683 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3018]) ).

thf(3322,plain,
    ! [SV684: pi,SV613: name,SV194: pi,SV929: pi,SV838: name,SV440: name,SV758: pi] :
      ( ( ( ~ ( late_transitions @ SV758 @ ( late_BoundR @ ( late_InputS @ SV440 ) @ SV838 @ SV929 ) )
          | ~ ( fresh_name_pi @ SV838 @ SV194 )
          | ~ ( fresh_name_pi @ SV838 @ SV758 )
          | ( SV838 = SV440 )
          | ( SV838 = SV613 )
          | ~ ( fresh_name_pi @ SV838 @ SV684 )
          | ( late_transitions @ ( par @ SV194 @ SV758 ) @ ( late_FreeR @ late_TauR @ ( par @ SV684 @ ( subs @ SV929 @ SV838 @ SV613 ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV194 @ ( late_FreeR @ ( late_OutputR @ SV440 @ SV613 ) @ SV684 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3019]) ).

thf(3323,plain,
    ! [SV685: pi,SV195: pi,SV614: name,SV930: pi,SV839: name,SV441: name,SV759: pi] :
      ( ( ( ~ ( late_transitions @ SV759 @ ( late_FreeR @ ( late_OutputR @ SV441 @ SV839 ) @ SV930 ) )
          | ~ ( fresh_name_pi @ SV614 @ SV195 )
          | ~ ( fresh_name_pi @ SV614 @ SV759 )
          | ( SV614 = SV441 )
          | ( SV614 = SV839 )
          | ~ ( fresh_name_pi @ SV614 @ SV930 )
          | ( late_transitions @ ( par @ SV195 @ SV759 ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ SV685 @ SV614 @ SV839 ) @ SV930 ) ) ) )
        = $true )
      | ( ( late_transitions @ SV195 @ ( late_BoundR @ ( late_InputS @ SV441 ) @ SV614 @ SV685 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3020]) ).

thf(3324,plain,
    ! [SV615: name,SV686: pi,SV196: pi,SV931: pi,SV840: name,SV442: name,SV760: pi] :
      ( ( ( ~ ( late_transitions @ SV760 @ ( late_BoundR @ ( late_InputS @ SV442 ) @ SV840 @ SV931 ) )
          | ( late_transitions @ ( par @ SV196 @ SV760 ) @ ( late_FreeR @ late_TauR @ ( par @ SV686 @ ( subs @ SV931 @ SV840 @ SV615 ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV196 @ ( late_FreeR @ ( late_OutputR @ SV442 @ SV615 ) @ SV686 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3021]) ).

thf(3325,plain,
    ! [SV616: name,SV687: pi,SV197: pi,SV932: pi,SV841: name,SV443: name,SV761: pi] :
      ( ( ( ~ ( late_transitions @ SV761 @ ( late_FreeR @ ( late_OutputR @ SV443 @ SV841 ) @ SV932 ) )
          | ( late_transitions @ ( par @ SV197 @ SV761 ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ SV687 @ SV616 @ SV841 ) @ SV932 ) ) ) )
        = $true )
      | ( ( late_transitions @ SV197 @ ( late_BoundR @ ( late_InputS @ SV443 ) @ SV616 @ SV687 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3022]) ).

thf(3326,plain,
    ! [SV447: name,SV203: name] :
      ( ( ( fresh_717452603ubject @ SV203 @ ( late_InputS @ SV447 ) )
        = $true )
      | ( ( fresh_717452603ubject @ SV203 @ ( late_InputS @ SV447 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3023]) ).

thf(3327,plain,
    ! [SV447: name,SV203: name] :
      ( ( ( fresh_name_name @ SV203 @ SV447 )
        = $true )
      | ( ( fresh_717452603ubject @ SV203 @ ( late_InputS @ SV447 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3024]) ).

thf(3328,plain,
    ! [SV447: name,SV203: name] :
      ( ( ( fresh_717452603ubject @ SV203 @ ( late_InputS @ SV447 ) )
        = $true )
      | ( ( fresh_name_name @ SV203 @ SV447 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3025]) ).

thf(3329,plain,
    ! [SV447: name,SV203: name] :
      ( ( ( fresh_name_name @ SV203 @ SV447 )
        = $true )
      | ( ( fresh_name_name @ SV203 @ SV447 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3026]) ).

thf(3330,plain,
    ! [SV620: name,SV449: name,SV205: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV205 @ SV449 )
         != ( perm_name_name @ SV205 @ SV620 ) )
        = $false )
      | ( ( ( perm_name_name @ SV205 @ SV449 )
          = ( perm_name_name @ SV205 @ SV620 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3027]) ).

thf(3331,plain,
    ! [SV205: list_P227219501e_name,SV620: name,SV449: name] :
      ( ( ( SV449 != SV620 )
        = $false )
      | ( ( ( perm_name_name @ SV205 @ SV449 )
          = ( perm_name_name @ SV205 @ SV620 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3027]) ).

thf(3332,plain,
    ! [SV620: name,SV449: name,SV205: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV205 @ SV449 )
         != ( perm_name_name @ SV205 @ SV620 ) )
        = $false )
      | ( ( SV449 = SV620 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3028]) ).

thf(3333,plain,
    ! [SV620: name,SV449: name] :
      ( ( ( SV449 != SV620 )
        = $false )
      | ( ( SV449 = SV620 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3028]) ).

thf(3334,plain,
    ! [SV690: name,SV621: late_subject,SV452: pi,SV209: pi,SV762: set_Pr1834926343_pi_pi] :
      ( ( ( eqvt_pi @ SV762 )
        = $false )
      | ( ( ! [SY2353: list_P227219501e_name] : ( strong2129052853vative @ ( perm_name_pi @ SY2353 @ SV209 ) @ ( perm_name_pi @ SY2353 @ SV452 ) @ ( perm_n1559866809ubject @ SY2353 @ SV621 ) @ ( perm_name_name @ SY2353 @ SV690 ) @ SV762 ) )
        = $true )
      | ( ( strong2129052853vative @ SV209 @ SV452 @ SV621 @ SV690 @ SV762 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3030]) ).

thf(3335,plain,
    ! [SV691: name,SV453: name] :
      ( ( ( ~ ( fresh_name_name @ SV453 @ SV691 )
          | ~ ( ( SV453 != SV691 ) ) )
        = $false )
      | ( ( fresh_name_name @ SV453 @ SV691 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3031]) ).

thf(3336,plain,
    ! [SV691: name,SV453: name] :
      ( ( ( SV453 = SV691 )
        = $true )
      | ( ( ~ ( ~ ( fresh_name_name @ SV453 @ SV691 )
              | ~ ( ( SV453 != SV691 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3032]) ).

thf(3337,plain,
    ! [SV459: name,SV218: name] :
      ( ( ( ( late_InputS @ SV218 )
          = ( late_InputS @ SV459 ) )
        = $true )
      | ( ( ( late_InputS @ SV218 )
          = ( late_InputS @ SV459 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3033]) ).

thf(3338,plain,
    ! [SV459: name,SV218: name] :
      ( ( ( SV218 = SV459 )
        = $true )
      | ( ( ( late_InputS @ SV218 )
          = ( late_InputS @ SV459 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3034]) ).

thf(3339,plain,
    ! [SV459: name,SV218: name] :
      ( ( ( ( late_InputS @ SV218 )
          = ( late_InputS @ SV459 ) )
        = $true )
      | ( ( SV218 = SV459 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3035]) ).

thf(3340,plain,
    ! [SV459: name,SV218: name] :
      ( ( ( SV218 = SV459 )
        = $true )
      | ( ( SV218 = SV459 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3036]) ).

thf(3341,plain,
    ! [SV624: pi,SV462: name,SV224: name] :
      ( ( ( ~ ( fresh_name_pi @ SV224 @ ( res @ SV462 @ SV624 ) ) )
        = $false )
      | ( ( fresh_name_pi @ SV224 @ ( res @ SV462 @ SV624 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3037]) ).

thf(3342,plain,
    ! [SV624: pi,SV462: name,SV224: name] :
      ( ( ( ~ ( fresh_543891186ion_pi @ SV224 @ ( abs_fun_name_pi @ SV462 @ SV624 ) ) )
        = $false )
      | ( ( fresh_name_pi @ SV224 @ ( res @ SV462 @ SV624 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3037]) ).

thf(3343,plain,
    ! [SV624: pi,SV462: name,SV224: name] :
      ( ( ( ~ ( fresh_name_pi @ SV224 @ ( res @ SV462 @ SV624 ) ) )
        = $false )
      | ( ( fresh_543891186ion_pi @ SV224 @ ( abs_fun_name_pi @ SV462 @ SV624 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3038]) ).

thf(3344,plain,
    ! [SV624: pi,SV462: name,SV224: name] :
      ( ( ( ~ ( fresh_543891186ion_pi @ SV224 @ ( abs_fun_name_pi @ SV462 @ SV624 ) ) )
        = $false )
      | ( ( fresh_543891186ion_pi @ SV224 @ ( abs_fun_name_pi @ SV462 @ SV624 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3038]) ).

thf(3345,plain,
    ! [SV933: late_residual,SV842: pi,SV228: pi > late_residual > $o] :
      ( ( ( SV228 @ SV842 @ SV933 )
        = $true )
      | ( ( SV228 @ ( sK33_SY1010 @ SV228 ) @ ( late_FreeR @ ( sK31_FreeRes2 @ SV228 ) @ ( sK32_SY1008 @ SV228 ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK35_SY1011 @ SV228 ) @ ( sK37_SY1016 @ SV228 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3039]) ).

thf(3346,plain,
    ! [SV228: pi > late_residual > $o] :
      ( ( ( ~ ( SV228 @ ( sK33_SY1010 @ SV228 ) @ ( late_FreeR @ ( sK31_FreeRes2 @ SV228 ) @ ( sK32_SY1008 @ SV228 ) ) ) )
        = $true )
      | ( ( ! [SY1593: pi,SY1594: late_residual] : ( SV228 @ SY1593 @ SY1594 ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK35_SY1011 @ SV228 ) @ ( sK34_Subject2 @ SV228 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3040]) ).

thf(3347,plain,
    ! [SV228: pi > late_residual > $o] :
      ( ( ( SV228 @ ( sK37_SY1016 @ SV228 ) @ ( late_BoundR @ ( sK34_Subject2 @ SV228 ) @ ( sK35_SY1011 @ SV228 ) @ ( sK36_SY1014 @ SV228 ) ) )
        = $false )
      | ( ( ~ ( SV228 @ ( sK33_SY1010 @ SV228 ) @ ( late_FreeR @ ( sK31_FreeRes2 @ SV228 ) @ ( sK32_SY1008 @ SV228 ) ) )
          | ! [SY1593: pi,SY1594: late_residual] : ( SV228 @ SY1593 @ SY1594 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3041]) ).

thf(3348,plain,
    ! [SV625: late_subject,SV695: name,SV767: pi,SV465: pi,SV229: pi] :
      ( ( ( ( ( par @ SV229 @ SV465 )
           != ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
          | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                 != ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                  | ~ ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( par @ SV229 @ SV465 )
               != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                     != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3042]) ).

thf(3349,plain,
    ! [SV768: pi,SV626: late_subject,SV466: pi,SV230: pi,SV696: name] :
      ( ( ( fresh_name_pi @ SV696 @ SV230 )
        = $false )
      | ( ( ~ ( fresh_name_pi @ SV696 @ SV466 )
          | ! [SY2354: pi > $o] :
              ( ~ ( ~ ( late_transitions @ SV230 @ ( late_BoundR @ SV626 @ SV696 @ ( sK95_P4 @ SY2354 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
                  | ~ ~ ( SY2354 @ ( par @ ( sK95_P4 @ SY2354 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) @ SV466 ) ) )
              | ~ ( ~ ( late_transitions @ SV466 @ ( late_BoundR @ SV626 @ SV696 @ ( sK94_Q4 @ SY2354 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
                  | ~ ~ ( SY2354 @ ( par @ SV230 @ ( sK94_Q4 @ SY2354 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) ) )
              | ( SY2354 @ SV768 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SV626 @ SV696 @ SV768 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3043]) ).

thf(3350,plain,
    ! [SV934: late_residual,SV843: produc1141751126_pi_pi,SV231: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( SV231 @ SV843 @ SV934 )
        = $true )
      | ( ( SV231 @ ( sK19_SY992 @ SV231 ) @ ( late_FreeR @ ( sK17_FreeRes2 @ SV231 ) @ ( sK18_SY990 @ SV231 ) ) )
        = $false )
      | ( ( fresh_1376661020_pi_pi @ ( sK21_SY993 @ SV231 ) @ ( sK23_SY998 @ SV231 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3044]) ).

thf(3351,plain,
    ! [SV231: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( ~ ( SV231 @ ( sK19_SY992 @ SV231 ) @ ( late_FreeR @ ( sK17_FreeRes2 @ SV231 ) @ ( sK18_SY990 @ SV231 ) ) ) )
        = $true )
      | ( ( ! [SY1604: produc1141751126_pi_pi,SY1605: late_residual] : ( SV231 @ SY1604 @ SY1605 ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK21_SY993 @ SV231 ) @ ( sK20_Subject2 @ SV231 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3045]) ).

thf(3352,plain,
    ! [SV231: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( SV231 @ ( sK23_SY998 @ SV231 ) @ ( late_BoundR @ ( sK20_Subject2 @ SV231 ) @ ( sK21_SY993 @ SV231 ) @ ( sK22_SY996 @ SV231 ) ) )
        = $false )
      | ( ( ~ ( SV231 @ ( sK19_SY992 @ SV231 ) @ ( late_FreeR @ ( sK17_FreeRes2 @ SV231 ) @ ( sK18_SY990 @ SV231 ) ) )
          | ! [SY1604: produc1141751126_pi_pi,SY1605: late_residual] : ( SV231 @ SY1604 @ SY1605 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3046]) ).

thf(3353,plain,
    ! [SV627: late_subject,SV697: name,SV769: pi,SV467: pi,SV232: name] :
      ( ( ( ( ( res @ SV232 @ SV467 )
           != ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
          | ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                 != ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                      | ~ ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                           != ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV232 @ SV467 )
               != ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                     != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                           != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3047]) ).

thf(3354,plain,
    ! [SV935: late_freeRes,SV844: late_freeRes,SV233: $o,SV468: list_P227219501e_name] :
      ( ( ( ( perm_n336613537reeRes @ SV468 @ ( if_Late_freeRes @ SV233 @ SV844 @ SV935 ) )
          = ( perm_n336613537reeRes @ SV468 @ SV844 ) )
        = $true )
      | ( SV233 = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3048]) ).

thf(3355,plain,
    ! [SV936: late_freeRes,SV846: late_freeRes,SV469: list_P227219501e_name] :
      ( ( ( ( perm_n336613537reeRes @ SV469 @ ( if_Late_freeRes @ $true @ SV846 @ SV936 ) )
          = ( perm_n336613537reeRes @ SV469 @ SV846 ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3050]) ).

thf(3356,plain,
    ! [SV937: late_freeRes,SV848: late_freeRes,SV470: list_P227219501e_name] :
      ( ( ( ( perm_n336613537reeRes @ SV470 @ ( if_Late_freeRes @ $false @ SV848 @ SV937 ) )
          = ( perm_n336613537reeRes @ SV470 @ SV848 ) )
        = $true )
      | ( $false = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3052]) ).

thf(3357,plain,
    ! [SV628: pi,SV471: late_freeRes,SV234: name] :
      ( ( ( ~ ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SV628 ) ) )
        = $false )
      | ( ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SV628 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3054]) ).

thf(3358,plain,
    ! [SV628: pi,SV471: late_freeRes,SV234: name] :
      ( ( ( ~ ~ ( ~ ( fresh_1641682979reeRes @ SV234 @ SV471 )
                | ~ ( fresh_name_pi @ SV234 @ SV628 ) ) )
        = $false )
      | ( ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SV628 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3054]) ).

thf(3359,plain,
    ! [SV628: pi,SV471: late_freeRes,SV234: name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ SV234 @ SV471 ) )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV234 @ SV628 ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SV628 ) )
              | ~ ~ ( ~ ( fresh_1641682979reeRes @ SV234 @ SV471 )
                    | ~ ( fresh_name_pi @ SV234 @ SV628 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3055]) ).

thf(3360,plain,
    ! [SV938: pi,SV850: pi,SV235: $o,SV472: list_P227219501e_name] :
      ( ( ( ( perm_name_pi @ SV472 @ ( if_pi @ SV235 @ SV850 @ SV938 ) )
          = ( perm_name_pi @ SV472 @ SV850 ) )
        = $true )
      | ( SV235 = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3056]) ).

thf(3361,plain,
    ! [SV939: pi,SV852: pi,SV473: list_P227219501e_name] :
      ( ( ( ( perm_name_pi @ SV473 @ ( if_pi @ $true @ SV852 @ SV939 ) )
          = ( perm_name_pi @ SV473 @ SV852 ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3058]) ).

thf(3362,plain,
    ! [SV940: pi,SV854: pi,SV474: list_P227219501e_name] :
      ( ( ( ( perm_name_pi @ SV474 @ ( if_pi @ $false @ SV854 @ SV940 ) )
          = ( perm_name_pi @ SV474 @ SV854 ) )
        = $true )
      | ( $false = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3060]) ).

thf(3363,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                           != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
          | ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3062]) ).

thf(3364,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
                         != ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                           != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
          | ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3063]) ).

thf(3365,plain,
    ! [SV941: late_freeRes,SV856: late_freeRes,SV476: $o,SV237: list_P227219501e_name] :
      ( ( ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ SV476 @ SV856 @ SV941 ) )
          = ( perm_n336613537reeRes @ SV237 @ SV856 ) )
        = $true )
      | ( ( perm_name_o @ SV237 @ SV476 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3064]) ).

thf(3366,plain,
    ! [SV942: late_freeRes,SV858: late_freeRes,SV237: list_P227219501e_name] :
      ( ( ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ $true @ SV858 @ SV942 ) )
          = ( perm_n336613537reeRes @ SV237 @ SV858 ) )
        = $true )
      | ( ( perm_name_o @ SV237 @ $true )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3066]) ).

thf(3367,plain,
    ! [SV943: late_freeRes,SV860: late_freeRes,SV237: list_P227219501e_name] :
      ( ( ( ( perm_n336613537reeRes @ SV237 @ ( if_Late_freeRes @ $false @ SV860 @ SV943 ) )
          = ( perm_n336613537reeRes @ SV237 @ SV860 ) )
        = $true )
      | ( ( perm_name_o @ SV237 @ $false )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3068]) ).

thf(3368,plain,
    ! [SV630: name,SV477: name,SV238: name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SV630 ) ) )
        = $false )
      | ( ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SV630 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3070]) ).

thf(3369,plain,
    ! [SV630: name,SV477: name,SV238: name] :
      ( ( ( ~ ~ ( ~ ( fresh_name_name @ SV238 @ SV477 )
                | ~ ( fresh_name_name @ SV238 @ SV630 ) ) )
        = $false )
      | ( ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SV630 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3070]) ).

thf(3370,plain,
    ! [SV630: name,SV477: name,SV238: name] :
      ( ( ( ~ ( fresh_name_name @ SV238 @ SV477 ) )
        = $true )
      | ( ( ~ ( fresh_name_name @ SV238 @ SV630 ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SV630 ) )
              | ~ ~ ( ~ ( fresh_name_name @ SV238 @ SV477 )
                    | ~ ( fresh_name_name @ SV238 @ SV630 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3071]) ).

thf(3371,plain,
    ! [SV944: pi_Rep,SV862: pi_Rep,SV478: $o,SV239: list_P227219501e_name] :
      ( ( ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ SV478 @ SV862 @ SV944 ) )
          = ( perm_name_pi_Rep @ SV239 @ SV862 ) )
        = $true )
      | ( ( perm_name_o @ SV239 @ SV478 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3072]) ).

thf(3372,plain,
    ! [SV945: pi_Rep,SV864: pi_Rep,SV239: list_P227219501e_name] :
      ( ( ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ $true @ SV864 @ SV945 ) )
          = ( perm_name_pi_Rep @ SV239 @ SV864 ) )
        = $true )
      | ( ( perm_name_o @ SV239 @ $true )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3074]) ).

thf(3373,plain,
    ! [SV946: pi_Rep,SV866: pi_Rep,SV239: list_P227219501e_name] :
      ( ( ( ( perm_name_pi_Rep @ SV239 @ ( if_pi_Rep @ $false @ SV866 @ SV946 ) )
          = ( perm_name_pi_Rep @ SV239 @ SV866 ) )
        = $true )
      | ( ( perm_name_o @ SV239 @ $false )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3076]) ).

thf(3374,plain,
    ! [SV698: list_P227219501e_name,SV631: produc367475239e_name,SV479: list_P227219501e_name,SV240: produc367475239e_name] :
      ( ( ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
           != ( cons_P1213805021e_name @ SV631 @ SV698 ) )
          | ~ ~ ( ( SV240 != SV631 )
                | ( SV479 != SV698 ) ) )
        = $false )
      | ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
          = ( cons_P1213805021e_name @ SV631 @ SV698 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3078]) ).

thf(3375,plain,
    ! [SV698: list_P227219501e_name,SV479: list_P227219501e_name,SV631: produc367475239e_name,SV240: produc367475239e_name] :
      ( ( ( ( SV240 != SV631 )
          | ( SV479 != SV698 ) )
        = $true )
      | ( ( ~ ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
               != ( cons_P1213805021e_name @ SV631 @ SV698 ) )
              | ~ ~ ( ( SV240 != SV631 )
                    | ( SV479 != SV698 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3079]) ).

thf(3376,plain,
    ! [SV947: late_residual,SV868: produc1141751126_pi_pi,SV241: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( SV241 @ SV868 @ SV947 )
        = $true )
      | ( ( SV241 @ ( sK47_SY1028 @ SV241 ) @ ( late_FreeR @ ( sK45_FreeRes2 @ SV241 ) @ ( sK46_SY1026 @ SV241 ) ) )
        = $false )
      | ( ( fresh_1376661020_pi_pi @ ( sK49_SY1029 @ SV241 ) @ ( sK51_SY1034 @ SV241 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3080]) ).

thf(3377,plain,
    ! [SV241: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( ~ ( SV241 @ ( sK47_SY1028 @ SV241 ) @ ( late_FreeR @ ( sK45_FreeRes2 @ SV241 ) @ ( sK46_SY1026 @ SV241 ) ) ) )
        = $true )
      | ( ( ! [SY1639: produc1141751126_pi_pi,SY1640: late_residual] : ( SV241 @ SY1639 @ SY1640 ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK49_SY1029 @ SV241 ) @ ( sK48_Subject2 @ SV241 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3081]) ).

thf(3378,plain,
    ! [SV241: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( SV241 @ ( sK51_SY1034 @ SV241 ) @ ( late_BoundR @ ( sK48_Subject2 @ SV241 ) @ ( sK49_SY1029 @ SV241 ) @ ( sK50_SY1032 @ SV241 ) ) )
        = $false )
      | ( ( ~ ( SV241 @ ( sK47_SY1028 @ SV241 ) @ ( late_FreeR @ ( sK45_FreeRes2 @ SV241 ) @ ( sK46_SY1026 @ SV241 ) ) )
          | ! [SY1639: produc1141751126_pi_pi,SY1640: late_residual] : ( SV241 @ SY1639 @ SY1640 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3082]) ).

thf(3379,plain,
    ! [SV632: pi,SV480: pi,SV242: name] :
      ( ( ( ~ ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SV632 ) ) )
        = $false )
      | ( ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SV632 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3083]) ).

thf(3380,plain,
    ! [SV632: pi,SV480: pi,SV242: name] :
      ( ( ( ~ ~ ( ~ ( fresh_name_pi @ SV242 @ SV480 )
                | ~ ( fresh_name_pi @ SV242 @ SV632 ) ) )
        = $false )
      | ( ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SV632 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3083]) ).

thf(3381,plain,
    ! [SV632: pi,SV480: pi,SV242: name] :
      ( ( ( ~ ( fresh_name_pi @ SV242 @ SV480 ) )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV242 @ SV632 ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SV632 ) )
              | ~ ~ ( ~ ( fresh_name_pi @ SV242 @ SV480 )
                    | ~ ( fresh_name_pi @ SV242 @ SV632 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3084]) ).

thf(3382,plain,
    ! [SV699: name,SV633: name,SV481: name,SV243: name] :
      ( ( ( ( ( late_OutputR @ SV243 @ SV481 )
           != ( late_OutputR @ SV633 @ SV699 ) )
          | ~ ~ ( ( SV243 != SV633 )
                | ( SV481 != SV699 ) ) )
        = $false )
      | ( ( ( late_OutputR @ SV243 @ SV481 )
          = ( late_OutputR @ SV633 @ SV699 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3085]) ).

thf(3383,plain,
    ! [SV699: name,SV481: name,SV633: name,SV243: name] :
      ( ( ( ( SV243 != SV633 )
          | ( SV481 != SV699 ) )
        = $true )
      | ( ( ~ ( ( ( late_OutputR @ SV243 @ SV481 )
               != ( late_OutputR @ SV633 @ SV699 ) )
              | ~ ~ ( ( SV243 != SV633 )
                    | ( SV481 != SV699 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3086]) ).

thf(3384,plain,
    ! [SV948: late_residual,SV869: product_unit,SV244: product_unit > late_residual > $o] :
      ( ( ( SV244 @ SV869 @ SV948 )
        = $true )
      | ( ( SV244 @ ( sK54_SY1037 @ SV244 ) @ ( late_FreeR @ ( sK52_FreeRes2 @ SV244 ) @ ( sK53_SY1035 @ SV244 ) ) )
        = $false )
      | ( ( fresh_1143631827t_unit @ ( sK56_SY1038 @ SV244 ) @ ( sK58_SY1043 @ SV244 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3087]) ).

thf(3385,plain,
    ! [SV244: product_unit > late_residual > $o] :
      ( ( ( ~ ( SV244 @ ( sK54_SY1037 @ SV244 ) @ ( late_FreeR @ ( sK52_FreeRes2 @ SV244 ) @ ( sK53_SY1035 @ SV244 ) ) ) )
        = $true )
      | ( ( ! [SY1646: product_unit,SY1647: late_residual] : ( SV244 @ SY1646 @ SY1647 ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK56_SY1038 @ SV244 ) @ ( sK55_Subject2 @ SV244 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3088]) ).

thf(3386,plain,
    ! [SV244: product_unit > late_residual > $o] :
      ( ( ( SV244 @ ( sK58_SY1043 @ SV244 ) @ ( late_BoundR @ ( sK55_Subject2 @ SV244 ) @ ( sK56_SY1038 @ SV244 ) @ ( sK57_SY1041 @ SV244 ) ) )
        = $false )
      | ( ( ~ ( SV244 @ ( sK54_SY1037 @ SV244 ) @ ( late_FreeR @ ( sK52_FreeRes2 @ SV244 ) @ ( sK53_SY1035 @ SV244 ) ) )
          | ! [SY1646: product_unit,SY1647: late_residual] : ( SV244 @ SY1646 @ SY1647 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3089]) ).

thf(3387,plain,
    ! [SV949: late_residual,SV870: name,SV245: name > late_residual > $o] :
      ( ( ( SV245 @ SV870 @ SV949 )
        = $true )
      | ( ( SV245 @ ( sK12_SY983 @ SV245 ) @ ( late_FreeR @ ( sK10_FreeRes2 @ SV245 ) @ ( sK11_SY981 @ SV245 ) ) )
        = $false )
      | ( ( fresh_name_name @ ( sK14_SY984 @ SV245 ) @ ( sK16_SY989 @ SV245 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3090]) ).

thf(3388,plain,
    ! [SV245: name > late_residual > $o] :
      ( ( ( ~ ( SV245 @ ( sK12_SY983 @ SV245 ) @ ( late_FreeR @ ( sK10_FreeRes2 @ SV245 ) @ ( sK11_SY981 @ SV245 ) ) ) )
        = $true )
      | ( ( ! [SY1648: name,SY1649: late_residual] : ( SV245 @ SY1648 @ SY1649 ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK14_SY984 @ SV245 ) @ ( sK13_Subject2 @ SV245 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3091]) ).

thf(3389,plain,
    ! [SV245: name > late_residual > $o] :
      ( ( ( SV245 @ ( sK16_SY989 @ SV245 ) @ ( late_BoundR @ ( sK13_Subject2 @ SV245 ) @ ( sK14_SY984 @ SV245 ) @ ( sK15_SY987 @ SV245 ) ) )
        = $false )
      | ( ( ~ ( SV245 @ ( sK12_SY983 @ SV245 ) @ ( late_FreeR @ ( sK10_FreeRes2 @ SV245 ) @ ( sK11_SY981 @ SV245 ) ) )
          | ! [SY1648: name,SY1649: late_residual] : ( SV245 @ SY1648 @ SY1649 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3092]) ).

thf(3390,plain,
    ! [SV634: list_pi,SV482: pi,SV246: name] :
      ( ( ( ~ ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SV634 ) ) )
        = $false )
      | ( ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SV634 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3093]) ).

thf(3391,plain,
    ! [SV482: pi,SV634: list_pi,SV246: name] :
      ( ( ( ~ ~ ( ~ ( fresh_name_list_pi @ SV246 @ SV634 )
                | ~ ( fresh_name_pi @ SV246 @ SV482 ) ) )
        = $false )
      | ( ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SV634 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3093]) ).

thf(3392,plain,
    ! [SV482: pi,SV634: list_pi,SV246: name] :
      ( ( ( ~ ( fresh_name_list_pi @ SV246 @ SV634 ) )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV246 @ SV482 ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SV634 ) )
              | ~ ~ ( ~ ( fresh_name_list_pi @ SV246 @ SV634 )
                    | ~ ( fresh_name_pi @ SV246 @ SV482 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3094]) ).

thf(3393,plain,
    ! [SV950: name,SV871: name,SV247: $o,SV483: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV483 @ ( if_name @ SV247 @ SV871 @ SV950 ) )
          = ( perm_name_name @ SV483 @ SV871 ) )
        = $true )
      | ( SV247 = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3095]) ).

thf(3394,plain,
    ! [SV951: name,SV873: name,SV484: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV484 @ ( if_name @ $true @ SV873 @ SV951 ) )
          = ( perm_name_name @ SV484 @ SV873 ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3097]) ).

thf(3395,plain,
    ! [SV952: name,SV875: name,SV485: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV485 @ ( if_name @ $false @ SV875 @ SV952 ) )
          = ( perm_name_name @ SV485 @ SV875 ) )
        = $true )
      | ( $false = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3099]) ).

thf(3396,plain,
    ! [SV953: late_subject,SV877: late_subject,SV486: $o,SV248: list_P227219501e_name] :
      ( ( ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ SV486 @ SV877 @ SV953 ) )
          = ( perm_n1559866809ubject @ SV248 @ SV877 ) )
        = $true )
      | ( ( perm_name_o @ SV248 @ SV486 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3101]) ).

thf(3397,plain,
    ! [SV954: late_subject,SV879: late_subject,SV248: list_P227219501e_name] :
      ( ( ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ $true @ SV879 @ SV954 ) )
          = ( perm_n1559866809ubject @ SV248 @ SV879 ) )
        = $true )
      | ( ( perm_name_o @ SV248 @ $true )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3103]) ).

thf(3398,plain,
    ! [SV955: late_subject,SV881: late_subject,SV248: list_P227219501e_name] :
      ( ( ( ( perm_n1559866809ubject @ SV248 @ ( if_Late_subject @ $false @ SV881 @ SV955 ) )
          = ( perm_n1559866809ubject @ SV248 @ SV881 ) )
        = $true )
      | ( ( perm_name_o @ SV248 @ $false )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3105]) ).

thf(3399,plain,
    ! [SV956: pi,SV883: pi,SV487: $o,SV249: list_P227219501e_name] :
      ( ( ( ( perm_name_pi @ SV249 @ ( if_pi @ SV487 @ SV883 @ SV956 ) )
          = ( perm_name_pi @ SV249 @ SV883 ) )
        = $true )
      | ( ( perm_name_o @ SV249 @ SV487 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3107]) ).

thf(3400,plain,
    ! [SV957: pi,SV885: pi,SV249: list_P227219501e_name] :
      ( ( ( ( perm_name_pi @ SV249 @ ( if_pi @ $true @ SV885 @ SV957 ) )
          = ( perm_name_pi @ SV249 @ SV885 ) )
        = $true )
      | ( ( perm_name_o @ SV249 @ $true )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3109]) ).

thf(3401,plain,
    ! [SV958: pi,SV887: pi,SV249: list_P227219501e_name] :
      ( ( ( ( perm_name_pi @ SV249 @ ( if_pi @ $false @ SV887 @ SV958 ) )
          = ( perm_name_pi @ SV249 @ SV887 ) )
        = $true )
      | ( ( perm_name_o @ SV249 @ $false )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3111]) ).

thf(3402,plain,
    ! [SV959: pi,SV770: name,SV700: late_subject,SV635: pi,SV488: name,SV250: name] :
      ( ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SV959 ) )
        | ( SV770 = SV250 )
        | ( SV770 = SV488 )
        | ~ ( fresh_name_pi @ SV770 @ SV635 )
        | ( SV700
          = ( late_InputS @ SV250 ) )
        | ! [SY2444: late_subject > name > pi > $o] : ( SY2444 @ SV700 @ SV770 @ SV959 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3113]) ).

thf(3403,plain,
    ! [SV770: name,SV700: late_subject,SV635: pi,SV488: name,SV250: name] :
      ( ( ~ ! [SY2357: pi] :
              ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SY2357 ) )
              | ( SV770 = SV250 )
              | ( SV770 = SV488 )
              | ~ ( fresh_name_pi @ SV770 @ SV635 )
              | ( SY2357
                = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
              | ! [SY2358: late_subject > name > pi > $o] : ( SY2358 @ SV700 @ SV770 @ SY2357 ) )
        | ~ ! [SY2359: pi] :
              ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SY2359 ) )
              | ( SV770 = SV250 )
              | ( SV770 = SV488 )
              | ~ ( fresh_name_pi @ SV770 @ SV635 )
              | ! [SY2360: late_subject > name > pi > $o] :
                  ( ~ ( SY2360 @ ( late_InputS @ SV250 ) @ SV770 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
                  | ( SY2360 @ SV700 @ SV770 @ SY2359 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3114]) ).

thf(3404,plain,
    ! [SV636: name,SV489: name,SV251: name] :
      ( ( ( ~ ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SV636 ) ) )
        = $false )
      | ( ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SV636 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3115]) ).

thf(3405,plain,
    ! [SV636: name,SV489: name,SV251: name] :
      ( ( ( ~ ~ ( ~ ( fresh_name_name @ SV251 @ SV489 )
                | ~ ( fresh_name_name @ SV251 @ SV636 ) ) )
        = $false )
      | ( ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SV636 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3115]) ).

thf(3406,plain,
    ! [SV636: name,SV489: name,SV251: name] :
      ( ( ( ~ ( fresh_name_name @ SV251 @ SV489 ) )
        = $true )
      | ( ( ~ ( fresh_name_name @ SV251 @ SV636 ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SV636 ) )
              | ~ ~ ( ~ ( fresh_name_name @ SV251 @ SV489 )
                    | ~ ( fresh_name_name @ SV251 @ SV636 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3116]) ).

thf(3407,plain,
    ! [SV252: name,SV701: pi,SV821: pi > $o,SV637: late_freeRes,SV490: pi] :
      ( ( ( ~ ( late_transitions @ SV490 @ ( late_FreeR @ SV637 @ ( sK117_P4 @ SV821 @ SV701 @ SV637 @ SV490 @ SV252 ) ) )
          | ~ ~ ( ~ ( fresh_1641682979reeRes @ SV252 @ SV637 )
                | ~ ~ ( SV821 @ ( res @ SV252 @ ( sK117_P4 @ SV821 @ SV701 @ SV637 @ SV490 @ SV252 ) ) ) ) )
        = $false )
      | ( ( SV821 @ SV701 )
        = $true )
      | ( ( late_transitions @ ( res @ SV252 @ SV490 ) @ ( late_FreeR @ SV637 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3117]) ).

thf(3408,plain,
    ! [SV253: name,SV638: late_subject,SV771: pi,SV491: pi,SV702: name] :
      ( ( ( ~ ( fresh_name_pi @ SV702 @ SV491 ) )
        = $true )
      | ( ( ! [SY2361: late_subject > pi > $o] :
              ( ~ ( ~ ( late_transitions @ SV491 @ ( late_FreeR @ ( late_OutputR @ ( sK60_B2 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) @ SV253 ) @ ( sK61_SY1044 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
                  | ~ ~ ( ~ ( ( ( sK60_B2 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 )
                             != SV253 ) )
                        | ~ ~ ( ( SV638
                               != ( late_BoundOutputS @ ( sK60_B2 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
                              | ~ ~ ( SY2361 @ ( late_BoundOutputS @ ( sK60_B2 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV702 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) ) )
              | ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
                  | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                        | ~ ~ ( SY2361 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
              | ( SY2361 @ SV638 @ SV771 ) ) )
        = $true )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3118]) ).

thf(3409,plain,
    ! [SV960: late_subject,SV889: late_subject,SV254: $o,SV492: list_P227219501e_name] :
      ( ( ( ( perm_n1559866809ubject @ SV492 @ ( if_Late_subject @ SV254 @ SV889 @ SV960 ) )
          = ( perm_n1559866809ubject @ SV492 @ SV889 ) )
        = $true )
      | ( SV254 = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3119]) ).

thf(3410,plain,
    ! [SV961: late_subject,SV891: late_subject,SV493: list_P227219501e_name] :
      ( ( ( ( perm_n1559866809ubject @ SV493 @ ( if_Late_subject @ $true @ SV891 @ SV961 ) )
          = ( perm_n1559866809ubject @ SV493 @ SV891 ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3121]) ).

thf(3411,plain,
    ! [SV962: late_subject,SV893: late_subject,SV494: list_P227219501e_name] :
      ( ( ( ( perm_n1559866809ubject @ SV494 @ ( if_Late_subject @ $false @ SV893 @ SV962 ) )
          = ( perm_n1559866809ubject @ SV494 @ SV893 ) )
        = $true )
      | ( $false = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3123]) ).

thf(3412,plain,
    ! [SV703: pi,SV639: pi,SV495: pi,SV255: pi] :
      ( ( ( ( ( par @ SV255 @ SV495 )
           != ( par @ SV639 @ SV703 ) )
          | ~ ~ ( ( SV255 != SV639 )
                | ( SV495 != SV703 ) ) )
        = $false )
      | ( ( ( par @ SV255 @ SV495 )
          = ( par @ SV639 @ SV703 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3125]) ).

thf(3413,plain,
    ! [SV703: pi,SV495: pi,SV639: pi,SV255: pi] :
      ( ( ( ( SV255 != SV639 )
          | ( SV495 != SV703 ) )
        = $true )
      | ( ( ~ ( ( ( par @ SV255 @ SV495 )
               != ( par @ SV639 @ SV703 ) )
              | ~ ~ ( ( SV255 != SV639 )
                    | ( SV495 != SV703 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3126]) ).

thf(3414,plain,
    ! [SV496: set_Pr1834926343_pi_pi,SV256: pi,SV895: pi,SV825: name,SV704: late_subject,SV640: pi] :
      ( ( ( ~ ( late_transitions @ SV640 @ ( late_BoundR @ SV704 @ SV825 @ SV895 ) ) )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV825 @ SV256 )
          | ~ ( ~ ( late_transitions @ SV256 @ ( late_BoundR @ SV704 @ SV825 @ ( sK92_P4 @ SV895 @ SV825 @ SV704 @ SV640 @ SV496 @ SV256 ) ) )
              | ~ ( strong2129052853vative @ ( sK92_P4 @ SV895 @ SV825 @ SV704 @ SV640 @ SV496 @ SV256 ) @ SV895 @ SV704 @ SV825 @ SV496 ) ) )
        = $true )
      | ( ( strong743114133lation @ SV256 @ SV496 @ SV640 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3127]) ).

thf(3415,plain,
    ! [SV705: pi,SV641: late_freeRes,SV497: pi,SV257: late_freeRes] :
      ( ( ( ( ( late_FreeR @ SV257 @ SV497 )
           != ( late_FreeR @ SV641 @ SV705 ) )
          | ~ ~ ( ( SV257 != SV641 )
                | ( SV497 != SV705 ) ) )
        = $false )
      | ( ( ( late_FreeR @ SV257 @ SV497 )
          = ( late_FreeR @ SV641 @ SV705 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3128]) ).

thf(3416,plain,
    ! [SV705: pi,SV497: pi,SV641: late_freeRes,SV257: late_freeRes] :
      ( ( ( ( SV257 != SV641 )
          | ( SV497 != SV705 ) )
        = $true )
      | ( ( ~ ( ( ( late_FreeR @ SV257 @ SV497 )
               != ( late_FreeR @ SV641 @ SV705 ) )
              | ~ ~ ( ( SV257 != SV641 )
                    | ( SV497 != SV705 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3129]) ).

thf(3417,plain,
    ! [SV642: late_freeRes,SV706: pi,SV498: pi,SV258: name] :
      ( ( ( ( res @ SV258 @ SV498 )
          = ( res @ ( sK116_SY1113 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK113_P5 @ SV706 @ SV642 @ SV498 @ SV258 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV258 @ SV498 ) @ ( late_FreeR @ SV642 @ SV706 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3130]) ).

thf(3418,plain,
    ! [SV258: name,SV498: pi,SV706: pi,SV642: late_freeRes] :
      ( ( ( ~ ( ( ( late_FreeR @ SV642 @ SV706 )
               != ( late_FreeR @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( res @ ( sK116_SY1113 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK115_SY1111 @ SV706 @ SV642 @ SV498 @ SV258 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK113_P5 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( late_FreeR @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK115_SY1111 @ SV706 @ SV642 @ SV498 @ SV258 ) ) )
                    | ~ ( fresh_1641682979reeRes @ ( sK116_SY1113 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV258 @ SV498 ) @ ( late_FreeR @ SV642 @ SV706 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3131]) ).

thf(3419,plain,
    ! [SV963: late_residual,SV896: product_unit,SV259: product_unit > late_residual > $o] :
      ( ( ( SV259 @ SV896 @ SV963 )
        = $true )
      | ( ( SV259 @ ( sK26_SY1001 @ SV259 ) @ ( late_FreeR @ ( sK24_FreeRes2 @ SV259 ) @ ( sK25_SY999 @ SV259 ) ) )
        = $false )
      | ( ( fresh_1143631827t_unit @ ( sK28_SY1002 @ SV259 ) @ ( sK30_SY1007 @ SV259 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3132]) ).

thf(3420,plain,
    ! [SV259: product_unit > late_residual > $o] :
      ( ( ( ~ ( SV259 @ ( sK26_SY1001 @ SV259 ) @ ( late_FreeR @ ( sK24_FreeRes2 @ SV259 ) @ ( sK25_SY999 @ SV259 ) ) ) )
        = $true )
      | ( ( ! [SY1707: product_unit,SY1708: late_residual] : ( SV259 @ SY1707 @ SY1708 ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK28_SY1002 @ SV259 ) @ ( sK27_Subject2 @ SV259 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3133]) ).

thf(3421,plain,
    ! [SV259: product_unit > late_residual > $o] :
      ( ( ( SV259 @ ( sK30_SY1007 @ SV259 ) @ ( late_BoundR @ ( sK27_Subject2 @ SV259 ) @ ( sK28_SY1002 @ SV259 ) @ ( sK29_SY1005 @ SV259 ) ) )
        = $false )
      | ( ( ~ ( SV259 @ ( sK26_SY1001 @ SV259 ) @ ( late_FreeR @ ( sK24_FreeRes2 @ SV259 ) @ ( sK25_SY999 @ SV259 ) ) )
          | ! [SY1707: product_unit,SY1708: late_residual] : ( SV259 @ SY1707 @ SY1708 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3134]) ).

thf(3422,plain,
    ! [SV964: late_residual,SV897: pi,SV260: pi > late_residual > $o] :
      ( ( ( SV260 @ SV897 @ SV964 )
        = $true )
      | ( ( SV260 @ ( sK5_SY974 @ SV260 ) @ ( late_FreeR @ ( sK3_FreeRes2 @ SV260 ) @ ( sK4_SY972 @ SV260 ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK7_SY975 @ SV260 ) @ ( sK9_SY980 @ SV260 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3135]) ).

thf(3423,plain,
    ! [SV260: pi > late_residual > $o] :
      ( ( ( ~ ( SV260 @ ( sK5_SY974 @ SV260 ) @ ( late_FreeR @ ( sK3_FreeRes2 @ SV260 ) @ ( sK4_SY972 @ SV260 ) ) ) )
        = $true )
      | ( ( ! [SY1709: pi,SY1710: late_residual] : ( SV260 @ SY1709 @ SY1710 ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK7_SY975 @ SV260 ) @ ( sK6_Subject2 @ SV260 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3136]) ).

thf(3424,plain,
    ! [SV260: pi > late_residual > $o] :
      ( ( ( SV260 @ ( sK9_SY980 @ SV260 ) @ ( late_BoundR @ ( sK6_Subject2 @ SV260 ) @ ( sK7_SY975 @ SV260 ) @ ( sK8_SY978 @ SV260 ) ) )
        = $false )
      | ( ( ~ ( SV260 @ ( sK5_SY974 @ SV260 ) @ ( late_FreeR @ ( sK3_FreeRes2 @ SV260 ) @ ( sK4_SY972 @ SV260 ) ) )
          | ! [SY1709: pi,SY1710: late_residual] : ( SV260 @ SY1709 @ SY1710 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3137]) ).

thf(3425,plain,
    ! [SV899: name,SV261: name] :
      ( ( ( SV261 = SV899 )
        = $true )
      | ( ( ! [SY2435: name] :
              ( ( SY2435 != SV899 )
              | ( ( swap_name2 @ ( produc1570949143e_name @ SV261 @ SY2435 ) @ SV899 )
                = SV261 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3139]) ).

thf(3426,plain,
    ! [SV900: name,SV261: name] :
      ( ( ( SV261 = SV900 )
        = $true )
      | ( ( ! [SY2436: name] :
              ( ( SY2436 = SV900 )
              | ( ( swap_name2 @ ( produc1570949143e_name @ SV261 @ SY2436 ) @ SV900 )
                = SV900 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3140]) ).

thf(3427,plain,
    ! [SV965: name,SV901: name,SV499: $o,SV262: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV262 @ ( if_name @ SV499 @ SV901 @ SV965 ) )
          = ( perm_name_name @ SV262 @ SV901 ) )
        = $true )
      | ( ( perm_name_o @ SV262 @ SV499 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3141]) ).

thf(3428,plain,
    ! [SV966: name,SV903: name,SV262: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV262 @ ( if_name @ $true @ SV903 @ SV966 ) )
          = ( perm_name_name @ SV262 @ SV903 ) )
        = $true )
      | ( ( perm_name_o @ SV262 @ $true )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3143]) ).

thf(3429,plain,
    ! [SV967: name,SV905: name,SV262: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV262 @ ( if_name @ $false @ SV905 @ SV967 ) )
          = ( perm_name_name @ SV262 @ SV905 ) )
        = $true )
      | ( ( perm_name_o @ SV262 @ $false )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3145]) ).

thf(3430,plain,
    ! [SV968: pi_Rep,SV907: pi_Rep,SV263: $o,SV500: list_P227219501e_name] :
      ( ( ( ( perm_name_pi_Rep @ SV500 @ ( if_pi_Rep @ SV263 @ SV907 @ SV968 ) )
          = ( perm_name_pi_Rep @ SV500 @ SV907 ) )
        = $true )
      | ( SV263 = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3147]) ).

thf(3431,plain,
    ! [SV969: pi_Rep,SV909: pi_Rep,SV501: list_P227219501e_name] :
      ( ( ( ( perm_name_pi_Rep @ SV501 @ ( if_pi_Rep @ $true @ SV909 @ SV969 ) )
          = ( perm_name_pi_Rep @ SV501 @ SV909 ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3149]) ).

thf(3432,plain,
    ! [SV970: pi_Rep,SV911: pi_Rep,SV502: list_P227219501e_name] :
      ( ( ( ( perm_name_pi_Rep @ SV502 @ ( if_pi_Rep @ $false @ SV911 @ SV970 ) )
          = ( perm_name_pi_Rep @ SV502 @ SV911 ) )
        = $true )
      | ( $false = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3151]) ).

thf(3433,plain,
    ! [SV707: name,SV643: name,SV503: name,SV264: name] :
      ( ( ( ( ( late_OutputR @ SV264 @ SV503 )
           != ( late_OutputR @ SV643 @ SV707 ) )
          | ~ ~ ( ( SV264 != SV643 )
                | ( SV503 != SV707 ) ) )
        = $false )
      | ( ( ( late_OutputR @ SV264 @ SV503 )
          = ( late_OutputR @ SV643 @ SV707 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3153]) ).

thf(3434,plain,
    ! [SV707: name,SV503: name,SV643: name,SV264: name] :
      ( ( ( ( SV264 != SV643 )
          | ( SV503 != SV707 ) )
        = $true )
      | ( ( ~ ( ( ( late_OutputR @ SV264 @ SV503 )
               != ( late_OutputR @ SV643 @ SV707 ) )
              | ~ ~ ( ( SV264 != SV643 )
                    | ( SV503 != SV707 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3154]) ).

thf(3435,plain,
    ! [SV971: late_residual,SV913: name,SV265: name > late_residual > $o] :
      ( ( ( SV265 @ SV913 @ SV971 )
        = $true )
      | ( ( SV265 @ ( sK40_SY1019 @ SV265 ) @ ( late_FreeR @ ( sK38_FreeRes2 @ SV265 ) @ ( sK39_SY1017 @ SV265 ) ) )
        = $false )
      | ( ( fresh_name_name @ ( sK42_SY1020 @ SV265 ) @ ( sK44_SY1025 @ SV265 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3155]) ).

thf(3436,plain,
    ! [SV265: name > late_residual > $o] :
      ( ( ( ~ ( SV265 @ ( sK40_SY1019 @ SV265 ) @ ( late_FreeR @ ( sK38_FreeRes2 @ SV265 ) @ ( sK39_SY1017 @ SV265 ) ) ) )
        = $true )
      | ( ( ! [SY1730: name,SY1731: late_residual] : ( SV265 @ SY1730 @ SY1731 ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK42_SY1020 @ SV265 ) @ ( sK41_Subject2 @ SV265 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3156]) ).

thf(3437,plain,
    ! [SV265: name > late_residual > $o] :
      ( ( ( SV265 @ ( sK44_SY1025 @ SV265 ) @ ( late_BoundR @ ( sK41_Subject2 @ SV265 ) @ ( sK42_SY1020 @ SV265 ) @ ( sK43_SY1023 @ SV265 ) ) )
        = $false )
      | ( ( ~ ( SV265 @ ( sK40_SY1019 @ SV265 ) @ ( late_FreeR @ ( sK38_FreeRes2 @ SV265 ) @ ( sK39_SY1017 @ SV265 ) ) )
          | ! [SY1730: name,SY1731: late_residual] : ( SV265 @ SY1730 @ SY1731 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3157]) ).

thf(3438,plain,
    ! [SV523: pi,SV309: name,SV50: list_P227219501e_name] :
      ( ( ( fresh_name_pi @ ( perm_name_name @ SV50 @ SV309 ) @ ( perm_name_pi @ SV50 @ SV523 ) )
        = $true )
      | ( ( fresh_name_pi @ ( perm_name_name @ SV50 @ SV309 ) @ ( perm_name_pi @ SV50 @ SV523 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3160]) ).

thf(3439,plain,
    ! [SV50: list_P227219501e_name,SV523: pi,SV309: name] :
      ( ( ( fresh_name_pi @ SV309 @ SV523 )
        = $true )
      | ( ( fresh_name_pi @ ( perm_name_name @ SV50 @ SV309 ) @ ( perm_name_pi @ SV50 @ SV523 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3161]) ).

thf(3440,plain,
    ! [SV523: pi,SV309: name,SV50: list_P227219501e_name] :
      ( ( ( fresh_name_pi @ ( perm_name_name @ SV50 @ SV309 ) @ ( perm_name_pi @ SV50 @ SV523 ) )
        = $true )
      | ( ( fresh_name_pi @ SV309 @ SV523 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3162]) ).

thf(3441,plain,
    ! [SV523: pi,SV309: name] :
      ( ( ( fresh_name_pi @ SV309 @ SV523 )
        = $true )
      | ( ( fresh_name_pi @ SV309 @ SV523 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3163]) ).

thf(3442,plain,
    ! [SV528: pi,SV331: pi,SV73: list_P227219501e_name] :
      ( ( ( ( perm_name_pi @ SV73 @ SV331 )
          = ( perm_name_pi @ SV73 @ SV528 ) )
        = $true )
      | ( ( ( perm_name_pi @ SV73 @ SV331 )
          = ( perm_name_pi @ SV73 @ SV528 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3172]) ).

thf(3443,plain,
    ! [SV73: list_P227219501e_name,SV528: pi,SV331: pi] :
      ( ( ( SV331 = SV528 )
        = $true )
      | ( ( ( perm_name_pi @ SV73 @ SV331 )
          = ( perm_name_pi @ SV73 @ SV528 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3173]) ).

thf(3444,plain,
    ! [SV528: pi,SV331: pi,SV73: list_P227219501e_name] :
      ( ( ( ( perm_name_pi @ SV73 @ SV331 )
          = ( perm_name_pi @ SV73 @ SV528 ) )
        = $true )
      | ( ( SV331 = SV528 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3174]) ).

thf(3445,plain,
    ! [SV528: pi,SV331: pi] :
      ( ( ( SV331 = SV528 )
        = $true )
      | ( ( SV331 = SV528 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3175]) ).

thf(3446,plain,
    ! [SV531: pi,SV334: pi,SV76: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV76 @ ( SV334 = SV531 ) )
        = $true )
      | ( ( perm_name_o @ SV76 @ ( SV334 = SV531 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3176]) ).

thf(3447,plain,
    ! [SV531: pi,SV334: pi,SV76: list_P227219501e_name] :
      ( ( ( ( perm_name_pi @ SV76 @ SV334 )
          = ( perm_name_pi @ SV76 @ SV531 ) )
        = $true )
      | ( ( perm_name_o @ SV76 @ ( SV334 = SV531 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3177]) ).

thf(3448,plain,
    ! [SV531: pi,SV334: pi,SV76: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV76 @ ( SV334 = SV531 ) )
        = $true )
      | ( ( ( perm_name_pi @ SV76 @ SV334 )
          = ( perm_name_pi @ SV76 @ SV531 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3178]) ).

thf(3449,plain,
    ! [SV531: pi,SV334: pi,SV76: list_P227219501e_name] :
      ( ( ( ( perm_name_pi @ SV76 @ SV334 )
          = ( perm_name_pi @ SV76 @ SV531 ) )
        = $true )
      | ( ( ( perm_name_pi @ SV76 @ SV334 )
          = ( perm_name_pi @ SV76 @ SV531 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3179]) ).

thf(3450,plain,
    ! [SV658: pi,SV351: late_subject,SV96: pi,SV539: name,SV791: name] :
      ( ( ( SV791 = SV539 )
        = $true )
      | ( ( late_transitions @ ( res @ SV791 @ SV96 ) @ ( late_BoundR @ SV351 @ SV539 @ ( res @ SV791 @ SV658 ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ SV791 @ SV351 )
        = $false )
      | ( ( late_transitions @ SV96 @ ( late_BoundR @ SV351 @ SV539 @ SV658 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3188]) ).

thf(3451,plain,
    ! [SV659: pi,SV353: late_subject,SV98: pi,SV541: name,SV793: name] :
      ( ( ( SV793 = SV541 )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV541 @ SV98 )
          | ~ ( fresh_717452603ubject @ SV541 @ SV353 )
          | ( late_transitions @ ( res @ SV793 @ SV98 ) @ ( late_BoundR @ SV353 @ SV541 @ ( res @ SV793 @ SV659 ) ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ SV793 @ SV353 )
        = $false )
      | ( ( late_transitions @ SV98 @ ( late_BoundR @ SV353 @ SV541 @ SV659 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3190]) ).

thf(3452,plain,
    ! [SV660: pi,SV99: pi,SV354: late_subject,SV924: pi,SV542: name] :
      ( ( ( ~ ( fresh_name_pi @ SV542 @ SV924 ) )
        = $true )
      | ( ( ~ ( fresh_717452603ubject @ SV542 @ SV354 )
          | ( late_transitions @ ( par @ SV99 @ SV924 ) @ ( late_BoundR @ SV354 @ SV542 @ ( par @ SV660 @ SV924 ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV542 @ SV99 )
        = $false )
      | ( ( late_transitions @ SV99 @ ( late_BoundR @ SV354 @ SV542 @ SV660 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3191]) ).

thf(3453,plain,
    ! [SV661: pi,SV794: pi,SV355: late_subject,SV100: pi,SV543: name] :
      ( ( ( ~ ( fresh_name_pi @ SV543 @ SV100 ) )
        = $true )
      | ( ( ~ ( fresh_717452603ubject @ SV543 @ SV355 )
          | ( late_transitions @ ( par @ SV794 @ SV100 ) @ ( late_BoundR @ SV355 @ SV543 @ ( par @ SV794 @ SV661 ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV543 @ SV794 )
        = $false )
      | ( ( late_transitions @ SV100 @ ( late_BoundR @ SV355 @ SV543 @ SV661 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3192]) ).

thf(3454,plain,
    ! [SV361: late_subject,SV108: pi,SV663: pi,SV547: name,SV795: name] :
      ( ( ( SV795 = SV547 )
        = $true )
      | ( ( fresh_name_pi @ SV795 @ SV663 )
        = $true )
      | ( ( fresh_name_pi @ SV795 @ SV108 )
        = $false )
      | ( ( late_transitions @ SV108 @ ( late_BoundR @ SV361 @ SV547 @ SV663 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3193]) ).

thf(3455,plain,
    ! [SV738: set_Pr1834926343_pi_pi,SV667: name,SV552: late_subject,SV366: pi,SV113: pi,SV972: list_P227219501e_name] :
      ( ( ( strong2129052853vative @ ( perm_name_pi @ SV972 @ SV113 ) @ ( perm_name_pi @ SV972 @ SV366 ) @ SV552 @ ( perm_name_name @ SV972 @ SV667 ) @ SV738 )
        = $true )
      | ( ( eqvt_pi @ SV738 )
        = $false )
      | ( ( strong2129052853vative @ SV113 @ SV366 @ SV552 @ SV667 @ SV738 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3196]) ).

thf(3456,plain,
    ! [SV135: $o] :
      ( ( ( ~ ( SV135
              | $false )
          | ~ ( ~ SV135
              | ~ $false ) )
        = $true )
      | ( SV135 = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[3202]) ).

thf(3457,plain,
    ! [SV135: $o] :
      ( ( ( SV135 = $false )
        = $true )
      | ( SV135 = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[3202]) ).

thf(3458,plain,
    ! [SV135: $o] :
      ( ( ( ~ ( SV135
              | $false )
          | ~ ( ~ SV135
              | ~ $false ) )
        = $true )
      | ( SV135 = $false )
      | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[3203]) ).

thf(3459,plain,
    ! [SV135: $o] :
      ( ( ( SV135 = $false )
        = $true )
      | ( SV135 = $false )
      | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[3203]) ).

thf(3460,plain,
    ! [SV135: $o] :
      ( ( ( ~ ( SV135
              | $false )
          | ~ ( ~ SV135
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[3204]) ).

thf(3461,plain,
    ! [SV135: $o] :
      ( ( ( SV135 = $false )
        = $true )
      | ( $true = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[3204]) ).

thf(3462,plain,
    ! [SV135: $o] :
      ( ( ( ~ ( SV135
              | $false )
          | ~ ( ~ SV135
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[3205]) ).

thf(3463,plain,
    ! [SV135: $o] :
      ( ( ( SV135 = $false )
        = $true )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[3205]) ).

thf(3464,plain,
    ! [SV135: $o] :
      ( ( SV135 = $true )
      | ( SV135 = $false )
      | ( ( SV135 = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3206]) ).

thf(3465,plain,
    ! [SV135: $o] :
      ( ( $false = $true )
      | ( SV135 = $false )
      | ( ( SV135 = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3207]) ).

thf(3466,plain,
    ! [SV135: $o] :
      ( ( SV135 = $true )
      | ( $false = $false )
      | ( ( SV135 = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3208]) ).

thf(3467,plain,
    ! [SV135: $o] :
      ( ( $false = $true )
      | ( $false = $false )
      | ( ( SV135 = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3209]) ).

thf(3468,plain,
    ( ( ( ~ ( $true
            | $false )
        | ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[3210]) ).

thf(3469,plain,
    ( ( ( $true = $false )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[3210]) ).

thf(3470,plain,
    ( ( ( ~ ( $true
            | $false )
        | ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[3211]) ).

thf(3471,plain,
    ( ( ( $true = $false )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[3211]) ).

thf(3472,plain,
    ( ( ( ~ ( $true
            | $false )
        | ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[3212]) ).

thf(3473,plain,
    ( ( ( $true = $false )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[3212]) ).

thf(3474,plain,
    ( ( ( ~ ( $true
            | $false )
        | ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[3213]) ).

thf(3475,plain,
    ( ( ( $true = $false )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[3213]) ).

thf(3476,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3214]) ).

thf(3477,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3215]) ).

thf(3478,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3216]) ).

thf(3479,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3217]) ).

thf(3480,plain,
    ( ( ( ~ ( $false
            | $false )
        | ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[3218]) ).

thf(3481,plain,
    ( ( ( $false = $false )
      = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[3218]) ).

thf(3482,plain,
    ( ( ( ~ ( $false
            | $false )
        | ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[3219]) ).

thf(3483,plain,
    ( ( ( $false = $false )
      = $true )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[3219]) ).

thf(3484,plain,
    ( ( ( ~ ( $false
            | $false )
        | ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[3220]) ).

thf(3485,plain,
    ( ( ( $false = $false )
      = $true )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[3220]) ).

thf(3486,plain,
    ( ( ( ~ ( $false
            | $false )
        | ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[3221]) ).

thf(3487,plain,
    ( ( ( $false = $false )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[3221]) ).

thf(3488,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3222]) ).

thf(3489,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3223]) ).

thf(3490,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3224]) ).

thf(3491,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3225]) ).

thf(3492,plain,
    ! [SV566: late_subject,SV393: name,SV147: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV147 @ ( fresh_717452603ubject @ SV393 @ SV566 ) )
        = $true )
      | ( ( perm_name_o @ SV147 @ ( fresh_717452603ubject @ SV393 @ SV566 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3226]) ).

thf(3493,plain,
    ! [SV566: late_subject,SV393: name,SV147: list_P227219501e_name] :
      ( ( ( fresh_717452603ubject @ ( perm_name_name @ SV147 @ SV393 ) @ ( perm_n1559866809ubject @ SV147 @ SV566 ) )
        = $true )
      | ( ( perm_name_o @ SV147 @ ( fresh_717452603ubject @ SV393 @ SV566 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3227]) ).

thf(3494,plain,
    ! [SV566: late_subject,SV393: name,SV147: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV147 @ ( fresh_717452603ubject @ SV393 @ SV566 ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( perm_name_name @ SV147 @ SV393 ) @ ( perm_n1559866809ubject @ SV147 @ SV566 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3228]) ).

thf(3495,plain,
    ! [SV566: late_subject,SV393: name,SV147: list_P227219501e_name] :
      ( ( ( fresh_717452603ubject @ ( perm_name_name @ SV147 @ SV393 ) @ ( perm_n1559866809ubject @ SV147 @ SV566 ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( perm_name_name @ SV147 @ SV393 ) @ ( perm_n1559866809ubject @ SV147 @ SV566 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3229]) ).

thf(3496,plain,
    ! [SV567: late_freeRes,SV394: name,SV148: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV148 @ ( fresh_1641682979reeRes @ SV394 @ SV567 ) )
        = $true )
      | ( ( perm_name_o @ SV148 @ ( fresh_1641682979reeRes @ SV394 @ SV567 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3230]) ).

thf(3497,plain,
    ! [SV567: late_freeRes,SV394: name,SV148: list_P227219501e_name] :
      ( ( ( fresh_1641682979reeRes @ ( perm_name_name @ SV148 @ SV394 ) @ ( perm_n336613537reeRes @ SV148 @ SV567 ) )
        = $true )
      | ( ( perm_name_o @ SV148 @ ( fresh_1641682979reeRes @ SV394 @ SV567 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3231]) ).

thf(3498,plain,
    ! [SV567: late_freeRes,SV394: name,SV148: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV148 @ ( fresh_1641682979reeRes @ SV394 @ SV567 ) )
        = $true )
      | ( ( fresh_1641682979reeRes @ ( perm_name_name @ SV148 @ SV394 ) @ ( perm_n336613537reeRes @ SV148 @ SV567 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3232]) ).

thf(3499,plain,
    ! [SV567: late_freeRes,SV394: name,SV148: list_P227219501e_name] :
      ( ( ( fresh_1641682979reeRes @ ( perm_name_name @ SV148 @ SV394 ) @ ( perm_n336613537reeRes @ SV148 @ SV567 ) )
        = $true )
      | ( ( fresh_1641682979reeRes @ ( perm_name_name @ SV148 @ SV394 ) @ ( perm_n336613537reeRes @ SV148 @ SV567 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3233]) ).

thf(3500,plain,
    ! [SV568: pi_Rep,SV395: name,SV149: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV149 @ ( fresh_name_pi_Rep @ SV395 @ SV568 ) )
        = $true )
      | ( ( perm_name_o @ SV149 @ ( fresh_name_pi_Rep @ SV395 @ SV568 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3234]) ).

thf(3501,plain,
    ! [SV568: pi_Rep,SV395: name,SV149: list_P227219501e_name] :
      ( ( ( fresh_name_pi_Rep @ ( perm_name_name @ SV149 @ SV395 ) @ ( perm_name_pi_Rep @ SV149 @ SV568 ) )
        = $true )
      | ( ( perm_name_o @ SV149 @ ( fresh_name_pi_Rep @ SV395 @ SV568 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3235]) ).

thf(3502,plain,
    ! [SV568: pi_Rep,SV395: name,SV149: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV149 @ ( fresh_name_pi_Rep @ SV395 @ SV568 ) )
        = $true )
      | ( ( fresh_name_pi_Rep @ ( perm_name_name @ SV149 @ SV395 ) @ ( perm_name_pi_Rep @ SV149 @ SV568 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3236]) ).

thf(3503,plain,
    ! [SV568: pi_Rep,SV395: name,SV149: list_P227219501e_name] :
      ( ( ( fresh_name_pi_Rep @ ( perm_name_name @ SV149 @ SV395 ) @ ( perm_name_pi_Rep @ SV149 @ SV568 ) )
        = $true )
      | ( ( fresh_name_pi_Rep @ ( perm_name_name @ SV149 @ SV395 ) @ ( perm_name_pi_Rep @ SV149 @ SV568 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3237]) ).

thf(3504,plain,
    ! [SV569: product_unit,SV396: name,SV150: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV150 @ ( fresh_1143631827t_unit @ SV396 @ SV569 ) )
        = $true )
      | ( ( perm_name_o @ SV150 @ ( fresh_1143631827t_unit @ SV396 @ SV569 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3238]) ).

thf(3505,plain,
    ! [SV569: product_unit,SV396: name,SV150: list_P227219501e_name] :
      ( ( ( fresh_1143631827t_unit @ ( perm_name_name @ SV150 @ SV396 ) @ ( perm_n1960409557t_unit @ SV150 @ SV569 ) )
        = $true )
      | ( ( perm_name_o @ SV150 @ ( fresh_1143631827t_unit @ SV396 @ SV569 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3239]) ).

thf(3506,plain,
    ! [SV569: product_unit,SV396: name,SV150: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV150 @ ( fresh_1143631827t_unit @ SV396 @ SV569 ) )
        = $true )
      | ( ( fresh_1143631827t_unit @ ( perm_name_name @ SV150 @ SV396 ) @ ( perm_n1960409557t_unit @ SV150 @ SV569 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3240]) ).

thf(3507,plain,
    ! [SV569: product_unit,SV396: name,SV150: list_P227219501e_name] :
      ( ( ( fresh_1143631827t_unit @ ( perm_name_name @ SV150 @ SV396 ) @ ( perm_n1960409557t_unit @ SV150 @ SV569 ) )
        = $true )
      | ( ( fresh_1143631827t_unit @ ( perm_name_name @ SV150 @ SV396 ) @ ( perm_n1960409557t_unit @ SV150 @ SV569 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3241]) ).

thf(3508,plain,
    ! [SV570: produc1141751126_pi_pi,SV397: name,SV151: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV151 @ ( fresh_1376661020_pi_pi @ SV397 @ SV570 ) )
        = $true )
      | ( ( perm_name_o @ SV151 @ ( fresh_1376661020_pi_pi @ SV397 @ SV570 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3242]) ).

thf(3509,plain,
    ! [SV570: produc1141751126_pi_pi,SV397: name,SV151: list_P227219501e_name] :
      ( ( ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV151 @ SV397 ) @ ( perm_n1255502110_pi_pi @ SV151 @ SV570 ) )
        = $true )
      | ( ( perm_name_o @ SV151 @ ( fresh_1376661020_pi_pi @ SV397 @ SV570 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3243]) ).

thf(3510,plain,
    ! [SV570: produc1141751126_pi_pi,SV397: name,SV151: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV151 @ ( fresh_1376661020_pi_pi @ SV397 @ SV570 ) )
        = $true )
      | ( ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV151 @ SV397 ) @ ( perm_n1255502110_pi_pi @ SV151 @ SV570 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3244]) ).

thf(3511,plain,
    ! [SV570: produc1141751126_pi_pi,SV397: name,SV151: list_P227219501e_name] :
      ( ( ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV151 @ SV397 ) @ ( perm_n1255502110_pi_pi @ SV151 @ SV570 ) )
        = $true )
      | ( ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV151 @ SV397 ) @ ( perm_n1255502110_pi_pi @ SV151 @ SV570 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3245]) ).

thf(3512,plain,
    ! [SV571: name,SV398: name,SV152: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV152 @ ( fresh_name_name @ SV398 @ SV571 ) )
        = $true )
      | ( ( perm_name_o @ SV152 @ ( fresh_name_name @ SV398 @ SV571 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3246]) ).

thf(3513,plain,
    ! [SV571: name,SV398: name,SV152: list_P227219501e_name] :
      ( ( ( fresh_name_name @ ( perm_name_name @ SV152 @ SV398 ) @ ( perm_name_name @ SV152 @ SV571 ) )
        = $true )
      | ( ( perm_name_o @ SV152 @ ( fresh_name_name @ SV398 @ SV571 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3247]) ).

thf(3514,plain,
    ! [SV571: name,SV398: name,SV152: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV152 @ ( fresh_name_name @ SV398 @ SV571 ) )
        = $true )
      | ( ( fresh_name_name @ ( perm_name_name @ SV152 @ SV398 ) @ ( perm_name_name @ SV152 @ SV571 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3248]) ).

thf(3515,plain,
    ! [SV571: name,SV398: name,SV152: list_P227219501e_name] :
      ( ( ( fresh_name_name @ ( perm_name_name @ SV152 @ SV398 ) @ ( perm_name_name @ SV152 @ SV571 ) )
        = $true )
      | ( ( fresh_name_name @ ( perm_name_name @ SV152 @ SV398 ) @ ( perm_name_name @ SV152 @ SV571 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3249]) ).

thf(3516,plain,
    ! [SV572: pi,SV399: name,SV153: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV153 @ ( fresh_name_pi @ SV399 @ SV572 ) )
        = $true )
      | ( ( perm_name_o @ SV153 @ ( fresh_name_pi @ SV399 @ SV572 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3250]) ).

thf(3517,plain,
    ! [SV572: pi,SV399: name,SV153: list_P227219501e_name] :
      ( ( ( fresh_name_pi @ ( perm_name_name @ SV153 @ SV399 ) @ ( perm_name_pi @ SV153 @ SV572 ) )
        = $true )
      | ( ( perm_name_o @ SV153 @ ( fresh_name_pi @ SV399 @ SV572 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3251]) ).

thf(3518,plain,
    ! [SV572: pi,SV399: name,SV153: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV153 @ ( fresh_name_pi @ SV399 @ SV572 ) )
        = $true )
      | ( ( fresh_name_pi @ ( perm_name_name @ SV153 @ SV399 ) @ ( perm_name_pi @ SV153 @ SV572 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3252]) ).

thf(3519,plain,
    ! [SV572: pi,SV399: name,SV153: list_P227219501e_name] :
      ( ( ( fresh_name_pi @ ( perm_name_name @ SV153 @ SV399 ) @ ( perm_name_pi @ SV153 @ SV572 ) )
        = $true )
      | ( ( fresh_name_pi @ ( perm_name_name @ SV153 @ SV399 ) @ ( perm_name_pi @ SV153 @ SV572 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3253]) ).

thf(3520,plain,
    ! [SV573: name > noption_pi,SV400: name,SV154: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV154 @ ( fresh_543891186ion_pi @ SV400 @ SV573 ) )
        = $true )
      | ( ( perm_name_o @ SV154 @ ( fresh_543891186ion_pi @ SV400 @ SV573 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3254]) ).

thf(3521,plain,
    ! [SV573: name > noption_pi,SV400: name,SV154: list_P227219501e_name] :
      ( ( ( fresh_543891186ion_pi @ ( perm_name_name @ SV154 @ SV400 ) @ ( perm_n1667196784ion_pi @ SV154 @ SV573 ) )
        = $true )
      | ( ( perm_name_o @ SV154 @ ( fresh_543891186ion_pi @ SV400 @ SV573 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3255]) ).

thf(3522,plain,
    ! [SV573: name > noption_pi,SV400: name,SV154: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV154 @ ( fresh_543891186ion_pi @ SV400 @ SV573 ) )
        = $true )
      | ( ( fresh_543891186ion_pi @ ( perm_name_name @ SV154 @ SV400 ) @ ( perm_n1667196784ion_pi @ SV154 @ SV573 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3256]) ).

thf(3523,plain,
    ! [SV573: name > noption_pi,SV400: name,SV154: list_P227219501e_name] :
      ( ( ( fresh_543891186ion_pi @ ( perm_name_name @ SV154 @ SV400 ) @ ( perm_n1667196784ion_pi @ SV154 @ SV573 ) )
        = $true )
      | ( ( fresh_543891186ion_pi @ ( perm_name_name @ SV154 @ SV400 ) @ ( perm_n1667196784ion_pi @ SV154 @ SV573 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3257]) ).

thf(3524,plain,
    ! [SV574: late_subject,SV401: name,SV155: list_P227219501e_name] :
      ( ( ( fresh_717452603ubject @ ( perm_name_name @ SV155 @ SV401 ) @ ( perm_n1559866809ubject @ SV155 @ SV574 ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( perm_name_name @ SV155 @ SV401 ) @ ( perm_n1559866809ubject @ SV155 @ SV574 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3258]) ).

thf(3525,plain,
    ! [SV155: list_P227219501e_name,SV574: late_subject,SV401: name] :
      ( ( ( fresh_717452603ubject @ SV401 @ SV574 )
        = $true )
      | ( ( fresh_717452603ubject @ ( perm_name_name @ SV155 @ SV401 ) @ ( perm_n1559866809ubject @ SV155 @ SV574 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3259]) ).

thf(3526,plain,
    ! [SV574: late_subject,SV401: name,SV155: list_P227219501e_name] :
      ( ( ( fresh_717452603ubject @ ( perm_name_name @ SV155 @ SV401 ) @ ( perm_n1559866809ubject @ SV155 @ SV574 ) )
        = $true )
      | ( ( fresh_717452603ubject @ SV401 @ SV574 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3260]) ).

thf(3527,plain,
    ! [SV574: late_subject,SV401: name] :
      ( ( ( fresh_717452603ubject @ SV401 @ SV574 )
        = $true )
      | ( ( fresh_717452603ubject @ SV401 @ SV574 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3261]) ).

thf(3528,plain,
    ! [SV575: late_freeRes,SV402: name,SV156: list_P227219501e_name] :
      ( ( ( fresh_1641682979reeRes @ ( perm_name_name @ SV156 @ SV402 ) @ ( perm_n336613537reeRes @ SV156 @ SV575 ) )
        = $true )
      | ( ( fresh_1641682979reeRes @ ( perm_name_name @ SV156 @ SV402 ) @ ( perm_n336613537reeRes @ SV156 @ SV575 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3262]) ).

thf(3529,plain,
    ! [SV156: list_P227219501e_name,SV575: late_freeRes,SV402: name] :
      ( ( ( fresh_1641682979reeRes @ SV402 @ SV575 )
        = $true )
      | ( ( fresh_1641682979reeRes @ ( perm_name_name @ SV156 @ SV402 ) @ ( perm_n336613537reeRes @ SV156 @ SV575 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3263]) ).

thf(3530,plain,
    ! [SV575: late_freeRes,SV402: name,SV156: list_P227219501e_name] :
      ( ( ( fresh_1641682979reeRes @ ( perm_name_name @ SV156 @ SV402 ) @ ( perm_n336613537reeRes @ SV156 @ SV575 ) )
        = $true )
      | ( ( fresh_1641682979reeRes @ SV402 @ SV575 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3264]) ).

thf(3531,plain,
    ! [SV575: late_freeRes,SV402: name] :
      ( ( ( fresh_1641682979reeRes @ SV402 @ SV575 )
        = $true )
      | ( ( fresh_1641682979reeRes @ SV402 @ SV575 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3265]) ).

thf(3532,plain,
    ! [SV576: pi_Rep,SV403: name,SV157: list_P227219501e_name] :
      ( ( ( fresh_name_pi_Rep @ ( perm_name_name @ SV157 @ SV403 ) @ ( perm_name_pi_Rep @ SV157 @ SV576 ) )
        = $true )
      | ( ( fresh_name_pi_Rep @ ( perm_name_name @ SV157 @ SV403 ) @ ( perm_name_pi_Rep @ SV157 @ SV576 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3266]) ).

thf(3533,plain,
    ! [SV157: list_P227219501e_name,SV576: pi_Rep,SV403: name] :
      ( ( ( fresh_name_pi_Rep @ SV403 @ SV576 )
        = $true )
      | ( ( fresh_name_pi_Rep @ ( perm_name_name @ SV157 @ SV403 ) @ ( perm_name_pi_Rep @ SV157 @ SV576 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3267]) ).

thf(3534,plain,
    ! [SV576: pi_Rep,SV403: name,SV157: list_P227219501e_name] :
      ( ( ( fresh_name_pi_Rep @ ( perm_name_name @ SV157 @ SV403 ) @ ( perm_name_pi_Rep @ SV157 @ SV576 ) )
        = $true )
      | ( ( fresh_name_pi_Rep @ SV403 @ SV576 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3268]) ).

thf(3535,plain,
    ! [SV576: pi_Rep,SV403: name] :
      ( ( ( fresh_name_pi_Rep @ SV403 @ SV576 )
        = $true )
      | ( ( fresh_name_pi_Rep @ SV403 @ SV576 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3269]) ).

thf(3536,plain,
    ! [SV577: product_unit,SV404: name,SV158: list_P227219501e_name] :
      ( ( ( fresh_1143631827t_unit @ ( perm_name_name @ SV158 @ SV404 ) @ ( perm_n1960409557t_unit @ SV158 @ SV577 ) )
        = $true )
      | ( ( fresh_1143631827t_unit @ ( perm_name_name @ SV158 @ SV404 ) @ ( perm_n1960409557t_unit @ SV158 @ SV577 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3270]) ).

thf(3537,plain,
    ! [SV158: list_P227219501e_name,SV577: product_unit,SV404: name] :
      ( ( ( fresh_1143631827t_unit @ SV404 @ SV577 )
        = $true )
      | ( ( fresh_1143631827t_unit @ ( perm_name_name @ SV158 @ SV404 ) @ ( perm_n1960409557t_unit @ SV158 @ SV577 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3271]) ).

thf(3538,plain,
    ! [SV577: product_unit,SV404: name,SV158: list_P227219501e_name] :
      ( ( ( fresh_1143631827t_unit @ ( perm_name_name @ SV158 @ SV404 ) @ ( perm_n1960409557t_unit @ SV158 @ SV577 ) )
        = $true )
      | ( ( fresh_1143631827t_unit @ SV404 @ SV577 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3272]) ).

thf(3539,plain,
    ! [SV577: product_unit,SV404: name] :
      ( ( ( fresh_1143631827t_unit @ SV404 @ SV577 )
        = $true )
      | ( ( fresh_1143631827t_unit @ SV404 @ SV577 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3273]) ).

thf(3540,plain,
    ! [SV578: produc1141751126_pi_pi,SV405: name,SV159: list_P227219501e_name] :
      ( ( ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV159 @ SV405 ) @ ( perm_n1255502110_pi_pi @ SV159 @ SV578 ) )
        = $true )
      | ( ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV159 @ SV405 ) @ ( perm_n1255502110_pi_pi @ SV159 @ SV578 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3274]) ).

thf(3541,plain,
    ! [SV159: list_P227219501e_name,SV578: produc1141751126_pi_pi,SV405: name] :
      ( ( ( fresh_1376661020_pi_pi @ SV405 @ SV578 )
        = $true )
      | ( ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV159 @ SV405 ) @ ( perm_n1255502110_pi_pi @ SV159 @ SV578 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3275]) ).

thf(3542,plain,
    ! [SV578: produc1141751126_pi_pi,SV405: name,SV159: list_P227219501e_name] :
      ( ( ( fresh_1376661020_pi_pi @ ( perm_name_name @ SV159 @ SV405 ) @ ( perm_n1255502110_pi_pi @ SV159 @ SV578 ) )
        = $true )
      | ( ( fresh_1376661020_pi_pi @ SV405 @ SV578 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3276]) ).

thf(3543,plain,
    ! [SV578: produc1141751126_pi_pi,SV405: name] :
      ( ( ( fresh_1376661020_pi_pi @ SV405 @ SV578 )
        = $true )
      | ( ( fresh_1376661020_pi_pi @ SV405 @ SV578 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3277]) ).

thf(3544,plain,
    ! [SV579: name,SV406: name,SV160: list_P227219501e_name] :
      ( ( ( fresh_name_name @ ( perm_name_name @ SV160 @ SV406 ) @ ( perm_name_name @ SV160 @ SV579 ) )
        = $true )
      | ( ( fresh_name_name @ ( perm_name_name @ SV160 @ SV406 ) @ ( perm_name_name @ SV160 @ SV579 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3278]) ).

thf(3545,plain,
    ! [SV160: list_P227219501e_name,SV579: name,SV406: name] :
      ( ( ( fresh_name_name @ SV406 @ SV579 )
        = $true )
      | ( ( fresh_name_name @ ( perm_name_name @ SV160 @ SV406 ) @ ( perm_name_name @ SV160 @ SV579 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3279]) ).

thf(3546,plain,
    ! [SV579: name,SV406: name,SV160: list_P227219501e_name] :
      ( ( ( fresh_name_name @ ( perm_name_name @ SV160 @ SV406 ) @ ( perm_name_name @ SV160 @ SV579 ) )
        = $true )
      | ( ( fresh_name_name @ SV406 @ SV579 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3280]) ).

thf(3547,plain,
    ! [SV579: name,SV406: name] :
      ( ( ( fresh_name_name @ SV406 @ SV579 )
        = $true )
      | ( ( fresh_name_name @ SV406 @ SV579 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3281]) ).

thf(3548,plain,
    ! [SV580: name > noption_pi,SV407: name,SV161: list_P227219501e_name] :
      ( ( ( fresh_543891186ion_pi @ ( perm_name_name @ SV161 @ SV407 ) @ ( perm_n1667196784ion_pi @ SV161 @ SV580 ) )
        = $true )
      | ( ( fresh_543891186ion_pi @ ( perm_name_name @ SV161 @ SV407 ) @ ( perm_n1667196784ion_pi @ SV161 @ SV580 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3282]) ).

thf(3549,plain,
    ! [SV161: list_P227219501e_name,SV580: name > noption_pi,SV407: name] :
      ( ( ( fresh_543891186ion_pi @ SV407 @ SV580 )
        = $true )
      | ( ( fresh_543891186ion_pi @ ( perm_name_name @ SV161 @ SV407 ) @ ( perm_n1667196784ion_pi @ SV161 @ SV580 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3283]) ).

thf(3550,plain,
    ! [SV580: name > noption_pi,SV407: name,SV161: list_P227219501e_name] :
      ( ( ( fresh_543891186ion_pi @ ( perm_name_name @ SV161 @ SV407 ) @ ( perm_n1667196784ion_pi @ SV161 @ SV580 ) )
        = $true )
      | ( ( fresh_543891186ion_pi @ SV407 @ SV580 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3284]) ).

thf(3551,plain,
    ! [SV580: name > noption_pi,SV407: name] :
      ( ( ( fresh_543891186ion_pi @ SV407 @ SV580 )
        = $true )
      | ( ( fresh_543891186ion_pi @ SV407 @ SV580 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3285]) ).

thf(3552,plain,
    ! [SV593: late_subject,SV420: late_subject,SV174: list_P227219501e_name] :
      ( ( ( ( perm_n1559866809ubject @ SV174 @ SV420 )
          = ( perm_n1559866809ubject @ SV174 @ SV593 ) )
        = $true )
      | ( ( ( perm_n1559866809ubject @ SV174 @ SV420 )
          = ( perm_n1559866809ubject @ SV174 @ SV593 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3286]) ).

thf(3553,plain,
    ! [SV174: list_P227219501e_name,SV593: late_subject,SV420: late_subject] :
      ( ( ( SV420 = SV593 )
        = $true )
      | ( ( ( perm_n1559866809ubject @ SV174 @ SV420 )
          = ( perm_n1559866809ubject @ SV174 @ SV593 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3287]) ).

thf(3554,plain,
    ! [SV593: late_subject,SV420: late_subject,SV174: list_P227219501e_name] :
      ( ( ( ( perm_n1559866809ubject @ SV174 @ SV420 )
          = ( perm_n1559866809ubject @ SV174 @ SV593 ) )
        = $true )
      | ( ( SV420 = SV593 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3288]) ).

thf(3555,plain,
    ! [SV593: late_subject,SV420: late_subject] :
      ( ( ( SV420 = SV593 )
        = $true )
      | ( ( SV420 = SV593 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3289]) ).

thf(3556,plain,
    ! [SV594: late_freeRes,SV421: late_freeRes,SV175: list_P227219501e_name] :
      ( ( ( ( perm_n336613537reeRes @ SV175 @ SV421 )
          = ( perm_n336613537reeRes @ SV175 @ SV594 ) )
        = $true )
      | ( ( ( perm_n336613537reeRes @ SV175 @ SV421 )
          = ( perm_n336613537reeRes @ SV175 @ SV594 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3290]) ).

thf(3557,plain,
    ! [SV175: list_P227219501e_name,SV594: late_freeRes,SV421: late_freeRes] :
      ( ( ( SV421 = SV594 )
        = $true )
      | ( ( ( perm_n336613537reeRes @ SV175 @ SV421 )
          = ( perm_n336613537reeRes @ SV175 @ SV594 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3291]) ).

thf(3558,plain,
    ! [SV594: late_freeRes,SV421: late_freeRes,SV175: list_P227219501e_name] :
      ( ( ( ( perm_n336613537reeRes @ SV175 @ SV421 )
          = ( perm_n336613537reeRes @ SV175 @ SV594 ) )
        = $true )
      | ( ( SV421 = SV594 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3292]) ).

thf(3559,plain,
    ! [SV594: late_freeRes,SV421: late_freeRes] :
      ( ( ( SV421 = SV594 )
        = $true )
      | ( ( SV421 = SV594 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3293]) ).

thf(3560,plain,
    ! [SV595: pi_Rep,SV422: pi_Rep,SV176: list_P227219501e_name] :
      ( ( ( ( perm_name_pi_Rep @ SV176 @ SV422 )
          = ( perm_name_pi_Rep @ SV176 @ SV595 ) )
        = $true )
      | ( ( ( perm_name_pi_Rep @ SV176 @ SV422 )
          = ( perm_name_pi_Rep @ SV176 @ SV595 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3294]) ).

thf(3561,plain,
    ! [SV176: list_P227219501e_name,SV595: pi_Rep,SV422: pi_Rep] :
      ( ( ( SV422 = SV595 )
        = $true )
      | ( ( ( perm_name_pi_Rep @ SV176 @ SV422 )
          = ( perm_name_pi_Rep @ SV176 @ SV595 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3295]) ).

thf(3562,plain,
    ! [SV595: pi_Rep,SV422: pi_Rep,SV176: list_P227219501e_name] :
      ( ( ( ( perm_name_pi_Rep @ SV176 @ SV422 )
          = ( perm_name_pi_Rep @ SV176 @ SV595 ) )
        = $true )
      | ( ( SV422 = SV595 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3296]) ).

thf(3563,plain,
    ! [SV595: pi_Rep,SV422: pi_Rep] :
      ( ( ( SV422 = SV595 )
        = $true )
      | ( ( SV422 = SV595 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3297]) ).

thf(3564,plain,
    ! [SV596: name,SV423: name,SV177: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV177 @ SV423 )
          = ( perm_name_name @ SV177 @ SV596 ) )
        = $true )
      | ( ( ( perm_name_name @ SV177 @ SV423 )
          = ( perm_name_name @ SV177 @ SV596 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3298]) ).

thf(3565,plain,
    ! [SV177: list_P227219501e_name,SV596: name,SV423: name] :
      ( ( ( SV423 = SV596 )
        = $true )
      | ( ( ( perm_name_name @ SV177 @ SV423 )
          = ( perm_name_name @ SV177 @ SV596 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3299]) ).

thf(3566,plain,
    ! [SV596: name,SV423: name,SV177: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV177 @ SV423 )
          = ( perm_name_name @ SV177 @ SV596 ) )
        = $true )
      | ( ( SV423 = SV596 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3300]) ).

thf(3567,plain,
    ! [SV596: name,SV423: name] :
      ( ( ( SV423 = SV596 )
        = $true )
      | ( ( SV423 = SV596 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3301]) ).

thf(3568,plain,
    ! [SV605: late_subject,SV432: late_subject,SV186: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV186 @ ( SV432 = SV605 ) )
        = $true )
      | ( ( perm_name_o @ SV186 @ ( SV432 = SV605 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3302]) ).

thf(3569,plain,
    ! [SV605: late_subject,SV432: late_subject,SV186: list_P227219501e_name] :
      ( ( ( ( perm_n1559866809ubject @ SV186 @ SV432 )
          = ( perm_n1559866809ubject @ SV186 @ SV605 ) )
        = $true )
      | ( ( perm_name_o @ SV186 @ ( SV432 = SV605 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3303]) ).

thf(3570,plain,
    ! [SV605: late_subject,SV432: late_subject,SV186: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV186 @ ( SV432 = SV605 ) )
        = $true )
      | ( ( ( perm_n1559866809ubject @ SV186 @ SV432 )
          = ( perm_n1559866809ubject @ SV186 @ SV605 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3304]) ).

thf(3571,plain,
    ! [SV605: late_subject,SV432: late_subject,SV186: list_P227219501e_name] :
      ( ( ( ( perm_n1559866809ubject @ SV186 @ SV432 )
          = ( perm_n1559866809ubject @ SV186 @ SV605 ) )
        = $true )
      | ( ( ( perm_n1559866809ubject @ SV186 @ SV432 )
          = ( perm_n1559866809ubject @ SV186 @ SV605 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3305]) ).

thf(3572,plain,
    ! [SV606: late_freeRes,SV433: late_freeRes,SV187: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV187 @ ( SV433 = SV606 ) )
        = $true )
      | ( ( perm_name_o @ SV187 @ ( SV433 = SV606 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3306]) ).

thf(3573,plain,
    ! [SV606: late_freeRes,SV433: late_freeRes,SV187: list_P227219501e_name] :
      ( ( ( ( perm_n336613537reeRes @ SV187 @ SV433 )
          = ( perm_n336613537reeRes @ SV187 @ SV606 ) )
        = $true )
      | ( ( perm_name_o @ SV187 @ ( SV433 = SV606 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3307]) ).

thf(3574,plain,
    ! [SV606: late_freeRes,SV433: late_freeRes,SV187: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV187 @ ( SV433 = SV606 ) )
        = $true )
      | ( ( ( perm_n336613537reeRes @ SV187 @ SV433 )
          = ( perm_n336613537reeRes @ SV187 @ SV606 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3308]) ).

thf(3575,plain,
    ! [SV606: late_freeRes,SV433: late_freeRes,SV187: list_P227219501e_name] :
      ( ( ( ( perm_n336613537reeRes @ SV187 @ SV433 )
          = ( perm_n336613537reeRes @ SV187 @ SV606 ) )
        = $true )
      | ( ( ( perm_n336613537reeRes @ SV187 @ SV433 )
          = ( perm_n336613537reeRes @ SV187 @ SV606 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3309]) ).

thf(3576,plain,
    ! [SV607: pi_Rep,SV434: pi_Rep,SV188: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV188 @ ( SV434 = SV607 ) )
        = $true )
      | ( ( perm_name_o @ SV188 @ ( SV434 = SV607 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3310]) ).

thf(3577,plain,
    ! [SV607: pi_Rep,SV434: pi_Rep,SV188: list_P227219501e_name] :
      ( ( ( ( perm_name_pi_Rep @ SV188 @ SV434 )
          = ( perm_name_pi_Rep @ SV188 @ SV607 ) )
        = $true )
      | ( ( perm_name_o @ SV188 @ ( SV434 = SV607 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3311]) ).

thf(3578,plain,
    ! [SV607: pi_Rep,SV434: pi_Rep,SV188: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV188 @ ( SV434 = SV607 ) )
        = $true )
      | ( ( ( perm_name_pi_Rep @ SV188 @ SV434 )
          = ( perm_name_pi_Rep @ SV188 @ SV607 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3312]) ).

thf(3579,plain,
    ! [SV607: pi_Rep,SV434: pi_Rep,SV188: list_P227219501e_name] :
      ( ( ( ( perm_name_pi_Rep @ SV188 @ SV434 )
          = ( perm_name_pi_Rep @ SV188 @ SV607 ) )
        = $true )
      | ( ( ( perm_name_pi_Rep @ SV188 @ SV434 )
          = ( perm_name_pi_Rep @ SV188 @ SV607 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3313]) ).

thf(3580,plain,
    ! [SV608: name,SV435: name,SV189: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV189 @ ( SV435 = SV608 ) )
        = $true )
      | ( ( perm_name_o @ SV189 @ ( SV435 = SV608 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3314]) ).

thf(3581,plain,
    ! [SV608: name,SV435: name,SV189: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV189 @ SV435 )
          = ( perm_name_name @ SV189 @ SV608 ) )
        = $true )
      | ( ( perm_name_o @ SV189 @ ( SV435 = SV608 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3315]) ).

thf(3582,plain,
    ! [SV608: name,SV435: name,SV189: list_P227219501e_name] :
      ( ( ( perm_name_o @ SV189 @ ( SV435 = SV608 ) )
        = $true )
      | ( ( ( perm_name_name @ SV189 @ SV435 )
          = ( perm_name_name @ SV189 @ SV608 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3316]) ).

thf(3583,plain,
    ! [SV608: name,SV435: name,SV189: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV189 @ SV435 )
          = ( perm_name_name @ SV189 @ SV608 ) )
        = $true )
      | ( ( ( perm_name_name @ SV189 @ SV435 )
          = ( perm_name_name @ SV189 @ SV608 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3317]) ).

thf(3584,plain,
    ! [SV680: pi,SV609: name,SV190: pi,SV925: pi,SV834: name,SV436: name,SV754: pi] :
      ( ( ( ~ ( late_transitions @ SV754 @ ( late_BoundR @ ( late_InputS @ SV436 ) @ SV834 @ SV925 ) ) )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV834 @ SV190 )
          | ~ ( fresh_name_pi @ SV834 @ SV754 )
          | ~ ( fresh_name_pi @ SV609 @ SV190 )
          | ~ ( fresh_name_pi @ SV609 @ SV754 )
          | ( SV834 = SV436 )
          | ~ ( fresh_name_pi @ SV834 @ SV680 )
          | ( SV609 = SV436 )
          | ~ ( fresh_name_pi @ SV609 @ SV925 )
          | ( SV834 = SV609 )
          | ( late_transitions @ ( par @ SV190 @ SV754 ) @ ( late_FreeR @ late_TauR @ ( res @ SV609 @ ( par @ SV680 @ ( subs @ SV925 @ SV834 @ SV609 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV190 @ ( late_BoundR @ ( late_BoundOutputS @ SV436 ) @ SV609 @ SV680 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3318]) ).

thf(3585,plain,
    ! [SV681: pi,SV191: pi,SV610: name,SV926: pi,SV835: name,SV437: name,SV755: pi] :
      ( ( ( ~ ( late_transitions @ SV755 @ ( late_BoundR @ ( late_BoundOutputS @ SV437 ) @ SV835 @ SV926 ) ) )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV610 @ SV191 )
          | ~ ( fresh_name_pi @ SV610 @ SV755 )
          | ~ ( fresh_name_pi @ SV835 @ SV191 )
          | ~ ( fresh_name_pi @ SV835 @ SV755 )
          | ( SV610 = SV437 )
          | ~ ( fresh_name_pi @ SV610 @ SV926 )
          | ( SV835 = SV437 )
          | ~ ( fresh_name_pi @ SV835 @ SV681 )
          | ( SV610 = SV835 )
          | ( late_transitions @ ( par @ SV191 @ SV755 ) @ ( late_FreeR @ late_TauR @ ( res @ SV835 @ ( par @ ( subs @ SV681 @ SV610 @ SV835 ) @ SV926 ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV191 @ ( late_BoundR @ ( late_InputS @ SV437 ) @ SV610 @ SV681 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3319]) ).

thf(3586,plain,
    ! [SV682: pi,SV192: pi,SV611: name,SV927: pi,SV836: name,SV438: name,SV756: pi] :
      ( ( ( ~ ( late_transitions @ SV756 @ ( late_BoundR @ ( late_InputS @ SV438 ) @ SV836 @ SV927 ) ) )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV611 @ SV756 )
          | ( late_transitions @ ( par @ SV192 @ SV756 ) @ ( late_FreeR @ late_TauR @ ( res @ SV611 @ ( par @ SV682 @ ( subs @ SV927 @ SV836 @ SV611 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV192 @ ( late_BoundR @ ( late_BoundOutputS @ SV438 ) @ SV611 @ SV682 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3320]) ).

thf(3587,plain,
    ! [SV612: name,SV683: pi,SV193: pi,SV928: pi,SV837: name,SV439: name,SV757: pi] :
      ( ( ( ~ ( late_transitions @ SV757 @ ( late_BoundR @ ( late_BoundOutputS @ SV439 ) @ SV837 @ SV928 ) ) )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV837 @ SV193 )
          | ( late_transitions @ ( par @ SV193 @ SV757 ) @ ( late_FreeR @ late_TauR @ ( res @ SV837 @ ( par @ ( subs @ SV683 @ SV612 @ SV837 ) @ SV928 ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV193 @ ( late_BoundR @ ( late_InputS @ SV439 ) @ SV612 @ SV683 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3321]) ).

thf(3588,plain,
    ! [SV684: pi,SV613: name,SV194: pi,SV929: pi,SV838: name,SV440: name,SV758: pi] :
      ( ( ( ~ ( late_transitions @ SV758 @ ( late_BoundR @ ( late_InputS @ SV440 ) @ SV838 @ SV929 ) ) )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV838 @ SV194 )
          | ~ ( fresh_name_pi @ SV838 @ SV758 )
          | ( SV838 = SV440 )
          | ( SV838 = SV613 )
          | ~ ( fresh_name_pi @ SV838 @ SV684 )
          | ( late_transitions @ ( par @ SV194 @ SV758 ) @ ( late_FreeR @ late_TauR @ ( par @ SV684 @ ( subs @ SV929 @ SV838 @ SV613 ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV194 @ ( late_FreeR @ ( late_OutputR @ SV440 @ SV613 ) @ SV684 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3322]) ).

thf(3589,plain,
    ! [SV685: pi,SV195: pi,SV614: name,SV930: pi,SV839: name,SV441: name,SV759: pi] :
      ( ( ( ~ ( late_transitions @ SV759 @ ( late_FreeR @ ( late_OutputR @ SV441 @ SV839 ) @ SV930 ) ) )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV614 @ SV195 )
          | ~ ( fresh_name_pi @ SV614 @ SV759 )
          | ( SV614 = SV441 )
          | ( SV614 = SV839 )
          | ~ ( fresh_name_pi @ SV614 @ SV930 )
          | ( late_transitions @ ( par @ SV195 @ SV759 ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ SV685 @ SV614 @ SV839 ) @ SV930 ) ) ) )
        = $true )
      | ( ( late_transitions @ SV195 @ ( late_BoundR @ ( late_InputS @ SV441 ) @ SV614 @ SV685 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3323]) ).

thf(3590,plain,
    ! [SV615: name,SV686: pi,SV196: pi,SV931: pi,SV840: name,SV442: name,SV760: pi] :
      ( ( ( ~ ( late_transitions @ SV760 @ ( late_BoundR @ ( late_InputS @ SV442 ) @ SV840 @ SV931 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV196 @ SV760 ) @ ( late_FreeR @ late_TauR @ ( par @ SV686 @ ( subs @ SV931 @ SV840 @ SV615 ) ) ) )
        = $true )
      | ( ( late_transitions @ SV196 @ ( late_FreeR @ ( late_OutputR @ SV442 @ SV615 ) @ SV686 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3324]) ).

thf(3591,plain,
    ! [SV616: name,SV687: pi,SV197: pi,SV932: pi,SV841: name,SV443: name,SV761: pi] :
      ( ( ( ~ ( late_transitions @ SV761 @ ( late_FreeR @ ( late_OutputR @ SV443 @ SV841 ) @ SV932 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV197 @ SV761 ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ SV687 @ SV616 @ SV841 ) @ SV932 ) ) )
        = $true )
      | ( ( late_transitions @ SV197 @ ( late_BoundR @ ( late_InputS @ SV443 ) @ SV616 @ SV687 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3325]) ).

thf(3592,plain,
    ! [SV620: name,SV449: name,SV205: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV205 @ SV449 )
          = ( perm_name_name @ SV205 @ SV620 ) )
        = $true )
      | ( ( ( perm_name_name @ SV205 @ SV449 )
          = ( perm_name_name @ SV205 @ SV620 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3330]) ).

thf(3593,plain,
    ! [SV205: list_P227219501e_name,SV620: name,SV449: name] :
      ( ( ( SV449 = SV620 )
        = $true )
      | ( ( ( perm_name_name @ SV205 @ SV449 )
          = ( perm_name_name @ SV205 @ SV620 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3331]) ).

thf(3594,plain,
    ! [SV620: name,SV449: name,SV205: list_P227219501e_name] :
      ( ( ( ( perm_name_name @ SV205 @ SV449 )
          = ( perm_name_name @ SV205 @ SV620 ) )
        = $true )
      | ( ( SV449 = SV620 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3332]) ).

thf(3595,plain,
    ! [SV620: name,SV449: name] :
      ( ( ( SV449 = SV620 )
        = $true )
      | ( ( SV449 = SV620 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3333]) ).

thf(3596,plain,
    ! [SV762: set_Pr1834926343_pi_pi,SV690: name,SV621: late_subject,SV452: pi,SV209: pi,SV973: list_P227219501e_name] :
      ( ( ( strong2129052853vative @ ( perm_name_pi @ SV973 @ SV209 ) @ ( perm_name_pi @ SV973 @ SV452 ) @ ( perm_n1559866809ubject @ SV973 @ SV621 ) @ ( perm_name_name @ SV973 @ SV690 ) @ SV762 )
        = $true )
      | ( ( eqvt_pi @ SV762 )
        = $false )
      | ( ( strong2129052853vative @ SV209 @ SV452 @ SV621 @ SV690 @ SV762 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3334]) ).

thf(3597,plain,
    ! [SV691: name,SV453: name] :
      ( ( ( ~ ( fresh_name_name @ SV453 @ SV691 ) )
        = $false )
      | ( ( fresh_name_name @ SV453 @ SV691 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3335]) ).

thf(3598,plain,
    ! [SV691: name,SV453: name] :
      ( ( ( ~ ( ( SV453 != SV691 ) ) )
        = $false )
      | ( ( fresh_name_name @ SV453 @ SV691 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3335]) ).

thf(3599,plain,
    ! [SV691: name,SV453: name] :
      ( ( ( ~ ( fresh_name_name @ SV453 @ SV691 )
          | ~ ( ( SV453 != SV691 ) ) )
        = $false )
      | ( ( SV453 = SV691 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3336]) ).

thf(3600,plain,
    ! [SV624: pi,SV462: name,SV224: name] :
      ( ( ( fresh_name_pi @ SV224 @ ( res @ SV462 @ SV624 ) )
        = $true )
      | ( ( fresh_name_pi @ SV224 @ ( res @ SV462 @ SV624 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3341]) ).

thf(3601,plain,
    ! [SV624: pi,SV462: name,SV224: name] :
      ( ( ( fresh_543891186ion_pi @ SV224 @ ( abs_fun_name_pi @ SV462 @ SV624 ) )
        = $true )
      | ( ( fresh_name_pi @ SV224 @ ( res @ SV462 @ SV624 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3342]) ).

thf(3602,plain,
    ! [SV624: pi,SV462: name,SV224: name] :
      ( ( ( fresh_name_pi @ SV224 @ ( res @ SV462 @ SV624 ) )
        = $true )
      | ( ( fresh_543891186ion_pi @ SV224 @ ( abs_fun_name_pi @ SV462 @ SV624 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3343]) ).

thf(3603,plain,
    ! [SV624: pi,SV462: name,SV224: name] :
      ( ( ( fresh_543891186ion_pi @ SV224 @ ( abs_fun_name_pi @ SV462 @ SV624 ) )
        = $true )
      | ( ( fresh_543891186ion_pi @ SV224 @ ( abs_fun_name_pi @ SV462 @ SV624 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3344]) ).

thf(3604,plain,
    ! [SV228: pi > late_residual > $o] :
      ( ( ( SV228 @ ( sK33_SY1010 @ SV228 ) @ ( late_FreeR @ ( sK31_FreeRes2 @ SV228 ) @ ( sK32_SY1008 @ SV228 ) ) )
        = $false )
      | ( ( ! [SY1593: pi,SY1594: late_residual] : ( SV228 @ SY1593 @ SY1594 ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK35_SY1011 @ SV228 ) @ ( sK34_Subject2 @ SV228 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3346]) ).

thf(3605,plain,
    ! [SV228: pi > late_residual > $o] :
      ( ( ( ~ ( SV228 @ ( sK33_SY1010 @ SV228 ) @ ( late_FreeR @ ( sK31_FreeRes2 @ SV228 ) @ ( sK32_SY1008 @ SV228 ) ) ) )
        = $true )
      | ( ( ! [SY1593: pi,SY1594: late_residual] : ( SV228 @ SY1593 @ SY1594 ) )
        = $true )
      | ( ( SV228 @ ( sK37_SY1016 @ SV228 ) @ ( late_BoundR @ ( sK34_Subject2 @ SV228 ) @ ( sK35_SY1011 @ SV228 ) @ ( sK36_SY1014 @ SV228 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3347]) ).

thf(3606,plain,
    ! [SV625: late_subject,SV695: name,SV767: pi,SV465: pi,SV229: pi] :
      ( ( ( ( par @ SV229 @ SV465 )
         != ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( ~ ( ( ( par @ SV229 @ SV465 )
               != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                     != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3348]) ).

thf(3607,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                 != ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                  | ~ ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( par @ SV229 @ SV465 )
               != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                     != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3348]) ).

thf(3608,plain,
    ! [SV768: pi,SV626: late_subject,SV230: pi,SV466: pi,SV696: name] :
      ( ( ( ~ ( fresh_name_pi @ SV696 @ SV466 ) )
        = $true )
      | ( ( ! [SY2354: pi > $o] :
              ( ~ ( ~ ( late_transitions @ SV230 @ ( late_BoundR @ SV626 @ SV696 @ ( sK95_P4 @ SY2354 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
                  | ~ ~ ( SY2354 @ ( par @ ( sK95_P4 @ SY2354 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) @ SV466 ) ) )
              | ~ ( ~ ( late_transitions @ SV466 @ ( late_BoundR @ SV626 @ SV696 @ ( sK94_Q4 @ SY2354 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
                  | ~ ~ ( SY2354 @ ( par @ SV230 @ ( sK94_Q4 @ SY2354 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) ) )
              | ( SY2354 @ SV768 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV696 @ SV230 )
        = $false )
      | ( ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SV626 @ SV696 @ SV768 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3349]) ).

thf(3609,plain,
    ! [SV231: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( SV231 @ ( sK19_SY992 @ SV231 ) @ ( late_FreeR @ ( sK17_FreeRes2 @ SV231 ) @ ( sK18_SY990 @ SV231 ) ) )
        = $false )
      | ( ( ! [SY1604: produc1141751126_pi_pi,SY1605: late_residual] : ( SV231 @ SY1604 @ SY1605 ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK21_SY993 @ SV231 ) @ ( sK20_Subject2 @ SV231 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3351]) ).

thf(3610,plain,
    ! [SV231: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( ~ ( SV231 @ ( sK19_SY992 @ SV231 ) @ ( late_FreeR @ ( sK17_FreeRes2 @ SV231 ) @ ( sK18_SY990 @ SV231 ) ) ) )
        = $true )
      | ( ( ! [SY1604: produc1141751126_pi_pi,SY1605: late_residual] : ( SV231 @ SY1604 @ SY1605 ) )
        = $true )
      | ( ( SV231 @ ( sK23_SY998 @ SV231 ) @ ( late_BoundR @ ( sK20_Subject2 @ SV231 ) @ ( sK21_SY993 @ SV231 ) @ ( sK22_SY996 @ SV231 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3352]) ).

thf(3611,plain,
    ! [SV627: late_subject,SV697: name,SV769: pi,SV467: pi,SV232: name] :
      ( ( ( ( res @ SV232 @ SV467 )
         != ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV232 @ SV467 )
               != ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                     != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                           != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3353]) ).

thf(3612,plain,
    ! [SV232: name,SV467: pi,SV769: pi,SV697: name,SV627: late_subject] :
      ( ( ( ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                 != ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                      | ~ ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                           != ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV232 @ SV467 )
               != ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                     != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                           != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3353]) ).

thf(3613,plain,
    ! [SV628: pi,SV471: late_freeRes,SV234: name] :
      ( ( ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SV628 ) )
        = $true )
      | ( ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SV628 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3357]) ).

thf(3614,plain,
    ! [SV628: pi,SV471: late_freeRes,SV234: name] :
      ( ( ( ~ ( ~ ( fresh_1641682979reeRes @ SV234 @ SV471 )
              | ~ ( fresh_name_pi @ SV234 @ SV628 ) ) )
        = $true )
      | ( ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SV628 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3358]) ).

thf(3615,plain,
    ! [SV628: pi,SV471: late_freeRes,SV234: name] :
      ( ( ( fresh_1641682979reeRes @ SV234 @ SV471 )
        = $false )
      | ( ( ~ ( fresh_name_pi @ SV234 @ SV628 ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SV628 ) )
              | ~ ~ ( ~ ( fresh_1641682979reeRes @ SV234 @ SV471 )
                    | ~ ( fresh_name_pi @ SV234 @ SV628 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3359]) ).

thf(3616,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                           != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3363]) ).

thf(3617,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
                     != ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                           != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
          | ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3364]) ).

thf(3618,plain,
    ! [SV630: name,SV477: name,SV238: name] :
      ( ( ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SV630 ) )
        = $true )
      | ( ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SV630 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3368]) ).

thf(3619,plain,
    ! [SV630: name,SV477: name,SV238: name] :
      ( ( ( ~ ( ~ ( fresh_name_name @ SV238 @ SV477 )
              | ~ ( fresh_name_name @ SV238 @ SV630 ) ) )
        = $true )
      | ( ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SV630 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3369]) ).

thf(3620,plain,
    ! [SV630: name,SV477: name,SV238: name] :
      ( ( ( fresh_name_name @ SV238 @ SV477 )
        = $false )
      | ( ( ~ ( fresh_name_name @ SV238 @ SV630 ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SV630 ) )
              | ~ ~ ( ~ ( fresh_name_name @ SV238 @ SV477 )
                    | ~ ( fresh_name_name @ SV238 @ SV630 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3370]) ).

thf(3621,plain,
    ! [SV698: list_P227219501e_name,SV631: produc367475239e_name,SV479: list_P227219501e_name,SV240: produc367475239e_name] :
      ( ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
         != ( cons_P1213805021e_name @ SV631 @ SV698 ) )
        = $false )
      | ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
          = ( cons_P1213805021e_name @ SV631 @ SV698 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3374]) ).

thf(3622,plain,
    ! [SV698: list_P227219501e_name,SV479: list_P227219501e_name,SV631: produc367475239e_name,SV240: produc367475239e_name] :
      ( ( ( ~ ~ ( ( SV240 != SV631 )
                | ( SV479 != SV698 ) ) )
        = $false )
      | ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
          = ( cons_P1213805021e_name @ SV631 @ SV698 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3374]) ).

thf(3623,plain,
    ! [SV698: list_P227219501e_name,SV479: list_P227219501e_name,SV631: produc367475239e_name,SV240: produc367475239e_name] :
      ( ( ( SV240 != SV631 )
        = $true )
      | ( ( SV479 != SV698 )
        = $true )
      | ( ( ~ ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
               != ( cons_P1213805021e_name @ SV631 @ SV698 ) )
              | ~ ~ ( ( SV240 != SV631 )
                    | ( SV479 != SV698 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3375]) ).

thf(3624,plain,
    ! [SV241: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( SV241 @ ( sK47_SY1028 @ SV241 ) @ ( late_FreeR @ ( sK45_FreeRes2 @ SV241 ) @ ( sK46_SY1026 @ SV241 ) ) )
        = $false )
      | ( ( ! [SY1639: produc1141751126_pi_pi,SY1640: late_residual] : ( SV241 @ SY1639 @ SY1640 ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK49_SY1029 @ SV241 ) @ ( sK48_Subject2 @ SV241 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3377]) ).

thf(3625,plain,
    ! [SV241: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( ~ ( SV241 @ ( sK47_SY1028 @ SV241 ) @ ( late_FreeR @ ( sK45_FreeRes2 @ SV241 ) @ ( sK46_SY1026 @ SV241 ) ) ) )
        = $true )
      | ( ( ! [SY1639: produc1141751126_pi_pi,SY1640: late_residual] : ( SV241 @ SY1639 @ SY1640 ) )
        = $true )
      | ( ( SV241 @ ( sK51_SY1034 @ SV241 ) @ ( late_BoundR @ ( sK48_Subject2 @ SV241 ) @ ( sK49_SY1029 @ SV241 ) @ ( sK50_SY1032 @ SV241 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3378]) ).

thf(3626,plain,
    ! [SV632: pi,SV480: pi,SV242: name] :
      ( ( ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SV632 ) )
        = $true )
      | ( ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SV632 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3379]) ).

thf(3627,plain,
    ! [SV632: pi,SV480: pi,SV242: name] :
      ( ( ( ~ ( ~ ( fresh_name_pi @ SV242 @ SV480 )
              | ~ ( fresh_name_pi @ SV242 @ SV632 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SV632 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3380]) ).

thf(3628,plain,
    ! [SV632: pi,SV480: pi,SV242: name] :
      ( ( ( fresh_name_pi @ SV242 @ SV480 )
        = $false )
      | ( ( ~ ( fresh_name_pi @ SV242 @ SV632 ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SV632 ) )
              | ~ ~ ( ~ ( fresh_name_pi @ SV242 @ SV480 )
                    | ~ ( fresh_name_pi @ SV242 @ SV632 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3381]) ).

thf(3629,plain,
    ! [SV699: name,SV633: name,SV481: name,SV243: name] :
      ( ( ( ( late_OutputR @ SV243 @ SV481 )
         != ( late_OutputR @ SV633 @ SV699 ) )
        = $false )
      | ( ( ( late_OutputR @ SV243 @ SV481 )
          = ( late_OutputR @ SV633 @ SV699 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3382]) ).

thf(3630,plain,
    ! [SV699: name,SV481: name,SV633: name,SV243: name] :
      ( ( ( ~ ~ ( ( SV243 != SV633 )
                | ( SV481 != SV699 ) ) )
        = $false )
      | ( ( ( late_OutputR @ SV243 @ SV481 )
          = ( late_OutputR @ SV633 @ SV699 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3382]) ).

thf(3631,plain,
    ! [SV699: name,SV481: name,SV633: name,SV243: name] :
      ( ( ( SV243 != SV633 )
        = $true )
      | ( ( SV481 != SV699 )
        = $true )
      | ( ( ~ ( ( ( late_OutputR @ SV243 @ SV481 )
               != ( late_OutputR @ SV633 @ SV699 ) )
              | ~ ~ ( ( SV243 != SV633 )
                    | ( SV481 != SV699 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3383]) ).

thf(3632,plain,
    ! [SV244: product_unit > late_residual > $o] :
      ( ( ( SV244 @ ( sK54_SY1037 @ SV244 ) @ ( late_FreeR @ ( sK52_FreeRes2 @ SV244 ) @ ( sK53_SY1035 @ SV244 ) ) )
        = $false )
      | ( ( ! [SY1646: product_unit,SY1647: late_residual] : ( SV244 @ SY1646 @ SY1647 ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK56_SY1038 @ SV244 ) @ ( sK55_Subject2 @ SV244 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3385]) ).

thf(3633,plain,
    ! [SV244: product_unit > late_residual > $o] :
      ( ( ( ~ ( SV244 @ ( sK54_SY1037 @ SV244 ) @ ( late_FreeR @ ( sK52_FreeRes2 @ SV244 ) @ ( sK53_SY1035 @ SV244 ) ) ) )
        = $true )
      | ( ( ! [SY1646: product_unit,SY1647: late_residual] : ( SV244 @ SY1646 @ SY1647 ) )
        = $true )
      | ( ( SV244 @ ( sK58_SY1043 @ SV244 ) @ ( late_BoundR @ ( sK55_Subject2 @ SV244 ) @ ( sK56_SY1038 @ SV244 ) @ ( sK57_SY1041 @ SV244 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3386]) ).

thf(3634,plain,
    ! [SV245: name > late_residual > $o] :
      ( ( ( SV245 @ ( sK12_SY983 @ SV245 ) @ ( late_FreeR @ ( sK10_FreeRes2 @ SV245 ) @ ( sK11_SY981 @ SV245 ) ) )
        = $false )
      | ( ( ! [SY1648: name,SY1649: late_residual] : ( SV245 @ SY1648 @ SY1649 ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK14_SY984 @ SV245 ) @ ( sK13_Subject2 @ SV245 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3388]) ).

thf(3635,plain,
    ! [SV245: name > late_residual > $o] :
      ( ( ( ~ ( SV245 @ ( sK12_SY983 @ SV245 ) @ ( late_FreeR @ ( sK10_FreeRes2 @ SV245 ) @ ( sK11_SY981 @ SV245 ) ) ) )
        = $true )
      | ( ( ! [SY1648: name,SY1649: late_residual] : ( SV245 @ SY1648 @ SY1649 ) )
        = $true )
      | ( ( SV245 @ ( sK16_SY989 @ SV245 ) @ ( late_BoundR @ ( sK13_Subject2 @ SV245 ) @ ( sK14_SY984 @ SV245 ) @ ( sK15_SY987 @ SV245 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3389]) ).

thf(3636,plain,
    ! [SV634: list_pi,SV482: pi,SV246: name] :
      ( ( ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SV634 ) )
        = $true )
      | ( ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SV634 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3390]) ).

thf(3637,plain,
    ! [SV482: pi,SV634: list_pi,SV246: name] :
      ( ( ( ~ ( ~ ( fresh_name_list_pi @ SV246 @ SV634 )
              | ~ ( fresh_name_pi @ SV246 @ SV482 ) ) )
        = $true )
      | ( ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SV634 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3391]) ).

thf(3638,plain,
    ! [SV482: pi,SV634: list_pi,SV246: name] :
      ( ( ( fresh_name_list_pi @ SV246 @ SV634 )
        = $false )
      | ( ( ~ ( fresh_name_pi @ SV246 @ SV482 ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SV634 ) )
              | ~ ~ ( ~ ( fresh_name_list_pi @ SV246 @ SV634 )
                    | ~ ( fresh_name_pi @ SV246 @ SV482 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3392]) ).

thf(3639,plain,
    ! [SV959: pi,SV770: name,SV700: late_subject,SV635: pi,SV488: name,SV250: name] :
      ( ( ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SV959 ) ) )
        = $true )
      | ( ( ( SV770 = SV250 )
          | ( SV770 = SV488 )
          | ~ ( fresh_name_pi @ SV770 @ SV635 )
          | ( SV700
            = ( late_InputS @ SV250 ) )
          | ! [SY2444: late_subject > name > pi > $o] : ( SY2444 @ SV700 @ SV770 @ SV959 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3402]) ).

thf(3640,plain,
    ! [SV770: name,SV700: late_subject,SV635: pi,SV488: name,SV250: name] :
      ( ( ~ ! [SY2357: pi] :
              ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SY2357 ) )
              | ( SV770 = SV250 )
              | ( SV770 = SV488 )
              | ~ ( fresh_name_pi @ SV770 @ SV635 )
              | ( SY2357
                = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
              | ! [SY2358: late_subject > name > pi > $o] : ( SY2358 @ SV700 @ SV770 @ SY2357 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3403]) ).

thf(3641,plain,
    ! [SV770: name,SV700: late_subject,SV635: pi,SV488: name,SV250: name] :
      ( ( ~ ! [SY2359: pi] :
              ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SY2359 ) )
              | ( SV770 = SV250 )
              | ( SV770 = SV488 )
              | ~ ( fresh_name_pi @ SV770 @ SV635 )
              | ! [SY2360: late_subject > name > pi > $o] :
                  ( ~ ( SY2360 @ ( late_InputS @ SV250 ) @ SV770 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
                  | ( SY2360 @ SV700 @ SV770 @ SY2359 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3403]) ).

thf(3642,plain,
    ! [SV636: name,SV489: name,SV251: name] :
      ( ( ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SV636 ) )
        = $true )
      | ( ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SV636 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3404]) ).

thf(3643,plain,
    ! [SV636: name,SV489: name,SV251: name] :
      ( ( ( ~ ( ~ ( fresh_name_name @ SV251 @ SV489 )
              | ~ ( fresh_name_name @ SV251 @ SV636 ) ) )
        = $true )
      | ( ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SV636 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3405]) ).

thf(3644,plain,
    ! [SV636: name,SV489: name,SV251: name] :
      ( ( ( fresh_name_name @ SV251 @ SV489 )
        = $false )
      | ( ( ~ ( fresh_name_name @ SV251 @ SV636 ) )
        = $true )
      | ( ( ~ ( ~ ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SV636 ) )
              | ~ ~ ( ~ ( fresh_name_name @ SV251 @ SV489 )
                    | ~ ( fresh_name_name @ SV251 @ SV636 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3406]) ).

thf(3645,plain,
    ! [SV252: name,SV701: pi,SV821: pi > $o,SV637: late_freeRes,SV490: pi] :
      ( ( ( ~ ( late_transitions @ SV490 @ ( late_FreeR @ SV637 @ ( sK117_P4 @ SV821 @ SV701 @ SV637 @ SV490 @ SV252 ) ) ) )
        = $false )
      | ( ( SV821 @ SV701 )
        = $true )
      | ( ( late_transitions @ ( res @ SV252 @ SV490 ) @ ( late_FreeR @ SV637 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3407]) ).

thf(3646,plain,
    ! [SV490: pi,SV701: pi,SV821: pi > $o,SV637: late_freeRes,SV252: name] :
      ( ( ( ~ ~ ( ~ ( fresh_1641682979reeRes @ SV252 @ SV637 )
                | ~ ~ ( SV821 @ ( res @ SV252 @ ( sK117_P4 @ SV821 @ SV701 @ SV637 @ SV490 @ SV252 ) ) ) ) )
        = $false )
      | ( ( SV821 @ SV701 )
        = $true )
      | ( ( late_transitions @ ( res @ SV252 @ SV490 ) @ ( late_FreeR @ SV637 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3407]) ).

thf(3647,plain,
    ! [SV253: name,SV638: late_subject,SV771: pi,SV491: pi,SV702: name] :
      ( ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( ! [SY2361: late_subject > pi > $o] :
              ( ~ ( ~ ( late_transitions @ SV491 @ ( late_FreeR @ ( late_OutputR @ ( sK60_B2 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) @ SV253 ) @ ( sK61_SY1044 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
                  | ~ ~ ( ~ ( ( ( sK60_B2 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 )
                             != SV253 ) )
                        | ~ ~ ( ( SV638
                               != ( late_BoundOutputS @ ( sK60_B2 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
                              | ~ ~ ( SY2361 @ ( late_BoundOutputS @ ( sK60_B2 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV702 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) ) )
              | ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
                  | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                        | ~ ~ ( SY2361 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SY2361 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
              | ( SY2361 @ SV638 @ SV771 ) ) )
        = $true )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3408]) ).

thf(3648,plain,
    ! [SV703: pi,SV639: pi,SV495: pi,SV255: pi] :
      ( ( ( ( par @ SV255 @ SV495 )
         != ( par @ SV639 @ SV703 ) )
        = $false )
      | ( ( ( par @ SV255 @ SV495 )
          = ( par @ SV639 @ SV703 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3412]) ).

thf(3649,plain,
    ! [SV703: pi,SV495: pi,SV639: pi,SV255: pi] :
      ( ( ( ~ ~ ( ( SV255 != SV639 )
                | ( SV495 != SV703 ) ) )
        = $false )
      | ( ( ( par @ SV255 @ SV495 )
          = ( par @ SV639 @ SV703 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3412]) ).

thf(3650,plain,
    ! [SV703: pi,SV495: pi,SV639: pi,SV255: pi] :
      ( ( ( SV255 != SV639 )
        = $true )
      | ( ( SV495 != SV703 )
        = $true )
      | ( ( ~ ( ( ( par @ SV255 @ SV495 )
               != ( par @ SV639 @ SV703 ) )
              | ~ ~ ( ( SV255 != SV639 )
                    | ( SV495 != SV703 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3413]) ).

thf(3651,plain,
    ! [SV496: set_Pr1834926343_pi_pi,SV256: pi,SV895: pi,SV825: name,SV704: late_subject,SV640: pi] :
      ( ( ( late_transitions @ SV640 @ ( late_BoundR @ SV704 @ SV825 @ SV895 ) )
        = $false )
      | ( ( ~ ( fresh_name_pi @ SV825 @ SV256 )
          | ~ ( ~ ( late_transitions @ SV256 @ ( late_BoundR @ SV704 @ SV825 @ ( sK92_P4 @ SV895 @ SV825 @ SV704 @ SV640 @ SV496 @ SV256 ) ) )
              | ~ ( strong2129052853vative @ ( sK92_P4 @ SV895 @ SV825 @ SV704 @ SV640 @ SV496 @ SV256 ) @ SV895 @ SV704 @ SV825 @ SV496 ) ) )
        = $true )
      | ( ( strong743114133lation @ SV256 @ SV496 @ SV640 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3414]) ).

thf(3652,plain,
    ! [SV705: pi,SV641: late_freeRes,SV497: pi,SV257: late_freeRes] :
      ( ( ( ( late_FreeR @ SV257 @ SV497 )
         != ( late_FreeR @ SV641 @ SV705 ) )
        = $false )
      | ( ( ( late_FreeR @ SV257 @ SV497 )
          = ( late_FreeR @ SV641 @ SV705 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3415]) ).

thf(3653,plain,
    ! [SV705: pi,SV497: pi,SV641: late_freeRes,SV257: late_freeRes] :
      ( ( ( ~ ~ ( ( SV257 != SV641 )
                | ( SV497 != SV705 ) ) )
        = $false )
      | ( ( ( late_FreeR @ SV257 @ SV497 )
          = ( late_FreeR @ SV641 @ SV705 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3415]) ).

thf(3654,plain,
    ! [SV705: pi,SV497: pi,SV641: late_freeRes,SV257: late_freeRes] :
      ( ( ( SV257 != SV641 )
        = $true )
      | ( ( SV497 != SV705 )
        = $true )
      | ( ( ~ ( ( ( late_FreeR @ SV257 @ SV497 )
               != ( late_FreeR @ SV641 @ SV705 ) )
              | ~ ~ ( ( SV257 != SV641 )
                    | ( SV497 != SV705 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3416]) ).

thf(3655,plain,
    ! [SV258: name,SV498: pi,SV706: pi,SV642: late_freeRes] :
      ( ( ( ( ( late_FreeR @ SV642 @ SV706 )
           != ( late_FreeR @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( res @ ( sK116_SY1113 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK115_SY1111 @ SV706 @ SV642 @ SV498 @ SV258 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK113_P5 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( late_FreeR @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK115_SY1111 @ SV706 @ SV642 @ SV498 @ SV258 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK116_SY1113 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) ) ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV258 @ SV498 ) @ ( late_FreeR @ SV642 @ SV706 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3418]) ).

thf(3656,plain,
    ! [SV259: product_unit > late_residual > $o] :
      ( ( ( SV259 @ ( sK26_SY1001 @ SV259 ) @ ( late_FreeR @ ( sK24_FreeRes2 @ SV259 ) @ ( sK25_SY999 @ SV259 ) ) )
        = $false )
      | ( ( ! [SY1707: product_unit,SY1708: late_residual] : ( SV259 @ SY1707 @ SY1708 ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK28_SY1002 @ SV259 ) @ ( sK27_Subject2 @ SV259 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3420]) ).

thf(3657,plain,
    ! [SV259: product_unit > late_residual > $o] :
      ( ( ( ~ ( SV259 @ ( sK26_SY1001 @ SV259 ) @ ( late_FreeR @ ( sK24_FreeRes2 @ SV259 ) @ ( sK25_SY999 @ SV259 ) ) ) )
        = $true )
      | ( ( ! [SY1707: product_unit,SY1708: late_residual] : ( SV259 @ SY1707 @ SY1708 ) )
        = $true )
      | ( ( SV259 @ ( sK30_SY1007 @ SV259 ) @ ( late_BoundR @ ( sK27_Subject2 @ SV259 ) @ ( sK28_SY1002 @ SV259 ) @ ( sK29_SY1005 @ SV259 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3421]) ).

thf(3658,plain,
    ! [SV260: pi > late_residual > $o] :
      ( ( ( SV260 @ ( sK5_SY974 @ SV260 ) @ ( late_FreeR @ ( sK3_FreeRes2 @ SV260 ) @ ( sK4_SY972 @ SV260 ) ) )
        = $false )
      | ( ( ! [SY1709: pi,SY1710: late_residual] : ( SV260 @ SY1709 @ SY1710 ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK7_SY975 @ SV260 ) @ ( sK6_Subject2 @ SV260 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3423]) ).

thf(3659,plain,
    ! [SV260: pi > late_residual > $o] :
      ( ( ( ~ ( SV260 @ ( sK5_SY974 @ SV260 ) @ ( late_FreeR @ ( sK3_FreeRes2 @ SV260 ) @ ( sK4_SY972 @ SV260 ) ) ) )
        = $true )
      | ( ( ! [SY1709: pi,SY1710: late_residual] : ( SV260 @ SY1709 @ SY1710 ) )
        = $true )
      | ( ( SV260 @ ( sK9_SY980 @ SV260 ) @ ( late_BoundR @ ( sK6_Subject2 @ SV260 ) @ ( sK7_SY975 @ SV260 ) @ ( sK8_SY978 @ SV260 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3424]) ).

thf(3660,plain,
    ! [SV261: name,SV899: name,SV974: name] :
      ( ( ( ( SV974 != SV899 )
          | ( ( swap_name2 @ ( produc1570949143e_name @ SV261 @ SV974 ) @ SV899 )
            = SV261 ) )
        = $true )
      | ( ( SV261 = SV899 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3425]) ).

thf(3661,plain,
    ! [SV261: name,SV900: name,SV975: name] :
      ( ( ( ( SV975 = SV900 )
          | ( ( swap_name2 @ ( produc1570949143e_name @ SV261 @ SV975 ) @ SV900 )
            = SV900 ) )
        = $true )
      | ( ( SV261 = SV900 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3426]) ).

thf(3662,plain,
    ! [SV707: name,SV643: name,SV503: name,SV264: name] :
      ( ( ( ( late_OutputR @ SV264 @ SV503 )
         != ( late_OutputR @ SV643 @ SV707 ) )
        = $false )
      | ( ( ( late_OutputR @ SV264 @ SV503 )
          = ( late_OutputR @ SV643 @ SV707 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3433]) ).

thf(3663,plain,
    ! [SV707: name,SV503: name,SV643: name,SV264: name] :
      ( ( ( ~ ~ ( ( SV264 != SV643 )
                | ( SV503 != SV707 ) ) )
        = $false )
      | ( ( ( late_OutputR @ SV264 @ SV503 )
          = ( late_OutputR @ SV643 @ SV707 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3433]) ).

thf(3664,plain,
    ! [SV707: name,SV503: name,SV643: name,SV264: name] :
      ( ( ( SV264 != SV643 )
        = $true )
      | ( ( SV503 != SV707 )
        = $true )
      | ( ( ~ ( ( ( late_OutputR @ SV264 @ SV503 )
               != ( late_OutputR @ SV643 @ SV707 ) )
              | ~ ~ ( ( SV264 != SV643 )
                    | ( SV503 != SV707 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3434]) ).

thf(3665,plain,
    ! [SV265: name > late_residual > $o] :
      ( ( ( SV265 @ ( sK40_SY1019 @ SV265 ) @ ( late_FreeR @ ( sK38_FreeRes2 @ SV265 ) @ ( sK39_SY1017 @ SV265 ) ) )
        = $false )
      | ( ( ! [SY1730: name,SY1731: late_residual] : ( SV265 @ SY1730 @ SY1731 ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK42_SY1020 @ SV265 ) @ ( sK41_Subject2 @ SV265 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3436]) ).

thf(3666,plain,
    ! [SV265: name > late_residual > $o] :
      ( ( ( ~ ( SV265 @ ( sK40_SY1019 @ SV265 ) @ ( late_FreeR @ ( sK38_FreeRes2 @ SV265 ) @ ( sK39_SY1017 @ SV265 ) ) ) )
        = $true )
      | ( ( ! [SY1730: name,SY1731: late_residual] : ( SV265 @ SY1730 @ SY1731 ) )
        = $true )
      | ( ( SV265 @ ( sK44_SY1025 @ SV265 ) @ ( late_BoundR @ ( sK41_Subject2 @ SV265 ) @ ( sK42_SY1020 @ SV265 ) @ ( sK43_SY1023 @ SV265 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3437]) ).

thf(3667,plain,
    ! [SV659: pi,SV793: name,SV353: late_subject,SV98: pi,SV541: name] :
      ( ( ( ~ ( fresh_name_pi @ SV541 @ SV98 ) )
        = $true )
      | ( ( ~ ( fresh_717452603ubject @ SV541 @ SV353 )
          | ( late_transitions @ ( res @ SV793 @ SV98 ) @ ( late_BoundR @ SV353 @ SV541 @ ( res @ SV793 @ SV659 ) ) ) )
        = $true )
      | ( ( SV793 = SV541 )
        = $true )
      | ( ( fresh_717452603ubject @ SV793 @ SV353 )
        = $false )
      | ( ( late_transitions @ SV98 @ ( late_BoundR @ SV353 @ SV541 @ SV659 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3451]) ).

thf(3668,plain,
    ! [SV660: pi,SV99: pi,SV354: late_subject,SV924: pi,SV542: name] :
      ( ( ( fresh_name_pi @ SV542 @ SV924 )
        = $false )
      | ( ( ~ ( fresh_717452603ubject @ SV542 @ SV354 )
          | ( late_transitions @ ( par @ SV99 @ SV924 ) @ ( late_BoundR @ SV354 @ SV542 @ ( par @ SV660 @ SV924 ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV542 @ SV99 )
        = $false )
      | ( ( late_transitions @ SV99 @ ( late_BoundR @ SV354 @ SV542 @ SV660 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3452]) ).

thf(3669,plain,
    ! [SV661: pi,SV794: pi,SV355: late_subject,SV100: pi,SV543: name] :
      ( ( ( fresh_name_pi @ SV543 @ SV100 )
        = $false )
      | ( ( ~ ( fresh_717452603ubject @ SV543 @ SV355 )
          | ( late_transitions @ ( par @ SV794 @ SV100 ) @ ( late_BoundR @ SV355 @ SV543 @ ( par @ SV794 @ SV661 ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV543 @ SV794 )
        = $false )
      | ( ( late_transitions @ SV100 @ ( late_BoundR @ SV355 @ SV543 @ SV661 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3453]) ).

thf(3670,plain,
    ! [SV135: $o] :
      ( ( ( ~ ( SV135
              | $false ) )
        = $true )
      | ( ( ~ ( ~ SV135
              | ~ $false ) )
        = $true )
      | ( SV135 = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3456]) ).

thf(3671,plain,
    ! [SV135: $o] :
      ( ( ( ~ ( SV135
              | $false ) )
        = $true )
      | ( ( ~ ( ~ SV135
              | ~ $false ) )
        = $true )
      | ( SV135 = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3458]) ).

thf(3672,plain,
    ! [SV135: $o] :
      ( ( ( ~ ( SV135
              | $false ) )
        = $true )
      | ( ( ~ ( ~ SV135
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3460]) ).

thf(3673,plain,
    ! [SV135: $o] :
      ( ( ( ~ ( SV135
              | $false ) )
        = $true )
      | ( ( ~ ( ~ SV135
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3462]) ).

thf(3674,plain,
    ( ( ( ~ ( $true
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3468]) ).

thf(3675,plain,
    ( ( ( ~ ( $true
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3470]) ).

thf(3676,plain,
    ( ( ( ~ ( $true
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3472]) ).

thf(3677,plain,
    ( ( ( ~ ( $true
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3474]) ).

thf(3678,plain,
    ( ( ( ~ ( $false
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3480]) ).

thf(3679,plain,
    ( ( ( ~ ( $false
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3482]) ).

thf(3680,plain,
    ( ( ( ~ ( $false
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3484]) ).

thf(3681,plain,
    ( ( ( ~ ( $false
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3486]) ).

thf(3682,plain,
    ! [SV680: pi,SV609: name,SV190: pi,SV925: pi,SV834: name,SV436: name,SV754: pi] :
      ( ( ( late_transitions @ SV754 @ ( late_BoundR @ ( late_InputS @ SV436 ) @ SV834 @ SV925 ) )
        = $false )
      | ( ( ~ ( fresh_name_pi @ SV834 @ SV190 )
          | ~ ( fresh_name_pi @ SV834 @ SV754 )
          | ~ ( fresh_name_pi @ SV609 @ SV190 )
          | ~ ( fresh_name_pi @ SV609 @ SV754 )
          | ( SV834 = SV436 )
          | ~ ( fresh_name_pi @ SV834 @ SV680 )
          | ( SV609 = SV436 )
          | ~ ( fresh_name_pi @ SV609 @ SV925 )
          | ( SV834 = SV609 )
          | ( late_transitions @ ( par @ SV190 @ SV754 ) @ ( late_FreeR @ late_TauR @ ( res @ SV609 @ ( par @ SV680 @ ( subs @ SV925 @ SV834 @ SV609 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV190 @ ( late_BoundR @ ( late_BoundOutputS @ SV436 ) @ SV609 @ SV680 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3584]) ).

thf(3683,plain,
    ! [SV681: pi,SV191: pi,SV610: name,SV926: pi,SV835: name,SV437: name,SV755: pi] :
      ( ( ( late_transitions @ SV755 @ ( late_BoundR @ ( late_BoundOutputS @ SV437 ) @ SV835 @ SV926 ) )
        = $false )
      | ( ( ~ ( fresh_name_pi @ SV610 @ SV191 )
          | ~ ( fresh_name_pi @ SV610 @ SV755 )
          | ~ ( fresh_name_pi @ SV835 @ SV191 )
          | ~ ( fresh_name_pi @ SV835 @ SV755 )
          | ( SV610 = SV437 )
          | ~ ( fresh_name_pi @ SV610 @ SV926 )
          | ( SV835 = SV437 )
          | ~ ( fresh_name_pi @ SV835 @ SV681 )
          | ( SV610 = SV835 )
          | ( late_transitions @ ( par @ SV191 @ SV755 ) @ ( late_FreeR @ late_TauR @ ( res @ SV835 @ ( par @ ( subs @ SV681 @ SV610 @ SV835 ) @ SV926 ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV191 @ ( late_BoundR @ ( late_InputS @ SV437 ) @ SV610 @ SV681 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3585]) ).

thf(3684,plain,
    ! [SV682: pi,SV192: pi,SV611: name,SV927: pi,SV836: name,SV438: name,SV756: pi] :
      ( ( ( late_transitions @ SV756 @ ( late_BoundR @ ( late_InputS @ SV438 ) @ SV836 @ SV927 ) )
        = $false )
      | ( ( ~ ( fresh_name_pi @ SV611 @ SV756 )
          | ( late_transitions @ ( par @ SV192 @ SV756 ) @ ( late_FreeR @ late_TauR @ ( res @ SV611 @ ( par @ SV682 @ ( subs @ SV927 @ SV836 @ SV611 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV192 @ ( late_BoundR @ ( late_BoundOutputS @ SV438 ) @ SV611 @ SV682 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3586]) ).

thf(3685,plain,
    ! [SV612: name,SV683: pi,SV193: pi,SV928: pi,SV837: name,SV439: name,SV757: pi] :
      ( ( ( late_transitions @ SV757 @ ( late_BoundR @ ( late_BoundOutputS @ SV439 ) @ SV837 @ SV928 ) )
        = $false )
      | ( ( ~ ( fresh_name_pi @ SV837 @ SV193 )
          | ( late_transitions @ ( par @ SV193 @ SV757 ) @ ( late_FreeR @ late_TauR @ ( res @ SV837 @ ( par @ ( subs @ SV683 @ SV612 @ SV837 ) @ SV928 ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV193 @ ( late_BoundR @ ( late_InputS @ SV439 ) @ SV612 @ SV683 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3587]) ).

thf(3686,plain,
    ! [SV684: pi,SV613: name,SV194: pi,SV929: pi,SV838: name,SV440: name,SV758: pi] :
      ( ( ( late_transitions @ SV758 @ ( late_BoundR @ ( late_InputS @ SV440 ) @ SV838 @ SV929 ) )
        = $false )
      | ( ( ~ ( fresh_name_pi @ SV838 @ SV194 )
          | ~ ( fresh_name_pi @ SV838 @ SV758 )
          | ( SV838 = SV440 )
          | ( SV838 = SV613 )
          | ~ ( fresh_name_pi @ SV838 @ SV684 )
          | ( late_transitions @ ( par @ SV194 @ SV758 ) @ ( late_FreeR @ late_TauR @ ( par @ SV684 @ ( subs @ SV929 @ SV838 @ SV613 ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV194 @ ( late_FreeR @ ( late_OutputR @ SV440 @ SV613 ) @ SV684 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3588]) ).

thf(3687,plain,
    ! [SV685: pi,SV195: pi,SV614: name,SV930: pi,SV839: name,SV441: name,SV759: pi] :
      ( ( ( late_transitions @ SV759 @ ( late_FreeR @ ( late_OutputR @ SV441 @ SV839 ) @ SV930 ) )
        = $false )
      | ( ( ~ ( fresh_name_pi @ SV614 @ SV195 )
          | ~ ( fresh_name_pi @ SV614 @ SV759 )
          | ( SV614 = SV441 )
          | ( SV614 = SV839 )
          | ~ ( fresh_name_pi @ SV614 @ SV930 )
          | ( late_transitions @ ( par @ SV195 @ SV759 ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ SV685 @ SV614 @ SV839 ) @ SV930 ) ) ) )
        = $true )
      | ( ( late_transitions @ SV195 @ ( late_BoundR @ ( late_InputS @ SV441 ) @ SV614 @ SV685 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3589]) ).

thf(3688,plain,
    ! [SV615: name,SV686: pi,SV196: pi,SV931: pi,SV840: name,SV442: name,SV760: pi] :
      ( ( ( late_transitions @ SV760 @ ( late_BoundR @ ( late_InputS @ SV442 ) @ SV840 @ SV931 ) )
        = $false )
      | ( ( late_transitions @ ( par @ SV196 @ SV760 ) @ ( late_FreeR @ late_TauR @ ( par @ SV686 @ ( subs @ SV931 @ SV840 @ SV615 ) ) ) )
        = $true )
      | ( ( late_transitions @ SV196 @ ( late_FreeR @ ( late_OutputR @ SV442 @ SV615 ) @ SV686 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3590]) ).

thf(3689,plain,
    ! [SV616: name,SV687: pi,SV197: pi,SV932: pi,SV841: name,SV443: name,SV761: pi] :
      ( ( ( late_transitions @ SV761 @ ( late_FreeR @ ( late_OutputR @ SV443 @ SV841 ) @ SV932 ) )
        = $false )
      | ( ( late_transitions @ ( par @ SV197 @ SV761 ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ SV687 @ SV616 @ SV841 ) @ SV932 ) ) )
        = $true )
      | ( ( late_transitions @ SV197 @ ( late_BoundR @ ( late_InputS @ SV443 ) @ SV616 @ SV687 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3591]) ).

thf(3690,plain,
    ! [SV691: name,SV453: name] :
      ( ( ( fresh_name_name @ SV453 @ SV691 )
        = $true )
      | ( ( fresh_name_name @ SV453 @ SV691 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3597]) ).

thf(3691,plain,
    ! [SV691: name,SV453: name] :
      ( ( ( SV453 != SV691 )
        = $true )
      | ( ( fresh_name_name @ SV453 @ SV691 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3598]) ).

thf(3692,plain,
    ! [SV691: name,SV453: name] :
      ( ( ( ~ ( fresh_name_name @ SV453 @ SV691 ) )
        = $false )
      | ( ( SV453 = SV691 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3599]) ).

thf(3693,plain,
    ! [SV691: name,SV453: name] :
      ( ( ( ~ ( ( SV453 != SV691 ) ) )
        = $false )
      | ( ( SV453 = SV691 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3599]) ).

thf(3694,plain,
    ! [SV976: pi,SV228: pi > late_residual > $o] :
      ( ( ( ! [SY2445: late_residual] : ( SV228 @ SV976 @ SY2445 ) )
        = $true )
      | ( ( SV228 @ ( sK33_SY1010 @ SV228 ) @ ( late_FreeR @ ( sK31_FreeRes2 @ SV228 ) @ ( sK32_SY1008 @ SV228 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK35_SY1011 @ SV228 ) @ ( sK34_Subject2 @ SV228 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3604]) ).

thf(3695,plain,
    ! [SV228: pi > late_residual > $o] :
      ( ( ( SV228 @ ( sK33_SY1010 @ SV228 ) @ ( late_FreeR @ ( sK31_FreeRes2 @ SV228 ) @ ( sK32_SY1008 @ SV228 ) ) )
        = $false )
      | ( ( ! [SY1593: pi,SY1594: late_residual] : ( SV228 @ SY1593 @ SY1594 ) )
        = $true )
      | ( ( SV228 @ ( sK37_SY1016 @ SV228 ) @ ( late_BoundR @ ( sK34_Subject2 @ SV228 ) @ ( sK35_SY1011 @ SV228 ) @ ( sK36_SY1014 @ SV228 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3605]) ).

thf(3696,plain,
    ! [SV625: late_subject,SV695: name,SV767: pi,SV465: pi,SV229: pi] :
      ( ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( ~ ( ( ( par @ SV229 @ SV465 )
               != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                     != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3606]) ).

thf(3697,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
               != ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                    | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( par @ SV229 @ SV465 )
               != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                     != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3607]) ).

thf(3698,plain,
    ! [SV768: pi,SV626: late_subject,SV230: pi,SV466: pi,SV696: name] :
      ( ( ( fresh_name_pi @ SV696 @ SV466 )
        = $false )
      | ( ( ! [SY2354: pi > $o] :
              ( ~ ( ~ ( late_transitions @ SV230 @ ( late_BoundR @ SV626 @ SV696 @ ( sK95_P4 @ SY2354 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
                  | ~ ~ ( SY2354 @ ( par @ ( sK95_P4 @ SY2354 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) @ SV466 ) ) )
              | ~ ( ~ ( late_transitions @ SV466 @ ( late_BoundR @ SV626 @ SV696 @ ( sK94_Q4 @ SY2354 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
                  | ~ ~ ( SY2354 @ ( par @ SV230 @ ( sK94_Q4 @ SY2354 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) ) )
              | ( SY2354 @ SV768 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV696 @ SV230 )
        = $false )
      | ( ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SV626 @ SV696 @ SV768 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3608]) ).

thf(3699,plain,
    ! [SV977: produc1141751126_pi_pi,SV231: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( ! [SY2446: late_residual] : ( SV231 @ SV977 @ SY2446 ) )
        = $true )
      | ( ( SV231 @ ( sK19_SY992 @ SV231 ) @ ( late_FreeR @ ( sK17_FreeRes2 @ SV231 ) @ ( sK18_SY990 @ SV231 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK21_SY993 @ SV231 ) @ ( sK20_Subject2 @ SV231 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3609]) ).

thf(3700,plain,
    ! [SV231: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( SV231 @ ( sK19_SY992 @ SV231 ) @ ( late_FreeR @ ( sK17_FreeRes2 @ SV231 ) @ ( sK18_SY990 @ SV231 ) ) )
        = $false )
      | ( ( ! [SY1604: produc1141751126_pi_pi,SY1605: late_residual] : ( SV231 @ SY1604 @ SY1605 ) )
        = $true )
      | ( ( SV231 @ ( sK23_SY998 @ SV231 ) @ ( late_BoundR @ ( sK20_Subject2 @ SV231 ) @ ( sK21_SY993 @ SV231 ) @ ( sK22_SY996 @ SV231 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3610]) ).

thf(3701,plain,
    ! [SV627: late_subject,SV697: name,SV769: pi,SV467: pi,SV232: name] :
      ( ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV232 @ SV467 )
               != ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                     != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                           != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3611]) ).

thf(3702,plain,
    ! [SV232: name,SV467: pi,SV769: pi,SV697: name,SV627: late_subject] :
      ( ( ( ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
               != ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                    | ~ ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                         != ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV232 @ SV467 )
               != ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                     != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                           != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3612]) ).

thf(3703,plain,
    ! [SV628: pi,SV471: late_freeRes,SV234: name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ SV234 @ SV471 )
          | ~ ( fresh_name_pi @ SV234 @ SV628 ) )
        = $false )
      | ( ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SV628 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3614]) ).

thf(3704,plain,
    ! [SV471: late_freeRes,SV628: pi,SV234: name] :
      ( ( ( fresh_name_pi @ SV234 @ SV628 )
        = $false )
      | ( ( fresh_1641682979reeRes @ SV234 @ SV471 )
        = $false )
      | ( ( ~ ( ~ ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SV628 ) )
              | ~ ~ ( ~ ( fresh_1641682979reeRes @ SV234 @ SV471 )
                    | ~ ( fresh_name_pi @ SV234 @ SV628 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3615]) ).

thf(3705,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                            | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                       != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                  | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                        | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3616]) ).

thf(3706,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                           != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
          | ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3617]) ).

thf(3707,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
                     != ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                           != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
          | ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3617]) ).

thf(3708,plain,
    ! [SV630: name,SV477: name,SV238: name] :
      ( ( ( ~ ( fresh_name_name @ SV238 @ SV477 )
          | ~ ( fresh_name_name @ SV238 @ SV630 ) )
        = $false )
      | ( ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SV630 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3619]) ).

thf(3709,plain,
    ! [SV477: name,SV630: name,SV238: name] :
      ( ( ( fresh_name_name @ SV238 @ SV630 )
        = $false )
      | ( ( fresh_name_name @ SV238 @ SV477 )
        = $false )
      | ( ( ~ ( ~ ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SV630 ) )
              | ~ ~ ( ~ ( fresh_name_name @ SV238 @ SV477 )
                    | ~ ( fresh_name_name @ SV238 @ SV630 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3620]) ).

thf(3710,plain,
    ! [SV698: list_P227219501e_name,SV631: produc367475239e_name,SV479: list_P227219501e_name,SV240: produc367475239e_name] :
      ( ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
          = ( cons_P1213805021e_name @ SV631 @ SV698 ) )
        = $true )
      | ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
          = ( cons_P1213805021e_name @ SV631 @ SV698 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3621]) ).

thf(3711,plain,
    ! [SV698: list_P227219501e_name,SV479: list_P227219501e_name,SV631: produc367475239e_name,SV240: produc367475239e_name] :
      ( ( ( ~ ( ( SV240 != SV631 )
              | ( SV479 != SV698 ) ) )
        = $true )
      | ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
          = ( cons_P1213805021e_name @ SV631 @ SV698 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3622]) ).

thf(3712,plain,
    ! [SV698: list_P227219501e_name,SV479: list_P227219501e_name,SV631: produc367475239e_name,SV240: produc367475239e_name] :
      ( ( ( SV240 = SV631 )
        = $false )
      | ( ( SV479 != SV698 )
        = $true )
      | ( ( ~ ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
               != ( cons_P1213805021e_name @ SV631 @ SV698 ) )
              | ~ ~ ( ( SV240 != SV631 )
                    | ( SV479 != SV698 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3623]) ).

thf(3713,plain,
    ! [SV978: produc1141751126_pi_pi,SV241: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( ! [SY2447: late_residual] : ( SV241 @ SV978 @ SY2447 ) )
        = $true )
      | ( ( SV241 @ ( sK47_SY1028 @ SV241 ) @ ( late_FreeR @ ( sK45_FreeRes2 @ SV241 ) @ ( sK46_SY1026 @ SV241 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK49_SY1029 @ SV241 ) @ ( sK48_Subject2 @ SV241 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3624]) ).

thf(3714,plain,
    ! [SV241: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( SV241 @ ( sK47_SY1028 @ SV241 ) @ ( late_FreeR @ ( sK45_FreeRes2 @ SV241 ) @ ( sK46_SY1026 @ SV241 ) ) )
        = $false )
      | ( ( ! [SY1639: produc1141751126_pi_pi,SY1640: late_residual] : ( SV241 @ SY1639 @ SY1640 ) )
        = $true )
      | ( ( SV241 @ ( sK51_SY1034 @ SV241 ) @ ( late_BoundR @ ( sK48_Subject2 @ SV241 ) @ ( sK49_SY1029 @ SV241 ) @ ( sK50_SY1032 @ SV241 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3625]) ).

thf(3715,plain,
    ! [SV632: pi,SV480: pi,SV242: name] :
      ( ( ( ~ ( fresh_name_pi @ SV242 @ SV480 )
          | ~ ( fresh_name_pi @ SV242 @ SV632 ) )
        = $false )
      | ( ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SV632 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3627]) ).

thf(3716,plain,
    ! [SV480: pi,SV632: pi,SV242: name] :
      ( ( ( fresh_name_pi @ SV242 @ SV632 )
        = $false )
      | ( ( fresh_name_pi @ SV242 @ SV480 )
        = $false )
      | ( ( ~ ( ~ ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SV632 ) )
              | ~ ~ ( ~ ( fresh_name_pi @ SV242 @ SV480 )
                    | ~ ( fresh_name_pi @ SV242 @ SV632 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3628]) ).

thf(3717,plain,
    ! [SV699: name,SV633: name,SV481: name,SV243: name] :
      ( ( ( ( late_OutputR @ SV243 @ SV481 )
          = ( late_OutputR @ SV633 @ SV699 ) )
        = $true )
      | ( ( ( late_OutputR @ SV243 @ SV481 )
          = ( late_OutputR @ SV633 @ SV699 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3629]) ).

thf(3718,plain,
    ! [SV699: name,SV481: name,SV633: name,SV243: name] :
      ( ( ( ~ ( ( SV243 != SV633 )
              | ( SV481 != SV699 ) ) )
        = $true )
      | ( ( ( late_OutputR @ SV243 @ SV481 )
          = ( late_OutputR @ SV633 @ SV699 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3630]) ).

thf(3719,plain,
    ! [SV699: name,SV481: name,SV633: name,SV243: name] :
      ( ( ( SV243 = SV633 )
        = $false )
      | ( ( SV481 != SV699 )
        = $true )
      | ( ( ~ ( ( ( late_OutputR @ SV243 @ SV481 )
               != ( late_OutputR @ SV633 @ SV699 ) )
              | ~ ~ ( ( SV243 != SV633 )
                    | ( SV481 != SV699 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3631]) ).

thf(3720,plain,
    ! [SV979: product_unit,SV244: product_unit > late_residual > $o] :
      ( ( ( ! [SY2448: late_residual] : ( SV244 @ SV979 @ SY2448 ) )
        = $true )
      | ( ( SV244 @ ( sK54_SY1037 @ SV244 ) @ ( late_FreeR @ ( sK52_FreeRes2 @ SV244 ) @ ( sK53_SY1035 @ SV244 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK56_SY1038 @ SV244 ) @ ( sK55_Subject2 @ SV244 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3632]) ).

thf(3721,plain,
    ! [SV244: product_unit > late_residual > $o] :
      ( ( ( SV244 @ ( sK54_SY1037 @ SV244 ) @ ( late_FreeR @ ( sK52_FreeRes2 @ SV244 ) @ ( sK53_SY1035 @ SV244 ) ) )
        = $false )
      | ( ( ! [SY1646: product_unit,SY1647: late_residual] : ( SV244 @ SY1646 @ SY1647 ) )
        = $true )
      | ( ( SV244 @ ( sK58_SY1043 @ SV244 ) @ ( late_BoundR @ ( sK55_Subject2 @ SV244 ) @ ( sK56_SY1038 @ SV244 ) @ ( sK57_SY1041 @ SV244 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3633]) ).

thf(3722,plain,
    ! [SV980: name,SV245: name > late_residual > $o] :
      ( ( ( ! [SY2449: late_residual] : ( SV245 @ SV980 @ SY2449 ) )
        = $true )
      | ( ( SV245 @ ( sK12_SY983 @ SV245 ) @ ( late_FreeR @ ( sK10_FreeRes2 @ SV245 ) @ ( sK11_SY981 @ SV245 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK14_SY984 @ SV245 ) @ ( sK13_Subject2 @ SV245 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3634]) ).

thf(3723,plain,
    ! [SV245: name > late_residual > $o] :
      ( ( ( SV245 @ ( sK12_SY983 @ SV245 ) @ ( late_FreeR @ ( sK10_FreeRes2 @ SV245 ) @ ( sK11_SY981 @ SV245 ) ) )
        = $false )
      | ( ( ! [SY1648: name,SY1649: late_residual] : ( SV245 @ SY1648 @ SY1649 ) )
        = $true )
      | ( ( SV245 @ ( sK16_SY989 @ SV245 ) @ ( late_BoundR @ ( sK13_Subject2 @ SV245 ) @ ( sK14_SY984 @ SV245 ) @ ( sK15_SY987 @ SV245 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3635]) ).

thf(3724,plain,
    ! [SV482: pi,SV634: list_pi,SV246: name] :
      ( ( ( ~ ( fresh_name_list_pi @ SV246 @ SV634 )
          | ~ ( fresh_name_pi @ SV246 @ SV482 ) )
        = $false )
      | ( ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SV634 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3637]) ).

thf(3725,plain,
    ! [SV634: list_pi,SV482: pi,SV246: name] :
      ( ( ( fresh_name_pi @ SV246 @ SV482 )
        = $false )
      | ( ( fresh_name_list_pi @ SV246 @ SV634 )
        = $false )
      | ( ( ~ ( ~ ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SV634 ) )
              | ~ ~ ( ~ ( fresh_name_list_pi @ SV246 @ SV634 )
                    | ~ ( fresh_name_pi @ SV246 @ SV482 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3638]) ).

thf(3726,plain,
    ! [SV959: pi,SV770: name,SV700: late_subject,SV635: pi,SV488: name,SV250: name] :
      ( ( ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SV959 ) )
        = $false )
      | ( ( ( SV770 = SV250 )
          | ( SV770 = SV488 )
          | ~ ( fresh_name_pi @ SV770 @ SV635 )
          | ( SV700
            = ( late_InputS @ SV250 ) )
          | ! [SY2444: late_subject > name > pi > $o] : ( SY2444 @ SV700 @ SV770 @ SV959 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3639]) ).

thf(3727,plain,
    ! [SV770: name,SV700: late_subject,SV635: pi,SV488: name,SV250: name] :
      ( ( ! [SY2357: pi] :
            ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SY2357 ) )
            | ( SV770 = SV250 )
            | ( SV770 = SV488 )
            | ~ ( fresh_name_pi @ SV770 @ SV635 )
            | ( SY2357
              = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
            | ! [SY2358: late_subject > name > pi > $o] : ( SY2358 @ SV700 @ SV770 @ SY2357 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3640]) ).

thf(3728,plain,
    ! [SV770: name,SV700: late_subject,SV635: pi,SV488: name,SV250: name] :
      ( ( ! [SY2359: pi] :
            ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SY2359 ) )
            | ( SV770 = SV250 )
            | ( SV770 = SV488 )
            | ~ ( fresh_name_pi @ SV770 @ SV635 )
            | ! [SY2360: late_subject > name > pi > $o] :
                ( ~ ( SY2360 @ ( late_InputS @ SV250 ) @ SV770 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
                | ( SY2360 @ SV700 @ SV770 @ SY2359 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3641]) ).

thf(3729,plain,
    ! [SV636: name,SV489: name,SV251: name] :
      ( ( ( ~ ( fresh_name_name @ SV251 @ SV489 )
          | ~ ( fresh_name_name @ SV251 @ SV636 ) )
        = $false )
      | ( ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SV636 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3643]) ).

thf(3730,plain,
    ! [SV489: name,SV636: name,SV251: name] :
      ( ( ( fresh_name_name @ SV251 @ SV636 )
        = $false )
      | ( ( fresh_name_name @ SV251 @ SV489 )
        = $false )
      | ( ( ~ ( ~ ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SV636 ) )
              | ~ ~ ( ~ ( fresh_name_name @ SV251 @ SV489 )
                    | ~ ( fresh_name_name @ SV251 @ SV636 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3644]) ).

thf(3731,plain,
    ! [SV252: name,SV701: pi,SV821: pi > $o,SV637: late_freeRes,SV490: pi] :
      ( ( ( late_transitions @ SV490 @ ( late_FreeR @ SV637 @ ( sK117_P4 @ SV821 @ SV701 @ SV637 @ SV490 @ SV252 ) ) )
        = $true )
      | ( ( SV821 @ SV701 )
        = $true )
      | ( ( late_transitions @ ( res @ SV252 @ SV490 ) @ ( late_FreeR @ SV637 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3645]) ).

thf(3732,plain,
    ! [SV490: pi,SV701: pi,SV821: pi > $o,SV637: late_freeRes,SV252: name] :
      ( ( ( ~ ( ~ ( fresh_1641682979reeRes @ SV252 @ SV637 )
              | ~ ~ ( SV821 @ ( res @ SV252 @ ( sK117_P4 @ SV821 @ SV701 @ SV637 @ SV490 @ SV252 ) ) ) ) )
        = $true )
      | ( ( SV821 @ SV701 )
        = $true )
      | ( ( late_transitions @ ( res @ SV252 @ SV490 ) @ ( late_FreeR @ SV637 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3646]) ).

thf(3733,plain,
    ! [SV253: name,SV638: late_subject,SV702: name,SV771: pi,SV981: late_subject > pi > $o,SV491: pi] :
      ( ( ( ~ ( ~ ( late_transitions @ SV491 @ ( late_FreeR @ ( late_OutputR @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) @ SV253 ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
              | ~ ~ ( ~ ( ( ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 )
                         != SV253 ) )
                    | ~ ~ ( ( SV638
                           != ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
                          | ~ ~ ( SV981 @ ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV702 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) ) )
          | ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                    | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
          | ( SV981 @ SV638 @ SV771 ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3647]) ).

thf(3734,plain,
    ! [SV703: pi,SV639: pi,SV495: pi,SV255: pi] :
      ( ( ( ( par @ SV255 @ SV495 )
          = ( par @ SV639 @ SV703 ) )
        = $true )
      | ( ( ( par @ SV255 @ SV495 )
          = ( par @ SV639 @ SV703 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3648]) ).

thf(3735,plain,
    ! [SV703: pi,SV495: pi,SV639: pi,SV255: pi] :
      ( ( ( ~ ( ( SV255 != SV639 )
              | ( SV495 != SV703 ) ) )
        = $true )
      | ( ( ( par @ SV255 @ SV495 )
          = ( par @ SV639 @ SV703 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3649]) ).

thf(3736,plain,
    ! [SV703: pi,SV495: pi,SV639: pi,SV255: pi] :
      ( ( ( SV255 = SV639 )
        = $false )
      | ( ( SV495 != SV703 )
        = $true )
      | ( ( ~ ( ( ( par @ SV255 @ SV495 )
               != ( par @ SV639 @ SV703 ) )
              | ~ ~ ( ( SV255 != SV639 )
                    | ( SV495 != SV703 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3650]) ).

thf(3737,plain,
    ! [SV496: set_Pr1834926343_pi_pi,SV640: pi,SV895: pi,SV704: late_subject,SV256: pi,SV825: name] :
      ( ( ( ~ ( fresh_name_pi @ SV825 @ SV256 ) )
        = $true )
      | ( ( ~ ( ~ ( late_transitions @ SV256 @ ( late_BoundR @ SV704 @ SV825 @ ( sK92_P4 @ SV895 @ SV825 @ SV704 @ SV640 @ SV496 @ SV256 ) ) )
              | ~ ( strong2129052853vative @ ( sK92_P4 @ SV895 @ SV825 @ SV704 @ SV640 @ SV496 @ SV256 ) @ SV895 @ SV704 @ SV825 @ SV496 ) ) )
        = $true )
      | ( ( late_transitions @ SV640 @ ( late_BoundR @ SV704 @ SV825 @ SV895 ) )
        = $false )
      | ( ( strong743114133lation @ SV256 @ SV496 @ SV640 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3651]) ).

thf(3738,plain,
    ! [SV705: pi,SV641: late_freeRes,SV497: pi,SV257: late_freeRes] :
      ( ( ( ( late_FreeR @ SV257 @ SV497 )
          = ( late_FreeR @ SV641 @ SV705 ) )
        = $true )
      | ( ( ( late_FreeR @ SV257 @ SV497 )
          = ( late_FreeR @ SV641 @ SV705 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3652]) ).

thf(3739,plain,
    ! [SV705: pi,SV497: pi,SV641: late_freeRes,SV257: late_freeRes] :
      ( ( ( ~ ( ( SV257 != SV641 )
              | ( SV497 != SV705 ) ) )
        = $true )
      | ( ( ( late_FreeR @ SV257 @ SV497 )
          = ( late_FreeR @ SV641 @ SV705 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3653]) ).

thf(3740,plain,
    ! [SV705: pi,SV497: pi,SV641: late_freeRes,SV257: late_freeRes] :
      ( ( ( SV257 = SV641 )
        = $false )
      | ( ( SV497 != SV705 )
        = $true )
      | ( ( ~ ( ( ( late_FreeR @ SV257 @ SV497 )
               != ( late_FreeR @ SV641 @ SV705 ) )
              | ~ ~ ( ( SV257 != SV641 )
                    | ( SV497 != SV705 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3654]) ).

thf(3741,plain,
    ! [SV258: name,SV498: pi,SV706: pi,SV642: late_freeRes] :
      ( ( ( ( late_FreeR @ SV642 @ SV706 )
         != ( late_FreeR @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( res @ ( sK116_SY1113 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK115_SY1111 @ SV706 @ SV642 @ SV498 @ SV258 ) ) ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV258 @ SV498 ) @ ( late_FreeR @ SV642 @ SV706 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3655]) ).

thf(3742,plain,
    ! [SV258: name,SV498: pi,SV642: late_freeRes,SV706: pi] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK113_P5 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( late_FreeR @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK115_SY1111 @ SV706 @ SV642 @ SV498 @ SV258 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK116_SY1113 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) ) ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV258 @ SV498 ) @ ( late_FreeR @ SV642 @ SV706 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3655]) ).

thf(3743,plain,
    ! [SV982: product_unit,SV259: product_unit > late_residual > $o] :
      ( ( ( ! [SY2450: late_residual] : ( SV259 @ SV982 @ SY2450 ) )
        = $true )
      | ( ( SV259 @ ( sK26_SY1001 @ SV259 ) @ ( late_FreeR @ ( sK24_FreeRes2 @ SV259 ) @ ( sK25_SY999 @ SV259 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK28_SY1002 @ SV259 ) @ ( sK27_Subject2 @ SV259 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3656]) ).

thf(3744,plain,
    ! [SV259: product_unit > late_residual > $o] :
      ( ( ( SV259 @ ( sK26_SY1001 @ SV259 ) @ ( late_FreeR @ ( sK24_FreeRes2 @ SV259 ) @ ( sK25_SY999 @ SV259 ) ) )
        = $false )
      | ( ( ! [SY1707: product_unit,SY1708: late_residual] : ( SV259 @ SY1707 @ SY1708 ) )
        = $true )
      | ( ( SV259 @ ( sK30_SY1007 @ SV259 ) @ ( late_BoundR @ ( sK27_Subject2 @ SV259 ) @ ( sK28_SY1002 @ SV259 ) @ ( sK29_SY1005 @ SV259 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3657]) ).

thf(3745,plain,
    ! [SV983: pi,SV260: pi > late_residual > $o] :
      ( ( ( ! [SY2451: late_residual] : ( SV260 @ SV983 @ SY2451 ) )
        = $true )
      | ( ( SV260 @ ( sK5_SY974 @ SV260 ) @ ( late_FreeR @ ( sK3_FreeRes2 @ SV260 ) @ ( sK4_SY972 @ SV260 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK7_SY975 @ SV260 ) @ ( sK6_Subject2 @ SV260 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3658]) ).

thf(3746,plain,
    ! [SV260: pi > late_residual > $o] :
      ( ( ( SV260 @ ( sK5_SY974 @ SV260 ) @ ( late_FreeR @ ( sK3_FreeRes2 @ SV260 ) @ ( sK4_SY972 @ SV260 ) ) )
        = $false )
      | ( ( ! [SY1709: pi,SY1710: late_residual] : ( SV260 @ SY1709 @ SY1710 ) )
        = $true )
      | ( ( SV260 @ ( sK9_SY980 @ SV260 ) @ ( late_BoundR @ ( sK6_Subject2 @ SV260 ) @ ( sK7_SY975 @ SV260 ) @ ( sK8_SY978 @ SV260 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3659]) ).

thf(3747,plain,
    ! [SV261: name,SV899: name,SV974: name] :
      ( ( ( SV974 != SV899 )
        = $true )
      | ( ( ( swap_name2 @ ( produc1570949143e_name @ SV261 @ SV974 ) @ SV899 )
          = SV261 )
        = $true )
      | ( ( SV261 = SV899 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3660]) ).

thf(3748,plain,
    ! [SV261: name,SV900: name,SV975: name] :
      ( ( ( SV975 = SV900 )
        = $true )
      | ( ( ( swap_name2 @ ( produc1570949143e_name @ SV261 @ SV975 ) @ SV900 )
          = SV900 )
        = $true )
      | ( ( SV261 = SV900 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3661]) ).

thf(3749,plain,
    ! [SV707: name,SV643: name,SV503: name,SV264: name] :
      ( ( ( ( late_OutputR @ SV264 @ SV503 )
          = ( late_OutputR @ SV643 @ SV707 ) )
        = $true )
      | ( ( ( late_OutputR @ SV264 @ SV503 )
          = ( late_OutputR @ SV643 @ SV707 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3662]) ).

thf(3750,plain,
    ! [SV707: name,SV503: name,SV643: name,SV264: name] :
      ( ( ( ~ ( ( SV264 != SV643 )
              | ( SV503 != SV707 ) ) )
        = $true )
      | ( ( ( late_OutputR @ SV264 @ SV503 )
          = ( late_OutputR @ SV643 @ SV707 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3663]) ).

thf(3751,plain,
    ! [SV707: name,SV503: name,SV643: name,SV264: name] :
      ( ( ( SV264 = SV643 )
        = $false )
      | ( ( SV503 != SV707 )
        = $true )
      | ( ( ~ ( ( ( late_OutputR @ SV264 @ SV503 )
               != ( late_OutputR @ SV643 @ SV707 ) )
              | ~ ~ ( ( SV264 != SV643 )
                    | ( SV503 != SV707 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3664]) ).

thf(3752,plain,
    ! [SV984: name,SV265: name > late_residual > $o] :
      ( ( ( ! [SY2452: late_residual] : ( SV265 @ SV984 @ SY2452 ) )
        = $true )
      | ( ( SV265 @ ( sK40_SY1019 @ SV265 ) @ ( late_FreeR @ ( sK38_FreeRes2 @ SV265 ) @ ( sK39_SY1017 @ SV265 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK42_SY1020 @ SV265 ) @ ( sK41_Subject2 @ SV265 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3665]) ).

thf(3753,plain,
    ! [SV265: name > late_residual > $o] :
      ( ( ( SV265 @ ( sK40_SY1019 @ SV265 ) @ ( late_FreeR @ ( sK38_FreeRes2 @ SV265 ) @ ( sK39_SY1017 @ SV265 ) ) )
        = $false )
      | ( ( ! [SY1730: name,SY1731: late_residual] : ( SV265 @ SY1730 @ SY1731 ) )
        = $true )
      | ( ( SV265 @ ( sK44_SY1025 @ SV265 ) @ ( late_BoundR @ ( sK41_Subject2 @ SV265 ) @ ( sK42_SY1020 @ SV265 ) @ ( sK43_SY1023 @ SV265 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3666]) ).

thf(3754,plain,
    ! [SV659: pi,SV793: name,SV353: late_subject,SV98: pi,SV541: name] :
      ( ( ( fresh_name_pi @ SV541 @ SV98 )
        = $false )
      | ( ( ~ ( fresh_717452603ubject @ SV541 @ SV353 )
          | ( late_transitions @ ( res @ SV793 @ SV98 ) @ ( late_BoundR @ SV353 @ SV541 @ ( res @ SV793 @ SV659 ) ) ) )
        = $true )
      | ( ( SV793 = SV541 )
        = $true )
      | ( ( fresh_717452603ubject @ SV793 @ SV353 )
        = $false )
      | ( ( late_transitions @ SV98 @ ( late_BoundR @ SV353 @ SV541 @ SV659 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3667]) ).

thf(3755,plain,
    ! [SV660: pi,SV924: pi,SV99: pi,SV354: late_subject,SV542: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV542 @ SV354 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV99 @ SV924 ) @ ( late_BoundR @ SV354 @ SV542 @ ( par @ SV660 @ SV924 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV542 @ SV924 )
        = $false )
      | ( ( fresh_name_pi @ SV542 @ SV99 )
        = $false )
      | ( ( late_transitions @ SV99 @ ( late_BoundR @ SV354 @ SV542 @ SV660 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3668]) ).

thf(3756,plain,
    ! [SV661: pi,SV100: pi,SV794: pi,SV355: late_subject,SV543: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV543 @ SV355 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV794 @ SV100 ) @ ( late_BoundR @ SV355 @ SV543 @ ( par @ SV794 @ SV661 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV543 @ SV100 )
        = $false )
      | ( ( fresh_name_pi @ SV543 @ SV794 )
        = $false )
      | ( ( late_transitions @ SV100 @ ( late_BoundR @ SV355 @ SV543 @ SV661 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3669]) ).

thf(3757,plain,
    ! [SV135: $o] :
      ( ( ( SV135
          | $false )
        = $false )
      | ( ( ~ ( ~ SV135
              | ~ $false ) )
        = $true )
      | ( SV135 = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3670]) ).

thf(3758,plain,
    ! [SV135: $o] :
      ( ( ( SV135
          | $false )
        = $false )
      | ( ( ~ ( ~ SV135
              | ~ $false ) )
        = $true )
      | ( SV135 = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3671]) ).

thf(3759,plain,
    ! [SV135: $o] :
      ( ( ( SV135
          | $false )
        = $false )
      | ( ( ~ ( ~ SV135
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3672]) ).

thf(3760,plain,
    ! [SV135: $o] :
      ( ( ( SV135
          | $false )
        = $false )
      | ( ( ~ ( ~ SV135
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3673]) ).

thf(3761,plain,
    ( ( ( $true
        | $false )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3674]) ).

thf(3762,plain,
    ( ( ( $true
        | $false )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3675]) ).

thf(3763,plain,
    ( ( ( $true
        | $false )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3676]) ).

thf(3764,plain,
    ( ( ( $true
        | $false )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3677]) ).

thf(3765,plain,
    ( ( ( $false
        | $false )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3678]) ).

thf(3766,plain,
    ( ( ( $false
        | $false )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3679]) ).

thf(3767,plain,
    ( ( ( $false
        | $false )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3680]) ).

thf(3768,plain,
    ( ( ( $false
        | $false )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3681]) ).

thf(3769,plain,
    ! [SV925: pi,SV680: pi,SV436: name,SV609: name,SV754: pi,SV190: pi,SV834: name] :
      ( ( ( ~ ( fresh_name_pi @ SV834 @ SV190 ) )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV834 @ SV754 )
          | ~ ( fresh_name_pi @ SV609 @ SV190 )
          | ~ ( fresh_name_pi @ SV609 @ SV754 )
          | ( SV834 = SV436 )
          | ~ ( fresh_name_pi @ SV834 @ SV680 )
          | ( SV609 = SV436 )
          | ~ ( fresh_name_pi @ SV609 @ SV925 )
          | ( SV834 = SV609 )
          | ( late_transitions @ ( par @ SV190 @ SV754 ) @ ( late_FreeR @ late_TauR @ ( res @ SV609 @ ( par @ SV680 @ ( subs @ SV925 @ SV834 @ SV609 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV754 @ ( late_BoundR @ ( late_InputS @ SV436 ) @ SV834 @ SV925 ) )
        = $false )
      | ( ( late_transitions @ SV190 @ ( late_BoundR @ ( late_BoundOutputS @ SV436 ) @ SV609 @ SV680 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3682]) ).

thf(3770,plain,
    ! [SV681: pi,SV926: pi,SV437: name,SV835: name,SV755: pi,SV191: pi,SV610: name] :
      ( ( ( ~ ( fresh_name_pi @ SV610 @ SV191 ) )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV610 @ SV755 )
          | ~ ( fresh_name_pi @ SV835 @ SV191 )
          | ~ ( fresh_name_pi @ SV835 @ SV755 )
          | ( SV610 = SV437 )
          | ~ ( fresh_name_pi @ SV610 @ SV926 )
          | ( SV835 = SV437 )
          | ~ ( fresh_name_pi @ SV835 @ SV681 )
          | ( SV610 = SV835 )
          | ( late_transitions @ ( par @ SV191 @ SV755 ) @ ( late_FreeR @ late_TauR @ ( res @ SV835 @ ( par @ ( subs @ SV681 @ SV610 @ SV835 ) @ SV926 ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV755 @ ( late_BoundR @ ( late_BoundOutputS @ SV437 ) @ SV835 @ SV926 ) )
        = $false )
      | ( ( late_transitions @ SV191 @ ( late_BoundR @ ( late_InputS @ SV437 ) @ SV610 @ SV681 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3683]) ).

thf(3771,plain,
    ! [SV438: name,SV836: name,SV927: pi,SV682: pi,SV192: pi,SV756: pi,SV611: name] :
      ( ( ( ~ ( fresh_name_pi @ SV611 @ SV756 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV192 @ SV756 ) @ ( late_FreeR @ late_TauR @ ( res @ SV611 @ ( par @ SV682 @ ( subs @ SV927 @ SV836 @ SV611 ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV756 @ ( late_BoundR @ ( late_InputS @ SV438 ) @ SV836 @ SV927 ) )
        = $false )
      | ( ( late_transitions @ SV192 @ ( late_BoundR @ ( late_BoundOutputS @ SV438 ) @ SV611 @ SV682 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3684]) ).

thf(3772,plain,
    ! [SV439: name,SV928: pi,SV612: name,SV683: pi,SV757: pi,SV193: pi,SV837: name] :
      ( ( ( ~ ( fresh_name_pi @ SV837 @ SV193 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV193 @ SV757 ) @ ( late_FreeR @ late_TauR @ ( res @ SV837 @ ( par @ ( subs @ SV683 @ SV612 @ SV837 ) @ SV928 ) ) ) )
        = $true )
      | ( ( late_transitions @ SV757 @ ( late_BoundR @ ( late_BoundOutputS @ SV439 ) @ SV837 @ SV928 ) )
        = $false )
      | ( ( late_transitions @ SV193 @ ( late_BoundR @ ( late_InputS @ SV439 ) @ SV612 @ SV683 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3685]) ).

thf(3773,plain,
    ! [SV929: pi,SV684: pi,SV613: name,SV440: name,SV758: pi,SV194: pi,SV838: name] :
      ( ( ( ~ ( fresh_name_pi @ SV838 @ SV194 ) )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV838 @ SV758 )
          | ( SV838 = SV440 )
          | ( SV838 = SV613 )
          | ~ ( fresh_name_pi @ SV838 @ SV684 )
          | ( late_transitions @ ( par @ SV194 @ SV758 ) @ ( late_FreeR @ late_TauR @ ( par @ SV684 @ ( subs @ SV929 @ SV838 @ SV613 ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV758 @ ( late_BoundR @ ( late_InputS @ SV440 ) @ SV838 @ SV929 ) )
        = $false )
      | ( ( late_transitions @ SV194 @ ( late_FreeR @ ( late_OutputR @ SV440 @ SV613 ) @ SV684 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3686]) ).

thf(3774,plain,
    ! [SV685: pi,SV930: pi,SV839: name,SV441: name,SV759: pi,SV195: pi,SV614: name] :
      ( ( ( ~ ( fresh_name_pi @ SV614 @ SV195 ) )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV614 @ SV759 )
          | ( SV614 = SV441 )
          | ( SV614 = SV839 )
          | ~ ( fresh_name_pi @ SV614 @ SV930 )
          | ( late_transitions @ ( par @ SV195 @ SV759 ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ SV685 @ SV614 @ SV839 ) @ SV930 ) ) ) )
        = $true )
      | ( ( late_transitions @ SV759 @ ( late_FreeR @ ( late_OutputR @ SV441 @ SV839 ) @ SV930 ) )
        = $false )
      | ( ( late_transitions @ SV195 @ ( late_BoundR @ ( late_InputS @ SV441 ) @ SV614 @ SV685 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3687]) ).

thf(3775,plain,
    ! [SV691: name,SV453: name] :
      ( ( ( SV453 = SV691 )
        = $false )
      | ( ( fresh_name_name @ SV453 @ SV691 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3691]) ).

thf(3776,plain,
    ! [SV691: name,SV453: name] :
      ( ( ( fresh_name_name @ SV453 @ SV691 )
        = $true )
      | ( ( SV453 = SV691 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3692]) ).

thf(3777,plain,
    ! [SV691: name,SV453: name] :
      ( ( ( SV453 != SV691 )
        = $true )
      | ( ( SV453 = SV691 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3693]) ).

thf(3778,plain,
    ! [SV985: late_residual,SV976: pi,SV228: pi > late_residual > $o] :
      ( ( ( SV228 @ SV976 @ SV985 )
        = $true )
      | ( ( SV228 @ ( sK33_SY1010 @ SV228 ) @ ( late_FreeR @ ( sK31_FreeRes2 @ SV228 ) @ ( sK32_SY1008 @ SV228 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK35_SY1011 @ SV228 ) @ ( sK34_Subject2 @ SV228 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3694]) ).

thf(3779,plain,
    ! [SV986: pi,SV228: pi > late_residual > $o] :
      ( ( ( ! [SY2453: late_residual] : ( SV228 @ SV986 @ SY2453 ) )
        = $true )
      | ( ( SV228 @ ( sK33_SY1010 @ SV228 ) @ ( late_FreeR @ ( sK31_FreeRes2 @ SV228 ) @ ( sK32_SY1008 @ SV228 ) ) )
        = $false )
      | ( ( SV228 @ ( sK37_SY1016 @ SV228 ) @ ( late_BoundR @ ( sK34_Subject2 @ SV228 ) @ ( sK35_SY1011 @ SV228 ) @ ( sK36_SY1014 @ SV228 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3695]) ).

thf(3780,plain,
    ! [SV625: late_subject,SV695: name,SV767: pi,SV465: pi,SV229: pi] :
      ( ( ( ( ( par @ SV229 @ SV465 )
           != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
          | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                 != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                  | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) )
        = $false )
      | ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3696]) ).

thf(3781,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
           != ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                            | ~ ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( par @ SV229 @ SV465 )
               != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                     != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3697]) ).

thf(3782,plain,
    ! [SV466: pi,SV768: pi,SV987: pi > $o,SV696: name,SV626: late_subject,SV230: pi] :
      ( ( ( ~ ( ~ ( late_transitions @ SV230 @ ( late_BoundR @ SV626 @ SV696 @ ( sK95_P4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
              | ~ ~ ( SV987 @ ( par @ ( sK95_P4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) @ SV466 ) ) )
          | ~ ( ~ ( late_transitions @ SV466 @ ( late_BoundR @ SV626 @ SV696 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
              | ~ ~ ( SV987 @ ( par @ SV230 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) ) )
          | ( SV987 @ SV768 ) )
        = $true )
      | ( ( fresh_name_pi @ SV696 @ SV466 )
        = $false )
      | ( ( fresh_name_pi @ SV696 @ SV230 )
        = $false )
      | ( ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SV626 @ SV696 @ SV768 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3698]) ).

thf(3783,plain,
    ! [SV988: late_residual,SV977: produc1141751126_pi_pi,SV231: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( SV231 @ SV977 @ SV988 )
        = $true )
      | ( ( SV231 @ ( sK19_SY992 @ SV231 ) @ ( late_FreeR @ ( sK17_FreeRes2 @ SV231 ) @ ( sK18_SY990 @ SV231 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK21_SY993 @ SV231 ) @ ( sK20_Subject2 @ SV231 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3699]) ).

thf(3784,plain,
    ! [SV989: produc1141751126_pi_pi,SV231: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( ! [SY2454: late_residual] : ( SV231 @ SV989 @ SY2454 ) )
        = $true )
      | ( ( SV231 @ ( sK19_SY992 @ SV231 ) @ ( late_FreeR @ ( sK17_FreeRes2 @ SV231 ) @ ( sK18_SY990 @ SV231 ) ) )
        = $false )
      | ( ( SV231 @ ( sK23_SY998 @ SV231 ) @ ( late_BoundR @ ( sK20_Subject2 @ SV231 ) @ ( sK21_SY993 @ SV231 ) @ ( sK22_SY996 @ SV231 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3700]) ).

thf(3785,plain,
    ! [SV627: late_subject,SV697: name,SV769: pi,SV467: pi,SV232: name] :
      ( ( ( ( ( res @ SV232 @ SV467 )
           != ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
          | ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                 != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                      | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                            | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                       != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                  | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                        | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) )
        = $false )
      | ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3701]) ).

thf(3786,plain,
    ! [SV232: name,SV467: pi,SV769: pi,SV697: name,SV627: late_subject] :
      ( ( ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
           != ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                | ~ ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                     != ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV232 @ SV467 )
               != ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                     != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                           != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3702]) ).

thf(3787,plain,
    ! [SV628: pi,SV471: late_freeRes,SV234: name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ SV234 @ SV471 ) )
        = $false )
      | ( ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SV628 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3703]) ).

thf(3788,plain,
    ! [SV471: late_freeRes,SV628: pi,SV234: name] :
      ( ( ( ~ ( fresh_name_pi @ SV234 @ SV628 ) )
        = $false )
      | ( ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SV628 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3703]) ).

thf(3789,plain,
    ! [SV628: pi,SV471: late_freeRes,SV234: name] :
      ( ( ( ~ ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SV628 ) )
          | ~ ~ ( ~ ( fresh_1641682979reeRes @ SV234 @ SV471 )
                | ~ ( fresh_name_pi @ SV234 @ SV628 ) ) )
        = $false )
      | ( ( fresh_1641682979reeRes @ SV234 @ SV471 )
        = $false )
      | ( ( fresh_name_pi @ SV234 @ SV628 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3704]) ).

thf(3790,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3705]) ).

thf(3791,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                            | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                       != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                  | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                        | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3705]) ).

thf(3792,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                           != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
          | ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3706]) ).

thf(3793,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
                   != ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                           != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
          | ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3707]) ).

thf(3794,plain,
    ! [SV630: name,SV477: name,SV238: name] :
      ( ( ( ~ ( fresh_name_name @ SV238 @ SV477 ) )
        = $false )
      | ( ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SV630 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3708]) ).

thf(3795,plain,
    ! [SV477: name,SV630: name,SV238: name] :
      ( ( ( ~ ( fresh_name_name @ SV238 @ SV630 ) )
        = $false )
      | ( ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SV630 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3708]) ).

thf(3796,plain,
    ! [SV630: name,SV477: name,SV238: name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SV630 ) )
          | ~ ~ ( ~ ( fresh_name_name @ SV238 @ SV477 )
                | ~ ( fresh_name_name @ SV238 @ SV630 ) ) )
        = $false )
      | ( ( fresh_name_name @ SV238 @ SV477 )
        = $false )
      | ( ( fresh_name_name @ SV238 @ SV630 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3709]) ).

thf(3797,plain,
    ! [SV698: list_P227219501e_name,SV479: list_P227219501e_name,SV631: produc367475239e_name,SV240: produc367475239e_name] :
      ( ( ( ( SV240 != SV631 )
          | ( SV479 != SV698 ) )
        = $false )
      | ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
          = ( cons_P1213805021e_name @ SV631 @ SV698 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3711]) ).

thf(3798,plain,
    ! [SV631: produc367475239e_name,SV240: produc367475239e_name,SV698: list_P227219501e_name,SV479: list_P227219501e_name] :
      ( ( ( SV479 = SV698 )
        = $false )
      | ( ( SV240 = SV631 )
        = $false )
      | ( ( ~ ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
               != ( cons_P1213805021e_name @ SV631 @ SV698 ) )
              | ~ ~ ( ( SV240 != SV631 )
                    | ( SV479 != SV698 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3712]) ).

thf(3799,plain,
    ! [SV990: late_residual,SV978: produc1141751126_pi_pi,SV241: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( SV241 @ SV978 @ SV990 )
        = $true )
      | ( ( SV241 @ ( sK47_SY1028 @ SV241 ) @ ( late_FreeR @ ( sK45_FreeRes2 @ SV241 ) @ ( sK46_SY1026 @ SV241 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK49_SY1029 @ SV241 ) @ ( sK48_Subject2 @ SV241 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3713]) ).

thf(3800,plain,
    ! [SV991: produc1141751126_pi_pi,SV241: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( ! [SY2455: late_residual] : ( SV241 @ SV991 @ SY2455 ) )
        = $true )
      | ( ( SV241 @ ( sK47_SY1028 @ SV241 ) @ ( late_FreeR @ ( sK45_FreeRes2 @ SV241 ) @ ( sK46_SY1026 @ SV241 ) ) )
        = $false )
      | ( ( SV241 @ ( sK51_SY1034 @ SV241 ) @ ( late_BoundR @ ( sK48_Subject2 @ SV241 ) @ ( sK49_SY1029 @ SV241 ) @ ( sK50_SY1032 @ SV241 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3714]) ).

thf(3801,plain,
    ! [SV632: pi,SV480: pi,SV242: name] :
      ( ( ( ~ ( fresh_name_pi @ SV242 @ SV480 ) )
        = $false )
      | ( ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SV632 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3715]) ).

thf(3802,plain,
    ! [SV480: pi,SV632: pi,SV242: name] :
      ( ( ( ~ ( fresh_name_pi @ SV242 @ SV632 ) )
        = $false )
      | ( ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SV632 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3715]) ).

thf(3803,plain,
    ! [SV632: pi,SV480: pi,SV242: name] :
      ( ( ( ~ ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SV632 ) )
          | ~ ~ ( ~ ( fresh_name_pi @ SV242 @ SV480 )
                | ~ ( fresh_name_pi @ SV242 @ SV632 ) ) )
        = $false )
      | ( ( fresh_name_pi @ SV242 @ SV480 )
        = $false )
      | ( ( fresh_name_pi @ SV242 @ SV632 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3716]) ).

thf(3804,plain,
    ! [SV699: name,SV481: name,SV633: name,SV243: name] :
      ( ( ( ( SV243 != SV633 )
          | ( SV481 != SV699 ) )
        = $false )
      | ( ( ( late_OutputR @ SV243 @ SV481 )
          = ( late_OutputR @ SV633 @ SV699 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3718]) ).

thf(3805,plain,
    ! [SV633: name,SV243: name,SV699: name,SV481: name] :
      ( ( ( SV481 = SV699 )
        = $false )
      | ( ( SV243 = SV633 )
        = $false )
      | ( ( ~ ( ( ( late_OutputR @ SV243 @ SV481 )
               != ( late_OutputR @ SV633 @ SV699 ) )
              | ~ ~ ( ( SV243 != SV633 )
                    | ( SV481 != SV699 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3719]) ).

thf(3806,plain,
    ! [SV992: late_residual,SV979: product_unit,SV244: product_unit > late_residual > $o] :
      ( ( ( SV244 @ SV979 @ SV992 )
        = $true )
      | ( ( SV244 @ ( sK54_SY1037 @ SV244 ) @ ( late_FreeR @ ( sK52_FreeRes2 @ SV244 ) @ ( sK53_SY1035 @ SV244 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK56_SY1038 @ SV244 ) @ ( sK55_Subject2 @ SV244 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3720]) ).

thf(3807,plain,
    ! [SV993: product_unit,SV244: product_unit > late_residual > $o] :
      ( ( ( ! [SY2456: late_residual] : ( SV244 @ SV993 @ SY2456 ) )
        = $true )
      | ( ( SV244 @ ( sK54_SY1037 @ SV244 ) @ ( late_FreeR @ ( sK52_FreeRes2 @ SV244 ) @ ( sK53_SY1035 @ SV244 ) ) )
        = $false )
      | ( ( SV244 @ ( sK58_SY1043 @ SV244 ) @ ( late_BoundR @ ( sK55_Subject2 @ SV244 ) @ ( sK56_SY1038 @ SV244 ) @ ( sK57_SY1041 @ SV244 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3721]) ).

thf(3808,plain,
    ! [SV994: late_residual,SV980: name,SV245: name > late_residual > $o] :
      ( ( ( SV245 @ SV980 @ SV994 )
        = $true )
      | ( ( SV245 @ ( sK12_SY983 @ SV245 ) @ ( late_FreeR @ ( sK10_FreeRes2 @ SV245 ) @ ( sK11_SY981 @ SV245 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK14_SY984 @ SV245 ) @ ( sK13_Subject2 @ SV245 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3722]) ).

thf(3809,plain,
    ! [SV995: name,SV245: name > late_residual > $o] :
      ( ( ( ! [SY2457: late_residual] : ( SV245 @ SV995 @ SY2457 ) )
        = $true )
      | ( ( SV245 @ ( sK12_SY983 @ SV245 ) @ ( late_FreeR @ ( sK10_FreeRes2 @ SV245 ) @ ( sK11_SY981 @ SV245 ) ) )
        = $false )
      | ( ( SV245 @ ( sK16_SY989 @ SV245 ) @ ( late_BoundR @ ( sK13_Subject2 @ SV245 ) @ ( sK14_SY984 @ SV245 ) @ ( sK15_SY987 @ SV245 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3723]) ).

thf(3810,plain,
    ! [SV482: pi,SV634: list_pi,SV246: name] :
      ( ( ( ~ ( fresh_name_list_pi @ SV246 @ SV634 ) )
        = $false )
      | ( ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SV634 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3724]) ).

thf(3811,plain,
    ! [SV634: list_pi,SV482: pi,SV246: name] :
      ( ( ( ~ ( fresh_name_pi @ SV246 @ SV482 ) )
        = $false )
      | ( ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SV634 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3724]) ).

thf(3812,plain,
    ! [SV634: list_pi,SV482: pi,SV246: name] :
      ( ( ( ~ ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SV634 ) )
          | ~ ~ ( ~ ( fresh_name_list_pi @ SV246 @ SV634 )
                | ~ ( fresh_name_pi @ SV246 @ SV482 ) ) )
        = $false )
      | ( ( fresh_name_list_pi @ SV246 @ SV634 )
        = $false )
      | ( ( fresh_name_pi @ SV246 @ SV482 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3725]) ).

thf(3813,plain,
    ! [SV959: pi,SV700: late_subject,SV635: pi,SV488: name,SV250: name,SV770: name] :
      ( ( ( SV770 = SV250 )
        = $true )
      | ( ( ( SV770 = SV488 )
          | ~ ( fresh_name_pi @ SV770 @ SV635 )
          | ( SV700
            = ( late_InputS @ SV250 ) )
          | ! [SY2444: late_subject > name > pi > $o] : ( SY2444 @ SV700 @ SV770 @ SV959 ) )
        = $true )
      | ( ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SV959 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3726]) ).

thf(3814,plain,
    ! [SV996: pi,SV770: name,SV700: late_subject,SV635: pi,SV488: name,SV250: name] :
      ( ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SV996 ) )
        | ( SV770 = SV250 )
        | ( SV770 = SV488 )
        | ~ ( fresh_name_pi @ SV770 @ SV635 )
        | ( SV996
          = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
        | ! [SY2458: late_subject > name > pi > $o] : ( SY2458 @ SV700 @ SV770 @ SV996 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3727]) ).

thf(3815,plain,
    ! [SV997: pi,SV770: name,SV700: late_subject,SV635: pi,SV488: name,SV250: name] :
      ( ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SV997 ) )
        | ( SV770 = SV250 )
        | ( SV770 = SV488 )
        | ~ ( fresh_name_pi @ SV770 @ SV635 )
        | ! [SY2459: late_subject > name > pi > $o] :
            ( ~ ( SY2459 @ ( late_InputS @ SV250 ) @ SV770 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
            | ( SY2459 @ SV700 @ SV770 @ SV997 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3728]) ).

thf(3816,plain,
    ! [SV636: name,SV489: name,SV251: name] :
      ( ( ( ~ ( fresh_name_name @ SV251 @ SV489 ) )
        = $false )
      | ( ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SV636 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3729]) ).

thf(3817,plain,
    ! [SV489: name,SV636: name,SV251: name] :
      ( ( ( ~ ( fresh_name_name @ SV251 @ SV636 ) )
        = $false )
      | ( ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SV636 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3729]) ).

thf(3818,plain,
    ! [SV636: name,SV489: name,SV251: name] :
      ( ( ( ~ ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SV636 ) )
          | ~ ~ ( ~ ( fresh_name_name @ SV251 @ SV489 )
                | ~ ( fresh_name_name @ SV251 @ SV636 ) ) )
        = $false )
      | ( ( fresh_name_name @ SV251 @ SV489 )
        = $false )
      | ( ( fresh_name_name @ SV251 @ SV636 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3730]) ).

thf(3819,plain,
    ! [SV490: pi,SV701: pi,SV821: pi > $o,SV637: late_freeRes,SV252: name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ SV252 @ SV637 )
          | ~ ~ ( SV821 @ ( res @ SV252 @ ( sK117_P4 @ SV821 @ SV701 @ SV637 @ SV490 @ SV252 ) ) ) )
        = $false )
      | ( ( SV821 @ SV701 )
        = $true )
      | ( ( late_transitions @ ( res @ SV252 @ SV490 ) @ ( late_FreeR @ SV637 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3732]) ).

thf(3820,plain,
    ! [SV253: name,SV638: late_subject,SV702: name,SV771: pi,SV981: late_subject > pi > $o,SV491: pi] :
      ( ( ( ~ ( ~ ( late_transitions @ SV491 @ ( late_FreeR @ ( late_OutputR @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) @ SV253 ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
              | ~ ~ ( ~ ( ( ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 )
                         != SV253 ) )
                    | ~ ~ ( ( SV638
                           != ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
                          | ~ ~ ( SV981 @ ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV702 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                    | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
          | ( SV981 @ SV638 @ SV771 ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3733]) ).

thf(3821,plain,
    ! [SV703: pi,SV495: pi,SV639: pi,SV255: pi] :
      ( ( ( ( SV255 != SV639 )
          | ( SV495 != SV703 ) )
        = $false )
      | ( ( ( par @ SV255 @ SV495 )
          = ( par @ SV639 @ SV703 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3735]) ).

thf(3822,plain,
    ! [SV639: pi,SV255: pi,SV703: pi,SV495: pi] :
      ( ( ( SV495 = SV703 )
        = $false )
      | ( ( SV255 = SV639 )
        = $false )
      | ( ( ~ ( ( ( par @ SV255 @ SV495 )
               != ( par @ SV639 @ SV703 ) )
              | ~ ~ ( ( SV255 != SV639 )
                    | ( SV495 != SV703 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3736]) ).

thf(3823,plain,
    ! [SV496: set_Pr1834926343_pi_pi,SV640: pi,SV895: pi,SV704: late_subject,SV256: pi,SV825: name] :
      ( ( ( fresh_name_pi @ SV825 @ SV256 )
        = $false )
      | ( ( ~ ( ~ ( late_transitions @ SV256 @ ( late_BoundR @ SV704 @ SV825 @ ( sK92_P4 @ SV895 @ SV825 @ SV704 @ SV640 @ SV496 @ SV256 ) ) )
              | ~ ( strong2129052853vative @ ( sK92_P4 @ SV895 @ SV825 @ SV704 @ SV640 @ SV496 @ SV256 ) @ SV895 @ SV704 @ SV825 @ SV496 ) ) )
        = $true )
      | ( ( late_transitions @ SV640 @ ( late_BoundR @ SV704 @ SV825 @ SV895 ) )
        = $false )
      | ( ( strong743114133lation @ SV256 @ SV496 @ SV640 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3737]) ).

thf(3824,plain,
    ! [SV705: pi,SV497: pi,SV641: late_freeRes,SV257: late_freeRes] :
      ( ( ( ( SV257 != SV641 )
          | ( SV497 != SV705 ) )
        = $false )
      | ( ( ( late_FreeR @ SV257 @ SV497 )
          = ( late_FreeR @ SV641 @ SV705 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3739]) ).

thf(3825,plain,
    ! [SV641: late_freeRes,SV257: late_freeRes,SV705: pi,SV497: pi] :
      ( ( ( SV497 = SV705 )
        = $false )
      | ( ( SV257 = SV641 )
        = $false )
      | ( ( ~ ( ( ( late_FreeR @ SV257 @ SV497 )
               != ( late_FreeR @ SV641 @ SV705 ) )
              | ~ ~ ( ( SV257 != SV641 )
                    | ( SV497 != SV705 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3740]) ).

thf(3826,plain,
    ! [SV258: name,SV498: pi,SV706: pi,SV642: late_freeRes] :
      ( ( ( ( late_FreeR @ SV642 @ SV706 )
          = ( late_FreeR @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( res @ ( sK116_SY1113 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK115_SY1111 @ SV706 @ SV642 @ SV498 @ SV258 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV258 @ SV498 ) @ ( late_FreeR @ SV642 @ SV706 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3741]) ).

thf(3827,plain,
    ! [SV258: name,SV498: pi,SV642: late_freeRes,SV706: pi] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK113_P5 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( late_FreeR @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK115_SY1111 @ SV706 @ SV642 @ SV498 @ SV258 ) ) )
              | ~ ( fresh_1641682979reeRes @ ( sK116_SY1113 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV258 @ SV498 ) @ ( late_FreeR @ SV642 @ SV706 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3742]) ).

thf(3828,plain,
    ! [SV998: late_residual,SV982: product_unit,SV259: product_unit > late_residual > $o] :
      ( ( ( SV259 @ SV982 @ SV998 )
        = $true )
      | ( ( SV259 @ ( sK26_SY1001 @ SV259 ) @ ( late_FreeR @ ( sK24_FreeRes2 @ SV259 ) @ ( sK25_SY999 @ SV259 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK28_SY1002 @ SV259 ) @ ( sK27_Subject2 @ SV259 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3743]) ).

thf(3829,plain,
    ! [SV999: product_unit,SV259: product_unit > late_residual > $o] :
      ( ( ( ! [SY2460: late_residual] : ( SV259 @ SV999 @ SY2460 ) )
        = $true )
      | ( ( SV259 @ ( sK26_SY1001 @ SV259 ) @ ( late_FreeR @ ( sK24_FreeRes2 @ SV259 ) @ ( sK25_SY999 @ SV259 ) ) )
        = $false )
      | ( ( SV259 @ ( sK30_SY1007 @ SV259 ) @ ( late_BoundR @ ( sK27_Subject2 @ SV259 ) @ ( sK28_SY1002 @ SV259 ) @ ( sK29_SY1005 @ SV259 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3744]) ).

thf(3830,plain,
    ! [SV1000: late_residual,SV983: pi,SV260: pi > late_residual > $o] :
      ( ( ( SV260 @ SV983 @ SV1000 )
        = $true )
      | ( ( SV260 @ ( sK5_SY974 @ SV260 ) @ ( late_FreeR @ ( sK3_FreeRes2 @ SV260 ) @ ( sK4_SY972 @ SV260 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK7_SY975 @ SV260 ) @ ( sK6_Subject2 @ SV260 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3745]) ).

thf(3831,plain,
    ! [SV1001: pi,SV260: pi > late_residual > $o] :
      ( ( ( ! [SY2461: late_residual] : ( SV260 @ SV1001 @ SY2461 ) )
        = $true )
      | ( ( SV260 @ ( sK5_SY974 @ SV260 ) @ ( late_FreeR @ ( sK3_FreeRes2 @ SV260 ) @ ( sK4_SY972 @ SV260 ) ) )
        = $false )
      | ( ( SV260 @ ( sK9_SY980 @ SV260 ) @ ( late_BoundR @ ( sK6_Subject2 @ SV260 ) @ ( sK7_SY975 @ SV260 ) @ ( sK8_SY978 @ SV260 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3746]) ).

thf(3832,plain,
    ! [SV261: name,SV899: name,SV974: name] :
      ( ( ( SV974 = SV899 )
        = $false )
      | ( ( ( swap_name2 @ ( produc1570949143e_name @ SV261 @ SV974 ) @ SV899 )
          = SV261 )
        = $true )
      | ( ( SV261 = SV899 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3747]) ).

thf(3833,plain,
    ! [SV707: name,SV503: name,SV643: name,SV264: name] :
      ( ( ( ( SV264 != SV643 )
          | ( SV503 != SV707 ) )
        = $false )
      | ( ( ( late_OutputR @ SV264 @ SV503 )
          = ( late_OutputR @ SV643 @ SV707 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3750]) ).

thf(3834,plain,
    ! [SV643: name,SV264: name,SV707: name,SV503: name] :
      ( ( ( SV503 = SV707 )
        = $false )
      | ( ( SV264 = SV643 )
        = $false )
      | ( ( ~ ( ( ( late_OutputR @ SV264 @ SV503 )
               != ( late_OutputR @ SV643 @ SV707 ) )
              | ~ ~ ( ( SV264 != SV643 )
                    | ( SV503 != SV707 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3751]) ).

thf(3835,plain,
    ! [SV1002: late_residual,SV984: name,SV265: name > late_residual > $o] :
      ( ( ( SV265 @ SV984 @ SV1002 )
        = $true )
      | ( ( SV265 @ ( sK40_SY1019 @ SV265 ) @ ( late_FreeR @ ( sK38_FreeRes2 @ SV265 ) @ ( sK39_SY1017 @ SV265 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK42_SY1020 @ SV265 ) @ ( sK41_Subject2 @ SV265 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3752]) ).

thf(3836,plain,
    ! [SV1003: name,SV265: name > late_residual > $o] :
      ( ( ( ! [SY2462: late_residual] : ( SV265 @ SV1003 @ SY2462 ) )
        = $true )
      | ( ( SV265 @ ( sK40_SY1019 @ SV265 ) @ ( late_FreeR @ ( sK38_FreeRes2 @ SV265 ) @ ( sK39_SY1017 @ SV265 ) ) )
        = $false )
      | ( ( SV265 @ ( sK44_SY1025 @ SV265 ) @ ( late_BoundR @ ( sK41_Subject2 @ SV265 ) @ ( sK42_SY1020 @ SV265 ) @ ( sK43_SY1023 @ SV265 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3753]) ).

thf(3837,plain,
    ! [SV659: pi,SV98: pi,SV793: name,SV353: late_subject,SV541: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV541 @ SV353 ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV793 @ SV98 ) @ ( late_BoundR @ SV353 @ SV541 @ ( res @ SV793 @ SV659 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV541 @ SV98 )
        = $false )
      | ( ( SV793 = SV541 )
        = $true )
      | ( ( fresh_717452603ubject @ SV793 @ SV353 )
        = $false )
      | ( ( late_transitions @ SV98 @ ( late_BoundR @ SV353 @ SV541 @ SV659 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3754]) ).

thf(3838,plain,
    ! [SV660: pi,SV924: pi,SV99: pi,SV354: late_subject,SV542: name] :
      ( ( ( fresh_717452603ubject @ SV542 @ SV354 )
        = $false )
      | ( ( late_transitions @ ( par @ SV99 @ SV924 ) @ ( late_BoundR @ SV354 @ SV542 @ ( par @ SV660 @ SV924 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV542 @ SV924 )
        = $false )
      | ( ( fresh_name_pi @ SV542 @ SV99 )
        = $false )
      | ( ( late_transitions @ SV99 @ ( late_BoundR @ SV354 @ SV542 @ SV660 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3755]) ).

thf(3839,plain,
    ! [SV661: pi,SV100: pi,SV794: pi,SV355: late_subject,SV543: name] :
      ( ( ( fresh_717452603ubject @ SV543 @ SV355 )
        = $false )
      | ( ( late_transitions @ ( par @ SV794 @ SV100 ) @ ( late_BoundR @ SV355 @ SV543 @ ( par @ SV794 @ SV661 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV543 @ SV100 )
        = $false )
      | ( ( fresh_name_pi @ SV543 @ SV794 )
        = $false )
      | ( ( late_transitions @ SV100 @ ( late_BoundR @ SV355 @ SV543 @ SV661 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3756]) ).

thf(3840,plain,
    ! [SV135: $o] :
      ( ( SV135 = $false )
      | ( ( ~ ( ~ SV135
              | ~ $false ) )
        = $true )
      | ( SV135 = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3757]) ).

thf(3841,plain,
    ! [SV135: $o] :
      ( ( $false = $false )
      | ( ( ~ ( ~ SV135
              | ~ $false ) )
        = $true )
      | ( SV135 = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3757]) ).

thf(3842,plain,
    ! [SV135: $o] :
      ( ( SV135 = $false )
      | ( ( ~ ( ~ SV135
              | ~ $false ) )
        = $true )
      | ( SV135 = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3758]) ).

thf(3843,plain,
    ! [SV135: $o] :
      ( ( $false = $false )
      | ( ( ~ ( ~ SV135
              | ~ $false ) )
        = $true )
      | ( SV135 = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3758]) ).

thf(3844,plain,
    ! [SV135: $o] :
      ( ( SV135 = $false )
      | ( ( ~ ( ~ SV135
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3759]) ).

thf(3845,plain,
    ! [SV135: $o] :
      ( ( $false = $false )
      | ( ( ~ ( ~ SV135
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3759]) ).

thf(3846,plain,
    ! [SV135: $o] :
      ( ( SV135 = $false )
      | ( ( ~ ( ~ SV135
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3760]) ).

thf(3847,plain,
    ! [SV135: $o] :
      ( ( $false = $false )
      | ( ( ~ ( ~ SV135
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3760]) ).

thf(3848,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3761]) ).

thf(3849,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3761]) ).

thf(3850,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3762]) ).

thf(3851,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3762]) ).

thf(3852,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3763]) ).

thf(3853,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3763]) ).

thf(3854,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3764]) ).

thf(3855,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3764]) ).

thf(3856,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3765]) ).

thf(3857,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3765]) ).

thf(3858,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3766]) ).

thf(3859,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3766]) ).

thf(3860,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3767]) ).

thf(3861,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3767]) ).

thf(3862,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3768]) ).

thf(3863,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3768]) ).

thf(3864,plain,
    ! [SV925: pi,SV680: pi,SV436: name,SV609: name,SV754: pi,SV190: pi,SV834: name] :
      ( ( ( fresh_name_pi @ SV834 @ SV190 )
        = $false )
      | ( ( ~ ( fresh_name_pi @ SV834 @ SV754 )
          | ~ ( fresh_name_pi @ SV609 @ SV190 )
          | ~ ( fresh_name_pi @ SV609 @ SV754 )
          | ( SV834 = SV436 )
          | ~ ( fresh_name_pi @ SV834 @ SV680 )
          | ( SV609 = SV436 )
          | ~ ( fresh_name_pi @ SV609 @ SV925 )
          | ( SV834 = SV609 )
          | ( late_transitions @ ( par @ SV190 @ SV754 ) @ ( late_FreeR @ late_TauR @ ( res @ SV609 @ ( par @ SV680 @ ( subs @ SV925 @ SV834 @ SV609 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV754 @ ( late_BoundR @ ( late_InputS @ SV436 ) @ SV834 @ SV925 ) )
        = $false )
      | ( ( late_transitions @ SV190 @ ( late_BoundR @ ( late_BoundOutputS @ SV436 ) @ SV609 @ SV680 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3769]) ).

thf(3865,plain,
    ! [SV681: pi,SV926: pi,SV437: name,SV835: name,SV755: pi,SV191: pi,SV610: name] :
      ( ( ( fresh_name_pi @ SV610 @ SV191 )
        = $false )
      | ( ( ~ ( fresh_name_pi @ SV610 @ SV755 )
          | ~ ( fresh_name_pi @ SV835 @ SV191 )
          | ~ ( fresh_name_pi @ SV835 @ SV755 )
          | ( SV610 = SV437 )
          | ~ ( fresh_name_pi @ SV610 @ SV926 )
          | ( SV835 = SV437 )
          | ~ ( fresh_name_pi @ SV835 @ SV681 )
          | ( SV610 = SV835 )
          | ( late_transitions @ ( par @ SV191 @ SV755 ) @ ( late_FreeR @ late_TauR @ ( res @ SV835 @ ( par @ ( subs @ SV681 @ SV610 @ SV835 ) @ SV926 ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV755 @ ( late_BoundR @ ( late_BoundOutputS @ SV437 ) @ SV835 @ SV926 ) )
        = $false )
      | ( ( late_transitions @ SV191 @ ( late_BoundR @ ( late_InputS @ SV437 ) @ SV610 @ SV681 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3770]) ).

thf(3866,plain,
    ! [SV438: name,SV836: name,SV927: pi,SV682: pi,SV192: pi,SV756: pi,SV611: name] :
      ( ( ( fresh_name_pi @ SV611 @ SV756 )
        = $false )
      | ( ( late_transitions @ ( par @ SV192 @ SV756 ) @ ( late_FreeR @ late_TauR @ ( res @ SV611 @ ( par @ SV682 @ ( subs @ SV927 @ SV836 @ SV611 ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV756 @ ( late_BoundR @ ( late_InputS @ SV438 ) @ SV836 @ SV927 ) )
        = $false )
      | ( ( late_transitions @ SV192 @ ( late_BoundR @ ( late_BoundOutputS @ SV438 ) @ SV611 @ SV682 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3771]) ).

thf(3867,plain,
    ! [SV439: name,SV928: pi,SV612: name,SV683: pi,SV757: pi,SV193: pi,SV837: name] :
      ( ( ( fresh_name_pi @ SV837 @ SV193 )
        = $false )
      | ( ( late_transitions @ ( par @ SV193 @ SV757 ) @ ( late_FreeR @ late_TauR @ ( res @ SV837 @ ( par @ ( subs @ SV683 @ SV612 @ SV837 ) @ SV928 ) ) ) )
        = $true )
      | ( ( late_transitions @ SV757 @ ( late_BoundR @ ( late_BoundOutputS @ SV439 ) @ SV837 @ SV928 ) )
        = $false )
      | ( ( late_transitions @ SV193 @ ( late_BoundR @ ( late_InputS @ SV439 ) @ SV612 @ SV683 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3772]) ).

thf(3868,plain,
    ! [SV929: pi,SV684: pi,SV613: name,SV440: name,SV758: pi,SV194: pi,SV838: name] :
      ( ( ( fresh_name_pi @ SV838 @ SV194 )
        = $false )
      | ( ( ~ ( fresh_name_pi @ SV838 @ SV758 )
          | ( SV838 = SV440 )
          | ( SV838 = SV613 )
          | ~ ( fresh_name_pi @ SV838 @ SV684 )
          | ( late_transitions @ ( par @ SV194 @ SV758 ) @ ( late_FreeR @ late_TauR @ ( par @ SV684 @ ( subs @ SV929 @ SV838 @ SV613 ) ) ) ) )
        = $true )
      | ( ( late_transitions @ SV758 @ ( late_BoundR @ ( late_InputS @ SV440 ) @ SV838 @ SV929 ) )
        = $false )
      | ( ( late_transitions @ SV194 @ ( late_FreeR @ ( late_OutputR @ SV440 @ SV613 ) @ SV684 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3773]) ).

thf(3869,plain,
    ! [SV685: pi,SV930: pi,SV839: name,SV441: name,SV759: pi,SV195: pi,SV614: name] :
      ( ( ( fresh_name_pi @ SV614 @ SV195 )
        = $false )
      | ( ( ~ ( fresh_name_pi @ SV614 @ SV759 )
          | ( SV614 = SV441 )
          | ( SV614 = SV839 )
          | ~ ( fresh_name_pi @ SV614 @ SV930 )
          | ( late_transitions @ ( par @ SV195 @ SV759 ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ SV685 @ SV614 @ SV839 ) @ SV930 ) ) ) )
        = $true )
      | ( ( late_transitions @ SV759 @ ( late_FreeR @ ( late_OutputR @ SV441 @ SV839 ) @ SV930 ) )
        = $false )
      | ( ( late_transitions @ SV195 @ ( late_BoundR @ ( late_InputS @ SV441 ) @ SV614 @ SV685 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3774]) ).

thf(3870,plain,
    ! [SV691: name,SV453: name] :
      ( ( ( SV453 = SV691 )
        = $false )
      | ( ( SV453 = SV691 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3777]) ).

thf(3871,plain,
    ! [SV1004: late_residual,SV986: pi,SV228: pi > late_residual > $o] :
      ( ( ( SV228 @ SV986 @ SV1004 )
        = $true )
      | ( ( SV228 @ ( sK33_SY1010 @ SV228 ) @ ( late_FreeR @ ( sK31_FreeRes2 @ SV228 ) @ ( sK32_SY1008 @ SV228 ) ) )
        = $false )
      | ( ( SV228 @ ( sK37_SY1016 @ SV228 ) @ ( late_BoundR @ ( sK34_Subject2 @ SV228 ) @ ( sK35_SY1011 @ SV228 ) @ ( sK36_SY1014 @ SV228 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3779]) ).

thf(3872,plain,
    ! [SV625: late_subject,SV695: name,SV767: pi,SV465: pi,SV229: pi] :
      ( ( ( ( par @ SV229 @ SV465 )
         != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3780]) ).

thf(3873,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                 != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                  | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) )
        = $false )
      | ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3780]) ).

thf(3874,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
         != ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( par @ SV229 @ SV465 )
               != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                     != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3781]) ).

thf(3875,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                            | ~ ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( par @ SV229 @ SV465 )
               != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                     != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3781]) ).

thf(3876,plain,
    ! [SV466: pi,SV768: pi,SV987: pi > $o,SV696: name,SV626: late_subject,SV230: pi] :
      ( ( ( ~ ( ~ ( late_transitions @ SV230 @ ( late_BoundR @ SV626 @ SV696 @ ( sK95_P4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
              | ~ ~ ( SV987 @ ( par @ ( sK95_P4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) @ SV466 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( late_transitions @ SV466 @ ( late_BoundR @ SV626 @ SV696 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
              | ~ ~ ( SV987 @ ( par @ SV230 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) ) )
          | ( SV987 @ SV768 ) )
        = $true )
      | ( ( fresh_name_pi @ SV696 @ SV466 )
        = $false )
      | ( ( fresh_name_pi @ SV696 @ SV230 )
        = $false )
      | ( ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SV626 @ SV696 @ SV768 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3782]) ).

thf(3877,plain,
    ! [SV1005: late_residual,SV989: produc1141751126_pi_pi,SV231: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( SV231 @ SV989 @ SV1005 )
        = $true )
      | ( ( SV231 @ ( sK19_SY992 @ SV231 ) @ ( late_FreeR @ ( sK17_FreeRes2 @ SV231 ) @ ( sK18_SY990 @ SV231 ) ) )
        = $false )
      | ( ( SV231 @ ( sK23_SY998 @ SV231 ) @ ( late_BoundR @ ( sK20_Subject2 @ SV231 ) @ ( sK21_SY993 @ SV231 ) @ ( sK22_SY996 @ SV231 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3784]) ).

thf(3878,plain,
    ! [SV627: late_subject,SV697: name,SV769: pi,SV467: pi,SV232: name] :
      ( ( ( ( res @ SV232 @ SV467 )
         != ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $false )
      | ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3785]) ).

thf(3879,plain,
    ! [SV232: name,SV467: pi,SV769: pi,SV697: name,SV627: late_subject] :
      ( ( ( ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                 != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                      | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                            | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                       != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                  | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                        | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) )
        = $false )
      | ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3785]) ).

thf(3880,plain,
    ! [SV232: name,SV467: pi,SV769: pi,SV697: name,SV627: late_subject] :
      ( ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
         != ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV232 @ SV467 )
               != ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                     != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                           != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3786]) ).

thf(3881,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                | ~ ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                     != ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV232 @ SV467 )
               != ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                     != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                           != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3786]) ).

thf(3882,plain,
    ! [SV628: pi,SV471: late_freeRes,SV234: name] :
      ( ( ( fresh_1641682979reeRes @ SV234 @ SV471 )
        = $true )
      | ( ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SV628 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3787]) ).

thf(3883,plain,
    ! [SV471: late_freeRes,SV628: pi,SV234: name] :
      ( ( ( fresh_name_pi @ SV234 @ SV628 )
        = $true )
      | ( ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SV628 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3788]) ).

thf(3884,plain,
    ! [SV628: pi,SV471: late_freeRes,SV234: name] :
      ( ( ( ~ ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SV628 ) ) )
        = $false )
      | ( ( fresh_1641682979reeRes @ SV234 @ SV471 )
        = $false )
      | ( ( fresh_name_pi @ SV234 @ SV628 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3789]) ).

thf(3885,plain,
    ! [SV628: pi,SV471: late_freeRes,SV234: name] :
      ( ( ( ~ ~ ( ~ ( fresh_1641682979reeRes @ SV234 @ SV471 )
                | ~ ( fresh_name_pi @ SV234 @ SV628 ) ) )
        = $false )
      | ( ( fresh_1641682979reeRes @ SV234 @ SV471 )
        = $false )
      | ( ( fresh_name_pi @ SV234 @ SV628 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3789]) ).

thf(3886,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3790]) ).

thf(3887,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                          | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                     != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3791]) ).

thf(3888,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                           != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3792]) ).

thf(3889,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
               != ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                           != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
          | ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3793]) ).

thf(3890,plain,
    ! [SV630: name,SV477: name,SV238: name] :
      ( ( ( fresh_name_name @ SV238 @ SV477 )
        = $true )
      | ( ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SV630 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3794]) ).

thf(3891,plain,
    ! [SV477: name,SV630: name,SV238: name] :
      ( ( ( fresh_name_name @ SV238 @ SV630 )
        = $true )
      | ( ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SV630 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3795]) ).

thf(3892,plain,
    ! [SV630: name,SV477: name,SV238: name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SV630 ) ) )
        = $false )
      | ( ( fresh_name_name @ SV238 @ SV477 )
        = $false )
      | ( ( fresh_name_name @ SV238 @ SV630 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3796]) ).

thf(3893,plain,
    ! [SV630: name,SV477: name,SV238: name] :
      ( ( ( ~ ~ ( ~ ( fresh_name_name @ SV238 @ SV477 )
                | ~ ( fresh_name_name @ SV238 @ SV630 ) ) )
        = $false )
      | ( ( fresh_name_name @ SV238 @ SV477 )
        = $false )
      | ( ( fresh_name_name @ SV238 @ SV630 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3796]) ).

thf(3894,plain,
    ! [SV698: list_P227219501e_name,SV479: list_P227219501e_name,SV631: produc367475239e_name,SV240: produc367475239e_name] :
      ( ( ( SV240 != SV631 )
        = $false )
      | ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
          = ( cons_P1213805021e_name @ SV631 @ SV698 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3797]) ).

thf(3895,plain,
    ! [SV631: produc367475239e_name,SV240: produc367475239e_name,SV698: list_P227219501e_name,SV479: list_P227219501e_name] :
      ( ( ( SV479 != SV698 )
        = $false )
      | ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
          = ( cons_P1213805021e_name @ SV631 @ SV698 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3797]) ).

thf(3896,plain,
    ! [SV698: list_P227219501e_name,SV631: produc367475239e_name,SV479: list_P227219501e_name,SV240: produc367475239e_name] :
      ( ( ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
           != ( cons_P1213805021e_name @ SV631 @ SV698 ) )
          | ~ ~ ( ( SV240 != SV631 )
                | ( SV479 != SV698 ) ) )
        = $false )
      | ( ( SV240 = SV631 )
        = $false )
      | ( ( SV479 = SV698 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3798]) ).

thf(3897,plain,
    ! [SV1006: late_residual,SV991: produc1141751126_pi_pi,SV241: produc1141751126_pi_pi > late_residual > $o] :
      ( ( ( SV241 @ SV991 @ SV1006 )
        = $true )
      | ( ( SV241 @ ( sK47_SY1028 @ SV241 ) @ ( late_FreeR @ ( sK45_FreeRes2 @ SV241 ) @ ( sK46_SY1026 @ SV241 ) ) )
        = $false )
      | ( ( SV241 @ ( sK51_SY1034 @ SV241 ) @ ( late_BoundR @ ( sK48_Subject2 @ SV241 ) @ ( sK49_SY1029 @ SV241 ) @ ( sK50_SY1032 @ SV241 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3800]) ).

thf(3898,plain,
    ! [SV632: pi,SV480: pi,SV242: name] :
      ( ( ( fresh_name_pi @ SV242 @ SV480 )
        = $true )
      | ( ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SV632 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3801]) ).

thf(3899,plain,
    ! [SV480: pi,SV632: pi,SV242: name] :
      ( ( ( fresh_name_pi @ SV242 @ SV632 )
        = $true )
      | ( ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SV632 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3802]) ).

thf(3900,plain,
    ! [SV632: pi,SV480: pi,SV242: name] :
      ( ( ( ~ ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SV632 ) ) )
        = $false )
      | ( ( fresh_name_pi @ SV242 @ SV480 )
        = $false )
      | ( ( fresh_name_pi @ SV242 @ SV632 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3803]) ).

thf(3901,plain,
    ! [SV632: pi,SV480: pi,SV242: name] :
      ( ( ( ~ ~ ( ~ ( fresh_name_pi @ SV242 @ SV480 )
                | ~ ( fresh_name_pi @ SV242 @ SV632 ) ) )
        = $false )
      | ( ( fresh_name_pi @ SV242 @ SV480 )
        = $false )
      | ( ( fresh_name_pi @ SV242 @ SV632 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3803]) ).

thf(3902,plain,
    ! [SV699: name,SV481: name,SV633: name,SV243: name] :
      ( ( ( SV243 != SV633 )
        = $false )
      | ( ( ( late_OutputR @ SV243 @ SV481 )
          = ( late_OutputR @ SV633 @ SV699 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3804]) ).

thf(3903,plain,
    ! [SV633: name,SV243: name,SV699: name,SV481: name] :
      ( ( ( SV481 != SV699 )
        = $false )
      | ( ( ( late_OutputR @ SV243 @ SV481 )
          = ( late_OutputR @ SV633 @ SV699 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3804]) ).

thf(3904,plain,
    ! [SV699: name,SV633: name,SV481: name,SV243: name] :
      ( ( ( ( ( late_OutputR @ SV243 @ SV481 )
           != ( late_OutputR @ SV633 @ SV699 ) )
          | ~ ~ ( ( SV243 != SV633 )
                | ( SV481 != SV699 ) ) )
        = $false )
      | ( ( SV243 = SV633 )
        = $false )
      | ( ( SV481 = SV699 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3805]) ).

thf(3905,plain,
    ! [SV1007: late_residual,SV993: product_unit,SV244: product_unit > late_residual > $o] :
      ( ( ( SV244 @ SV993 @ SV1007 )
        = $true )
      | ( ( SV244 @ ( sK54_SY1037 @ SV244 ) @ ( late_FreeR @ ( sK52_FreeRes2 @ SV244 ) @ ( sK53_SY1035 @ SV244 ) ) )
        = $false )
      | ( ( SV244 @ ( sK58_SY1043 @ SV244 ) @ ( late_BoundR @ ( sK55_Subject2 @ SV244 ) @ ( sK56_SY1038 @ SV244 ) @ ( sK57_SY1041 @ SV244 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3807]) ).

thf(3906,plain,
    ! [SV1008: late_residual,SV995: name,SV245: name > late_residual > $o] :
      ( ( ( SV245 @ SV995 @ SV1008 )
        = $true )
      | ( ( SV245 @ ( sK12_SY983 @ SV245 ) @ ( late_FreeR @ ( sK10_FreeRes2 @ SV245 ) @ ( sK11_SY981 @ SV245 ) ) )
        = $false )
      | ( ( SV245 @ ( sK16_SY989 @ SV245 ) @ ( late_BoundR @ ( sK13_Subject2 @ SV245 ) @ ( sK14_SY984 @ SV245 ) @ ( sK15_SY987 @ SV245 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3809]) ).

thf(3907,plain,
    ! [SV482: pi,SV634: list_pi,SV246: name] :
      ( ( ( fresh_name_list_pi @ SV246 @ SV634 )
        = $true )
      | ( ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SV634 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3810]) ).

thf(3908,plain,
    ! [SV634: list_pi,SV482: pi,SV246: name] :
      ( ( ( fresh_name_pi @ SV246 @ SV482 )
        = $true )
      | ( ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SV634 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3811]) ).

thf(3909,plain,
    ! [SV634: list_pi,SV482: pi,SV246: name] :
      ( ( ( ~ ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SV634 ) ) )
        = $false )
      | ( ( fresh_name_list_pi @ SV246 @ SV634 )
        = $false )
      | ( ( fresh_name_pi @ SV246 @ SV482 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3812]) ).

thf(3910,plain,
    ! [SV482: pi,SV634: list_pi,SV246: name] :
      ( ( ( ~ ~ ( ~ ( fresh_name_list_pi @ SV246 @ SV634 )
                | ~ ( fresh_name_pi @ SV246 @ SV482 ) ) )
        = $false )
      | ( ( fresh_name_list_pi @ SV246 @ SV634 )
        = $false )
      | ( ( fresh_name_pi @ SV246 @ SV482 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3812]) ).

thf(3911,plain,
    ! [SV959: pi,SV250: name,SV700: late_subject,SV635: pi,SV488: name,SV770: name] :
      ( ( ( SV770 = SV488 )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV770 @ SV635 )
          | ( SV700
            = ( late_InputS @ SV250 ) )
          | ! [SY2444: late_subject > name > pi > $o] : ( SY2444 @ SV700 @ SV770 @ SV959 ) )
        = $true )
      | ( ( SV770 = SV250 )
        = $true )
      | ( ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SV959 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3813]) ).

thf(3912,plain,
    ! [SV996: pi,SV770: name,SV700: late_subject,SV635: pi,SV488: name,SV250: name] :
      ( ( ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SV996 ) ) )
        = $true )
      | ( ( ( SV770 = SV250 )
          | ( SV770 = SV488 )
          | ~ ( fresh_name_pi @ SV770 @ SV635 )
          | ( SV996
            = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
          | ! [SY2458: late_subject > name > pi > $o] : ( SY2458 @ SV700 @ SV770 @ SV996 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3814]) ).

thf(3913,plain,
    ! [SV997: pi,SV770: name,SV700: late_subject,SV635: pi,SV488: name,SV250: name] :
      ( ( ( ~ ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SV997 ) ) )
        = $true )
      | ( ( ( SV770 = SV250 )
          | ( SV770 = SV488 )
          | ~ ( fresh_name_pi @ SV770 @ SV635 )
          | ! [SY2459: late_subject > name > pi > $o] :
              ( ~ ( SY2459 @ ( late_InputS @ SV250 ) @ SV770 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
              | ( SY2459 @ SV700 @ SV770 @ SV997 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3815]) ).

thf(3914,plain,
    ! [SV636: name,SV489: name,SV251: name] :
      ( ( ( fresh_name_name @ SV251 @ SV489 )
        = $true )
      | ( ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SV636 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3816]) ).

thf(3915,plain,
    ! [SV489: name,SV636: name,SV251: name] :
      ( ( ( fresh_name_name @ SV251 @ SV636 )
        = $true )
      | ( ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SV636 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3817]) ).

thf(3916,plain,
    ! [SV636: name,SV489: name,SV251: name] :
      ( ( ( ~ ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SV636 ) ) )
        = $false )
      | ( ( fresh_name_name @ SV251 @ SV489 )
        = $false )
      | ( ( fresh_name_name @ SV251 @ SV636 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3818]) ).

thf(3917,plain,
    ! [SV636: name,SV489: name,SV251: name] :
      ( ( ( ~ ~ ( ~ ( fresh_name_name @ SV251 @ SV489 )
                | ~ ( fresh_name_name @ SV251 @ SV636 ) ) )
        = $false )
      | ( ( fresh_name_name @ SV251 @ SV489 )
        = $false )
      | ( ( fresh_name_name @ SV251 @ SV636 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3818]) ).

thf(3918,plain,
    ! [SV490: pi,SV701: pi,SV821: pi > $o,SV637: late_freeRes,SV252: name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ SV252 @ SV637 ) )
        = $false )
      | ( ( SV821 @ SV701 )
        = $true )
      | ( ( late_transitions @ ( res @ SV252 @ SV490 ) @ ( late_FreeR @ SV637 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3819]) ).

thf(3919,plain,
    ! [SV490: pi,SV637: late_freeRes,SV701: pi,SV252: name,SV821: pi > $o] :
      ( ( ( ~ ~ ( SV821 @ ( res @ SV252 @ ( sK117_P4 @ SV821 @ SV701 @ SV637 @ SV490 @ SV252 ) ) ) )
        = $false )
      | ( ( SV821 @ SV701 )
        = $true )
      | ( ( late_transitions @ ( res @ SV252 @ SV490 ) @ ( late_FreeR @ SV637 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3819]) ).

thf(3920,plain,
    ! [SV253: name,SV638: late_subject,SV702: name,SV771: pi,SV981: late_subject > pi > $o,SV491: pi] :
      ( ( ( ~ ( late_transitions @ SV491 @ ( late_FreeR @ ( late_OutputR @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) @ SV253 ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
          | ~ ~ ( ~ ( ( ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 )
                     != SV253 ) )
                | ~ ~ ( ( SV638
                       != ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
                      | ~ ~ ( SV981 @ ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV702 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                    | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
          | ( SV981 @ SV638 @ SV771 ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3820]) ).

thf(3921,plain,
    ! [SV703: pi,SV495: pi,SV639: pi,SV255: pi] :
      ( ( ( SV255 != SV639 )
        = $false )
      | ( ( ( par @ SV255 @ SV495 )
          = ( par @ SV639 @ SV703 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3821]) ).

thf(3922,plain,
    ! [SV639: pi,SV255: pi,SV703: pi,SV495: pi] :
      ( ( ( SV495 != SV703 )
        = $false )
      | ( ( ( par @ SV255 @ SV495 )
          = ( par @ SV639 @ SV703 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3821]) ).

thf(3923,plain,
    ! [SV703: pi,SV639: pi,SV495: pi,SV255: pi] :
      ( ( ( ( ( par @ SV255 @ SV495 )
           != ( par @ SV639 @ SV703 ) )
          | ~ ~ ( ( SV255 != SV639 )
                | ( SV495 != SV703 ) ) )
        = $false )
      | ( ( SV255 = SV639 )
        = $false )
      | ( ( SV495 = SV703 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3822]) ).

thf(3924,plain,
    ! [SV496: set_Pr1834926343_pi_pi,SV640: pi,SV895: pi,SV825: name,SV704: late_subject,SV256: pi] :
      ( ( ( ~ ( late_transitions @ SV256 @ ( late_BoundR @ SV704 @ SV825 @ ( sK92_P4 @ SV895 @ SV825 @ SV704 @ SV640 @ SV496 @ SV256 ) ) )
          | ~ ( strong2129052853vative @ ( sK92_P4 @ SV895 @ SV825 @ SV704 @ SV640 @ SV496 @ SV256 ) @ SV895 @ SV704 @ SV825 @ SV496 ) )
        = $false )
      | ( ( fresh_name_pi @ SV825 @ SV256 )
        = $false )
      | ( ( late_transitions @ SV640 @ ( late_BoundR @ SV704 @ SV825 @ SV895 ) )
        = $false )
      | ( ( strong743114133lation @ SV256 @ SV496 @ SV640 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3823]) ).

thf(3925,plain,
    ! [SV705: pi,SV497: pi,SV641: late_freeRes,SV257: late_freeRes] :
      ( ( ( SV257 != SV641 )
        = $false )
      | ( ( ( late_FreeR @ SV257 @ SV497 )
          = ( late_FreeR @ SV641 @ SV705 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3824]) ).

thf(3926,plain,
    ! [SV641: late_freeRes,SV257: late_freeRes,SV705: pi,SV497: pi] :
      ( ( ( SV497 != SV705 )
        = $false )
      | ( ( ( late_FreeR @ SV257 @ SV497 )
          = ( late_FreeR @ SV641 @ SV705 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3824]) ).

thf(3927,plain,
    ! [SV705: pi,SV641: late_freeRes,SV497: pi,SV257: late_freeRes] :
      ( ( ( ( ( late_FreeR @ SV257 @ SV497 )
           != ( late_FreeR @ SV641 @ SV705 ) )
          | ~ ~ ( ( SV257 != SV641 )
                | ( SV497 != SV705 ) ) )
        = $false )
      | ( ( SV257 = SV641 )
        = $false )
      | ( ( SV497 = SV705 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3825]) ).

thf(3928,plain,
    ! [SV258: name,SV498: pi,SV642: late_freeRes,SV706: pi] :
      ( ( ( ~ ( late_transitions @ ( sK113_P5 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( late_FreeR @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK115_SY1111 @ SV706 @ SV642 @ SV498 @ SV258 ) ) )
          | ~ ( fresh_1641682979reeRes @ ( sK116_SY1113 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV258 @ SV498 ) @ ( late_FreeR @ SV642 @ SV706 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3827]) ).

thf(3929,plain,
    ! [SV1009: late_residual,SV999: product_unit,SV259: product_unit > late_residual > $o] :
      ( ( ( SV259 @ SV999 @ SV1009 )
        = $true )
      | ( ( SV259 @ ( sK26_SY1001 @ SV259 ) @ ( late_FreeR @ ( sK24_FreeRes2 @ SV259 ) @ ( sK25_SY999 @ SV259 ) ) )
        = $false )
      | ( ( SV259 @ ( sK30_SY1007 @ SV259 ) @ ( late_BoundR @ ( sK27_Subject2 @ SV259 ) @ ( sK28_SY1002 @ SV259 ) @ ( sK29_SY1005 @ SV259 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3829]) ).

thf(3930,plain,
    ! [SV1010: late_residual,SV1001: pi,SV260: pi > late_residual > $o] :
      ( ( ( SV260 @ SV1001 @ SV1010 )
        = $true )
      | ( ( SV260 @ ( sK5_SY974 @ SV260 ) @ ( late_FreeR @ ( sK3_FreeRes2 @ SV260 ) @ ( sK4_SY972 @ SV260 ) ) )
        = $false )
      | ( ( SV260 @ ( sK9_SY980 @ SV260 ) @ ( late_BoundR @ ( sK6_Subject2 @ SV260 ) @ ( sK7_SY975 @ SV260 ) @ ( sK8_SY978 @ SV260 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3831]) ).

thf(3931,plain,
    ! [SV707: name,SV503: name,SV643: name,SV264: name] :
      ( ( ( SV264 != SV643 )
        = $false )
      | ( ( ( late_OutputR @ SV264 @ SV503 )
          = ( late_OutputR @ SV643 @ SV707 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3833]) ).

thf(3932,plain,
    ! [SV643: name,SV264: name,SV707: name,SV503: name] :
      ( ( ( SV503 != SV707 )
        = $false )
      | ( ( ( late_OutputR @ SV264 @ SV503 )
          = ( late_OutputR @ SV643 @ SV707 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3833]) ).

thf(3933,plain,
    ! [SV707: name,SV643: name,SV503: name,SV264: name] :
      ( ( ( ( ( late_OutputR @ SV264 @ SV503 )
           != ( late_OutputR @ SV643 @ SV707 ) )
          | ~ ~ ( ( SV264 != SV643 )
                | ( SV503 != SV707 ) ) )
        = $false )
      | ( ( SV264 = SV643 )
        = $false )
      | ( ( SV503 = SV707 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3834]) ).

thf(3934,plain,
    ! [SV1011: late_residual,SV1003: name,SV265: name > late_residual > $o] :
      ( ( ( SV265 @ SV1003 @ SV1011 )
        = $true )
      | ( ( SV265 @ ( sK40_SY1019 @ SV265 ) @ ( late_FreeR @ ( sK38_FreeRes2 @ SV265 ) @ ( sK39_SY1017 @ SV265 ) ) )
        = $false )
      | ( ( SV265 @ ( sK44_SY1025 @ SV265 ) @ ( late_BoundR @ ( sK41_Subject2 @ SV265 ) @ ( sK42_SY1020 @ SV265 ) @ ( sK43_SY1023 @ SV265 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3836]) ).

thf(3935,plain,
    ! [SV659: pi,SV98: pi,SV793: name,SV353: late_subject,SV541: name] :
      ( ( ( fresh_717452603ubject @ SV541 @ SV353 )
        = $false )
      | ( ( late_transitions @ ( res @ SV793 @ SV98 ) @ ( late_BoundR @ SV353 @ SV541 @ ( res @ SV793 @ SV659 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV541 @ SV98 )
        = $false )
      | ( ( SV793 = SV541 )
        = $true )
      | ( ( fresh_717452603ubject @ SV793 @ SV353 )
        = $false )
      | ( ( late_transitions @ SV98 @ ( late_BoundR @ SV353 @ SV541 @ SV659 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3837]) ).

thf(3936,plain,
    ! [SV135: $o] :
      ( ( ( ~ SV135
          | ~ $false )
        = $false )
      | ( SV135 = $false )
      | ( SV135 = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3840]) ).

thf(3937,plain,
    ! [SV135: $o] :
      ( ( ( ~ SV135
          | ~ $false )
        = $false )
      | ( $false = $false )
      | ( SV135 = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3841]) ).

thf(3938,plain,
    ! [SV135: $o] :
      ( ( ( ~ SV135
          | ~ $false )
        = $false )
      | ( SV135 = $false )
      | ( SV135 = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3842]) ).

thf(3939,plain,
    ! [SV135: $o] :
      ( ( ( ~ SV135
          | ~ $false )
        = $false )
      | ( $false = $false )
      | ( SV135 = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3843]) ).

thf(3940,plain,
    ! [SV135: $o] :
      ( ( ( ~ SV135
          | ~ $false )
        = $false )
      | ( SV135 = $false )
      | ( $true = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3844]) ).

thf(3941,plain,
    ! [SV135: $o] :
      ( ( ( ~ SV135
          | ~ $false )
        = $false )
      | ( $false = $false )
      | ( $true = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3845]) ).

thf(3942,plain,
    ! [SV135: $o] :
      ( ( ( ~ SV135
          | ~ $false )
        = $false )
      | ( SV135 = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3846]) ).

thf(3943,plain,
    ! [SV135: $o] :
      ( ( ( ~ SV135
          | ~ $false )
        = $false )
      | ( $false = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3847]) ).

thf(3944,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3848]) ).

thf(3945,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3849]) ).

thf(3946,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3850]) ).

thf(3947,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3851]) ).

thf(3948,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3852]) ).

thf(3949,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3853]) ).

thf(3950,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3854]) ).

thf(3951,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3855]) ).

thf(3952,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3856]) ).

thf(3953,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3857]) ).

thf(3954,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3858]) ).

thf(3955,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3859]) ).

thf(3956,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3860]) ).

thf(3957,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3861]) ).

thf(3958,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3862]) ).

thf(3959,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3863]) ).

thf(3960,plain,
    ! [SV925: pi,SV680: pi,SV436: name,SV190: pi,SV609: name,SV754: pi,SV834: name] :
      ( ( ( ~ ( fresh_name_pi @ SV834 @ SV754 ) )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV609 @ SV190 )
          | ~ ( fresh_name_pi @ SV609 @ SV754 )
          | ( SV834 = SV436 )
          | ~ ( fresh_name_pi @ SV834 @ SV680 )
          | ( SV609 = SV436 )
          | ~ ( fresh_name_pi @ SV609 @ SV925 )
          | ( SV834 = SV609 )
          | ( late_transitions @ ( par @ SV190 @ SV754 ) @ ( late_FreeR @ late_TauR @ ( res @ SV609 @ ( par @ SV680 @ ( subs @ SV925 @ SV834 @ SV609 ) ) ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV834 @ SV190 )
        = $false )
      | ( ( late_transitions @ SV754 @ ( late_BoundR @ ( late_InputS @ SV436 ) @ SV834 @ SV925 ) )
        = $false )
      | ( ( late_transitions @ SV190 @ ( late_BoundR @ ( late_BoundOutputS @ SV436 ) @ SV609 @ SV680 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3864]) ).

thf(3961,plain,
    ! [SV681: pi,SV926: pi,SV437: name,SV191: pi,SV835: name,SV755: pi,SV610: name] :
      ( ( ( ~ ( fresh_name_pi @ SV610 @ SV755 ) )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV835 @ SV191 )
          | ~ ( fresh_name_pi @ SV835 @ SV755 )
          | ( SV610 = SV437 )
          | ~ ( fresh_name_pi @ SV610 @ SV926 )
          | ( SV835 = SV437 )
          | ~ ( fresh_name_pi @ SV835 @ SV681 )
          | ( SV610 = SV835 )
          | ( late_transitions @ ( par @ SV191 @ SV755 ) @ ( late_FreeR @ late_TauR @ ( res @ SV835 @ ( par @ ( subs @ SV681 @ SV610 @ SV835 ) @ SV926 ) ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV610 @ SV191 )
        = $false )
      | ( ( late_transitions @ SV755 @ ( late_BoundR @ ( late_BoundOutputS @ SV437 ) @ SV835 @ SV926 ) )
        = $false )
      | ( ( late_transitions @ SV191 @ ( late_BoundR @ ( late_InputS @ SV437 ) @ SV610 @ SV681 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3865]) ).

thf(3962,plain,
    ! [SV929: pi,SV194: pi,SV684: pi,SV613: name,SV440: name,SV758: pi,SV838: name] :
      ( ( ( ~ ( fresh_name_pi @ SV838 @ SV758 ) )
        = $true )
      | ( ( ( SV838 = SV440 )
          | ( SV838 = SV613 )
          | ~ ( fresh_name_pi @ SV838 @ SV684 )
          | ( late_transitions @ ( par @ SV194 @ SV758 ) @ ( late_FreeR @ late_TauR @ ( par @ SV684 @ ( subs @ SV929 @ SV838 @ SV613 ) ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV838 @ SV194 )
        = $false )
      | ( ( late_transitions @ SV758 @ ( late_BoundR @ ( late_InputS @ SV440 ) @ SV838 @ SV929 ) )
        = $false )
      | ( ( late_transitions @ SV194 @ ( late_FreeR @ ( late_OutputR @ SV440 @ SV613 ) @ SV684 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3868]) ).

thf(3963,plain,
    ! [SV685: pi,SV195: pi,SV930: pi,SV839: name,SV441: name,SV759: pi,SV614: name] :
      ( ( ( ~ ( fresh_name_pi @ SV614 @ SV759 ) )
        = $true )
      | ( ( ( SV614 = SV441 )
          | ( SV614 = SV839 )
          | ~ ( fresh_name_pi @ SV614 @ SV930 )
          | ( late_transitions @ ( par @ SV195 @ SV759 ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ SV685 @ SV614 @ SV839 ) @ SV930 ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV614 @ SV195 )
        = $false )
      | ( ( late_transitions @ SV759 @ ( late_FreeR @ ( late_OutputR @ SV441 @ SV839 ) @ SV930 ) )
        = $false )
      | ( ( late_transitions @ SV195 @ ( late_BoundR @ ( late_InputS @ SV441 ) @ SV614 @ SV685 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3869]) ).

thf(3964,plain,
    ! [SV625: late_subject,SV695: name,SV767: pi,SV465: pi,SV229: pi] :
      ( ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3872]) ).

thf(3965,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
               != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                    | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) )
        = $true )
      | ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3873]) ).

thf(3966,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( ~ ( ( ( par @ SV229 @ SV465 )
               != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                     != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3874]) ).

thf(3967,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                    | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                          | ~ ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( par @ SV229 @ SV465 )
               != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                     != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3875]) ).

thf(3968,plain,
    ! [SV466: pi,SV768: pi,SV987: pi > $o,SV696: name,SV626: late_subject,SV230: pi] :
      ( ( ( ~ ( late_transitions @ SV230 @ ( late_BoundR @ SV626 @ SV696 @ ( sK95_P4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
          | ~ ~ ( SV987 @ ( par @ ( sK95_P4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) @ SV466 ) ) )
        = $false )
      | ( ( ~ ( ~ ( late_transitions @ SV466 @ ( late_BoundR @ SV626 @ SV696 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
              | ~ ~ ( SV987 @ ( par @ SV230 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) ) )
          | ( SV987 @ SV768 ) )
        = $true )
      | ( ( fresh_name_pi @ SV696 @ SV466 )
        = $false )
      | ( ( fresh_name_pi @ SV696 @ SV230 )
        = $false )
      | ( ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SV626 @ SV696 @ SV768 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3876]) ).

thf(3969,plain,
    ! [SV627: late_subject,SV697: name,SV769: pi,SV467: pi,SV232: name] :
      ( ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3878]) ).

thf(3970,plain,
    ! [SV232: name,SV467: pi,SV769: pi,SV697: name,SV627: late_subject] :
      ( ( ( ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
               != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                    | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                          | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                     != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3879]) ).

thf(3971,plain,
    ! [SV232: name,SV467: pi,SV769: pi,SV697: name,SV627: late_subject] :
      ( ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV232 @ SV467 )
               != ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                     != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                           != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3880]) ).

thf(3972,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                   != ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV232 @ SV467 )
               != ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                     != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                           != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3881]) ).

thf(3973,plain,
    ! [SV628: pi,SV471: late_freeRes,SV234: name] :
      ( ( ( fresh_81631222sidual @ SV234 @ ( late_FreeR @ SV471 @ SV628 ) )
        = $true )
      | ( ( fresh_1641682979reeRes @ SV234 @ SV471 )
        = $false )
      | ( ( fresh_name_pi @ SV234 @ SV628 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3884]) ).

thf(3974,plain,
    ! [SV628: pi,SV471: late_freeRes,SV234: name] :
      ( ( ( ~ ( ~ ( fresh_1641682979reeRes @ SV234 @ SV471 )
              | ~ ( fresh_name_pi @ SV234 @ SV628 ) ) )
        = $true )
      | ( ( fresh_1641682979reeRes @ SV234 @ SV471 )
        = $false )
      | ( ( fresh_name_pi @ SV234 @ SV628 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3885]) ).

thf(3975,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3886]) ).

thf(3976,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                      | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                 != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                  | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3887]) ).

thf(3977,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                            | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                       != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                  | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                        | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3888]) ).

thf(3978,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                           != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
          | ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3889]) ).

thf(3979,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
               != ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                           != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
          | ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3889]) ).

thf(3980,plain,
    ! [SV630: name,SV477: name,SV238: name] :
      ( ( ( fresh_1641682979reeRes @ SV238 @ ( late_OutputR @ SV477 @ SV630 ) )
        = $true )
      | ( ( fresh_name_name @ SV238 @ SV477 )
        = $false )
      | ( ( fresh_name_name @ SV238 @ SV630 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3892]) ).

thf(3981,plain,
    ! [SV630: name,SV477: name,SV238: name] :
      ( ( ( ~ ( ~ ( fresh_name_name @ SV238 @ SV477 )
              | ~ ( fresh_name_name @ SV238 @ SV630 ) ) )
        = $true )
      | ( ( fresh_name_name @ SV238 @ SV477 )
        = $false )
      | ( ( fresh_name_name @ SV238 @ SV630 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3893]) ).

thf(3982,plain,
    ! [SV698: list_P227219501e_name,SV479: list_P227219501e_name,SV631: produc367475239e_name,SV240: produc367475239e_name] :
      ( ( ( SV240 = SV631 )
        = $true )
      | ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
          = ( cons_P1213805021e_name @ SV631 @ SV698 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3894]) ).

thf(3983,plain,
    ! [SV631: produc367475239e_name,SV240: produc367475239e_name,SV698: list_P227219501e_name,SV479: list_P227219501e_name] :
      ( ( ( SV479 = SV698 )
        = $true )
      | ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
          = ( cons_P1213805021e_name @ SV631 @ SV698 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3895]) ).

thf(3984,plain,
    ! [SV698: list_P227219501e_name,SV631: produc367475239e_name,SV479: list_P227219501e_name,SV240: produc367475239e_name] :
      ( ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
         != ( cons_P1213805021e_name @ SV631 @ SV698 ) )
        = $false )
      | ( ( SV240 = SV631 )
        = $false )
      | ( ( SV479 = SV698 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3896]) ).

thf(3985,plain,
    ! [SV698: list_P227219501e_name,SV479: list_P227219501e_name,SV631: produc367475239e_name,SV240: produc367475239e_name] :
      ( ( ( ~ ~ ( ( SV240 != SV631 )
                | ( SV479 != SV698 ) ) )
        = $false )
      | ( ( SV240 = SV631 )
        = $false )
      | ( ( SV479 = SV698 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3896]) ).

thf(3986,plain,
    ! [SV632: pi,SV480: pi,SV242: name] :
      ( ( ( fresh_name_pi @ SV242 @ ( par @ SV480 @ SV632 ) )
        = $true )
      | ( ( fresh_name_pi @ SV242 @ SV480 )
        = $false )
      | ( ( fresh_name_pi @ SV242 @ SV632 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3900]) ).

thf(3987,plain,
    ! [SV632: pi,SV480: pi,SV242: name] :
      ( ( ( ~ ( ~ ( fresh_name_pi @ SV242 @ SV480 )
              | ~ ( fresh_name_pi @ SV242 @ SV632 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV242 @ SV480 )
        = $false )
      | ( ( fresh_name_pi @ SV242 @ SV632 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3901]) ).

thf(3988,plain,
    ! [SV699: name,SV481: name,SV633: name,SV243: name] :
      ( ( ( SV243 = SV633 )
        = $true )
      | ( ( ( late_OutputR @ SV243 @ SV481 )
          = ( late_OutputR @ SV633 @ SV699 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3902]) ).

thf(3989,plain,
    ! [SV633: name,SV243: name,SV699: name,SV481: name] :
      ( ( ( SV481 = SV699 )
        = $true )
      | ( ( ( late_OutputR @ SV243 @ SV481 )
          = ( late_OutputR @ SV633 @ SV699 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3903]) ).

thf(3990,plain,
    ! [SV699: name,SV633: name,SV481: name,SV243: name] :
      ( ( ( ( late_OutputR @ SV243 @ SV481 )
         != ( late_OutputR @ SV633 @ SV699 ) )
        = $false )
      | ( ( SV243 = SV633 )
        = $false )
      | ( ( SV481 = SV699 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3904]) ).

thf(3991,plain,
    ! [SV699: name,SV481: name,SV633: name,SV243: name] :
      ( ( ( ~ ~ ( ( SV243 != SV633 )
                | ( SV481 != SV699 ) ) )
        = $false )
      | ( ( SV243 = SV633 )
        = $false )
      | ( ( SV481 = SV699 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3904]) ).

thf(3992,plain,
    ! [SV634: list_pi,SV482: pi,SV246: name] :
      ( ( ( fresh_name_list_pi @ SV246 @ ( cons_pi @ SV482 @ SV634 ) )
        = $true )
      | ( ( fresh_name_list_pi @ SV246 @ SV634 )
        = $false )
      | ( ( fresh_name_pi @ SV246 @ SV482 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3909]) ).

thf(3993,plain,
    ! [SV482: pi,SV634: list_pi,SV246: name] :
      ( ( ( ~ ( ~ ( fresh_name_list_pi @ SV246 @ SV634 )
              | ~ ( fresh_name_pi @ SV246 @ SV482 ) ) )
        = $true )
      | ( ( fresh_name_list_pi @ SV246 @ SV634 )
        = $false )
      | ( ( fresh_name_pi @ SV246 @ SV482 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3910]) ).

thf(3994,plain,
    ! [SV488: name,SV959: pi,SV250: name,SV700: late_subject,SV635: pi,SV770: name] :
      ( ( ( ~ ( fresh_name_pi @ SV770 @ SV635 ) )
        = $true )
      | ( ( ( SV700
            = ( late_InputS @ SV250 ) )
          | ! [SY2444: late_subject > name > pi > $o] : ( SY2444 @ SV700 @ SV770 @ SV959 ) )
        = $true )
      | ( ( SV770 = SV488 )
        = $true )
      | ( ( SV770 = SV250 )
        = $true )
      | ( ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SV959 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3911]) ).

thf(3995,plain,
    ! [SV996: pi,SV770: name,SV700: late_subject,SV635: pi,SV488: name,SV250: name] :
      ( ( ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SV996 ) )
        = $false )
      | ( ( ( SV770 = SV250 )
          | ( SV770 = SV488 )
          | ~ ( fresh_name_pi @ SV770 @ SV635 )
          | ( SV996
            = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
          | ! [SY2458: late_subject > name > pi > $o] : ( SY2458 @ SV700 @ SV770 @ SV996 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3912]) ).

thf(3996,plain,
    ! [SV997: pi,SV770: name,SV700: late_subject,SV635: pi,SV488: name,SV250: name] :
      ( ( ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SV997 ) )
        = $false )
      | ( ( ( SV770 = SV250 )
          | ( SV770 = SV488 )
          | ~ ( fresh_name_pi @ SV770 @ SV635 )
          | ! [SY2459: late_subject > name > pi > $o] :
              ( ~ ( SY2459 @ ( late_InputS @ SV250 ) @ SV770 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
              | ( SY2459 @ SV700 @ SV770 @ SV997 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3913]) ).

thf(3997,plain,
    ! [SV636: name,SV489: name,SV251: name] :
      ( ( ( fresh_441084397e_name @ SV251 @ ( produc1570949143e_name @ SV489 @ SV636 ) )
        = $true )
      | ( ( fresh_name_name @ SV251 @ SV489 )
        = $false )
      | ( ( fresh_name_name @ SV251 @ SV636 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3916]) ).

thf(3998,plain,
    ! [SV636: name,SV489: name,SV251: name] :
      ( ( ( ~ ( ~ ( fresh_name_name @ SV251 @ SV489 )
              | ~ ( fresh_name_name @ SV251 @ SV636 ) ) )
        = $true )
      | ( ( fresh_name_name @ SV251 @ SV489 )
        = $false )
      | ( ( fresh_name_name @ SV251 @ SV636 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3917]) ).

thf(3999,plain,
    ! [SV490: pi,SV701: pi,SV821: pi > $o,SV637: late_freeRes,SV252: name] :
      ( ( ( fresh_1641682979reeRes @ SV252 @ SV637 )
        = $true )
      | ( ( SV821 @ SV701 )
        = $true )
      | ( ( late_transitions @ ( res @ SV252 @ SV490 ) @ ( late_FreeR @ SV637 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3918]) ).

thf(4000,plain,
    ! [SV490: pi,SV637: late_freeRes,SV701: pi,SV252: name,SV821: pi > $o] :
      ( ( ( ~ ( SV821 @ ( res @ SV252 @ ( sK117_P4 @ SV821 @ SV701 @ SV637 @ SV490 @ SV252 ) ) ) )
        = $true )
      | ( ( SV821 @ SV701 )
        = $true )
      | ( ( late_transitions @ ( res @ SV252 @ SV490 ) @ ( late_FreeR @ SV637 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3919]) ).

thf(4001,plain,
    ! [SV253: name,SV638: late_subject,SV702: name,SV771: pi,SV981: late_subject > pi > $o,SV491: pi] :
      ( ( ( ~ ( late_transitions @ SV491 @ ( late_FreeR @ ( late_OutputR @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) @ SV253 ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                    | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
          | ( SV981 @ SV638 @ SV771 ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3920]) ).

thf(4002,plain,
    ! [SV253: name,SV491: pi,SV638: late_subject,SV702: name,SV771: pi,SV981: late_subject > pi > $o] :
      ( ( ( ~ ~ ( ~ ( ( ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 )
                     != SV253 ) )
                | ~ ~ ( ( SV638
                       != ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
                      | ~ ~ ( SV981 @ ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV702 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                    | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
          | ( SV981 @ SV638 @ SV771 ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3920]) ).

thf(4003,plain,
    ! [SV703: pi,SV495: pi,SV639: pi,SV255: pi] :
      ( ( ( SV255 = SV639 )
        = $true )
      | ( ( ( par @ SV255 @ SV495 )
          = ( par @ SV639 @ SV703 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3921]) ).

thf(4004,plain,
    ! [SV639: pi,SV255: pi,SV703: pi,SV495: pi] :
      ( ( ( SV495 = SV703 )
        = $true )
      | ( ( ( par @ SV255 @ SV495 )
          = ( par @ SV639 @ SV703 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3922]) ).

thf(4005,plain,
    ! [SV703: pi,SV639: pi,SV495: pi,SV255: pi] :
      ( ( ( ( par @ SV255 @ SV495 )
         != ( par @ SV639 @ SV703 ) )
        = $false )
      | ( ( SV255 = SV639 )
        = $false )
      | ( ( SV495 = SV703 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3923]) ).

thf(4006,plain,
    ! [SV703: pi,SV495: pi,SV639: pi,SV255: pi] :
      ( ( ( ~ ~ ( ( SV255 != SV639 )
                | ( SV495 != SV703 ) ) )
        = $false )
      | ( ( SV255 = SV639 )
        = $false )
      | ( ( SV495 = SV703 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3923]) ).

thf(4007,plain,
    ! [SV496: set_Pr1834926343_pi_pi,SV640: pi,SV895: pi,SV825: name,SV704: late_subject,SV256: pi] :
      ( ( ( ~ ( late_transitions @ SV256 @ ( late_BoundR @ SV704 @ SV825 @ ( sK92_P4 @ SV895 @ SV825 @ SV704 @ SV640 @ SV496 @ SV256 ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ SV825 @ SV256 )
        = $false )
      | ( ( late_transitions @ SV640 @ ( late_BoundR @ SV704 @ SV825 @ SV895 ) )
        = $false )
      | ( ( strong743114133lation @ SV256 @ SV496 @ SV640 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3924]) ).

thf(4008,plain,
    ! [SV256: pi,SV496: set_Pr1834926343_pi_pi,SV640: pi,SV704: late_subject,SV825: name,SV895: pi] :
      ( ( ( ~ ( strong2129052853vative @ ( sK92_P4 @ SV895 @ SV825 @ SV704 @ SV640 @ SV496 @ SV256 ) @ SV895 @ SV704 @ SV825 @ SV496 ) )
        = $false )
      | ( ( fresh_name_pi @ SV825 @ SV256 )
        = $false )
      | ( ( late_transitions @ SV640 @ ( late_BoundR @ SV704 @ SV825 @ SV895 ) )
        = $false )
      | ( ( strong743114133lation @ SV256 @ SV496 @ SV640 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3924]) ).

thf(4009,plain,
    ! [SV705: pi,SV497: pi,SV641: late_freeRes,SV257: late_freeRes] :
      ( ( ( SV257 = SV641 )
        = $true )
      | ( ( ( late_FreeR @ SV257 @ SV497 )
          = ( late_FreeR @ SV641 @ SV705 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3925]) ).

thf(4010,plain,
    ! [SV641: late_freeRes,SV257: late_freeRes,SV705: pi,SV497: pi] :
      ( ( ( SV497 = SV705 )
        = $true )
      | ( ( ( late_FreeR @ SV257 @ SV497 )
          = ( late_FreeR @ SV641 @ SV705 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3926]) ).

thf(4011,plain,
    ! [SV705: pi,SV641: late_freeRes,SV497: pi,SV257: late_freeRes] :
      ( ( ( ( late_FreeR @ SV257 @ SV497 )
         != ( late_FreeR @ SV641 @ SV705 ) )
        = $false )
      | ( ( SV257 = SV641 )
        = $false )
      | ( ( SV497 = SV705 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3927]) ).

thf(4012,plain,
    ! [SV705: pi,SV497: pi,SV641: late_freeRes,SV257: late_freeRes] :
      ( ( ( ~ ~ ( ( SV257 != SV641 )
                | ( SV497 != SV705 ) ) )
        = $false )
      | ( ( SV257 = SV641 )
        = $false )
      | ( ( SV497 = SV705 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3927]) ).

thf(4013,plain,
    ! [SV258: name,SV498: pi,SV642: late_freeRes,SV706: pi] :
      ( ( ( ~ ( late_transitions @ ( sK113_P5 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( late_FreeR @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK115_SY1111 @ SV706 @ SV642 @ SV498 @ SV258 ) ) ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV258 @ SV498 ) @ ( late_FreeR @ SV642 @ SV706 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3928]) ).

thf(4014,plain,
    ! [SV258: name,SV498: pi,SV642: late_freeRes,SV706: pi] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( sK116_SY1113 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV258 @ SV498 ) @ ( late_FreeR @ SV642 @ SV706 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3928]) ).

thf(4015,plain,
    ! [SV707: name,SV503: name,SV643: name,SV264: name] :
      ( ( ( SV264 = SV643 )
        = $true )
      | ( ( ( late_OutputR @ SV264 @ SV503 )
          = ( late_OutputR @ SV643 @ SV707 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3931]) ).

thf(4016,plain,
    ! [SV643: name,SV264: name,SV707: name,SV503: name] :
      ( ( ( SV503 = SV707 )
        = $true )
      | ( ( ( late_OutputR @ SV264 @ SV503 )
          = ( late_OutputR @ SV643 @ SV707 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3932]) ).

thf(4017,plain,
    ! [SV707: name,SV643: name,SV503: name,SV264: name] :
      ( ( ( ( late_OutputR @ SV264 @ SV503 )
         != ( late_OutputR @ SV643 @ SV707 ) )
        = $false )
      | ( ( SV264 = SV643 )
        = $false )
      | ( ( SV503 = SV707 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3933]) ).

thf(4018,plain,
    ! [SV707: name,SV503: name,SV643: name,SV264: name] :
      ( ( ( ~ ~ ( ( SV264 != SV643 )
                | ( SV503 != SV707 ) ) )
        = $false )
      | ( ( SV264 = SV643 )
        = $false )
      | ( ( SV503 = SV707 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3933]) ).

thf(4019,plain,
    ! [SV135: $o] :
      ( ( ( ~ SV135 ) = $false )
      | ( SV135 = $false )
      | ( SV135 = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3936]) ).

thf(4020,plain,
    ! [SV135: $o] :
      ( ( ( ~ $false ) = $false )
      | ( SV135 = $false )
      | ( SV135 = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3936]) ).

thf(4021,plain,
    ! [SV135: $o] :
      ( ( ( ~ SV135 ) = $false )
      | ( $false = $false )
      | ( SV135 = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3937]) ).

thf(4022,plain,
    ! [SV135: $o] :
      ( ( ( ~ $false ) = $false )
      | ( $false = $false )
      | ( SV135 = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3937]) ).

thf(4023,plain,
    ! [SV135: $o] :
      ( ( ( ~ SV135 ) = $false )
      | ( SV135 = $false )
      | ( SV135 = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3938]) ).

thf(4024,plain,
    ! [SV135: $o] :
      ( ( ( ~ $false ) = $false )
      | ( SV135 = $false )
      | ( SV135 = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3938]) ).

thf(4025,plain,
    ! [SV135: $o] :
      ( ( ( ~ SV135 ) = $false )
      | ( $false = $false )
      | ( SV135 = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3939]) ).

thf(4026,plain,
    ! [SV135: $o] :
      ( ( ( ~ $false ) = $false )
      | ( $false = $false )
      | ( SV135 = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3939]) ).

thf(4027,plain,
    ! [SV135: $o] :
      ( ( ( ~ SV135 ) = $false )
      | ( SV135 = $false )
      | ( $true = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3940]) ).

thf(4028,plain,
    ! [SV135: $o] :
      ( ( ( ~ $false ) = $false )
      | ( SV135 = $false )
      | ( $true = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3940]) ).

thf(4029,plain,
    ! [SV135: $o] :
      ( ( ( ~ SV135 ) = $false )
      | ( $false = $false )
      | ( $true = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3941]) ).

thf(4030,plain,
    ! [SV135: $o] :
      ( ( ( ~ $false ) = $false )
      | ( $false = $false )
      | ( $true = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3941]) ).

thf(4031,plain,
    ! [SV135: $o] :
      ( ( ( ~ SV135 ) = $false )
      | ( SV135 = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3942]) ).

thf(4032,plain,
    ! [SV135: $o] :
      ( ( ( ~ $false ) = $false )
      | ( SV135 = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3942]) ).

thf(4033,plain,
    ! [SV135: $o] :
      ( ( ( ~ SV135 ) = $false )
      | ( $false = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3943]) ).

thf(4034,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3943]) ).

thf(4035,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3944]) ).

thf(4036,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3944]) ).

thf(4037,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3945]) ).

thf(4038,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3945]) ).

thf(4039,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3946]) ).

thf(4040,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3946]) ).

thf(4041,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3947]) ).

thf(4042,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3947]) ).

thf(4043,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3948]) ).

thf(4044,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3948]) ).

thf(4045,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3949]) ).

thf(4046,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3949]) ).

thf(4047,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3950]) ).

thf(4048,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3950]) ).

thf(4049,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3951]) ).

thf(4050,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3951]) ).

thf(4051,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3952]) ).

thf(4052,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3952]) ).

thf(4053,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3953]) ).

thf(4054,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3953]) ).

thf(4055,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3954]) ).

thf(4056,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3954]) ).

thf(4057,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3955]) ).

thf(4058,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3955]) ).

thf(4059,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3956]) ).

thf(4060,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3956]) ).

thf(4061,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3957]) ).

thf(4062,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3957]) ).

thf(4063,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3958]) ).

thf(4064,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3958]) ).

thf(4065,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3959]) ).

thf(4066,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3959]) ).

thf(4067,plain,
    ! [SV925: pi,SV680: pi,SV436: name,SV190: pi,SV609: name,SV754: pi,SV834: name] :
      ( ( ( fresh_name_pi @ SV834 @ SV754 )
        = $false )
      | ( ( ~ ( fresh_name_pi @ SV609 @ SV190 )
          | ~ ( fresh_name_pi @ SV609 @ SV754 )
          | ( SV834 = SV436 )
          | ~ ( fresh_name_pi @ SV834 @ SV680 )
          | ( SV609 = SV436 )
          | ~ ( fresh_name_pi @ SV609 @ SV925 )
          | ( SV834 = SV609 )
          | ( late_transitions @ ( par @ SV190 @ SV754 ) @ ( late_FreeR @ late_TauR @ ( res @ SV609 @ ( par @ SV680 @ ( subs @ SV925 @ SV834 @ SV609 ) ) ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV834 @ SV190 )
        = $false )
      | ( ( late_transitions @ SV754 @ ( late_BoundR @ ( late_InputS @ SV436 ) @ SV834 @ SV925 ) )
        = $false )
      | ( ( late_transitions @ SV190 @ ( late_BoundR @ ( late_BoundOutputS @ SV436 ) @ SV609 @ SV680 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3960]) ).

thf(4068,plain,
    ! [SV681: pi,SV926: pi,SV437: name,SV191: pi,SV835: name,SV755: pi,SV610: name] :
      ( ( ( fresh_name_pi @ SV610 @ SV755 )
        = $false )
      | ( ( ~ ( fresh_name_pi @ SV835 @ SV191 )
          | ~ ( fresh_name_pi @ SV835 @ SV755 )
          | ( SV610 = SV437 )
          | ~ ( fresh_name_pi @ SV610 @ SV926 )
          | ( SV835 = SV437 )
          | ~ ( fresh_name_pi @ SV835 @ SV681 )
          | ( SV610 = SV835 )
          | ( late_transitions @ ( par @ SV191 @ SV755 ) @ ( late_FreeR @ late_TauR @ ( res @ SV835 @ ( par @ ( subs @ SV681 @ SV610 @ SV835 ) @ SV926 ) ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV610 @ SV191 )
        = $false )
      | ( ( late_transitions @ SV755 @ ( late_BoundR @ ( late_BoundOutputS @ SV437 ) @ SV835 @ SV926 ) )
        = $false )
      | ( ( late_transitions @ SV191 @ ( late_BoundR @ ( late_InputS @ SV437 ) @ SV610 @ SV681 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3961]) ).

thf(4069,plain,
    ! [SV929: pi,SV194: pi,SV684: pi,SV613: name,SV440: name,SV758: pi,SV838: name] :
      ( ( ( fresh_name_pi @ SV838 @ SV758 )
        = $false )
      | ( ( ( SV838 = SV440 )
          | ( SV838 = SV613 )
          | ~ ( fresh_name_pi @ SV838 @ SV684 )
          | ( late_transitions @ ( par @ SV194 @ SV758 ) @ ( late_FreeR @ late_TauR @ ( par @ SV684 @ ( subs @ SV929 @ SV838 @ SV613 ) ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV838 @ SV194 )
        = $false )
      | ( ( late_transitions @ SV758 @ ( late_BoundR @ ( late_InputS @ SV440 ) @ SV838 @ SV929 ) )
        = $false )
      | ( ( late_transitions @ SV194 @ ( late_FreeR @ ( late_OutputR @ SV440 @ SV613 ) @ SV684 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3962]) ).

thf(4070,plain,
    ! [SV685: pi,SV195: pi,SV930: pi,SV839: name,SV441: name,SV759: pi,SV614: name] :
      ( ( ( fresh_name_pi @ SV614 @ SV759 )
        = $false )
      | ( ( ( SV614 = SV441 )
          | ( SV614 = SV839 )
          | ~ ( fresh_name_pi @ SV614 @ SV930 )
          | ( late_transitions @ ( par @ SV195 @ SV759 ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ SV685 @ SV614 @ SV839 ) @ SV930 ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV614 @ SV195 )
        = $false )
      | ( ( late_transitions @ SV759 @ ( late_FreeR @ ( late_OutputR @ SV441 @ SV839 ) @ SV930 ) )
        = $false )
      | ( ( late_transitions @ SV195 @ ( late_BoundR @ ( late_InputS @ SV441 ) @ SV614 @ SV685 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3963]) ).

thf(4071,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
           != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                            | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) )
        = $false )
      | ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3965]) ).

thf(4072,plain,
    ! [SV625: late_subject,SV695: name,SV767: pi,SV465: pi,SV229: pi] :
      ( ( ( ( ( par @ SV229 @ SV465 )
           != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
          | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                 != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                  | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3966]) ).

thf(4073,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
          | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                      | ~ ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( par @ SV229 @ SV465 )
               != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                     != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3967]) ).

thf(4074,plain,
    ! [SV466: pi,SV768: pi,SV987: pi > $o,SV696: name,SV626: late_subject,SV230: pi] :
      ( ( ( ~ ( late_transitions @ SV230 @ ( late_BoundR @ SV626 @ SV696 @ ( sK95_P4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( late_transitions @ SV466 @ ( late_BoundR @ SV626 @ SV696 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
              | ~ ~ ( SV987 @ ( par @ SV230 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) ) )
          | ( SV987 @ SV768 ) )
        = $true )
      | ( ( fresh_name_pi @ SV696 @ SV466 )
        = $false )
      | ( ( fresh_name_pi @ SV696 @ SV230 )
        = $false )
      | ( ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SV626 @ SV696 @ SV768 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3968]) ).

thf(4075,plain,
    ! [SV230: pi,SV466: pi,SV626: late_subject,SV696: name,SV768: pi,SV987: pi > $o] :
      ( ( ( ~ ~ ( SV987 @ ( par @ ( sK95_P4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) @ SV466 ) ) )
        = $false )
      | ( ( ~ ( ~ ( late_transitions @ SV466 @ ( late_BoundR @ SV626 @ SV696 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
              | ~ ~ ( SV987 @ ( par @ SV230 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) ) )
          | ( SV987 @ SV768 ) )
        = $true )
      | ( ( fresh_name_pi @ SV696 @ SV466 )
        = $false )
      | ( ( fresh_name_pi @ SV696 @ SV230 )
        = $false )
      | ( ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SV626 @ SV696 @ SV768 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3968]) ).

thf(4076,plain,
    ! [SV232: name,SV467: pi,SV769: pi,SV697: name,SV627: late_subject] :
      ( ( ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
           != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                      | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                 != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                  | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) )
        = $false )
      | ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3970]) ).

thf(4077,plain,
    ! [SV627: late_subject,SV697: name,SV769: pi,SV467: pi,SV232: name] :
      ( ( ( ( ( res @ SV232 @ SV467 )
           != ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
          | ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                 != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                      | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                            | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                       != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                  | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                        | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3971]) ).

thf(4078,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
          | ~ ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
               != ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV232 @ SV467 )
               != ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                     != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                           != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3972]) ).

thf(4079,plain,
    ! [SV628: pi,SV471: late_freeRes,SV234: name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ SV234 @ SV471 )
          | ~ ( fresh_name_pi @ SV234 @ SV628 ) )
        = $false )
      | ( ( fresh_1641682979reeRes @ SV234 @ SV471 )
        = $false )
      | ( ( fresh_name_pi @ SV234 @ SV628 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3974]) ).

thf(4080,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3975]) ).

thf(4081,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3975]) ).

thf(4082,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3976]) ).

thf(4083,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                      | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                 != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                  | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3976]) ).

thf(4084,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3977]) ).

thf(4085,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                            | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                       != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                  | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                        | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3977]) ).

thf(4086,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                           != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
          | ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3978]) ).

thf(4087,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
         != ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                           != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
          | ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3979]) ).

thf(4088,plain,
    ! [SV630: name,SV477: name,SV238: name] :
      ( ( ( ~ ( fresh_name_name @ SV238 @ SV477 )
          | ~ ( fresh_name_name @ SV238 @ SV630 ) )
        = $false )
      | ( ( fresh_name_name @ SV238 @ SV477 )
        = $false )
      | ( ( fresh_name_name @ SV238 @ SV630 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3981]) ).

thf(4089,plain,
    ! [SV698: list_P227219501e_name,SV631: produc367475239e_name,SV479: list_P227219501e_name,SV240: produc367475239e_name] :
      ( ( ( ( cons_P1213805021e_name @ SV240 @ SV479 )
          = ( cons_P1213805021e_name @ SV631 @ SV698 ) )
        = $true )
      | ( ( SV240 = SV631 )
        = $false )
      | ( ( SV479 = SV698 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3984]) ).

thf(4090,plain,
    ! [SV698: list_P227219501e_name,SV479: list_P227219501e_name,SV631: produc367475239e_name,SV240: produc367475239e_name] :
      ( ( ( ~ ( ( SV240 != SV631 )
              | ( SV479 != SV698 ) ) )
        = $true )
      | ( ( SV240 = SV631 )
        = $false )
      | ( ( SV479 = SV698 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3985]) ).

thf(4091,plain,
    ! [SV632: pi,SV480: pi,SV242: name] :
      ( ( ( ~ ( fresh_name_pi @ SV242 @ SV480 )
          | ~ ( fresh_name_pi @ SV242 @ SV632 ) )
        = $false )
      | ( ( fresh_name_pi @ SV242 @ SV480 )
        = $false )
      | ( ( fresh_name_pi @ SV242 @ SV632 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3987]) ).

thf(4092,plain,
    ! [SV699: name,SV633: name,SV481: name,SV243: name] :
      ( ( ( ( late_OutputR @ SV243 @ SV481 )
          = ( late_OutputR @ SV633 @ SV699 ) )
        = $true )
      | ( ( SV243 = SV633 )
        = $false )
      | ( ( SV481 = SV699 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3990]) ).

thf(4093,plain,
    ! [SV699: name,SV481: name,SV633: name,SV243: name] :
      ( ( ( ~ ( ( SV243 != SV633 )
              | ( SV481 != SV699 ) ) )
        = $true )
      | ( ( SV243 = SV633 )
        = $false )
      | ( ( SV481 = SV699 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3991]) ).

thf(4094,plain,
    ! [SV482: pi,SV634: list_pi,SV246: name] :
      ( ( ( ~ ( fresh_name_list_pi @ SV246 @ SV634 )
          | ~ ( fresh_name_pi @ SV246 @ SV482 ) )
        = $false )
      | ( ( fresh_name_list_pi @ SV246 @ SV634 )
        = $false )
      | ( ( fresh_name_pi @ SV246 @ SV482 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3993]) ).

thf(4095,plain,
    ! [SV488: name,SV959: pi,SV250: name,SV700: late_subject,SV635: pi,SV770: name] :
      ( ( ( fresh_name_pi @ SV770 @ SV635 )
        = $false )
      | ( ( ( SV700
            = ( late_InputS @ SV250 ) )
          | ! [SY2444: late_subject > name > pi > $o] : ( SY2444 @ SV700 @ SV770 @ SV959 ) )
        = $true )
      | ( ( SV770 = SV488 )
        = $true )
      | ( ( SV770 = SV250 )
        = $true )
      | ( ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SV959 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3994]) ).

thf(4096,plain,
    ! [SV700: late_subject,SV996: pi,SV635: pi,SV488: name,SV250: name,SV770: name] :
      ( ( ( SV770 = SV250 )
        = $true )
      | ( ( ( SV770 = SV488 )
          | ~ ( fresh_name_pi @ SV770 @ SV635 )
          | ( SV996
            = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
          | ! [SY2458: late_subject > name > pi > $o] : ( SY2458 @ SV700 @ SV770 @ SV996 ) )
        = $true )
      | ( ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SV996 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3995]) ).

thf(4097,plain,
    ! [SV997: pi,SV700: late_subject,SV635: pi,SV488: name,SV250: name,SV770: name] :
      ( ( ( SV770 = SV250 )
        = $true )
      | ( ( ( SV770 = SV488 )
          | ~ ( fresh_name_pi @ SV770 @ SV635 )
          | ! [SY2459: late_subject > name > pi > $o] :
              ( ~ ( SY2459 @ ( late_InputS @ SV250 ) @ SV770 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
              | ( SY2459 @ SV700 @ SV770 @ SV997 ) ) )
        = $true )
      | ( ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SV997 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3996]) ).

thf(4098,plain,
    ! [SV636: name,SV489: name,SV251: name] :
      ( ( ( ~ ( fresh_name_name @ SV251 @ SV489 )
          | ~ ( fresh_name_name @ SV251 @ SV636 ) )
        = $false )
      | ( ( fresh_name_name @ SV251 @ SV489 )
        = $false )
      | ( ( fresh_name_name @ SV251 @ SV636 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3998]) ).

thf(4099,plain,
    ! [SV490: pi,SV637: late_freeRes,SV701: pi,SV252: name,SV821: pi > $o] :
      ( ( ( SV821 @ ( res @ SV252 @ ( sK117_P4 @ SV821 @ SV701 @ SV637 @ SV490 @ SV252 ) ) )
        = $false )
      | ( ( SV821 @ SV701 )
        = $true )
      | ( ( late_transitions @ ( res @ SV252 @ SV490 ) @ ( late_FreeR @ SV637 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4000]) ).

thf(4100,plain,
    ! [SV253: name,SV638: late_subject,SV702: name,SV771: pi,SV981: late_subject > pi > $o,SV491: pi] :
      ( ( ( late_transitions @ SV491 @ ( late_FreeR @ ( late_OutputR @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) @ SV253 ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $true )
      | ( ( ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                    | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
          | ( SV981 @ SV638 @ SV771 ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4001]) ).

thf(4101,plain,
    ! [SV253: name,SV491: pi,SV638: late_subject,SV702: name,SV771: pi,SV981: late_subject > pi > $o] :
      ( ( ( ~ ( ~ ( ( ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 )
                   != SV253 ) )
              | ~ ~ ( ( SV638
                     != ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
                    | ~ ~ ( SV981 @ ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV702 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                    | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
          | ( SV981 @ SV638 @ SV771 ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4002]) ).

thf(4102,plain,
    ! [SV703: pi,SV639: pi,SV495: pi,SV255: pi] :
      ( ( ( ( par @ SV255 @ SV495 )
          = ( par @ SV639 @ SV703 ) )
        = $true )
      | ( ( SV255 = SV639 )
        = $false )
      | ( ( SV495 = SV703 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4005]) ).

thf(4103,plain,
    ! [SV703: pi,SV495: pi,SV639: pi,SV255: pi] :
      ( ( ( ~ ( ( SV255 != SV639 )
              | ( SV495 != SV703 ) ) )
        = $true )
      | ( ( SV255 = SV639 )
        = $false )
      | ( ( SV495 = SV703 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4006]) ).

thf(4104,plain,
    ! [SV496: set_Pr1834926343_pi_pi,SV640: pi,SV895: pi,SV825: name,SV704: late_subject,SV256: pi] :
      ( ( ( late_transitions @ SV256 @ ( late_BoundR @ SV704 @ SV825 @ ( sK92_P4 @ SV895 @ SV825 @ SV704 @ SV640 @ SV496 @ SV256 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV825 @ SV256 )
        = $false )
      | ( ( late_transitions @ SV640 @ ( late_BoundR @ SV704 @ SV825 @ SV895 ) )
        = $false )
      | ( ( strong743114133lation @ SV256 @ SV496 @ SV640 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4007]) ).

thf(4105,plain,
    ! [SV256: pi,SV496: set_Pr1834926343_pi_pi,SV640: pi,SV704: late_subject,SV825: name,SV895: pi] :
      ( ( ( strong2129052853vative @ ( sK92_P4 @ SV895 @ SV825 @ SV704 @ SV640 @ SV496 @ SV256 ) @ SV895 @ SV704 @ SV825 @ SV496 )
        = $true )
      | ( ( fresh_name_pi @ SV825 @ SV256 )
        = $false )
      | ( ( late_transitions @ SV640 @ ( late_BoundR @ SV704 @ SV825 @ SV895 ) )
        = $false )
      | ( ( strong743114133lation @ SV256 @ SV496 @ SV640 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4008]) ).

thf(4106,plain,
    ! [SV705: pi,SV641: late_freeRes,SV497: pi,SV257: late_freeRes] :
      ( ( ( ( late_FreeR @ SV257 @ SV497 )
          = ( late_FreeR @ SV641 @ SV705 ) )
        = $true )
      | ( ( SV257 = SV641 )
        = $false )
      | ( ( SV497 = SV705 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4011]) ).

thf(4107,plain,
    ! [SV705: pi,SV497: pi,SV641: late_freeRes,SV257: late_freeRes] :
      ( ( ( ~ ( ( SV257 != SV641 )
              | ( SV497 != SV705 ) ) )
        = $true )
      | ( ( SV257 = SV641 )
        = $false )
      | ( ( SV497 = SV705 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4012]) ).

thf(4108,plain,
    ! [SV258: name,SV498: pi,SV642: late_freeRes,SV706: pi] :
      ( ( ( late_transitions @ ( sK113_P5 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( late_FreeR @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK115_SY1111 @ SV706 @ SV642 @ SV498 @ SV258 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV258 @ SV498 ) @ ( late_FreeR @ SV642 @ SV706 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4013]) ).

thf(4109,plain,
    ! [SV258: name,SV498: pi,SV642: late_freeRes,SV706: pi] :
      ( ( ( fresh_1641682979reeRes @ ( sK116_SY1113 @ SV706 @ SV642 @ SV498 @ SV258 ) @ ( sK114_SY1108 @ SV706 @ SV642 @ SV498 @ SV258 ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV258 @ SV498 ) @ ( late_FreeR @ SV642 @ SV706 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4014]) ).

thf(4110,plain,
    ! [SV707: name,SV643: name,SV503: name,SV264: name] :
      ( ( ( ( late_OutputR @ SV264 @ SV503 )
          = ( late_OutputR @ SV643 @ SV707 ) )
        = $true )
      | ( ( SV264 = SV643 )
        = $false )
      | ( ( SV503 = SV707 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4017]) ).

thf(4111,plain,
    ! [SV707: name,SV503: name,SV643: name,SV264: name] :
      ( ( ( ~ ( ( SV264 != SV643 )
              | ( SV503 != SV707 ) ) )
        = $true )
      | ( ( SV264 = SV643 )
        = $false )
      | ( ( SV503 = SV707 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4018]) ).

thf(4112,plain,
    ! [SV135: $o] :
      ( ( SV135 = $true )
      | ( SV135 = $false )
      | ( SV135 = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4019]) ).

thf(4113,plain,
    ! [SV135: $o] :
      ( ( $false = $true )
      | ( SV135 = $false )
      | ( SV135 = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4020]) ).

thf(4114,plain,
    ! [SV135: $o] :
      ( ( SV135 = $true )
      | ( $false = $false )
      | ( SV135 = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4021]) ).

thf(4115,plain,
    ! [SV135: $o] :
      ( ( $false = $true )
      | ( $false = $false )
      | ( SV135 = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4022]) ).

thf(4116,plain,
    ! [SV135: $o] :
      ( ( SV135 = $true )
      | ( SV135 = $false )
      | ( SV135 = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4023]) ).

thf(4117,plain,
    ! [SV135: $o] :
      ( ( $false = $true )
      | ( SV135 = $false )
      | ( SV135 = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4024]) ).

thf(4118,plain,
    ! [SV135: $o] :
      ( ( SV135 = $true )
      | ( $false = $false )
      | ( SV135 = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4025]) ).

thf(4119,plain,
    ! [SV135: $o] :
      ( ( $false = $true )
      | ( $false = $false )
      | ( SV135 = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4026]) ).

thf(4120,plain,
    ! [SV135: $o] :
      ( ( SV135 = $true )
      | ( SV135 = $false )
      | ( $true = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4027]) ).

thf(4121,plain,
    ! [SV135: $o] :
      ( ( $false = $true )
      | ( SV135 = $false )
      | ( $true = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4028]) ).

thf(4122,plain,
    ! [SV135: $o] :
      ( ( SV135 = $true )
      | ( $false = $false )
      | ( $true = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4029]) ).

thf(4123,plain,
    ! [SV135: $o] :
      ( ( $false = $true )
      | ( $false = $false )
      | ( $true = $false )
      | ( SV135 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4030]) ).

thf(4124,plain,
    ! [SV135: $o] :
      ( ( SV135 = $true )
      | ( SV135 = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4031]) ).

thf(4125,plain,
    ! [SV135: $o] :
      ( ( $false = $true )
      | ( SV135 = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4032]) ).

thf(4126,plain,
    ! [SV135: $o] :
      ( ( SV135 = $true )
      | ( $false = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4033]) ).

thf(4127,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4034]) ).

thf(4128,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4035]) ).

thf(4129,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4036]) ).

thf(4130,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4037]) ).

thf(4131,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4038]) ).

thf(4132,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4039]) ).

thf(4133,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4040]) ).

thf(4134,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4041]) ).

thf(4135,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4042]) ).

thf(4136,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4043]) ).

thf(4137,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4044]) ).

thf(4138,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4045]) ).

thf(4139,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4046]) ).

thf(4140,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4047]) ).

thf(4141,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4048]) ).

thf(4142,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4049]) ).

thf(4143,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4050]) ).

thf(4144,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4051]) ).

thf(4145,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4052]) ).

thf(4146,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4053]) ).

thf(4147,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4054]) ).

thf(4148,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4055]) ).

thf(4149,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4056]) ).

thf(4150,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4057]) ).

thf(4151,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4058]) ).

thf(4152,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4059]) ).

thf(4153,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4060]) ).

thf(4154,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4061]) ).

thf(4155,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4062]) ).

thf(4156,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4063]) ).

thf(4157,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4064]) ).

thf(4158,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4065]) ).

thf(4159,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4066]) ).

thf(4160,plain,
    ! [SV925: pi,SV680: pi,SV436: name,SV834: name,SV754: pi,SV190: pi,SV609: name] :
      ( ( ( ~ ( fresh_name_pi @ SV609 @ SV190 ) )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV609 @ SV754 )
          | ( SV834 = SV436 )
          | ~ ( fresh_name_pi @ SV834 @ SV680 )
          | ( SV609 = SV436 )
          | ~ ( fresh_name_pi @ SV609 @ SV925 )
          | ( SV834 = SV609 )
          | ( late_transitions @ ( par @ SV190 @ SV754 ) @ ( late_FreeR @ late_TauR @ ( res @ SV609 @ ( par @ SV680 @ ( subs @ SV925 @ SV834 @ SV609 ) ) ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV834 @ SV754 )
        = $false )
      | ( ( fresh_name_pi @ SV834 @ SV190 )
        = $false )
      | ( ( late_transitions @ SV754 @ ( late_BoundR @ ( late_InputS @ SV436 ) @ SV834 @ SV925 ) )
        = $false )
      | ( ( late_transitions @ SV190 @ ( late_BoundR @ ( late_BoundOutputS @ SV436 ) @ SV609 @ SV680 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4067]) ).

thf(4161,plain,
    ! [SV681: pi,SV926: pi,SV437: name,SV610: name,SV755: pi,SV191: pi,SV835: name] :
      ( ( ( ~ ( fresh_name_pi @ SV835 @ SV191 ) )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV835 @ SV755 )
          | ( SV610 = SV437 )
          | ~ ( fresh_name_pi @ SV610 @ SV926 )
          | ( SV835 = SV437 )
          | ~ ( fresh_name_pi @ SV835 @ SV681 )
          | ( SV610 = SV835 )
          | ( late_transitions @ ( par @ SV191 @ SV755 ) @ ( late_FreeR @ late_TauR @ ( res @ SV835 @ ( par @ ( subs @ SV681 @ SV610 @ SV835 ) @ SV926 ) ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV610 @ SV755 )
        = $false )
      | ( ( fresh_name_pi @ SV610 @ SV191 )
        = $false )
      | ( ( late_transitions @ SV755 @ ( late_BoundR @ ( late_BoundOutputS @ SV437 ) @ SV835 @ SV926 ) )
        = $false )
      | ( ( late_transitions @ SV191 @ ( late_BoundR @ ( late_InputS @ SV437 ) @ SV610 @ SV681 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4068]) ).

thf(4162,plain,
    ! [SV929: pi,SV758: pi,SV194: pi,SV684: pi,SV613: name,SV440: name,SV838: name] :
      ( ( ( SV838 = SV440 )
        = $true )
      | ( ( ( SV838 = SV613 )
          | ~ ( fresh_name_pi @ SV838 @ SV684 )
          | ( late_transitions @ ( par @ SV194 @ SV758 ) @ ( late_FreeR @ late_TauR @ ( par @ SV684 @ ( subs @ SV929 @ SV838 @ SV613 ) ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV838 @ SV758 )
        = $false )
      | ( ( fresh_name_pi @ SV838 @ SV194 )
        = $false )
      | ( ( late_transitions @ SV758 @ ( late_BoundR @ ( late_InputS @ SV440 ) @ SV838 @ SV929 ) )
        = $false )
      | ( ( late_transitions @ SV194 @ ( late_FreeR @ ( late_OutputR @ SV440 @ SV613 ) @ SV684 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4069]) ).

thf(4163,plain,
    ! [SV685: pi,SV759: pi,SV195: pi,SV930: pi,SV839: name,SV441: name,SV614: name] :
      ( ( ( SV614 = SV441 )
        = $true )
      | ( ( ( SV614 = SV839 )
          | ~ ( fresh_name_pi @ SV614 @ SV930 )
          | ( late_transitions @ ( par @ SV195 @ SV759 ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ SV685 @ SV614 @ SV839 ) @ SV930 ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV614 @ SV759 )
        = $false )
      | ( ( fresh_name_pi @ SV614 @ SV195 )
        = $false )
      | ( ( late_transitions @ SV759 @ ( late_FreeR @ ( late_OutputR @ SV441 @ SV839 ) @ SV930 ) )
        = $false )
      | ( ( late_transitions @ SV195 @ ( late_BoundR @ ( late_InputS @ SV441 ) @ SV614 @ SV685 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4070]) ).

thf(4164,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
         != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $false )
      | ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4071]) ).

thf(4165,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                            | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) )
        = $false )
      | ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4071]) ).

thf(4166,plain,
    ! [SV625: late_subject,SV695: name,SV767: pi,SV465: pi,SV229: pi] :
      ( ( ( ( par @ SV229 @ SV465 )
         != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4072]) ).

thf(4167,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                 != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                  | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4072]) ).

thf(4168,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( par @ SV229 @ SV465 )
               != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                     != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4073]) ).

thf(4169,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                      | ~ ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( par @ SV229 @ SV465 )
               != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                     != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4073]) ).

thf(4170,plain,
    ! [SV466: pi,SV768: pi,SV987: pi > $o,SV696: name,SV626: late_subject,SV230: pi] :
      ( ( ( late_transitions @ SV230 @ ( late_BoundR @ SV626 @ SV696 @ ( sK95_P4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
        = $true )
      | ( ( ~ ( ~ ( late_transitions @ SV466 @ ( late_BoundR @ SV626 @ SV696 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
              | ~ ~ ( SV987 @ ( par @ SV230 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) ) )
          | ( SV987 @ SV768 ) )
        = $true )
      | ( ( fresh_name_pi @ SV696 @ SV466 )
        = $false )
      | ( ( fresh_name_pi @ SV696 @ SV230 )
        = $false )
      | ( ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SV626 @ SV696 @ SV768 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4074]) ).

thf(4171,plain,
    ! [SV230: pi,SV466: pi,SV626: late_subject,SV696: name,SV768: pi,SV987: pi > $o] :
      ( ( ( ~ ( SV987 @ ( par @ ( sK95_P4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) @ SV466 ) ) )
        = $true )
      | ( ( ~ ( ~ ( late_transitions @ SV466 @ ( late_BoundR @ SV626 @ SV696 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
              | ~ ~ ( SV987 @ ( par @ SV230 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) ) )
          | ( SV987 @ SV768 ) )
        = $true )
      | ( ( fresh_name_pi @ SV696 @ SV466 )
        = $false )
      | ( ( fresh_name_pi @ SV696 @ SV230 )
        = $false )
      | ( ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SV626 @ SV696 @ SV768 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4075]) ).

thf(4172,plain,
    ! [SV232: name,SV467: pi,SV769: pi,SV697: name,SV627: late_subject] :
      ( ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
         != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
        = $false )
      | ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4076]) ).

thf(4173,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                      | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                 != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                  | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) )
        = $false )
      | ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4076]) ).

thf(4174,plain,
    ! [SV627: late_subject,SV697: name,SV769: pi,SV467: pi,SV232: name] :
      ( ( ( ( res @ SV232 @ SV467 )
         != ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4077]) ).

thf(4175,plain,
    ! [SV232: name,SV467: pi,SV769: pi,SV697: name,SV627: late_subject] :
      ( ( ( ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                 != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                      | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                            | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                       != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                  | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                        | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4077]) ).

thf(4176,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV232 @ SV467 )
               != ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                     != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                           != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4078]) ).

thf(4177,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
               != ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV232 @ SV467 )
               != ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                     != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                           != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4078]) ).

thf(4178,plain,
    ! [SV628: pi,SV471: late_freeRes,SV234: name] :
      ( ( ( ~ ( fresh_1641682979reeRes @ SV234 @ SV471 ) )
        = $false )
      | ( ( fresh_1641682979reeRes @ SV234 @ SV471 )
        = $false )
      | ( ( fresh_name_pi @ SV234 @ SV628 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4079]) ).

thf(4179,plain,
    ! [SV471: late_freeRes,SV628: pi,SV234: name] :
      ( ( ( ~ ( fresh_name_pi @ SV234 @ SV628 ) )
        = $false )
      | ( ( fresh_1641682979reeRes @ SV234 @ SV471 )
        = $false )
      | ( ( fresh_name_pi @ SV234 @ SV628 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4079]) ).

thf(4180,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4080]) ).

thf(4181,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4081]) ).

thf(4182,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4082]) ).

thf(4183,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                    | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                               != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4083]) ).

thf(4184,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4084]) ).

thf(4185,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                          | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                     != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4085]) ).

thf(4186,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                           != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4086]) ).

thf(4187,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                           != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
          | ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4087]) ).

thf(4188,plain,
    ! [SV630: name,SV477: name,SV238: name] :
      ( ( ( ~ ( fresh_name_name @ SV238 @ SV477 ) )
        = $false )
      | ( ( fresh_name_name @ SV238 @ SV477 )
        = $false )
      | ( ( fresh_name_name @ SV238 @ SV630 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4088]) ).

thf(4189,plain,
    ! [SV477: name,SV630: name,SV238: name] :
      ( ( ( ~ ( fresh_name_name @ SV238 @ SV630 ) )
        = $false )
      | ( ( fresh_name_name @ SV238 @ SV477 )
        = $false )
      | ( ( fresh_name_name @ SV238 @ SV630 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4088]) ).

thf(4190,plain,
    ! [SV698: list_P227219501e_name,SV479: list_P227219501e_name,SV631: produc367475239e_name,SV240: produc367475239e_name] :
      ( ( ( ( SV240 != SV631 )
          | ( SV479 != SV698 ) )
        = $false )
      | ( ( SV240 = SV631 )
        = $false )
      | ( ( SV479 = SV698 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4090]) ).

thf(4191,plain,
    ! [SV632: pi,SV480: pi,SV242: name] :
      ( ( ( ~ ( fresh_name_pi @ SV242 @ SV480 ) )
        = $false )
      | ( ( fresh_name_pi @ SV242 @ SV480 )
        = $false )
      | ( ( fresh_name_pi @ SV242 @ SV632 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4091]) ).

thf(4192,plain,
    ! [SV480: pi,SV632: pi,SV242: name] :
      ( ( ( ~ ( fresh_name_pi @ SV242 @ SV632 ) )
        = $false )
      | ( ( fresh_name_pi @ SV242 @ SV480 )
        = $false )
      | ( ( fresh_name_pi @ SV242 @ SV632 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4091]) ).

thf(4193,plain,
    ! [SV699: name,SV481: name,SV633: name,SV243: name] :
      ( ( ( ( SV243 != SV633 )
          | ( SV481 != SV699 ) )
        = $false )
      | ( ( SV243 = SV633 )
        = $false )
      | ( ( SV481 = SV699 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4093]) ).

thf(4194,plain,
    ! [SV482: pi,SV634: list_pi,SV246: name] :
      ( ( ( ~ ( fresh_name_list_pi @ SV246 @ SV634 ) )
        = $false )
      | ( ( fresh_name_list_pi @ SV246 @ SV634 )
        = $false )
      | ( ( fresh_name_pi @ SV246 @ SV482 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4094]) ).

thf(4195,plain,
    ! [SV634: list_pi,SV482: pi,SV246: name] :
      ( ( ( ~ ( fresh_name_pi @ SV246 @ SV482 ) )
        = $false )
      | ( ( fresh_name_list_pi @ SV246 @ SV634 )
        = $false )
      | ( ( fresh_name_pi @ SV246 @ SV482 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4094]) ).

thf(4196,plain,
    ! [SV488: name,SV635: pi,SV959: pi,SV770: name,SV250: name,SV700: late_subject] :
      ( ( ( SV700
          = ( late_InputS @ SV250 ) )
        = $true )
      | ( ( ! [SY2444: late_subject > name > pi > $o] : ( SY2444 @ SV700 @ SV770 @ SV959 ) )
        = $true )
      | ( ( fresh_name_pi @ SV770 @ SV635 )
        = $false )
      | ( ( SV770 = SV488 )
        = $true )
      | ( ( SV770 = SV250 )
        = $true )
      | ( ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SV959 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4095]) ).

thf(4197,plain,
    ! [SV250: name,SV700: late_subject,SV996: pi,SV635: pi,SV488: name,SV770: name] :
      ( ( ( SV770 = SV488 )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV770 @ SV635 )
          | ( SV996
            = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
          | ! [SY2458: late_subject > name > pi > $o] : ( SY2458 @ SV700 @ SV770 @ SV996 ) )
        = $true )
      | ( ( SV770 = SV250 )
        = $true )
      | ( ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SV996 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4096]) ).

thf(4198,plain,
    ! [SV997: pi,SV700: late_subject,SV250: name,SV635: pi,SV488: name,SV770: name] :
      ( ( ( SV770 = SV488 )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV770 @ SV635 )
          | ! [SY2459: late_subject > name > pi > $o] :
              ( ~ ( SY2459 @ ( late_InputS @ SV250 ) @ SV770 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
              | ( SY2459 @ SV700 @ SV770 @ SV997 ) ) )
        = $true )
      | ( ( SV770 = SV250 )
        = $true )
      | ( ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SV997 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4097]) ).

thf(4199,plain,
    ! [SV636: name,SV489: name,SV251: name] :
      ( ( ( ~ ( fresh_name_name @ SV251 @ SV489 ) )
        = $false )
      | ( ( fresh_name_name @ SV251 @ SV489 )
        = $false )
      | ( ( fresh_name_name @ SV251 @ SV636 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4098]) ).

thf(4200,plain,
    ! [SV489: name,SV636: name,SV251: name] :
      ( ( ( ~ ( fresh_name_name @ SV251 @ SV636 ) )
        = $false )
      | ( ( fresh_name_name @ SV251 @ SV489 )
        = $false )
      | ( ( fresh_name_name @ SV251 @ SV636 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4098]) ).

thf(4201,plain,
    ! [SV253: name,SV771: pi,SV981: late_subject > pi > $o,SV702: name,SV638: late_subject,SV491: pi] :
      ( ( ( ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                    | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) ) )
        = $true )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( late_transitions @ SV491 @ ( late_FreeR @ ( late_OutputR @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) @ SV253 ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4100]) ).

thf(4202,plain,
    ! [SV253: name,SV491: pi,SV638: late_subject,SV702: name,SV771: pi,SV981: late_subject > pi > $o] :
      ( ( ( ~ ( ( ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 )
               != SV253 ) )
          | ~ ~ ( ( SV638
                 != ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
                | ~ ~ ( SV981 @ ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV702 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                    | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
          | ( SV981 @ SV638 @ SV771 ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4101]) ).

thf(4203,plain,
    ! [SV703: pi,SV495: pi,SV639: pi,SV255: pi] :
      ( ( ( ( SV255 != SV639 )
          | ( SV495 != SV703 ) )
        = $false )
      | ( ( SV255 = SV639 )
        = $false )
      | ( ( SV495 = SV703 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4103]) ).

thf(4204,plain,
    ! [SV705: pi,SV497: pi,SV641: late_freeRes,SV257: late_freeRes] :
      ( ( ( ( SV257 != SV641 )
          | ( SV497 != SV705 ) )
        = $false )
      | ( ( SV257 = SV641 )
        = $false )
      | ( ( SV497 = SV705 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4107]) ).

thf(4205,plain,
    ! [SV707: name,SV503: name,SV643: name,SV264: name] :
      ( ( ( ( SV264 != SV643 )
          | ( SV503 != SV707 ) )
        = $false )
      | ( ( SV264 = SV643 )
        = $false )
      | ( ( SV503 = SV707 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4111]) ).

thf(4206,plain,
    ! [SV925: pi,SV680: pi,SV436: name,SV834: name,SV754: pi,SV190: pi,SV609: name] :
      ( ( ( fresh_name_pi @ SV609 @ SV190 )
        = $false )
      | ( ( ~ ( fresh_name_pi @ SV609 @ SV754 )
          | ( SV834 = SV436 )
          | ~ ( fresh_name_pi @ SV834 @ SV680 )
          | ( SV609 = SV436 )
          | ~ ( fresh_name_pi @ SV609 @ SV925 )
          | ( SV834 = SV609 )
          | ( late_transitions @ ( par @ SV190 @ SV754 ) @ ( late_FreeR @ late_TauR @ ( res @ SV609 @ ( par @ SV680 @ ( subs @ SV925 @ SV834 @ SV609 ) ) ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV834 @ SV754 )
        = $false )
      | ( ( fresh_name_pi @ SV834 @ SV190 )
        = $false )
      | ( ( late_transitions @ SV754 @ ( late_BoundR @ ( late_InputS @ SV436 ) @ SV834 @ SV925 ) )
        = $false )
      | ( ( late_transitions @ SV190 @ ( late_BoundR @ ( late_BoundOutputS @ SV436 ) @ SV609 @ SV680 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4160]) ).

thf(4207,plain,
    ! [SV681: pi,SV926: pi,SV437: name,SV610: name,SV755: pi,SV191: pi,SV835: name] :
      ( ( ( fresh_name_pi @ SV835 @ SV191 )
        = $false )
      | ( ( ~ ( fresh_name_pi @ SV835 @ SV755 )
          | ( SV610 = SV437 )
          | ~ ( fresh_name_pi @ SV610 @ SV926 )
          | ( SV835 = SV437 )
          | ~ ( fresh_name_pi @ SV835 @ SV681 )
          | ( SV610 = SV835 )
          | ( late_transitions @ ( par @ SV191 @ SV755 ) @ ( late_FreeR @ late_TauR @ ( res @ SV835 @ ( par @ ( subs @ SV681 @ SV610 @ SV835 ) @ SV926 ) ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV610 @ SV755 )
        = $false )
      | ( ( fresh_name_pi @ SV610 @ SV191 )
        = $false )
      | ( ( late_transitions @ SV755 @ ( late_BoundR @ ( late_BoundOutputS @ SV437 ) @ SV835 @ SV926 ) )
        = $false )
      | ( ( late_transitions @ SV191 @ ( late_BoundR @ ( late_InputS @ SV437 ) @ SV610 @ SV681 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4161]) ).

thf(4208,plain,
    ! [SV440: name,SV929: pi,SV758: pi,SV194: pi,SV684: pi,SV613: name,SV838: name] :
      ( ( ( SV838 = SV613 )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV838 @ SV684 )
          | ( late_transitions @ ( par @ SV194 @ SV758 ) @ ( late_FreeR @ late_TauR @ ( par @ SV684 @ ( subs @ SV929 @ SV838 @ SV613 ) ) ) ) )
        = $true )
      | ( ( SV838 = SV440 )
        = $true )
      | ( ( fresh_name_pi @ SV838 @ SV758 )
        = $false )
      | ( ( fresh_name_pi @ SV838 @ SV194 )
        = $false )
      | ( ( late_transitions @ SV758 @ ( late_BoundR @ ( late_InputS @ SV440 ) @ SV838 @ SV929 ) )
        = $false )
      | ( ( late_transitions @ SV194 @ ( late_FreeR @ ( late_OutputR @ SV440 @ SV613 ) @ SV684 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4162]) ).

thf(4209,plain,
    ! [SV441: name,SV685: pi,SV759: pi,SV195: pi,SV930: pi,SV839: name,SV614: name] :
      ( ( ( SV614 = SV839 )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV614 @ SV930 )
          | ( late_transitions @ ( par @ SV195 @ SV759 ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ SV685 @ SV614 @ SV839 ) @ SV930 ) ) ) )
        = $true )
      | ( ( SV614 = SV441 )
        = $true )
      | ( ( fresh_name_pi @ SV614 @ SV759 )
        = $false )
      | ( ( fresh_name_pi @ SV614 @ SV195 )
        = $false )
      | ( ( late_transitions @ SV759 @ ( late_FreeR @ ( late_OutputR @ SV441 @ SV839 ) @ SV930 ) )
        = $false )
      | ( ( late_transitions @ SV195 @ ( late_BoundR @ ( late_InputS @ SV441 ) @ SV614 @ SV685 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4163]) ).

thf(4210,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4164]) ).

thf(4211,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                    | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                          | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) )
        = $true )
      | ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4165]) ).

thf(4212,plain,
    ! [SV625: late_subject,SV695: name,SV767: pi,SV465: pi,SV229: pi] :
      ( ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4166]) ).

thf(4213,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
               != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                    | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) )
        = $true )
      | ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4167]) ).

thf(4214,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( ~ ( ( ( par @ SV229 @ SV465 )
               != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                     != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4168]) ).

thf(4215,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
              | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                    | ~ ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( par @ SV229 @ SV465 )
               != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                     != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4169]) ).

thf(4216,plain,
    ! [SV230: pi,SV768: pi,SV987: pi > $o,SV696: name,SV626: late_subject,SV466: pi] :
      ( ( ( ~ ( ~ ( late_transitions @ SV466 @ ( late_BoundR @ SV626 @ SV696 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
              | ~ ~ ( SV987 @ ( par @ SV230 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) ) ) )
        = $true )
      | ( ( SV987 @ SV768 )
        = $true )
      | ( ( late_transitions @ SV230 @ ( late_BoundR @ SV626 @ SV696 @ ( sK95_P4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV696 @ SV466 )
        = $false )
      | ( ( fresh_name_pi @ SV696 @ SV230 )
        = $false )
      | ( ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SV626 @ SV696 @ SV768 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4170]) ).

thf(4217,plain,
    ! [SV230: pi,SV466: pi,SV626: late_subject,SV696: name,SV768: pi,SV987: pi > $o] :
      ( ( ( SV987 @ ( par @ ( sK95_P4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) @ SV466 ) )
        = $false )
      | ( ( ~ ( ~ ( late_transitions @ SV466 @ ( late_BoundR @ SV626 @ SV696 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
              | ~ ~ ( SV987 @ ( par @ SV230 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) ) )
          | ( SV987 @ SV768 ) )
        = $true )
      | ( ( fresh_name_pi @ SV696 @ SV466 )
        = $false )
      | ( ( fresh_name_pi @ SV696 @ SV230 )
        = $false )
      | ( ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SV626 @ SV696 @ SV768 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4171]) ).

thf(4218,plain,
    ! [SV232: name,SV467: pi,SV769: pi,SV697: name,SV627: late_subject] :
      ( ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
        = $true )
      | ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4172]) ).

thf(4219,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                    | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                               != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4173]) ).

thf(4220,plain,
    ! [SV627: late_subject,SV697: name,SV769: pi,SV467: pi,SV232: name] :
      ( ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4174]) ).

thf(4221,plain,
    ! [SV232: name,SV467: pi,SV769: pi,SV697: name,SV627: late_subject] :
      ( ( ( ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
               != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                    | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                          | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                     != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) )
        = $true )
      | ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4175]) ).

thf(4222,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV232 @ SV467 )
               != ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                     != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                           != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4176]) ).

thf(4223,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
         != ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV232 @ SV467 )
               != ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                     != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                           != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4177]) ).

thf(4224,plain,
    ! [SV628: pi,SV471: late_freeRes,SV234: name] :
      ( ( ( fresh_1641682979reeRes @ SV234 @ SV471 )
        = $true )
      | ( ( fresh_1641682979reeRes @ SV234 @ SV471 )
        = $false )
      | ( ( fresh_name_pi @ SV234 @ SV628 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4178]) ).

thf(4225,plain,
    ! [SV471: late_freeRes,SV628: pi,SV234: name] :
      ( ( ( fresh_name_pi @ SV234 @ SV628 )
        = $true )
      | ( ( fresh_1641682979reeRes @ SV234 @ SV471 )
        = $false )
      | ( ( fresh_name_pi @ SV234 @ SV628 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4179]) ).

thf(4226,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4181]) ).

thf(4227,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4182]) ).

thf(4228,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                           != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4183]) ).

thf(4229,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4184]) ).

thf(4230,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                      | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                 != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                  | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4185]) ).

thf(4231,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                            | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                       != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                  | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                        | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4186]) ).

thf(4232,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                           != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4187]) ).

thf(4233,plain,
    ! [SV630: name,SV477: name,SV238: name] :
      ( ( ( fresh_name_name @ SV238 @ SV477 )
        = $true )
      | ( ( fresh_name_name @ SV238 @ SV477 )
        = $false )
      | ( ( fresh_name_name @ SV238 @ SV630 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4188]) ).

thf(4234,plain,
    ! [SV477: name,SV630: name,SV238: name] :
      ( ( ( fresh_name_name @ SV238 @ SV630 )
        = $true )
      | ( ( fresh_name_name @ SV238 @ SV477 )
        = $false )
      | ( ( fresh_name_name @ SV238 @ SV630 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4189]) ).

thf(4235,plain,
    ! [SV698: list_P227219501e_name,SV479: list_P227219501e_name,SV631: produc367475239e_name,SV240: produc367475239e_name] :
      ( ( ( SV240 != SV631 )
        = $false )
      | ( ( SV240 = SV631 )
        = $false )
      | ( ( SV479 = SV698 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4190]) ).

thf(4236,plain,
    ! [SV631: produc367475239e_name,SV240: produc367475239e_name,SV698: list_P227219501e_name,SV479: list_P227219501e_name] :
      ( ( ( SV479 != SV698 )
        = $false )
      | ( ( SV240 = SV631 )
        = $false )
      | ( ( SV479 = SV698 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4190]) ).

thf(4237,plain,
    ! [SV632: pi,SV480: pi,SV242: name] :
      ( ( ( fresh_name_pi @ SV242 @ SV480 )
        = $true )
      | ( ( fresh_name_pi @ SV242 @ SV480 )
        = $false )
      | ( ( fresh_name_pi @ SV242 @ SV632 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4191]) ).

thf(4238,plain,
    ! [SV480: pi,SV632: pi,SV242: name] :
      ( ( ( fresh_name_pi @ SV242 @ SV632 )
        = $true )
      | ( ( fresh_name_pi @ SV242 @ SV480 )
        = $false )
      | ( ( fresh_name_pi @ SV242 @ SV632 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4192]) ).

thf(4239,plain,
    ! [SV699: name,SV481: name,SV633: name,SV243: name] :
      ( ( ( SV243 != SV633 )
        = $false )
      | ( ( SV243 = SV633 )
        = $false )
      | ( ( SV481 = SV699 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4193]) ).

thf(4240,plain,
    ! [SV633: name,SV243: name,SV699: name,SV481: name] :
      ( ( ( SV481 != SV699 )
        = $false )
      | ( ( SV243 = SV633 )
        = $false )
      | ( ( SV481 = SV699 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4193]) ).

thf(4241,plain,
    ! [SV482: pi,SV634: list_pi,SV246: name] :
      ( ( ( fresh_name_list_pi @ SV246 @ SV634 )
        = $true )
      | ( ( fresh_name_list_pi @ SV246 @ SV634 )
        = $false )
      | ( ( fresh_name_pi @ SV246 @ SV482 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4194]) ).

thf(4242,plain,
    ! [SV634: list_pi,SV482: pi,SV246: name] :
      ( ( ( fresh_name_pi @ SV246 @ SV482 )
        = $true )
      | ( ( fresh_name_list_pi @ SV246 @ SV634 )
        = $false )
      | ( ( fresh_name_pi @ SV246 @ SV482 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4195]) ).

thf(4243,plain,
    ! [SV488: name,SV635: pi,SV250: name,SV959: pi,SV770: name,SV700: late_subject,SV1012: late_subject > name > pi > $o] :
      ( ( ( SV1012 @ SV700 @ SV770 @ SV959 )
        = $true )
      | ( ( SV700
          = ( late_InputS @ SV250 ) )
        = $true )
      | ( ( fresh_name_pi @ SV770 @ SV635 )
        = $false )
      | ( ( SV770 = SV488 )
        = $true )
      | ( ( SV770 = SV250 )
        = $true )
      | ( ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SV959 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4196]) ).

thf(4244,plain,
    ! [SV250: name,SV700: late_subject,SV488: name,SV996: pi,SV635: pi,SV770: name] :
      ( ( ( ~ ( fresh_name_pi @ SV770 @ SV635 ) )
        = $true )
      | ( ( ( SV996
            = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
          | ! [SY2458: late_subject > name > pi > $o] : ( SY2458 @ SV700 @ SV770 @ SV996 ) )
        = $true )
      | ( ( SV770 = SV488 )
        = $true )
      | ( ( SV770 = SV250 )
        = $true )
      | ( ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SV996 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4197]) ).

thf(4245,plain,
    ! [SV997: pi,SV700: late_subject,SV488: name,SV250: name,SV635: pi,SV770: name] :
      ( ( ( ~ ( fresh_name_pi @ SV770 @ SV635 ) )
        = $true )
      | ( ( ! [SY2459: late_subject > name > pi > $o] :
              ( ~ ( SY2459 @ ( late_InputS @ SV250 ) @ SV770 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
              | ( SY2459 @ SV700 @ SV770 @ SV997 ) ) )
        = $true )
      | ( ( SV770 = SV488 )
        = $true )
      | ( ( SV770 = SV250 )
        = $true )
      | ( ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SV997 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4198]) ).

thf(4246,plain,
    ! [SV636: name,SV489: name,SV251: name] :
      ( ( ( fresh_name_name @ SV251 @ SV489 )
        = $true )
      | ( ( fresh_name_name @ SV251 @ SV489 )
        = $false )
      | ( ( fresh_name_name @ SV251 @ SV636 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4199]) ).

thf(4247,plain,
    ! [SV489: name,SV636: name,SV251: name] :
      ( ( ( fresh_name_name @ SV251 @ SV636 )
        = $true )
      | ( ( fresh_name_name @ SV251 @ SV489 )
        = $false )
      | ( ( fresh_name_name @ SV251 @ SV636 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4200]) ).

thf(4248,plain,
    ! [SV253: name,SV771: pi,SV981: late_subject > pi > $o,SV702: name,SV638: late_subject,SV491: pi] :
      ( ( ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
          | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
        = $false )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( late_transitions @ SV491 @ ( late_FreeR @ ( late_OutputR @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) @ SV253 ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4201]) ).

thf(4249,plain,
    ! [SV253: name,SV491: pi,SV638: late_subject,SV702: name,SV771: pi,SV981: late_subject > pi > $o] :
      ( ( ( ~ ( ( ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 )
               != SV253 ) ) )
        = $false )
      | ( ( ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                    | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
          | ( SV981 @ SV638 @ SV771 ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4202]) ).

thf(4250,plain,
    ! [SV253: name,SV491: pi,SV702: name,SV771: pi,SV981: late_subject > pi > $o,SV638: late_subject] :
      ( ( ( ~ ~ ( ( SV638
                 != ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
                | ~ ~ ( SV981 @ ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV702 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                    | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
          | ( SV981 @ SV638 @ SV771 ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4202]) ).

thf(4251,plain,
    ! [SV703: pi,SV495: pi,SV639: pi,SV255: pi] :
      ( ( ( SV255 != SV639 )
        = $false )
      | ( ( SV255 = SV639 )
        = $false )
      | ( ( SV495 = SV703 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4203]) ).

thf(4252,plain,
    ! [SV639: pi,SV255: pi,SV703: pi,SV495: pi] :
      ( ( ( SV495 != SV703 )
        = $false )
      | ( ( SV255 = SV639 )
        = $false )
      | ( ( SV495 = SV703 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4203]) ).

thf(4253,plain,
    ! [SV705: pi,SV497: pi,SV641: late_freeRes,SV257: late_freeRes] :
      ( ( ( SV257 != SV641 )
        = $false )
      | ( ( SV257 = SV641 )
        = $false )
      | ( ( SV497 = SV705 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4204]) ).

thf(4254,plain,
    ! [SV641: late_freeRes,SV257: late_freeRes,SV705: pi,SV497: pi] :
      ( ( ( SV497 != SV705 )
        = $false )
      | ( ( SV257 = SV641 )
        = $false )
      | ( ( SV497 = SV705 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4204]) ).

thf(4255,plain,
    ! [SV707: name,SV503: name,SV643: name,SV264: name] :
      ( ( ( SV264 != SV643 )
        = $false )
      | ( ( SV264 = SV643 )
        = $false )
      | ( ( SV503 = SV707 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4205]) ).

thf(4256,plain,
    ! [SV643: name,SV264: name,SV707: name,SV503: name] :
      ( ( ( SV503 != SV707 )
        = $false )
      | ( ( SV264 = SV643 )
        = $false )
      | ( ( SV503 = SV707 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4205]) ).

thf(4257,plain,
    ! [SV190: pi,SV925: pi,SV680: pi,SV436: name,SV834: name,SV754: pi,SV609: name] :
      ( ( ( ~ ( fresh_name_pi @ SV609 @ SV754 ) )
        = $true )
      | ( ( ( SV834 = SV436 )
          | ~ ( fresh_name_pi @ SV834 @ SV680 )
          | ( SV609 = SV436 )
          | ~ ( fresh_name_pi @ SV609 @ SV925 )
          | ( SV834 = SV609 )
          | ( late_transitions @ ( par @ SV190 @ SV754 ) @ ( late_FreeR @ late_TauR @ ( res @ SV609 @ ( par @ SV680 @ ( subs @ SV925 @ SV834 @ SV609 ) ) ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV609 @ SV190 )
        = $false )
      | ( ( fresh_name_pi @ SV834 @ SV754 )
        = $false )
      | ( ( fresh_name_pi @ SV834 @ SV190 )
        = $false )
      | ( ( late_transitions @ SV754 @ ( late_BoundR @ ( late_InputS @ SV436 ) @ SV834 @ SV925 ) )
        = $false )
      | ( ( late_transitions @ SV190 @ ( late_BoundR @ ( late_BoundOutputS @ SV436 ) @ SV609 @ SV680 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4206]) ).

thf(4258,plain,
    ! [SV191: pi,SV681: pi,SV926: pi,SV437: name,SV610: name,SV755: pi,SV835: name] :
      ( ( ( ~ ( fresh_name_pi @ SV835 @ SV755 ) )
        = $true )
      | ( ( ( SV610 = SV437 )
          | ~ ( fresh_name_pi @ SV610 @ SV926 )
          | ( SV835 = SV437 )
          | ~ ( fresh_name_pi @ SV835 @ SV681 )
          | ( SV610 = SV835 )
          | ( late_transitions @ ( par @ SV191 @ SV755 ) @ ( late_FreeR @ late_TauR @ ( res @ SV835 @ ( par @ ( subs @ SV681 @ SV610 @ SV835 ) @ SV926 ) ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV835 @ SV191 )
        = $false )
      | ( ( fresh_name_pi @ SV610 @ SV755 )
        = $false )
      | ( ( fresh_name_pi @ SV610 @ SV191 )
        = $false )
      | ( ( late_transitions @ SV755 @ ( late_BoundR @ ( late_BoundOutputS @ SV437 ) @ SV835 @ SV926 ) )
        = $false )
      | ( ( late_transitions @ SV191 @ ( late_BoundR @ ( late_InputS @ SV437 ) @ SV610 @ SV681 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4207]) ).

thf(4259,plain,
    ! [SV440: name,SV613: name,SV929: pi,SV758: pi,SV194: pi,SV684: pi,SV838: name] :
      ( ( ( ~ ( fresh_name_pi @ SV838 @ SV684 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV194 @ SV758 ) @ ( late_FreeR @ late_TauR @ ( par @ SV684 @ ( subs @ SV929 @ SV838 @ SV613 ) ) ) )
        = $true )
      | ( ( SV838 = SV613 )
        = $true )
      | ( ( SV838 = SV440 )
        = $true )
      | ( ( fresh_name_pi @ SV838 @ SV758 )
        = $false )
      | ( ( fresh_name_pi @ SV838 @ SV194 )
        = $false )
      | ( ( late_transitions @ SV758 @ ( late_BoundR @ ( late_InputS @ SV440 ) @ SV838 @ SV929 ) )
        = $false )
      | ( ( late_transitions @ SV194 @ ( late_FreeR @ ( late_OutputR @ SV440 @ SV613 ) @ SV684 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4208]) ).

thf(4260,plain,
    ! [SV441: name,SV839: name,SV685: pi,SV759: pi,SV195: pi,SV930: pi,SV614: name] :
      ( ( ( ~ ( fresh_name_pi @ SV614 @ SV930 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV195 @ SV759 ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ SV685 @ SV614 @ SV839 ) @ SV930 ) ) )
        = $true )
      | ( ( SV614 = SV839 )
        = $true )
      | ( ( SV614 = SV441 )
        = $true )
      | ( ( fresh_name_pi @ SV614 @ SV759 )
        = $false )
      | ( ( fresh_name_pi @ SV614 @ SV195 )
        = $false )
      | ( ( late_transitions @ SV759 @ ( late_FreeR @ ( late_OutputR @ SV441 @ SV839 ) @ SV930 ) )
        = $false )
      | ( ( late_transitions @ SV195 @ ( late_BoundR @ ( late_InputS @ SV441 ) @ SV614 @ SV685 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4209]) ).

thf(4261,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) )
        = $false )
      | ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4211]) ).

thf(4262,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
           != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                            | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4213]) ).

thf(4263,plain,
    ! [SV625: late_subject,SV695: name,SV767: pi,SV465: pi,SV229: pi] :
      ( ( ( ( ( par @ SV229 @ SV465 )
           != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
          | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                 != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                  | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4214]) ).

thf(4264,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
          | ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                | ~ ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( par @ SV229 @ SV465 )
               != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                     != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4215]) ).

thf(4265,plain,
    ! [SV230: pi,SV768: pi,SV987: pi > $o,SV696: name,SV626: late_subject,SV466: pi] :
      ( ( ( ~ ( late_transitions @ SV466 @ ( late_BoundR @ SV626 @ SV696 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
          | ~ ~ ( SV987 @ ( par @ SV230 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) ) )
        = $false )
      | ( ( SV987 @ SV768 )
        = $true )
      | ( ( late_transitions @ SV230 @ ( late_BoundR @ SV626 @ SV696 @ ( sK95_P4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV696 @ SV466 )
        = $false )
      | ( ( fresh_name_pi @ SV696 @ SV230 )
        = $false )
      | ( ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SV626 @ SV696 @ SV768 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4216]) ).

thf(4266,plain,
    ! [SV230: pi,SV768: pi,SV987: pi > $o,SV696: name,SV626: late_subject,SV466: pi] :
      ( ( ( ~ ( ~ ( late_transitions @ SV466 @ ( late_BoundR @ SV626 @ SV696 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
              | ~ ~ ( SV987 @ ( par @ SV230 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) ) ) )
        = $true )
      | ( ( SV987 @ SV768 )
        = $true )
      | ( ( SV987 @ ( par @ ( sK95_P4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) @ SV466 ) )
        = $false )
      | ( ( fresh_name_pi @ SV696 @ SV466 )
        = $false )
      | ( ( fresh_name_pi @ SV696 @ SV230 )
        = $false )
      | ( ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SV626 @ SV696 @ SV768 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4217]) ).

thf(4267,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                           != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                            | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) )
        = $false )
      | ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4219]) ).

thf(4268,plain,
    ! [SV232: name,SV467: pi,SV769: pi,SV697: name,SV627: late_subject] :
      ( ( ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
           != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                      | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                 != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                  | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4221]) ).

thf(4269,plain,
    ! [SV627: late_subject,SV697: name,SV769: pi,SV467: pi,SV232: name] :
      ( ( ( ( ( res @ SV232 @ SV467 )
           != ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
          | ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                 != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                      | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                            | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                       != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                  | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                        | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4222]) ).

thf(4270,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV232 @ SV467 )
               != ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                     != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                           != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                            | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4223]) ).

thf(4271,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4226]) ).

thf(4272,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4226]) ).

thf(4273,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4227]) ).

thf(4274,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4227]) ).

thf(4275,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4228]) ).

thf(4276,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                           != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4228]) ).

thf(4277,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4229]) ).

thf(4278,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4229]) ).

thf(4279,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4230]) ).

thf(4280,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                      | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                 != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                  | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4230]) ).

thf(4281,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4231]) ).

thf(4282,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                            | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                       != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                  | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                        | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4231]) ).

thf(4283,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                            | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                       != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                  | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                        | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4232]) ).

thf(4284,plain,
    ! [SV698: list_P227219501e_name,SV479: list_P227219501e_name,SV631: produc367475239e_name,SV240: produc367475239e_name] :
      ( ( ( SV240 = SV631 )
        = $true )
      | ( ( SV240 = SV631 )
        = $false )
      | ( ( SV479 = SV698 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4235]) ).

thf(4285,plain,
    ! [SV631: produc367475239e_name,SV240: produc367475239e_name,SV698: list_P227219501e_name,SV479: list_P227219501e_name] :
      ( ( ( SV479 = SV698 )
        = $true )
      | ( ( SV240 = SV631 )
        = $false )
      | ( ( SV479 = SV698 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4236]) ).

thf(4286,plain,
    ! [SV699: name,SV481: name,SV633: name,SV243: name] :
      ( ( ( SV243 = SV633 )
        = $true )
      | ( ( SV243 = SV633 )
        = $false )
      | ( ( SV481 = SV699 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4239]) ).

thf(4287,plain,
    ! [SV633: name,SV243: name,SV699: name,SV481: name] :
      ( ( ( SV481 = SV699 )
        = $true )
      | ( ( SV243 = SV633 )
        = $false )
      | ( ( SV481 = SV699 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4240]) ).

thf(4288,plain,
    ! [SV250: name,SV700: late_subject,SV488: name,SV996: pi,SV635: pi,SV770: name] :
      ( ( ( fresh_name_pi @ SV770 @ SV635 )
        = $false )
      | ( ( ( SV996
            = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
          | ! [SY2458: late_subject > name > pi > $o] : ( SY2458 @ SV700 @ SV770 @ SV996 ) )
        = $true )
      | ( ( SV770 = SV488 )
        = $true )
      | ( ( SV770 = SV250 )
        = $true )
      | ( ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SV996 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4244]) ).

thf(4289,plain,
    ! [SV997: pi,SV700: late_subject,SV488: name,SV250: name,SV635: pi,SV770: name] :
      ( ( ( fresh_name_pi @ SV770 @ SV635 )
        = $false )
      | ( ( ! [SY2459: late_subject > name > pi > $o] :
              ( ~ ( SY2459 @ ( late_InputS @ SV250 ) @ SV770 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
              | ( SY2459 @ SV700 @ SV770 @ SV997 ) ) )
        = $true )
      | ( ( SV770 = SV488 )
        = $true )
      | ( ( SV770 = SV250 )
        = $true )
      | ( ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SV997 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4245]) ).

thf(4290,plain,
    ! [SV253: name,SV771: pi,SV981: late_subject > pi > $o,SV702: name,SV638: late_subject,SV491: pi] :
      ( ( ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) )
        = $false )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( late_transitions @ SV491 @ ( late_FreeR @ ( late_OutputR @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) @ SV253 ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4248]) ).

thf(4291,plain,
    ! [SV491: pi,SV702: name,SV771: pi,SV981: late_subject > pi > $o,SV638: late_subject,SV253: name] :
      ( ( ( ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
        = $false )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( late_transitions @ SV491 @ ( late_FreeR @ ( late_OutputR @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) @ SV253 ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4248]) ).

thf(4292,plain,
    ! [SV253: name,SV491: pi,SV638: late_subject,SV702: name,SV771: pi,SV981: late_subject > pi > $o] :
      ( ( ( ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 )
         != SV253 )
        = $true )
      | ( ( ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                    | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
          | ( SV981 @ SV638 @ SV771 ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4249]) ).

thf(4293,plain,
    ! [SV253: name,SV491: pi,SV702: name,SV771: pi,SV981: late_subject > pi > $o,SV638: late_subject] :
      ( ( ( ~ ( ( SV638
               != ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
              | ~ ~ ( SV981 @ ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV702 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                    | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
          | ( SV981 @ SV638 @ SV771 ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4250]) ).

thf(4294,plain,
    ! [SV703: pi,SV495: pi,SV639: pi,SV255: pi] :
      ( ( ( SV255 = SV639 )
        = $true )
      | ( ( SV255 = SV639 )
        = $false )
      | ( ( SV495 = SV703 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4251]) ).

thf(4295,plain,
    ! [SV639: pi,SV255: pi,SV703: pi,SV495: pi] :
      ( ( ( SV495 = SV703 )
        = $true )
      | ( ( SV255 = SV639 )
        = $false )
      | ( ( SV495 = SV703 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4252]) ).

thf(4296,plain,
    ! [SV705: pi,SV497: pi,SV641: late_freeRes,SV257: late_freeRes] :
      ( ( ( SV257 = SV641 )
        = $true )
      | ( ( SV257 = SV641 )
        = $false )
      | ( ( SV497 = SV705 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4253]) ).

thf(4297,plain,
    ! [SV641: late_freeRes,SV257: late_freeRes,SV705: pi,SV497: pi] :
      ( ( ( SV497 = SV705 )
        = $true )
      | ( ( SV257 = SV641 )
        = $false )
      | ( ( SV497 = SV705 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4254]) ).

thf(4298,plain,
    ! [SV707: name,SV503: name,SV643: name,SV264: name] :
      ( ( ( SV264 = SV643 )
        = $true )
      | ( ( SV264 = SV643 )
        = $false )
      | ( ( SV503 = SV707 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4255]) ).

thf(4299,plain,
    ! [SV643: name,SV264: name,SV707: name,SV503: name] :
      ( ( ( SV503 = SV707 )
        = $true )
      | ( ( SV264 = SV643 )
        = $false )
      | ( ( SV503 = SV707 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4256]) ).

thf(4300,plain,
    ! [SV190: pi,SV925: pi,SV680: pi,SV436: name,SV834: name,SV754: pi,SV609: name] :
      ( ( ( fresh_name_pi @ SV609 @ SV754 )
        = $false )
      | ( ( ( SV834 = SV436 )
          | ~ ( fresh_name_pi @ SV834 @ SV680 )
          | ( SV609 = SV436 )
          | ~ ( fresh_name_pi @ SV609 @ SV925 )
          | ( SV834 = SV609 )
          | ( late_transitions @ ( par @ SV190 @ SV754 ) @ ( late_FreeR @ late_TauR @ ( res @ SV609 @ ( par @ SV680 @ ( subs @ SV925 @ SV834 @ SV609 ) ) ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV609 @ SV190 )
        = $false )
      | ( ( fresh_name_pi @ SV834 @ SV754 )
        = $false )
      | ( ( fresh_name_pi @ SV834 @ SV190 )
        = $false )
      | ( ( late_transitions @ SV754 @ ( late_BoundR @ ( late_InputS @ SV436 ) @ SV834 @ SV925 ) )
        = $false )
      | ( ( late_transitions @ SV190 @ ( late_BoundR @ ( late_BoundOutputS @ SV436 ) @ SV609 @ SV680 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4257]) ).

thf(4301,plain,
    ! [SV191: pi,SV681: pi,SV926: pi,SV437: name,SV610: name,SV755: pi,SV835: name] :
      ( ( ( fresh_name_pi @ SV835 @ SV755 )
        = $false )
      | ( ( ( SV610 = SV437 )
          | ~ ( fresh_name_pi @ SV610 @ SV926 )
          | ( SV835 = SV437 )
          | ~ ( fresh_name_pi @ SV835 @ SV681 )
          | ( SV610 = SV835 )
          | ( late_transitions @ ( par @ SV191 @ SV755 ) @ ( late_FreeR @ late_TauR @ ( res @ SV835 @ ( par @ ( subs @ SV681 @ SV610 @ SV835 ) @ SV926 ) ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV835 @ SV191 )
        = $false )
      | ( ( fresh_name_pi @ SV610 @ SV755 )
        = $false )
      | ( ( fresh_name_pi @ SV610 @ SV191 )
        = $false )
      | ( ( late_transitions @ SV755 @ ( late_BoundR @ ( late_BoundOutputS @ SV437 ) @ SV835 @ SV926 ) )
        = $false )
      | ( ( late_transitions @ SV191 @ ( late_BoundR @ ( late_InputS @ SV437 ) @ SV610 @ SV681 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4258]) ).

thf(4302,plain,
    ! [SV440: name,SV613: name,SV929: pi,SV758: pi,SV194: pi,SV684: pi,SV838: name] :
      ( ( ( fresh_name_pi @ SV838 @ SV684 )
        = $false )
      | ( ( late_transitions @ ( par @ SV194 @ SV758 ) @ ( late_FreeR @ late_TauR @ ( par @ SV684 @ ( subs @ SV929 @ SV838 @ SV613 ) ) ) )
        = $true )
      | ( ( SV838 = SV613 )
        = $true )
      | ( ( SV838 = SV440 )
        = $true )
      | ( ( fresh_name_pi @ SV838 @ SV758 )
        = $false )
      | ( ( fresh_name_pi @ SV838 @ SV194 )
        = $false )
      | ( ( late_transitions @ SV758 @ ( late_BoundR @ ( late_InputS @ SV440 ) @ SV838 @ SV929 ) )
        = $false )
      | ( ( late_transitions @ SV194 @ ( late_FreeR @ ( late_OutputR @ SV440 @ SV613 ) @ SV684 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4259]) ).

thf(4303,plain,
    ! [SV441: name,SV839: name,SV685: pi,SV759: pi,SV195: pi,SV930: pi,SV614: name] :
      ( ( ( fresh_name_pi @ SV614 @ SV930 )
        = $false )
      | ( ( late_transitions @ ( par @ SV195 @ SV759 ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ SV685 @ SV614 @ SV839 ) @ SV930 ) ) )
        = $true )
      | ( ( SV614 = SV839 )
        = $true )
      | ( ( SV614 = SV441 )
        = $true )
      | ( ( fresh_name_pi @ SV614 @ SV759 )
        = $false )
      | ( ( fresh_name_pi @ SV614 @ SV195 )
        = $false )
      | ( ( late_transitions @ SV759 @ ( late_FreeR @ ( late_OutputR @ SV441 @ SV839 ) @ SV930 ) )
        = $false )
      | ( ( late_transitions @ SV195 @ ( late_BoundR @ ( late_InputS @ SV441 ) @ SV614 @ SV685 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4260]) ).

thf(4304,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $false )
      | ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4261]) ).

thf(4305,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) )
        = $false )
      | ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4261]) ).

thf(4306,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
         != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4262]) ).

thf(4307,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                            | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4262]) ).

thf(4308,plain,
    ! [SV625: late_subject,SV695: name,SV767: pi,SV465: pi,SV229: pi] :
      ( ( ( ( par @ SV229 @ SV465 )
         != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4263]) ).

thf(4309,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                 != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                  | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4263]) ).

thf(4310,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( ~ ( ( ( par @ SV229 @ SV465 )
               != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                     != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4264]) ).

thf(4311,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                | ~ ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( par @ SV229 @ SV465 )
               != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                     != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4264]) ).

thf(4312,plain,
    ! [SV230: pi,SV768: pi,SV987: pi > $o,SV696: name,SV626: late_subject,SV466: pi] :
      ( ( ( ~ ( late_transitions @ SV466 @ ( late_BoundR @ SV626 @ SV696 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) ) )
        = $false )
      | ( ( SV987 @ SV768 )
        = $true )
      | ( ( late_transitions @ SV230 @ ( late_BoundR @ SV626 @ SV696 @ ( sK95_P4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV696 @ SV466 )
        = $false )
      | ( ( fresh_name_pi @ SV696 @ SV230 )
        = $false )
      | ( ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SV626 @ SV696 @ SV768 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4265]) ).

thf(4313,plain,
    ! [SV466: pi,SV626: late_subject,SV696: name,SV768: pi,SV230: pi,SV987: pi > $o] :
      ( ( ( ~ ~ ( SV987 @ ( par @ SV230 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) ) )
        = $false )
      | ( ( SV987 @ SV768 )
        = $true )
      | ( ( late_transitions @ SV230 @ ( late_BoundR @ SV626 @ SV696 @ ( sK95_P4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV696 @ SV466 )
        = $false )
      | ( ( fresh_name_pi @ SV696 @ SV230 )
        = $false )
      | ( ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SV626 @ SV696 @ SV768 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4265]) ).

thf(4314,plain,
    ! [SV230: pi,SV768: pi,SV987: pi > $o,SV696: name,SV626: late_subject,SV466: pi] :
      ( ( ( ~ ( late_transitions @ SV466 @ ( late_BoundR @ SV626 @ SV696 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
          | ~ ~ ( SV987 @ ( par @ SV230 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) ) )
        = $false )
      | ( ( SV987 @ SV768 )
        = $true )
      | ( ( SV987 @ ( par @ ( sK95_P4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) @ SV466 ) )
        = $false )
      | ( ( fresh_name_pi @ SV696 @ SV466 )
        = $false )
      | ( ( fresh_name_pi @ SV696 @ SV230 )
        = $false )
      | ( ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SV626 @ SV696 @ SV768 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4266]) ).

thf(4315,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
        = $false )
      | ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4267]) ).

thf(4316,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                           != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                            | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) )
        = $false )
      | ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4267]) ).

thf(4317,plain,
    ! [SV232: name,SV467: pi,SV769: pi,SV697: name,SV627: late_subject] :
      ( ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
         != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4268]) ).

thf(4318,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                      | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                 != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                  | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4268]) ).

thf(4319,plain,
    ! [SV627: late_subject,SV697: name,SV769: pi,SV467: pi,SV232: name] :
      ( ( ( ( res @ SV232 @ SV467 )
         != ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $false )
      | ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4269]) ).

thf(4320,plain,
    ! [SV232: name,SV467: pi,SV769: pi,SV697: name,SV627: late_subject] :
      ( ( ( ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                 != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                      | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                            | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                       != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                  | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                        | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4269]) ).

thf(4321,plain,
    ! [SV627: late_subject,SV697: name,SV769: pi,SV467: pi,SV232: name] :
      ( ( ( ( ( res @ SV232 @ SV467 )
           != ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
          | ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                 != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                      | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                            | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                       != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                  | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                        | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) )
        = $false )
      | ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4270]) ).

thf(4322,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4271]) ).

thf(4323,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4272]) ).

thf(4324,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4273]) ).

thf(4325,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4274]) ).

thf(4326,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4275]) ).

thf(4327,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
              | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                         != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                          | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4276]) ).

thf(4328,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4277]) ).

thf(4329,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4278]) ).

thf(4330,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4279]) ).

thf(4331,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                    | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                               != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4280]) ).

thf(4332,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4281]) ).

thf(4333,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                          | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                     != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4282]) ).

thf(4334,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4283]) ).

thf(4335,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                            | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                       != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                  | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                        | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4283]) ).

thf(4336,plain,
    ! [SV250: name,SV700: late_subject,SV635: pi,SV770: name,SV488: name,SV996: pi] :
      ( ( ( SV996
          = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
        = $true )
      | ( ( ! [SY2458: late_subject > name > pi > $o] : ( SY2458 @ SV700 @ SV770 @ SV996 ) )
        = $true )
      | ( ( fresh_name_pi @ SV770 @ SV635 )
        = $false )
      | ( ( SV770 = SV488 )
        = $true )
      | ( ( SV770 = SV250 )
        = $true )
      | ( ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SV996 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4288]) ).

thf(4337,plain,
    ! [SV997: pi,SV700: late_subject,SV635: pi,SV488: name,SV770: name,SV250: name,SV1013: late_subject > name > pi > $o] :
      ( ( ( ~ ( SV1013 @ ( late_InputS @ SV250 ) @ SV770 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
          | ( SV1013 @ SV700 @ SV770 @ SV997 ) )
        = $true )
      | ( ( fresh_name_pi @ SV770 @ SV635 )
        = $false )
      | ( ( SV770 = SV488 )
        = $true )
      | ( ( SV770 = SV250 )
        = $true )
      | ( ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SV997 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4289]) ).

thf(4338,plain,
    ! [SV253: name,SV771: pi,SV981: late_subject > pi > $o,SV702: name,SV638: late_subject,SV491: pi] :
      ( ( ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $true )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( late_transitions @ SV491 @ ( late_FreeR @ ( late_OutputR @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) @ SV253 ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4290]) ).

thf(4339,plain,
    ! [SV491: pi,SV702: name,SV771: pi,SV981: late_subject > pi > $o,SV638: late_subject,SV253: name] :
      ( ( ( ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
              | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
        = $true )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( late_transitions @ SV491 @ ( late_FreeR @ ( late_OutputR @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) @ SV253 ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4291]) ).

thf(4340,plain,
    ! [SV253: name,SV491: pi,SV638: late_subject,SV702: name,SV771: pi,SV981: late_subject > pi > $o] :
      ( ( ( ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 )
          = SV253 )
        = $false )
      | ( ( ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                    | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
          | ( SV981 @ SV638 @ SV771 ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4292]) ).

thf(4341,plain,
    ! [SV253: name,SV491: pi,SV702: name,SV771: pi,SV981: late_subject > pi > $o,SV638: late_subject] :
      ( ( ( ( SV638
           != ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
          | ~ ~ ( SV981 @ ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV702 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                    | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
          | ( SV981 @ SV638 @ SV771 ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4293]) ).

thf(4342,plain,
    ! [SV754: pi,SV190: pi,SV925: pi,SV609: name,SV680: pi,SV436: name,SV834: name] :
      ( ( ( SV834 = SV436 )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV834 @ SV680 )
          | ( SV609 = SV436 )
          | ~ ( fresh_name_pi @ SV609 @ SV925 )
          | ( SV834 = SV609 )
          | ( late_transitions @ ( par @ SV190 @ SV754 ) @ ( late_FreeR @ late_TauR @ ( res @ SV609 @ ( par @ SV680 @ ( subs @ SV925 @ SV834 @ SV609 ) ) ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV609 @ SV754 )
        = $false )
      | ( ( fresh_name_pi @ SV609 @ SV190 )
        = $false )
      | ( ( fresh_name_pi @ SV834 @ SV754 )
        = $false )
      | ( ( fresh_name_pi @ SV834 @ SV190 )
        = $false )
      | ( ( late_transitions @ SV754 @ ( late_BoundR @ ( late_InputS @ SV436 ) @ SV834 @ SV925 ) )
        = $false )
      | ( ( late_transitions @ SV190 @ ( late_BoundR @ ( late_BoundOutputS @ SV436 ) @ SV609 @ SV680 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4300]) ).

thf(4343,plain,
    ! [SV755: pi,SV191: pi,SV681: pi,SV835: name,SV926: pi,SV437: name,SV610: name] :
      ( ( ( SV610 = SV437 )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV610 @ SV926 )
          | ( SV835 = SV437 )
          | ~ ( fresh_name_pi @ SV835 @ SV681 )
          | ( SV610 = SV835 )
          | ( late_transitions @ ( par @ SV191 @ SV755 ) @ ( late_FreeR @ late_TauR @ ( res @ SV835 @ ( par @ ( subs @ SV681 @ SV610 @ SV835 ) @ SV926 ) ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV835 @ SV755 )
        = $false )
      | ( ( fresh_name_pi @ SV835 @ SV191 )
        = $false )
      | ( ( fresh_name_pi @ SV610 @ SV755 )
        = $false )
      | ( ( fresh_name_pi @ SV610 @ SV191 )
        = $false )
      | ( ( late_transitions @ SV755 @ ( late_BoundR @ ( late_BoundOutputS @ SV437 ) @ SV835 @ SV926 ) )
        = $false )
      | ( ( late_transitions @ SV191 @ ( late_BoundR @ ( late_InputS @ SV437 ) @ SV610 @ SV681 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4301]) ).

thf(4344,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4304]) ).

thf(4345,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
              | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                    | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) )
        = $true )
      | ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4305]) ).

thf(4346,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4306]) ).

thf(4347,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                    | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                          | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) )
        = $true )
      | ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4307]) ).

thf(4348,plain,
    ! [SV625: late_subject,SV695: name,SV767: pi,SV465: pi,SV229: pi] :
      ( ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4308]) ).

thf(4349,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
               != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                    | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4309]) ).

thf(4350,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( ~ ( ( ( par @ SV229 @ SV465 )
               != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                     != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4310]) ).

thf(4351,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
              | ~ ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( ~ ( ( ( par @ SV229 @ SV465 )
               != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                     != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4311]) ).

thf(4352,plain,
    ! [SV230: pi,SV768: pi,SV987: pi > $o,SV696: name,SV626: late_subject,SV466: pi] :
      ( ( ( late_transitions @ SV466 @ ( late_BoundR @ SV626 @ SV696 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
        = $true )
      | ( ( SV987 @ SV768 )
        = $true )
      | ( ( late_transitions @ SV230 @ ( late_BoundR @ SV626 @ SV696 @ ( sK95_P4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV696 @ SV466 )
        = $false )
      | ( ( fresh_name_pi @ SV696 @ SV230 )
        = $false )
      | ( ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SV626 @ SV696 @ SV768 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4312]) ).

thf(4353,plain,
    ! [SV466: pi,SV626: late_subject,SV696: name,SV768: pi,SV230: pi,SV987: pi > $o] :
      ( ( ( ~ ( SV987 @ ( par @ SV230 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) ) )
        = $true )
      | ( ( SV987 @ SV768 )
        = $true )
      | ( ( late_transitions @ SV230 @ ( late_BoundR @ SV626 @ SV696 @ ( sK95_P4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV696 @ SV466 )
        = $false )
      | ( ( fresh_name_pi @ SV696 @ SV230 )
        = $false )
      | ( ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SV626 @ SV696 @ SV768 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4313]) ).

thf(4354,plain,
    ! [SV230: pi,SV768: pi,SV987: pi > $o,SV696: name,SV626: late_subject,SV466: pi] :
      ( ( ( ~ ( late_transitions @ SV466 @ ( late_BoundR @ SV626 @ SV696 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) ) )
        = $false )
      | ( ( SV987 @ SV768 )
        = $true )
      | ( ( SV987 @ ( par @ ( sK95_P4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) @ SV466 ) )
        = $false )
      | ( ( fresh_name_pi @ SV696 @ SV466 )
        = $false )
      | ( ( fresh_name_pi @ SV696 @ SV230 )
        = $false )
      | ( ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SV626 @ SV696 @ SV768 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4314]) ).

thf(4355,plain,
    ! [SV466: pi,SV626: late_subject,SV696: name,SV768: pi,SV230: pi,SV987: pi > $o] :
      ( ( ( ~ ~ ( SV987 @ ( par @ SV230 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) ) )
        = $false )
      | ( ( SV987 @ SV768 )
        = $true )
      | ( ( SV987 @ ( par @ ( sK95_P4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) @ SV466 ) )
        = $false )
      | ( ( fresh_name_pi @ SV696 @ SV466 )
        = $false )
      | ( ( fresh_name_pi @ SV696 @ SV230 )
        = $false )
      | ( ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SV626 @ SV696 @ SV768 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4314]) ).

thf(4356,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4315]) ).

thf(4357,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
              | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                         != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                    | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                          | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4316]) ).

thf(4358,plain,
    ! [SV232: name,SV467: pi,SV769: pi,SV697: name,SV627: late_subject] :
      ( ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
        = $true )
      | ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4317]) ).

thf(4359,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                    | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                               != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) )
        = $true )
      | ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4318]) ).

thf(4360,plain,
    ! [SV627: late_subject,SV697: name,SV769: pi,SV467: pi,SV232: name] :
      ( ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4319]) ).

thf(4361,plain,
    ! [SV232: name,SV467: pi,SV769: pi,SV697: name,SV627: late_subject] :
      ( ( ( ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
               != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                    | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                          | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                     != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4320]) ).

thf(4362,plain,
    ! [SV627: late_subject,SV697: name,SV769: pi,SV467: pi,SV232: name] :
      ( ( ( ( res @ SV232 @ SV467 )
         != ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $false )
      | ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4321]) ).

thf(4363,plain,
    ! [SV232: name,SV467: pi,SV769: pi,SV697: name,SV627: late_subject] :
      ( ( ( ~ ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
                 != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                      | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                            | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                       != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                  | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                        | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) )
        = $false )
      | ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4321]) ).

thf(4364,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4323]) ).

thf(4365,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4325]) ).

thf(4366,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4326]) ).

thf(4367,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
          | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                     != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                      | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4327]) ).

thf(4368,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4329]) ).

thf(4369,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4330]) ).

thf(4370,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                           != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4331]) ).

thf(4371,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4332]) ).

thf(4372,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                      | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                 != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                  | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4333]) ).

thf(4373,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4334]) ).

thf(4374,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                          | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                     != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4335]) ).

thf(4375,plain,
    ! [SV250: name,SV635: pi,SV488: name,SV996: pi,SV770: name,SV700: late_subject,SV1014: late_subject > name > pi > $o] :
      ( ( ( SV1014 @ SV700 @ SV770 @ SV996 )
        = $true )
      | ( ( SV996
          = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
        = $true )
      | ( ( fresh_name_pi @ SV770 @ SV635 )
        = $false )
      | ( ( SV770 = SV488 )
        = $true )
      | ( ( SV770 = SV250 )
        = $true )
      | ( ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SV996 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4336]) ).

thf(4376,plain,
    ! [SV997: pi,SV700: late_subject,SV635: pi,SV488: name,SV770: name,SV250: name,SV1013: late_subject > name > pi > $o] :
      ( ( ( ~ ( SV1013 @ ( late_InputS @ SV250 ) @ SV770 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) ) )
        = $true )
      | ( ( SV1013 @ SV700 @ SV770 @ SV997 )
        = $true )
      | ( ( fresh_name_pi @ SV770 @ SV635 )
        = $false )
      | ( ( SV770 = SV488 )
        = $true )
      | ( ( SV770 = SV250 )
        = $true )
      | ( ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SV997 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4337]) ).

thf(4377,plain,
    ! [SV491: pi,SV702: name,SV771: pi,SV981: late_subject > pi > $o,SV638: late_subject,SV253: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
          | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) )
        = $false )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( late_transitions @ SV491 @ ( late_FreeR @ ( late_OutputR @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) @ SV253 ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4339]) ).

thf(4378,plain,
    ! [SV253: name,SV771: pi,SV981: late_subject > pi > $o,SV702: name,SV638: late_subject,SV491: pi] :
      ( ( ( ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                    | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) ) )
        = $true )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 )
          = SV253 )
        = $false )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4340]) ).

thf(4379,plain,
    ! [SV253: name,SV491: pi,SV702: name,SV771: pi,SV981: late_subject > pi > $o,SV638: late_subject] :
      ( ( ( SV638
         != ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $false )
      | ( ( ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                    | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
          | ( SV981 @ SV638 @ SV771 ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4341]) ).

thf(4380,plain,
    ! [SV253: name,SV491: pi,SV638: late_subject,SV702: name,SV771: pi,SV981: late_subject > pi > $o] :
      ( ( ( ~ ~ ( SV981 @ ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV702 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                    | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
          | ( SV981 @ SV638 @ SV771 ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4341]) ).

thf(4381,plain,
    ! [SV754: pi,SV190: pi,SV925: pi,SV436: name,SV609: name,SV680: pi,SV834: name] :
      ( ( ( ~ ( fresh_name_pi @ SV834 @ SV680 ) )
        = $true )
      | ( ( ( SV609 = SV436 )
          | ~ ( fresh_name_pi @ SV609 @ SV925 )
          | ( SV834 = SV609 )
          | ( late_transitions @ ( par @ SV190 @ SV754 ) @ ( late_FreeR @ late_TauR @ ( res @ SV609 @ ( par @ SV680 @ ( subs @ SV925 @ SV834 @ SV609 ) ) ) ) ) )
        = $true )
      | ( ( SV834 = SV436 )
        = $true )
      | ( ( fresh_name_pi @ SV609 @ SV754 )
        = $false )
      | ( ( fresh_name_pi @ SV609 @ SV190 )
        = $false )
      | ( ( fresh_name_pi @ SV834 @ SV754 )
        = $false )
      | ( ( fresh_name_pi @ SV834 @ SV190 )
        = $false )
      | ( ( late_transitions @ SV754 @ ( late_BoundR @ ( late_InputS @ SV436 ) @ SV834 @ SV925 ) )
        = $false )
      | ( ( late_transitions @ SV190 @ ( late_BoundR @ ( late_BoundOutputS @ SV436 ) @ SV609 @ SV680 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4342]) ).

thf(4382,plain,
    ! [SV755: pi,SV191: pi,SV681: pi,SV437: name,SV835: name,SV926: pi,SV610: name] :
      ( ( ( ~ ( fresh_name_pi @ SV610 @ SV926 ) )
        = $true )
      | ( ( ( SV835 = SV437 )
          | ~ ( fresh_name_pi @ SV835 @ SV681 )
          | ( SV610 = SV835 )
          | ( late_transitions @ ( par @ SV191 @ SV755 ) @ ( late_FreeR @ late_TauR @ ( res @ SV835 @ ( par @ ( subs @ SV681 @ SV610 @ SV835 ) @ SV926 ) ) ) ) )
        = $true )
      | ( ( SV610 = SV437 )
        = $true )
      | ( ( fresh_name_pi @ SV835 @ SV755 )
        = $false )
      | ( ( fresh_name_pi @ SV835 @ SV191 )
        = $false )
      | ( ( fresh_name_pi @ SV610 @ SV755 )
        = $false )
      | ( ( fresh_name_pi @ SV610 @ SV191 )
        = $false )
      | ( ( late_transitions @ SV755 @ ( late_BoundR @ ( late_BoundOutputS @ SV437 ) @ SV835 @ SV926 ) )
        = $false )
      | ( ( late_transitions @ SV191 @ ( late_BoundR @ ( late_InputS @ SV437 ) @ SV610 @ SV681 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4343]) ).

thf(4383,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $false )
      | ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4345]) ).

thf(4384,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4347]) ).

thf(4385,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
           != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                            | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4349]) ).

thf(4386,plain,
    ! [SV625: late_subject,SV695: name,SV767: pi,SV465: pi,SV229: pi] :
      ( ( ( ( ( par @ SV229 @ SV465 )
           != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
          | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                 != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                  | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4350]) ).

thf(4387,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
          | ~ ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( ~ ( ( ( par @ SV229 @ SV465 )
               != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                     != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4351]) ).

thf(4388,plain,
    ! [SV466: pi,SV626: late_subject,SV696: name,SV768: pi,SV230: pi,SV987: pi > $o] :
      ( ( ( SV987 @ ( par @ SV230 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
        = $false )
      | ( ( SV987 @ SV768 )
        = $true )
      | ( ( late_transitions @ SV230 @ ( late_BoundR @ SV626 @ SV696 @ ( sK95_P4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV696 @ SV466 )
        = $false )
      | ( ( fresh_name_pi @ SV696 @ SV230 )
        = $false )
      | ( ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SV626 @ SV696 @ SV768 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4353]) ).

thf(4389,plain,
    ! [SV230: pi,SV768: pi,SV987: pi > $o,SV696: name,SV626: late_subject,SV466: pi] :
      ( ( ( late_transitions @ SV466 @ ( late_BoundR @ SV626 @ SV696 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
        = $true )
      | ( ( SV987 @ SV768 )
        = $true )
      | ( ( SV987 @ ( par @ ( sK95_P4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) @ SV466 ) )
        = $false )
      | ( ( fresh_name_pi @ SV696 @ SV466 )
        = $false )
      | ( ( fresh_name_pi @ SV696 @ SV230 )
        = $false )
      | ( ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SV626 @ SV696 @ SV768 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4354]) ).

thf(4390,plain,
    ! [SV466: pi,SV626: late_subject,SV696: name,SV768: pi,SV230: pi,SV987: pi > $o] :
      ( ( ( ~ ( SV987 @ ( par @ SV230 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) ) )
        = $true )
      | ( ( SV987 @ SV768 )
        = $true )
      | ( ( SV987 @ ( par @ ( sK95_P4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) @ SV466 ) )
        = $false )
      | ( ( fresh_name_pi @ SV696 @ SV466 )
        = $false )
      | ( ( fresh_name_pi @ SV696 @ SV230 )
        = $false )
      | ( ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SV626 @ SV696 @ SV768 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4355]) ).

thf(4391,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
          | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                     != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                      | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) )
        = $false )
      | ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4357]) ).

thf(4392,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                           != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                            | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4359]) ).

thf(4393,plain,
    ! [SV232: name,SV467: pi,SV769: pi,SV697: name,SV627: late_subject] :
      ( ( ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
           != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                      | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                 != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                  | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4361]) ).

thf(4394,plain,
    ! [SV627: late_subject,SV697: name,SV769: pi,SV467: pi,SV232: name] :
      ( ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4362]) ).

thf(4395,plain,
    ! [SV232: name,SV467: pi,SV769: pi,SV697: name,SV627: late_subject] :
      ( ( ( ~ ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
               != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                    | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                          | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                     != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) ) )
        = $true )
      | ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4363]) ).

thf(4396,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4364]) ).

thf(4397,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4364]) ).

thf(4398,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4365]) ).

thf(4399,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4365]) ).

thf(4400,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4366]) ).

thf(4401,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4366]) ).

thf(4402,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4367]) ).

thf(4403,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                     != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                      | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4367]) ).

thf(4404,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4368]) ).

thf(4405,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4368]) ).

thf(4406,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4369]) ).

thf(4407,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4369]) ).

thf(4408,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4370]) ).

thf(4409,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                           != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4370]) ).

thf(4410,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4371]) ).

thf(4411,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4371]) ).

thf(4412,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4372]) ).

thf(4413,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                      | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                 != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                  | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4372]) ).

thf(4414,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4373]) ).

thf(4415,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                      | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                 != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                  | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4374]) ).

thf(4416,plain,
    ! [SV997: pi,SV700: late_subject,SV635: pi,SV488: name,SV770: name,SV250: name,SV1013: late_subject > name > pi > $o] :
      ( ( ( SV1013 @ ( late_InputS @ SV250 ) @ SV770 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV488 @ SV770 ) @ nil_Pr743626285e_name ) @ SV635 ) )
        = $false )
      | ( ( SV1013 @ SV700 @ SV770 @ SV997 )
        = $true )
      | ( ( fresh_name_pi @ SV770 @ SV635 )
        = $false )
      | ( ( SV770 = SV488 )
        = $true )
      | ( ( SV770 = SV250 )
        = $true )
      | ( ( late_transitions @ ( input @ SV250 @ SV488 @ SV635 ) @ ( late_BoundR @ SV700 @ SV770 @ SV997 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4376]) ).

thf(4417,plain,
    ! [SV702: name,SV491: pi,SV771: pi,SV981: late_subject > pi > $o,SV638: late_subject,SV253: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV253 @ SV638 ) )
        = $false )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( late_transitions @ SV491 @ ( late_FreeR @ ( late_OutputR @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) @ SV253 ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4377]) ).

thf(4418,plain,
    ! [SV491: pi,SV702: name,SV771: pi,SV253: name,SV638: late_subject,SV981: late_subject > pi > $o] :
      ( ( ( ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) )
        = $false )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( late_transitions @ SV491 @ ( late_FreeR @ ( late_OutputR @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) @ SV253 ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4377]) ).

thf(4419,plain,
    ! [SV253: name,SV771: pi,SV981: late_subject > pi > $o,SV702: name,SV638: late_subject,SV491: pi] :
      ( ( ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
          | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
        = $false )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 )
          = SV253 )
        = $false )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4378]) ).

thf(4420,plain,
    ! [SV253: name,SV491: pi,SV702: name,SV771: pi,SV981: late_subject > pi > $o,SV638: late_subject] :
      ( ( ( SV638
          = ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $true )
      | ( ( ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                    | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
          | ( SV981 @ SV638 @ SV771 ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4379]) ).

thf(4421,plain,
    ! [SV253: name,SV491: pi,SV638: late_subject,SV702: name,SV771: pi,SV981: late_subject > pi > $o] :
      ( ( ( ~ ( SV981 @ ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV702 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                    | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
          | ( SV981 @ SV638 @ SV771 ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4380]) ).

thf(4422,plain,
    ! [SV754: pi,SV190: pi,SV925: pi,SV436: name,SV609: name,SV680: pi,SV834: name] :
      ( ( ( fresh_name_pi @ SV834 @ SV680 )
        = $false )
      | ( ( ( SV609 = SV436 )
          | ~ ( fresh_name_pi @ SV609 @ SV925 )
          | ( SV834 = SV609 )
          | ( late_transitions @ ( par @ SV190 @ SV754 ) @ ( late_FreeR @ late_TauR @ ( res @ SV609 @ ( par @ SV680 @ ( subs @ SV925 @ SV834 @ SV609 ) ) ) ) ) )
        = $true )
      | ( ( SV834 = SV436 )
        = $true )
      | ( ( fresh_name_pi @ SV609 @ SV754 )
        = $false )
      | ( ( fresh_name_pi @ SV609 @ SV190 )
        = $false )
      | ( ( fresh_name_pi @ SV834 @ SV754 )
        = $false )
      | ( ( fresh_name_pi @ SV834 @ SV190 )
        = $false )
      | ( ( late_transitions @ SV754 @ ( late_BoundR @ ( late_InputS @ SV436 ) @ SV834 @ SV925 ) )
        = $false )
      | ( ( late_transitions @ SV190 @ ( late_BoundR @ ( late_BoundOutputS @ SV436 ) @ SV609 @ SV680 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4381]) ).

thf(4423,plain,
    ! [SV755: pi,SV191: pi,SV681: pi,SV437: name,SV835: name,SV926: pi,SV610: name] :
      ( ( ( fresh_name_pi @ SV610 @ SV926 )
        = $false )
      | ( ( ( SV835 = SV437 )
          | ~ ( fresh_name_pi @ SV835 @ SV681 )
          | ( SV610 = SV835 )
          | ( late_transitions @ ( par @ SV191 @ SV755 ) @ ( late_FreeR @ late_TauR @ ( res @ SV835 @ ( par @ ( subs @ SV681 @ SV610 @ SV835 ) @ SV926 ) ) ) ) )
        = $true )
      | ( ( SV610 = SV437 )
        = $true )
      | ( ( fresh_name_pi @ SV835 @ SV755 )
        = $false )
      | ( ( fresh_name_pi @ SV835 @ SV191 )
        = $false )
      | ( ( fresh_name_pi @ SV610 @ SV755 )
        = $false )
      | ( ( fresh_name_pi @ SV610 @ SV191 )
        = $false )
      | ( ( late_transitions @ SV755 @ ( late_BoundR @ ( late_BoundOutputS @ SV437 ) @ SV835 @ SV926 ) )
        = $false )
      | ( ( late_transitions @ SV191 @ ( late_BoundR @ ( late_InputS @ SV437 ) @ SV610 @ SV681 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4382]) ).

thf(4424,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4383]) ).

thf(4425,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $false )
      | ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4383]) ).

thf(4426,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4384]) ).

thf(4427,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4384]) ).

thf(4428,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
         != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4385]) ).

thf(4429,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                            | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4385]) ).

thf(4430,plain,
    ! [SV625: late_subject,SV695: name,SV767: pi,SV465: pi,SV229: pi] :
      ( ( ( ( par @ SV229 @ SV465 )
         != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4386]) ).

thf(4431,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                 != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                  | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4386]) ).

thf(4432,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( ~ ( ( ( par @ SV229 @ SV465 )
               != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                     != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4387]) ).

thf(4433,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( ~ ( ( ( par @ SV229 @ SV465 )
               != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                     != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4387]) ).

thf(4434,plain,
    ! [SV466: pi,SV626: late_subject,SV696: name,SV768: pi,SV230: pi,SV987: pi > $o] :
      ( ( ( SV987 @ ( par @ SV230 @ ( sK94_Q4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) ) )
        = $false )
      | ( ( SV987 @ SV768 )
        = $true )
      | ( ( SV987 @ ( par @ ( sK95_P4 @ SV987 @ SV768 @ SV696 @ SV626 @ SV466 @ SV230 ) @ SV466 ) )
        = $false )
      | ( ( fresh_name_pi @ SV696 @ SV466 )
        = $false )
      | ( ( fresh_name_pi @ SV696 @ SV230 )
        = $false )
      | ( ( late_transitions @ ( par @ SV230 @ SV466 ) @ ( late_BoundR @ SV626 @ SV696 @ SV768 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4390]) ).

thf(4435,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $false )
      | ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4391]) ).

thf(4436,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                     != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                      | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) )
        = $false )
      | ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4391]) ).

thf(4437,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4392]) ).

thf(4438,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                           != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                            | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4392]) ).

thf(4439,plain,
    ! [SV232: name,SV467: pi,SV769: pi,SV697: name,SV627: late_subject] :
      ( ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
         != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4393]) ).

thf(4440,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                      | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                 != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                  | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4393]) ).

thf(4441,plain,
    ! [SV232: name,SV467: pi,SV769: pi,SV697: name,SV627: late_subject] :
      ( ( ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
           != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                      | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                 != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                  | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) )
        = $false )
      | ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4395]) ).

thf(4442,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4396]) ).

thf(4443,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4397]) ).

thf(4444,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4398]) ).

thf(4445,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4399]) ).

thf(4446,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4400]) ).

thf(4447,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4401]) ).

thf(4448,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4402]) ).

thf(4449,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                   != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                    | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4403]) ).

thf(4450,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4404]) ).

thf(4451,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4405]) ).

thf(4452,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4406]) ).

thf(4453,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4407]) ).

thf(4454,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4408]) ).

thf(4455,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
              | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                         != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                          | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4409]) ).

thf(4456,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4410]) ).

thf(4457,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4411]) ).

thf(4458,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4412]) ).

thf(4459,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                    | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                               != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4413]) ).

thf(4460,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4414]) ).

thf(4461,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4414]) ).

thf(4462,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4415]) ).

thf(4463,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                      | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                                 != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                  | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4415]) ).

thf(4464,plain,
    ! [SV702: name,SV491: pi,SV771: pi,SV981: late_subject > pi > $o,SV638: late_subject,SV253: name] :
      ( ( ( fresh_717452603ubject @ SV253 @ SV638 )
        = $true )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( late_transitions @ SV491 @ ( late_FreeR @ ( late_OutputR @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) @ SV253 ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4417]) ).

thf(4465,plain,
    ! [SV491: pi,SV702: name,SV771: pi,SV253: name,SV638: late_subject,SV981: late_subject > pi > $o] :
      ( ( ( ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) )
        = $true )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( late_transitions @ SV491 @ ( late_FreeR @ ( late_OutputR @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) @ SV253 ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4418]) ).

thf(4466,plain,
    ! [SV253: name,SV771: pi,SV981: late_subject > pi > $o,SV702: name,SV638: late_subject,SV491: pi] :
      ( ( ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) )
        = $false )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 )
          = SV253 )
        = $false )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4419]) ).

thf(4467,plain,
    ! [SV491: pi,SV702: name,SV771: pi,SV981: late_subject > pi > $o,SV638: late_subject,SV253: name] :
      ( ( ( ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
        = $false )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 )
          = SV253 )
        = $false )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4419]) ).

thf(4468,plain,
    ! [SV253: name,SV771: pi,SV981: late_subject > pi > $o,SV702: name,SV638: late_subject,SV491: pi] :
      ( ( ( ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                    | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) ) )
        = $true )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( SV638
          = ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4420]) ).

thf(4469,plain,
    ! [SV253: name,SV491: pi,SV638: late_subject,SV702: name,SV771: pi,SV981: late_subject > pi > $o] :
      ( ( ( SV981 @ ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV702 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $false )
      | ( ( ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                    | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
          | ( SV981 @ SV638 @ SV771 ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4421]) ).

thf(4470,plain,
    ! [SV680: pi,SV754: pi,SV190: pi,SV834: name,SV925: pi,SV436: name,SV609: name] :
      ( ( ( SV609 = SV436 )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV609 @ SV925 )
          | ( SV834 = SV609 )
          | ( late_transitions @ ( par @ SV190 @ SV754 ) @ ( late_FreeR @ late_TauR @ ( res @ SV609 @ ( par @ SV680 @ ( subs @ SV925 @ SV834 @ SV609 ) ) ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV834 @ SV680 )
        = $false )
      | ( ( SV834 = SV436 )
        = $true )
      | ( ( fresh_name_pi @ SV609 @ SV754 )
        = $false )
      | ( ( fresh_name_pi @ SV609 @ SV190 )
        = $false )
      | ( ( fresh_name_pi @ SV834 @ SV754 )
        = $false )
      | ( ( fresh_name_pi @ SV834 @ SV190 )
        = $false )
      | ( ( late_transitions @ SV754 @ ( late_BoundR @ ( late_InputS @ SV436 ) @ SV834 @ SV925 ) )
        = $false )
      | ( ( late_transitions @ SV190 @ ( late_BoundR @ ( late_BoundOutputS @ SV436 ) @ SV609 @ SV680 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4422]) ).

thf(4471,plain,
    ! [SV926: pi,SV755: pi,SV191: pi,SV610: name,SV681: pi,SV437: name,SV835: name] :
      ( ( ( SV835 = SV437 )
        = $true )
      | ( ( ~ ( fresh_name_pi @ SV835 @ SV681 )
          | ( SV610 = SV835 )
          | ( late_transitions @ ( par @ SV191 @ SV755 ) @ ( late_FreeR @ late_TauR @ ( res @ SV835 @ ( par @ ( subs @ SV681 @ SV610 @ SV835 ) @ SV926 ) ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV610 @ SV926 )
        = $false )
      | ( ( SV610 = SV437 )
        = $true )
      | ( ( fresh_name_pi @ SV835 @ SV755 )
        = $false )
      | ( ( fresh_name_pi @ SV835 @ SV191 )
        = $false )
      | ( ( fresh_name_pi @ SV610 @ SV755 )
        = $false )
      | ( ( fresh_name_pi @ SV610 @ SV191 )
        = $false )
      | ( ( late_transitions @ SV755 @ ( late_BoundR @ ( late_BoundOutputS @ SV437 ) @ SV835 @ SV926 ) )
        = $false )
      | ( ( late_transitions @ SV191 @ ( late_BoundR @ ( late_InputS @ SV437 ) @ SV610 @ SV681 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4423]) ).

thf(4472,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4424]) ).

thf(4473,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
              | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4425]) ).

thf(4474,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4426]) ).

thf(4475,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
              | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                    | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) )
        = $true )
      | ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4427]) ).

thf(4476,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4428]) ).

thf(4477,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                    | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                          | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4429]) ).

thf(4478,plain,
    ! [SV625: late_subject,SV695: name,SV767: pi,SV465: pi,SV229: pi] :
      ( ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4430]) ).

thf(4479,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
               != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                    | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4431]) ).

thf(4480,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( ~ ( ( ( par @ SV229 @ SV465 )
               != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                     != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4432]) ).

thf(4481,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( ~ ( ( ( par @ SV229 @ SV465 )
               != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                     != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4433]) ).

thf(4482,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $true )
      | ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4435]) ).

thf(4483,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                   != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                    | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) )
        = $true )
      | ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4436]) ).

thf(4484,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4437]) ).

thf(4485,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
              | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                         != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                    | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                          | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) )
        = $true )
      | ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4438]) ).

thf(4486,plain,
    ! [SV232: name,SV467: pi,SV769: pi,SV697: name,SV627: late_subject] :
      ( ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4439]) ).

thf(4487,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                    | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                               != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4440]) ).

thf(4488,plain,
    ! [SV232: name,SV467: pi,SV769: pi,SV697: name,SV627: late_subject] :
      ( ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
         != ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
        = $false )
      | ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4441]) ).

thf(4489,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                      | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                                 != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                  | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) )
        = $false )
      | ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4441]) ).

thf(4490,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4445]) ).

thf(4491,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4447]) ).

thf(4492,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4448]) ).

thf(4493,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
               != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4449]) ).

thf(4494,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4451]) ).

thf(4495,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4453]) ).

thf(4496,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4454]) ).

thf(4497,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
          | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                     != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                      | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4455]) ).

thf(4498,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4457]) ).

thf(4499,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4458]) ).

thf(4500,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                           != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4459]) ).

thf(4501,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4460]) ).

thf(4502,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4461]) ).

thf(4503,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4462]) ).

thf(4504,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                    | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                               != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                                | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4463]) ).

thf(4505,plain,
    ! [SV491: pi,SV702: name,SV771: pi,SV253: name,SV638: late_subject,SV981: late_subject > pi > $o] :
      ( ( ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $false )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( late_transitions @ SV491 @ ( late_FreeR @ ( late_OutputR @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) @ SV253 ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4465]) ).

thf(4506,plain,
    ! [SV253: name,SV771: pi,SV981: late_subject > pi > $o,SV702: name,SV638: late_subject,SV491: pi] :
      ( ( ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $true )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 )
          = SV253 )
        = $false )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4466]) ).

thf(4507,plain,
    ! [SV491: pi,SV702: name,SV771: pi,SV981: late_subject > pi > $o,SV638: late_subject,SV253: name] :
      ( ( ( ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
              | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
        = $true )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 )
          = SV253 )
        = $false )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4467]) ).

thf(4508,plain,
    ! [SV253: name,SV771: pi,SV981: late_subject > pi > $o,SV702: name,SV638: late_subject,SV491: pi] :
      ( ( ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
          | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
        = $false )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( SV638
          = ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4468]) ).

thf(4509,plain,
    ! [SV253: name,SV771: pi,SV981: late_subject > pi > $o,SV702: name,SV638: late_subject,SV491: pi] :
      ( ( ( ~ ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                    | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) ) )
        = $true )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( SV981 @ ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV702 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $false )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4469]) ).

thf(4510,plain,
    ! [SV436: name,SV680: pi,SV754: pi,SV190: pi,SV834: name,SV925: pi,SV609: name] :
      ( ( ( ~ ( fresh_name_pi @ SV609 @ SV925 ) )
        = $true )
      | ( ( ( SV834 = SV609 )
          | ( late_transitions @ ( par @ SV190 @ SV754 ) @ ( late_FreeR @ late_TauR @ ( res @ SV609 @ ( par @ SV680 @ ( subs @ SV925 @ SV834 @ SV609 ) ) ) ) ) )
        = $true )
      | ( ( SV609 = SV436 )
        = $true )
      | ( ( fresh_name_pi @ SV834 @ SV680 )
        = $false )
      | ( ( SV834 = SV436 )
        = $true )
      | ( ( fresh_name_pi @ SV609 @ SV754 )
        = $false )
      | ( ( fresh_name_pi @ SV609 @ SV190 )
        = $false )
      | ( ( fresh_name_pi @ SV834 @ SV754 )
        = $false )
      | ( ( fresh_name_pi @ SV834 @ SV190 )
        = $false )
      | ( ( late_transitions @ SV754 @ ( late_BoundR @ ( late_InputS @ SV436 ) @ SV834 @ SV925 ) )
        = $false )
      | ( ( late_transitions @ SV190 @ ( late_BoundR @ ( late_BoundOutputS @ SV436 ) @ SV609 @ SV680 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4470]) ).

thf(4511,plain,
    ! [SV437: name,SV926: pi,SV755: pi,SV191: pi,SV610: name,SV681: pi,SV835: name] :
      ( ( ( ~ ( fresh_name_pi @ SV835 @ SV681 ) )
        = $true )
      | ( ( ( SV610 = SV835 )
          | ( late_transitions @ ( par @ SV191 @ SV755 ) @ ( late_FreeR @ late_TauR @ ( res @ SV835 @ ( par @ ( subs @ SV681 @ SV610 @ SV835 ) @ SV926 ) ) ) ) )
        = $true )
      | ( ( SV835 = SV437 )
        = $true )
      | ( ( fresh_name_pi @ SV610 @ SV926 )
        = $false )
      | ( ( SV610 = SV437 )
        = $true )
      | ( ( fresh_name_pi @ SV835 @ SV755 )
        = $false )
      | ( ( fresh_name_pi @ SV835 @ SV191 )
        = $false )
      | ( ( fresh_name_pi @ SV610 @ SV755 )
        = $false )
      | ( ( fresh_name_pi @ SV610 @ SV191 )
        = $false )
      | ( ( late_transitions @ SV755 @ ( late_BoundR @ ( late_BoundOutputS @ SV437 ) @ SV835 @ SV926 ) )
        = $false )
      | ( ( late_transitions @ SV191 @ ( late_BoundR @ ( late_InputS @ SV437 ) @ SV610 @ SV681 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4471]) ).

thf(4512,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
          | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4473]) ).

thf(4513,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4475]) ).

thf(4514,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4477]) ).

thf(4515,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
           != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                            | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4479]) ).

thf(4516,plain,
    ! [SV625: late_subject,SV695: name,SV767: pi,SV465: pi,SV229: pi] :
      ( ( ( ( ( par @ SV229 @ SV465 )
           != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
          | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                 != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                  | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4480]) ).

thf(4517,plain,
    ! [SV625: late_subject,SV695: name,SV767: pi,SV465: pi,SV229: pi] :
      ( ( ( ( ( par @ SV229 @ SV465 )
           != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
          | ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                 != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                  | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4481]) ).

thf(4518,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
               != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
          | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
        = $false )
      | ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4483]) ).

thf(4519,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
          | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                     != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                      | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4485]) ).

thf(4520,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                           != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                            | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4487]) ).

thf(4521,plain,
    ! [SV232: name,SV467: pi,SV769: pi,SV697: name,SV627: late_subject] :
      ( ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( res @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
        = $true )
      | ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4488]) ).

thf(4522,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                    | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                               != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                                | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) ) )
        = $true )
      | ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4489]) ).

thf(4523,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4490]) ).

thf(4524,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4490]) ).

thf(4525,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4491]) ).

thf(4526,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4491]) ).

thf(4527,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4492]) ).

thf(4528,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4492]) ).

thf(4529,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
               != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4493]) ).

thf(4530,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4493]) ).

thf(4531,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4494]) ).

thf(4532,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4494]) ).

thf(4533,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4495]) ).

thf(4534,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4495]) ).

thf(4535,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4496]) ).

thf(4536,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4496]) ).

thf(4537,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4497]) ).

thf(4538,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                     != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                      | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4497]) ).

thf(4539,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4498]) ).

thf(4540,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4498]) ).

thf(4541,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4499]) ).

thf(4542,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4499]) ).

thf(4543,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4500]) ).

thf(4544,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                           != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4500]) ).

thf(4545,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4502]) ).

thf(4546,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4503]) ).

thf(4547,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                           != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4504]) ).

thf(4548,plain,
    ! [SV491: pi,SV702: name,SV771: pi,SV981: late_subject > pi > $o,SV638: late_subject,SV253: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
          | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) )
        = $false )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 )
          = SV253 )
        = $false )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4507]) ).

thf(4549,plain,
    ! [SV253: name,SV771: pi,SV981: late_subject > pi > $o,SV702: name,SV638: late_subject,SV491: pi] :
      ( ( ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) )
        = $false )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( SV638
          = ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4508]) ).

thf(4550,plain,
    ! [SV491: pi,SV702: name,SV771: pi,SV981: late_subject > pi > $o,SV638: late_subject,SV253: name] :
      ( ( ( ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
        = $false )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( SV638
          = ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4508]) ).

thf(4551,plain,
    ! [SV253: name,SV771: pi,SV981: late_subject > pi > $o,SV702: name,SV638: late_subject,SV491: pi] :
      ( ( ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
          | ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
        = $false )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( SV981 @ ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV702 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $false )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4509]) ).

thf(4552,plain,
    ! [SV436: name,SV680: pi,SV754: pi,SV190: pi,SV834: name,SV925: pi,SV609: name] :
      ( ( ( fresh_name_pi @ SV609 @ SV925 )
        = $false )
      | ( ( ( SV834 = SV609 )
          | ( late_transitions @ ( par @ SV190 @ SV754 ) @ ( late_FreeR @ late_TauR @ ( res @ SV609 @ ( par @ SV680 @ ( subs @ SV925 @ SV834 @ SV609 ) ) ) ) ) )
        = $true )
      | ( ( SV609 = SV436 )
        = $true )
      | ( ( fresh_name_pi @ SV834 @ SV680 )
        = $false )
      | ( ( SV834 = SV436 )
        = $true )
      | ( ( fresh_name_pi @ SV609 @ SV754 )
        = $false )
      | ( ( fresh_name_pi @ SV609 @ SV190 )
        = $false )
      | ( ( fresh_name_pi @ SV834 @ SV754 )
        = $false )
      | ( ( fresh_name_pi @ SV834 @ SV190 )
        = $false )
      | ( ( late_transitions @ SV754 @ ( late_BoundR @ ( late_InputS @ SV436 ) @ SV834 @ SV925 ) )
        = $false )
      | ( ( late_transitions @ SV190 @ ( late_BoundR @ ( late_BoundOutputS @ SV436 ) @ SV609 @ SV680 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4510]) ).

thf(4553,plain,
    ! [SV437: name,SV926: pi,SV755: pi,SV191: pi,SV610: name,SV681: pi,SV835: name] :
      ( ( ( fresh_name_pi @ SV835 @ SV681 )
        = $false )
      | ( ( ( SV610 = SV835 )
          | ( late_transitions @ ( par @ SV191 @ SV755 ) @ ( late_FreeR @ late_TauR @ ( res @ SV835 @ ( par @ ( subs @ SV681 @ SV610 @ SV835 ) @ SV926 ) ) ) ) )
        = $true )
      | ( ( SV835 = SV437 )
        = $true )
      | ( ( fresh_name_pi @ SV610 @ SV926 )
        = $false )
      | ( ( SV610 = SV437 )
        = $true )
      | ( ( fresh_name_pi @ SV835 @ SV755 )
        = $false )
      | ( ( fresh_name_pi @ SV835 @ SV191 )
        = $false )
      | ( ( fresh_name_pi @ SV610 @ SV755 )
        = $false )
      | ( ( fresh_name_pi @ SV610 @ SV191 )
        = $false )
      | ( ( late_transitions @ SV755 @ ( late_BoundR @ ( late_BoundOutputS @ SV437 ) @ SV835 @ SV926 ) )
        = $false )
      | ( ( late_transitions @ SV191 @ ( late_BoundR @ ( late_InputS @ SV437 ) @ SV610 @ SV681 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4511]) ).

thf(4554,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4512]) ).

thf(4555,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4512]) ).

thf(4556,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4513]) ).

thf(4557,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4513]) ).

thf(4558,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4514]) ).

thf(4559,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4514]) ).

thf(4560,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
         != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4515]) ).

thf(4561,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                            | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4515]) ).

thf(4562,plain,
    ! [SV625: late_subject,SV695: name,SV767: pi,SV465: pi,SV229: pi] :
      ( ( ( ( par @ SV229 @ SV465 )
         != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4516]) ).

thf(4563,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                 != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                  | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4516]) ).

thf(4564,plain,
    ! [SV625: late_subject,SV695: name,SV767: pi,SV465: pi,SV229: pi] :
      ( ( ( ( par @ SV229 @ SV465 )
         != ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4517]) ).

thf(4565,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ~ ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
                 != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                            | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                  | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4517]) ).

thf(4566,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
               != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
        = $false )
      | ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4518]) ).

thf(4567,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
        = $false )
      | ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4518]) ).

thf(4568,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4519]) ).

thf(4569,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                     != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                      | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4519]) ).

thf(4570,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4520]) ).

thf(4571,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                           != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                            | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4520]) ).

thf(4572,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
          | ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                           != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                            | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) )
        = $false )
      | ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4522]) ).

thf(4573,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4523]) ).

thf(4574,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4524]) ).

thf(4575,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4525]) ).

thf(4576,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4526]) ).

thf(4577,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4527]) ).

thf(4578,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4528]) ).

thf(4579,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
         != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4529]) ).

thf(4580,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
              | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4530]) ).

thf(4581,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4531]) ).

thf(4582,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4532]) ).

thf(4583,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4533]) ).

thf(4584,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4534]) ).

thf(4585,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4535]) ).

thf(4586,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4536]) ).

thf(4587,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4537]) ).

thf(4588,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                   != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                    | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4538]) ).

thf(4589,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4539]) ).

thf(4590,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4540]) ).

thf(4591,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4541]) ).

thf(4592,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4542]) ).

thf(4593,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4543]) ).

thf(4594,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
              | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                         != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                          | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4544]) ).

thf(4595,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4545]) ).

thf(4596,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4545]) ).

thf(4597,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4546]) ).

thf(4598,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4546]) ).

thf(4599,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4547]) ).

thf(4600,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
                | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                           != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                            | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4547]) ).

thf(4601,plain,
    ! [SV491: pi,SV702: name,SV771: pi,SV981: late_subject > pi > $o,SV638: late_subject,SV253: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV253 @ SV638 ) )
        = $false )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 )
          = SV253 )
        = $false )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4548]) ).

thf(4602,plain,
    ! [SV491: pi,SV702: name,SV771: pi,SV253: name,SV638: late_subject,SV981: late_subject > pi > $o] :
      ( ( ( ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) )
        = $false )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 )
          = SV253 )
        = $false )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4548]) ).

thf(4603,plain,
    ! [SV253: name,SV771: pi,SV981: late_subject > pi > $o,SV702: name,SV638: late_subject,SV491: pi] :
      ( ( ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $true )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( SV638
          = ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4549]) ).

thf(4604,plain,
    ! [SV491: pi,SV702: name,SV771: pi,SV981: late_subject > pi > $o,SV638: late_subject,SV253: name] :
      ( ( ( ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
              | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
        = $true )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( SV638
          = ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4550]) ).

thf(4605,plain,
    ! [SV253: name,SV771: pi,SV981: late_subject > pi > $o,SV702: name,SV638: late_subject,SV491: pi] :
      ( ( ( ~ ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) )
        = $false )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( SV981 @ ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV702 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $false )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4551]) ).

thf(4606,plain,
    ! [SV491: pi,SV702: name,SV771: pi,SV981: late_subject > pi > $o,SV638: late_subject,SV253: name] :
      ( ( ( ~ ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
                | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
        = $false )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( SV981 @ ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV702 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $false )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4551]) ).

thf(4607,plain,
    ! [SV436: name,SV925: pi,SV680: pi,SV754: pi,SV190: pi,SV609: name,SV834: name] :
      ( ( ( SV834 = SV609 )
        = $true )
      | ( ( late_transitions @ ( par @ SV190 @ SV754 ) @ ( late_FreeR @ late_TauR @ ( res @ SV609 @ ( par @ SV680 @ ( subs @ SV925 @ SV834 @ SV609 ) ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV609 @ SV925 )
        = $false )
      | ( ( SV609 = SV436 )
        = $true )
      | ( ( fresh_name_pi @ SV834 @ SV680 )
        = $false )
      | ( ( SV834 = SV436 )
        = $true )
      | ( ( fresh_name_pi @ SV609 @ SV754 )
        = $false )
      | ( ( fresh_name_pi @ SV609 @ SV190 )
        = $false )
      | ( ( fresh_name_pi @ SV834 @ SV754 )
        = $false )
      | ( ( fresh_name_pi @ SV834 @ SV190 )
        = $false )
      | ( ( late_transitions @ SV754 @ ( late_BoundR @ ( late_InputS @ SV436 ) @ SV834 @ SV925 ) )
        = $false )
      | ( ( late_transitions @ SV190 @ ( late_BoundR @ ( late_BoundOutputS @ SV436 ) @ SV609 @ SV680 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4552]) ).

thf(4608,plain,
    ! [SV437: name,SV926: pi,SV681: pi,SV755: pi,SV191: pi,SV835: name,SV610: name] :
      ( ( ( SV610 = SV835 )
        = $true )
      | ( ( late_transitions @ ( par @ SV191 @ SV755 ) @ ( late_FreeR @ late_TauR @ ( res @ SV835 @ ( par @ ( subs @ SV681 @ SV610 @ SV835 ) @ SV926 ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV835 @ SV681 )
        = $false )
      | ( ( SV835 = SV437 )
        = $true )
      | ( ( fresh_name_pi @ SV610 @ SV926 )
        = $false )
      | ( ( SV610 = SV437 )
        = $true )
      | ( ( fresh_name_pi @ SV835 @ SV755 )
        = $false )
      | ( ( fresh_name_pi @ SV835 @ SV191 )
        = $false )
      | ( ( fresh_name_pi @ SV610 @ SV755 )
        = $false )
      | ( ( fresh_name_pi @ SV610 @ SV191 )
        = $false )
      | ( ( late_transitions @ SV755 @ ( late_BoundR @ ( late_BoundOutputS @ SV437 ) @ SV835 @ SV926 ) )
        = $false )
      | ( ( late_transitions @ SV191 @ ( late_BoundR @ ( late_InputS @ SV437 ) @ SV610 @ SV681 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4553]) ).

thf(4609,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4554]) ).

thf(4610,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4555]) ).

thf(4611,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4556]) ).

thf(4612,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
              | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4557]) ).

thf(4613,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4558]) ).

thf(4614,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
              | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                    | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4559]) ).

thf(4615,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4560]) ).

thf(4616,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                    | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                          | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4561]) ).

thf(4617,plain,
    ! [SV625: late_subject,SV695: name,SV767: pi,SV465: pi,SV229: pi] :
      ( ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4562]) ).

thf(4618,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
               != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                    | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4563]) ).

thf(4619,plain,
    ! [SV625: late_subject,SV695: name,SV767: pi,SV465: pi,SV229: pi] :
      ( ( ( ( par @ SV229 @ SV465 )
          = ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4564]) ).

thf(4620,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ~ ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
               != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                    | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                                | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4565]) ).

thf(4621,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
         != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $true )
      | ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4566]) ).

thf(4622,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
              | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
        = $true )
      | ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4567]) ).

thf(4623,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $true )
      | ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4568]) ).

thf(4624,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                   != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                    | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) )
        = $true )
      | ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4569]) ).

thf(4625,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4570]) ).

thf(4626,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
              | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                         != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                    | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                          | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4571]) ).

thf(4627,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
        = $false )
      | ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4572]) ).

thf(4628,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                           != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                            | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) )
        = $false )
      | ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4572]) ).

thf(4629,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4576]) ).

thf(4630,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4578]) ).

thf(4631,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4579]) ).

thf(4632,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
          | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4580]) ).

thf(4633,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4584]) ).

thf(4634,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4586]) ).

thf(4635,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4587]) ).

thf(4636,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
               != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4588]) ).

thf(4637,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4590]) ).

thf(4638,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4592]) ).

thf(4639,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4593]) ).

thf(4640,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
          | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                     != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                      | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4594]) ).

thf(4641,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4595]) ).

thf(4642,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4596]) ).

thf(4643,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4597]) ).

thf(4644,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4598]) ).

thf(4645,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4599]) ).

thf(4646,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
              | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                         != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                          | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4600]) ).

thf(4647,plain,
    ! [SV491: pi,SV702: name,SV771: pi,SV981: late_subject > pi > $o,SV638: late_subject,SV253: name] :
      ( ( ( fresh_717452603ubject @ SV253 @ SV638 )
        = $true )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 )
          = SV253 )
        = $false )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4601]) ).

thf(4648,plain,
    ! [SV491: pi,SV702: name,SV771: pi,SV253: name,SV638: late_subject,SV981: late_subject > pi > $o] :
      ( ( ( ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) )
        = $true )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 )
          = SV253 )
        = $false )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4602]) ).

thf(4649,plain,
    ! [SV491: pi,SV702: name,SV771: pi,SV981: late_subject > pi > $o,SV638: late_subject,SV253: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
          | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) )
        = $false )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( SV638
          = ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4604]) ).

thf(4650,plain,
    ! [SV253: name,SV771: pi,SV981: late_subject > pi > $o,SV702: name,SV638: late_subject,SV491: pi] :
      ( ( ( late_transitions @ SV491 @ ( late_BoundR @ SV638 @ SV702 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $true )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( SV981 @ ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV702 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $false )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4605]) ).

thf(4651,plain,
    ! [SV491: pi,SV702: name,SV771: pi,SV981: late_subject > pi > $o,SV638: late_subject,SV253: name] :
      ( ( ( ~ ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
              | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) ) )
        = $true )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( SV981 @ ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV702 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $false )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4606]) ).

thf(4652,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
          | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4612]) ).

thf(4653,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4614]) ).

thf(4654,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4616]) ).

thf(4655,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
           != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                            | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4618]) ).

thf(4656,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
           != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                            | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4620]) ).

thf(4657,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4621]) ).

thf(4658,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
          | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $false )
      | ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4622]) ).

thf(4659,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
               != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
          | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4624]) ).

thf(4660,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
          | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                     != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                      | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4626]) ).

thf(4661,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( late_transitions @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_BoundR @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK67_SY1053 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4627]) ).

thf(4662,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
              | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                         != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                    | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                          | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) ) )
        = $true )
      | ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4628]) ).

thf(4663,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4629]) ).

thf(4664,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4629]) ).

thf(4665,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4630]) ).

thf(4666,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4630]) ).

thf(4667,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4631]) ).

thf(4668,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4632]) ).

thf(4669,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4632]) ).

thf(4670,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4633]) ).

thf(4671,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4633]) ).

thf(4672,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4634]) ).

thf(4673,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4634]) ).

thf(4674,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4635]) ).

thf(4675,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4635]) ).

thf(4676,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
               != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4636]) ).

thf(4677,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4636]) ).

thf(4678,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4637]) ).

thf(4679,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4637]) ).

thf(4680,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4638]) ).

thf(4681,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4638]) ).

thf(4682,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4639]) ).

thf(4683,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4639]) ).

thf(4684,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4640]) ).

thf(4685,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                     != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                      | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4640]) ).

thf(4686,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4642]) ).

thf(4687,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4644]) ).

thf(4688,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4645]) ).

thf(4689,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
          | ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                     != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                      | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4646]) ).

thf(4690,plain,
    ! [SV491: pi,SV702: name,SV771: pi,SV253: name,SV638: late_subject,SV981: late_subject > pi > $o] :
      ( ( ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $false )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 )
          = SV253 )
        = $false )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4648]) ).

thf(4691,plain,
    ! [SV491: pi,SV702: name,SV771: pi,SV981: late_subject > pi > $o,SV638: late_subject,SV253: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV253 @ SV638 ) )
        = $false )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( SV638
          = ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4649]) ).

thf(4692,plain,
    ! [SV491: pi,SV702: name,SV771: pi,SV253: name,SV638: late_subject,SV981: late_subject > pi > $o] :
      ( ( ( ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) )
        = $false )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( SV638
          = ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4649]) ).

thf(4693,plain,
    ! [SV491: pi,SV702: name,SV771: pi,SV981: late_subject > pi > $o,SV638: late_subject,SV253: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV253 @ SV638 )
          | ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) )
        = $false )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( SV981 @ ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV702 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $false )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4651]) ).

thf(4694,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4652]) ).

thf(4695,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4652]) ).

thf(4696,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4653]) ).

thf(4697,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4653]) ).

thf(4698,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4654]) ).

thf(4699,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4654]) ).

thf(4700,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
         != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4655]) ).

thf(4701,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                            | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4655]) ).

thf(4702,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
         != ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4656]) ).

thf(4703,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                      | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                            | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4656]) ).

thf(4704,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $false )
      | ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4658]) ).

thf(4705,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $false )
      | ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4658]) ).

thf(4706,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
               != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4659]) ).

thf(4707,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4659]) ).

thf(4708,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $false )
      | ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4660]) ).

thf(4709,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                     != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                      | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4660]) ).

thf(4710,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
          | ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                     != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                      | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) )
        = $false )
      | ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4662]) ).

thf(4711,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4663]) ).

thf(4712,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4664]) ).

thf(4713,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4665]) ).

thf(4714,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4666]) ).

thf(4715,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4667]) ).

thf(4716,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4667]) ).

thf(4717,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4668]) ).

thf(4718,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4669]) ).

thf(4719,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4670]) ).

thf(4720,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4671]) ).

thf(4721,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4672]) ).

thf(4722,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4673]) ).

thf(4723,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4674]) ).

thf(4724,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4675]) ).

thf(4725,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
         != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4676]) ).

thf(4726,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
              | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4677]) ).

thf(4727,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4678]) ).

thf(4728,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4679]) ).

thf(4729,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4680]) ).

thf(4730,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4681]) ).

thf(4731,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4682]) ).

thf(4732,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4683]) ).

thf(4733,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4684]) ).

thf(4734,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                   != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                    | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4685]) ).

thf(4735,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4686]) ).

thf(4736,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4686]) ).

thf(4737,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4687]) ).

thf(4738,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4687]) ).

thf(4739,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4688]) ).

thf(4740,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4688]) ).

thf(4741,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4689]) ).

thf(4742,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                     != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                      | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4689]) ).

thf(4743,plain,
    ! [SV491: pi,SV702: name,SV771: pi,SV981: late_subject > pi > $o,SV638: late_subject,SV253: name] :
      ( ( ( fresh_717452603ubject @ SV253 @ SV638 )
        = $true )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( SV638
          = ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4691]) ).

thf(4744,plain,
    ! [SV491: pi,SV702: name,SV771: pi,SV253: name,SV638: late_subject,SV981: late_subject > pi > $o] :
      ( ( ( ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) )
        = $true )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( SV638
          = ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4692]) ).

thf(4745,plain,
    ! [SV491: pi,SV702: name,SV771: pi,SV981: late_subject > pi > $o,SV638: late_subject,SV253: name] :
      ( ( ( ~ ( fresh_717452603ubject @ SV253 @ SV638 ) )
        = $false )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( SV981 @ ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV702 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $false )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4693]) ).

thf(4746,plain,
    ! [SV491: pi,SV702: name,SV771: pi,SV253: name,SV638: late_subject,SV981: late_subject > pi > $o] :
      ( ( ( ~ ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) )
        = $false )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( SV981 @ ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV702 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $false )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4693]) ).

thf(4747,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4694]) ).

thf(4748,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4695]) ).

thf(4749,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4696]) ).

thf(4750,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
              | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4697]) ).

thf(4751,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4698]) ).

thf(4752,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
              | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                    | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4699]) ).

thf(4753,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4700]) ).

thf(4754,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                    | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                          | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4701]) ).

thf(4755,plain,
    ! [SV229: pi,SV465: pi,SV767: pi,SV695: name,SV625: late_subject] :
      ( ( ( ( late_BoundR @ SV625 @ SV695 @ SV767 )
          = ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( par @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4702]) ).

thf(4756,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
              | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                    | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                          | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4703]) ).

thf(4757,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $true )
      | ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4704]) ).

thf(4758,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $true )
      | ( ( ( res @ SV232 @ SV467 )
          = ( res @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4705]) ).

thf(4759,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
         != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $true )
      | ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4706]) ).

thf(4760,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
              | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
        = $true )
      | ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4707]) ).

thf(4761,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $true )
      | ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4708]) ).

thf(4762,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                   != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                    | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4709]) ).

thf(4763,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $false )
      | ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4710]) ).

thf(4764,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                     != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                      | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) )
        = $false )
      | ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4710]) ).

thf(4765,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4714]) ).

thf(4766,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4715]) ).

thf(4767,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4716]) ).

thf(4768,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4717]) ).

thf(4769,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4718]) ).

thf(4770,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4722]) ).

thf(4771,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4724]) ).

thf(4772,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4725]) ).

thf(4773,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
          | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4726]) ).

thf(4774,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4730]) ).

thf(4775,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4732]) ).

thf(4776,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4733]) ).

thf(4777,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
               != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4734]) ).

thf(4778,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4735]) ).

thf(4779,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4736]) ).

thf(4780,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4737]) ).

thf(4781,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4738]) ).

thf(4782,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4739]) ).

thf(4783,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4740]) ).

thf(4784,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4741]) ).

thf(4785,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
                   != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                    | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4742]) ).

thf(4786,plain,
    ! [SV491: pi,SV702: name,SV771: pi,SV253: name,SV638: late_subject,SV981: late_subject > pi > $o] :
      ( ( ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $false )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( SV638
          = ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $true )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4744]) ).

thf(4787,plain,
    ! [SV491: pi,SV702: name,SV771: pi,SV981: late_subject > pi > $o,SV638: late_subject,SV253: name] :
      ( ( ( fresh_717452603ubject @ SV253 @ SV638 )
        = $true )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( SV981 @ ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV702 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $false )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4745]) ).

thf(4788,plain,
    ! [SV491: pi,SV702: name,SV771: pi,SV253: name,SV638: late_subject,SV981: late_subject > pi > $o] :
      ( ( ( ~ ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) ) )
        = $true )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( SV981 @ ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV702 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $false )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4746]) ).

thf(4789,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
          | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4750]) ).

thf(4790,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4752]) ).

thf(4791,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4754]) ).

thf(4792,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4756]) ).

thf(4793,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4759]) ).

thf(4794,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
          | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4760]) ).

thf(4795,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
               != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
          | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4762]) ).

thf(4796,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( fresh_717452603ubject @ ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $true )
      | ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4763]) ).

thf(4797,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
                   != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
              | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                    | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) ) )
        = $true )
      | ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4764]) ).

thf(4798,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4765]) ).

thf(4799,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4765]) ).

thf(4800,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4767]) ).

thf(4801,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4768]) ).

thf(4802,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4768]) ).

thf(4803,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4769]) ).

thf(4804,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4769]) ).

thf(4805,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4770]) ).

thf(4806,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4770]) ).

thf(4807,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4771]) ).

thf(4808,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4771]) ).

thf(4809,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4772]) ).

thf(4810,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4773]) ).

thf(4811,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4773]) ).

thf(4812,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4774]) ).

thf(4813,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4774]) ).

thf(4814,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4775]) ).

thf(4815,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4775]) ).

thf(4816,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4776]) ).

thf(4817,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4776]) ).

thf(4818,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
               != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4777]) ).

thf(4819,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4777]) ).

thf(4820,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4781]) ).

thf(4821,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4783]) ).

thf(4822,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4784]) ).

thf(4823,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
               != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4785]) ).

thf(4824,plain,
    ! [SV491: pi,SV702: name,SV771: pi,SV253: name,SV638: late_subject,SV981: late_subject > pi > $o] :
      ( ( ( SV981 @ SV638 @ ( res @ SV253 @ ( sK59_P4 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $false )
      | ( ( SV981 @ SV638 @ SV771 )
        = $true )
      | ( ( SV981 @ ( late_BoundOutputS @ ( sK60_B2 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV702 @ SV253 ) @ nil_Pr743626285e_name ) @ ( sK61_SY1044 @ SV981 @ SV771 @ SV702 @ SV638 @ SV491 @ SV253 ) ) )
        = $false )
      | ( ( fresh_name_pi @ SV702 @ SV491 )
        = $false )
      | ( ( SV702 = SV253 )
        = $true )
      | ( ( late_transitions @ ( res @ SV253 @ SV491 ) @ ( late_BoundR @ SV638 @ SV702 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4788]) ).

thf(4825,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4789]) ).

thf(4826,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4789]) ).

thf(4827,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4790]) ).

thf(4828,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4790]) ).

thf(4829,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4791]) ).

thf(4830,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4791]) ).

thf(4831,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4792]) ).

thf(4832,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                      | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4792]) ).

thf(4833,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4794]) ).

thf(4834,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $false )
      | ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4794]) ).

thf(4835,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
               != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4795]) ).

thf(4836,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4795]) ).

thf(4837,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
               != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
          | ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
        = $false )
      | ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4797]) ).

thf(4838,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4798]) ).

thf(4839,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4799]) ).

thf(4840,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4800]) ).

thf(4841,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4800]) ).

thf(4842,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4801]) ).

thf(4843,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4802]) ).

thf(4844,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4803]) ).

thf(4845,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4804]) ).

thf(4846,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4805]) ).

thf(4847,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4806]) ).

thf(4848,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4807]) ).

thf(4849,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4808]) ).

thf(4850,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4809]) ).

thf(4851,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4809]) ).

thf(4852,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4810]) ).

thf(4853,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4811]) ).

thf(4854,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4812]) ).

thf(4855,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4813]) ).

thf(4856,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4814]) ).

thf(4857,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4815]) ).

thf(4858,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4816]) ).

thf(4859,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4817]) ).

thf(4860,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
         != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4818]) ).

thf(4861,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
              | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4819]) ).

thf(4862,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4820]) ).

thf(4863,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4820]) ).

thf(4864,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4821]) ).

thf(4865,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4821]) ).

thf(4866,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4822]) ).

thf(4867,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4822]) ).

thf(4868,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
               != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4823]) ).

thf(4869,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
                | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4823]) ).

thf(4870,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4825]) ).

thf(4871,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK111_SY1105 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4826]) ).

thf(4872,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4827]) ).

thf(4873,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
              | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4828]) ).

thf(4874,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4829]) ).

thf(4875,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
              | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                    | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4830]) ).

thf(4876,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( late_transitions @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( late_BoundR @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK106_SY1095 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4831]) ).

thf(4877,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
              | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                    | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4832]) ).

thf(4878,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $true )
      | ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4833]) ).

thf(4879,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $true )
      | ( ( ( late_BoundR @ SV627 @ SV697 @ SV769 )
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4834]) ).

thf(4880,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
         != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $true )
      | ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4835]) ).

thf(4881,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
              | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4836]) ).

thf(4882,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
               != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
        = $false )
      | ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4837]) ).

thf(4883,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
                | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
        = $false )
      | ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4837]) ).

thf(4884,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4840]) ).

thf(4885,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4841]) ).

thf(4886,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4843]) ).

thf(4887,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4845]) ).

thf(4888,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4849]) ).

thf(4889,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4850]) ).

thf(4890,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4851]) ).

thf(4891,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4852]) ).

thf(4892,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4853]) ).

thf(4893,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4857]) ).

thf(4894,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4859]) ).

thf(4895,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4860]) ).

thf(4896,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
          | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4861]) ).

thf(4897,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4862]) ).

thf(4898,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4863]) ).

thf(4899,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4864]) ).

thf(4900,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4865]) ).

thf(4901,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4866]) ).

thf(4902,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4867]) ).

thf(4903,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
         != ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4868]) ).

thf(4904,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
              | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4869]) ).

thf(4905,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
          | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4873]) ).

thf(4906,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4875]) ).

thf(4907,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
          | ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4877]) ).

thf(4908,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4880]) ).

thf(4909,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
          | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $false )
      | ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4881]) ).

thf(4910,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
         != ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $true )
      | ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4882]) ).

thf(4911,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
              | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) ) )
        = $true )
      | ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4883]) ).

thf(4912,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4885]) ).

thf(4913,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4886]) ).

thf(4914,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4886]) ).

thf(4915,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4887]) ).

thf(4916,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4887]) ).

thf(4917,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4888]) ).

thf(4918,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4888]) ).

thf(4919,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4890]) ).

thf(4920,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4891]) ).

thf(4921,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4891]) ).

thf(4922,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4892]) ).

thf(4923,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4892]) ).

thf(4924,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4893]) ).

thf(4925,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4893]) ).

thf(4926,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4894]) ).

thf(4927,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4894]) ).

thf(4928,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4895]) ).

thf(4929,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4896]) ).

thf(4930,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4896]) ).

thf(4931,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4900]) ).

thf(4932,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4902]) ).

thf(4933,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4903]) ).

thf(4934,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
          | ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4904]) ).

thf(4935,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4905]) ).

thf(4936,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4905]) ).

thf(4937,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4906]) ).

thf(4938,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4906]) ).

thf(4939,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4907]) ).

thf(4940,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
                | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4907]) ).

thf(4941,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $false )
      | ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4909]) ).

thf(4942,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $false )
      | ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4909]) ).

thf(4943,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ( sK68_SY1055 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4910]) ).

thf(4944,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
          | ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $false )
      | ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4911]) ).

thf(4945,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4912]) ).

thf(4946,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4912]) ).

thf(4947,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4913]) ).

thf(4948,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4914]) ).

thf(4949,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4915]) ).

thf(4950,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4916]) ).

thf(4951,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4917]) ).

thf(4952,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4918]) ).

thf(4953,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4919]) ).

thf(4954,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4919]) ).

thf(4955,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4920]) ).

thf(4956,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4921]) ).

thf(4957,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4922]) ).

thf(4958,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4923]) ).

thf(4959,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4924]) ).

thf(4960,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4925]) ).

thf(4961,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4926]) ).

thf(4962,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4927]) ).

thf(4963,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4928]) ).

thf(4964,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4928]) ).

thf(4965,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4929]) ).

thf(4966,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4930]) ).

thf(4967,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4931]) ).

thf(4968,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4931]) ).

thf(4969,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4932]) ).

thf(4970,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4932]) ).

thf(4971,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4933]) ).

thf(4972,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4934]) ).

thf(4973,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4934]) ).

thf(4974,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4935]) ).

thf(4975,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK108_P5 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4936]) ).

thf(4976,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4937]) ).

thf(4977,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
              | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4938]) ).

thf(4978,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK107_SY1097 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4939]) ).

thf(4979,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
              | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4940]) ).

thf(4980,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $true )
      | ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4941]) ).

thf(4981,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $true )
      | ( ( late_transitions @ ( sK69_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( late_FreeR @ ( late_OutputR @ ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) @ ( sK72_SY1061 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4942]) ).

thf(4982,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $false )
      | ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4944]) ).

thf(4983,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) ) )
        = $false )
      | ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4944]) ).

thf(4984,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4945]) ).

thf(4985,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4946]) ).

thf(4986,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4948]) ).

thf(4987,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4950]) ).

thf(4988,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4953]) ).

thf(4989,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4954]) ).

thf(4990,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4956]) ).

thf(4991,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4958]) ).

thf(4992,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4962]) ).

thf(4993,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4963]) ).

thf(4994,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4964]) ).

thf(4995,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4965]) ).

thf(4996,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4966]) ).

thf(4997,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4967]) ).

thf(4998,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_BoundR @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK80_SY1075 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4968]) ).

thf(4999,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4969]) ).

thf(5000,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4970]) ).

thf(5001,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4971]) ).

thf(5002,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4971]) ).

thf(5003,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4972]) ).

thf(5004,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ~ ( ( ( res @ SV236 @ SV475 )
               != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ~ ( ( SV629
                     != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                    | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4973]) ).

thf(5005,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
          | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4977]) ).

thf(5006,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
          | ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4979]) ).

thf(5007,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( fresh_name_pi @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK64_P5 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $true )
      | ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4982]) ).

thf(5008,plain,
    ! [SV232: name,SV467: pi,SV627: late_subject,SV697: name,SV769: pi] :
      ( ( ( fresh_717452603ubject @ ( sK66_SY1050 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) @ ( sK65_SY1046 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $true )
      | ( ( ( sK70_SY1056 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 )
          = ( sK71_SY1059 @ SV769 @ SV697 @ SV627 @ SV467 @ SV232 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV232 @ SV467 ) @ ( late_BoundR @ SV627 @ SV697 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4983]) ).

thf(5009,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4986]) ).

thf(5010,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4986]) ).

thf(5011,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4987]) ).

thf(5012,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4987]) ).

thf(5013,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4989]) ).

thf(5014,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4990]) ).

thf(5015,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4990]) ).

thf(5016,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4991]) ).

thf(5017,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4991]) ).

thf(5018,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4992]) ).

thf(5019,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4992]) ).

thf(5020,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4994]) ).

thf(5021,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4995]) ).

thf(5022,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4995]) ).

thf(5023,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4996]) ).

thf(5024,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4996]) ).

thf(5025,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5000]) ).

thf(5026,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5001]) ).

thf(5027,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5002]) ).

thf(5028,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5003]) ).

thf(5029,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( ( res @ SV236 @ SV475 )
           != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5004]) ).

thf(5030,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5005]) ).

thf(5031,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5005]) ).

thf(5032,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5006]) ).

thf(5033,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( ~ ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5006]) ).

thf(5034,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5009]) ).

thf(5035,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5010]) ).

thf(5036,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5011]) ).

thf(5037,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5012]) ).

thf(5038,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5013]) ).

thf(5039,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5013]) ).

thf(5040,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5014]) ).

thf(5041,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5015]) ).

thf(5042,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5016]) ).

thf(5043,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5017]) ).

thf(5044,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5018]) ).

thf(5045,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5019]) ).

thf(5046,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5020]) ).

thf(5047,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5020]) ).

thf(5048,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5021]) ).

thf(5049,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5022]) ).

thf(5050,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5023]) ).

thf(5051,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5024]) ).

thf(5052,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5025]) ).

thf(5053,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5025]) ).

thf(5054,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5027]) ).

thf(5055,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5028]) ).

thf(5056,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5028]) ).

thf(5057,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
         != ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5029]) ).

thf(5058,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ( SV629
                 != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
                | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                      | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5029]) ).

thf(5059,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5030]) ).

thf(5060,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK112_SY1107 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5031]) ).

thf(5061,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( fresh_name_pi @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK103_Q3 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5032]) ).

thf(5062,plain,
    ! [SV229: pi,SV465: pi,SV625: late_subject,SV695: name,SV767: pi] :
      ( ( ( fresh_717452603ubject @ ( sK105_SY1092 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK104_SY1088 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK110_SY1102 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) @ ( sK109_SY1098 @ SV767 @ SV695 @ SV625 @ SV465 @ SV229 ) )
        = $true )
      | ( ( late_transitions @ ( par @ SV229 @ SV465 ) @ ( late_BoundR @ SV625 @ SV695 @ SV767 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5033]) ).

thf(5063,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5038]) ).

thf(5064,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5039]) ).

thf(5065,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5041]) ).

thf(5066,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5043]) ).

thf(5067,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5046]) ).

thf(5068,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5047]) ).

thf(5069,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5049]) ).

thf(5070,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5051]) ).

thf(5071,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5052]) ).

thf(5072,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK81_SY1077 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5053]) ).

thf(5073,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5054]) ).

thf(5074,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5054]) ).

thf(5075,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5055]) ).

thf(5076,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5056]) ).

thf(5077,plain,
    ! [SV629: late_residual,SV475: pi,SV236: name] :
      ( ( ( ( res @ SV236 @ SV475 )
          = ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5057]) ).

thf(5078,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ( SV629
               != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
              | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                    | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5058]) ).

thf(5079,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5065]) ).

thf(5080,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5065]) ).

thf(5081,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5066]) ).

thf(5082,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5066]) ).

thf(5083,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5068]) ).

thf(5084,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5069]) ).

thf(5085,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5069]) ).

thf(5086,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5070]) ).

thf(5087,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5070]) ).

thf(5088,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5073]) ).

thf(5089,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5074]) ).

thf(5090,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5076]) ).

thf(5091,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ( SV629
           != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
          | ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5078]) ).

thf(5092,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5079]) ).

thf(5093,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5080]) ).

thf(5094,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5081]) ).

thf(5095,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( SV629
          = ( late_BoundR @ ( late_BoundOutputS @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5082]) ).

thf(5096,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5083]) ).

thf(5097,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5083]) ).

thf(5098,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5084]) ).

thf(5099,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5085]) ).

thf(5100,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5086]) ).

thf(5101,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5087]) ).

thf(5102,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5089]) ).

thf(5103,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5090]) ).

thf(5104,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5090]) ).

thf(5105,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
         != ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5091]) ).

thf(5106,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
                | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5091]) ).

thf(5107,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5096]) ).

thf(5108,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5097]) ).

thf(5109,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5099]) ).

thf(5110,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5101]) ).

thf(5111,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5102]) ).

thf(5112,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5102]) ).

thf(5113,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5103]) ).

thf(5114,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5104]) ).

thf(5115,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( SV629
          = ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( res @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5105]) ).

thf(5116,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
              | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5106]) ).

thf(5117,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5109]) ).

thf(5118,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5109]) ).

thf(5119,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5110]) ).

thf(5120,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5110]) ).

thf(5121,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5111]) ).

thf(5122,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK81_SY1077 @ SV629 @ SV475 @ SV236 )
          = ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5112]) ).

thf(5123,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5114]) ).

thf(5124,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
          | ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5116]) ).

thf(5125,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5117]) ).

thf(5126,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5118]) ).

thf(5127,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5119]) ).

thf(5128,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( late_transitions @ ( sK82_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( late_OutputR @ ( sK83_SY1078 @ SV629 @ SV475 @ SV236 ) @ ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) ) @ ( sK85_SY1083 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5120]) ).

thf(5129,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5123]) ).

thf(5130,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5123]) ).

thf(5131,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5124]) ).

thf(5132,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( ~ ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) ) )
        = $false )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5124]) ).

thf(5133,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5129]) ).

thf(5134,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( fresh_name_pi @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK77_P5 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5130]) ).

thf(5135,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( late_transitions @ ( sK73_P5 @ SV629 @ SV475 @ SV236 ) @ ( late_FreeR @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) @ ( sK75_SY1065 @ SV629 @ SV475 @ SV236 ) ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5131]) ).

thf(5136,plain,
    ! [SV236: name,SV475: pi,SV629: late_residual] :
      ( ( ( fresh_1641682979reeRes @ ( sK76_SY1067 @ SV629 @ SV475 @ SV236 ) @ ( sK74_SY1062 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( fresh_717452603ubject @ ( sK79_SY1072 @ SV629 @ SV475 @ SV236 ) @ ( sK78_SY1068 @ SV629 @ SV475 @ SV236 ) )
        = $true )
      | ( ( ( sK83_SY1078 @ SV629 @ SV475 @ SV236 )
          = ( sK84_SY1081 @ SV629 @ SV475 @ SV236 ) )
        = $false )
      | ( ( late_transitions @ ( res @ SV236 @ SV475 ) @ SV629 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5132]) ).

thf(5137,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[789,5136,5135,5134,5133,5128,5127,5126,5125,5122,5121,5115,5113,5108,5107,5100,5098,5095,5094,5093,5092,5088,5077,5075,5072,5071,5067,5064,5063,5062,5061,5060,5059,5050,5048,5045,5044,5042,5040,5037,5036,5035,5034,5026,5008,5007,4999,4998,4997,4993,4988,4985,4984,4981,4980,4978,4976,4975,4974,4961,4960,4959,4957,4955,4952,4951,4949,4947,4943,4908,4901,4899,4898,4897,4889,4884,4879,4878,4876,4874,4872,4871,4870,4858,4856,4855,4854,4848,4847,4846,4844,4842,4839,4838,4824,4796,4793,4787,4786,4782,4780,4779,4778,4766,4761,4758,4757,4755,4753,4751,4749,4748,4747,4743,4731,4729,4728,4727,4723,4721,4720,4719,4713,4712,4711,4690,4661,4657,4650,4647,4643,4641,4625,4623,4619,4617,4615,4613,4611,4610,4609,4608,4607,4603,4591,4589,4585,4583,4582,4581,4577,4575,4574,4573,4521,4506,4505,4501,4486,4484,4482,4478,4476,4474,4472,4464,4456,4452,4450,4446,4444,4443,4442,4434,4416,4394,4389,4388,4375,4360,4358,4356,4352,4348,4346,4344,4338,4328,4324,4322,4303,4302,4299,4298,4297,4296,4295,4294,4287,4286,4285,4284,4247,4246,4243,4242,4241,4238,4237,4234,4233,4225,4224,4220,4218,4212,4210,4180,4159,4158,4157,4156,4155,4154,4153,4152,4151,4150,4149,4148,4147,4146,4145,4144,4143,4142,4141,4140,4139,4138,4137,4136,4135,4134,4133,4132,4131,4130,4129,4128,4127,4126,4125,4124,4123,4122,4121,4120,4119,4118,4117,4116,4115,4114,4113,4112,4110,4109,4108,4106,4105,4104,4102,4099,4092,4089,4016,4015,4010,4009,4004,4003,3999,3997,3992,3989,3988,3986,3983,3982,3980,3973,3969,3964,3935,3934,3930,3929,3915,3914,3908,3907,3906,3905,3899,3898,3897,3891,3890,3883,3882,3877,3871,3870,3867,3866,3839,3838,3835,3832,3830,3828,3826,3808,3806,3799,3783,3778,3776,3775,3749,3748,3738,3734,3731,3717,3710,3690,3689,3688,3642,3636,3626,3618,3613,3603,3602,3601,3600,3596,3595,3594,3593,3592,3583,3582,3581,3580,3579,3578,3577,3576,3575,3574,3573,3572,3571,3570,3569,3568,3567,3566,3565,3564,3563,3562,3561,3560,3559,3558,3557,3556,3555,3554,3553,3552,3551,3550,3549,3548,3547,3546,3545,3544,3543,3542,3541,3540,3539,3538,3537,3536,3535,3534,3533,3532,3531,3530,3529,3528,3527,3526,3525,3524,3523,3522,3521,3520,3519,3518,3517,3516,3515,3514,3513,3512,3511,3510,3509,3508,3507,3506,3505,3504,3503,3502,3501,3500,3499,3498,3497,3496,3495,3494,3493,3492,3491,3490,3489,3488,3487,3485,3483,3481,3479,3478,3477,3476,3475,3473,3471,3469,3467,3466,3465,3464,3463,3461,3459,3457,3455,3454,3450,3449,3448,3447,3446,3445,3444,3443,3442,3441,3440,3439,3438,3435,3432,3431,3430,3429,3428,3427,3422,3419,3417,3411,3410,3409,3401,3400,3399,3398,3397,3396,3395,3394,3393,3387,3384,3376,3373,3372,3371,3367,3366,3365,3362,3361,3360,3356,3355,3354,3350,3345,3340,3339,3338,3337,3329,3328,3327,3326,3201,3200,3199,3198,3197,3195,3194,3189,3187,3186,3185,3184,3183,3182,3181,3180,3171,3170,3169,3168,3167,3166,3165,3164,3159,3158,3152,3150,3148,3146,3144,3142,3138,3124,3122,3120,3112,3110,3108,3106,3104,3102,3100,3098,3096,3077,3075,3073,3069,3067,3065,3061,3059,3057,3053,3051,3049,3029,2950,2941,2934,2911,2909,2730,2729,2728,2727,2726,2725,2724,2709,2708,2704,2693,2676,2673,2671,2670,2669,2668,2667,2666,2665,2663,2662,2661,2660,2659,2658,2657,2553,2501,2496,2495,2494,2485,2484,2483,2482,2481,2471,2468,2467,2437,2434,2413,2410,2375,2370,2332,2331,2330,2329,2328,2327,2270,2266,2265,2264,2254,2240,2238,2237,2226,2225,2224,2223,2169,2148,2141,2130,2115,2100,2099,2097,2096,2085,2083,2073,2071,2069,2067,2065,2063,2061,2059,2057,2055,2053,2051,2049,2047,2045,2043,2041,2039,2037,2035,2033,2031,2029,2020,2017,2014,2011,2007,2000,1968,1966,1955,1950,1949,1929,1867,1864,1863,1856,1853,1848,1846,1845,1832,1831,1830,1829,1828,1827,1826,1825,1820,1819,1818,1817,1816,1815,1814,1813,1812,1811,1810,1809,1775,1767,1766,1764,1760,1750,1739,1736,1733,1732,1731,1730,1729,1723,1722,1720,1719,1718,1684,1681,1680,1679,1678,1677,1676,1675,1674,1673,1672,1671,1670,1669,1668,1667,1666,1665,1605,1604,1600,1584,1506,1478,1449,1448,1441,1421,1407,1406,1405,1404,1403,1344,1342,1332,1331,1330,1318,1317,1265,1264,1263,1262,1206,1205,1204,1172,1148,1146,1145,1144,1143,1142,1117,1116,1115,1114,1070,956,955,899,855,836,835,832,803,801,800,799,798,797,796,795,793,792]) ).

thf(5138,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[5137]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP191^1 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.18  % Computer : n007.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Tue Oct  6 11:17:30 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 184.70/31.11  ...
% 184.70/31.11  
% 184.70/31.11   No.of.Axioms: 361
% 184.70/31.11  
% 184.70/31.11   Length.of.Defs: 0
% 184.70/31.11  
% 184.70/31.11   Contains.Choice.Funs: false
% 184.70/31.11  ................................................................................................................................................................................................................
% 184.70/31.11  
% 184.70/31.11  ********************************
% 184.70/31.11  *   All subproblems solved!    *
% 184.70/31.11  ********************************
% 184.70/31.11  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:2,axioms:287,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:5137,loop_count:0,foatp_calls:1,translation:fof_full)
% 184.70/31.11  
% 184.70/31.11  %**** Beginning of derivation protocol ****
% 184.70/31.11  % SZS output start CNFRefutation
% See solution above
% 31.10/31.18  
% 31.10/31.18  %**** End of derivation protocol ****
% 31.10/31.18  %**** no. of clauses in derivation: 5064 ****
% 31.10/31.18  %**** clause counter: 5137 ****
% 31.10/31.18  
% 31.10/31.18  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:2,axioms:287,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:5137,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------